{"text":"Question: What is the fourth smallest value in 2\/13, 0.22, 3, -2\/3, 0.48?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/184109142 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*r = -15*r - 10509. Suppose 0 = -4*z - 2*s - 3*s + r, 2*s = -5*z + 4383. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of -j**6\/720 - 11*j**5\/120 + 11*j**4\/12 + 9*j**2. Let x(t) be the second derivative of u(t). What is x(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-7)\/2)\/((-1)\/(-2)). Let j(n) = -n**2 + 2*n + 6. Let s be j(4). Let w be (-4)\/s + 4\/(-12). Which is the nearest to 0?  (a) w  (b) 3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14 + 0?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -23 + -1 + (-293 - -301 - (3 + 9 + 1))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14695.\nAnswer: 5, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*o + 59 + 121. Does 33 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1249033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.09, 1\/2, 2\/3 in descending order.\nAnswer: 2\/3, 1\/2, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**2 + 85 + 58 + 114. Is r(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -62076 - -6676. Round b to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i + 15 = -13*i. Suppose 3*t = -2*t. Let a(p) = p**3 + p**2 + p + 15. Let s be a(0). Solve t = -i*h + s - 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16720943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(21\/2 + 5 + 210\/(-14)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4 - -6)*(-14)\/(-4) + -4. Suppose -3*o + 3*l = -3, a*o + 2*l = -0*l + 3. Solve -8 = -3*z + o for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3058423284 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8359, 16746, 25133, 33520, 41907?\nAnswer: 50294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5096132 is divided by 1387?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -16 and 433.\nAnswer: -6928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 339150, 678301, 1017452?\nAnswer: 1356603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 24522.6 - 24523. Which is the smallest value?  (a) -347  (b) -4  (c) 4  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0436546 times 40.9\nAnswer: -1.78547314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*h**2\/9 + 694*h\/9.\nAnswer: 2*h*(h + 347)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-38)\/323 - 552\/(-4403). Let p = d + 496\/2849. Which is greater: 0.1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17426330 is divided by 497.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 2*g**4 - 3 - 5*g**4 + 4*g**4 - 4*g**4 + (2 - 5 + 0)*(-g**4 + g**4 - g**4) - 2*g**4 + 35 - 35.\nAnswer: -6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, c: 1, u: 1, g: 2, n: 2, y: 2}. What is prob of sequence gnyc?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m + 14. What is the remainder when q(-26) is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 1 z when two letters picked without replacement from dzzz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) be the third derivative of 83*g**5\/60 + g**4\/6 + g**3 + 20*g**2 + 1. What is the tens digit of l(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -4*d - 14. Suppose 0 = -97*t + 88*t - 45. What is the least common multiple of r(t) and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 5*c - 29. What is the tens digit of w(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46609 is divided by 172?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 231 - 231. Sort -2, c, -12.\nAnswer: -12, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*g**3*t**3 - g**3*t + 48*g*t**3 + 304*g*t**2 wrt g?\nAnswer: 114*g*t**3 - 6*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s - 39. Give u(14).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26 - 12. Suppose -3*i = -4*x + y, 0 = -2*x + 4*i - 2*i + 8. Differentiate 8*q**x + 7 + 2 + 9*q**2 - 2 wrt q.\nAnswer: 34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 * -12\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4973 and 535935237.\nAnswer: 4973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millennium in decades?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 457966.66 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 24899185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(-21) - 192\/(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 2\/11, 2\/3, 76721?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2\/7 + 2*m\/7.\nAnswer: -2*m*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/25))**(-31\/5)*f*f*f*f**(-16)*f*f*f**(-14))**(-6\/7) assuming f is positive.\nAnswer: f**(18378\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as -820\/827?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -319*y - 28763. Give p(-90).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 280 and 134440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(475) + -3 + (-1*sqrt(475) - sqrt(475)) + -5.\nAnswer: -5*sqrt(19) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 389212959?\nAnswer: 3, 41, 3164333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-28\/3)*x*(x**(-17)\/x)\/x)\/(x*x*x**(-29)*x*x**(1\/19)\/x) assuming x is positive.\nAnswer: x**(1099\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -44, -133, -264, -437?\n\"Answer: -21*u**2 - 26*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -2*k**3 + 6*k**2 - 8*k. Let g(r) = -3*r**3 + 5*r**2 - 7*r. Give -6*g(x) + 5*l(x).\nAnswer: 8*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (n**3 + n**2 - n**2)*(-7*n**2 - 3*n**2 - 2*n**2) - 3*n**5 - 14*n**5 - 9*n**5.\nAnswer: -38*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 13*m = -11*m + 192, 4*o - 4*m - 184 = 0. Calculate the remainder when 1749 is divided by o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1742000 to the nearest 10000.\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.26187 rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 21073 = -21069 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*k**3*m**2 + 109*k**2*m**3 + k*m**3 - 111*k*m**2 + 6*k - 2*m**3 wrt k.\nAnswer: 12*k*m**2 + 218*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 10 and 75956822?\nAnswer: 759568220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -646, -680, -720, -754, -770, -756?\n\"Answer: 2*x**3 - 15*x**2 - 3*x - 630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 145 - -344. What are the prime factors of u?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 253.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 3.99912. What is a rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that h**3\/5 + 57*h**2\/5 + 776*h\/5 + 1332\/5 = 0.\nAnswer: -37, -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9273154 kilograms in micrograms?\nAnswer: 927315400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-26040)\/240*(-154)\/217\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 6901*m - 268. Let s(q) = 129*q - 5. Determine -5*f(a) + 268*s(a).\nAnswer: 67*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:26 AM and 9:43 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8743424 and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2344.000939 + 2344. Round v to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 16 = 6*y. Suppose k + 0 = y. Solve 0 = k*o - 5*o + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1729979 + -34847648. Let n = -20917669 - s. Round n to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -222.032 - -219. Let k = 0.032 + j. What is the biggest value in 2, 0.13, k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1433963 or 1433953?\nAnswer: 1433953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 35 + -21. Suppose -3*c - 14 = -2*l - 6*c, 0 = 2*l + 5*c - 6. Suppose -3 - l = -2*w. Calculate the least common multiple of w and h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14 - -3) + 17 - (2 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10150800781*f - 10150800781*f - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(5\/4)\/j)\/(j**(-2\/59)\/j*j)*j**(-1)*j\/j**(-11) assuming j is positive.\nAnswer: j**(2663\/236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5740 and 100532.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zln when three letters picked without replacement from {n: 1, l: 3, o: 3, z: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 2*x**3 + 88*x**2\/7 - 151274*x\/7 - 43228\/7 = 0?\nAnswer: -107, -2\/7, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 2707.651 centuries?\nAnswer: 270.7651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0218162 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 47 + -45.1. Let i = -1.4 + o. What is the second smallest value in -0.2, i, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(2 + sqrt(220)\/sqrt(5))**2*5*3.\nAnswer: -2880 - 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y**3 + 220*y**2 + 50*y - 397. What is the units digit of x(110)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1606610679?\nAnswer: 3, 535536893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16448 and 44461.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxhxxxrxuxux. What is prob of sequence hr?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 5*i - 13 = 0, 3*i = -g + 2*i + 2. Let r(c) = -34*c - 4. Let u be r(g). Suppose -3*a + 213 = h, a + 531 - u = 2*h. Does 18 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*r**5 - 2*r**5 + r**5 - 60*r**3 + 60*r**3 + 48*r**5 - 3*r**5 + 4*r**5 + 0*r**5 + (0 + 5 - 3)*(-r**5 + 2 - 2).\nAnswer: 46*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -109?  (a) 2  (b) -12050  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 884267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54659251?\nAnswer: 54659251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -45 + 48.9. Let d = r - 2.9. Let q(v) = v**2 - 8*v - 11. Let m be q(-5). Is m smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 48.74712l?\nAnswer: 48747.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 607 = -25*t + 1205 - 373 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 + x + 9. Give v(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 52 - 207\/4. Suppose 2*u = -5*p + 23, -4*u + p = -2*p - 7. Let h = -3 + 2.8. Which is the nearest to z?  (a) 0.1  (b) h  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2777 + -22123\/8. Find the common denominator of 45\/4 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14031 (base 6) to base 16.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 27519341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 219*l - 216. Let y be u(1). Factor -1\/7*z**4 - 1\/7*z**5 - 1\/7*z - 1\/7 + 2\/7*z**2 + 2\/7*z**y.\nAnswer: -(z - 1)**2*(z + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -26, 10, -0.45, -1\/4, -0.2, 1 in descending order.\nAnswer: 10, 1, -0.2, -1\/4, -0.45, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (38\/133*28\/5)\/((-48)\/180)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -13  (b) -3\/7  (c) -16785\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29607 + 50397. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {g: 2, m: 1, l: 1, a: 4}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -89*d + 3. Let l be r(-4). Suppose 0 = -5*w - l + 1814. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 41863258*t**3 + 250148*t + 17.\nAnswer: 251179548*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -743*v + 656*v + 957 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = 2*w - 5*w + 23, 3*w = 2*f - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6\/23 or -2\/1198309?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 356 is divided by ((-4932)\/(-15))\/4 - (-4)\/20*4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(-1\/3))**(-17\/6)\/(c\/(c\/(c**(-2\/3)\/c)))**23*c**6\/(c**(-1)\/c)*c**(3\/5)*c**(-1\/4) assuming c is positive.\nAnswer: c**(8063\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 105 + -105. Which is the fourth smallest value?  (a) 0.1  (b) p  (c) -5  (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4293691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -4*d**2\/5 - 32*d + 704\/5 = 0.\nAnswer: -44, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 43  (c) 3\/5  (d) 1.579\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47972 is divided by 23985.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -2*p**3 - 31*p**2 - 17*p + 1. Let w(j) = -9*j**3 - 156*j**2 - 95*j + 4. What is -11*k(v) + 2*w(v)?\nAnswer: 4*v**3 + 29*v**2 - 3*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 7 + 6)*(-a - a + a) - 7 + a + 0 + 3.\nAnswer: -5*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 49040863?\nAnswer: 49040863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -570*s**2 + 34 - 34 + 155*s**2.\nAnswer: -415*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -31209*i**2 + 72*i**3 + 15599*i**2 - 9*i + 15612*i**2 + (0*i - i + 2*i)*(-i**2 + 4*i**2 - 4*i**2) - 1 + 1 - 2*i**3.\nAnswer: 69*i**3 + 2*i**2 - 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 16814 - 9431. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5*i**3 + 18*i**2 - 97920*i - 10156787 wrt i?\nAnswer: -15*i**2 + 36*i - 97920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*k - 5610 = 43*k. Find the first derivative of 2*l - 2*l - 1092 + k - 10*l**4 wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4398 - -4398.2. What is the nearest to -0.1 in y, 4, -169, 1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in -0.5, -2, 3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 11 - 7. Let a be (34\/8 - u)*12. Suppose -7*y + a*y + 104 = 0. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1884830.58 to the nearest 1000.\nAnswer: -1885000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 120, 464, 1034, 1830, 2852?\nAnswer: 4100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 + 2)*(a - 2 + 2) + (-a + 3*a - 7*a)*(29 - 20 + 35).\nAnswer: -218*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rvr when three letters picked without replacement from jjrrjjrvrjj.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/11  (b) -2  (c) 5  (d) -1.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 - ee475b?\nAnswer: -ee475d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.09 - -0.11. Let h = r + -0.5. What is the closest to 1\/2 in -2, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 41*c**3 + 370*c**2 - 191*c - 1767. Calculate l(-9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 561433.1 hours in nanoseconds?\nAnswer: 2021159160000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 10 + 4 = 3*f, -385*s + 4*f + 24 = -381*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 95, 106, 117, 128, 139?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5227260366?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 4356.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -24, 5, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -6*x**2. Let z(t) = -239670*t. Determine z(d(o)).\nAnswer: 1438020*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 505271603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -81, 136, 915 in decreasing order.\nAnswer: 915, 136, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, u: 2, f: 2, d: 2}. Give prob of sequence fdf.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -263, -229, -195?\n\"Answer: 34*x - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 7 = 224*f - 227*f, 4 = -4*n + 4*f for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-34)\/(-51)*(-3)\/(-4)*3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f. Let u(s) = -4*s**2 + 5*s. Calculate 6*c(i) - u(i).\nAnswer: 4*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1342643 or 1342642?\nAnswer: 1342642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -20*u**3 + 152*u**3 - 1 + u**2 + 0*u**3. Let f be b(1). Let n = -94 + f. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.43, 0, 0.25, -0.58, 0.2, 2\/7, -3\/13?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2870601.\nAnswer: 3, 71, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 43925316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 434 is divided by 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 19525 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + 4*u**2 - 2*u + 11. Let m be q(4). Suppose w - 2*w = -m*v + 4, -2*v + 4 = 0. Solve 3 = w*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y + 29. Let z be d(-13). Find the third derivative of 13*u**3 + 15*u**3 - 13*u**z - 5*u**2 wrt u.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 83 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.5, 1\/2, 106, 5 in descending order.\nAnswer: 106, 5, 1.5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 15, 43, 71, 99?\n\"Answer: 28*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -38, -396, -972, -1766, -2778?\n\"Answer: -109*k**2 - 31*k + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.32 + -0.22. Let s = -0.8 + -4.2. Let o = -0.06 + 5.06. Which is the closest to q?  (a) -2\/5  (b) o  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1510056147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 510004.3 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 251, 499, 747, 995?\nAnswer: 1243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -24 + (13 + -15 - -19) + -9.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7 - -4. Suppose -3*n - 19 = -5*z - 5, -4*z + 5*n + 6 = 0. Let o be ((-4)\/88)\/(1\/z). Sort o, 1, b.\nAnswer: b, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12267 and 280836?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*f - 5*r = 52*f - 55, -12 = -2*r. What is the nearest to 0 in 1\/5, 2\/15, f, 114?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:04 PM and 6:59 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4815 or 993?\nAnswer: -4815","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Is 450161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -m + 8. Let o be d(6). Suppose 2*c - o = 2. Let t(w) = 2*w**2 + 0 + 2 - 6*w**2 + w**3. Calculate t(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 344545 and -0.02.\nAnswer: -6890.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -871252*z**2 + 2085*z. Let x(v) = 8771*v**2 - 21*v. Calculate 7*r(b) + 695*x(b).\nAnswer: -2919*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*r - 20 = 16*r. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + l - 9 = 0, 5*l = 5*d - 2*d - 9. Suppose 11 + 0 = u - 5*r, -2*r + 50 = d*u. What is the lowest common multiple of u and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160 = 1526*g - 1506*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the first derivative of -1\/2*j**2 - 17 + 0*j. Let n(k) = 14*k. Calculate a(n(i)).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 107 in -2\/9, -2, -1\/5, -5, 1\/303?\nAnswer: 1\/303","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-21\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -66 - -69. Factor 12*c**2 - 397*c - 4*c**b + 397*c.\nAnswer: -4*c**2*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 20 + -19. Sort 4, -1, l in decreasing order.\nAnswer: 4, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/((35\/(-7))\/10))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 14946887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*p - 4. Let k be (p + 11)\/((-3)\/(-14)). Let z = 167\/6 - k. Sort z, -1, -2\/23 in increasing order.\nAnswer: -1, z, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5083 - 1267 - 1275 - 1270 - 1271 - 43*i.\nAnswer: -43*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the third derivative of p**7\/105 + p**6\/20 + p**5\/10 + p**4\/12 + 6*p**2. Find x such that y(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45\/(-345))\/((-9)\/621).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1830, 3448, 4842, 6006, 6934?\n\"Answer: -h**3 - 106*h**2 + 1943*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6353420.\nAnswer: 2, 5, 317671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-315)\/(-50) - 6)*20\/(-45).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 543811*i + 1726584 with respect to i.\nAnswer: 543811","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 5*s - 41 = -4*s, 0 = 5*y + 3*s + 101. Let b = -7\/10105 + -310465971\/70735. Let m = -4381 - b. What is the common denominator of y and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*w + 27*w + 13 = 3*m, -2*w - 4*m + 18 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 113 - 112. What is the biggest value in -5, z, 0.04?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 190 divide 1767534?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -2*x - 4. Suppose 71*u = 64*u - 7. Give l(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21*((-20)\/15)\/2\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -b + 3 + 1, 3*r - 1 = -4*b. Which is bigger: -1\/52 or r?\nAnswer: -1\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 9707.412 weeks?\nAnswer: 97850712.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 327547.9 nanoseconds?\nAnswer: 327.5479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -517.13391 to 0 decimal places.\nAnswer: -517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8*n**2 - 5604*n + 166687?\nAnswer: -16*n - 5604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 12\/(-15)*(-915)\/(-122). Let z(l) = -l + 4. Let o(j) = -j + 5. Let p(n) = 4*o(n) - 5*z(n). Let h(f) = -8*f + 3. Determine q*p(w) - h(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 148383851 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0532 * -4.\nAnswer: 0.2128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -318 - -318. Determine k, given that -2\/17*k**2 + p*k + 0 + 2\/17*k**4 + 0*k**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16502.8 - 16503. What is the closest to 2\/5 in 0.1, -4, n, -15?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -4*z**5 + 5*z**4 - 13*z**2 + 5*z. Let v(u) = -2*u**5 + 2*u**4 - 6*u**2 + 2*u. Let c(l) = 2*d(l) - 5*v(l). Find the third derivative of c(h) wrt h.\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 666909158?\nAnswer: 2, 19, 17550241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 41621 is divided by 58?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 20 = m, -2*m + a = m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -0*c. Suppose c = p + 6*p - 273. Calculate the remainder when p is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 - 1)*(-22*b + 13 - 13) + 17 - 8 + b - 13 + b - b - 3*b.\nAnswer: -24*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 + 4*f**2 + 6*f + 1. Let o be b(5). Let c be (o\/(-27))\/(1\/(-9)). Solve 0 = -3*r - c*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wzwjzwzzz. What is prob of sequence zww?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*b + 2*b = -q - 1 - 12, -4*b - 48 = 2*q - 8*q - 126 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1399952, 2799865, 4199778, 5599691?\n\"Answer: 1399913*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -17835 + 5?\nAnswer: -17830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3011718*o**5 - 3925186*o wrt o?\nAnswer: 60234360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8*c**5 - 26 + 28*c + 26 + 6*c wrt c.\nAnswer: 160*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*(x\/(x\/(x*(x\/x**(1\/22))\/x*x)))\/x)\/(((x*x\/x**(-4))\/x)\/x)*(x**(-2\/15))**(-5\/17))**(-18) assuming x is positive.\nAnswer: x**(6753\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 58*i**2 + 341*i + 10. Calculate o(-7).\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 - -9. Let q(d) = -d**2 - 7*d - 4. Let h be q(-4). Suppose 4*b + 4*z = h, -b - z = -6*z + 16. Sort -3, v, b in increasing order.\nAnswer: -3, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -25\/54 = -123\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 12, o: 3, v: 4, d: 1}. What is prob of sequence oo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*n + 2934 + 6648 = -346*n - 4040 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 80\/240*(0 - 48\/(-2)). Suppose -45 = -4*r - 5*r. Solve -r*s = -u*s - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 24.68 + -22.5. Let u = a + -4.76. Round u to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) 0  (b) 15  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = 2*k - 35. Let d = k + -3. Solve -c - 5 = d*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x + 5*x = 5*s + 95, -x = 4*s + 6. Calculate the remainder when 27 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 78*a - 703. Calculate z(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 6, 2*w + 4 = -2*m + 2. Suppose 3*c + 2*c + w*r = 14, c - r = 0. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 38991*h**2*s*v**3 + 2*h*s*v**2 - 2*h*s - 131*h*v**3 + 2*h - 5*s*v**2 wrt h.\nAnswer: 77982*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {e: 2, u: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.3, -100, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 p when three letters picked without replacement from yooepooypoeytyyypy?\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 200039 to the power of 1\/2, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.1294 * -3.\nAnswer: -3.3882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 8*t + 7*t**2 + 4*t**2 + 0*t**2 - 5*t**2 - 6. Let x(u) = 5*u**2 + 7*u - 5. Let m = -6 - 0. Determine m*f(h) + 7*x(h).\nAnswer: -h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 1\/4  (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p = -5*t - 0*p - 14, 2*t + 5*p = 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16 - 10. Let a = y + 37. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2726823002 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(4860))\/((sqrt(72)*3)\/sqrt(6)) + -2.\nAnswer: -6*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 c when two letters picked without replacement from qddddcdqc.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1702*s**4 + 7977*s**3 - s - 1621*s**4 + 525 - 7977*s**3 wrt s.\nAnswer: -39876*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 8 = -0*g. Let q be -1*10\/(2 - 4). Suppose 1 = -g*l + q. Is l > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -3. Suppose -r*k = k - 12. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 22 = 5*k - 0*l, -4*l + 34 = 3*k. Suppose 0 = -3*v - k, v + 1508 = 3*y + 3*v. Is y a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g**2 - 2*g**2 + 2*g**2)*(0*g**2 - 3*g**2 + 5*g**2)*(-51*g - 48*g + 86*g).\nAnswer: -26*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -27*d**2 - 244*d - 29. Determine i(-7).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-751950)\/9400 - -80)*4?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 18, 7, 293, 6, 4 in increasing order.\nAnswer: -12, 4, 6, 7, 18, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*c - 7*c - 14*c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gigd when four letters picked without replacement from {g: 7, d: 2, i: 9}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + (-525)\/147 - 317510\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21981468 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 8*j**3 + j**2 + 123*j - 934. List the prime factors of x(8).\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -3*v**3 - 6*v**2 + 12*v + 24 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/1659 and 169\/168?\nAnswer: 13272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-134)\/1)\/(-2 + 0). Let y = -40 + q. Suppose 5*c = 4*m - 3 - 7, -2*c = 2*m - 14. Solve -4*f + c*r = -3*f + 12, 0 = f - 5*r + y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1953394, -1953370, -1953330, -1953274, -1953202, -1953114, -1953010?\nAnswer: -1952890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 4*a**2 - 4*a - 7. Let q(d) = -d**3 + 3*d**2 - 3*d - 6. Give 4*q(k) - 3*y(k).\nAnswer: -k**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 3*k + 20. Determine s so that -s**2 - s + k*s**2 - 4*s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8208 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -297*w**2*x - 75172*w**2 + 15*w*x + 2*w - 3575*x wrt w.\nAnswer: -594*x - 150344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -6 + ((-432)\/(-90))\/((-2)\/(-485)).\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-three sixths of a decade?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10535 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16*n**6 + 38*n**6 - 7*n**2 - 12*n**2 + 0*n**2 wrt n?\nAnswer: 2640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k**2 - 78*k = 0 for k.\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -367, -30500, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 5*k = 29, 4*k = -5*y - 23 + 67. Solve -10*a - y*a = -18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xgs when three letters picked without replacement from {g: 8, x: 5, s: 2}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*c - 9*c + 70. Sort 5, c, -3, 1.\nAnswer: c, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16 + -3 - 2) + 4 + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/3))**(-2\/7)\/(h**3\/(h\/h**(1\/3))))\/((h\/h**1)**(-1\/8)\/(h**(-4)*h**(-4))) assuming h is positive.\nAnswer: h**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/20)\/(4\/(-130)). Let w(p) = 6363*p**3 + 3*p**2 - 3*p + 21. Let d be w(r). What is d rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 12*j**4 + 9279*j**3 + 4*j**2 - 28148?\nAnswer: 288*j + 55674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of q**6\/9 + 4*q**5\/3 - 25*q**4\/3 + 160*q**3\/9 - 55*q**2\/3 + 28*q\/3 - 273. Factor x(s).\nAnswer: 2*(s - 1)**4*(s + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -13 - -7 - (1 + -3). Let s(o) = 9*o + 30. Let f be s(v). Let m(g) be the first derivative of -3*g**2\/2 - 6*g - 2. What is m(f)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 601397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.03 + 0.07. Let t = -0.1 + n. Let v = -5 + t. Which is bigger: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the second derivative of -o**6\/10 - 7*o**5\/4 + 103*o**4\/3 + 16*o. Find the third derivative of l(d) wrt d.\nAnswer: -72*d - 210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-3)\/(-6)*-11 - 6 - 6.\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v - 3. Let x be n(-6). Suppose -2*l = -z - 20, -3*l - 7*z + 30 = -x*z. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -3*p + 1107, -5*p + 17*c = 16*c - 1845. Calculate the highest common divisor of 18 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -f + 8. Let k be o(6). Suppose -k*x = 3*i - 298, -2*x = x - 15. Suppose 5*p - i = -p. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 265262267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 160*d = -49*d - 126*d - 12395 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -16.4?  (a) -1  (b) -14  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1c99 - -16?\nAnswer: 1cb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2 + 7*m + 6. Let n be d(-4). Let b = -3 - n. Suppose 3*a - 54 = -b*z, -6*a = -2*z - 2*a + 66. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*f = -23*f - 35. Let w(i) = 27*i + 30. List the prime factors of w(f).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 7*d - 3*d + 27 = 0, -4*g - 46 = 2*d. Let b = g - -34. Suppose 17*l - b*l = -348. Is l a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1331) - ((sqrt(1331) - (sqrt(1331) + sqrt(1331) + sqrt(1331) + 2 + sqrt(1331))*6) + sqrt(1331))) + sqrt(1331))**2.\nAnswer: 6336*sqrt(11) + 766800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 20750 = -2*z, 56*z - 51980 = 51*z - 5*u. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*r = -2*r. Suppose r = -o + 23 - 2. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4217 at most as big as 4218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 317969831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-21))\/(9\/12*(-48)\/126).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - x**2 - x + 1. Let h be t(0). Let z(y) = -18*y**3 - 2*y**2 + 1. Determine z(h).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 28.1*-335.\nAnswer: -9413.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 798.3252 months to millennia.\nAnswer: 0.0665271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.01 - -0.125. Let v = r - 0.13499585. What is v rounded to seven dps?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) 0.21  (c) 0.1  (d) -2\/7  (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-810)\/105)\/(-27) - (-2 - (-226)\/105). What is the second smallest value in 4, k, -466?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 30 and 13435667690909.\nAnswer: 13435667690939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2541, 2620, 2685, 2730, 2749, 2736, 2685?\nAnswer: 2590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1119320 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 17, -18, -3, -24 in descending order.\nAnswer: 17, -3, -18, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 162 = 280*w - 279*w, 0 = -5*m - 5*w + 395. Calculate the remainder when 1227 is divided by m.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 44648697?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5 + (-55)\/(-10))\/(6\/4). Let c be (2\/4 - (-81)\/(-108))\/2. Let a = 3 + -3.5. What is the closest to c in a, -3, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 32 + -33. Let n be (v\/3*3)\/(1\/(-3)). Suppose 0 = 3*f + 3*i - 243, f - 2*i - 330 = -n*f. Does 41 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32 - 15) + (5 - 12)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 + 2. Let a(x) = -4*x - 1. Let f be a(z). Let r(u) = 2*u + 4. Let p be r(4). Solve -5*g - 5*t - 15 = 0, 3*t + p = g + f for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/2  (b) 2\/33  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 42 = 5*z. Let o be ((-6 - 0)*-31)\/(z + 8). Round o to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 41*h - 71404 + 71117 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*c - 6 = -56*c. Find the third derivative of -4*z + z + 80*z**c - 15*z**5 + 5*z - 33*z**2 wrt z.\nAnswer: -900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 890 is divided by 4 - (5\/(-1) - 1*456\/19)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t\/(t**(-25)*t))\/(t**(-23)*t))\/(t*t**(19\/3)*t*(t\/(t*t**(-20)))\/t))**(-3\/2) assuming t is positive.\nAnswer: t**(-59\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001914 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*l - 553 = -21*l. Suppose -5*a + l = 4. Let h be 1\/(-2) - 77\/(-14). Solve 2*v + h*j + 21 = 0, -j = 2*j + a for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -7*n + 15. Suppose -3*a + 131 = 14. Let b be (16\/n)\/(13\/a). Solve 0*o - k = -5*o - 12, 4*o = 4*k - b for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2\/(-8) - ((-169768)\/32 + 13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0*3*(-7)\/21\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-22))\/((-99)\/(-11979)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*q - 31*q + 2201 = 314*r, 3*q - 17 - 2 = -4*r for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2 and 3231?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 1305*y - 14352. Let c be n(11). Put -5, 24, c, 16 in decreasing order.\nAnswer: 24, 16, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 499*357\nAnswer: 178143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -65*v + 3. Let a(i) = -141*i + 7. Let t(o) = -6*a(o) + 13*p(o). What is t(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(30\/122)*-1. Let n be 42*37\/((-4403)\/34). Is n at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 115297024 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + 4*o - 5*o. Suppose 3*u + m - 44 = o, u - 22 = -2*m - 4. Calculate the lowest common multiple of 24 and u.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 210 = 4*s. Let u be 1\/5 - s\/15. Sort 0, u, -3 in decreasing order.\nAnswer: u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -126.8 - -875.8. Let t = g + -748.6. Sort 0, 2, t, 3 in decreasing order.\nAnswer: 3, 2, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**3 - 6*g**2 + 6*g - 2. Let c be b(5). Let w(t) = -t**2 + 4*t + 2. Let i be w(4). Suppose 0 = -3*v - i*v. Solve -o + c*o - 6 = v for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -26493274.367 rounded to the nearest 100?\nAnswer: -26493300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 45\/11, -3\/4, -261\/19?\nAnswer: -261\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -9*k**2 + 17672*k - 17672. Give x(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1120 + 498 + 69 + 5 + 10*c.\nAnswer: 10*c + 1692","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4 - 2. Suppose 0 = -s - 3 + 6. Factor 4*c**4 + 53*c**3 - 3*c - 50*c**s + 1 - 3*c**n - 2*c**2.\nAnswer: (c - 1)*(c + 1)**2*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.31 - 0.3. Suppose 114*y - 111*y = 18. Let h be (-1 - -2)\/(-4) + y\/24. Do h and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k + 2. Let w be i(-2). Let n be (-1 + -2)\/6*w. Suppose 79*h + 3242 = 2610. Put -1, h, n in increasing order.\nAnswer: h, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = -4*o + 22036, 0 = 2*o + 3*j - 4*j - 11012. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -63*y - 75*y - 72*y - 69*y + 282*y. Let j(w) = 22*w + 9*w - 10*w. Determine v(j(l)).\nAnswer: 63*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 24*h + 1. Let s = -4710 + 4712. Let g(x) = x + 1. What is s*g(b) - d(b)?\nAnswer: -22*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 138 divided by -3.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -9*r + 288. Let n be x(-52). Suppose 3*l + t = 2*t + 2204, l = -5*t + n. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ukl when three letters picked without replacement from {l: 2, k: 1, r: 1, u: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 120033*g**4 + 130890 wrt g.\nAnswer: 480132*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -21\/26  (b) -0.213  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 17486064619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*j - 5, 0*j + 5*j - 161 = -4*a. Suppose -3*c = y - a, 4*c - 2*y - 31 = 21. Suppose -b = -4*u - c, b - 53 = -b - u. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (((sqrt(114) - (sqrt(114) + 5*sqrt(114)))\/sqrt(6))**2 - (-4 + sqrt(931))**2) + -2 + 3 + 4*sqrt(475).\nAnswer: -474 + 76*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9)\/(-9) - (0 + (2 - 1)). Suppose -3*t = 2*w - 5, -5*w + 5 = -u. Which is smaller: t or 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -35. Suppose 0 = -4*w + 13 + 107. Let v = y + w. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*b + 5 - 5)*(1 - 2 + 3)*(2 + 7 + 1)*(6 - 5 + 2)*(3*b**3 - 19*b**2 + 19*b**2) as s*b**2 + o + l*b**3 + i*b + h*b**4 and give h.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -1a887?\nAnswer: 1a885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2332*y. Let h(o) = 22265*o. Give h(f(v)).\nAnswer: 51921980*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -87*o**2 + 2*o**2 - 483*o**3 - 88*o**2 wrt o.\nAnswer: -2898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5849917?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 647 + -644. Let d(t) be the first derivative of 5145\/2*t**6 - 400*t**a + 1680*t**4 - 2 - 3332*t**5 + 40*t**2 + 0*t. Factor d(q).\nAnswer: 5*q*(7*q - 2)**3*(9*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.08 - 3.08. Let i = 158\/627 + -4\/57. Put i, 0, z in descending order.\nAnswer: i, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**3 + 6*u**2 - 5. Calculate y(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 651 is divided by 76.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.85 + 0.15. Let p = c - 7.6. Suppose -o + 1 = 3. Sort -0.1, o, p in increasing order.\nAnswer: o, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 204563740 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1 - 969\/9)\/(326\/(-1956)) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 7*h**2 + 37*h - 25. Let j(z) = -4*z**2 - 18*z + 14. Let p(q) = -11*j(q) - 6*w(q). Determine p(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.73 + -0.13. Let x = -0.7 + b. Suppose -10 = 2*m, -3*s + m - 6*m - 16 = 0. Sort -5, s, x.\nAnswer: -5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*m + 36. Suppose 0 = 3*d - m*d + 168. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:38 PM and 6:20 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 15*s**2 - s - 11. Let n be u(-4). Let a = n + -94. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1817 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: Suppose l = -2 - 29. Let x = -26 - l. Suppose 4*j - 3*j = x. Put 4, j, 2 in descending order.\nAnswer: j, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 5004223, 10008430, 15012637?\n\"Answer: 5004207*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 2969*k**2 - 22*k + 22. Let f(z) = -1485*z**2 + 12*z - 12. Calculate 11*f(o) + 6*r(o).\nAnswer: 1479*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h and 1 t when three letters picked without replacement from kkkhhtttkk?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/7848 and -46\/118902105.\nAnswer: 951216840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of o**7\/140 - o**4\/24 - o**3\/6 - 8*o. Let x(q) be the second derivative of k(q). Differentiate x(l) with respect to l.\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18 - ((5 - 9) + 13)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*f - 19901 - 50403. Does 4 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1122 (base 9) to base 8\nAnswer: -1476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by 12.\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 - 35*b - 176. Calculate c(-6).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3653 + -3649 - (6 - (2 + 1 + -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3532564 (base 7) in base 3?\nAnswer: -211121122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + 9. Let h = -9 + u. Let d(w) = -3*w + w + 2*w - 2*w + 6. Calculate d(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the first derivative of -m**9\/6804 + m**7\/1890 + m**3\/3 - 13. Let n(y) be the third derivative of l(y). Factor n(t).\nAnswer: -4*t**3*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2566?\nAnswer: 2, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {o: 2, q: 1, v: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 3*t + 4. Suppose 5*i - 26 = -4*s, -s - 2*i - 6 = -7*i. What is the tens digit of c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 1192268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -593*0.162\nAnswer: -96.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 421240829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 391460339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5359 + 5?\nAnswer: -5354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -883, -1216, -1771, -2548?\nAnswer: -3547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1121998 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) - (sqrt(2) + sqrt(10)\/sqrt(20)))**2*-4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-112)\/(-588))\/(452\/(-339))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 644 and 6601.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, o: 2, j: 1, z: 2}. Give prob of sequence ozn.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**3 + 9*t**2 + 8*t - 8. Suppose -42*j + 891 = 219. Suppose 2*w = -3*p - j, 12 = -2*p - w - 0*w. Give x(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 22. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4641557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m**3 - 4*m**3 - 2*m**3 - 18*m**2 - 8*m**2 + 2*m**3.\nAnswer: -2*m**3 - 26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - (-1 + -1) - 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 17 and 2159.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -99*j - 102*j - 726*j**2 + 197*j + 2*j**2 - 2*j**2 - 2*j**2 + (2 + 1 - 4)*(0*j**2 - 2*j**2 + j**2).\nAnswer: -727*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-12) - (-954)\/24. Find the second derivative of q*i**2 + i - 36*i**2 - 5*i + 0*i wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 7*i - 7. Let v be o(5). Suppose 0 = -v*x - 4*q + 5, -4*x - 4*q + 5 = 1. Let y be -15*x*1\/3. Sort -3, y, 1 in descending order.\nAnswer: y, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 50 + -72. Let z = 118 + r. Let t = z - 95.894. What is t rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -15*q**3\/4 - 6354*q**2 - 35559*q\/4 - 5079\/2 = 0. Calculate q.\nAnswer: -1693, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -768 - -771. Let b be (-18)\/4*(-2)\/1. Suppose 7*r = -5*r + 180. Solve -m = -t*m + 5*l + b, -2*l - r = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - 87*v**2 - 88*v - 498. What is the tens digit of k(-87)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -4*(-1 + sqrt(2))**2*-1.\nAnswer: -8*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1257, 858, 197, -726, -1911, -3358, -5067?\n\"Answer: -131*r**2 - 6*r + 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 PM and 3:23 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -2744, -37, 6 in descending order.\nAnswer: 19, 6, -37, -2744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/(-18))\/((-14)\/(-8)). Let o = -136\/315 + y. Let s be (621\/483)\/(24\/28). Which is the nearest to -1?  (a) s  (b) o  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 76 - 118 = 6*x. Let n(o) = 5*o**2 + 5*o - 24. What are the prime factors of n(x)?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.51 - -40.51. Let j = p + -42.68. Let t = j + 3.2. What is t rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 21*w**2 - 25*w - 111. Is a(52) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -1. Let p be 10\/35 + 2018\/42. Let u = p + -48. What is the closest to 1\/4 in 3\/7, u, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 = -2*v + 3*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = -2*b - 1, -116*b + 119*b = 8*v - 87. Solve -4*c + 0*c = p - v, p - 8 = -3*c for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12 (base 4) to base 7\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(7)*1*-1)**2 - (sqrt(175)*-2)**2) + -5.\nAnswer: -2777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140*m + 159*m - 341 + 94 = 0. Solve 0 = n - 5*v, 0 = -18*n + m*n + 3*v + 22 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -r**3 + 40*r**2 + 74*r - 9. Determine s(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2304 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16839261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2344.02 and 7.6.\nAnswer: -17814.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 174\/(-448) + 42\/1344\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -227874*d**3 - 218391.\nAnswer: -683622*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**6\/40 - 2*l**5\/15 + l**4\/3 - 3*l**3\/2 + 17*l**2. Does 13 divide r(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*b = -b - 50*b + 1162 for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -386834 not equal to -386835?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -5*p - 310. Let c(a) = -323*a + 9. Calculate r(c(v)).\nAnswer: 1615*v - 355","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6648 is divided by 761?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3895318 divided by 1?\nAnswer: -3895318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 0.05  (c) 0.1  (d) -12  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 9\/324 + (-2)\/(-9). Let d = 2\/237 - -223\/1659. Which is the second smallest value?  (a) d  (b) -15  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 1, 20, 5 in decreasing order.\nAnswer: 20, 5, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hmxh when four letters picked without replacement from mmxhxhhhxxhhhhhmhh?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 11\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(4*(1 + -1*sqrt(304) + sqrt(304)) - ((sqrt(190)\/sqrt(160) - -3*sqrt(76)) + -5)))**2.\nAnswer: -450*sqrt(19) + 13171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*k - 98*k - 25*k + 37*k + (-2 + 4 - 3)*(1 - 1 - k) + 3*k + 6*k - 5*k.\nAnswer: -86*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-16) - (-108)\/(-304). Let a(c) = c**3 - 4*c**2 - 5*c. Let z be a(5). Is z equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -36 + 57. Suppose -2 = -2*i - 344*z + 348*z, 5*i = 3*z + 26. Calculate the greatest common divisor of i and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 203599 and 81458109.\nAnswer: 896039199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = 3*b + 5*h + 210, -b = -h + 31. Let a = b + 174\/5. Is a greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1989 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 7*k**2 + 4*k**2 - 6*k**2. Let g be h(-1). What is the second derivative of 3*t**g + 2*t - 4*t**5 + 0*t**5 + 0*t wrt t?\nAnswer: -20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 6 - 2 + (-6 - 1 - 15)*(1 + 1 + 2))*(2*g**2 - 1 - 1 + 1) in the form f*g**2 + s*g + m and give m.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 188 is divided by 72?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1224 - -3941. Let g(j) = j**2 + 24*j - 21. Let u be g(-25). Suppose u*v + 2*q = 5*v - a, 2*q = -10. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/153 and (-33)\/15*(-75)\/35.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + 1. Suppose -8 = 3*y - z. Determine f, given that -f + y + 5*f - f**2 - 3*f = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the second derivative of -2*g**3\/3 + 55*g. Let y(f) = -2*f**2. What is q(y(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 4*k**2 - 2*k - 5. Let x be h(-4). Let o be 2*x\/(9\/6). Calculate the least common multiple of 4 and (-2 - 0) + o + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**3 + 5*p**2 + 11*p - 7. Let c be i(-8). Let a be (13838\/55)\/((-2)\/(-10)). Let r = a - c. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 67728?\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 63422 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/3270 and 71\/134070.\nAnswer: 134070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 59304 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 390 and 25285.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 82341, 82292, 82225, 82152, 82085?\nAnswer: 82036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1266932 a multiple of 586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.35880976 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 223*o + 2 - 2.\nAnswer: 223*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-9275)\/53 - 5*-1. Is w <= -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 6*g. Let m(k) = -6381*k + 1. What is m(r(l))?\nAnswer: -38286*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 2*w - 3 - 3, 5*w + 3*r - 36 = 0. Factor 31*b**2 + 5*b**3 + 17 - 2 - w*b**2 + 35*b.\nAnswer: 5*(b + 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + 3. Let c(v) = -v**2 + 4*v + 2. Let s be c(d). Let n(x) = 6*x. What is the units digit of n(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.45 in -49, -6, 0.1, 4\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 150 is divided by (-18)\/(-27)*(1 - 1\/(10\/(-1745)))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02852 rounded to three decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -412 + 412 + 1*-7 - 321\/(-48).\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1573*-4.\nAnswer: 6292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5720.\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 324*h - 245*h + 393*h + 2639 + 3969 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of 101*y**3\/3 + 3. Let i(j) = -j**2. Give i(s(d)).\nAnswer: -10201*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -967634 + 0.5.\nAnswer: -967633.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c - 4. Let o be x(4). Suppose 4*d - d = o. Factor d + 1\/3*r**2 - 1\/3*r**4 + 0*r**3 + 0*r.\nAnswer: -r**2*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 4530, 5150, 6674, 9504, 14042, 20690?\n\"Answer: 67*v**3 + 50*v**2 + v + 4412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 71, 610, 2087, 4970, 9727?\n\"Answer: 78*u**3 + u**2 - 10*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/7, 44, -3 in descending order.\nAnswer: 44, 4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 19373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001071492 to seven decimal places.\nAnswer: -0.0001071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-368)\/(-828) + (-4)\/90)\/((-2)\/3)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the third derivative of -2*m**7\/105 - 7*m**6\/12 + 457*m**5\/30 - 594*m**2. What is the third derivative of y(n) wrt n?\nAnswer: -96*n - 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.32 and -1862691?\nAnswer: 1862691.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -13\/1486536 and -52\/3035011.\nAnswer: 72840264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -4*q + 24685, -464*p - 4*q = -466*p + 9846. What are the prime factors of p?\nAnswer: 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 172170 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16625 = -115*w + 33082 + 566808. List the prime factors of w.\nAnswer: 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from wwsws?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*x + 828 = 24*x. Solve -4*d = y + 13, d - 5*d = 3*y + x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1088) - (-3 + sqrt(1088)))*5 + -5 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*q**3 - 87*q**3 + 35*q**3 - 13*q**3 + 30*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 0.4  (b) -0.13  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 4965856?\nAnswer: 1\/1241464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 1.6585524.\nAnswer: -0.66342096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, -1011.7, 4, 17, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -d + k, -3*k = 4*d - 0 + 17. Which is the nearest to d?  (a) -4  (b) 5  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of 7*z**4\/4 + 25*z**3\/3 + 5773*z**2. Give f(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 5 = 0, -4*g = 2*p - 17 - 29. Calculate the least common multiple of 2 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 6. Suppose -3 = -u*d + 1. Let b(p) = 4*p**2 - 1. Let v be b(d). Solve v - 9 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9306 and 4.\nAnswer: 18612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1340324 + -1?\nAnswer: 1340323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 5*c**2 - c**4 + 2*c**3 + 2 + c**2 in the form t*c**4 + l*c**2 + z + x*c**3 + o*c and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 7*q**2 - 7*q - 4. Let x be i(-7). Suppose -t + x = 3*t + 3*o, -3*t = -2*o - 38. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -241949*s**4 + 371*s**2 + 241951*s**4 - 1 + 387*s**2 in the form w*s**4 + b*s + z*s**2 + u + v*s**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**2*y**2 + 172*m**2*y + 2*m**2 + 42*m + 2*y**3 with respect to y.\nAnswer: -4*m**2*y + 172*m**2 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 3:10 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 6*x**2 - 14*x - 3. What is the tens digit of v(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p + 4*i = 3*p + 871, 863 = 5*p + 2*i. What is the highest common factor of p and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the first derivative of -c**3\/3 + 6*c**2 + 9*c + 192. What is k(9)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -111060?\nAnswer: 1\/27765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -23*l + 1590 - 555. What is the smallest common multiple of l and 11?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.08 + 0.22. Let w = -14 + 13.9. Which is the nearest to w?  (a) 2\/5  (b) -0.4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 7  (c) 298.9  (d) -0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -27997, -109874, -246335, -437380, -683009?\nAnswer: -983222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -2, -4, 24?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2311164 less than or equal to -57779128\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 695*j + 160*j + 1 - j - 4*j + 4*j - 2*j - 3 + 3 + (1 - 1 + 1)*(j - 6*j + 4*j) - 5*j + 5*j - j.\nAnswer: 850*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-1)\/(-2))\/(1\/2)*14. What is the remainder when 84 is divided by (77\/n - 7)*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 141*b. Let p(k) = 247606*k. Determine p(y(j)).\nAnswer: 34912446*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (3 - -4) - -16 - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -68309, -139873, -211415, -282923, -354385, -425789?\nAnswer: -497123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3 != -12\/1717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 2 + 2*n**2)*(3 - 3 - 2*n) - 293*n**3 - 678*n**3 + 4*n**3)*(-1 - 3 + 7) to k*n + w + h*n**2 + g*n**3 and give g.\nAnswer: -2913","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1043, 1044, 1045?\n\"Answer: k + 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c - 744 = -31*p, -120 = -5*p + 211744*c - 211741*c for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of 2*i**7\/21 - i**6\/10 + 4*i**4 - 23*i. What is the third derivative of r(y) wrt y?\nAnswer: 240*y**2 - 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t + 5*t + 7 = 0. Calculate the remainder when 7 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**3 + 4*r**2 - 3*r + 1. Let v be k(3). Suppose d - 5 = v. Calculate the remainder when 2\/(-3) - (-214)\/d is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k + 6. Let t be o(6). Suppose -2*s + a + 95 = t, 3 = -3*a + 2*a. 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: Calculate the least common multiple of 18 and 509196.\nAnswer: 1527588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -100*g**3 - 24*g**2 + 37*g - 133. List the prime factors of l(-9).\nAnswer: 2, 5, 7, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 45\/(-252)*(-60)\/75?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -2*t + 5*b - 16, -3*b + 3 = -2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 4422 and 670?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60 + 7*v + 60.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j**6\/j*j))*j**(1\/4)*j)\/(j**(-4\/5)\/j*j*j**(-2\/5)) assuming j is positive.\nAnswer: j**(169\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -16*c**4 - 2*c**2 + 14*c - 2. Let z(y) = -31*y**4 - 5*y**2 + 27*y - 5. Let o(k) = -5*v(k) + 2*z(k). What is the second derivative of o(l) wrt l?\nAnswer: 216*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 - 18. Let q be a\/(2*(-3)\/6). Let f be (0 - 16\/(-14)) + -1. Which is smaller: f or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011100 - -100001100100101?\nAnswer: 100001011001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.012?  (a) 0.09  (b) 2\/65  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 254 + -93. Let z = g - 158. Solve z*d - 16 = -d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*d + 43400 = 39700 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -55*t + 5. Let n be i(-5). Round n to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-30)\/330*(12 - -3)\/5. Put -9\/2, y, -4\/9 in decreasing order.\nAnswer: y, -4\/9, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 - 2*d - 2. Let f = 0 + -1. Let v = f - 3. Let q be (-16)\/(-6)*(-6)\/v. Calculate k(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 12 - 0. Let r = h - -18. Suppose -7*c + 9 = -19. Calculate the lowest common multiple of r and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r = 5, -77*y + 159*r - 185 = 68*y - 209*y + 68*y - 22*r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.0579066 milliseconds in days?\nAnswer: 0.0000000353924375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2326060, -2326061, -2326062, -2326063?\n\"Answer: -a - 2326059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -153300 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*c*q**3 + 6*c*q + 786*q**5 + 3*q**2 - 8 wrt q.\nAnswer: 30*c + 47160*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 611 + -611.2. Suppose -8 - 6 = 2*p - 2*f, 5*p + f = -5. Which is the closest to 3?  (a) g  (b) 2\/3  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4211 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -217.\nAnswer: -4\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/10*(-10)\/(-4). Let w be u\/((-20)\/6)*5. What is the second derivative of 2*a**3 - 7*a - w*a**3 + 2*a**3 + 3*a wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-10) - 3)*(-3395)\/291.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 2*k**2 + 2*k + 10. Let d be t(4). Let f = -44 + d. Which is smaller: 5 or f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -4, 11, -7, -1, 4, -132 in descending order.\nAnswer: 11, 7, 4, -1, -4, -7, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*n*q**3*u**2 + n*u**2 + 633*q**4*u**2 - q**2*u - 6*q**2 - 12*q*u**2 wrt q?\nAnswer: 12*n*u**2 + 15192*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + k = -3*k + 28, -k + 10 = 2*z. Let w(a) = 55*a**2 + 8*a - 2. Does 13 divide w(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 699 divide 1521313297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 13\/4 - 1\/4. Suppose 2*z = -5*m - 0*z + 9, d*m = 2*z + 15. Suppose -2*v = -198 + 196. Solve -f - m = v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 2*x**3 + x**2 + 2*x + 2. Let s(i) = i - 17. Let h be s(19). Let z(n) = -4*n**3 - 2*n**2 - 5*n - 4. Give h*z(y) + 5*p(y).\nAnswer: 2*y**3 + y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -832  (b) -7407  (c) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand n**5 + 3*n**2 - 3*n**2 + (-2*n**3 + 0*n + 0*n)*(-522*n + 522*n - 12*n**2)*(-3 + 5 - 3).\nAnswer: -23*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = l + 3*a, -5*l - 2*a + 6 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1080095 by -1649.\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (6 - (18 + -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67 and 1124265427.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2989305 and 18755.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 73*h**3 - 26*h**2 + 12*h + 5. Let i(t) = 183*t**3 - 63*t**2 + 30*t + 12. Calculate 5*i(d) - 12*x(d).\nAnswer: 39*d**3 - 3*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**3 - 7*j**2 - 2*j - 4. Let c be d(-7). Let i = c + -6. What is the remainder when 11 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 - 3*g - 1. Suppose -170 = -25*n + 5. Let o(k) = -2*k + 12. Let d be o(n). What is j(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*r = 2*w - 4*w - 26*r - 28, 59*w = 54*w - 3*r - 70 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 4*s**3 - 42452*s**2 + 117497824*s - 25515746112 = 0.\nAnswer: 237, 5188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -16*u + 140 - 308 - 14. Is g(-14) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) + sqrt(132)*3)*2)\/(sqrt(12) - (sqrt(300) + sqrt(300)*3)).\nAnswer: -8*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (35 - 31) + 1 + (-1 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one halves of a year?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 264 = -318. Put -14, 4, -4, -2, x in decreasing order.\nAnswer: x, 4, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50711 is divided by 3250?\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes after 11:28 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 5604016.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 296629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 46 * 52731.\nAnswer: 2425626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 904, 1863, 2822, 3781, 4740, 5699?\n\"Answer: 959*r - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 45312 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -450 + 498. Let l be 77\/(-14)*h\/(-44). Let j(x) = x - 17. Calculate j(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z**4 + 2*z**4 - z**4)*(2*z - z - 2*z)*(4 - 7 + 2).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -7*c - 13. Let v be d(-3). Solve 4*r = v*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 35.19 - 35. Let r = m + -0.26. Let f = r + 0.04. Which is the biggest value?  (a) f  (b) 0  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u + 5*a - 20 = -3*u, -2*u + a = 4. Suppose 4*z - 2*m + 4*m - 20 = 0, u = -2*z - 5*m + 2. Suppose -z*r = -10443 - 963. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + 6*r - 3. Let a be q(2). Suppose 0 + 14 = 3*o + 5*y, 0 = 5*o - 4*y + 26. Is 5 a factor of (-113)\/o - a\/30*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 46181 is divided by 6564?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**10*y)\/(y\/y**(-2\/17)*y*y*y*y))**(-17)*(y\/(y\/y**(-2\/19))*y\/(y\/(y\/y**(-1\/8)*y)))\/((y*(y\/((y*y**(2\/3))\/y))\/y)\/y)**(5\/3) assuming y is positive.\nAnswer: y**(-155773\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 42 + 101?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 701137 and 2862.\nAnswer: 37861398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1111110100111111101010 (base 2) to base 11\nAnswer: -2384414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30056 is divided by 233?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 6:21 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 499 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10\/3 in -2, 161, 331, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 38.171212 * -28.\nAnswer: -1068.793936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s + 5*s + 2*s - 6)*(s**2 - s**2 + 2*s**3).\nAnswer: 4*s**4 - 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4805331 divided by -3.\nAnswer: -1601777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*h + 390 = 134 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 5*c. Let x(f) = -32*f**2 + 11*f - 22. Let u(z) = -15*z**2 + 6*z - 12. Let s(j) = -11*u(j) + 6*x(j). What is m(s(r))?\nAnswer: -135*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five quarters of a minute in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 5\/(-2)*((-248)\/(-40) - 5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 - 3)*((-9)\/5 - -1). What is the third derivative of -13*v**4 - 8*v**g - v**5 + 3*v**4 - 4*v**4 - 45*v**2 wrt v?\nAnswer: -60*v**2 - 528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 86 by 1051864.\nAnswer: 43\/525932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -2263\/68 at most -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b = -3*i - 44, -58 = 3*b + 4*i - 38 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -196 - -781. Let t = u + -515. What is the greatest common divisor of 30 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*v + 44*v - 18 + 330 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 730058200?\nAnswer: 2, 5, 17, 214723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 33716 - 12162.66672\nAnswer: 21553.33328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k**5\/3 - 7*k**4\/3 + 13*k**3\/3 - k**2\/3 - 14*k\/3 + 8\/3 = 0. Calculate k.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -387, 4, -5, -1, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by -13\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1553.6 - 2308. Round q to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tkrrcbzk. What is prob of sequence ztr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1, 15, 3, 5, 353 in decreasing order.\nAnswer: 353, 15, 5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 5, e: 7}. What is prob of sequence ekee?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and -588.4.\nAnswer: 2353.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12348, 49275, 110820, 196983?\nAnswer: 307764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12361357 to the nearest integer?\nAnswer: 3516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 4 + -321024063?\nAnswer: -321024057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y + 27 = 5*q, -3 = 2*y + 2*q - 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1257.99995732 + 1258. Round i to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.42 or -1.36?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1197800 is divided by 355.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 101760 divided by 212?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1574?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l = -0*m - m + 5, -4*m + 56 = -l. Let v be (0*1\/1)\/1. Suppose 18 = 3*s + d - 0*d, v = s - 5*d - 22. What is the remainder when m is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rt when two letters picked without replacement from trr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2341291 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**2 - h + 2. Let l(c) = -14*c - 2. Let y be l(-1). Let b = y - 7. Calculate the smallest common multiple of p(b) and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -440 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 754 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 8 = -0*v. Suppose 5*j - 6*j = -4. Suppose -16 = j*n - 12. Which is the nearest to n?  (a) v  (b) -3  (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - y + 6 = 0. Suppose m - y = -4. Which is smaller: 2\/39 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b**3 + 35*b**2 + 19*b + 31. What is the remainder when 1369 is divided by m(18)?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 710215.4 micrograms in tonnes?\nAnswer: 0.0000007102154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 74 a factor of 11992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*n**2\/4 + 295*n\/2 + 37510.\nAnswer: -5*(n - 242)*(n + 124)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 8 = -2*g + 4*y, 2*y - 2 = 0. Let a(v) = -135*v**3 + 6 + 139*v**3 + 3*v - 10 - v**2 + 2*v**2. Let u be a(1). Sort g, u, -1 in decreasing order.\nAnswer: u, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, 4435, -1, -53, 8 in descending order.\nAnswer: 4435, 8, 1, -1, -5, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 62677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2 - 7*y - 16. Give r(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5514272318?\nAnswer: 2, 241, 11440399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -174*o - 2259. Let d be l(-13). Solve 3*z + 4 = -2*p, -2*z = -p + d*p + 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-70)\/(-175) - (-375000004)\/(-10). Round y to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 5*p**2 - 6*p - 3. Suppose 3*x - 24 - 36 = 0. Suppose -w + 1 + 1 = 4*g, -4*w = 2*g + x. Calculate o(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5420 is divided by 67?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 166, 686, 1566, 2818, 4454, 6486, 8926, 11786?\n\"Answer: 2*z**3 + 168*z**2 + 2*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3 - 864*p**2 + 16080*p.\nAnswer: 3*p*(p - 268)*(p - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -113328 - -340034\/3. Determine g so that -484\/3 + k*g**3 + 814\/3*g - 126*g**2 - 2\/3*g**4 = 0.\nAnswer: 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 197 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*m**5 - 3*m**5 - 3*m**5 + (2*m - 2*m + m**2)*(-4*m**3 - 8*m**3 - 2*m**3).\nAnswer: -15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 17\/4 of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -29 + 18. Let g(c) be the third derivative of -3*c**4\/8 + 16*c**3\/3 - 490*c**2. Is 25 a factor of g(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)\/(sqrt(6) + sqrt(54)) + -5*(sqrt(120)\/sqrt(4) - sqrt(30)))\/(sqrt(384) - (sqrt(384) - -1*(-5*sqrt(384) - sqrt(384))) - sqrt(384)).\nAnswer: sqrt(5)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 + -0.8. Let m = -127 - -632\/5. Let g = 68967\/4 - 17242. Which is the second smallest value?  (a) 4  (b) x  (c) g  (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*p - b = -38145, -6*b - 6 = -5*b. Is 27 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21508.\nAnswer: 2, 19, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the third derivative of h**5\/60 + 5*h**4\/12 - 11*h**3\/6 - 2*h**2. Let v be u(-11). Solve 2*c + 3*c - 4*q - 27 = v, -5*c - 4*q = -3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*j - 125*j - 127*j.\nAnswer: -261*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -5, 182112 in descending order.\nAnswer: 182112, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttrtttr. What is prob of sequence rrtt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 105 - 48. Suppose 12*i = 15*i - d. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -2) + 5 + -1 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 11 = -3*a, -3*a + 5*w = 217 - 251 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*u - 61 = -10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 34723 divided by 110\nAnswer: 34723\/110","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, r: 14, o: 1}. Give prob of sequence rr.\nAnswer: 91\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 + y - 764. Calculate the remainder when d(33) is divided by 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1.428857 weeks?\nAnswer: 240.047976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -18*i**3*j**3*n - 50*i**3*j**2*n**2 - i**2*j + 796*i*j**3*n - 2*i*j**2*n**2 wrt i?\nAnswer: -108*j**3*n - 300*j**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.98376254 to 3 decimal places.\nAnswer: 1.984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 107718 and 195.\nAnswer: 538590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/110)\/((-126)\/(-420))*(-2)\/(-3)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13.2 + 1.8. Let r = s - 0. Let w = r + -16.4. Round w to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from paslspla. What is prob of picking 1 s and 1 p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 21*t**2 - 12*t + 15. Let x be g(7). Let b be (-10)\/(-95) - (-5 + (-29121)\/57). Let q = x - b. Is 64 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6445\/968 + 4\/121. Find the common denominator of u and -83\/678.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 611 minutes before 1:37 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/4*((-24)\/10)\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.48762163 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the third derivative of -c**7\/5040 - c**5\/15 + 3*c**2. Let l(o) be the third derivative of f(o). Let m(y) = -y**2. Give m(l(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2007339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -14087*l + 4. Let m(x) = 7065*x - 2. What is -6*g(b) - 11*m(b)?\nAnswer: 6807*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 32*v - 22. Let j(r) = r**2. Let y(h) = -j(h) + k(h). Is y(25) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*(80\/(-1820))\/(50\/105)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12 by 390.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 4530 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-5)\/(-3))\/((-7)\/(-17 + 10)). Which is the second smallest value?  (a) 10  (b) 0.095  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*(-18)\/(-16)*(-28)\/112*48?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**3 + 5*g**2 - 2*g - 1. Let v be (-4 + 0)\/(4\/(-2)). What is the remainder when -2 + 1 + v - -15 is divided by s(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = 11*x - 49. Suppose -u - 3*t + 28 = 0, -2*u + 4*t = x*t - 68. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 488579765 to the nearest integer?\nAnswer: 22104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 111\/238 and -49\/102.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4*1\/(-8))\/((-1)\/(-2848)).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + 19 + 13 - 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0061050275 to four dps.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -600, -3, -0.81.\nAnswer: -600, -3, -0.81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1276 - 889. Suppose c = -9*u + 387. Solve -x = 3*j - 2*x - 6, 4*j - 4*x = u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 261 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -7*b**3 + 8*b - 43. Let k(f) = 13*f**3 - 15*f + 85. Let d = 10782 + -10793. Give d*g(o) - 6*k(o).\nAnswer: -o**3 + 2*o - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*f = -10*f - 55 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1044, 1061, 1074, 1083, 1088, 1089, 1086?\nAnswer: 1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 - 90?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -288*d + 582*d - 10515204. What is d rounded to the nearest 1000?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of v**5\/12 - v**3\/6 - 2*v**2. Let c be r(1). Let j(x) be the second derivative of -x**4\/12 + x**3 - 5*x**2\/2 - x. What is j(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.093015 millennia to years.\nAnswer: 8093.015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, f: 1, v: 3, g: 2, j: 4}. Give prob of sequence jf.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 959 divided by 16?\nAnswer: 959\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:10 AM and 1:32 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*n**3 + 7779*n**2 + 228402*n - 755136 = 0. What is n?\nAnswer: -32, 3, 2622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/376 and -3\/296.\nAnswer: 13912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z + 4*z**2 + 6*z)*(0 + 0 + z) + 10 + 14*z**3 - 1 - 8.\nAnswer: 18*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8936 and 261378?\nAnswer: 1045512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -1) + (6 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -123*c**3*i**2 + 2677*c**3*i - c**2*i**2 + 16099*c*i**2 + i**2 + i - 2 wrt c?\nAnswer: -738*i**2 + 16062*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1879553 is divided by 1465?\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**1*j)**(-4\/9)*(j\/(j*j\/(j*j**0\/j)))**(-12\/11)*j**(-6)*j**6*(j*j\/(j\/(j\/(j\/j**(1\/3)))))**8 assuming j is positive.\nAnswer: j**(1076\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8504, -1, 0.05 in descending order.\nAnswer: 0.05, -1, -8504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 1:27 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -4*t - 16. Let i be 4\/(-6)*(-12)\/2. Suppose b = 5*c + 23 - 57, 5*b + 5*c = 10. Sort b, t, i in descending order.\nAnswer: i, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4203 (base 7) to base 14.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 72, 91, 136, 219, 352, 547, 816?\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/9?  (a) 11  (b) -0.4  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 306 = -19*x + 53*x. Let a be (14\/(-105)*-5)\/((-3)\/x). Let q(i) = 5*i**2 + 3*i. Determine q(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2 and 3542?\nAnswer: -708.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of -2*o**3\/3 - o**2\/2 - 3*o. Is p(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 203 + 304. Let v = -211 + o. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = -d + 88, -28*d - 6*d + 284*x = 286*x - 44 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -178?\nAnswer: 3\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 275 a factor of 5775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 136677 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - 11. Let u = 12 + x. Let q = u + -0.32. Round q to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -2*y**2 + 1978*y - 21606. Calculate t(11).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42 + (-21 - (-83 + 34))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 2. Let o = 2 + u. Let h(d) = -2*d + 16. Let q be h(8). Is q at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 370532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 73\/642 and 2\/3745?\nAnswer: 22470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zwwwwwwwwwwvwwww. Give prob of sequence zww.\nAnswer: 13\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 359047987 to the nearest integer?\nAnswer: 18949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 607188 (base 9) to base 4\nAnswer: 1113302012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 3*o = 7, 0*c + 12 = 2*c + 4*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from vvjkoqkaa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4507587.\nAnswer: 3, 7, 71549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -331 + 270. Sort 0, u, -1 in increasing order.\nAnswer: u, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express j + 4*j**3 + 4*j**3 - 1877*j**2 + 1877*j**2 + 12 in the form w + m*j**2 + v*j**3 + x*j and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2679264 by -756.\nAnswer: -3544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**2 - 13*l - 28. Let y be c(-9). Let p = y + -151. Calculate the greatest common factor of p and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2343.8 at least as big as -160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13*u + 7*u + 3*u)*(-1 + 0 - 1)*(7*u + 6*u + 6*u)*(-4 + 4 - 2) to the form d*u**2 + o + w*u and give d.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p + 12. Let d be i(7). What is the third derivative of 5*v**5 - v**2 + 6*v**d + 0*v**2 - 2*v**2 wrt v?\nAnswer: 660*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*(((d**(6\/7)*d*d)\/d)\/d*d)\/d)*d)\/(d*d\/(d**(7\/4)*d))*(d*d**(1\/4))\/(d\/d**(-6)))**(1\/12) assuming d is positive.\nAnswer: d**(-17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + 6. Let i = t + -8. Let r = 394\/3 - 130. Which is the third biggest value?  (a) -2\/15  (b) r  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35654?\nAnswer: 2, 17827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2784918947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b + 4*w = 4*b + 16, b = 2*w + 20. Let m = 29 - b. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 14*r**3 + 2*r**2 + 2*r - 5. Is y(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -4*h + 82. Let w be x(23). Let a(d) = 57*d**3 - 11*d**2 - 8*d + 20. Let z be a(w). Round z to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 33*u**2 + u - 2. Let k(y) = 131*y**2 + 4*y - 8. Let j(t) = -3*k(t) + 12*l(t). Let q(w) = w**2 + 258. Calculate q(j(o)).\nAnswer: 9*o**4 + 258","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 2, n: 4, o: 3, l: 7, r: 1}. Give prob of picking 2 o, 1 r, and 1 f.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 3*b + 4*b = 0. Suppose b = -h + 2*x + 34, -6*h = -2*h - x - 143. What is the highest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -2*m**3 + m**2 - 4*m - 4. Let f be q(-1). Solve f*s + 15 = 6*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - g + 1. Let k(h) = 9*h**2 - 11*h + 11. Suppose -16 = -3*f - 10. Let c(x) = f*k(x) - 22*d(x). Let s(t) = 11*t**2. Give c(s(b)).\nAnswer: -484*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y**15*y*y**(-2)*y assuming y is positive.\nAnswer: y**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 33*t - 21. Let j be (-640)\/48*(-15)\/4. Let p(d) = 108 - 53 - 8*d - j. Determine -5*o(c) - 21*p(c).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 187007*m - 1591 = 187050*m for m.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve m = -5*t - 4, 0 = 3*t - 4*m - 5 - 11 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -143.3 - 83.7. Put 5, -3, l in increasing order.\nAnswer: l, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*a**3 + 5*a**3 + 2*a - a**2 + 6*a**2 - 2*a**2 as g + f*a**3 + v*a**2 + d*a and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*y = -38*y - 1027 + 253 - 290 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4\/107, 2\/5, -5, -0.02?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4902.\nAnswer: 2, 3, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 11*l - 2. Let w(v) = 16*v - 3. Let c(q) = 5*w(q) - 8*y(q). What is c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -2*o - 4*h, 3*h - 2 = -3*o + 10. Let j(x) = x**2 + x - 1. Determine j(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3 + 0 = 0. Suppose o - 5*q = 5*o - 23, -2*o + 2*q = 2. Suppose 3*r - 5 = 4*r - o*i, 5*i - 25 = 0. Sort r, -2, w.\nAnswer: -2, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -9*d. Let a be 1\/(-5) + (-22)\/(-10) + d. Do a and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*s - 4*s + s**2 + (20 - 4 - 4)*(-2 + 2 - 2*s)*(-28*s + 14*s + 21*s) to o + c*s**2 + d*s and give c.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1\/618 + -2783\/1236. Which is bigger: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(-29))**(1\/30) assuming v is positive.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 33 + 5246?\nAnswer: 5279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t - 10 = 219*d - 220*d, 2*t - d + 6 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 2, a: 1, m: 5, h: 5, p: 2, t: 2}. What is prob of sequence hmha?\nAnswer: 5\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*r*t**3 + 4*r*t**2 - 5885*r*t - 5*r + 10*t**3 + 66*t**2 wrt t.\nAnswer: -12*r*t + 8*r + 60*t + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -221*h + 595783404 - 595783404.\nAnswer: -221*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 5*c + 655 = 0, 4*c + 101 + 149 = -2*y. Is y greater than -131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -109497*z**3 - 4*z**2 - 3*z + 1841801?\nAnswer: -328491*z**2 - 8*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 64117969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 11679 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, 295, 666, 1185, 1852?\nAnswer: 2667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 496232 and -0.04.\nAnswer: 496231.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -42 times -0.05\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 2*j. Let h(k) = 9*k - 2*k - 5*k - 3*k. Calculate h(p(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the second derivative of 3*s + 0*s**2 + 3\/20*s**5 + 0*s**6 + 113\/6*s**3 + 1\/6*s**4 + 1\/21*s**7 + 16. Find the third derivative of u(b) wrt b.\nAnswer: 120*b**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 16406?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -399827\nAnswer: 5\/399827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 134 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 4064821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 5*n**3 - 33*n**2 - 9. Let h(u) = 21*u - 16*u**2 - 4 + 3*u**3 - 21*u. Let d(c) = 9*h(c) - 4*o(c). What is the third derivative of d(a) wrt a?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 76 = 42. Calculate the greatest common factor of 153 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1796*p - 1800*p - q = 0, 0 = 3*p + 5*q - 17 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - n + 2. Let t be g(0). Suppose t*i - 2*v = 34, -5*i - 4*v - 19 = -104. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the second derivative of -w**5\/20 + w**4\/2 + 3*w**3 - w**2 - 6*w + 85. What is y(8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2. Let y(z) = -21*z**2. Calculate 2*k(p) + 2*y(p).\nAnswer: -44*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 40, 76, 112?\n\"Answer: 36*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 42 + -24. Suppose 8*i - 7*i - l = 0. Let z = i - 2. What is the greatest common divisor of 176 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 257.6 + 12?\nAnswer: 269.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 181 + -124 + (27 - 7).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -10225 (base 6) to base 14\nAnswer: -70d","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Suppose -230 = -3*k + 5*z - 14, -k = 5*z - 112. What is the remainder when 212 is divided by k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11.3 + 10. Let z = 0.3 + h. Let p = 9 + -25\/3. What is the second biggest value in z, -5, p?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.046 + 0.178. Let b = y - -0.034. What is b rounded to two decimal places?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*y**4 - y**4 + 0*y**4 + (-y**3 + 2*y**3 + 0*y**3)*(4*y - 2*y + 0*y) + 2*y**4 + 2*y**2 - 2*y**2 + 16*y**4 + y**4 + 8*y**4.\nAnswer: 30*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.2 + 0. Let r be 6 + (-5)\/((-25)\/820). Let c be 55\/25 - 2 - 54\/r. Sort 1, d, c in descending order.\nAnswer: 1, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156268 divided by -3?\nAnswer: -156268\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -201560000 rounded to the nearest one million?\nAnswer: -202000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -6*n**5 - 7*n**4 - 8*n**3 + n**2 + 2*n. Let b(p) = -p**5 + p**4 - p**3 + p**2 + p. Let d(k) = 2*b(k) - h(k). What is z in d(z) = 0?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 90 = 6*h. List the prime factors of (-57)\/(-95) + 114\/h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c - 3897?\nAnswer: -3888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9198 + -9204. Let o(p) = -p**3 - 9*p**2 - 14*p + 6. Calculate o(i).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1136169226*o**3 + 1559879967*o**2 wrt o.\nAnswer: 6817015356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 130.005 centimeters in nanometers?\nAnswer: 1300050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5051, 10102, 15153, 20204?\nAnswer: 25255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*c + 2*c - 22*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -224*d**2*o**2 + 193523*d**2*o + 2*d*o**2 - 2*d*o + 623*o**2 - 5305*o - 2 wrt d.\nAnswer: -448*o**2 + 387046*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4\/9, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 73578012.55 to the nearest one million.\nAnswer: 74000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-105)\/(-6))\/(1\/4). Let k be 2\/14 + 60\/v. Solve -o - 5 = -k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + -4 + sqrt(19) + 1 - 4*(0 + (sqrt(19) + (sqrt(19) - (-1 + sqrt(19))) - sqrt(19))))**2*2.\nAnswer: -40*sqrt(19) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 364, 717, 1060, 1387, 1692, 1969, 2212, 2415?\nAnswer: 2572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -6c (base 15) to base 13\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = h**3 + 4*h**2 - h - 2. Let p be w(-4). Solve 0 = -4*q - 2 - p for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**3 + 2*p**2 + 3*p + 2. Let i be u(-2). Suppose -5*n + 9 = 2*a - 4*n, -3*n = -15. Calculate the remainder when (1*2)\/((-2)\/i) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a - 5*m - 3292000, m + 2021001 = -4*a + 8605001. Let o be a\/(217\/(-35) + 6). What is o rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**2. Let g(o) = -2016*o + 4. Calculate j(g(d)).\nAnswer: 8128512*d**2 - 32256*d + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52*w - 8 = -54*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32771, -65559, -98347?\nAnswer: -131135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/7 + (-2860)\/(-308). Put j, 3, -4, 7 in increasing order.\nAnswer: -4, 3, 7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*f + 87 = -2513. Calculate the greatest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 1610525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*s - 54 - 53 + 159 - 52.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 + 4 - 23) + -5 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 52, 123, 234, 397, 624, 927, 1318?\nAnswer: 1809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ooonoonono. What is prob of sequence on?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/4  (b) 4  (c) -20  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1124870 is divided by 235?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 3:48 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 4 + 10 = 0. Let m = f + 5. Solve 1 = m*c - 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qgqg. Give prob of picking 2 g and 1 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = 5*d - 45. What is the remainder when (-4)\/(-6) - 54156\/(-36) is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*s + 3*s + 2 - 4*s + 2.\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2*f = -0*z + 68, -z + 3*f + 24 = 0. Solve -91*q = -87*q + z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 12 from -2805.5.\nAnswer: -2817.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 - 2\/(-6))\/((-19)\/57). Which is smaller: 108\/59 or w?\nAnswer: 108\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0013488 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, t: 4, x: 5}. Give prob of sequence tbb.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2404*n**2 - 310*n + 5. Let b(v) = 1203*v**2 - 156*v + 2. Let g(h) = 5*b(h) - 2*q(h). Find the second derivative of g(j) wrt j.\nAnswer: 2414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2444401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 25 - 153976?\nAnswer: -153951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v**(6\/11)\/v)*v*v**(1\/5))\/(((v*v*v*v**(1\/2)\/v*v*v)\/v)\/v)**13*(v**8\/(v*v**(-8)))**(-39) assuming v is positive.\nAnswer: v**(-67633\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3697 + 1304. What are the prime factors of r?\nAnswer: 3, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a*a**(-3))\/(a\/(a\/(((a\/(a\/a**(-2\/15)*a))\/a)\/a)))*(a*a**1)\/a*(a*a\/(a*a**(-1))*a)\/a assuming a is positive.\nAnswer: a**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.864 + 0.136. Let l = 129 - 105. Which is the nearest to 1?  (a) i  (b) 4  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -451 - ((-5)\/1 - (2 - 7)). Let o = n + 517. Solve -62*b + o*b = 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 28 = -4*a, a + 3*a - 20 = 0. Let d(j) be the first derivative of j**2\/2 + 16611. Give d(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5*(sqrt(2) - (1 + sqrt(72) + sqrt(2))) - ((3 + sqrt(6)\/sqrt(3))**2 + sqrt(24)\/(sqrt(48) - sqrt(12)))).\nAnswer: -46*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-11)\/((w*w*(w**3\/w)\/w)\/w)*w*w**(-12)\/w*(((w*w*(w*w\/(((w\/(w*w\/w**(-3\/2)*w))\/w*w)\/w)*w*w)\/w)\/w)\/w)\/w assuming w is positive.\nAnswer: w**(-37\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18.69 + 23.9. What is t rounded to one dp?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/(45\/(-10)) - -5. Suppose f + 5*v = -2*f - 19, 5*v + 33 = 4*f. Solve -b*t - 4 = -f*s - 5, s - 2 = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-2)*14\/210*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y = 10*y - 183. What are the prime factors of y?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8425353 is divided by 152.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/72 and -37\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -3*h**3 + 24*h**2 + 17*h - 105. Let z be w(8). What is the greatest common factor of z and 1116?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5916, -5461, -4708, -3657, -2308, -661, 1284?\nAnswer: 3527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 422.9 + -364. Is y <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2 + 5*v. Let j be h(-5). Let q(p) = -4*p**3 - 32 + 55 + 3*p**3. What is the tens digit of q(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((10\/(-15))\/((-200)\/(-12))). Solve -5*p - 20 = 5, -c = y + 5*p for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -33 - 36?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + v = -24. Suppose 17 = -3*i - 25. Let q = -5 - i. Which is smaller: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 (base 16) in base 14?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -7 + 0*n**2 + 0 - 1 + n**2 - n + 9. Let u(v) = -955*v**2 + 764*v - 764. Let h(j) = u(j) + 764*x(j). Let k(g) = g**2. Calculate h(k(t)).\nAnswer: -191*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3456 in 23, 10, 1\/2, -4?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/(k**2*k))\/(k*k**(-4)*k))\/(k\/(k**(-6)\/k*k))**43 assuming k is positive.\nAnswer: k**(-301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1*((-2)\/8 + 27\/(-4)). Suppose -h*f - f = -99568. Suppose -3*n = -17*n + f. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate l**2*o*w**2 - 27*l**2*o - l**2*w**2 - 20*l**2*w + 1 with respect to o.\nAnswer: l**2*w**2 - 27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - k + 0)*(-k**3 + 4*k**3 - 4*k**3) + (-k**4 + k**4 + 3*k**4)*(22 + 18 - 46) to the form u*k**4 + g*k**2 + c*k**3 + x*k + w and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.127 times -472.71\nAnswer: -60.03417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 56*z - 9 + 5 - 1.\nAnswer: 56*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1950979 and 7.\nAnswer: -13656853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x - 5. Let s be d(7). Let k be 7 - ((4 - 2) + s). Suppose -k*z = -z. Which is smaller: -1\/28 or z?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5869150 divided by -10225\nAnswer: -574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 2*i**3 - 5438*i**2 + 5436*i = 0.\nAnswer: 0, 1, 2718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add 2537416929141 and 0.5.\nAnswer: 2537416929141.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*s**3 + 216*s**2 + 220*s.\nAnswer: -4*s*(s - 55)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142777 is divided by 1312?\nAnswer: 1081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 4 = -0*k. Let y be (1\/7)\/(2\/k). Let p = 4.9 + -1.9. Which is the smallest value?  (a) p  (b) y  (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 319948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - 9)*18\/30*-1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1455693 to the nearest integer?\nAnswer: 1207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-40)\/100*70 - -21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -93*a + 3. Let u(v) = 6696*v - 217. Let m(l) = 434*c(l) + 6*u(l). Let r(o) be the first derivative of -o**2\/2 - 741. Calculate r(m(y)).\nAnswer: 186*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o**5\/7 + 129*o**4\/7 - 255*o**3\/7 - 8109*o**2\/7 - 7722*o\/7 = 0. What is o?\nAnswer: -6, -1, 0, 11, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2916 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: Solve -4 = -t - 2*u, 4 = 4*u - 0*u for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -m**2 + 8 - 33*m + 81*m - 101 - 45*m.\nAnswer: -m**2 + 3*m - 93","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 113872 or 113825?\nAnswer: 113872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3*i + 12 = i, 0 = -v + 4*i + 15. Solve v*c - c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5\/873 - 131798\/4365. Let v = -30 - y. Factor -1\/5*l + 1\/5 + 1\/5*l**3 - v*l**2.\nAnswer: (l - 1)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 167652.\nAnswer: 2, 3, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k. Let y(u) = -6 + 6 + 7*u**3 - u. Let i be y(1). Let m(l) = -2*l**2 + 5*l - 2. Give i*r(b) + m(b).\nAnswer: -2*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out 531.406751 + -0.3.\nAnswer: 531.106751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of f*r**3 - 11465*f*r**2*z - 112*r**3*z - 47*r*z - z wrt f?\nAnswer: r**3 - 11465*r**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-4*sqrt(42))\/(-5*sqrt(6)*1).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3345412*n**2 + 3683979*n.\nAnswer: -6690824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 29, 112, 245, 422, 637, 884?\n\"Answer: -d**3 + 31*d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 2\/41, -4, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, -238, -0.3 in decreasing order.\nAnswer: 2\/3, -0.3, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 7*w**3 - 3*w**2 + 4. Let g be ((-10)\/35)\/(-1*(-2)\/(-42)). Let t(s) = 8*s**3 - 3*s**2 + 5. Give g*t(o) - 7*h(o).\nAnswer: -o**3 + 3*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*c + 35*c = 75*c - 12 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*l + 5*l = -1150. Calculate the highest common factor of l and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -157 = 24*g + 11. Suppose 0 = -0*z + z + 5. Is z >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3543, -1890, 859, 4698, 9621, 15622, 22695?\n\"Answer: -n**3 + 554*n**2 - 2*n - 4094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 512867 is divided by 102554.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -44021\/1360584 - 1\/18897. Let w = k - 107\/135. What is the common denominator of w and -51\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 642723 (base 8) in base 3?\nAnswer: 101220012211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23 + -15. Suppose g = d + d. What is d rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 517555577 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 210942 is divided by 3094.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 37279, 37276, 37273, 37270?\nAnswer: 37267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/160)\/(1\/((-35)\/2))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + (-82 - -11) + -16 + (13 - -15).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -167 - -170. Put a, 5, -4, 4 in descending order.\nAnswer: 5, 4, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.3068 + -0.3069761. Round t to five decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -6 - (30 - 40)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 43201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-255)\/(-459))\/(10\/48))\/((-4)\/(-18)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -4*b + 43. 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 -4 + -1 - (-7 + 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 + -6. Let c(t) = t - 13. Let s be c(17). Put w, s, 2 in descending order.\nAnswer: s, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14792 + -14787. Calculate the greatest common divisor of n and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 9 - (0 - -3)\/(-3). Suppose -2*r = -2*l, 0 = r - 3*l + p - 0. Suppose -2*m + 3*d = 2*m - 48, r*d - 12 = -m. Solve 3*s = -0*s + m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -105*p + 52. What is the tens digit of q(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f - f - f)*(-13*f + 13*f + 3*f**2)*(-780*f**2 + 611*f**2 - 1710*f**2).\nAnswer: 5637*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 PM and 9:33 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 + 7*v + 1. Let j be p(-7). Let k(d) = 2*d - j - 4*d - 5*d. What is k(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 58372\/3 - 3209863\/165. Let d = r - 19\/5. Let n = -1.3 - -6.3. What is the nearest to 1 in d, n, 10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6260700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 minus -40821?\nAnswer: 40821.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 5*r - 180, -r - 64 - 3 = -2*v. List the prime factors of v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.942288 micrograms to tonnes.\nAnswer: 0.000000000004942288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**0)**(-18\/7))**(1\/14)\/((w**(2\/7)*w)**(-30))**21 assuming w is positive.\nAnswer: w**810","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -3*f. Let d(w) = w**2 - 2*w. Let q(l) = -3*d(l) + 2*r(l). Let z(y) be the first derivative of -2*y**3\/3 + 13. Determine q(z(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 166 + -143. Calculate the greatest common factor of u and 667.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 2)*(-2*d + 0*d + d) + 882*d - 945*d + 956*d.\nAnswer: 891*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 minutes before 8:51 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 253036496.\nAnswer: 2, 15814781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 59353 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 554 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: How many kilograms are there in 0.9869309mg?\nAnswer: 0.0000009869309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-3 - 6) - -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 621443?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -9*b - 21. What is the smallest common multiple of l(-5) and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y + 5*y - 2*y + (y + 3*y - 2*y)*(1 - 1 - 2) - y + 2 - 2.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 878 rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 56561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44.8 + 47.8. Sort -4, 0.06, o in ascending order.\nAnswer: -4, 0.06, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 3:41 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 44 = 4*x, -9*x + 40 = -2*z - 4. Solve x = 3*j - 3, -15 = -3*y - 2*j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -60, -75, -46, 39, 192?\n\"Answer: 2*z**3 + 10*z**2 - 59*z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 49982169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*b - 3472*b**2 + 68*b**3 + 3472*b**2.\nAnswer: 68*b**3 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 + -3. Suppose 5 - 1 = -2*f, -u*f - 559 = -3*t. Let g = t - 114. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 293 - 330 - (-21 - (4 + -7)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - -7. What is the common denominator of 16\/11 and z\/(-33) + (-118)\/(-66)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -348*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -41 in 6, -3\/7, -25, -14, 0.4?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -62684 - -90572. Is n a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyyxjtayxmxxx. Give prob of picking 1 x and 1 j.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 1079 + 15628 = -8368. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29\/12 - 13\/6. What is the closest to x in -0.03, -0.4, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.03, -0.04, 14\/5, 0, -2\/9?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/((a*a*a**(2\/3))\/a))\/a)**(-46)\/((a\/(a*a\/(a\/a**2)))\/a**(3\/2)))\/((a**(-5)*a*(a**4*a)\/a)\/(a**(-5\/6)\/a**7)) assuming a is positive.\nAnswer: a**(217\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2910 and 1.8.\nAnswer: -5238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 12*q = 15*q + 27, -3*h = -3*q + 3 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*4*sqrt(66)*-1)\/(-5*(sqrt(600) + 1*sqrt(600))))**2*2.\nAnswer: 22\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33 - -53) + -6 - (-11 - 0).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -6. Let d = -12.83735 - -8.83734. Let w = d + n. Round w to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 8*x - 15. Let a be x + (2 - -4) + -2. Let u(d) = -d + 15. Determine u(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*w**2 + w - 2*w**2 + w + 2 + (193*w + 93*w - 512*w)*(-7 + w + 7).\nAnswer: -225*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 2 - (8 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 118 = -3*h - 0*p, 4*p = 8. Let n = -26 + h. Let l(t) = t**3 - 34*t**2 - 36*t + 47. Calculate the lowest common multiple of n and l(35).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = a - 1. Let m(d) = 578*d**2 + 238. Let f(j) = 29*j**2 + 12. Let c(b) = 119*f(b) - 6*m(b). What is n(c(i))?\nAnswer: -17*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 108686 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 58325*o - 758367. Determine r(13).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that -2*b**4\/7 + 88*b**3\/7 - 388*b**2\/7 - 88*b\/7 + 390\/7 = 0.\nAnswer: -1, 1, 5, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25 + 14 + 8 - 56*o - 52*o to z*o + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*o - 4135 = 9*o. Let z(a) = 418*a + 432*a - o*a. Let n(f) = -14*f**2. Give z(n(v)).\nAnswer: -322*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -12880, -25755, -38630, -51505?\n\"Answer: -12875*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(385)\/(-3*sqrt(7)) + (sqrt(660)*-1)\/sqrt(12))\/((sqrt(33)\/sqrt(3) + sqrt(11))*1 + sqrt(11) + sqrt(11) - (sqrt(11) - sqrt(891)*3)))**2.\nAnswer: 4\/405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 less than -68\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -371 or -46346\/125?\nAnswer: -46346\/125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 811439 is divided by 880?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16.88 - 0.88. What is the fourth smallest value in -0.04, -1\/2, -2\/21, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-440)\/110110)\/((-12)\/66).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 8, m: 3, p: 6}. Give prob of picking 1 p and 1 m.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -9*q - 6. Let y be i(-5). Suppose -4*r + 34 = -j, 0*j + r + y = -j. What is the common denominator of j and (-29)\/20 + 3\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iq when two letters picked without replacement from iwwinwdawiwiqi.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4937\/4 - -4943\/4. Factor 0*p + 0 + 0*p**2 - m*p**4 + 0*p**3.\nAnswer: -3*p**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21923 = 97*d + 3978. Calculate the highest common divisor of 40 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*y + 7*y - 2*y + (0 + 0 - 1)*(-17*y + 6*y - 7*y))*(128*y**3 - 22*y**3 - 5*y**3).\nAnswer: 1919*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(396)*-2 - sqrt(396)) + sqrt(396))**2 + 5 - (sqrt(88) + 2*sqrt(88)*6)\/(sqrt(8) + 2*sqrt(72)).\nAnswer: -13*sqrt(11)\/7 + 1594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a**3 - a - 1. Let h(b) = -6*b**3 - 5*b + 47. Calculate h(n) - 5*t(n).\nAnswer: -n**3 + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1206533295 to the nearest integer?\nAnswer: 34735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (19\/38)\/(28\/32)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4152079567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, 48, 107, 190, 297, 428?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 7*q**2 - 24*q + 104. Let f be y(3). What is the nearest to 1\/2 in f, 0, -784?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 305258950 to the nearest integer?\nAnswer: 673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-39))\/(w\/(w\/(w\/w**(25\/4)*w)))*(w*(w**(-2\/39)\/w)\/w*w)\/w**(-13) assuming w is positive.\nAnswer: w**(8923\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 6*u = -6. Let g be ((-9)\/u)\/(2\/8). Let i = g - 11. Is -1 greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**7\/r)**(-35))**(-3) assuming r is positive.\nAnswer: r**630","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 93 a factor of 23423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 5307\/(-8613) - (-6)\/(-54)\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -l**2 + 5*l + 7*l - 1 + 2*l - 7*l. Let k = 10 + -6. What is the units digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (18\/10)\/(942\/(-960) + 1) and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -2*r**2 - 24*r - 6. Let i be f(-12). Does 17 divide (21\/i - -4)\/(3\/918)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -9, 42 in ascending order.\nAnswer: -9, 4, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1a04 - 5?\nAnswer: 19bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -970*s = -679*s + 895*s + 37952 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - 10279*b + 0 + 2406*b to g + s*b and give s.\nAnswer: -7873","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**2 + 5*d + 5. Let g be j(-4). Let u(p) = -p**3 - 7*p**2 - 8*p - 8. Let t be u(-6). Suppose 5 = -3*w - t. Sort g, w, -4 in increasing order.\nAnswer: -4, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -25096.026 to the nearest ten.\nAnswer: -25100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from blgggll. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 236*y**5 - 100*y**3 + 20797*y**2 wrt y.\nAnswer: 14160*y**2 - 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwllbl.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6483834\/135 + -12 - (-6)\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3312179188 and -0.1237?\nAnswer: 3312179188.1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40*o = -110*o + 922 + 16088. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 8*c + 18. Let y(v) = -v - 1. Let o(f) = h(f) + 6*y(f). What is o(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 28 = -3*s + 4*s, s - 4*c = -12. Let i = s + -8. Solve 9 = 2*b - v, b + 3*v - v - 7 = i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 123117 - 986145\/8. Is -151 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 22 - 55. Let f be 1 + 120 + -1 + 2. Let p = c + f. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9.2 - -53.2. Let y = -43443676.999954 + 43443721. Let k = y - a. Round k to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-6))\/((-32)\/160)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.4 - 0.3. Let s be (9 + -19 + 12)*(-2)\/(-4). Let b = 15.3 - 1.3. Put b, o, s in decreasing order.\nAnswer: b, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 371316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 100\/(-250) + (-21)\/10?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7289 and 44153216?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -n**3 - n**2 + 46*n + 132. Let t be u(-3). Solve -t*m + 8*m = -5*g - 14, -1 = 2*g + 3*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 91765559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1344081.\nAnswer: 3, 448027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1104499763 to the power of 1\/2, to the nearest integer?\nAnswer: 33234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x + 6*x - 3*x)*(-6 + 5 + 0) + 0*x + 59*x + 14*x.\nAnswer: 71*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 14\/3, -2\/15, -1, -0.09?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 309423194 at least as big as 309423193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*c*d*l + 111941*c*d - 2*c*l - 3*c - 5255*d*l + 66*d - 4*l + 1 wrt c.\nAnswer: 2*d*l + 111941*d - 2*l - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-2)\/5*(-410)\/(-24) and 288637\/(-6438) + 24 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108 = 4*d + 6*y, -25*y - 20*y + 2 = -5*d - 44*y + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -182 by -16799.\nAnswer: 182\/16799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 130.26 - 130.36178. What is w rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f - 3. Let v be h(3). Let p be v + 6\/(-3) + 6. Is 266\/6*(p + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -o - 4. Let a be (-2)\/24*-50 - (-1)\/(-6). Suppose 0 = 2*f + 10 - a. Is f bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-14)\/8)\/((-6)\/(-24))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -6*c + 3*c - 4*c + 8*c. Let z be 144\/63 + (-2)\/7. Let a(x) = -3 + 2 - x**z + 1. What is j(a(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 202 + -202.2. Is -3 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*q**4 - q**4 + 2*q**4 + (5*q**4 + 0*q**4 - 3*q**4)*(0 - 2 + 0) in the form k + i*q**3 + t*q**2 + w*q**4 + f*q and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*h - 24*h + 58*h + 40*h**2 - 25*h**2 - 6*h.\nAnswer: 15*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 10*b + 1. Suppose -2*c = -6 - 2. Suppose -3*h = 2*h - 10, -5*k - c*h = -13. What is the tens digit of m(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (5076\/(-2256))\/((-5)\/(150\/27))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*j**2 + 3*j - 3*j + (0*j + 2*j - j)*(-9158 - 294*j + 9158) as w*j**2 + t + s*j and give w.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -5*j + 22, 0 = -k + 6*k - 3*j + 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1008 + -940. What is the greatest common divisor of 2788 and h?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1217*m**2 + 1225*m**2 - 2444*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of d**3*s**3*w**3 + 430*d**3*s*w**3 + 7*d**3*w + 80*d*s*w**2 - s**3*w**2 + s**2*w**2 wrt w.\nAnswer: 6*d**3*s**3 + 2580*d**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**2 - 41*v + 92. Let l = 538 - 581. Let x be g(l). Solve 3*t + 3 = -4*p, -x*p = -2*p - 5*t - 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 1:44 PM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 9 = 5*l, -5*l - 47 + 62 = -5*o for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.08714 and 0.06034.\nAnswer: 0.14748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1475368472 to the nearest integer?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3.488373 months?\nAnswer: 0.29069775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -214 = -4*z + 3338. Suppose -v + z = v. Suppose 5*k - v = k. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2347, 4, 744, 3 in increasing order.\nAnswer: -2347, 3, 4, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11 + 152*s**3 + 2*s + 40 - 7*s**2 + 4*s**2 - 154*s**3 to the form l*s**2 + p + x*s**3 + i*s and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-2\/19))\/(h*h**(-2\/5))*((h*h**15)\/h)**(-2\/49))**(1\/33) assuming h is positive.\nAnswer: h**(-166\/51205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q**3 - 12*q**2 + 16*q + 48 = 0. What is q?\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one tenth of a millimeter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -5*(-1 + sqrt(175) + sqrt(175)))**2 + -4 + (sqrt(63)\/(sqrt(9)*-4) + -5)**2.\nAnswer: -995*sqrt(7)\/2 + 280743\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 271416 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**2 + 15*b - 5. Let q(s) = -2*s**2 + 8*s - 2. Let g(c) = -5*q(c) + 3*r(c). Does 17 divide g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**0\/r)\/((r*r**(1\/7)*r*r)\/r)*(r*r\/(r*r**(-2\/3)))**17)**(-38))**23 assuming r is positive.\nAnswer: r**(-462346\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**4 + 5*c**4 - c**4)*(-18 + 18 + 18*c).\nAnswer: 90*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 * 0.082\nAnswer: -0.0328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2. Let o(t) = -8*t - t**2 + 8*t - 6*t**2. Determine o(z(r)).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -h**4 + 4*h**4 - 2*h**4 + (-4*h**2 + 4*h**2 - 2*h**2)*(h - h + h**2) to o*h + m + f*h**4 + w*h**3 + v*h**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of 36558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -133 + -1ba04?\nAnswer: -1bb37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 3*t - 4*t - t + t. Let p(h) = -20*h**2 - 4*h - 4. Let c(j) = -19*j**2 - 5*j - 5. Let m(v) = -4*c(v) + 5*p(v). Determine m(n(o)).\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 4420.4 to the nearest 100.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1005 is divided by 210.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 411335086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 124 and 22382.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -25*q**2 + 2400*q + 108. What is b(96)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*r + 12*r + 20. Let y be 84\/(-135) + r\/10. Let k = 98\/15 + -36\/5. Which is the nearest to y?  (a) 0.3  (b) k  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -7*s + 8. Let h(o) = -24*o + 35. Let w(r) = 16*r - 23. Let a(i) = -5*h(i) - 8*w(i). Let y(l) = 6*a(l) - 7*v(l). Calculate y(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 2*y + 104. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 29 - 20. Let j(b) = 3*b + 6. Is 9 a factor of j(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5561 + 1804.53.\nAnswer: -3756.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75 (base 11) to base 16.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -14 - -14. Suppose 3*h - 5*j - 48 = 0, -h + 2*j = -n*h - 16. Suppose 0 = 2*z - 0*z - h. What is the remainder when z is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 6 = -3*d. Put 3\/7, -1\/8, 0, d in increasing order.\nAnswer: -1\/8, 0, 3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*b**3 + 0*b**3 - 6*b - 4*b.\nAnswer: 6*b**3 - 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 165*296\nAnswer: 48840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/14)\/((-72)\/315).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 102812*z**4 - 122356 wrt z?\nAnswer: 411248*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -642639, -1285316, -1927991, -2570664?\nAnswer: -3213335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 2 + (-2*sqrt(2268) + 0 - sqrt(2268))**2.\nAnswer: 20418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -86 + 85.9. Which is the nearest to 0?  (a) 0.5  (b) 0.2  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(1700) + 1))**2.\nAnswer: 80*sqrt(17) + 6804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2092408 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i - 9. Calculate the remainder when -4*(-1 + 23\/(-4)) is divided by a(19).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1b7 + 3a45a2?\nAnswer: 3a43c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1029*r**3*x**2 + 18*r**3*x + 81*r**3 - 598 wrt x.\nAnswer: -2058*r**3*x + 18*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 - 1645*u - 1. Let f(b) be the first derivative of b**2 - 313. Determine g(f(l)).\nAnswer: 4*l**2 - 3290*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 2*4\/(-80)*-2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 - 2 + 1)*(0*m - m + 3*m) + 6 - 18 - 2*m - 8 as u + o*m and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 3, -4*i - 3*c + 11 = -8. Let v(k) = k**2 - 6*k - 5. Let q be v(i). Suppose 0 = -5*y - 3*a + q*a + 47, -y + 1 = -4*a. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 181427 and 419.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s + 29*s - 401 = -25*s + 774 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -18*f**2 - f. Let b be d(1). Is b > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 j and 1 m when three letters picked without replacement from mmjjjj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 d when three letters picked without replacement from {s: 1, c: 5, e: 1, d: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 20258000 rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 3. Let v = 1656.6 - 1653. What is the second smallest value in 0.1, v, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 459 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6395.85 kilometers to meters.\nAnswer: 6395850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of 13*p**5\/10 - p**4\/12 - 1792*p**2 - 2538*p. What is the derivative of l(c) wrt c?\nAnswer: 78*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-3)\/(3 + -1 - 1). Let s be 0\/((-1)\/1) + (17 - 19). Put s, n, 2 in ascending order.\nAnswer: n, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -5*w + 0*w**2 - w**2 - 5*w**2 + 7*w**2. Suppose -5*q + 42 = 17. Suppose -2*k - 1 = -7. Let m(r) = -r**2 + 3*r. Determine k*f(l) + q*m(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 - 19*j**2 + 237*j - 3776. What is t(18)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 + s + 263. Let a be u(0). What is the second derivative of -5*w**4 + a - 263 - 15*w wrt w?\nAnswer: -60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*q - 288 - 366 = -114 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12\/121?  (a) -5  (b) -0.1  (c) -2  (d) -4\/3  (e) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-o - o + o)*((-101 + 24 - 81)*(0 + 0 + 1) - 3 + 0 - 1) to the form u*o + v and give u.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 2*x = 86, 128 = 6*m - 2*m - 4*x. Let f = 51 - 42. What is the units digit of (-5)\/(m\/f)*-42?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**2 - 38*a - 66. What is c(-36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 67989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -25346 + -110?\nAnswer: -25456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/(sqrt(12) - (sqrt(1452) + sqrt(12) - sqrt(12)))*1.\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -74*v + 60. Let n(d) = -72*d + 59. Let w(f) = 4*n(f) - 3*q(f). What is the hundreds digit of w(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3 - 27*m**2 - 754*m - 2520.\nAnswer: (m - 45)*(m + 4)*(m + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 112687\/13660 - -2\/3415. Calculate the common denominator of ((-726)\/(-75))\/((-8)\/(-10)) and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 7, 35, -3459, -11, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-6)*(-15 - -12). Sort x, 1, 5.\nAnswer: 1, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23643?\nAnswer: 3, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Are -43\/126 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {w: 1, z: 4, c: 2, b: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m + 3. What is r(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.05 - -1. Let s = 2.05 + n. Let j = 2 + -6. Put 3\/4, j, s in descending order.\nAnswer: s, 3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -4, 341 in decreasing order.\nAnswer: 341, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -7*r + 4*r - 358, -a - 5*r = -78. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of -7\/5*a**5 + a + 13\/3*a**3 + 1\/4*a**4 + 0*a**2 - 56. What is the third derivative of i(w) wrt w?\nAnswer: -168*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 256 by 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2296, 2388, 2684, 3286, 4296, 5816?\n\"Answer: 17*x**3 - 27*x + 2306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*p**3 - 3*p**3 + 0*p**3 + 74*p**3 + 89*p**3 - 99*p**3 + (3*p**2 + p**2 - 6*p**2)*(2*p - 2*p + 2*p).\nAnswer: 61*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8372, -16746, -25120, -33494?\nAnswer: -41868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -32.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -397 + 1354 = 11*p. Suppose p*o = 83*o - 16. Which is smaller: o or -26\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*6*(sqrt(98) - (sqrt(98) - (sqrt(98) - sqrt(98)*-4))) + -6*(sqrt(98) + -1*sqrt(98))*-4 + -3)**2*-6.\nAnswer: -4762854 - 22680*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - f = f + 6, -2 = -a + 3*f. Let j = 7 - 3. Suppose -2*m = -4*h - 16, -a*h + j = -4*m - 6*h. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -6*w + 2*w + 7 - 4*w + 3 + w**2. Let f be (2 + 3 + -4)*7. Let i be l(f). Solve 8 = -2*p - 2*y, 0*y = p + i*y + 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2 + 12179888*w + 9271854480784.\nAnswer: 4*(w + 1522486)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the first derivative of 3*r**7\/140 + 7*r**5\/60 + 11*r**3 - 13. Let p(w) be the third derivative of k(w). Find the second derivative of p(y) wrt y.\nAnswer: 108*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -10 - 9 - (5 - 14) - -18?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*f**2 - 6320*f - 12660.\nAnswer: 5*(f - 1266)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -13*h + 44. Let g be a(3). Let c be 2 - (2*2)\/(-2). Suppose -3*b - g*m = -42, 2*b + c*m = 6*m + 12. What is the smallest common multiple of 10 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2325?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/3 - (-2 + 0 - 1). Let -7*d**2 - d**c - 40*d**3 - 4*d + 36*d**3 = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -21*b - 5. Let g(y) = -7*y - 2. What is -8*g(o) + 3*u(o)?\nAnswer: -7*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - 1. Let m = 2\/101 - -85\/808. Sort k, m, -3\/4 in decreasing order.\nAnswer: m, -3\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 21202212201221 - -11?\nAnswer: 21202212202002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5.5 + 6. Let o = k + -3.5. Which is the biggest value?  (a) 26  (b) 1  (c) o  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**0*u)**(-3\/10)\/((u*u**(-7))\/u**(-5)))\/((u**(-1\/3))**(-30))**(-26) assuming u is positive.\nAnswer: u**(2607\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a**2 - 165*a - 1063550 = 0. What is a?\nAnswer: -445, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7532103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: ((-78)\/(-4))\/(225\/(-250)*(-15)\/(-18))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12183523 is divided by 2489?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 128 and 308?\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in g + 25 - 25 + 4*g.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 0, -0.03, 0.05, -8, 3\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -d + 2 - 2. Suppose d = -2*u + n + 81, -2*u = 2*u + n - 147. Calculate the remainder when 149 is divided by u.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g - 7. Let k = -7 - -12. Suppose 3*u - x - 19 = 0, -2*u + 33 = k*x - 8. Calculate z(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 217458653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of 0*u**3 + 0 - 25*u - 7\/30*u**5 - u**2 - 1\/6*u**4. Factor y(o).\nAnswer: -2*o*(7*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*k - 89163 - 4387. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -10\/19 or -20835?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**3 - 2484*q**2 - 4956*q - 2476.\nAnswer: -4*(q + 1)**2*(q + 619)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-510)\/(-204))\/(4\/(-104)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 23*y - 1. Let i(s) = -2*s. Calculate i(w(z)).\nAnswer: -46*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*q**2 + 21*q**3 - q - 19*q**3 + 0*q**2 - 3*q**2 - 7*q**4 in the form h*q**4 + t*q**3 + k*q + w*q**2 + n and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 37 in 1\/5, -3, -4\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3*h = -h - 11, -2*q = -4*h + 14. Let j(y) = 2*y**3 + 4*y**2 + 2*y - 2. Let u be j(-2). Which is greater: u or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1061 - 2.3249\nAnswer: 1058.6751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, r: 7, d: 5, a: 3}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 9:18 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 923861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -343, 408, 1653, 3386, 5601?\nAnswer: 8292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 374480.3 meters to millimeters.\nAnswer: 374480300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 849 is divided by 419?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 63846 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 858.427 centuries in decades?\nAnswer: 8584.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - 10a57d?\nAnswer: -10a57b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -7 + 38\/5 + ((-3768)\/(-20))\/6. Sort 1, -22, 5, n in descending order.\nAnswer: n, 5, 1, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 228228 and 234754?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the second derivative of -l**6\/150 + 2*l**5\/25 - 19*l**4\/60 + 2*l**3\/5 - 20*l - 3. Suppose t(j) = 0. What is j?\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 - 1. Let q be y(0). Let p be (-3)\/q*3\/3. Let f(t) be the third derivative of t**6\/120 - t**5\/20 - t**4\/24 + 2*t**3\/3 + 2*t**2. Determine f(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eks when three letters picked without replacement from eeseskeekss.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 287, 333, 453, 683, 1059, 1617?\n\"Answer: 6*m**3 + m**2 + m + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*t**3 + 26*t - 13*t**3 - 8*t**5 + 27*t**5 wrt t?\nAnswer: 380*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 30590 = -18*j. What is the thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1021 - -5?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -50, -2724, -0.5, 5, 2\/5?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Add 371.4 and 175.\nAnswer: 546.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from {d: 2, p: 1, s: 1, e: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 658682 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -22 + 19 - 9*w - 35 - 21. Determine n(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18542 + -4132.1671\nAnswer: 14409.8329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*n*p**2*r**3 - 4*n*p**2 - n*p*r + 26*n*r**2 - 2*n*r + 7336*n - 2*p*r**2 - 4*r**2 wrt r?\nAnswer: 24*n*p**2*r + 52*n - 4*p - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 0, 0.138, -13\/4.\nAnswer: -13\/4, 0, 0.138, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 36 - 22. Suppose -3 = d, 5*h = 2*h - 5*d - 771. Find the common denominator of -20\/3 and 1458\/h*x\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 19*q + 3. Let j(i) = 19*i + 2. Let u be (79\/13)\/(0 - 1) + 1\/13. Give u*j(s) + 5*w(s).\nAnswer: -19*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 2*h - 498 = 0, -4*t + 13*h = 10*h - 2007. Suppose -123*q + 121*q + t = 0. Calculate the highest common divisor of 24 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - 3 - -2*(-1495)\/(-286)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.453 - -0.383. Which is the second biggest value?  (a) h  (b) 5  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1065 + -110332\nAnswer: -109267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of t**3\/3 + 3*t**2\/2 - 13*t + 5. Let c be j(-6). Suppose -2657 = -c*o + 1378. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 1, s: 2, f: 1, c: 2, y: 2}. What is prob of sequence sys?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 89746507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -84.55 - -82. Let f = g - 0.45. Which is the second biggest value?  (a) f  (b) -1\/3  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155*t + 73*t = -239*t + 26152. What is the highest common divisor of t and 4634?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**3 - 8*s**2 + 8*s + 7. Determine y(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5598.0307*-0.9.\nAnswer: 5038.22763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -32316 + -6.\nAnswer: -32322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 14435845 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1165\/826 or -1?\nAnswer: -1165\/826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -4\/7, -0.1, 2\/5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2196494 is divided by 414.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/42)\/(-4*((-57)\/9)\/19)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19318*k**2 - 285*k**2 - 154019*k**2 - 146776*k**2 + 29506*k**2.\nAnswer: -290892*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q - 16 = 0, 2*n + 55*q - 5 = 50*q - 19 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -346 (base 16) to base 4.\nAnswer: -31012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*g + 55*g - 10 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 5*a**5\/6 + 1060*a**4\/3 - 5*a**3\/6 - 1060*a**2\/3 = 0?\nAnswer: -424, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1201 - -414021403?\nAnswer: 414020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 - 0. Suppose -3*n - 2*n = -120. Let h be (-4)\/(-6)*(n - 18). Solve 0 = -5*r + i + h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 AM and 10:49 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/5)*d*d)**(4\/9)*d**(-2\/77)\/d*d*d**(-2\/25)\/d*d)**(-18) assuming d is positive.\nAnswer: d**(-24048\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2.746 + 235.346. Let w = k - 266. What is w rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -173314*q**2 - 173310*q + 4.\nAnswer: -2*(q + 1)*(86657*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 256 + -3326\/13. Sort -1\/2, -2\/5, j, 1\/5.\nAnswer: -1\/2, -2\/5, j, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 z when three letters picked without replacement from {l: 1, m: 3, z: 3, i: 2, p: 6}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 3*q + 37 = 0, q + 525 = 6*d + 7*q + 615 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the third derivative of -l**4\/24 + l**2. Suppose -c + i = 3, -2*c - 3 = -0*c - 3*i. Let o(v) = 2*v + 1. Calculate c*h(z) - 2*o(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6680 + -6217. Calculate the remainder when s is divided by 225.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1423, 5720, 12883, 22912, 35807, 51568, 70195?\nAnswer: 91688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hunnnhnunnmhhmud. Give prob of picking 2 m and 1 u.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.180252 + 0.06.\nAnswer: 0.240252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -0.57, -182, 0.21?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes after 8:08 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*i**2 + 5*i**3 + 22*i**2 - 4*i**3 + 4*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is (-29010)\/(-4) + 3\/(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -7399, -11353, -15305, -19255, -23203, -27149, -31093?\n\"Answer: f**2 - 3957*f - 3443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1246 is divided by 281.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4783157 = -12*z + 14946629 + 4438214. Round z to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 325.3798 hours?\nAnswer: 19522.788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31600 (base 7) to base 5.\nAnswer: -222330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 52, 101, 138, 157, 152, 117, 46, -67?\n\"Answer: -z**3 + 56*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 2*m - 4 = 0, -5*m = -1960 + 1965 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -100643 + 100643 + 294*y**2 + (-1 - 4 + 2)*(-3*y**2 + 5*y**2 - y**2) + y**2 - 3*y**2 + 3*y**2.\nAnswer: 292*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r - 57. Let a(z) be the second derivative of z**3\/6 - 808*z. What is g(a(p))?\nAnswer: -p - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 43*y**2 - 5*y - 9. Suppose 5*d = 2*n + 26, 15*n - 10 = 10*n. What is the units digit of j(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/192 and 11\/240.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (24\/187)\/((-639)\/(-3621))\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 22180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*b + 188109 = 76429. Is b a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 5, x: 1, v: 2, o: 1, u: 3}. What is prob of picking 1 x, 1 o, and 1 e?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 1124.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03 plus 5111351.14438?\nAnswer: 5111351.11438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*m**2 - 67*m + 163*m - 96*m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 31*h**2 - 3*h + 11 wrt h?\nAnswer: 62*h - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 471589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) - (1*sqrt(80) + -5) - -2*(sqrt(80) + 0))**2.\nAnswer: 80*sqrt(5) + 345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*c - 91 = -81 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-18)*(-2124)\/(-118).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 415743927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -j**3 + 0*j**3 + 3*j**3 + (2*j + 2*j - 5*j)*(-2*j**2 - 3*j**2 + 3*j**2) + 3206*j**3 - 1 - 3142*j**3 + 1 as k*j + n*j**2 + m*j**3 + v and give m.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/6*74 - 20\/30?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13326064392 - 55*a**3 - 13326064392.\nAnswer: -55*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 65*a - 423. Give h(8).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53100 + 201*n - 17*n**2 - 53100 - 201*n.\nAnswer: -17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 5*f = 400, -5 = -f - 0. Suppose 5*p - 20 = c. Suppose 47 - p = -2*j. Which is smaller: j or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 2, a: 3, j: 2, i: 4, u: 1}. What is prob of sequence ziij?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 318604\/(-85778)*2\/(-13)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 343 + b - b**4 - 8*b**3 - 3*b**2 - 343 + 3*b**3 to l*b**4 + c*b + k + u*b**3 + f*b**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 189*m - 41360 = -691*m for m.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8\/3 of a millennium?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 4792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 - 3\/((-6)\/4478) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39792863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/882*42\/(-12)*(48\/9)\/(-4).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 6\/35, 1\/3, 1, 0.4, 4\/321.\nAnswer: -7, 4\/321, 6\/35, 1\/3, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 54 + -25. Suppose 0 = -3*o + z + 16. Let j = o + 7. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101100110101010 (base 2) in base 10?\nAnswer: 22954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 290 = -92*t - 354 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2501, 8215, 17127, 29237, 44545?\nAnswer: 63051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 213*h - 253*h = 840 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -476694*p**2 + 476694*p**2 + 222*p**3 + 91*p**3.\nAnswer: 313*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, -37, 5, 0, 85, -5 in increasing order.\nAnswer: -37, -5, 0, 5, 34, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - (-4 + 18 + 22)) + -1?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (12654\/28120)\/((-3)\/30)\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34\/3*3 - (-9)\/(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -534*i - 7926. Give o(-15).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**2 + 7*g + 6. Let j be w(-6). Which is smaller: j or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/(-2)*((-2)\/(-4) + -5). Let n = h - -28. What is the least common multiple of n and 52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 997407 is divided by 122.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 4, 3*n - 1665 - 2522 = -5*u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 5, -12\/7, 4\/5, 21 in increasing order.\nAnswer: -12\/7, 4\/5, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 125 and 225.\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3943505 is divided by 1419.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 5, 331, -132, 0 in increasing order.\nAnswer: -132, -9, 0, 5, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 388 + -385. Solve s - 11 = 4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5000?  (a) 5  (b) 1\/160  (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111254 is divided by 1250.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i - 9. What is u(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17396 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = z. Let c(t) = -10*t + 343. Let k(v) = 25*v - 891. Let n(f) = 13*c(f) + 5*k(f). Calculate 3*i(g) + n(g).\nAnswer: -2*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the third derivative of -h**5\/5 + 5*h**4\/4 - 163*h**3 - 113*h**2. Differentiate r(x) with respect to x.\nAnswer: -24*x + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 8*z**2 + 3. Let j be x(-8). Suppose -4 = -j*f - 16. Find the common denominator of 2\/(f\/15) - -3 and -39\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 + 14 + (0 - 0) + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -930 equal to -930?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k + 0*k + 0*k)*(-1 + 6 - 4)*(-2 + 3 - 3)*(-2234*k**2 + 2234*k**2 + 439*k**3).\nAnswer: -1756*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 678*w**4 + 5760*w**3 - 9903323*w**2 wrt w.\nAnswer: 16272*w + 34560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the first derivative of 9*h + 43\/2*h**2 + 211. What is the first derivative of v(k) wrt k?\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*f**2 + 3*f**2 + 0*f**2)*(-6 - 1 - 6) to g*f + q*f**2 + w and give q.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 15140198 to the power of 1\/2, to the nearest integer?\nAnswer: 3891","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 9319496*u**2 + 2647615 wrt u?\nAnswer: 18638992*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(832)*-1 + sqrt(117) + 0 + -1*2*sqrt(832) - (-6*(-2*(sqrt(143) + sqrt(143)*-1))\/sqrt(11)*3)**2.\nAnswer: -21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 64*l - 38 = -58*l, 3*l - 5 = -m. Let w be 48\/(-1) - 2 - -2. Let j be (-2)\/10 + w\/10. Sort m, 5, j in increasing order.\nAnswer: j, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**2 + 0*v**2 - 3*v**2 + 3*v**2 - 5*v**2 - 2*v**2 + (-1 + 1 - 1)*(-2*v**2 - 3*v + 3*v) - 1 + 1 - v**2 as y*v**2 + f + n*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + 0 + (3 - 1). Let v be (-3)\/(-2)*m\/1. Let o(t) = 70 - 273 + 73 + t + 68 + 64. Calculate o(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = 94*w - 82*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (58 - 46 - 55)*(0*g**2 + 3*g**2 - 2*g**2)*(-24*g - 4*g - 4*g).\nAnswer: 1376*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 464\/24*15\/10.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*o - 451 = 9*o. Let y(t) = t**3 - t**2 + t - 2. Let h(p) = -4*p**3 + 15*p**2 - 14*p + 25. Let v(f) = -h(f) - 5*y(f). What is v(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t**4\/7 + 3150*t**3 - 143166*t**2\/7 + 7864*t + 66072\/7 = 0 for t.\nAnswer: -1\/2, 1, 6, 5506","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 14379362.1+99023\nAnswer: 14478385.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2002*o - 9224*o - 580*o.\nAnswer: -7802*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 12 = 0, 4*q + 20 = 3*b - b. Let t = 9 + q. Is -326*(3 - 7\/t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 428.7 + -428.5. What is the biggest value in -0.13, 0.49, a?\nAnswer: 0.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, d: 1, i: 1}. What is prob of picking 1 i and 1 e?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 5*d**3 + 37*d**2 + 46*d + 40. Let a(y) = 237*y + 36*y**2 - 189*y - 7*y**3 + 40 + 6*y**3 + 6*y**3. Let m(f) = 7*a(f) - 6*r(f). Factor m(z).\nAnswer: 5*(z + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 778 is divided by 294.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 17*w**2 + 43*w - 335. Determine j(7).\nAnswer: 799","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + (sqrt(1100) + 3)*2))*4 + 4 - 6*(5*sqrt(1100)*2 - sqrt(1100) - (1 + sqrt(1100)*1)).\nAnswer: -560*sqrt(11) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 1 = -f + 13, 0 = 3*f + 6. Let n = 18 + j. Let r be (-3 + 0)*5\/(-3). Put -2, n, r in decreasing order.\nAnswer: r, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1296*p**4 + 40284*p**3 + 1120*p**2.\nAnswer: -4*p**2*(9*p - 280)*(36*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(684))**2 - (-4*sqrt(19) + 3).\nAnswer: 4*sqrt(19) + 6153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 208.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from duduuuuduudd. What is prob of sequence uudd?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.2 from -5807646.3.\nAnswer: -5807646.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1000 and 7.\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 129 and 14577?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -558.4 * -603\nAnswer: 336715.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2804790258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*-2 + 0 + -1. Let h = -18 - -14. Put 1, a, h in descending order.\nAnswer: 1, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11\/6?  (a) 209  (b) 5\/6  (c) 14  (d) 0.1  (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -429, -427, -425?\nAnswer: -423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3452609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(84) + sqrt(84) + sqrt(84))*-3*2)\/((sqrt(1728)*-4 - sqrt(12))*-4).\nAnswer: -15*sqrt(7)\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 105*y + 12*y - 61*y - 4144 for y.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 77003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**2. Let d(b) be the third derivative of b**5\/20 + 5*b**4\/24 + 3*b**2. Determine i(d(m)).\nAnswer: 18*m**4 + 60*m**3 + 50*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*u + 9*u - 7*u**3 - u**2 + 3*u**3 to v*u**2 + x*u**3 + f*u + q and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + c = 2*l + 104, c + 3*l - 33 = 0. Suppose 0 = -o + c - 5. Suppose -1 = 2*b - 5. What is the least common multiple of o and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -394*c + 330 = -197*c - 212*c for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*u**4 - u**4 + 2*u**4)*((-2*u + 2*u + 2*u)*(0 - 3 + 1) - 5*u - u + 3*u + (2 - 2 - 1)*(-110170 - 343*u + 110170) + (6 - 2 - 2)*(-u - 2*u + 2*u)).\nAnswer: -1002*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*g**3 - 2*g**2 + g**2 - 4*g + 3*g + 3*g**3 to x*g**2 + k*g + f + d*g**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -15960760 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42551320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 + 12*l**2 + 4*l + 8. What is y(-12)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**3 - 13*w**2 + w - 11. Let y be t(13). Factor -6*p - y + 27*p + 8 - 27*p**2.\nAnswer: -3*(p - 1)*(9*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 118587.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 816 and 86802.\nAnswer: 694416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 4 - 36. Suppose 15 - 7 = 2*d. Suppose l - 208 = -d*p, -l + c = l. Calculate the remainder when p is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20541 by 10.\nAnswer: 20541\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*q**2*y + 14*q**2 - q*y**3 + 330*q - 21332*y**3 - 2 wrt q.\nAnswer: -4*q*y + 28*q - y**3 + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1454112*x**2 + 1045931*x wrt x?\nAnswer: 2908224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 122*i**2 - 242*i**2 + 1330 + 381*i**2 + 256*i**2 wrt i.\nAnswer: 1034*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 312 is divided by 70.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzpzpppzpzzzz. What is prob of picking 1 z and 2 p?\nAnswer: 40\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + t = 2*b - 2, -93*t + 44*t + 494 = -b for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 168 - 0.04\nAnswer: 167.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 7*y**2 - 21*y + 125. Suppose f + 5 = -4*x, -f - x + 7 = -0*f. What is the units digit of j(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zno when three letters picked without replacement from {i: 11, n: 1, z: 1, o: 2, b: 1}?\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*y + 2*p + 1, 4*p = 5*y - 24. Suppose 5*w - 118 = y*d, -w - 4*w - 4*d + 102 = 0. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1177894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(55)\/(sqrt(5) + (3*sqrt(5) - sqrt(5))) - (-1*sqrt(110) - sqrt(110))\/sqrt(10).\nAnswer: 7*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 224255.3km to millimeters.\nAnswer: 224255300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 84 and 292383798.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*x + 50*x + 2*x**3 - 17*x - 11*x.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2*-1*3\/6. Suppose 6*d - 12 = 2*d. Suppose -d*y - 2 + 14 = 0. Which is the closest to j?  (a) 1  (b) y  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.11 - -1.51. Let r = -0.8 - 0.2. Let g = x + r. What is the third smallest value in 0, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 279108*r**2 + 279124*r**2 + 279102*r**2 - 1116442*r**2 + 279107*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o**5 + 997985*o**4 + 49800199970*o**3 + 149394612050*o**2 + 149392616105*o + 49797206045 = 0. Calculate o.\nAnswer: -99797, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.08  (b) 2  (c) 0  (d) 0.1  (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -563\/54 + 21\/2. Which is the third biggest value?  (a) -0.1  (b) i  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*f**3 + 2*f**2 - f + 6 - 4 + 10*f**3 to a*f**3 + m*f**2 + p*f + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18*5\/(-6)*72\/(-270).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6814 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -38 - -34. Is -33\/7 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-40)\/y**(2\/3)*y*y\/(y**(-8\/9)\/y)*y*y**(-30) assuming y is positive.\nAnswer: y**(-592\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.29 in 8, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 74 - 71. Let y(v) = -3*v - x - 5*v**2 + 3*v**2 + 5 + v**2. What is y(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5072275425.\nAnswer: 3, 5, 7, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -35\/39?\nAnswer: -35\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 10139610 divided by -13?\nAnswer: -779970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 3 - 12*o + 3*o**2 + 8*o - o**3 + 4*o. Let u be k(3). Solve 0 = 2*c + u*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (92\/10 + 1)*5. Let y be (-62)\/(-6)*(-2 + -1). Let u = y + d. Is 10 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/6 - 11\/(-3). Suppose -4 + 2 = -l*f - 4*z, 0 = -z - 2. Solve -3*a = -7 - f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1302 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, h: 7, m: 1, p: 3}. What is prob of sequence pml?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*c + 0*c - 101 = 0, 2*f - 2*c + 192 = 0. Let d = 116 + f. What is the second derivative of -10 - d + 43*z**2 + 29 - 2*z wrt z?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -37759\/8 + 4727. Let a = p + -383\/56. What is the common denominator of a and -17\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * 46276047.\nAnswer: -92552094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 93\/27482350 and 209\/115425870?\nAnswer: 577129350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58\/493 + (-539338)\/(-34)?\nAnswer: 29, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1507*g**3 - 1667*g**2 - 2*g.\nAnswer: -9042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes before 11:50 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -2, 4, 2, 130\/7, 2\/59 in increasing order.\nAnswer: -5, -2, 2\/59, 2, 4, 130\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-13)\/106)\/(99229\/(-15266)).\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 87\/4 - 35\/(-140). Solve -26*l + j*l - 8 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -14234 + -2?\nAnswer: -14236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 127891769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/(6\/(-8) - 231\/(-84)). Let n(a) = -2*a. Let y(d) = -3*d. Suppose 3*w - 11 - 5 = v, -2*v + 8 = 4*w. Determine h*y(t) + w*n(t).\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 561 by 6.\nAnswer: 187\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.87 times -10358\nAnswer: -9011.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/1736 at least as big as 6\/79?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p = -o + 10, 6 = 411*p - 408*p + 2*o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 309 minutes before 3:57 AM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a + 9 = -4*l - 3, l + 5*a = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -573047643 + 3?\nAnswer: -573047640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -587097333 to the nearest 1000000.\nAnswer: -587000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 0 - 11)*((-2*z**2 + 2*z**2 - 2*z**2)*(1 + 2 - 2) + 20*z**2 - 4*z + 2*z + 53*z**2).\nAnswer: -1136*z**2 + 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10663 by 130.\nAnswer: 10663\/130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**2\/5 - 9559996*i + 143399904\/5.\nAnswer: 4*(i - 11949992)*(i - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from crccrrcrzr. Give prob of sequence crz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2913 at least 2964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8.30471 - 38113.\nAnswer: -38104.69529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*p = -26*p + 36*p - 1027 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 239 divided by 28\nAnswer: 239\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 247063 and 9589277?\nAnswer: 2309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.104 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 0  (b) -0.4  (c) -5\/2  (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 8*m + 470*m - 1618*m - 20 - 160 - 160*m**3 + 1555*m**2 - 75*m**4 = 0. What is m?\nAnswer: -6, -2\/15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/116064 and -41\/2480?\nAnswer: 580320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 1. Let l be -8 - ((-8)\/((-48)\/30) + -13). Let c(r) be the second derivative of -1\/6*r**3 + l + r + 3*r**2. Give -c(j) + 6*x(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -33031 (base 5) to base 16\nAnswer: -8da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 513 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 324593966 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 39, 28, -1\/4, 5\/82, 1, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.379 - 0.021. Is 0 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -11 - 49\/((-28)\/4) - -62. Solve 7*k - x = -44 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -8?  (a) -1  (b) -4  (c) 921\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/6, -0.1, 7.93, -5, -0.4, 9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 555 and 222.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 6*c**2 - 41*c - 4. Let x(l) = -6*l**2 + 28*l + 497. Let b be x(-7). Give d(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3044 is divided by 381.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.7085 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1821.555 - -1826. Let m = 0.445 - u. What is the third biggest value in m, -0.2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -249*m + 520. Give w(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z**2 - 7*z - 1. Let o be h(-4). Suppose -2*g + 4*g - 40 = 0. Let m = g - o. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*a - 38 = -4*i, -2*a + 428*i = 425*i + 11 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {r: 3, w: 1, t: 9, x: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 - 7*u**2 - u + 9. Calculate s(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z - 6 = 8. Suppose -4*c = z*c - 336. Let i be (-10)\/15*(-21)\/2. Calculate the greatest common divisor of i and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -74 + 74.02. Which is the closest to -1?  (a) -0.1  (b) z  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 62 and 4898.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 3*a + 2*b - 12 = 0, -2*b - 4 = a. Let r = -1 - a. What is the highest common divisor of 28 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 17 + (0 - 1) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/(-5))\/(2\/10). Let g be (-15)\/(-6)*28\/l. What is g rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 675 - 606. What is the remainder when d is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22 and 146014?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = k + 3*w, -2*k = -5*w + 7 - 63. Let g = -8 + 0. Let m = g + k. Calculate the greatest common divisor of m and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 z when three letters picked without replacement from {n: 1, z: 2, p: 1, y: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -51905\/4  (b) -1\/5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1343.7 - -1344. What is the smallest value in 3, f, 16, -23, 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b*b**(-3))*((b**(-8\/7)*b)\/b)\/b)\/(b**(5\/6)\/b**(-8)) assuming b is positive.\nAnswer: b**(-335\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1377 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150014 is divided by 293.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -57845*c**3*n**3 - 5*c**2*n**3 - 87*c*n**3 - 11*n**3 + 6*n**2 - 45 wrt c.\nAnswer: -347070*c*n**3 - 10*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 3*c - 2*h, 4*c - 2 = -0*c - 3*h for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*o - 5*g = -12*o + 37, 3*g = -5*o - 35. What is the closest to 1 in 0.1, 5\/3, 19, o?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = 9 - 1. Let k(a) = 2*a**2 + 4*a + 2. Let l be k(x). Solve l*g + 6 = -3*b, -5*b = -4*g + 5 + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7.3414627 - 0.1408927. Let n = 6.74 + 0.46. Let t = n - u. What is t rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 726339?\nAnswer: 3, 197, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -436.999488 - -437. Round z to 5 decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 15. Let l(i) = -i**3 + 4*i**2 - 3*i. Let n be l(2). Suppose -n*t + 79 = y. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - -1) + 10 + -15 + -80 + 0?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 AM and 8:17 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 3*l - 2*l + 5 = 0, 4*b = -4*l + 40. Suppose d = b*d - 24. Let x = d - 1. Solve -6*c = -x*c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -335 + 341 = -3*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 38 - 24. Suppose -a*u + 0*u = -3080. List the prime factors of u.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7a0660 (base 12) to base 7.\nAnswer: -22401324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.9 * 127942.\nAnswer: -498973.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -1352*z**2 - 122*z**3 + 1624*z**2 + 36*z**4 + 48*z + 382*z**3 = 0. Calculate z.\nAnswer: -6, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 0.2  (c) 538\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6465385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 183 - 185. Which is the nearest to 2\/3?  (a) -1\/2  (b) 6  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.1 + 4.1. What is the second smallest value in 3, 3\/2, l?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 + 45*w**2 + 40*w + 174. Is b(-44) a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 24658?\nAnswer: 197264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*p**4 + 1112*p**3 + 1124*p**2 - 2232*p = 0. What is p?\nAnswer: -2, 0, 1, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2324967848 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 15*r**3 - 18*r**2 - 18*r + 18. Let v(j) = -j**3 + j**2 + j - 1. Determine -l(z) - 18*v(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1462258985?\nAnswer: 5, 11, 73, 113, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/2 or -4321\/13?\nAnswer: -4321\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-15) + (-60)\/(-126).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00151424056 rounded to 6 dps?\nAnswer: -0.001514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + 301?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-21)*7*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 39393 and 126.\nAnswer: 551502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23b7 (base 12) to base 14.\nAnswer: -1679","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 18.112383 months?\nAnswer: 0.00150936525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.48 less than 689\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 2:32 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(-3))**42)**(-2\/121) assuming m is positive.\nAnswer: m**(-336\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5.924 + -17.\nAnswer: -11.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1863011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.7728234 centimeters?\nAnswer: 7.728234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7974, 31882, 71722, 127494, 199198, 286834, 390402?\nAnswer: 509902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l, 1 z, and 1 q when four letters picked without replacement from {z: 2, l: 3, v: 1, q: 3, s: 1, j: 3}.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/3)\/(-3 - 52\/(-24))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 12:54 AM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 87561813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 9:46 PM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/3  (b) -106  (c) -2\/5  (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -9 times 700772.3\nAnswer: -6306950.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/27 + (-23)\/(-3). Suppose -4*i = -3*i - 5. Let s = k - i. Solve -s*u + 3 = -6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 3, k: 3, h: 1}. What is prob of sequence llhk?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k - 4*d - 8, -5*k = -13265*d + 13266*d + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -119*u + 122*u + 2*y - 22, -8*u - 2*y = -12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) be the third derivative of -w**4\/12 + 4*w**3\/3 - w**2. Let u(b) = b - 3. Let c = -18 - -10. Let y = 55 - 58. Calculate c*u(o) + y*d(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 13 = -3*m. Let i = m + 6. Suppose 0*t - 51 = -i*t. List the prime factors of t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (1 + 6 + -3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 6 + 0 + (-2 - 6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-9)\/9)\/316)\/(((-333)\/72)\/(-37))?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2121\/11 - 193. Let q = -0.3 + 0.1. Which is the nearest to 0.1?  (a) v  (b) 1\/4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(84) + sqrt(84) + (sqrt(84) - -1*sqrt(84)) + sqrt(84))*1)\/((sqrt(60) - (sqrt(480)\/(sqrt(56)\/sqrt(7)) + sqrt(60)))\/sqrt(5)).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-132)\/(-6204))\/(1\/(-2)*-1).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -577.\nAnswer: 5\/577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 66 and 232738?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = 6 + 3. Suppose 5*k + 223 = 3*h, -3*h - 75*k + 239 = -76*k. Suppose -x*i - 48 + h = 0. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3952790 divided by 1427?\nAnswer: -2770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -106 - 60 = -2*v. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 43439073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -633*z - 639*z + 2569*z - 640*z - 640*z.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 13\/112 or -2\/3?\nAnswer: 13\/112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 41\/2 of a gram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 150243429.98 rounded to the nearest 1000000?\nAnswer: 150000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 222 (base 15) in base 16?\nAnswer: 1e2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 47*b**3 + 982*b**2 - 83*b + 23. Calculate v(-21).\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of 5*v**6\/18 + 29*v**5\/3 - 160*v**4\/3 + 220*v**3\/3 - 831. Determine k, given that i(k) = 0.\nAnswer: -33, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 68 or 69?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -9416506 or -9416429?\nAnswer: -9416429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23523861 and 1545.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -2*l**3 + 13*l + 1. Let z(i) = -2*i**3 + 16*i. What is -5*d(y) + 4*z(y)?\nAnswer: 2*y**3 - y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 1823.\nAnswer: -5\/1823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 329 is divided by 87.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -9531, -78643, -266267, -631659, -1234075, -2132771, -3387003, -5056027?\n\"Answer: -9876*c**3 + 20*c + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((120\/16)\/15)\/((-1)\/(-20)). Solve o*s = 12*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1342?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of 5*c**3\/3 - 45*c**2 - 125. Find t such that o(t) = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-6*(sqrt(2) + 0) - (-1*sqrt(16))\/sqrt(8) - (sqrt(200) - (sqrt(2) - ((1*sqrt(162))**2 + sqrt(2))))).\nAnswer: -167 - 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -198*u - k - 9 = -203*u, 4*k = -3*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*(((y\/(y*y**(-1\/5)*y)*y)\/y)\/y)\/y)\/y*y*y**(-1\/7)*y**(1\/7)\/(y\/y**(-3\/4)*y)*((y*(y\/y**1)\/y)\/y)**39*y**6\/((y\/y**2)\/y) assuming y is positive.\nAnswer: y**(-711\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3191*w - w**3 + 3192*w + 5*w**3 - 6383*w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14834295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17\/((-2057)\/99)*(-2)\/3.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, h: 1, c: 1, n: 2}. What is prob of picking 1 n and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70, 72, 74, 76, 78, 80?\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 605 minutes before 11:48 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 6054\/35 + -867\/5. Sort -13, g, -49 in increasing order.\nAnswer: -49, -13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 249 = -s + 509 - 256, 2*s - 38 = 4*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*l + 14*l - 8 = 0. Suppose 4*x - 20 = 3*o + o, -5*x + 4*o = -20. Solve -2*y - l = -x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - o - 212977. Let t = 3 - 3. Let g be d(t). Let n = -102977 - g. What is n rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + -71?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -9*y + 1. Let c(b) be the first derivative of -2*b**2 - 3. What is -5*c(v) + 2*d(v)?\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -18*c**5 - 3017*c**4 + 83657*c**2.\nAnswer: -1080*c**2 - 72408*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 9.99 + -10. Let h = i + -0.03. Let g = 364 - 6190\/17. Which is the nearest to h?  (a) 0.5  (b) 4\/3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25652 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - 1 - (6 - 4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 3  (b) 309  (c) 1  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in seven eighths of a day?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence puc when three letters picked without replacement from ccpuguc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and 10762?\nAnswer: 1076.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.32 + 1.72. Sort -0.1, r, 1, -5 in decreasing order.\nAnswer: 1, r, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*k**3 + 8*k**3 + 77 - 677 + 0*k**3 - 6*k**3 + 21*k**2.\nAnswer: -3*k**3 + 21*k**2 - 600","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (72\/(-21))\/4*1\/3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v - 5. Suppose 4*g - 35 + 3 = 0. Let t be h(g). Suppose 15 = t*b - 18. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -5*k**2 + 280*k + 2238. Calculate o(63).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*j - 15*j = -102. Solve 4*y = 5*k + 24, -5*k + 4 = -j*y + 27 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/1 + (-630)\/245?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -473336 + 236670 + 2*q**3 + 236666.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - (-3 + 18 + (40 - 46))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 47\/238 - -3\/34. Which is the third smallest value?  (a) 2\/5  (b) 0.02  (c) t  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 23291*d**2 - 27*d + 29. Let c be y(1). Is c at most 23293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the first derivative of -35*u**4\/4 + 4*u**2 + 8*u + 14. Let i(j) = 12*j**3 - 3*j - 3. Let a be -7*(-11 + 255\/21). Give a*i(r) - 3*w(r).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 191 minutes before 8:28 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6*-1)\/((-5)\/((-35)\/(-7))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 133 divide 171753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 86 + -82. Let b(l) be the first derivative of 0*l + 0*l**3 - 4\/5*l**5 + 0*l**n - 3 - 1\/2*l**2. What is the second derivative of b(u) wrt u?\nAnswer: -48*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twelve fifths of a tonne in kilograms?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 16 = -2*z - 0*s, 0 = -3*z + 2*s + 24. Let b be 57\/12 + (-46)\/z + 5. Find the common denominator of b\/2*(-3 - 357\/(-198)) and -143\/30.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98295959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**2 - 7*j**2 - 2*j**2)*(-3*j**2 + 3*j**2 - 2*j**3) + (1 - 463*j + 463*j + 719*j**3)*(-3*j**2 - 4*j**2 + 6*j**2).\nAnswer: -703*j**5 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 31434 and 5746.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 694 + -250. Suppose -8*c + r = -628. Does 10 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1403\/168 - -52\/21. Let v = 2 + -10. Find the common denominator of 308\/v + 0 + 2 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 10, o: 3, e: 2}. Give prob of picking 2 e and 2 o.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/65 in -11\/7, 5, 0.3, 13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 4.3\nAnswer: 0.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -6*q + 2*q - 3*d, -5*q = -d - 1. What is the second smallest value in -17, 2\/17, q, -5\/4, 2\/15?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3*1 - (-323)\/(-119))*1132334\/(-55780)\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 2911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14971 is divided by 4987?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ili when three letters picked without replacement from {l: 1, d: 2, i: 2, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 525*r**3 + 3*r - 8. Let g(f) = -526*f**3 - 5*f + 12. Calculate -2*g(l) - 3*o(l).\nAnswer: -523*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (110\/44)\/((-25)\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 32*n**2 - 113*n + 133. Let z(m) = -5*m**2 + 19*m - 22. Let k(b) = -6*l(b) - 39*z(b). Factor k(y).\nAnswer: 3*(y - 20)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195569107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 - 1.9. Sort m, -1\/2, 2 in descending order.\nAnswer: 2, -1\/2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3761*l**2*q**2 + 181*l**2 - 1325*l*q**2 + l*q - l - 193*q + 1 wrt q.\nAnswer: -7522*l**2 - 2650*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6231 is divided by 190?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to 0.048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2239*g - 5881*g = -284803 - 68471 for g.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 225 is divided by 67.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 187419985 and 45588645?\nAnswer: 1686779865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/(-28) + -2 - 429\/91.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -198 or -294?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gqnqxgq. Give prob of picking 1 q, 1 g, 1 x, and 1 n.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 558 divided by 7073\nAnswer: 558\/7073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2 - ((-12)\/(-4))\/3) + -29. Let h be 8\/b + 84\/(-49). Let a = -8 + 18. Which is greater: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of v**8\/7 + 5*v**4\/12 + 13*v. What is the third derivative of d(l) wrt l?\nAnswer: 960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z - 9 + 9)*(2 - 2952*z - 1 + 2941*z).\nAnswer: 22*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a**2 + 0*a**2 - 3*a**2 + (-2*a - 2*a + 5*a)*(2 + a - 2) - a**2 + 0*a**2 - a**2 + 2 + a**2 - 2 - 8368*a**2 + 2204*a**2 - 6861*a**2 - 2062*a**2.\nAnswer: -15088*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37419109, 74838213, 112257317?\nAnswer: 149676421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (664696 + 6*d - 664696)*(-2*d**2 + 4*d**2 - 5*d**2) in the form j*d**2 + m*d**3 + s*d + z and give m.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.0540169 or 4\/5?\nAnswer: 0.0540169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 61 = -54. Suppose -2*p = -q - 10, q - 5 = -2*p - 15. What are the prime factors of (1 - a) + q\/(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 - 2*u**2. Let c be k(-2). Let b = 7116 + -7027. Suppose i - b = -c*i. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 122*m - 1076 - 759472 = 0. List the prime factors of m.\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18328*d**3 + 4*d - d - 2*d - d - 18374*d**3.\nAnswer: -46*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 38505 and 23.\nAnswer: 885615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s. Let j(f) = 333*f**2 - 2*f + 1. What is j(i(x))?\nAnswer: 333*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 2*l + 286 = -0*l, -3*s = -3*l - 858. Suppose x + 41 = s. What is the greatest common divisor of x and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 9:17 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 10 - 14. Let l(n) = -n**3 - 4*n**2 - 6*n - 8. Suppose -2*u = -0*u - 62. Calculate the remainder when u is divided by l(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 6, 0.5, 1, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the first derivative of v**3 + v - v - 2 - 1 - v. Differentiate n(q) with respect to q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(432)*-1 + (sqrt(432)*-1 - sqrt(432)) + 5 + 0)**2 + 5*(-1 + sqrt(432))*-4*-1.\nAnswer: -240*sqrt(3) + 6917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 31*c**2 - 2. Let x be t(1). Suppose -3*o = 4*j - x, 10*o - 8*o - 21 = -3*j. Solve o*a = -7 - 5 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3032 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*u - 15*u**2 + 18*u**2 + 2*u - u**3 in the form t*u**2 + i*u**3 + k + f*u and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -699.0648 - -699. What is v rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x\/(x*x**(-2\/9)*x))\/(x*((x**(2\/9)\/x)\/x)\/x)*(x\/(x\/(x\/(x\/x**0))))\/(x\/(x*x**4)))\/((x**(-1))**(-2\/15)*x**8*x**5\/x) assuming x is positive.\nAnswer: x**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-118)\/649)\/(0 + (-4)\/(-23)). Let y = s - -6\/11. What is the biggest value in -0.4, 3\/5, 0.2, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -o**4 - 6*o + 5 + 3*o**2 - 4 + 8*o to t*o**2 + b*o**3 + y + m*o**4 + r*o and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/2 - 57\/(-3). Suppose h + 7 = 5*c. Suppose -4 = 2*b - 3*x, 4*x = -0*b - 3*b + 28. Solve -c*m + 2*u = -9, 2*u + 1 = m - b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2210889*l**3*v**3 - 4*l**2*v**3 + 8*l**2*v**2 + 435*l**2 - l*v**3 - 2*l wrt l.\nAnswer: 13265334*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3827.664 rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -279. Differentiate r - 638 - 53*s + 227 wrt s.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 8) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11.55 + -10.5. Let z = m - 0.05. Which is the second biggest value?  (a) z  (b) -2  (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*c**3 - 1716*c**2 = 0. Calculate c.\nAnswer: 0, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 13 divided by 156\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -3 + 3 + 0 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003649011 rounded to 6 decimal places?\nAnswer: -0.000365","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 4*r + 869, 4*j - 5*r - 1685 - 1791 = 0. Is 152 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of -w**6\/180 - 4*w**3\/3 + 4. Let a(t) be the third derivative of g(t). Let x(k) = 5*k - 2*k - 2*k. What is x(a(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + u - 2. Let a be y(-2). Suppose a*j - j + 5 = 0. Solve m + 3*l = -l + 16, 3*l = -j*m + 29 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3*a**2 + 11*a + 6. Let s(h) = 2*h - h**2 + 2 + h + 0 + h. Let b be (-174)\/(-21) + -2*2\/14. Determine b*s(r) - 3*x(r).\nAnswer: r**2 - r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**2 - 3*m**2 - m**4)*(-4 - 7 + 1) - 5*m**4 + 20*m**3 - 20*m**3.\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2351 + -4?\nAnswer: 234b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 <= 38703?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*g + 20*g = 37*g + 23*l - 24*l, -5*l + 14 = -2*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -25, 31, 129, 275, 475, 735?\n\"Answer: b**3 + 15*b**2 + 4*b - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -432*k**3 + 5*k**2 + 7*k + 5. Let f be (-28)\/(-2)*3\/(-6). Let l be u(f). Let b = -263377 + l. What is b rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of k**4\/12 + k**3\/6 + 11*k**2\/2 + 8*k. Let x(o) be the first derivative of z(o). Calculate x(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 4, 706.\nAnswer: 4, 7, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -118\/8461 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2 + v. Let z(y) = -7*y**2 - 210*y + 216*y + 4*y**3 - 3*y**3 - 6. Let c(h) = -6*a(h) + z(h). Determine c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -411 less than -4365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the third derivative of 2*y**5\/15 + y**4\/4 - y**3\/6 + 153*y**2. List the prime factors of n(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f = -2*i + 3*f - 14, 2*i + 5*f = -20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4 - -411?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the third derivative of -j**4\/24 - 11*j**2. Let c(w) = w - 4. Let i(h) = c(h) + 5*o(h). Differentiate i(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 146, 1.322, 1\/4, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the first derivative of t**2\/2 - 8*t - 37. Let f = -18 - -27. Let g be m(f). Solve -4*c - 5*w = -g, c + 4*c - 17 = -w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2)*c\/(c\/(c**(-4\/7)*c)*c))\/((c*(c**(-3\/7)\/c)\/c)\/c**(2\/5)) assuming c is positive.\nAnswer: c**(-26\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -32 + 21 - -16 - (-16 + 7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) be the third derivative of 0*q + 0 - 11*q**2 - 10\/3*q**3 - 1\/8*q**4. Calculate the remainder when 26 is divided by d(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(0 + 0 + -1). What is the least common multiple of (2 - b)\/((-6)\/(-24)) and (3 - 4) + (0 - -9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 222171 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {i: 1, o: 4, z: 3, v: 5}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 12  (b) 1\/6  (c) -0.3  (d) 10\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 19*d + 162 = 432, 33*a = 68*a - 34*a + d + 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5\/13 - -29\/26. Which is the nearest to 0.1?  (a) -0.5  (b) -3  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8791*b*l**3 + b*l**2 - 3*b*l + 9554*b - 3*l**3 wrt l?\nAnswer: 52746*b - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 299\/4 + (7 + -5)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 5*l**3 - 4*l**2 + 3*l - 5. Suppose 5*b - 51 = -3*u, -u + 4*b - 7 = 3*b. Calculate j(u).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5 + (-60)\/(-9)*3. Let l(f) = -12 - 18 + f + 28 - t. Let s be l(18). Solve -h - 4 = s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 514*k**2 + 45*k**2 - 170*k**2 + 223*k**2.\nAnswer: 612*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(2\/3)\/z*z*z*(z**(1\/15)*z)\/z assuming z is positive.\nAnswer: z**(26\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/12 + -4 + 39\/9?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 + 18. Suppose 5*i - 4 = -2*k + 16, -2*k + y = 4*i. Suppose -p - 4*r - 207 = -i*p, 76 = 2*p - 5*r. Calculate the remainder when 83 is divided by p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-22)*t)**15 assuming t is positive.\nAnswer: t**(-315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v + 68*v**2 + 144*v**2 + 1660*v**2 - 3*v.\nAnswer: 1872*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, -2, 1, 16, 15 in ascending order.\nAnswer: -2, 1, 13, 15, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -8550, -17136, -25722?\n\"Answer: -8586*s + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 0 + 5 = 0. Let l be 1 + (0 - (-5 + j)). Let b(g) be the first derivative of g**3\/3 - 3*g**2\/2 - 3*g + 7. Determine b(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes after 5:05 PM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - -6. Let k(g) = g**3 + 6*g**2 - 2*g. Let s be k(-6). Let y be s\/21 - (-570)\/(-875). Which is bigger: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the first derivative of 2\/21*p**6 - 1\/7*p**4 + 0*p - 4\/21*p**3 + 0*p**2 + 7 + 4\/35*p**5. Let y(x) = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**2 + 3*w + 5. Let q be i(5). Let t = -4 - q. Which is smaller: t or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24 - 9 + 13*q - 69*q - 15.\nAnswer: -56*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000047727 to seven decimal places.\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -60 - -40. Let g = 0 - k. Let h(f) = -f**2 - 15*f - 29. What is the remainder when g is divided by h(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2590988 to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 40343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4464183, 8928526, 13392865, 17857200, 22321531?\nAnswer: 26785858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*o - 2*o - 2*o)*(2 - 3 + 0) + (o - 4*o + 4*o)*(-5 + 3 + 0)*(-13 - 113 + 259).\nAnswer: -268*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40) + 6*(-2*sqrt(40) + sqrt(40)))\/(sqrt(16)\/sqrt(98)).\nAnswer: -35*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Total of -21035517838680 and -7.\nAnswer: -21035517838687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2393 is divided by 153.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-16)\/24*(-63)\/14. Suppose 2*a = 10, 3*h - v*a + 11 = -4. Solve -1 = -5*s - 3*m, 7 = 3*s - h*s + 5*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 10*p**2 - 286*p - 21. Let q(y) = 5*y**2 - 144*y - 8. Calculate -5*q(r) + 2*z(r).\nAnswer: -5*r**2 + 148*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 8811, -2, -1 in ascending order.\nAnswer: -2, -1, 8811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -y - 5 + 4 + 3 + (2*y - 4*y + y)*(0 + 3 - 2) + (38 - 23 + 24)*(5*y - 3*y - 3*y) in the form a + d*y and give d.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y + 28 = 5*a, y - 77 = a - 79 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 51809239?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -77\/32992 and -9\/320.\nAnswer: 329920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 51057958*y. Let v(a) = -3*a. Calculate v(l(j)).\nAnswer: -153173874*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 772762943 to the nearest integer?\nAnswer: 27799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2 - 7*r - 196. Give g(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, p: 3, u: 3, n: 1, k: 3, x: 1}. What is prob of sequence kxna?\nAnswer: 3\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1050 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r - 1. Let a be v(6). Solve 2*i = -5*p - 3*i + 10, 2*p + a*i = -2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 684132.5 kilograms in tonnes?\nAnswer: 684.1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -32*x**2 + 3 - 77*x**2 - 4 + 25*x**2 - 29*x + 29*x + (2 + 1 - 2)*(-2*x**2 + 6*x**2 - 3*x**2) as u*x**2 + k + b*x and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*u**2\/4 - 75*u\/4 - 95.\nAnswer: 5*(u - 19)*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -44 + 68. Calculate the lowest common multiple of (8\/14 - 0)*-21 + 72 and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 12202050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 6 - (1 + 3) - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -12\/5, -0.05, -28, 16776, 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 40 + -33. Suppose n = -k + 8. Let u be (-174)\/(-10) - 6\/15. Put u, k, -2 in ascending order.\nAnswer: -2, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -8931, -14, -2\/7, -0.05, -3 in decreasing order.\nAnswer: -0.05, -2\/7, -3, -14, -8931","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 12*2*(10\/(-130))\/(18\/117)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 420 is divided by ((-1)\/(-5))\/((-11)\/(-3905)).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 185381, 741523, 1668425, 2966087, 4634509, 6673691, 9083633?\n\"Answer: 185380*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2.9 or 78816?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 98244?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 36 = -2*y. Let n be (-3)\/(-6) - 5\/y. Let r = -19.9 + 20.4. What is the closest to -1 in n, 2\/5, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 332.773 + 6.227. What is the third smallest value in 2, -3, -5, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -645 - 0.\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 977975333 to the nearest integer?\nAnswer: 31273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5154740.\nAnswer: 2, 5, 17, 15161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/6*-10*(-69)\/23?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q - 20 = 2*q. Solve 0*n - 8 = -q*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4762 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*m + 66 + 0 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.25 + -0.25. What is the biggest value in 0, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 26 = -2*s, 6*j + s = -16 + 94 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.09 in 11, 2\/225, -5?\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 4*f = 448, n + 1140 = -4*n - 5*f. What is the hundreds digit of (3 + (-45 - -2))\/(16\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7734 is divided by 313?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 77976 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.1663234 rounded to one decimal place?\nAnswer: 61.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -39 > 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/(-36)*3\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (13 - 5) + -8 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.05464405 and 10642.\nAnswer: 10642.05464405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 311187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from nnnn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 22041645 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -57  (b) -0.01  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((48\/(-18))\/4*3)\/(374\/17)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11 or 13\/1376328?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -236.567095 + 0.038095. Let d = 0.529 + g. Let o = d + 234.59. Round o to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((0 - 1)\/15)\/((-8)\/20).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 3*v + 5 = 0, -3*o - 2*v + 2 = -4*v. Suppose o*w + 4*f = 255 + 57, -4*w + 309 = f. What is the least common multiple of 77 and w?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.014 * -22384.\nAnswer: -313.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 622245343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + -2)*(-5)\/(-2). Let z be q\/2*(-64)\/10. Suppose -5 = -4*i + 3. Calculate the greatest common factor of z and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 PM and 9:24 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 176930?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**2 + 286*s + 1176.\nAnswer: -2*(s - 147)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 - (-34 - (-5 + 2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000004292 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 219\/(-30) + -3 + (-8)\/(-16) and -1\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6718.813 millennia in centuries?\nAnswer: 67188.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.224 + -0.124. What is a rounded to 0 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 + 6*w**2 - 7*w - 4. Let x(r) = 2*r + 27. Let c be x(-17). Let m be g(c). Let q = m + 24. Calculate the remainder when q is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -6, 2\/11, 5, 22?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 401 + 160*m - 806 + m**2 + 3*m**2 + 405 to b*m + r*m**2 + y and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*m - 65 = 7*m. Let f(h) be the first derivative of -1\/2*h**6 - 3\/2*h**2 + 0*h**m + 2 + 0*h**3 + 3\/2*h**4 + 0*h. What is d in f(d) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1610 by 7.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -5*m - 27. Let x(i) = 9*i + 53. Let f(t) = -7*j(t) - 4*x(t). Let v be f(-3). Let o = 126 - v. What is the remainder when o is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gni when three letters picked without replacement from {g: 5, l: 1, n: 7, i: 5}.\nAnswer: 175\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 231 + -130. Suppose 105*p = g*p + 16. What is the derivative of 10 - 3*z**p + 0*z**4 + 30 wrt z?\nAnswer: -12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 2)*(0 - 28 - 11)*(-1 + 2 + 2)*(5*l**2 + 5*l**2 - 6*l**2).\nAnswer: -936*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -707 - -709. Let l be o\/((-40)\/215)*-4. Sort -5, l, -0.1 in descending order.\nAnswer: l, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2610837.\nAnswer: 3, 139, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31049*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 777052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0532011 rounded to four dps?\nAnswer: 0.0532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - -12*1003\/(-1020))\/(95\/100).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -10 - -19 - (-7 + 15 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(1\/15))**(-6)\/(i\/i**(4\/5))**(-1\/5) assuming i is positive.\nAnswer: i**(-159\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2672932353 to the power of 1\/2, to the nearest integer?\nAnswer: 51700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 12*i + 297 = 0. What is the greatest common divisor of 22 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3 + 760*y**2 + 17918*y + 59640.\nAnswer: 2*(y + 4)*(y + 21)*(y + 355)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 0 - (-3 - -6)) + (-20 - (-85 + 71)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3114222 - -124?\nAnswer: -3114043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + 8.3. Let z = -176.5 - -179.5. Sort 1\/11, x, z.\nAnswer: 1\/11, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -5*l**2 - 3*l + 1. Determine v(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31 + -54. Let c = h - -33. Calculate the smallest common multiple of c and 84.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/57, 4, 0.5 in descending order.\nAnswer: 4, 0.5, 2\/57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 19*a - 6. Calculate the remainder when z(5) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + 8*s**2 + 27*s + 78. Determine h(11).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -53*f - 4. Let o be u(3). What is the units digit of 2\/5 + o\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -127.552101.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2 and 50598.644?\nAnswer: 101197.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, a: 2, x: 3, y: 4}. Give prob of picking 2 a.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -92450*v + 46234*v + 46222*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 a when three letters picked without replacement from {g: 6, b: 3, s: 2, a: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 349.6 + -349.60007911. What is j rounded to six decimal places?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/518 and -3\/1820.\nAnswer: 67340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**2. Let c(w) = -31*w. Let h(d) = -2*d. Let n(l) = -c(l) + 5*h(l). Determine a(n(u)).\nAnswer: -441*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -538294721*o**2 + 1349*o**3 + 538294721*o**2 - 1363*o**3.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 138.7785581425 - -0.2214341575. Let x = 139 - v. Round x to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 58.350474 days to weeks.\nAnswer: 8.335782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the first derivative of s**5 + 235*s**4\/4 + 1990*s**3\/3 + 2650*s**2 + 4440*s + 7005. Factor w(g).\nAnswer: 5*(g + 2)**2*(g + 6)*(g + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 28, 5, -1, -49\/8, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 816863 is divided by 427.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8 - -11. Suppose b - 16 = -u. Suppose b = -4*h + 5*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.331+-20\nAnswer: -20.331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 237*o + 3040 = -130*o + 63*o for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p - 7 = -2*m + 3, -p - 21 = -5*m. Solve 4*z = 5*c + 28, -m*z + 12 = -c - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 154 divided by -2\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000853451 rounded to seven dps?\nAnswer: 0.0000853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 4\/16*-44 + 4736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 3*i = -0*i. Suppose i = 4*u - 92 - 4. What is the remainder when 93 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 25 - 37. What is the remainder when 26 is divided by (-9)\/g*3*4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:11 AM and 12:10 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 - -11. Let h = -3.1 + 8.1. Which is the closest to 0.02?  (a) l  (b) 0  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-74400)\/5440 - 27\/(-2).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/35 and -25\/4368.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 68*w**3 - 285 - 148 - 67*w**3.\nAnswer: w**3 - 433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**3)**(-4\/9)\/(o*o**(-1\/4)*o**(-10)) assuming o is positive.\nAnswer: o**(365\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2592001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3913346.21 rounded to the nearest 10000?\nAnswer: -3910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8554210*t**3 - 7961020*t**3 + 33594381*t**3.\nAnswer: 34187571*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 610173 is divided by 15643.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -18 + (52 - (-7 + -1)).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -470*x**2 - 82193*x + 164002*x - 80092*x + 1 wrt x?\nAnswer: -940","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 + 3*a**2 - a + 6. Let j be s(3). Find the common denominator of ((-9)\/42)\/(3\/(-17)) and (-53)\/j*(-12)\/(-16).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o + 1. Suppose -13 = -23*c - 35 - 70. Let d(y) = -3*y - y**3 - y**3 - 2*y + 4. Determine c*w(i) + d(i).\nAnswer: -2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the third derivative of -3*i**7\/70 + i**5\/30 + 2*i**2. Find the third derivative of t(l) wrt l.\nAnswer: -216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*o - 13*o - 24 = 0. Solve 0 = o*p - w - 2, -8 = 4*p - 0*p - 4*w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -7\/6  (b) 1\/3  (c) 1  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 615.904l?\nAnswer: 615904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 20*t**3 + 22*t + 4*t**2 - 2*t**2 + 403*t**3 - 20*t to the form o*t + x + n*t**2 + w*t**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/1 + 2*2. Let j be 22\/6 - o\/(-6). Suppose -3*v = -2*f - 16, j*v + f - 5*f = 24. Solve v - 10 = -3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*t - 678 = -55*t. What is the second derivative of 19*z + 43*z - z**5 + z**3 - 226 + t wrt z?\nAnswer: -20*z**3 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81480.\nAnswer: 2, 3, 5, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -w + 2. Let f(j) = -j**2 - 4 - 7*j - j + 0*j + w. Let x be f(-7). Solve 5*h - 2*h = 2*p - 1, -x = 5*h + p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:08 AM and 11:54 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 12\/8*8\/6*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 202425181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 16*t - 14. Let s(o) = 13*o - 13. Let v(q) = 6*p(q) - 5*s(q). Let w be v(1). What is the highest common divisor of w and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -35*i - 3. Let p be 18\/8*(-340)\/255. Let c(l) = 106*l + 10. Calculate p*c(u) - 10*o(u).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + -1 + 1 + 4. What is the second derivative of -k + 13 - 6 + 27*m + 23*m**5 wrt m?\nAnswer: 460*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*b**3*n**2 + 107882*b**3 - 2*b**2 - 57864*n**2 wrt b.\nAnswer: -18*n**2 + 647292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 10*x + 19. Is f(13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 9:25 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0 + 4*(0 + -2). Let f = -3 - q. Solve f*j - j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - 4*q - 6. Let v(a) = -a**2 + a. What is -b(i) - 3*v(i)?\nAnswer: 2*i**2 + i + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/5 of a century in years?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 + 136\/60)\/((-6)\/15). Sort 0, -0.5, u in ascending order.\nAnswer: u, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (360\/(-1350))\/(-21*4\/18).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (0 + 1)\/((-5)\/(-30)). Let v(m) = -m**3 + 7*m**2 + 3*m + 5. Let c be v(k). Suppose 0 = 11*q - 10*q - c. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**5 + q**2 + q. Let j = 1 + 2. Let k(d) = -d**5 - 4*d**2 - 3*d. Let h(n) = j*l(n) + k(n). Find the third derivative of h(t) wrt t.\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/2)\/5*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/((-2)\/(-3)*-3). Solve w = -5*z - 0*z - 20, -4*r = 5*z + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) be the first derivative of l**5\/20 + l**4\/3 - l**3\/6 + 5*l**2\/2 - 8*l - 10. Let p(g) be the first derivative of w(g). Give p(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/20)\/((-26)\/(-325))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 45 - 15143204?\nAnswer: -15143115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 9*x. Let a(k) be the third derivative of 0 + 4*k**2 - 1\/60*k**5 + 0*k**4 + 0*k**3 + 0*k. Give v(a(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01686 rounded to three decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 + 34. Let k = n - 13. Let b = k + -20.999915. What is b rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**3 - 5*d**2 + 4*d + 2. Let y(i) = i**3 + 4*i**2 - 2*i - 2. Let j be y(-3). Suppose 0 = -4*n + j + 3. Give m(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - a**2 + 5)*(-5 + 5 + 7*a) - 4*a**3 + 3*a**3 + 2*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 843036.\nAnswer: 2, 3, 163, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/3*v**4 + 2*v - 2*v**3 + 2\/3*v**2 - 4\/3 = 0 for v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 960  (c) -1200  (d) -0.1  (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.4?  (a) 9  (b) 3  (c) -0.5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1132 divided by -97?\nAnswer: 1132\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 395013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 83908 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, w: 2, g: 1, t: 1, l: 1}. What is prob of picking 1 y and 1 w?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 150871, 151025, 151183, 151345, 151511, 151681?\n\"Answer: 2*a**2 + 148*a + 150721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m - 7. Let c = -38 + 36. Let w be (-9)\/c*4\/(-6) + 30. Let j be x(w). What is the highest common factor of j and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/3*(-51)\/170?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of -1 + 1\/3*p**4 - 25*p + 0*p**3 + 0*p**5 + 1\/5*p**6 - 2*p**2 + 1\/7*p**7. Find the third derivative of i(u) wrt u.\nAnswer: 360*u**2 + 144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, 17, -2 in descending order.\nAnswer: 17, 16, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-454*t + 196*t + 205*t)*(3*t - 3*t + t**2 - t**2 + 0 + 0 + (4 + 1 - 7)*(3 - 3 - 2*t**2)) to the form h + o*t + u*t**2 + l*t**3 and give l.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 241825 and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17216 = 2422*w - 72398 for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*f - 17. Suppose 5*r + 335 = 5*x, -3*r + 5*r + 323 = f*x. Let c = x - 43. Is 20 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 55 + 10 + -116 + 55.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*w = 182, -5*w + 435 = -4*x - x. Let r = x + 158. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -5 + (5 - -5) - 13. Let p(h) = -h**3 - h**2 - 8 - 2*h**2 + 0*h**2 + h - 3*h**2. What is the tens digit of p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 62, -1, -136, -367, -718, -1213?\n\"Answer: -4*x**3 - 12*x**2 + x + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2 at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4255 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 - 2 - (1 + -3). Let j(c) = -5*c**2 - 1 + 7*c**2 + 2*c**3 + 9*c**3 - c**2. List the prime factors of j(p).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-2)\/11 - (-4)\/22. Let c = -2.3 + -6.7. Let g = 5 + c. Sort -1, g, x in decreasing order.\nAnswer: x, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 1 + sqrt(128) + sqrt(128))**2 + -5 + sqrt(98) + -2 + sqrt(98) + 0.\nAnswer: -114*sqrt(2) + 521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = j + 8. Suppose -s - 6 = 2*v - 31, -47 = -4*v - s. Let z be f(v). Let x = z - 16. Solve x*q = 6*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5302, 5053, 4800, 4543, 4282, 4017, 3748?\n\"Answer: -2*v**2 - 243*v + 5547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1930.\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*k**3*k*k**0)\/(k*((k\/(k*k*k\/((k**(-2\/15)*k)\/k)*k))\/k)\/k*k*k**(2\/7)*k) assuming k is positive.\nAnswer: k**(719\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 42009745?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 87627.1 decades?\nAnswer: 8762.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 + 7*r - 6. Let o be a(6). Let p(v) = o*v**2 - v**2 + 2*v**2. Let b(m) = 2*m**2 - 5*m**2 + m**2. Determine p(b(d)).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -204058 + 8714 = 3368*n for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 3*t - 383. Let y(b) = b + 2. Determine -d(o) + 5*y(o).\nAnswer: 2*o + 393","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -12, 125 in descending order.\nAnswer: 125, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**2 + 4*m - 2. Let h(u) = -u**2 + u - 1. Let f(a) = -30*a. Let p be f(1). Let v = 29 + p. Give v*c(r) + 3*h(r).\nAnswer: -2*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -22066.259 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(1\/9)*w)\/(w\/(w*w*w**0*w)))\/((w*w**2\/w)\/(w\/((w**(2\/17)\/w)\/w)))*(w**2\/w)\/w*w\/w**(2\/11)*w**0\/w**(2\/11) assuming w is positive.\nAnswer: w**(9475\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*r - 2*r - 3*r**4 - 2*r**4 + 14 + 4*r**4 - 15 to s*r**4 + t + l*r + b*r**2 + g*r**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**14\/(b**(-3\/4)\/b))\/(b\/b**(8\/5)*b*b**16) assuming b is positive.\nAnswer: b**(-13\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 - -21211?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*p - 3*p**2 - 3*p - 2 + 2 - p**4 + 1 to n*p**3 + c*p**4 + q*p + j + l*p**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 6.852435 decades?\nAnswer: 0.6852435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from fpfmmfppff?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -r**5\/60 - r**4\/3 + 11*r**3\/6 + r**2\/2 - 2. Let s(z) be the second derivative of o(z). What are the prime factors of s(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -l**4 - 42802830*l**3 - 48601050*l.\nAnswer: -12*l**2 - 256816980*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.1, 78, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of -o**5\/150 + o**4\/60 + o**2 + 3. Let g(u) be the second derivative of h(u). Factor g(k).\nAnswer: -2*k*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.3 and 82187.\nAnswer: 82187.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 142 is divided by 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -5*z**2 - z - 1. Let q be m(-1). Let g(i) = -i + 4. Let w be g(8). What is the common denominator of (-85)\/w - 0\/q and -55\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 4*o - 2 + 2 + 0 + 2*o**2. Let g be p(-3). Suppose g*a - 4*f - 24 = 2*a, a - 12 = 3*f. Solve -9 = -5*h - 4*t, 4*t - 4 + 5 = -a*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(16\/4) - (-135)\/(-18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - -3. Let m = 3.3 + x. Let p = 10\/19 - 125\/57. Sort p, 3, m in ascending order.\nAnswer: p, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*l + 5*t - 0, -4*l = t - 35. Let d be (96\/(-36))\/((-2)\/3). Suppose d*w - 20 = -w. Solve -w*x + 2*x = 2*a, -3*a - l = -2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -1821*c - 475336. Calculate d(-261).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -17 + 6 - -8 - (1 - 48) - (-47 + 59).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r - 2 - 3*r**2 - 198*r**3 + 198*r**3 - 3*r**4 to the form b + w*r + z*r**4 + k*r**2 + s*r**3 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k**2 + 17*k + 12. Let p be m(-15). Let f = -100 + p. Suppose b + 2 = f. Calculate the greatest common divisor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -28048*d*y**2 - 115*d - 16*y**2 - 2707 with respect to y.\nAnswer: -56096*d*y - 32*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-31)*g\/((((g\/(g**(-5)*g))\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/(-18) + (-16)\/(-144)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 4*l = 12, 3 - 19 = -2*s - 5*l for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = u - 3*m - 3 + 11, 4*m - 4 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 + 17 + 2851*p + 2104*p - 7.\nAnswer: 4955*p + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6\/18 + (-6)\/(-9). Which is greater: p or 42\/17?\nAnswer: 42\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 222272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8286295 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**3 - 9*i**2 - i - 20. Let u be c(-9). Let s be ((-5)\/(-15))\/(u\/18). Which is bigger: s or -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 585169 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23541 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 + 0)*(2*m**2 - 4 + 4)*(20 - 20 - 20*m) in the form j*m + b*m**3 + z*m**2 + i and give b.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-18)\/(-135)*-9)\/(30\/200).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*w - 17*w + 51 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of -3*q**2\/2 - 4*q - 18. What is n(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**3 + 5*h**2 - 7*h - 7. Let l be x(-7). Let v = 12 - l. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*n + f - 899 - 473, n = -3*f + 691. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 226960 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 153*g**4 + 183*g - 18. Let y(o) = -o**4 - o - 1. Let k(j) = -w(j) + 18*y(j). Find the second derivative of k(n) wrt n.\nAnswer: -2052*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 PM and 10:12 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 6, 60, 150, 276?\n\"Answer: 18*a**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -17 - 6 + 23 - 49*d**2 in the form b*d + c*d**2 + l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in -1, 3, 29247, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from obhvy. What is prob of sequence hyb?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.06154 + 4974395.\nAnswer: 4974395.06154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 1, i: 1, k: 1, e: 1, b: 1}. Give prob of sequence kib.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 - 8*z - 17. Determine w(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 130 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0 and 0.0227?\nAnswer: 0.0227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -4*s - 3, 5*w - s + 0 = 15. Let d be (0 + -3)*4*w. Let o = d + 109\/3. Which is the closest to 1?  (a) -0.4  (b) o  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6878.93 to the nearest ten.\nAnswer: 6880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 4067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -7343*t - 4. Is r(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 4 + 1 = -b, -5*z - 35 = -5*b. List the prime factors of (b\/10 - -1)*5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**3 - 152*n**2 - 1332*n + 3240.\nAnswer: 4*(n - 45)*(n - 2)*(n + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - (-6 + 6) - (4 - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -28*n**2. Let d(p) = -131*p + 40025. What is d(q(v))?\nAnswer: 3668*v**2 + 40025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -103*l + 100*l - 150 = 0. Let y = -40 - l. Calculate the least common multiple of 66 and y.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -325539411 by 1.\nAnswer: -325539411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4947934 + 4947935.2600395. Let o = -0.06532 + 1.32532. Let z = o - s. What is z rounded to six dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 3. Suppose m = -3*o - 4*l + 14, -o = -l - 3*l - 10. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 - ((-1)\/(-3) - (-1366)\/6). Let s = p + 454. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 4*z - 25 = 5*z, -2*x + 2*z + 18 = 0. Let y be (-6)\/4*x\/(-3). Let r(a) = a**2 - 3*a + 2. Determine r(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) 61  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of 0 + 0*c**7 + 0*c**4 + 0*c - 1\/3*c**5 + 0*c**6 + 0*c**3 - 39*c**2 - 11\/168*c**8. Find the third derivative of h(g) wrt g.\nAnswer: -1320*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:32 PM and 10:27 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*t - 2*t - 2338 - 2335 + 7012 - 2339.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 10438, 18244, 26052, 33862, 41674, 49488, 57304?\n\"Answer: z**2 + 7803*z + 2634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (2 + (-50)\/24)*(-18 - -22)*0. Solve 15*x - 361 + 346 = t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 75 - 49. Let j be m\/(-8) + (-3)\/(-12). Is 1\/j - (-172)\/12 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxfxxxxxxxxxxx. What is prob of sequence xfx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 2*k**2 + 12. Let a be c(4). Is (-2)\/(-7)*(-2021530)\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -11*t**3 + t**2 + 5*t + 5. Let k be (-14)\/8*(1 - -3). Let m(l) = l + 5. Let d be m(k). Let a(o) = -5*o**3 + 2*o + 2. Calculate d*r(u) + 5*a(u).\nAnswer: -3*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q**2. Let f(i) be the third derivative of 0*i + 18*i**2 + 4\/3*i**3 + 0 + 0*i**4 + 1\/60*i**5. What is x(f(d))?\nAnswer: d**4 + 16*d**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 7823*b - 96. Let p(i) = 2*i. Determine t(p(v)).\nAnswer: 15646*v - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*-1*(-10)\/(-435).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b681a (base 12) to base 10.\nAnswer: -488470","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 (base 5) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 144 (base 14) to base 6\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -33 + 84*k**2 + 0*k**2 + 31 to b*k**2 + g*k + u and give b.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/(-4) - (-195)\/(-12). Let j = u - -163\/10. What is l in -j*l**3 + 2\/5*l**4 + 2\/5*l**2 + 0 + 0*l = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 818756878 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -0.1, -0.04, 490, -5, 2 in descending order.\nAnswer: 490, 2, 0.2, -0.04, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2268270445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/((-77)\/11))\/(-13).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 + q**2 - q - 1. Let f(z) = 5*z**3 + 3*z**2 + 229*z - 4. What is -f(o) + 4*k(o)?\nAnswer: -o**3 + o**2 - 233*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-779*z**2 - 32138*z**2 + 2799*z**2 + 4366*z**2 - 17035*z**2 - 6620*z**2)*(3*z - z - 4*z).\nAnswer: 98814*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.003 - 14.933. Let p = -3.865 - y. Let q = p - 9. Round q to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:41 AM and 4:54 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 5  (b) 686.8  (c) -1  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -2*(2 + (-35)\/10). Suppose -2*i + u*i = -3*i. Solve 3*j + 1 = -j + 5*o, -5*j - 3*o - 29 = i for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-1\/51))**0\/(o**(-45)\/o)**29 assuming o is positive.\nAnswer: o**1334","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 339 + -348 - (1 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 311585 is divided by 6491?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -284.05 and -21?\nAnswer: 5965.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 455, 457, 459?\n\"Answer: 2*v + 453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 + -1 - 6\/(-7)*(-5572)\/(-1194)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 14) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 563*f - 32 = 559*f. Calculate the greatest common factor of 102 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101100011110101011101111 (base 2) in base 8?\nAnswer: 54365357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6.9 - -4204067.\nAnswer: 4204073.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -737693 divided by 5\nAnswer: -737693\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -5*o**2. Let h(v) be the first derivative of -5*v**3\/3 - 2*v + 608. Give h(k(c)).\nAnswer: -125*c**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2345*t + 1367*t + 428*t + 130*t - 766*t.\nAnswer: 3504*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 556615 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6277 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100020 - -101?\nAnswer: -22212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.009*0.15\nAnswer: 0.00135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-24)*-6)\/((-594)\/96 + 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 6*f**2 + 6*f - 2. Calculate z(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 25606 from -1878866884.\nAnswer: -1878892490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 31558535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 29*t - 114. Let z be g(4). Suppose -5*k + z - 57 = -3*w, -k - 62 = -4*w. Calculate the remainder when ((-206)\/(-1 + -1))\/1 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:25 PM and 5:38 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2\/(-6) + 1)*2. Let y = 0.133 + -0.033. Sort z, y, -3 in ascending order.\nAnswer: -3, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2102?  (a) -1\/3  (b) -4  (c) -1\/2  (d) -2  (e) 2  (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 + 14*u**2 - 15*u - 20. What is j(-15)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -878*o**3 + 0 + 3981*o**3 + 3112*o**3 - 2.\nAnswer: 6215*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 0.55  (b) 1194\/11  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2992, -2990, -2988, -2986, -2984?\n\"Answer: 2*p - 2994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oaaaaaooaaoaaoaa. What is prob of sequence aaa?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v + 6*v + 2*v**3 - v - 4*v to the form k*v**2 + q + d*v + n*v**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 1, -14, -418, 4, -8 in descending order.\nAnswer: 5, 4, 1, -8, -14, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 154.72285 - -1435440\nAnswer: 1435594.72285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32005*0.1.\nAnswer: -3200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wywteewybwwtwwwwwytb. Give prob of sequence te.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1552 - -1552.28. Sort -3\/8, v, 0.3 in increasing order.\nAnswer: -3\/8, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -405, 0, 3, -2\/5, 1\/3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12192, -23828, -35464, -47100, -58736?\nAnswer: -70372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence my when two letters picked without replacement from {m: 1, t: 1, u: 6, y: 9, h: 2}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1036115615 is divided by 2299.\nAnswer: 2295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001269 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/154 and 129\/100570316.\nAnswer: 100570316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 238 minutes before 11:26 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -4*d**2 + 0*d - 1\/30*d**5 - 19 - 1\/4*d**4 + 0*d**3. Factor p(h).\nAnswer: -2*h*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 6:29 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.0093025 times -1.4\nAnswer: -0.0130235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.11 and -0.91.\nAnswer: 0.1001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = -155*o + 183*o. Solve 16 = -5*g + n, o*g - 3*n + 6*n = -24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 15 + (9 - 4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -58*b**3 + 1335*b**2 - 273*b + 5780. Give d(23).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 464 divide 6345664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7 + 3)\/(-4) - (-176)\/(-4). Let m = -171\/4 - b. Let w = -94.1 + 92. What is the nearest to m in 4, w, -4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 5*y**2 - 7*y - 4. Calculate c(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 AM and 7:57 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 69219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 885 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-9))\/((-32)\/(-96))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -36.6 + 37. Let a = 0.3 - r. Is a at most as big as 37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/4 and 23\/50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = -2*t + o, -2*t + 93 + 13 = o. Suppose -4*a + a = 3*i - t, -3*a - i = -47. Does 5 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 2 = 2. Suppose g*r = -5*f - 3*r + 351, -3*f + 4*r + 228 = 0. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3590 and 164.\nAnswer: 294380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q + 3. Let n be w(-3). Let h = n + -4. Solve -3*k = -4*k - h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/45)\/((-180)\/450)*354\/4?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t**4 - 25*t**3 + 40*t**2 - 20*t = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-12)\/(-8))\/((-1)\/(-18)). Let l = -2 + v. Calculate the remainder when l is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 92955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s = -119*l + 118*l - 32, -3*s - 9*l = -104*l - 3996 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 1 = -16. Let q(t) = t**3 - 6*t**2 + 5*t + 7. Calculate q(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-4)\/(b*b**(2\/11)))\/(((b*b*b\/(b*b**(-3\/2))*b)\/b)\/b**(1\/4))*(b\/(b*b**(1\/3))*b)**33*b**(-2\/17)\/b**(4\/3) assuming b is positive.\nAnswer: b**(27191\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37927 is divided by 2455.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 16 = -8. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 8 = 0, 5*t - 4*o - 27 - 26 = -33 + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 8, 1, -4, -1055, -2.\nAnswer: -1055, -4, -2, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**3 + 63*c**2 - 60*c.\nAnswer: -3*c*(c - 20)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*x**2 - 31*x + 31*x + (5 - 5 - 4*x)*(-2*x - 3*x + 6*x))*(-3*x**3 - 3*x**3 + 4*x**3).\nAnswer: 36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4051\/7 - 576. Calculate the common denominator of u and 121\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 335524 divided by -2.\nAnswer: -167762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - 5316766.\nAnswer: -5316770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -33 - -51. Suppose -32 = -3*j - u, -18*j + 81 = -11*j - 4*u. Solve 5*v + p = j*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -3079*s**3 - 2*s**2 - 5*s - 4. Let p be f(-3). Suppose -2*g = -7726 + p. What is g rounded to the nearest 1000?\nAnswer: -38000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194 minutes before 1:28 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the second derivative of 11*k**3\/3 + 77*k**2\/2 - 3*k + 3. Let d be q(6). Let g = 30 + -11. Calculate the highest common factor of g and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1.2 or 5133?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, l: 4, c: 2, j: 2, p: 1}. What is prob of picking 1 c, 1 q, and 1 l?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 5*-2*(sqrt(10)\/sqrt(2)*-2 + sqrt(35)\/(sqrt(21)\/sqrt(3)) + (sqrt(605) + (sqrt(605) - (0 + sqrt(605))) + -3)**2) + 4.\nAnswer: -6135 + 670*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.01, 8, 2\/11, -17?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*t + 5*w - 2, -5*t - 5*w = -10. Suppose t*b - y = 1, -5*y = -b - y + 4. Solve -f + 2 - 4 = b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6 + -4. Let x(l) = -4*l**4 + 2*l**3 + 4*l**2 - 4. Let n(u) = u**4 + u**2 - u. Let s(t) = k*n(t) + x(t). Let s(j) = 0. Calculate j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 768 and 6156736.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3846, 3885, 3994, 4209, 4566, 5101, 5850?\nAnswer: 6849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3073 divide 316519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14399, -4, 0, -11, -1, -5, -2 in descending order.\nAnswer: 14399, 0, -1, -2, -4, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = -u**3 + 11*u**2 + 2*u + 5. Let n be k(5). Let a = 165 - n. Solve -11 = q - 0*q + 2*z, a = 5*q + 2*z + 23 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 15\/4 of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(18*10\/(-3060))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ttttttt. What is prob of picking 4 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/21)\/(44*(-195)\/(-50050)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 20269616 a multiple of 634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 903218*u**2 - 902*u - 481.\nAnswer: 1806436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2252*a*c**3*n + 16*a*c + 3*a*n + 35215*a - 2*n - 1 with respect to c.\nAnswer: 6756*a*c**2*n + 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7 + -11 - (-207)\/3. Let a be -4*(d\/(-20))\/(-1). Let f = 5 - a. Calculate the smallest common multiple of f and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6912066 and 308738948?\nAnswer: 926216844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(1\/17)*i**5*(i*(i*i*i**8*i*i*i*i)\/i)\/(i**(-5\/7)\/i) assuming i is positive.\nAnswer: i**(2472\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 255481988?\nAnswer: 2, 41, 67, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.06, -0.4, 5, -3\/7, -0.021.\nAnswer: -3\/7, -0.4, -0.021, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -56\/3 and 4\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1131342 - 340323?\nAnswer: -2022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 6\/8*(-3 + 7). Solve -k = -a - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4201.9 to the nearest 100.\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the second derivative of -u**8\/960 + u**7\/1260 + 3*u**4\/4 - 6*u. Let q(m) be the third derivative of g(m). Find the third derivative of q(b) wrt b.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4767705853 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/54?  (a) 2\/77  (b) 3\/4  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (53 - 5) + 0\/2. Let z = b - 32. What is the least common multiple of z and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1940795317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4\/37 - 62\/111. Let m = 37.1 + -95. Let u = m + 58. Which is the second biggest value?  (a) 4  (b) s  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -436526*o**6 - 41851*o**2 wrt o.\nAnswer: -52383120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11.00002 - -11. Let r = 0 - y. What is r rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 196*a - 290 - 873 - 820*a + 68*a + 128*a wrt a.\nAnswer: -428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -221.98 take away -0.2?\nAnswer: -221.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes before 5:03 AM?\nAnswer: 5:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1278904 is divided by 759.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand d - 3*d + 4*d + (-3*d + 3*d - 2*d)*(-4 + 4 - 2) + 1 - 2*d - 1 + (-2*d - 2*d + 6*d)*(1 - 3 + 3) - 2*d - 2*d + d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*h**4*l*y - 3450690*h**3*l*y - h**3*l + 10*h**2*l*y - 553*h**2*y - 20*h + 22*l*y wrt h.\nAnswer: 72*h*l*y - 20704140*l*y - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 396\/(-660)*(-5)\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42304316 is divided by 1199?\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 48147112061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qccq when four letters picked without replacement from qqqcyqyqqyyqqqqcqc?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9418839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1885 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*p - 3*p + 24. Suppose -7*x + y - 118 = -12*x, 58 = p*x + 4*y. Calculate the remainder when x is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16083.\nAnswer: 3, 1787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 280309\/35 + -8008. Let f = y + -3\/7. Is f at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -9*o + 131. Let w be n(20). Let u be (-42)\/w + 140\/(-49). Which is the closest to u?  (a) -0.21  (b) 3  (c) 1\/5  (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -2, -14, -30, -44?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r**2 - 4*r - 3. Let d be t(5). Let m = -81 + 113. Let u be (21\/(-12))\/(4\/m*-2). Solve 0 = -u*o + d*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1693 - 1692. Let l = 0.249 + 0.051. What is the closest to a in -19, 0.4, l, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14592349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -345*s**3 + 116*s**3 + 119*s**3 + 111*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*k - 5*z + 20, 199*k = 198*k + z + 3 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 38*p. Let h(m) = 449429*m. Calculate y(h(v)).\nAnswer: 17078302*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 59  (b) 4  (c) 0.1  (d) -3\/106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 962 a factor of 10777021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1\/119 + 261\/2737. Is l > 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + f - 11 = 0, -2*q + q + 14 = 4*f. Let z(y) = 17*y**q - y - 7 + 4 + 25*y**2. Is z(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*k + 792 = -18*k. Suppose -5*f + 2*f = -9. Suppose 0 = -f*d - 15, -2*w - 5*d - 3 = -w. Calculate the greatest common divisor of w and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -27055, -54118, -81181, -108244, -135307, -162370?\n\"Answer: -27063*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2786\/57 - -44222\/855. Let g = 22\/9 - l. Sort -0.3, g, -1\/2 in descending order.\nAnswer: -0.3, g, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 47456640 by -2.\nAnswer: -23728320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 8 (base 16) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a hour in seconds?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2629166623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/16*(-164)\/2. Is (o\/123)\/(1\/(-7899)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 35\/28*12\/18?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.682 rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {b: 6, q: 1, n: 4, j: 6, k: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/1688 and 131\/3671400.\nAnswer: 3671400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001047 to seven decimal places.\nAnswer: -0.0000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 40.6 and -0.5.\nAnswer: -20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 15*v - 5. Let r(d) = -7*d + 2. Suppose 11*t - 19*t = -32. Let g(p) = -p**3 - 24*p**2 + p + 33. Let i be g(-24). Give i*r(w) + t*o(w).\nAnswer: -3*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 8 = -5*l, l = -4*n + 3*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 319 + -199660.\nAnswer: -199341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -33423 + 1?\nAnswer: -33422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 99834.63 litres in millilitres?\nAnswer: 99834630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 979 and 801.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 5*i**2 + 6*i. Let g be y(6). Suppose -d + g*d = 0. Suppose -4*t + 8 = d, -p + 3*t = -2*p + 28. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the third derivative of -d**4\/12 + 7*d**3\/3 - 2*d**2. Calculate the remainder when i(0) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -485 - 119*k**2 + 125*k**2 + 485. Let w(p) = 258*p**2. Calculate w(v(s)).\nAnswer: 9288*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3243 + 3348. Calculate the lowest common multiple of y and 42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + -3. Let c(a) = 2 + 6*a - 5*a + 7 + b. Let z be c(-7). Solve -3*q + 1 = -z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*s**3 - 1516*s**2 - 290290*s - 1137032 = 0. What is s?\nAnswer: -377, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*l + 170 = -21*l. Suppose 0 = 6*x + 10 - l. Let j(y) = 7*y + 9 - 14 - x*y. Determine j(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - s = -3, t + 1 + 2 = s. Suppose 4 = -4*x - 5*f - 0, 0 = -x + f - 10. Let d be 8\/12 + 4\/x. Solve 4*g = -t + 4, -5*i - 2*g + 2 = d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) be the third derivative of -g**5\/60 - 11*g**4\/24 - 2*g**3\/3 + 1081*g**2. What is z(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5235 + -353?\nAnswer: 4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 2*w - 14, s = -s + 5*w - 8. Is 28\/s*12 + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -51*g + 31. Calculate q(1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -190, -263, -388, -571, -818, -1135?\n\"Answer: -d**3 - 20*d**2 - 6*d - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41773771?\nAnswer: 13, 31, 103657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 16 and 30488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 199*b**3 - b**2 - 3*b + 3. Let t be (-38)\/266 - ((-16)\/14 - 0). Is z(t) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 19*c**2 - 581. Let r(w) = -1871*w. Calculate b(r(q)).\nAnswer: 66512179*q**2 - 581","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 468*v + 567 - 567 + (-3 + 2 - 1)*(-3*v + 6*v - 4*v) - 4*v + v + 2*v + (-2 - 1 + 2)*(-4 + 4 + v).\nAnswer: 468*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 870668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 97 - 125 - 34 - u - 42.\nAnswer: -u - 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 92 and 433182?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61*d**3 - 3*d**2 + 3*d**2 + 63*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 3690*q - 1955. What is the thousands digit of l(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 2*j = -14, -m + 3*j = 2*j + 1. Suppose -3*o + 20 = -5*f, -4*o + 5*f + 20 = -m*o. Suppose o = -57*l + 47*l + 50. Solve l = 2*w - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -15*c + 47*c - 32. Let d = -246 - -148. Let a be (d\/(-8))\/7 - c. Which is greater: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4*z = -3*o + 19, -4 = -3*o + 5*z. Suppose -53 = -o*p + 4. Suppose -2*t = -5 - p. What is the highest common divisor of 132 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:29 PM and 8:31 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -7*o. Let b(u) = 627*u - 23. Calculate b(v(a)).\nAnswer: -4389*a - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7, 3, 13, 23, 33?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 11222201 (base 3) to base 7\nAnswer: 13414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvaaaavaavvvax. What is prob of sequence ax?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -6\/5, 443, -2, -20, 2 in increasing order.\nAnswer: -20, -2, -6\/5, 2, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2.2 - 1.2. Let y be -3*1\/9*3. Which is the nearest to u?  (a) -1\/7  (b) y  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 4) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 79 + -109 + -5*-1*(3 + -2). Let a(y) = y**3 + 26*y**2 + 22*y - 53. Give a(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185041804 to the power of 1\/2, to the nearest integer?\nAnswer: 13603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of -2*l**3 - 249. Let f(y) = 191*y. Give g(f(i)).\nAnswer: -218886*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jcbkkctckcgt. What is prob of sequence kbtj?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-57)\/(-6) + 2\/(-4). Suppose -d - 3*d + 2 = 2*n, -5*d - 1 = 2*n. Solve 0 = 3*f - 3*b - w, -15 = -f - 3*b + n*b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -19982073 and 0.904.\nAnswer: -19982072.096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbvvbbbb. What is prob of picking 4 b?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o**2 + o - 5. Let t = -5 + 6. Let r(f) = -2*f - 2 + 3 + 0*f + f + f**2. Let a(d) = t*r(d) + c(d). What is the first derivative of a(v) wrt v?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -60.3 and 6.\nAnswer: -361.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71.80017um to nanometers.\nAnswer: 71800.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*y**3 - 5*y**3 + y**3 - 49.\nAnswer: -y**3 - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000009135 rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20) - (-5 + -4 + sqrt(20)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i - 20. Let m be y(-10). Solve -5*k + 1 + 4 = m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115786 is divided by 54419?\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 5.947422 + -5.91. What is m rounded to three decimal places?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -75, -43, 11, 87?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes after 6:51 AM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 181 - 5. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1ba - 43?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 2*n - 20. Determine y(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 3*l - 250 = 103, -5*l + 135 = 2*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the first derivative of 7*j**2 + 7*j - 206. Let l(k) = -9*k - 5. Calculate -5*f(z) - 8*l(z).\nAnswer: 2*z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = -0*n - 36. Let z = n - -48. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4517177*m**3 - 4872*m**2 + 40?\nAnswer: -27103062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, t: 12, x: 2, d: 1, i: 2}. Give prob of picking 1 t, 1 r, and 1 i.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {w: 2, l: 1, p: 6, g: 2, k: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-22)\/(-902)*(-6 - 160).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = g - 5*y - 0 - 22, 3*g = -2*y - 19. Sort -2, -1, 50, g.\nAnswer: g, -2, -1, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -13141\/8 - -1640. Suppose 2*k = 2 - 4. Find the common denominator of n and 1 - ((-33)\/(-4) + k).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -5*i**3 + 12*i**2 - 9*i + 2. Calculate c(4).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14012.\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 p when two letters picked without replacement from pzpzpzp.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 57621 to the power of 1\/2, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the third derivative of w**4\/12 + 9*w**3 - 563*w**2. Determine a(-20).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/3)\/(-2)*3. Suppose 6 = f + u. What is the third derivative of 0*z**2 + z**2 - 3*z**2 + 4*z**2 + 3*z**f wrt z?\nAnswer: 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 2*m + 10 = 0, 3*m = 4*i + i - 7. Suppose b - c = 7, -5*b + 31 + 19 = -i*c. What is the greatest common divisor of b and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, n: 1, u: 8, f: 5}. Give prob of sequence fun.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 44441010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 256*h**3 - 476*h + 1247. Differentiate n(r) wrt r.\nAnswer: 1536*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54928 to the power of 1\/2, to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 311157 and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -425.6.\nAnswer: -127.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = 16*s - 15*s - 5, s - a + 1 = 0. Let w(b) = b**3 - 5*b**2 + 5*b - 2. Let d be w(3). Let h be s - 6*d\/10. Do h and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 3*s**2 - s + 40. Is h(-8) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of 584*w**3\/3 + 2008. Let a(k) = 5*k**2. Calculate m(a(g)).\nAnswer: 14600*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1067 - 1063. Solve -24\/5 + 18\/5*i**2 - 3*i**3 + 3\/5*i**q + 12\/5*i = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*y**2 + (-2 - 1 + 1)*(-1 + 1 - 2*y**2) + 3*y**2 - 3*y + 3*y - 5 - 2*y**2 + 5 - 5*y**2 + 5*y**2 + 6*y**2 + 5*y**2 - 3*y**2 + y**2.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 91*y + 28*y - 49*y in the form t*y + c and give t.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2147547335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.9248 + -1.4187. Let r = 0.0061 - t. Let q be 2 - (-1 + 84\/27). Which is the third biggest value?  (a) 1\/12  (b) q  (c) r  (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {i: 1, x: 1, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 208 and 6240.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 - 53*g + 89. Is q(-48) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6044, -24564, -55460, -98732, -154380, -222404?\nAnswer: -302804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 3 - 3\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express x**3 + x - 6 + 154*x**4 + 4 - 155*x**4 - 2*x**2 as i + u*x**4 + j*x**3 + t*x**2 + g*x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1133 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s - 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.3  (b) 13  (c) -24  (d) 1\/10  (e) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2622.4 - 4760.\nAnswer: -2137.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(972))\/(sqrt(81)*6).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**5 + 3665*q**4 - 3963283*q**3 + 1330457743*q**2 + 5369507728*q + 5385419548 = 0. Calculate q.\nAnswer: -2, 811, 2047","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2531 - 4*u - 1465 - 4*u + 7*u.\nAnswer: -u + 1066","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -5) + 0 + (2 - 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 984 + -983.7349. Let l = -0.0879 - t. What is l rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -111311021322 + -2?\nAnswer: -111311021330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1478 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + i + 33 = 0, -i = -5*p - 2*i + 189. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6511 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -23036 + 21687. Is -1349 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (27 + -2 + -5)\/(-19 - -20)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 589 is divided by 572.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**3 + 7*m**2 + 3*m + 23. Let b be y(-6). Let g = b - -129. What are the prime factors of g?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = f - x - 14, f = -x + 8. Let -2*u**2 - f*u - 125 - 3*u**2 + 15*u + 40*u = 0. What is u?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*y = 62*y - 21*y - 225 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -67.5188 + 62.6. Let g = d + -0.0092. Let f = g - 0.072. Which is the nearest to 0?  (a) 4  (b) -1\/3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = 3*i - 11, 2*i - 2 - 8 = -2*z. Suppose -6259 = -q - 2*c + c, z*q + 3*c - 25037 = 0. Suppose 5*s - s = q. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 + 2)\/(-6 - -5). Let q = -9 - -29. Let p = q + r. Calculate the highest common divisor of p and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k - 2*k + 2*k)*(-813 + 266 - 10096 - 2123).\nAnswer: -51064*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uuuuuutuuuuuuouu. Give prob of sequence ou.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 5*k**2 - 4*k + 7. Let b(d) = -2*d + 5. What is the lowest common multiple of c(0) and b(-7)?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -716*q**3 + 302*q**3 + 129*q**3 + 284*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7628.5 - -7628. Let r = 6 - 5.93. What is the closest to 0 in 0.1, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 22*-1*(-2)\/4. Let b be 21 + (-3)\/(-1) + -3. Let f be (2 - -2 - 3) + b. Calculate the greatest common divisor of f and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1823 (base 12) to base 15.\nAnswer: cdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = t - 570. List the prime factors of t.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -95, -724, -1353, -1982, -2611?\nAnswer: -3240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = 5*s - 15, g - 271*s - 3 = -276*s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3 - -1. Suppose -2*p + 24 = d*p. Solve -2*u - p = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 21.8 - 1820.8. Let q = -2042.6 - p. What is q rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 290283951 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: Is (1 - (-118491)\/2)\/((-206)\/(-412)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**2 - 13*x + 19. Determine t(-13).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -30, -165, -456, -963, -1746, -2865, -4380, -6351?\n\"Answer: -10*f**3 - 18*f**2 - 11*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 29331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express r - 11*r**3 - 2*r + 2*r**2 + 9*r**3 + 8*r**4 as n*r**4 + a*r**2 + s*r + l + q*r**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*f**4 - 22103*f + 8*f**3 + 22103*f - 2 in the form v*f + l + w*f**2 + u*f**4 + h*f**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.8386703 to 1 decimal place.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23 - 10. Suppose 0 = 6*j - 9*j + 243. Suppose -7*b + j = 32. Solve 5*p + b = -g for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the second derivative of -b**3\/6 - b**2\/2 + 3*b + 5. Determine l(11).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 305 - 35. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1904 + 13313. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 18*g**3*v**3 - 13*g**3*v + 21*v**3 + 10*v wrt g.\nAnswer: 54*g**2*v**3 - 39*g**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-64)\/(-12) - 139\/(6394\/276).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 546322 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10230 and 112530?\nAnswer: 112530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 9:19 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1309544?\nAnswer: 2, 17, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1584 - 0.14. Let t = 0.02081 - p. Round t to four dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 0.093.\nAnswer: 0.0279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 188.15 + 12384.98?\nAnswer: 12573.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - -1 - (-2 + 9 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/(-22) + (10724\/(-44))\/7. Let x = h + -95. Is x at most -130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45304 - -45306. Let y(s) be the second derivative of -7*s + 7\/2*s**x - 1\/6*s**3 - 4. Determine y(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 3*k - 4 = 0, 4 = 3*a + k. Suppose 12*u + a*u - 182 = 0. Let q(c) = c**3 - 11*c**2 - 5*c - 11. What are the prime factors of q(u)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -4*(18243\/(-2592) + 7) and -71\/384.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:23 PM and 9:03 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, l: 2, s: 2, o: 1}. What is prob of picking 2 s and 1 o?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1017, 1881, 2597, 3165, 3585, 3857?\n\"Answer: -74*a**2 + 1086*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3306, -3299, -3286, -3267?\nAnswer: -3242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - 4\/(-12))\/((-6)\/(-6399)). Is 19 a factor of m\/10 + (-92)\/(-115)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -62*a = 25*a - 31233. What is the remainder when a is divided by 92?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 7667, 3, -14, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -4  (b) 1.6  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1296 - 2486 = 31*u. Let y = u - -622\/5. Factor y - 2*v + 2\/5*v**2.\nAnswer: 2*(v - 3)*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -40*l + 35*l + 2875. Let s = 587 - l. What is the lowest common multiple of 156 and s?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 28079\/23359 - -53\/1988. Let l = y + 1\/47. Is l equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 16 = i, 32*z = -i - 862 + 288 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 2*n**2 + 1 - 9*n - 5 + 11 - n**2. Let c be t(8). Is 10 a factor of ((-2)\/(-4) + -2 - c)*-180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, u: 5, j: 1, d: 1, s: 2, x: 2}. What is prob of sequence usj?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**3 - 6*k**2 + k - 3. Let m be x(6). Suppose 3 - 6 = -m*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -4*n + 9. Let d(b) = -4*b + 4*b - 56623 + 56615 + 4*b. Give -6*d(p) - 5*r(p).\nAnswer: -4*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (5 - 35\/11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*m*s*y**2 + 370*m*s*y + 509*m*y**3 - 8*m - 2*s*y**3 + 11*s*y wrt y.\nAnswer: -8*m*s + 3054*m*y - 12*s*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.4 + 2.3. Let f = -2 + -2. Let g = 1 - 0.9. What is the second smallest value in f, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10526*y + 10552*y = -390. Let v(z) = z**2 + 18*z + 21. What is v(y)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4\/6 - (-4)\/(-6). Solve 4*c + 12 = -k*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.16766 weeks in milliseconds?\nAnswer: 42437400768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v. Let x(k) = -69*k**2 - 32*k - 1. Calculate x(a(d)).\nAnswer: -69*d**2 + 32*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2518.7 - 2519. Let x = 5.2 + -8.2. Sort r, -0.4, x in decreasing order.\nAnswer: r, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -4*o - 72. Suppose -4*c = -5*y - 60, 0 = 3*y - 488*c + 484*c + 28. Calculate j(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -35 <= -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 371, 0, -5, 2, -2.\nAnswer: -5, -2, 0, 2, 371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-42)\/(-546) + (-51)\/(-351).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/16*56 - 9\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.07944ns in microseconds?\nAnswer: 0.08507944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/1093824 and 31\/178293312.\nAnswer: 178293312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 9*q**2 + 7*q + 7. Let i be (68\/102)\/(4\/42). Let b(l) be the first derivative of -2*l**3 - 5*l**2\/2 - 5*l - 221. Calculate i*b(t) + 5*p(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(220)\/(1*sqrt(5) + sqrt(5))*2 + -3 + -1.\nAnswer: -4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - 16*q**2 - 24*q + 34. Let d be s(17). Let r = 39 + d. Let z = r - -45. Is 4\/31 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2)*v\/(v\/(v*v\/(v*v\/(v\/(v\/(v**(-4\/13)\/v)))*v))*v))\/(v**(2\/93)*(v\/(v**17*v))\/v) assuming v is positive.\nAnswer: v**(15319\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**2. Let o(r) = -7*r**2 - 5. Let p(t) = 4 + 4*t**2 + t**2 + 0*t**2 + t**2. Let x(w) = 4*o(w) + 5*p(w). What is h(x(s))?\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 414 a factor of 1261902123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(-7)\/(m**(-2\/3)\/m))**(-50))**(-5) assuming m is positive.\nAnswer: m**(-4000\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 85338053, 85338050, 85338047, 85338044, 85338041, 85338038?\nAnswer: 85338035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = n - 10. Let o be m(13). Suppose 0*g - 3*g = -o. Sort g, 2, 5.\nAnswer: g, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) + sqrt(133)*1*6)\/(2*sqrt(567)).\nAnswer: 7*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.4 + -5.5. Let r = -7.9 - k. What is the second smallest value in r, -0.4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -361*n + 270*n + 1050*n - 16303 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 504 and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8 - 35\/10)*(-8)\/(-6). Solve -5*o + w = -9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11439.\nAnswer: 3, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 159, 244, 341, 456, 595, 764?\n\"Answer: j**3 + 78*j + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of -q**6\/120 + q**5\/30 + q**3\/3 - 2*q**2. What is the remainder when 64 is divided by k(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2952316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 - 608*s + 72120. What is u(161)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.47 - 0.47. What is the third smallest value in h, -2\/11, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kejkjkkkkkkjeeekkk. Give prob of sequence kk.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + (sqrt(26) + 1*sqrt(26))\/sqrt(2)*-1 + -2 + 3.\nAnswer: -2*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3935450*w**3 - w**2 - 4*w + 7178054?\nAnswer: 23612700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 486242253 to the nearest integer?\nAnswer: 22051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bjbj when four letters picked without replacement from {b: 7, a: 1, j: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 5788.351 grams?\nAnswer: 5788351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 44706 and 228?\nAnswer: 1698828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 0.5  (b) 1\/8  (c) 0.11  (d) 1\/12  (e) 251  (f) -0.15  (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 21, 37, 13, -45, -131, -239, -363?\n\"Answer: v**3 - 26*v**2 + 87*v - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -268359453719 + -4\nAnswer: -268359453723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -16339 + 65371\/4. Solve 39\/8*j - g*j**2 - 9\/8 = 0 for j.\nAnswer: 3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/5*(-260)\/208.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.22592 to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 8 = 3*p - 12, 3*d = p - 10. Solve -p*c + 4*n = -40, 20 = -5*n + n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 146469 divided by 85.\nAnswer: 146469\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 220443561, 220443560, 220443559?\n\"Answer: -m + 220443562","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16803039 to the power of 1\/3, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -503*w - 37 + 37 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.07*-372591\nAnswer: -26081.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**(4\/5)*o)\/o**(-2)*(o**1)**(-14\/3))\/(o**(-7)*o**(-3\/2)\/o)**(1\/2) assuming o is positive.\nAnswer: o**(233\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 518 - 4564 = 90*g - 176 for g.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 25 - 13. Solve 2*m - f = -4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9677 and 86.\nAnswer: 832222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/532 and -87\/28.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + 5*s - 2*s + 25, 32 = 4*i + 4*s. Calculate the highest common factor of 56 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(704) + sqrt(704)*-2 + sqrt(704) + sqrt(704) - sqrt(704) - 1*sqrt(704)*-2)**2 + 4)*3*-2.\nAnswer: -16920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*h**5 + 705*h**4 - 31974*h**3 - 248214*h**2 - 548631*h - 333099 = 0. What is h?\nAnswer: -3, -1, 73, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (9 - 7)\/(1\/6). Let o = p + 11. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -36 + 41. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*u + 55 - 39 = 0. Factor -16\/9*w**3 - 2\/9*w**4 - 4*w**u + 6 + 0*w.\nAnswer: -2*(w - 1)*(w + 3)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -552966800 to the nearest one hundred thousand.\nAnswer: -553000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 24 + 57 + 12 + 28 + 10 + 225377*r. Let f be g(-3). Round f to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 319 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 551799261 to the power of 1\/2, to the nearest integer?\nAnswer: 23490","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -101, -953, 4 in increasing order.\nAnswer: -953, -101, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*n**5 + 30758965*n**4*y - 2*n**2*y + 10446*n**2 - n*y + 2*n + 17*y - 3 wrt n?\nAnswer: 240*n**2 + 738215160*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -327*m + 1 = -326*m. Let b(i) = -4*i**3 - i**2 - i + 1. Determine b(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -23, -43, -59, -71?\n\"Answer: 2*s**2 - 26*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (10 + 6 + -2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8020498?\nAnswer: 2, 17, 419, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 531367107 a multiple of 308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 396061?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**4 + 512*k**3 + 16668*k**2 + 148176*k + 394416.\nAnswer: 4*(k + 6)**2*(k + 33)*(k + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (14 - 15) + 2 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 18.9931397 rounded to two decimal places?\nAnswer: 18.99","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62516 is divided by 49.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 15363961 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -14, 1 in increasing order.\nAnswer: -14, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 100*a**4*q**2 + q**2 - 9 wrt a?\nAnswer: 400*a**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3284 in 5, -0.53, -25, 1\/2?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of -25\/2*o**2 - 1\/12*o**4 + 1\/20*o**5 - 40*o + 0 - 1\/6*o**3. Give k(0).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1993536?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9419 + -9430. Sort -2\/5, -4, 1, d in ascending order.\nAnswer: d, -4, -2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3471877 a multiple of 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/(-9) - 200\/(-12). Suppose -m = -2*z - 9, z - c = -5*m + 4*z. Suppose -2*w = -w + m. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 6 = -1. Let a be (-9)\/21 + 486\/m. Suppose 4*u + n - a = 0, 0*u - 4*n - 44 = -4*u. What is the highest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1416 and 752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00248 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3220 + -3203 - ((2 - -54) + -2 + -1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -b**2*d**3 + 5*b**2*d**2 + b**2*d - 3*b*d**4 - 14*b + 2*d**5 wrt d.\nAnswer: -6*b**2 - 72*b*d + 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2 - 2)*(-5*a**2 + 308*a - 308*a + (-156 + 14*a + 156)*(4*a - 2*a + 0*a)).\nAnswer: 46*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 + 9*a - 25. Suppose -14 - 4 = -6*r. Let k be z(r). Sort -1, 5, k.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5 + (506 - (-9)\/((-90)\/(-40))). Calculate the greatest common divisor of f and 1751.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n - 2. Let p be a(-6). Let i be p*(27\/2 + 1). Suppose -i = -3*u + v - 6*v, 0 = -4*u - 4*v + 64. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -47, -43, -39?\n\"Answer: 4*r - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 52264760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*k + 66 - 76. Let h(i) = 49*i**2 - 1. Calculate h(k).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 - 11*p**2 + 9*p - 13. Determine v(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.3908 to two decimal places.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1282750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 37333.62 micrometers?\nAnswer: 0.00003733362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3 - -3. Suppose o = -r - r. Solve r = w - 2 + 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 - 1*(-1 - 1). Let d = -1 - m. Find the third derivative of y**3 + 8*y**2 + 0*y - 9*y**2 + d*y wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -4*d**2 - 935000*d - 23372500 = 0.\nAnswer: -233725, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 15390754223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -3789?\nAnswer: 1\/3789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-40))\/(((-799)\/(-952))\/(-47))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*q**4 - 56*q**3 - 170*q**2 + 516*q - 288 = 0. What is q?\nAnswer: -24, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 529790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 9*p**3 - 5*p + 29 wrt p.\nAnswer: 27*p**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.011854 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the third derivative of j**7\/2520 - j**5\/30 + 3*j**2. Let o(z) be the third derivative of x(z). Let g(c) = 2*c. Give g(o(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m - 4*m + 5*m)*(-1 + 5 - 3)*(m - 5 + 5).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2372, -98, 0.1, -72.\nAnswer: -98, -72, 0.1, 2372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 7*c + 9. Let u be a(8). Suppose -z + u = 11. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/(-68)*-9*16\/48?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5762\/5 - -1152. Which is the third biggest value?  (a) t  (b) -0.02  (c) 1\/47  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 69\/12*(-1 - -1697)\/8. Let v(b) = 1219 + 4*b - s. Let t(u) = -20*u**2 + u. Determine v(t(w)).\nAnswer: -80*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -94, -183, -268, -349, -426, -499, -568?\nAnswer: -633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 5*-0.02\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 16400.58 months?\nAnswer: 1.366715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -119 - 185. What is the smallest common multiple of 20 and l*16\/(32\/(-4))?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-13)\/(-13))\/((-2)\/(-10))*7 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -2*a + 77. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 4*v - 29. What is the remainder when v is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 PM and 1:34 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a + 178 + 26. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2954678 is divided by 54.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.16 + 13.84. Let f = -259578.146 + 259592.1459901. Let a = p - f. Round a to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -84 - 117. Let j = 301 + l. List the prime factors of (-20)\/j*905*-1.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of -m**7\/35 - 107*m**4\/8 - 634*m**3 - 412*m**2 - 5*m - 2. Differentiate s(y) with respect to y.\nAnswer: -24*y**3 - 321","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -10589159 and 61.\nAnswer: -10589098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -513 - 2*g + 1978 - 446 in the form c + i*g and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-3)\/2)\/((-6)\/(-8)). Let q(f) = 2*f - 21. Let m(y) = 303*y - 90*y + 21 - 214*y. Let p(t) = v*m(t) - 3*q(t). Find the first derivative of p(b) wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 192370.\nAnswer: 2, 5, 19237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 428 - 431. Let o = 0.2 - 0.4. Let v = 0.1 + o. Sort v, f, 2\/15 in ascending order.\nAnswer: f, v, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1 - -9)*(-4)\/8. Let l = -1.01 - -1.71. Which is the second biggest value?  (a) l  (b) h  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + 3 - 1 - 1 + 3 + (2 - 5 + 4)*(-1 - 1 + 3) + 1 - 9 + 10)*(0 + 0 - b)*(2*b**2 + 0 + 0) as z*b + h*b**2 + g + u*b**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v**2 - 1 + 1)*(-6*v + 4*v - 2*v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 275524026?\nAnswer: 2, 3, 461, 99611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 22 - ((-5 - 11 - -11) + 16)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 193424, 193373, 193270, 193109, 192884?\nAnswer: 192589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -110*u + 22. Let l be g(-5). Suppose 3*c = 5*y + l, -10 + 1030 = 5*c + 5*y. Calculate the remainder when c is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 20*f + 82 = -25*f, -4*q - 3*f = -119. What is the remainder when q is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 13, 0.4, -1873, 0.1?\nAnswer: -1873","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - 8\/16*(9 - 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-357)\/7735 - 10115\/(-120575)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111010010010 (base 2) in base 3?\nAnswer: -12010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 - 5*o + 2. Let d be m(-6). Let x be (d + 5)*0\/(-1). Let b(f) = -f**3 + f**2 + f + 16. Calculate the least common multiple of b(x) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2583, -10816, -24537, -43746, -68443, -98628, -134301?\nAnswer: -175462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1200012 + 2120120?\nAnswer: 320102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21*k**3 - 82*k**4 - 87*k**4 - 1061*k**2 + 6604*k**2 - 30*k**3 wrt k.\nAnswer: -4056*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.3, -51, 0.23 in increasing order.\nAnswer: -51, 0.23, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 33767*g - 168837. What is z(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o**3\/25 + 10362*o**2\/25 + 4142*o\/5 - 31074\/25 = 0. Calculate o.\nAnswer: -5179, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35112.\nAnswer: 2, 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 17450 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -231607, 1, -194 in decreasing order.\nAnswer: 1, -194, -231607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 52  (b) -1  (c) 0.2  (d) 0  (e) 14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 30*f**2 + f + 1. Give c(1).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 799723935?\nAnswer: 3, 5, 151, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*(n*n**(2\/7)*n)\/n*n*n*n**1)**(6\/7)\/(((n\/(n**2\/n))\/n**5)\/((n**1*n)\/n)**(2\/9)) assuming n is positive.\nAnswer: n**(4301\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4 or -1169\/263?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 8, q: 3}. Give prob of picking 3 q.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*g - 2071 = 12*g. Suppose v - 6 = -v. Suppose -5*h - w = -131, -v*h + g = 4*w + 27. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence htth when four letters picked without replacement from {t: 3, h: 3, y: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (567\/28)\/(-9)*640\/(-1680)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -x**2 + 24*x + 52 = 0.\nAnswer: -2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the third derivative of 1\/24*t**4 - 1\/6*t**3 + 0 + 0*t + t**2. Suppose -51*c + 47 = -158 + 1. Let n(d) = 3*d - 4. What is c*v(j) - n(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuguhuuuu. What is prob of sequence uuug?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -3)\/((-4)\/(-32)*-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*i**2\/13 - 1345174788*i\/13 - 25131877920428402\/13 = 0.\nAnswer: -112097899\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 107 + -108. Which is greater: -2\/31 or j?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2254877797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -65 - -74. Put i, 3, -2, 0 in ascending order.\nAnswer: -2, 0, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 - 42*s**2 + 2*s + 220. Let i be t(-42). What is the highest common divisor of i and 1054?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38*k**2 + 174*k + 32*k**2 - 158*k to the form i + p*k + g*k**2 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 4. Suppose -5*p = 3*d - 3, 2*d + 2 = -0*p - 2*p. Suppose -2*i + 7 = -p. Calculate the least common multiple of i and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = 2*z - z - 3, -m = -4*z + 15. Suppose 0 = -5*q - 4*x + 1240, z*q - 5*x - 190 - 843 = 0. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 117216, 234753, 352290, 469827?\nAnswer: 587364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(76) + 0 + 5 + sqrt(76) - 5*(-1 + sqrt(76))))**2 - ((-5*(sqrt(76) + sqrt(76) + sqrt(76) + 0 - sqrt(76)) - sqrt(76)*1*-3) + 2)**2.\nAnswer: -3019 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (8 - -2 - 13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 8930.538 nanoseconds?\nAnswer: 0.000008930538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 461794.\nAnswer: 2, 23, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the first derivative of w**6\/40 - 5*w**4\/24 - 4*w**2 - 5. Let o(y) be the second derivative of i(y). Find the second derivative of o(f) wrt f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2302 + 2255 - 79*m**2 - m + m wrt m?\nAnswer: -158*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 0 + 4\/5*t**4 + 0*t + 2\/5*t**5 + 0*t**2 + 2\/5*t**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 1\/5  (b) -3  (c) -223  (d) -330  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 + 7. Suppose 0 = -f*v + 42 - 12. Suppose -r + q + v = 0, 0 = -2*r + 5*r + 2*q + 7. Which is smaller: r or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = v**2 - 2*v - 1. Let s(h) = -174*h - 87. Give 87*q(f) - s(f).\nAnswer: 87*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28\/9 + -83\/18. What is the third biggest value in 11, b, 1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 102, 48, -264, -936, -2070, -3768?\nAnswer: -6132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -86 + 541. Let y = 464 - d. Solve 5*k + y = -6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 655 + -653. Let h(m) be the first derivative of 2*m + 5\/2*m**a - 1. Differentiate h(p) wrt p.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/((-7)\/(441\/14))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 4, i: 1, k: 3, y: 4, z: 1, p: 4}. Give prob of sequence uk.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -10*y**2 + 3 + 2*y**2 - 7*y - 4*y**3 + 3*y**3. Let w be o(-6). Let l = 39 + w. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aof when three letters picked without replacement from {a: 1, q: 1, v: 2, p: 1, o: 1, f: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 6*p + 5*p - 21 - 8 to x*p + j and give j.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - 27. Suppose 0 = -3*d - 5*k + 41, d + 3*k = -2*d + 33. Let l = d - q. What are the prime factors of l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -3*c - 9. Let z(o) = -2*o + 2. Let t be z(4). Let u be b(t). Let l = 9 + 0. Calculate the greatest common divisor of u and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 191 + -126. Let v be u\/(-25) - -4 - 1. Let s = 1.2 - 1. Which is the smallest value?  (a) v  (b) -4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*p = 2*v + 12*p + 1426071, -3565170 = 5*v + 5*p. Is v\/(-169) + 2\/(-13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the second derivative of 3*d**4\/4 + d**3\/3 + d**2\/2 + d. Suppose 14*i - 19*i - 4*s = -3, 5*i = 5*s - 15. Calculate j(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = b - 260, 5 + 47 = r + 2*b. Suppose -4*j = -0*j - r. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-6)\/4 + -1)\/(-1). Let s be 28\/10 - (-48)\/(-60). Suppose 3*c - s - 10 = 0. Which is bigger: i or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 6*w + 13*w - 3.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/4*-3*2. Let p(f) = 3*f**2 + 11*f - 2. Let o(a) = 2*a**2 + 7*a - 1. Let v(n) = 8*o(n) - 5*p(n). Determine v(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**3 + b**2 + b + 2. Let r be a(0). Suppose 6*j - 6*j**2 + 2*j**r + 7*j**2 = 0. Calculate j.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -22*i**2 + 16*i. Let v(u) = -3*u**2 - u - 2. Let j be v(2). Let a(k) = 7*k**2 - 5*k. Let l(t) = j*a(t) - 5*r(t). Let d(c) = -2*c**2. Give d(l(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 1:54 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17550454 is divided by 2509.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 33421475 to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 53653*b*g*l*n - b*g*l - 82*b*g*n - 53*b*g - 18*b*n - 6*g*l*n wrt l?\nAnswer: 53653*b*g*n - b*g - 6*g*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1547796 divided by 386949?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*x**3 + 1076*x**2 + 135744*x.\nAnswer: 2*x*(x + 202)*(x + 336)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -85*q**2 - 89*q**2 + 6*q**4 - 88*q**2 - 5*q + 2 + 263*q**2 to f + n*q + i*q**2 + v*q**3 + d*q**4 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 23928.6 to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -13194, -26323, -39452, -52581?\n\"Answer: -13129*h - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63 = 9*a + 18 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 2*j**3 - 4*j**2 + 3*j - 7. Let t be y(3). Let s be 8\/t + 0 + 4\/(-35). What is the nearest to 13 in 1\/3, 2\/9, s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 + 14*v**2 - 9*v - 179. What is u(13)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/9*(-90)\/(-12)*22\/(-220).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (144\/(-42))\/((-6)\/231) + -4. Let q = r + 226. List the prime factors of q.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -81 divided by -27.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**5 - 508452*y**4 + 2542228*y**3 - 4575992*y**2 + 3559098*y - 1016884 = 0. Calculate y.\nAnswer: 1, 2, 254221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 133 - -1798?\nAnswer: 18cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.5*16.16.\nAnswer: -8.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1424451001 (base 6) to base 12\nAnswer: -5a79a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 10 - 7 = 0. What is the tens digit of -5 + 3 + 51 + a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {l: 7, u: 5, r: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*n**2 - 2*n**4 + 0*n**2 - 2*n**4 - 2*n**4 + 3*n**4 + (n + 3*n - 6*n)*(-2*n**3 - n**3 + n**3) + n**4 - 2*n**4 - 2*n**4.\nAnswer: -2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 929 = -1218. What is the remainder when q is divided by 84?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -9*v + 17. Let p(g) = -13*g - 12983. Calculate j(p(f)).\nAnswer: 117*f + 116864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 21*p**2 - 1. Let r(k) be the third derivative of 1\/24*k**4 + 0*k**3 + 0*k - 4*k**2 - 3. Determine r(j(o)).\nAnswer: 21*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 132909581 and 290?\nAnswer: 1329095810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*n - 330 - 536 + 54 + 78 - 394 as i + d*n and give i.\nAnswer: -1128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 18.8, -0.1, -4\/5, 0.4, -0.4 in decreasing order.\nAnswer: 18.8, 0.4, -0.1, -0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 minutes before 11:57 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 1:12 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -78 - 25*j + 14 - 108*j**2 - 77*j - 70*j.\nAnswer: -4*(j + 1)*(27*j + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.17064 millilitres in litres?\nAnswer: 0.01917064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1259558024.\nAnswer: 2, 31, 5078863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 5*s = 3, 0 = 4*n - 36*s + 32*s + 20 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x**2 - 6*x + 5. Let l = 0 - -5. Let k be n(l). Suppose -h = -8 + 3. Solve h*q - 3 - 17 = k for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = p - 5*f + 4, 5*p + f = 5*f - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 - 0.5. Let r = -0.1 + -0.3. Let d be (2\/35)\/(2\/(-10)). Which is the closest to 0.1?  (a) r  (b) g  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 708 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -4*c + 18229*h - 18225*h, -4*c - 4*h = -28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.1, -0.03, 781, -6\/23.\nAnswer: -0.4, -6\/23, -0.03, 0.1, 781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 124293*i*z**2 + 945285*i + z**2 - 2*z wrt z?\nAnswer: 248586*i*z + 2*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 314648.5 and 1.22?\nAnswer: 383871.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 6943716 divided by -31278\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3106 - 2072. Calculate the highest common factor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42 + 22 + 2 + (36 - (-14 - -64)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 20 and 1130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, h: 4, b: 2, a: 1}. What is prob of picking 1 a, 1 h, 1 n, and 1 b?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*m + 3*m + 2*b + 3, 3*b - 9 = 0. Let c = 24 - 14. Solve x - 4 = d, -2*d - 5*x = m*d + c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -39.49324 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6) - (sqrt(6) + sqrt(48)\/(-4*sqrt(8))))\/(sqrt(2) - -3*sqrt(200) - sqrt(2) - sqrt(2)).\nAnswer: sqrt(3)\/116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of -37 + 32*r**2 - 14*r**2 - 19*r**2. Let g(t) = -26*t**2 - 2*t. Calculate l(g(c)).\nAnswer: 52*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 2 + 0)*(86 - 165 + 87) + (1 - 5 + 3)*(-2 - 1 - 1))*(4*z - 3*z - 3*z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 60 + -186. Let d = 376\/3 + f. Which is the smallest value?  (a) 0.2  (b) d  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (34\/(-12) - -2)*8\/(-10). What is the third biggest value in 1\/5, -1\/5, -3, k?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -326*q - 5*b = -328*q + 93, -5*q - 9*b + 11*b + 54 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5509 - -6383. Is r less than 874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 3*h**2 + h. Let a(s) = s**2 + s. Suppose -15 = 3*j - 0. Let v(t) = j*a(t) + 2*n(t). Find the second derivative of v(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 1774*u + 37. What are the prime factors of f(4)?\nAnswer: 7, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -25 (base 10) to base 7.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.13, -0.1, -1.6 in ascending order.\nAnswer: -1.6, -0.13, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 + 1121300?\nAnswer: 1121230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = -4*t. Let b be j(-2). Is 28 a factor of 84\/b*(-24)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 284402 - 162162. What is g rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36400603.\nAnswer: 31, 1174213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 34 = -6*a. Let u be 3\/(3 + 3)*8*a. Suppose 4*z - 4*r = 196, -5*z + 241 = -2*r + r. What is the highest common factor of u and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*a**3 - a**3 + 7*a**3)*(-79 + 160 - 76).\nAnswer: 45*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 156 + -273. Let a = y + 80. Let q = a + 54. Calculate the highest common factor of q and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -0.13, -2 in decreasing order.\nAnswer: 0, -0.13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(-1 + sqrt(108)) + -1*sqrt(108)*5)**2 - (sqrt(108) - sqrt(108)*-1*2 - (sqrt(108)*2*3)**2))*-4.\nAnswer: -17316 - 216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9083282*k**3 + 3*k**2 + 1206*k - 155?\nAnswer: 54499692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -234, -146, -48, 66, 202?\n\"Answer: g**3 - g**2 + 84*g - 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2180724941 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 16*o + 14. Let r be t(-4). Let m = -48 - r. Suppose 3*y + y - 3*u = 201, 0 = m*u + 6. Calculate the highest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (272\/24 + -12)\/(4\/(-2382)) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 8*g + 2*g + 8*g - g - 7. Let s be o(-1). Let r = s + 30. Solve 3*n = r*n - 3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42421 = 47*t - 221162. List the prime factors of t.\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a factor of 56173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 6073 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*k + 1 - 21. Let y = -513.42 - -65.58. Let t = -448 - y. Which is the second biggest value?  (a) -0.4  (b) -0.5  (c) t  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-2\/5)*(((v\/v**3)\/v)\/v)\/v)\/(v*v**(2\/3))**46*((v**(-2\/3))**19)**19 assuming v is positive.\nAnswer: v**(-4841\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 e when two letters picked without replacement from {e: 10, s: 4, t: 1, q: 2, f: 1}?\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + c**2 + c)*(c**3 + 3*c**3 + 0*c**3) + (-4*c**2 + c**2 + c**2)*(4*c**3 + c**3 - c**3).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -318925*a + 5740649. Give p(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 1 = -5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1016 and 2286?\nAnswer: 9144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -0.22 * -342\nAnswer: 75.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*r**4 + 265*r**3 - 352*r**2 - r.\nAnswer: 48*r + 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 10\/3*a + 0 + 2\/3*a**4 + 22\/3*a**2 + 14\/3*a**3 = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -55 - 4?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-36) - 3\/(-6). Let z = 0.13812 + 301.86188. Are z and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 104478 * -0.174.\nAnswer: -18179.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 2*l - 70, -2*p + 3*l + 22 = -33. Suppose -10 = -8*t + 62. Solve -4*x + p = -t*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18014 (base 15) in base 4?\nAnswer: 102331030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*j - 3*o = 11*j + 14, 0 = 3*j + 2*o - 20 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3086.521 - -3138.4. Round m to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 2*d = d + 45, 0 = -4*y - 4*d + 76. Calculate the remainder when 66 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 535 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = 2*f - 20. Solve -12 - f = -4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 4*v - 22 = 0, -20 + 5 = -5*c - 2*v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a**3 - 61*a + 13*a + 18*a + 30*a + 5*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f + 2001580334 - 2001580334.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -s - o, 2*s + s + 4*o = 10. Let t be s\/(-27) - 47\/(-9). Calculate the remainder when 49 is divided by 8\/(-20) - (-87)\/t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 2 = -u. Suppose -3*d = -u*h + 13, 2*h = -3*d + 1 + 10. Let a(c) = -c**2 - 1. Let k be a(-2). Put 5, h, k in increasing order.\nAnswer: k, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((9 - 2) + -7 - 5) + -9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*u + 1430 = 971. Let m be (25 - -1)\/(2\/151). Is (-18)\/u + m\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4901 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + 5*s**2 + 3*s - 1. Calculate the remainder when (0 + 1)\/(2\/106) is divided by t(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 + 4*t. Let w be i(4). Suppose 0 = d - w*d - 11. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 659 - 658.8. Let j = -0.24 - 13.76. Which is the second smallest value?  (a) m  (b) -5  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of -2\/5*j**6 + 0*j**3 - 6*j + 0*j**5 + 0*j**2 - j**4 + 0. Find the third derivative of b(k) wrt k.\nAnswer: -288*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485 minutes after 5:32 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -6337, -6331, -6325, -6319, -6313?\n\"Answer: 6*i - 6343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s\/s**(-2\/5))**(-2\/25))**(-23\/6))**(2\/7) assuming s is positive.\nAnswer: s**(46\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 699 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + y + 54. Suppose -2*s = s - y. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a\/(a\/(a**17*a)*a))\/a*a)\/(a\/(a\/a**(4\/3)*a)))\/(a\/a**(2\/7)*a)**47 assuming a is positive.\nAnswer: a**(-1342\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61 + -26. Suppose s = 2*q - 57. Calculate the remainder when q is divided by ((-4)\/6)\/((-2)\/36).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = 5*h - 23, -13 = -4*p - 3*h + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30 + 31. Suppose -4*t = d - 11, j + 5 = -3*t + 4*d. Solve 0 = -t*m - 1 - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pmpw when four letters picked without replacement from {m: 1, p: 3, c: 3, w: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -34\/23 at least as big as 12\/149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 12*g. Let c(f) = 7*f**2. Give k(c(p)).\nAnswer: 84*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 3530274 - 3530274 - 2321*y as r + l*y and give l.\nAnswer: -2321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-22) + (-312)\/(-99))*483\/115?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the third derivative of -d**4\/24 + 13*d**3\/6 - 2*d**2. Let n be 4*(-28)\/(-16)*-1. What is the remainder when 79 is divided by p(n)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -2*z**3 - 2*z + 2. Let j(d) = -d**2 - 4*d + 7. Let h be j(-5). Let t(o) = 3 + 2 - h*o + 7*o**3 - 2 - 9*o**3. Give -5*r(k) + 4*t(k).\nAnswer: 2*k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the third derivative of -499*t**8\/336 - 371*t**4\/24 + 221*t**2. Find the second derivative of b(i) wrt i.\nAnswer: -9980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2012 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 4:41 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {h: 3, o: 1, f: 2, t: 1, l: 1, y: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/54)\/(-8)*-9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**3\/2 + 279187*b**2\/2 - 837587*b - 2233544 = 0 for b.\nAnswer: -279193, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.47416035 to 3 dps.\nAnswer: -0.474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d**3 - 8*d**2 - 9*d + 9. Let m(p) = -5*p**3 - 16*p**2 - 18*p + 18. Let z(w) = -7*i(w) + 3*m(w). Let k be z(9). Does 3 divide -2 - (3\/(-1) + k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -448.6 + 449. Which is the smallest value?  (a) -0.4  (b) -0.1  (c) m  (d) -0.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = a**3 + 67*a**2 - 10*a + 185. Calculate the smallest common multiple of 1197 and q(-67).\nAnswer: 5985","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**6*y**8)\/(y**(-2\/7))**(3\/4) assuming y is positive.\nAnswer: y**(227\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 125635.\nAnswer: 5, 25127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -116737, -116682, -116591, -116464?\n\"Answer: 18*t**2 + t - 116756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13323, 13271, 13221, 13173, 13127?\nAnswer: 13083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nagnug. What is prob of picking 2 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express o**2 + o**2 - 3*o**2 + 0*o**2 - 3*o**2 + 2*o**2 + (1 + 2*o - 1)*(0 - 5*o + 0) + 2*o**2 + 2*o - 2*o as d + f*o**2 + b*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = 3*r - 32128, -40*r + 37*r = 5*u - 80320. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 322 and 4462?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*b**4 - 4*b**4 + 2*b**4 + (-4*b**3 + 7*b**3 + 2*b**3)*(-3*b + b + b) - b**4 - 4*b**4 - 2*b**4.\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c**2 - c - 38. Let v be r(8). What is the units digit of (-2)\/v*3 - 391\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -b + 5*m - m, 0 = 5*b + m + 1. What is the tens digit of 4 + 398 + (2 - -1) + b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - i = -3, -2 = 3*n - 2*i - 3. Let l be n\/(-2) + 5\/2. Solve 0 = -0*z - z + l for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 140 divided by -313065.\nAnswer: -28\/62613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -4284 at most as big as -4284?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 6*c - 3. Let a(j) = -j + 1. Suppose -6 = -19*m + 18*m. Suppose -m = 2*w - 10. What is w*p(x) + 6*a(x)?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 24\/7*u - 6\/7*u**3 - 60\/7*u**2 + 0 + 15\/7*u**4 = 0. Calculate u.\nAnswer: -2, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (0 - (-1 + -18)) + 3. Let r = o + -16. Suppose r*c - 1164 = 2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 14 from 355788.\nAnswer: 355774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -305*x**2 - 5 + 3 - 134*x**2.\nAnswer: -439*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (10 + -5)) + 0 + 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 100992807.5 to the nearest ten thousand.\nAnswer: 100990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1971 + -1962. Put 1, 4, t, 6 in descending order.\nAnswer: t, 6, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 5*o = o - 4, -4*t - 5*o - 5 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -2315 divided by 2315\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 6*m - 8. Let l be b(5). Let h = 21 - l. Let q(n) = -3*n**2 + n - 1. Let c be q(h). Is c greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 + 7. Let h be 1872\/2795*10\/y. Let n = h - 2\/43. Which is the third smallest value?  (a) n  (b) -3  (c) -2  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 4, o: 2, g: 3, t: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 332 a factor of 801381268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14200545 + 235?\nAnswer: 14201224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 2, -12, 3\/7, -6, -1\/289?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l. Let p(k) = 6*k. Let w(h) = -p(h) + 5*v(h). Suppose 6 = -4*q + 10. Let j(r) = 21*r. Let d(x) = q*j(x) + 15*w(x). Calculate d(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*g**6*l + 2740*g**3*l**2 - 3*g**2*l + 1376*g*l**2 wrt g?\nAnswer: 360*g**3*l + 16440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -23*y**2 + 257*y - 44. Let t be l(11). Which is the nearest to t?  (a) -0.1  (b) -20\/29  (c) -1\/2  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 2244 divide 317797524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 509360.8 centuries?\nAnswer: 50936.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -3  (b) 4  (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7032734?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1488, -1485, -1482, -1479?\n\"Answer: 3*z - 1491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 167*o - 1 - 133*o - 404*o.\nAnswer: -370*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 556924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -20, -5*n - 55479 = c + 7761. Is 5\/6 + c\/(-282) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.4 + 0.1. Let k = -25 - -38. Suppose -5*g - k = 2*h + 22, -g + 5*h + 20 = 0. Sort -2, g, c in increasing order.\nAnswer: g, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -104 divided by -8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 105 and 8010?\nAnswer: 56070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2132524988?\nAnswer: 2, 11, 48466477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45741 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 0 + (10 - 4 - 6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 1, d: 3, l: 4, r: 2}. Give prob of sequence rdd.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 35960885 and 3407.\nAnswer: 35960885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8473, -13268, -18065, -22864, -27665, -32468?\nAnswer: -37273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-4\/11)*d*d)\/d)\/d**(2\/7))\/((d\/(d**(2\/5)\/d))\/d**(-9)) assuming d is positive.\nAnswer: d**(-3946\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 + 1. Suppose 2*t + 24 = -2*t, -8*t = -f - 7*t. Let z(u) = -8*u**3 - 3*u**2 + u + 7. Calculate f*a(k) + z(k).\nAnswer: -2*k**3 - 3*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(11)*-1 + -2)*4 + -5)**2.\nAnswer: 8*sqrt(11) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4494 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 + 0 - 4 + 127*t**2 - 4.\nAnswer: 127*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*r - 0. Suppose 6*j - 12 = 2*j - 3*s, -r*j = 2*s - 12. Let v be (-1)\/j + (-64)\/(-12). Which is the third biggest value?  (a) -0.4  (b) 1  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**2 + 158040516*w - 158040520.\nAnswer: 4*(w - 1)*(w + 39510130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1062 is divided by 211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 + 15*d - 40. Let s be m(12). Let g = -2\/223 + 468\/2453. Which is the closest to -5?  (a) g  (b) 2\/17  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 20\/16*(0 - -3716). Let g be (6\/(-20))\/((-12)\/f). Let u = g + -116. Sort -2\/5, 4, u.\nAnswer: -2\/5, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 69 - (13 - (-10 + 36)) - 5.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l**2 + l + 4. Let b be y(3). Suppose 4*n - 8*n - 46 = 3*d, 2*d - 3*n + 25 = 0. Let x = d + b. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4*y - 5*u - 37 = 0, -3*y + 3*u = -27. Suppose 3*m - y*k - 51 = -k, 79 = 5*m + k. Solve -8*p + 4*p - m = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(24) + (sqrt(1944) - (sqrt(1944) - sqrt(1944)*1 - sqrt(1944)) - sqrt(24)))\/(sqrt(432)\/sqrt(4)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 - 4. Suppose -3*o + 2 = -9*w + 11*w, -3*w + o = -14. Suppose -w*u = -9*u, -5*u = 3*c - 6. Solve h*b + c = 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 4\/93?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 19290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3282523538.\nAnswer: 2, 7, 234465967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/13  (b) -0.033017  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 3, a: 1, m: 9, s: 3, l: 1, t: 1}. Give prob of picking 3 m.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 114 and 285?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes after 4:46 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 2*l - 179 = -51, 82 = 3*k - 4*l. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98368.92 centuries in decades?\nAnswer: 983689.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:01 PM and 8:16 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 6*n + 0)*(n + 15*n**3 - 2 - 11*n**3 + 3) + n**4 - 1 + 1.\nAnswer: 25*n**4 + 6*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76)*2)**2*4 + sqrt(76) + sqrt(76))*-5 - ((-2*sqrt(76))**2 + -3 + (-4*sqrt(76)*1)**2).\nAnswer: -7597 - 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1286.14751 rounded to 1 decimal place?\nAnswer: -1286.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 2*o - 57, -3*o - x = -0*o - 68. Solve -2 = 5*u + 2*s - o, 3 = 3*u + 4*s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-351)\/(-91))\/((-4)\/14))\/((-2)\/(-8)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3033, -12110, -27233, -48396, -75593, -108818, -148065?\nAnswer: -193328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 21 - 23)*(-u + u + u) - u + 2 - 2 + 3 - 3 + 2*u.\nAnswer: -39*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13*g**2*l**3 + 45032*g**2 + 1478*l**3 wrt l?\nAnswer: 39*g**2*l**2 + 4434*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 393431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5 = 4*t, 8*v + 1 = 4*v + 5*t. Let m be v*1\/(-2) - 171\/(-18). Solve 4*c + m = -7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.675 + 1.8. Let s = -5.735 + q. Let f = s + 5.8. What is f rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1159 + 1170. What is the smallest common multiple of 461 and j?\nAnswer: 5071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19\/1480 or 1?\nAnswer: -19\/1480","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.53, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = -0*u - 3*t + 37, 4*u + 2*t - 168 = 0. Suppose -51 - 318 = -3*m. What is the common denominator of (m\/8)\/((-9)\/(-4)) and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) be the second derivative of -60*w - 26\/27*w**3 + 169\/9*w**2 + 1\/54*w**4 + 0. Find q such that n(q) = 0.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -305536*f**4 + 4*f**2 - 6*f + 2433132.\nAnswer: -3666432*f**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 101100010000100000111011 (base 2) in base 6?\nAnswer: 1052400511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -240165 smaller than -239949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00529139 rounded to four decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -3842, -3917, -4112, -4487, -5102, -6017, -7292, -8987?\n\"Answer: -10*i**3 - 5*i - 3827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 662 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) be the first derivative of -179\/4*q**4 + 2\/3*q**3 - 29 + 0*q + 1\/2*q**2. What are the prime factors of z(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 36944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2464714, -9858869, -22182460, -39435487, -61617950, -88729849?\nAnswer: -120771184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.361 - -3.361. What is the second smallest value in 0.1, 0, n, 0.001?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2354, -6, -2141, 0, -4, -3 in ascending order.\nAnswer: -2141, -6, -4, -3, 0, 2354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 2.805344 nanometers?\nAnswer: 0.0000002805344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1047027 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**3 - 16*a**2 + 20*a - 18. Determine u(16).\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 + 2.3. Let l(r) = r + 1. Let j(k) = -4*k - 6. Let h(w) = -3*j(w) - 16*l(w). Let u be h(1). Which is the closest to u?  (a) 3  (b) d  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.4, 0.3, 93, -43?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.805103327 - 0.1.\nAnswer: -0.905103327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -7425*x - 59358. What is j(-8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 83037 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 + (-3 - -17) + 3. Suppose 2*p - 6*o - 14 = -2*o, -28 = p + 5*o. Let r = w + p. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*l + 2*l - 6*l)*(-2*l**3 - l**3 + 0*l**3).\nAnswer: 21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 254 + 769 = 0. Let q = -79 + r. Suppose -q = -2*k + 4. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -7 + 1, -5*g + 46 = 4*c. Let j(h) = -h - 17. Let y(f) = -1 + 0 + 5. What is c*y(d) + 2*j(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -2*f**3 + f**2 - 1354*f + 6799. Determine z(5).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85411 is divided by 97.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 147815 and 1530.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7486287 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 876 or 3196?\nAnswer: 3196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -145644 divided by 36411?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.105 - 0.045. Let z = r + -0.66. Let w = z + 1.01. Sort -0.2, -3, w, 0.3 in decreasing order.\nAnswer: 0.3, w, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -3 + -10 + 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 13909*g - 2. What is w(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 47316, 47310, 47290, 47250, 47184?\n\"Answer: -t**3 - t**2 + 4*t + 47314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.3 + -1.7. Let y = 2.3 + b. Put -0.5, -0.4, y in descending order.\nAnswer: y, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -244 - -244.1. Let n be 3 + 422\/(-186) + 2\/(-3). What is the biggest value in n, 4\/5, -2, s?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-226))\/((2516\/136)\/(-37))\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 - 6*k**2 - 9*k - 54. Let w be c(8). Let s(i) = 3*i - 3 + 0 - w*i**2 - 5*i + 10*i. Calculate s(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 220*c + 71199 = 2499638 - 180039. List the prime factors of c.\nAnswer: 2, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-84)*(-15)\/10*(-56)\/1\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 11 - 1 - 28*l - 10 as h*l + x and give h.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -20*n + 27. Let d(m) = 77*m - 99. Let w(j) = 3*d(j) + 11*g(j). Let r(c) = -50*c**2. Determine r(w(v)).\nAnswer: -6050*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 36\/(-54) - (-137)\/3. Suppose 9*v - 4*v - f = 0. List the prime factors of (v\/(-6) + 3)*28.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*n + 134117 = 77*n - 130213. Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31924 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + 5. Let p(d) = d + 3 - 1 - 3. List the prime factors of p(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 - -4. Let z = w - -6. Let v be z\/4*-2*-2. Sort 5, 2, v in increasing order.\nAnswer: v, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 374 = -9*i - 4*d, 453*d - 125 = 3*i + 454*d for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 23 = 3*v, -v + p + 1 = -0*p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 366239200 to the nearest one hundred thousand.\nAnswer: 366200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 11*g - 60. Let q be n(6). Suppose 26135 = q*s - 859. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -23\/444 - -5\/37. Let f = 97 - 96.8. What is the closest to 0 in f, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-3)*(-6)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -322 + 3*g + 8*g + 322 + 0*g.\nAnswer: 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(130)*-1*-5)\/(sqrt(810)*-2))**2.\nAnswer: 325\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 62597588 and 1096280?\nAnswer: 625975880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.03 - 0.03. Let m = -0.1 + t. Which is the nearest to m?  (a) -4\/5  (b) 0.3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12 + 21143225?\nAnswer: 21143213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1247.88 + -1247. What is k rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 1\/9*j + 1\/9*j**2.\nAnswer: j*(j - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 109  (b) 0  (c) 5  (d) 11\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of 15*r**6\/8 - 3*r**5 - 25*r**4\/4 + 25*r**3\/6 + 55*r**2\/8 + 5*r\/2 - 17. Suppose x(z) = 0. Calculate z.\nAnswer: -1, -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 31*f**3*s**3 - 827*f**3*s - 19*f**2*s**3 + 13*f*s**2 - 6*f*s - 2*s**3 wrt f.\nAnswer: 186*s**3 - 4962*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-5)*c**(-3\/2)*c)**(1\/7))**(-3\/4) assuming c is positive.\nAnswer: c**(33\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*x + 8*x**2 + 3*x**2 + 33*x + 0*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -1409\/15, 0.2, 31, -4\/3 in ascending order.\nAnswer: -1409\/15, -4\/3, 0.2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/29  (b) -200\/187  (c) -1  (d) 0.5  (e) 29  (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -37\/344?\nAnswer: -37\/344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gvvghrgorgroh. Give prob of sequence vghv.\nAnswer: 2\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 7*u**3 - 8*u**2 - 2*u + 9. What are the prime factors of j(5)?\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8293487 decades to months.\nAnswer: 99.521844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-78)\/81)\/(-13)*(5 + -2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 826\/(-714) - (-7)\/3. Factor -2\/17*k**3 - q*k**2 - 50\/17*k + 0.\nAnswer: -2*k*(k + 5)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5\/5*28*4. Suppose -5*a + 288 = -j. Suppose 20 - 62 = -2*x + u, -64 = -3*x + 2*u. What is the greatest common factor of x and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 4*w**2 + 3*w - 1 - 4 - 2*w - 3*w. Let c be n(6). Suppose 4*s + c = 5*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 477929*h - 6691015. What is t(14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -b + 8. Let a be 8\/((-9)\/12 - -1). Suppose -4*y = -0*y - a. Let n be z(y). Which is bigger: n or -2\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001674361 rounded to seven decimal places?\nAnswer: 0.0001674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -111010 (base 2) to base 13\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -130426, -130432, -130452, -130492, -130558, -130656?\nAnswer: -130792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p**2 - 36*p + 28. Let q be w(18). Let h be (-7329009)\/21 + 3*4\/q. Round h to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w. Let v(h) = -1202*h**2. Give n(v(m)).\nAnswer: 1202*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1753679201 to 3 dps.\nAnswer: -0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 67*l - 37. What is the tens digit of r(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 17 + 29. Suppose 0 = o + 3*o - z. Is (-206 + -17)\/(-1*o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o - b - 16 = -0*o, 2*b + 16 = 4*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -12*t + 37477. Suppose -15*z + 3 = -12*z, -4*r + z + t = 0. List the prime factors of r.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1872) + -1)**2 + (6*sqrt(13)*3)**2.\nAnswer: -24*sqrt(13) + 6085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seventy-seven fifths of a kilometer?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 5049, 10096, 15143, 20190, 25237?\n\"Answer: 5047*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*i**3 - 5*i**3 + 11*i**3 + 5*i**3 - 8*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -45394712 + 2360428453\/52. Let r = j + 1399\/156. Let t = -1838 - r. Calculate the common denominator of t and 11\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 17\/4 of a microsecond?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38876697, -38876698, -38876699, -38876700, -38876701, -38876702?\nAnswer: -38876703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 74249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 3*u**4\/2 + 2*u**2 - 13. What is the second derivative of q(p) wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -989, -8276, -21857, -41732, -67901, -100364, -139121?\n\"Answer: -3147*l**2 + 2154*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 2*c. Let z = -195 + 199. Suppose c = z*p - 342 - 550. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/3)\/(120\/270).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as -2\/355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 541 = -78*z + 79*z + 28. Calculate the remainder when 1543 is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -3*h**5 + 48*h**4 - 216*h**3 + 390*h**2 - 309*h + 90 = 0.\nAnswer: 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -j**2*t - 93*j**2 + 391*j*t - 4*j wrt t.\nAnswer: -j**2 + 391*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 1 + sqrt(1088) + 2 + 3 + -3 + (sqrt(1088) + -1)*-3 + 0 + -3.\nAnswer: -16*sqrt(17) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 34?  (a) -12  (b) -0.2  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 48.07 - 48. What is the biggest value in -1, q, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14117?\nAnswer: 19, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 2:32 PM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 3*a = -1. Let i be a + 1 - (-5 - 3). Suppose -4*u = -i, 4*u = 3*g + u - 12. Solve -g = 2*k + h, h + 5 = -5*k - 10 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxx. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t**3 + 15*t**2 + 6*t - 20. What is the least common multiple of a(13) and 14?\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*i - 14*i - 14 = 4*h, i - 3*h = 13 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(308)\/(sqrt(55)\/sqrt(5)))\/(sqrt(700)\/sqrt(7)))**2.\nAnswer: -2*sqrt(7) + 632\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 243.8914 nanometers to millimeters.\nAnswer: 0.0002438914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**3 + 20*p**2 - 20*p + 32. Calculate m(19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/8))**(-2\/59)\/((h**6\/h)\/h*h)**(2\/121) assuming h is positive.\nAnswer: h**(-2239\/28556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/360 and -197\/567781740.\nAnswer: 1135563480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153392504 divided by 542.\nAnswer: 283012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -141*x + 78. Is 12 a factor of s(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-2)\/((-10)\/(-306655)))\/(7\/(-21)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 1500*g**2 + 6 + 2*g - 1501*g**2 - 2*g - 10*g**4 in the form i*g**4 + q*g**3 + w*g**2 + c + b*g and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 - 80*d**2 + 119*d + 2440. Give r(-81).\nAnswer: -638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 156583, 313168, 469753, 626338, 782923?\n\"Answer: 156585*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2408 (base 12) to base 2\nAnswer: -111111001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m - 6 + 6 - 46*m)*((-1 + 0 + 0)*(0*m + 4*m - 3*m) - 108*m - 24*m - 95*m).\nAnswer: 10944*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 4*h**2 + 12*h - 11. Let l be b(12). Let n = -312 + l. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 633 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 0.3, 1\/50?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.0435 + -26.0565. Let k = c - -28. Let w = k + -1.89931. Round w to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + t + 191 - 12, -293 = -5*y + 3*t. Let x = -4523 - -4545. Calculate the remainder when y is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 355 and 325.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 46*u - 31. Let k be (-4)\/10*-25 + 1. Let s be v(k). Calculate the greatest common factor of 19 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = z - 15. Let q be k(-10). Let o be (-10 + 0)*(5 - (-135)\/q). Suppose o*r - 6682 = 2*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 5, -4\/5, -5, 65, -5\/4 in increasing order.\nAnswer: -5, -5\/4, -4\/5, -0.2, 5, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 109*i**2 + 279*i + 3016. Does 8 divide s(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2 - 5\/((-540)\/136). Let y = f + 2\/27. Let b = -28 - -33. What is the third smallest value in -0.5, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f**3 - 3*f**2 + 2*f - 4. Let b be g(-4). Let u = -44999 + 45001. What is the closest to u in b, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 9226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 3*k + 1. Let b(x) = -5*x - 1. Let y(h) = -2*b(h) - 5*r(h). Let z = 6 - 5. Suppose a = -z - 3, f + a = -6. Determine y(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 2:29 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 times 4?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nbzcn. What is prob of sequence znnc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, 0, 58, 154, 288, 460, 670?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**2 - 13*l - 39. Let m be t(-8). Calculate the highest common factor of 11 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7394125 divided by -295765.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-126)\/(-16))\/(-7))\/(978\/1304)*4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*x + 44 = -0*x. Suppose 0*k = -3*h - 2*k + 128, -164 = -x*h - k. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4830 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: What is the value of (4\/((-6)\/(-27)*9))\/(13*14\/(-84))?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 125951 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -g - 49*g**4 - 4 + 47*g**4 - 3*g to d*g**2 + y*g**4 + q*g + j*g**3 + o and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 155954063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12*1\/(4\/5). Let c(r) be the first derivative of -9\/2*r**2 - n + 0*r. Let i(v) = -v**2. Determine i(c(j)).\nAnswer: -81*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.3908 - 0.1092. What is the biggest value in d, 5\/83, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -1132231?\nAnswer: -1132302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11001011001110101111 - 1?\nAnswer: -11001011001110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 211 = 5*b - 379. What is the remainder when b is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l + 1. Let f(c) = 5*c + 4. Let i(y) = f(y) - 6*h(y). Let r be i(3). Let g = 6 + -3. Put g, r, -2 in decreasing order.\nAnswer: g, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (48\/(-10))\/(192\/(-640)). Let a = 11 + -9. Solve -a*c = -6*c - z for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 39 = 19. Let g = 13 + -11. Suppose -5 - f = -g*s. Is s less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145 minutes after 9:23 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*r + 8*r**2 + 25*r.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3398010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/5, -124\/5, 8, 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -221*g - 109*g - 6314 = 73*g - 34524 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 a factor of 574504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 328868 and 2.\nAnswer: 328868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus 18.29?\nAnswer: -21.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10 - -6. Let d = -5 - t. Let n = -0.9 - d. What is the second smallest value in -4, -1, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251a (base 14) in base 5?\nAnswer: 201432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -653, -651, -657, -677, -717, -783?\n\"Answer: -n**3 + 2*n**2 + 3*n - 657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(-2) + 0\/(-3). Put u, -4, 1 in descending order.\nAnswer: 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of 23*v**4\/4 - v**3\/3 - 2. Let b be x(-10). What is b rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5046115?\nAnswer: 5, 19, 53117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 divided by 6725175?\nAnswer: -1\/448345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 - 205 = -5*p. What is the remainder when p is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the first derivative of -w**3\/33 - 127*w**2\/22 + 258*w\/11 - 3017. Solve a(n) = 0 for n.\nAnswer: -129, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 213 divided by -3.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -8*j**3 - 13*j. Let b(q) = -24*q**3 - 40*q. Let k(c) = 5*b(c) - 16*i(c). What is the second derivative of k(f) wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/532 and 85\/1292*(-2886)\/910.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3154 divide 79171638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -117197, -117173, -117125, -117047, -116933?\n\"Answer: j**3 + 6*j**2 - j - 117203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 559 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 189578768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 2002303414?\nAnswer: 2002303411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uspu when four letters picked without replacement from ssppsssuusss.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + -46)*18\/(-70)*280\/60?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u**4 + 5*u**4 - 4*u**4 + (-3 + 2*u + 3)*(u**3 + 0*u**3 - 3*u**3) + 3*u**4 - u + u - u + u - u**4.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -178242*l - 60 = -178257*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 3*v**3 - 5*v**2 + 3*v - 5. Let l(w) = 3*w**3 - 6*w**2 + 4*w - 6. Determine -5*l(x) + 6*z(x).\nAnswer: 3*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes after 8:15 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -13131122123 (base 4) in base 13?\nAnswer: -5360ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1634 is divided by 574?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15611 and 1.\nAnswer: 15611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 983406 + 49779 = 15*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -24\/981827 and -79\/615.\nAnswer: 14727405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of -h**5\/15 - h**4\/6 - 2*h**3\/3 - h**2 - 1151. Let i(p) = p**3 - 5*p**2 - 5*p - 5. Give 5*d(f) - 4*i(f).\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 5*k = -7, -5*v = k + 49 - 0. What is the units digit of (-284)\/(1\/2*9\/v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 28 + -23. Let m(r) = r**2 - 7*r + 4. Determine m(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in seven fifteenths of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 205 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50333518.\nAnswer: 2, 25166759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37 = -3*c - 16. Let b be ((-8)\/7)\/((-2)\/c). Let x be (-1)\/((4\/(-5))\/b). Solve 0 = g + h + 7, x*g = -0*g + 2*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -154*q + 78*q + 26*q**2 + 27 + 81*q. Let g(k) = -13*k**2 - 3*k - 13. Let v(d) = -5*g(d) - 3*s(d). Differentiate v(a) wrt a.\nAnswer: -26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*0.05146\nAnswer: 0.2573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 4*u + 3. Let w be o(-3). Let i(j) = 3*j**2. Let p be i(2). Does 2 divide (-24)\/w + (-8)\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 + 5*u + 8. Let h be m(6). What is the second derivative of t**4 - 2*t - h*t + 9*t**4 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 - -2 - (-34 + 13 - -18)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -37711*v**2 + 7440*v**2 - 3132*v**2 - 4*v + 4*v in the form g + q*v**2 + c*v and give q.\nAnswer: -33403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 4 + 1 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -8 + -3 - (0 + -2) - 19\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -145*p + 136*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 86551630?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2200001022 (base 3) in base 14?\nAnswer: -151d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5654 by 2.\nAnswer: -2827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 777830*k - 15556591. What is g(20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 - 3)*(2*p**3 - 3*p**3 + 2*p**3) + (1 - 2*p**2 + 5*p**2 - 2)*(2*p + 4 - 4).\nAnswer: 4*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18868403 + 6289467 - 10*q**3 + 6289465 + 6289471 - 30*q**3.\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((1 + sqrt(68) + -1)*1 - ((sqrt(17) - sqrt(68) - sqrt(17))*-6 - (sqrt(34)\/(sqrt(8)\/sqrt(4)))**2)) + 5.\nAnswer: -10*sqrt(17) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 96410 is divided by 32116?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = p + 2*m, 3*p + 402*m = 433*m + 65 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: -15455694 divided by -201\nAnswer: 76894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 36, 93, 188, 321, 492?\n\"Answer: 19*u**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 6\/139  (b) -0.03  (c) 0.1  (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*y = 30*y + 8. Let f = y + 13. Calculate the least common multiple of 2 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 418*b = 406*b + 828. Calculate the remainder when 2963 is divided by b.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1738899 is divided by 217343?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 42462 minus 2?\nAnswer: 42460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (450\/(-306)*17)\/(3\/3)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m*m**(-2\/13))\/((m\/m**(-6\/7))\/m))\/(m\/m**(1\/2)*m**(1\/5)))**3 assuming m is positive.\nAnswer: m**(-1941\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 4*g - 60 = 0, -298 - 94 = 5*s - 54*g + 205 - 128 + 199 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 + 1001001100011111110110001?\nAnswer: 1001001100011111110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (5\/2)\/(1\/(-2)). Let x(u) = -u - 5. Let n be x(s). Suppose -2*o - 2*g = -4, -5*o + 3*o = g. Which is greater: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -730 = -13*x + 1740. Let s = x - 173. Suppose 5*q - 7*c - 170 = -2*c, -q = -5*c - 46. Calculate the remainder when q is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -3\/5, 133?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((-6)\/(-105)*(-725)\/580)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*z**2\/9 + 340*z\/3 - 1018\/9 = 0. What is z?\nAnswer: 1, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 819\/49 + (-4)\/(-14). Let t(x) = -5*x - 4*x + 5 - 6 + 2*x**2 + n*x. Calculate t(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccqylld. Give prob of sequence lc.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 38038 and 1638?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 3, c: 6, j: 8}. Give prob of picking 1 c and 1 g.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(5 + sqrt(104)\/(1*sqrt(8))) + 5.\nAnswer: -20 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 525238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6666, -26882, -60574, -107742?\nAnswer: -168386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(76)\/(sqrt(144) + (sqrt(144) - (-5*sqrt(144) - sqrt(144)))))**2.\nAnswer: 19\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*i + 7*i + 7*i**3 - 9*i**3 wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.93 + 21.07. Let r = m + -24.91. Which is the fourth biggest value?  (a) 2  (b) -0.1  (c) -5  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-1\/5)\/d)\/d*d)\/((d\/d**(-4\/7))\/d))**(-1\/14)\/(((d*d*d**2*d)\/d)\/(d\/(d**(2\/15)\/d)))**(-17\/5) assuming d is positive.\nAnswer: d**(27121\/3675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*g = 82*g - 87. Solve u - g*w + 4*w + 2 = 0, 10 = u - 5*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-12)\/30)\/((-54)\/45). Let h(v) be the first derivative of -v - v**2 - 4 - c*v**3. Give h(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-29)\/(13195\/(-14)))\/(((-55)\/50)\/(-11)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 243 = 21*g - 27 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gkbbfkbfbrk. Give prob of picking 3 k and 1 g.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 - 6*g**2 - 2*g - 8. Let c be 9\/(-12) - (-254)\/8. Suppose 0 = 5*q - 9 - c. What is the hundreds digit of t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2511005055 is divided by 12724?\nAnswer: 12723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 164678 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1917994157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9*(-12)\/(-1620)*-6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -604 or -603?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from sssssesgsgspspgseps.\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1001)\/(-858) + 26\/(-12))\/((-404)\/(-134) - 3).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 637095 is divided by 1895.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -98 + 59. Let f = 192 - 234. What are the prime factors of (-1)\/(-1 + j\/f)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*b**2 + 7*b - 5*b**2 - 5*b + 1)*(15*b**2 - 2*b**2 - 3*b**2) as v*b**2 + p*b + q*b**4 + m*b**3 + d and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 1 + -2*sqrt(175) + sqrt(175) + sqrt(175) + sqrt(175) + 4 + 6*(sqrt(77)\/(-1*sqrt(891)))**2 + -5.\nAnswer: 14\/27 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 641130257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 25681 and 4210?\nAnswer: 256810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -269*s = 2812780 - 9453852. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 376701 - -834.\nAnswer: 377535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -30851 to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 302945 not equal to 302947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z - 3*z + 3*p + 316, 0 = 2*z + 5*p - 114. Let b = z - 36. Suppose -5*x + b - 6 = 0. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-15)\/(-2)*6*1. Suppose -8*o = -7*o - y. Suppose -5*a = -5*w - 100, -o - 59 = -5*a + 4*w. Solve -a = -5*z - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (780\/(-70) - -14)*133\/418?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*w + 4*w - 7 = 4*d, d + 3 = -w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 3*l = 40, 0 = -3*z - 5*l - 224 + 214 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(729))\/(sqrt(3) - 6*sqrt(12)\/sqrt(4)).\nAnswer: 9*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 3*q + 51 = -j, -4*j = q - 58. Calculate the remainder when 58 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/8 - (-119)\/28. Suppose -3*z - i*x + 17 = 0, -x = z - 2 - 3. Calculate the lowest common multiple of (z + -2 - -4) + -1 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-37)\/(3 - 225))\/(20\/64). Suppose s + 16\/15*w + 2\/5*w**2 = 0. Calculate w.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -177 + 149 + -2 - (-25 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -1991 and -1991 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -20 + 12. Let x be 20\/u*16\/(-10). Suppose 36 - 12 = x*o. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 9 = 95272*r - 95271*r, -7*v + r = 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 6*q - 10 = 0. Let u be ((-4)\/(-6))\/((-2)\/3). Sort 4, u, q in descending order.\nAnswer: 4, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w + 2 - 2)*(-4*w + w + w) + 3793*w**2 - 3800*w**2 + 252 + 52*w - 253.\nAnswer: -9*w**2 + 52*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9873 less than -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 403  (b) 2\/19  (c) -264  (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 + 10. Let l = 6 + r. Let q = 1.3 + -1.2. Which is the third biggest value?  (a) q  (b) l  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -8685*l**2 + 8686*l**2 + 0 - 5 + 5. Let x(z) = -254*z - 2. Give x(j(m)).\nAnswer: -254*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 110333322 (base 4) to base 9\nAnswer: 140876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 38\/6*(12 + -9). Let o be i\/38 + 95\/2 + 0. What is the highest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = 2*n - 30. Suppose -4*h + n = -5*q, 2*h - 1 = -2*q + 11. Suppose o + 3*o = -k + 35, o - 14 = h*k. Calculate the highest common factor of o and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/50*2)\/(-39*(-56)\/32760)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -1.2, -1\/2, 2\/15, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1\/2*(-153)\/765\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ahha when four letters picked without replacement from haffhfffhahf?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -334 + 514. Let j be ((-1)\/18)\/(h\/621). Let k = 1\/15 + j. Which is the biggest value?  (a) -5  (b) k  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -6*p**2 + 3*p. Let d be r(2). Let v be (2 - (-65)\/(-35))*189\/54. What is the third smallest value in v, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 6, 2\/9, 1219, -3?\nAnswer: 1219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 53 + -126 - (10 + (-1 - (-1 - -2)) + -1).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -929, -3, -1\/5, 1\/5, 2\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of 34\/3*y**3 + 0*y + 5\/2*y**2 - 30. Find the second derivative of s(l) wrt l.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 AM and 3:05 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4 - -7)*(-14)\/(-3). Suppose -q - 5 = -v. Is v a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -812, -4787, -11418, -20705?\n\"Answer: -1328*n**2 + 9*n + 507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g + 3 = 17 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence evab when four letters picked without replacement from {e: 2, a: 2, b: 5, w: 5, q: 2, v: 1}.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -34972\/185 + 936\/5. Is -3 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-74)\/13949*-58)\/(2*(-2)\/(-5))?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.3 + -0.2. Let q = -7 - -18. Is k != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -1*(sqrt(3) + (sqrt(3)*-1 + 0 - sqrt(3)) + 2 + sqrt(108))**2.\nAnswer: -74 - 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 172*w - 58. Let p be b(7). Let y(z) = 16*z**2 - 1146*z + p*z. Let j(d) = -d**2. Calculate y(j(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -286*s**2 + 11*s + 16. Let c(z) = 95*z**2 - 4*z - 6. What is 11*c(x) + 4*y(x)?\nAnswer: -99*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 254 + -217. Find the third derivative of j*b**2 + 80*b**2 - 91*b**5 - 160*b**2 wrt b.\nAnswer: -5460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29638 + -29615. What is the greatest common factor of b and 19711?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.4 in -0.4, -421, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.018 and 350.9721.\nAnswer: 6.3174978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**2 - 4*n - 13. Is r(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-1)\/(-1))\/(-1 + 12\/11). Which is bigger: 43\/4 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -4c3b9c8 + -2?\nAnswer: -4c3b9ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-162)\/(-5) + 4\/(-10). Let q = 180 - 181. Let n = 47 - q. What is the highest common factor of c and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 n, 1 s, and 1 y when four letters picked without replacement from mnmrmnnrrrssyww.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 108303 to the power of 1\/2, to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18303976?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (-24)\/10*(-88)\/(-24)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 158 and 1950194?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of k**5\/140 + k**4\/84 - k**3\/21 + 5*k. Factor t(r).\nAnswer: r*(r - 1)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 24838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -510, -778, -1162, -1668, -2302?\n\"Answer: -d**3 - 52*d**2 - 105*d - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -28 + 20. Let o be z\/(-14)*1\/(-2). Let c = 73 - 76. Is c > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/((2\/8)\/(152\/(-76))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v = 2*v + 1268. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 125480*b + 1631. Is v(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 2*v**2 - 11*v + 31. Calculate h(5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -4 + (sqrt(20)\/(sqrt(400) - sqrt(400)*2) + (1*sqrt(605) - (1 + sqrt(5) + 1)))**2.\nAnswer: -198*sqrt(5)\/5 + 9701\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*r + 311*r - 100*r + 949 = 0 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b = 4, 5*b = 3*j + 2*b + 120. Let z = j + 113. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 144\/5, 30, 7\/4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-3 - 538\/(-96)) + -2 and -107\/10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*q = -14*q. Solve -4*f = 4*z - 4, -z + 2*f + 0 + 7 = q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 669953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*h + 165 = -1287. What is the remainder when 81 is divided by h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9 - -45924?\nAnswer: 4591a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10768 and 776642.\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4*o = -24, -5*o - 3 = -z + 18. Solve z*r - 5*y = 4*r + 16, -r - 5*y - 22 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80*k + 44*k - 301670 = 27*k. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 6) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(320)*-2*5 + sqrt(320) - (5*-2*sqrt(320))**2.\nAnswer: -32000 - 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from crvrhvivshvi. Give prob of sequence cs.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 22 and 9.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(11) + (sqrt(77) + sqrt(77) + sqrt(77)*-2)\/sqrt(7))**2 + 3 + (6*(sqrt(704) + -1 + 2))**2.\nAnswer: 586*sqrt(11) + 25419","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0.358 times -12134\nAnswer: -4343.972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -2 - (168\/896 + (-93)\/48). Sort 5, 21, j, 0.2, 3.\nAnswer: j, 0.2, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-0.024\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 104*m - 1394 - 478 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/8)\/(1\/(-4)). Suppose -3 = -4*r + f. Calculate the remainder when r is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 12 - 2 = 0. Let t be -1 + 2 + c\/2. Suppose -3*h + 41 = -0*s - t*s, 0 = h + s - 17. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -192*g = -42*g + 121971 - 119721 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 58955 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.0709, 5, 0, 28\/3, 3 in descending order.\nAnswer: 28\/3, 5, 3, 0, -0.0709","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -4*v + 25. Let h = -3 + v. Solve h*i + 0 = 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 232084 (base 9) to base 12\nAnswer: 68757","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -56246, -225004, -506280, -900086, -1406434, -2025336, -2756804?\n\"Answer: -2*f**3 - 56247*f**2 - 3*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) be the third derivative of g**6\/120 - 7*g**5\/60 + g**3\/2 + 2*g**2. Let y be t(7). Suppose -y*l = 4*l - 266. Is 17 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 45614*d**3 - d**2 + 1141*d - 1.\nAnswer: 273684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 13*t = -23, 0*t = t - 2*t. What is the third biggest value in 5\/11, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-10693)\/17612)\/((-2)\/168)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ullaudlualglj. Give prob of picking 2 l, 1 g, and 1 j.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 3, -2\/5, 2 in decreasing order.\nAnswer: 3, 2, -2\/5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*f**3*q + 2774*f**3 - 5*f**2*q + 2*f*q + 6*f + 2*q - 1345 wrt f?\nAnswer: 90*q + 16644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 614 + -407. Let s = 207.000002632 - r. What is s rounded to seven dps?\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10096 + -10095.98. What is the second biggest value in -2, -3.02, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -796663, -796660, -796657, -796654, -796651?\nAnswer: -796648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 16.477 - -0.123. Let c = 18 - v. Let d = 1.39991 - c. Round d to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 - 3 + 2 - 2 - 1 + (2 + 2 - 3)*(3 - 3 - 1))*(18*b - 28*b + 13*b).\nAnswer: -27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 19 = 1. Suppose b = -0*v - 2*v + 28, -5*b = u*v - 68. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6.36 + -4.09. Let t = y - 2.27. Let k = 121\/3 - 40. What is the nearest to k in t, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of 7*w**4\/12 - 46*w + 3. Let b(k) = 5*k - 5. Determine q(b(n)).\nAnswer: 175*n**2 - 350*n + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by 64\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 57537.\nAnswer: 3, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 753 a factor of 454011363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -7156854 times 0.4\nAnswer: -2862741.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, c: 9}. What is prob of sequence ucc?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*u - 2*u + 3*u + u + (2 - 2 + 2)*(-u - 4*u + 4*u) + 2*u - 5*u + 4*u + (-1 + 4*u + 3 - 1)*(3 - 3 - 4).\nAnswer: -17*u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h*h\/h**(10\/11))\/h)\/h*h*((h\/h**(6\/19))\/h)\/h*h**19\/h*h**(-16)*h assuming h is positive.\nAnswer: h**(371\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -40380.80982 rounded to the nearest one hundred?\nAnswer: -40400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 7.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -139  (b) 13  (c) 2\/13  (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-10 + 6)*(-2 + 3)\/1. Let x(r) = 4*r + 5. Give x(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 116523, 116541, 116559, 116577, 116595?\n\"Answer: 18*w + 116505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggseseegeeesemegge. Give prob of picking 1 e and 1 g.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/1*1 + -9 + 6. Let i(l) be the third derivative of 4*l**2 - 1\/60*l**5 + 0*l**4 + 0*l**3 + 0*l + t. Let m(c) = -2*c. Give i(m(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -8 + -49da5?\nAnswer: -49dad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*(-97)\/(-2)*1. Suppose -93*s = -w*s + 20. Suppose 0 = -3*h + 6*h - 5*z - 58, -103 = -s*h + 2*z. What is the highest common divisor of h and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 61122\/47 or 1301?\nAnswer: 61122\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(0 + sqrt(19)))**2 + sqrt(19) - (sqrt(19) - (1*sqrt(1900))**2) - (5 + -1*sqrt(19))*1.\nAnswer: sqrt(19) + 2370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 2\/17  (c) -1\/9  (d) 0  (e) -647\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -34.474*18\nAnswer: -620.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10352 + -10351.961588. Round l to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 528478067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 - 17*t**2 + 2*t + 39. Let l be r(-17). Solve 0 = 4*m - 4*h + 24, -3*m + l*m + 8 = -2*h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.1 - 0.1. Let g be 3\/(-5) - (-17 - -16). Is g at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(38)\/sqrt(2) + 0)**2 + (sqrt(171) - (1*sqrt(171))**2 - sqrt(19)) + sqrt(76) + 3 + (sqrt(19) - 1*sqrt(171)).\nAnswer: -149 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 956237 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15141?\nAnswer: 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -15 - -16. Suppose 5*h - 26 = -3*o, 3*h - m = 5*o + 1. Let q = 8 + -7. Which is the closest to 2?  (a) q  (b) 0.1  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.312627035 to two dps.\nAnswer: 3.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110111100 + -1110?\nAnswer: -111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(153) - 3*(-1 + sqrt(153) - sqrt(153)))**2.\nAnswer: 18*sqrt(17) + 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 - (-5 - (4 - (-3 + 12))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5189 - -0.4083.\nAnswer: -5188.5917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = g + 8, 2*i + 24 - 37 = 3*g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -415093667\/161 + 2577564. Let w = 4593\/7 + p. What is the common denominator of w and ((-6)\/(-28))\/(3\/(-88))?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/6  (b) 3\/24893  (c) 2\/395\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/8*(-68)\/(-34)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -59*x - 2041. Let i be u(-35). Solve i = -36*g + 96 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6809 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 65 = -9*l, -4*l + 1187 = 5*b + 592 + 613 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*c**2 - 5*c**2 + 3*c**3)*(0 + 3 + 7) in the form i*c + l*c**2 + n + b*c**3 and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the third derivative of -11*f**4\/24 + f**2. Let j(a) be the first derivative of 3*a**2\/2 + 9. Determine j(l(o)).\nAnswer: -33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7.7 - 8. Let y = -203 + 2235\/11. Let f = -25\/44 - y. What is the smallest value in v, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n - 4*n = -18. Let f be (-225)\/(-54) - (-1)\/n. Solve -j - 2 = -f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -436, -438, -440?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -59*c**3 - 6*c**2 - 15. Let z(t) = -61*t**3 - 7*t**2 - 14. Let i(b) = 7*f(b) - 6*z(b). Find the first derivative of i(n) wrt n.\nAnswer: -141*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -5, 13539 in ascending order.\nAnswer: -5, -4, 13539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 5*y - 4. Let i be (-15)\/(-3)*4\/(-4 - 0). Let w be h(i). Find the common denominator of 127\/36 and -298*4\/(-192) + w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 11.1 and -7.\nAnswer: -77.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.3  (b) -6  (c) 15358  (d) 0.2  (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -336 + 529. Suppose 6*b - 623 = l. Let k = b + 48. List the prime factors of k.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 5*o**2 + 6*o - 8. Let x be d(4). Suppose -2*w + w + 2 = x. Factor 1 - 6*c + 45\/4*c**w - 27\/4*c**3.\nAnswer: -(3*c - 2)**2*(3*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*x - 65 + 65 + (2*x - x + x)*(33 + 12 - 94) in the form a + p*x and give p.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 2*s**3 - 3*s + 11. Calculate i(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-4)\/(-12))\/(24\/(24\/(-5))))\/(6\/(-10))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 847, 1684, 2521, 3358?\nAnswer: 4195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 34*(-313)\/3904 - (17 - 19). Let u = -17\/244 - p. What is the common denominator of -91\/48 and u?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.65 - 6.1. Let i = 12.25 + -12. Let p = i + d. Which is bigger: 0.8 or p?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, 19888, -4 in descending order.\nAnswer: 19888, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -394, -795, -1202, -1615?\nAnswer: -2034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - (-3)\/6)\/((-2)\/(-716)). Suppose q = c + 1. Is (6\/1)\/(-6) + c\/2 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 7.8 - -1.2. Let z = -2 + 1.9. Is z smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) - (-2 + sqrt(65)\/sqrt(5) - sqrt(13)))**2 - (sqrt(1872) + sqrt(13))*5)*-6.\nAnswer: -102 + 366*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**2 - b + 0*b + 2*b)*((-6*b + 4*b + b)*(-3*b + 3*b + 3*b) + (-b + 3*b + 0*b)*(14*b - 75 + 75)).\nAnswer: 50*b**4 + 25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 706128 is divided by 886.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 904388.\nAnswer: 2, 311, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/435  (b) -0.16  (c) 1\/2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 4*w - 0*w + 5*c, -10 = -2*c. Suppose w*y - 5*v = 27, 0 = -2*y - 2*v + 12 + 22. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-12)\/24)\/(1\/(-2958)). Let x be (k\/(-34))\/((-2)\/4). Let o = x + -37. What is the remainder when o is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**2 - 22*k + 25. Let i be y(-19). Let v = -75 + i. Let b(r) = v*r**2 + r**2 - r**2. Let l(g) = -3*g**2. Calculate b(l(d)).\nAnswer: 63*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 97.3*-126\nAnswer: -12259.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of p**2*s**4 - 4*p**2*s**3 + 620*p**2*s + 97*s**4 - s**2 + 1 wrt s?\nAnswer: 24*p**2*s - 24*p**2 + 2328*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -9*c**2. Let m(n) be the third derivative of 0*n**3 + 0 + 0*n - 1\/24*n**4 + n**2. Determine m(u(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**3\/7 - 160*b**2\/7 - 6716*b\/7 + 14040\/7.\nAnswer: 4*(b - 65)*(b - 2)*(b + 27)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 6, 32*o - 37*o = -2*b + 18. Suppose -b*u + 7475 = -4229. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(1100) + 0)**2 - (1 + sqrt(1584)).\nAnswer: -12*sqrt(11) + 1099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36715*t**2 + 73427*t + 6 = 0 for t.\nAnswer: -3\/36715, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wlwlllwlllwllw. Give prob of sequence wwl.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 83.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11567*j = -11525*j - 252. Solve o - j = 5*s + 10, 18 = -5*s + 3*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jc when two letters picked without replacement from kcjcktakazckkkkjckaz.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1314.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 - 11*g**2 - 8*g + 25. Calculate f(-11).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (87\/(-27) - -3) + (-32)\/18. What is the units digit of (a\/(4\/(-201)))\/(6\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -158 + 0?\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 3617*w. Let z(i) = i. What is z(q(x))?\nAnswer: 3617*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 25 = -0*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1 + -10 + (-1)\/(-1). Let t = z + 22. Calculate the highest common divisor of 21 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 66\/62 - 11\/(27 + -16)\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -1113.\nAnswer: -1\/1113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (20\/(-6) - -4)\/(24\/18)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -387 - -4241\/11. Which is bigger: v or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10044 (base 5) in base 13?\nAnswer: -3ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 339594627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -1*(8\/4 + 1). Let d = -5 + 7. Put k, d, -2 in descending order.\nAnswer: d, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {n: 6, g: 8, b: 3, f: 2}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -5*b + 355, -2*c - b + 177 = -6*b. Suppose -8*l + 28 = -c. Calculate the remainder when 14 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2968\/70 + (-2)\/5. Let y be 2\/6 - 5\/((-45)\/b). What is the closest to 0.1 in 29, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 174 is divided by 167.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 - 5*y + 3. Let w be r(-12). Let a be 0 - -3*(-6)\/w. Solve -4\/9*v + 2\/3*v**3 + 2\/9*v**4 - a*v**5 - 2\/9*v**2 + 0 = 0 for v.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:10 PM and 4:40 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -34656 + 53175. Calculate the remainder when r is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -2\/7, 0.1, 0.5, 0.99 in descending order.\nAnswer: 0.99, 0.5, 0.1, -2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 23, 31, 43, 59?\n\"Answer: 2*f**2 + 2*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -0.001  (b) -2  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 14.7 - 15. Which is the fourth biggest value?  (a) -11\/5  (b) -3\/5  (c) 3\/5  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1001102100 (base 3) to base 11\nAnswer: -14625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5005 + 5010. Solve o - 3 = 4*t - 5, 2*o = -v*t + 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01321086166 to six dps.\nAnswer: 0.013211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 - 5*y + 4. Let k be c(-4). Let v = k + -6. What is the units digit of (-30)\/(-7) + v\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -6 - 1b976b3a?\nAnswer: -1b976b44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of 9*n**2\/2 - 3*n - 17. What is the smallest common multiple of 57 and k(1)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(5) + (sqrt(50)\/sqrt(2))\/sqrt(5) + sqrt(60)\/(sqrt(36)\/sqrt(3)))**2*1.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7897 + -7887. Let d(r) be the second derivative of r**4 - 3*r**3\/2 - 23*r**2\/2 + r. Is d(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is c6 - 13?\nAnswer: b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2286.8*50.93.\nAnswer: 116466.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (4 + -2 + 0 - 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9848 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 624*h + 312*h + 313*h - 1 - 73*h**2 as y*h + z*h**2 + r and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of -13*f**6\/3 + 10*f**3\/3 - 37. Find the third derivative of a(u) wrt u.\nAnswer: -1560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 0 + 1 + -2 + 10 + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 876*l + 13216 = -13940 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19055521423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 190\/3 + 188\/3*c**2 + 1\/3*c**3 - 379\/3*c.\nAnswer: (c - 1)**2*(c + 190)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -4147304\nAnswer: 1\/592472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 510399 divided by 78?\nAnswer: 170133\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 11*s. Let o(h) = -5*h. Determine -10*o(y) - 4*t(y).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + 3004144422?\nAnswer: 3004144413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - ((13 - 43) + 28).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 13\/5 + 18\/45. Suppose 4*j + 2*h - 24 = 0, j - r*j + 20 = 3*h. Solve -j*g + 0 + 20 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 70 and 479640.\nAnswer: 479640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 14  (b) -2  (c) -3  (d) -216\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5\/4?  (a) -5  (b) -1\/2  (c) -1  (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3\/4*d**4 - 51\/4*d**3 + 0*d - 105\/2*d**2 + 0 = 0 for d.\nAnswer: -10, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 32, 5, -3, 7 in decreasing order.\nAnswer: 32, 7, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 4*g + 22, -2*z + z - 34 = 4*g. Let f(v) = -42*v - 7. Is f(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aavwzazzzv. What is prob of picking 1 w and 1 v?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 258 - p**3 + 44*p - 15*p + 19*p**2 + 245 - 459 + 35*p = 0. What is p?\nAnswer: -2, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the third derivative of -1\/6*s**7 + 0*s**4 + 0*s**6 - 59\/60*s**5 + 0*s**3 + 24*s**2 + s + 0. Find the third derivative of o(h) wrt h.\nAnswer: -840*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from summmaa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 556 + -577 - (0 + 0).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -51 + 43011?\nAnswer: 42850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 12*u + 39. Let j be n(-3). Let p be (j\/(-2))\/((-21)\/154). Solve x + 3*q = -3*x - 9, -q = 4*x + p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 50 - 84. Let q = i - -34.062. Round q to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -15*(-1 + -1 - (-6)\/2). Sort b, 2, 1.\nAnswer: b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 277 + -253. Calculate the greatest common divisor of n and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 6887476845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 4*s - 40. Let c be g(11). Suppose c*j = 5*j - k + 3, 3*j - 15 = -5*k. Let o be 1*22\/(-2) - -2. Put j, o, 4 in descending order.\nAnswer: 4, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/11 + 21470\/8360 - (-6)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q + 692 = p, 324 = -3*q + 2*p - 87. Let i = -141 - q. Sort i, -43, 2.\nAnswer: -43, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -358 + 713. What is the highest common divisor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.2317 + 20.1783. Let p = -0.41 + l. Let w = 23 - p. Which is the second smallest value?  (a) w  (b) -1\/5  (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 5. Suppose -2*h = -3*a + 5 - 0, 4*a - y*h = 8. Let r = 37 + -8. Solve 7 = -u - m - a, r = -4*u - 3*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22027000 rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 732023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 93 = 105 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1449*g**3 + 777*g**2 + 5464688 with respect to g.\nAnswer: 4347*g**2 + 1554*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sum 185 and -2.325.\nAnswer: 182.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -24\/17?  (a) -1  (b) -62\/3  (c) -4  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 - 31. Let q = y + 22. What is the units digit of (q - 2 - -50) + (-3)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81381793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 + 7*i**2 + 2*i + 7. Let c(b) = -b**3 - 7*b**2 - b - 7. Let z(o) = 6*c(o) + 5*q(o). Is z(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((u + 2*u**2 - u)*(4 - 3 - 3) - 62*u + 62*u + 38*u**2)*(-2*u - u + 2*u) to o*u + k*u**3 + n + b*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -131132 + -318868. What is y rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*s + 55 = 24*s. Is -4*(10 - s)*(-7309)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l*y**2 + l*y - 406*l - 43*y**2 wrt y?\nAnswer: -2*l - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 - -15.6?\nAnswer: 15.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1009 + 177?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -8*d - 24. Let k be v(-23). Let j = -43 + k. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - 13*w**2 - 2*w + 5. Suppose -2*n + j - 14 = -n, -n - 2*j - 11 = 0. Calculate the remainder when g(n) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 9*b**2 - 2*b - 3. Let r be -45 - (2 + -2)\/(4 - 6). Let n = 48 + r. Does 6 divide d(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 PM and 7:27 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 18, 66, 116, 168?\n\"Answer: y**2 + 45*y - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**2 + 27*q - 42. What is r(12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -105, -58, -11, 36, 83, 130?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 26 = -3*n + 9, -2*n = l - 24. Suppose n = 5*f - 17. Suppose -f = -2*z + 10. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6218 - 6219. Let w(q) = -3*q**2 + 9*q + 10. What is w(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (-1 + sqrt(612))**2 + 2)*2 + 4 + -3 + (sqrt(68) - (-1 + sqrt(68) - sqrt(68)))**2 + (sqrt(2057) + 0 - sqrt(2057))**2.\nAnswer: -20*sqrt(17) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -440 - -456. Let d be 1 - (1 + 0) - -2. Solve p + r - 1 = 0, d*r - 6*r = v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1700) - (sqrt(1700) - (sqrt(1700) + -2 + sqrt(1700) - sqrt(1700))**2)) + sqrt(1700) + 4 - (sqrt(833) + (sqrt(833) + 5 + sqrt(833))*-3)**2) + 1.\nAnswer: -19341 - 1080*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 32330212 - 10?\nAnswer: 32330202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -25638*i**3*r - i*r**3 - i*r**2 + 259620*r**3 wrt i?\nAnswer: -76914*i**2*r - r**3 - r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h - 9. Let y be l(-7). Suppose -d + 12 = 2*d. Suppose y = d*n - n. Solve -11 = a - 3*j, a = -n*a - 4*j - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2\/41)*a**(-3\/10) assuming a is positive.\nAnswer: a**(-143\/410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 108*v. Let p(w) = -2*w + 198 - 198. Determine p(t(n)).\nAnswer: -216*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 70 = 13*p. What is the greatest common factor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 182215 + 68991 = 4*n, n = 3*w + 84934. Let c be 1 - -2 - (-84960)\/w. Let x = c + 427499\/16986. Find the common denominator of 6\/5 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 17*j**2 + 80*j - 75. What is the units digit of v(23)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-1\/12)*t)\/t)\/t*t**(3\/7))\/(t**(1\/18)*t*t**(-4\/7)) assuming t is positive.\nAnswer: t**(-5\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 + 7 + (1 - -8 - 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 124 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 71*t**3 - 6*t**2 + 696*t - 18. Let w(x) = x**2 + x + 3. Let d(c) = -m(c) - 6*w(c). What is the second derivative of d(v) wrt v?\nAnswer: -426*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 250 and 41240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qcg when three letters picked without replacement from tcgqcqqgqtg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 333\/74*2\/12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 19 + 91. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 5644816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1079 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -181\/24 + 77939\/10344. Which is bigger: o or -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*f = x + 13*f + 11, -21*x + f = -81 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 71628 and 8037.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: What is -12022101000 (base 3) in base 7?\nAnswer: -613500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 648 a factor of 2612736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 50661, 50664, 50667, 50670, 50673, 50676?\nAnswer: 50679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 161685260 is divided by 921?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a milligram in micrograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 15399419*m - 3607673?\nAnswer: 15399419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -6210 divided by 621\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 0 - ((-6 + -7 - -1) + -14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) -2\/3  (c) 0.81  (d) -1\/2  (e) 90  (f) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3262036 a multiple of 461?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 2, 0.1, 422, 0.3, -5 in ascending order.\nAnswer: -5, -0.1, 0.1, 0.3, 2, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2 - 2*p - 2 + 3*p + 3. What is the units digit of w(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of -n**8\/560 - n**5\/60 + n**3 - 2. Let d(s) be the third derivative of f(s). What is the second derivative of d(w) wrt w?\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1494 and 75393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-5))\/d*d*d**(1\/11)*d*((d**11*d)\/d)**(-42))**(-18) assuming d is positive.\nAnswer: d**(90072\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b**3 - 4*b**2 - 2170*b + 15053. Give v(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 7*p - 2. Let d(q) = -13*q + 3. What is -4*d(t) - 7*n(t)?\nAnswer: 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (4 + 4*(3*sqrt(180) - sqrt(180)))**2.\nAnswer: 384*sqrt(5) + 11539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, 0.131, -4.2, -0.7?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 11 - 11. Suppose p*h + g = 3*h + 13, h = -4*g. Suppose 16 - 61 = -9*c. Sort -2, c, h in descending order.\nAnswer: c, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -969*r - 4792. Calculate s(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2721 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 222120 and 1656.\nAnswer: 5108760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 2*a**2 - 23 + 87 + 117 to the form s*a**2 + t + w*a and give t.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 811051 is divided by 16895.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.791312 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.06, 1.635, -2, 0.3 in increasing order.\nAnswer: -2, -0.06, 0.3, 1.635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*a**4 - 2*a + 2*a + (-a**2 + 5 - 5)*(a**2 + 0*a**2 + a**2) - a**4 - a**3 + a**3)*(-337*a - 18*a - 76*a + (0*a + 3*a - 2*a)*(1 - 6 + 4)).\nAnswer: 3888*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 12 - (-3 - (-20 - -19)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 y when four letters picked without replacement from {w: 11, y: 2, q: 1, u: 2}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {i: 2, g: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 15762414182 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that -2*k**5\/9 + 890*k**4\/9 - 9434*k**3\/3 + 16222*k**2 - 23016*k = 0.\nAnswer: 0, 3, 28, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2243 - 133?\nAnswer: -2420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8943, 71520, 241375, 572148, 1117479?\nAnswer: 1931008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a + 13*a + 6*a.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 588255*p - 2353020. Determine g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 525?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 2*y = -2*y + 1214, -5*k - 2*y = -2028. Let b = 439 - k. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 924783 by 4.\nAnswer: 924783\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6385040 and 6.\nAnswer: 19155120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q, 1 l, and 1 y when three letters picked without replacement from ekqyl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/345855, 5\/4, -2\/3?\nAnswer: 4\/345855","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -210  (c) 2\/42857\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -569 + 569. Let y = 168 + -117. Let a = y + u. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6 - -10. Suppose 0 = 4*s - 2*s - 8. Suppose -5*f = -s*n - 23 + 78, i*f = -12. What is the remainder when n is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -13392 by 279.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 8:25 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 84411.4 kilograms?\nAnswer: 84411400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1728, 2, -2, 1, -11 in decreasing order.\nAnswer: 5, 2, 1, -2, -11, -1728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/7083503 and 86\/1425753?\nAnswer: 446260689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11707\/(-230) + 51)*6\/8.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10363 and 20726?\nAnswer: 20726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1038)\/(-4)*(-2)\/(-12). Let n = -46 + s. Calculate the common denominator of (-68)\/72 + 1 - (-1794)\/9504 and n.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*q**3 + 546114418*q**2 - 68*q - 546114418*q**2.\nAnswer: 3*q**3 - 68*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 - 55*u + 44. Let z(t) = 5*t**2 + 280*t - 219. Let f(s) = -22*m(s) - 4*z(s). Suppose f(x) = 0. What is x?\nAnswer: -46, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 466.7142 decades to years.\nAnswer: 4667.142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from mootomraataoha?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 4*d - 28 = 0, -8 = 3*y + y + 2*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(168)\/(sqrt(7)*-1) - sqrt(216)*-5)\/(sqrt(432)*-2*6*-2).\nAnswer: 7*sqrt(2)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.6 - -1. Let g = 0.3 + -0.1. Let q = g - n. Which is the third smallest value?  (a) -2  (b) q  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 216 - 219. Put s, -4, -25, 3 in descending order.\nAnswer: 3, s, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000056083 rounded to 7 dps?\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 499105498?\nAnswer: 2, 2963, 84223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 + (-52 - -68) - (2*9 - -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 3789775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36, -45, -44, -27, 12, 79, 180, 321?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -231925 (base 11) in base 5?\nAnswer: -43242342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 97, 198, 305, 418, 537, 662, 793?\nAnswer: 930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1108271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(228) + 2*sqrt(228) + sqrt(228) + sqrt(228))\/sqrt(12) + 1.\nAnswer: 1 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1859132482 to the nearest integer?\nAnswer: 43118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9935.9974255 + 9936. What is a rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 + 9*z + 16. Suppose -260 - 208 = 78*f. Give t(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*g**3 - 1 + 0 + 5*g**3 + 22*g**2 + 2 - 2*g**4 to the form c + n*g**2 + z*g**4 + j*g**3 + s*g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(91\/(-2184)*3).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5770753, 11541515, 17312277, 23083039?\nAnswer: 28853801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, d: 1, l: 1, y: 2, e: 2}. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/11, 3, -16.6, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1846 - 1568 - 1691 = -1021*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of c*s**5 + 16436681*c*s**2*t - 2*c*s*t + 1287*c - 42*s*t - 2*s - 2*t wrt s?\nAnswer: 20*c*s**3 + 32873362*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 442192.\nAnswer: 2, 29, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -707 divided by -2\nAnswer: 707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8824 is divided by 91?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 515.15 + -511. Let h = 0.85 + n. Which is the biggest value?  (a) 0.4  (b) -1\/4  (c) h  (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 229 + 9 - 237. Let s(d) = -d - 5. Let y be s(-5). Suppose -f + 2*u + 0*u + 5 = y, -4*f + 13 = -u. Let t(g) = 2*g - 4. Calculate f*p(b) + t(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 3*a - 18. What is the third derivative of -4*p**3 - 6*p**4 + 4*p**2 + a*p**3 - 2*p**3 wrt p?\nAnswer: -144*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 745\nAnswer: 3\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -8, -2, -0.28.\nAnswer: -8, -4, -2, -0.28, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 359559 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-17)\/(-15) - 14\/105. Let n = -59.72 + 52.72. What is the fourth smallest value in n, 1\/4, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -149 (base 11) in base 12?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*k = -66 + 48 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13712*i - 960513 = -542*i + 75160 - 47923 for i.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1*(6\/2 - 3). Let z = 6 + -4. Which is the second smallest value?  (a) 5  (b) q  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 152 + -88. Suppose 40 = -c + h. Suppose 0 = -8*s + 11*s - c. What is the highest common factor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the first derivative of -86*r**2 - 146*r + 738. Find the first derivative of j(t) wrt t.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11010011010110 (base 2) in base 9?\nAnswer: -20488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 55 + -60.6. Let o = 6 + g. Is o < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 + 3 = 2*v. Let t = v - 5. Solve 4*k - 18 = -i, 3*i + k = 5 + t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 542614?\nAnswer: 2, 53, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3002*m**3 - 1412*m + 724*m + 688*m.\nAnswer: 3002*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*u**2 - 5*u**2 + 4*u**2)*(-90*u + 11 - 92*u + 188*u).\nAnswer: -90*u**3 - 165*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from wtgwgxwtttgwttgtwtg.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 13*h - 48 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and 142.84302.\nAnswer: 142.84302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28a48 (base 11) to base 16.\nAnswer: a0e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 18 = 5*s + 53, 5*i + 13 = 3*s. Let a = i - -19. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o**4 + 29*o**3 + 4*o**2 - 261*o + 126 = 0. What is o?\nAnswer: -3, 1\/2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.05, -14 in increasing order.\nAnswer: -14, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 14*z + 5. Let g(y) = 1855*y + 294. Let m(s) = 109*s + 17. Let i(v) = -5*g(v) + 84*m(v). Determine -5*i(n) - 42*j(n).\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzvvzvzzzvvzvvvvz. What is prob of picking 4 z?\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 5 + 6588*t**2 - 6144*t**2 as k*t**2 + q*t + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of 515*i**4\/4 - 3*i**3 + 6729*i**2\/2 + 3264. Find the second derivative of y(v) wrt v.\nAnswer: 3090*v - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -2*x. Let b = -17 - -19. Let j(y) = -4*y**b - 6*y**2 - 4*y**2 + y**2. Give j(t(q)).\nAnswer: -52*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -2*u**3 + 7*u**2 - 20*u + 357. Let m be t(11). Is -1678 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1782 = -93*j + 8*j + 31*j for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 - 12 = -5*z. What are the prime factors of (-88)\/z + (0 - 1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 8 + 4 = 0. Let w be (-910)\/(-21) + 2\/r. Let y = w - -22. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t, 1 r, and 1 a when four letters picked without replacement from qalttqrl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -66*t. Let l(z) = 475*z. Calculate p(l(c)).\nAnswer: -31350*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39) + (sqrt(468)*1)\/sqrt(12))\/(sqrt(336)\/sqrt(7)) - (-1 + 1 + sqrt(13) + -5 + 3).\nAnswer: -sqrt(13)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -2*l + 5*g + 23, 5*g - 78 = -3*l. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from upcdp. What is prob of picking 2 p, 1 d, and 1 u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -57486 - -585264968\/10181. Let c = n - 437927\/733032. Find the common denominator of -53\/24 and c.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -6*n + 10. Let p(d) = d - 1. Let r(f) = 10*p(f) + 2*z(f). Let v be r(7). Which is the second smallest value?  (a) v  (b) 3\/4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3647128 or -18?\nAnswer: -3647128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126744 is divided by 57.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*j**3 - 4963*j + 4963*j - 2*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (35 + -91 - 33) + 82?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -487 - -490. Suppose w*o + 2*v - 4 = 13, 5*o - v = 11. Solve 2*j - 6 = -i, -i + 4*j = o*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.15*4.7.\nAnswer: 0.705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -229.8 - -292628840741.\nAnswer: 292628840511.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 4*z**2 - 15*z - 7. Let q = 105 + -101. Determine r(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -22, -1521, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -8 - -13. Suppose -162 = -3*j - 159. Calculate the highest common factor of r and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/2, 2.2, 6713286?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r + 15 = 12*r. Suppose r*k = 110 + 136. What is k rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-1 + (sqrt(304) + 2)*6)**2.\nAnswer: 528*sqrt(19) + 11064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1410 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -14*n + 8. Let i(d) = -5*d + 3. Let l(q) = 8*i(q) - 3*s(q). Let w(f) be the third derivative of -f**4\/8 - 3*f**2. Give w(l(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 2\/105  (b) 0.02  (c) 4  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66\/210*966\/759?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1341*r = 1389*r - 2129*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*s + s + 4*s)*(1 - 2 - 1) - 2*s + s + 3*s + (-7*s + 5*s - 2*s)*(-1 - 12 - 5).\nAnswer: 78*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -454862 + 634*l + 454862 in the form u + i*l and give i.\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4*201\/(-252) + (-28)\/(-196). Determine p, given that -2 - z*p - 2\/3*p**2 + 2\/3*p**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1*(-3)\/(3\/145). Let n = 72 + y. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35067 + 244877\/7. Let q = 2946\/35 + o. Let s be ((-2)\/(-6))\/(1\/(-3)). What is the second smallest value in s, q, -4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86984524 divided by 524?\nAnswer: 166001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 751474169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2965082 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**2. Let u be (-10)\/4*(-4)\/5. Let r(b) = -b**3 - 4*b**2 - 5*b - 2. Let o be r(-3). Let h(d) = -o*d**2 + d**u + 0*d**2. Determine h(q(a)).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001781354068 rounded to 7 decimal places?\nAnswer: -0.0001781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20acc5 (base 13) to base 12.\nAnswer: 30b875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1300.9 + 1058. Let f = b + 257. Round f to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 211242380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**2 - a - 8. Is 10 a factor of f(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t**2\/7 - 34068*t = 0.\nAnswer: -119238, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 794987?\nAnswer: 71, 11197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 679*l + 981*l + 1479*l + 315773 = 242*l for l.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 565*j**6 + 1393*j**6 + 35*j**2 - 7 - 1 + 432*j**6 wrt j?\nAnswer: 286800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 451?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1596551076 to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 9:54 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 17, 1221, 2425, 3629, 4833, 6037?\n\"Answer: 1204*u - 1187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 143 - 135. Is 11814\/h + ((-51)\/(-12) - 4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22 divided by -4\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 476644 is divided by 139?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2366 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (24\/10 + -2)*5. What is the derivative of 8*a**j - a - 1 - 2*a + 3*a wrt a?\nAnswer: 16*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1007 and 1720963?\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - c + 4 = 0. Let t(j) = -3*j + c*j + 0*j. Let w(g) be the first derivative of -2*g**3\/3 + 7. Calculate w(t(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1093927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -7603428, -15206846, -22810264, -30413682, -38017100, -45620518?\n\"Answer: -7603418*g - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + 12. Let m = z - -123. Let a = m - 38. What are the prime factors of a?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13871, -13908, -13943, -13976?\nAnswer: -14007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 11:06 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -413\/4, -152, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 384459?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 134.0169 to 1 decimal place.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 204 + -303?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1088 and 694688?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/13, -2\/5, 0.2 in decreasing order.\nAnswer: 0.2, -1\/13, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 1004 (base 5) to base 9\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of -k**2 - 5*k - 33 + 18 - 10*k. Differentiate q(c) with respect to c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -17\/726 and (-4)\/(-5) - (-81744)\/(-110880).\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3b8 (base 14) to base 15.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a gram in micrograms?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 288 (base 16) to base 10.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-1 + 6 + (5 - 8))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f78 + 51ee?\nAnswer: 4276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-10)\/28*(-105)\/(-150)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -189*o**5 + 336933*o**4 - 240579*o**3 + 16027*o**2 + 19604*o - 3564 = 0.\nAnswer: -2\/7, 1\/3, 1782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 385.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-106)\/(-8) - (-2)\/(-8). Suppose -3*h - 5*k + 4 = -27, h + v = 3*k. Solve -8 = -3*o - h*q, 4*q + 3 = o + 19 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/4)\/u)**27*u*u**(2\/7)*u**2 assuming u is positive.\nAnswer: u**(-853\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + -1001111010?\nAnswer: -1001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 38 + 35*p - 31 - 75*p + 42*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of -6*t**2 + t - 75. Determine a(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 96775824 by 4032326.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**3 + 12*l**2 - 18*l - 10. Determine z(-13).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.9 - 0.1. Let i = -1.93 - 3.07. What is the third smallest value in b, i, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 5, 33, 4 in ascending order.\nAnswer: -3, 4, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j = -3*c + 13, -9*j = -14*j - c - 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 20 and 2660?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of -r**4\/6 - 7*r**3\/6 + 5*r**2\/2 + r. Suppose -b + 4*b - 3*m - 3 = 0, m = 4*b - 16. Let j be s(b). Round j to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 13099, 13651, 14203, 14755?\nAnswer: 15307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 18. Let b = y + -8. Let d(u) = -u**3 + 3*u**2 - 3. Let i(q) = -q**3 + q**2 - 1. What is b*d(n) - 3*i(n)?\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 714591 is divided by 548?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2126, 4258, 6394, 8534, 10678, 12826?\nAnswer: 14978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + (sqrt(1008) - sqrt(1008)*2))*4*3 + 2)**2.\nAnswer: 2880*sqrt(7) + 145252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 954745?\nAnswer: 5, 11, 17359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 870 - 659. Find the second derivative of 4*i - 29*i**3 - 21 - 5*i + o*i**3 wrt i.\nAnswer: 1092*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 655.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) -0.08  (b) 1\/3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 395.124825 to 1 dp.\nAnswer: 395.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 16896 + -84478\/5. Let 0 + 0*r + 1\/5*r**4 - f*r**3 - 1\/5*r**2 + 2\/5*r**5 = 0. What is r?\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(-2)*(-1629460)\/7210\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**2 - 4*m + 5. Let x(z) = 2*z**3 + 17*z**2 - 29*z + 12. Let w be x(-10). What is k(w)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -891*w + 9*w**2 + 891*w. Let o(x) be the second derivative of -x**3\/2 - 4*x. Determine o(n(s)).\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 8*w**3 + 69*w**2 - 3*w - 8. Calculate h(-9).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -347518 take away 3624891?\nAnswer: -3972409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -21.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r - 12. Let m be d(-6). Let b(t) be the second derivative of t**3\/6 + 4*t**2 + 3*t. List the prime factors of b(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5, 9, 25, 59, 117, 205, 329, 495?\n\"Answer: k**3 - 3*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:58 PM and 10:00 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3\/20530 + -134503\/215565. Find the common denominator of t and -101\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 60104763?\nAnswer: 3, 1987, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*c**3 - 561*c**3 + 31*c**3 - 2.\nAnswer: -561*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 349*t - 351*t - 14. Let r(p) = p - 10. What is r(t)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42, -81, -116, -147?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.3?  (a) -62\/5  (b) 0.1  (c) 49  (d) 1014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {x: 3, e: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5.75 - -5.868. Which is smaller: b or 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 - (20 - -18 - 13 - -6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 31, 25, 21, 19, 19, 21, 25?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 241105858 to the power of 1\/3, to the nearest integer?\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z\/z**(-29)*z))\/(z\/z**(-1\/6)*z) assuming z is positive.\nAnswer: z**(-199\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 4 + 2 = -i, 3*v = 2*i - 4. Is 266208\/120 - i\/5 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 0.3, 3\/8, -7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9 * 4568.\nAnswer: 41112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o = 5*f + 29 - 9, 5*f = -4*o - 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12443409?\nAnswer: 3, 11, 41897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*m + 0*m + 209003 = 1733603. Is 121 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7*(-21)\/(-9)*(-23)\/((-2093)\/(-78))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (2 + -4)) + 0 - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6973 divided by 379?\nAnswer: 6973\/379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(396) - (2 + sqrt(396)))*3)**2 - ((sqrt(55) + sqrt(1375) + sqrt(55))*3)\/(sqrt(5) + (sqrt(5) - sqrt(80)*-4)))*-1.\nAnswer: -576 + 7*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33306882.\nAnswer: 2, 3, 7, 37, 21433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide (-65625)\/150*4\/(3 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 330 = -u, -124*q + 120*q = -4*u - 264. Calculate the remainder when q is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -1\/19165  (b) -86  (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 + 11*k - 15. Calculate r(10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is b + d7d?\nAnswer: d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -80, 0, 984, 3, -3, 7 in increasing order.\nAnswer: -80, -3, 0, 3, 5, 7, 984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*w - 1 = -h - 7*w, -4*h = 4*w + 4. Let n(y) be the second derivative of -4*y**2 - 11\/20*y**5 + 7*y + 0 + h*y**3 + 0*y**4. Differentiate n(a) wrt a.\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 30*p. Let k(i) = -41*i**2. Determine k(s(z)).\nAnswer: -36900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 16 - 21. Let j(k) = -k**3 - 4*k**2 + 3*k - 3. Give j(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4497, 3518, 11533, 19548, 27563?\nAnswer: 35578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -1. Let q(m) = 14*m - 1. Let o(c) = 5*c. Let j(b) = -11*o(b) + 4*q(b). Determine j(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15579444*g**3*n + 55*g**2*n - 426*g**2 + g*n - 3*n - 1 wrt g.\nAnswer: -93476664*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2415 = o + 2*o. Is 12 a factor of o\/20 - (-1)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tttj when four letters picked without replacement from jtttttttttttt.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 128819 = 4*y - 476711, -3*q + 173954 = 2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i - 4 + 24. Suppose 3*v - d - 215 = 0, 5*d = -i*v + 37 + 275. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 2, d: 5, b: 3, c: 6, l: 1}. Give prob of picking 3 b.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1317*z - 3*a = -1312*z + 8, 5*z - 2*a = -28 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (300\/1125)\/((-612)\/10)*1*-9.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - a - 11, -98 = -2*a - 100. Solve -4*q + 3*j - 8 = m, 0 = q + 2*j - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 40210275*w**2 + 4418609*w - 6 wrt w.\nAnswer: 80420550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + ((((sqrt(1377) - (sqrt(1377) + sqrt(1377) + 0 - sqrt(1377))) + 3 - (sqrt(1377) + 1)*-1) + -5)**2 + 3)*4 + 3.\nAnswer: -72*sqrt(17) + 5531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q - 1. Suppose -15 = 5*r + 5*w, 4*w - 43 = -r - 34. Calculate h(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*s + 24*s = 2*x - 4, 0 = -s + x - 6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 greater than or equal to -625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1031170 divided by 515585?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -5 - -363?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -25 - 2*a + 41 - 26. Let y be z(-7). Suppose 0 = 3*s + y*o - 27, 7*s + 5*o = 2*s + 50. Solve 0 = 5*h - 2*m + 17, -4*m - s = 5*h - 2*m for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(102) - (sqrt(102) - (sqrt(102) - 1*sqrt(102)*1) - sqrt(102)))\/(sqrt(96) + 1*sqrt(96) + sqrt(96) + sqrt(96)))**2*-6 + -2.\nAnswer: 333\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 184695887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70*l + 72 = 74*l. Is l a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -142 + 140. Let q be (-12)\/r + 3\/9*-9. Suppose -3*a + 10 + 5 = 0. Sort -4, q, a in descending order.\nAnswer: a, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 19958380 to the nearest one hundred thousand.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 4*a + 16, 0 = 5*a - i - 4*i + 15. Let v = a + 107. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 23\/1254 and 56\/1045.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -50, 5, 10.9?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o - 2. Let x(m) = 4*m + 9. Let k(z) = 18*b(z) + 4*x(z). Let c(l) = 4*l**2. What is k(c(y))?\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hqqq when four letters picked without replacement from {h: 1, q: 7, r: 5}.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 5*a**5 - 2*a**4 - 5*a**3 + 5*a**2 + 3*a + 3. Let n(v) = -16*v**5 + 6*v**4 + 16*v**3 - 16*v**2 - 10*v - 10. Let c(t) = -10*i(t) - 3*n(t). Factor c(j).\nAnswer: -2*j**2*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 + 7*u**2 + 4*u - 7. Let p be o(-6). Suppose 4*s - 3*j = -0 + 5, p*j - 7 = -s. Factor 0 + 2\/5*v + 12\/5*v**s + 18\/5*v**3 + 8\/5*v**4.\nAnswer: 2*v*(v + 1)**2*(4*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -52*o**2 - 1542*o - 27. Calculate f(-30).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6\/13?  (a) -2\/13  (b) 2  (c) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5 - 3. Let w(q) = 6 - u*q - 6. Let a(y) = -2*y. Give w(a(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 11*u - 299*u**3 - 19*u + 9*u + 3*u**3 - 4*u**3 + 0*u**3 - 2*u**3 - 2*u**3 + 5*u**3 + (3 - u - 3)*(2 - 2 - u**2) - 3*u**3 - u**3 + 5*u**3.\nAnswer: -297*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yhh when three letters picked without replacement from {y: 8, h: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8484 divided by -6?\nAnswer: -1414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 5*w + 9 = 0, -26 = -4*r + 31*w - 33*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*z**3 + 728*z**2 - 33124*z.\nAnswer: -4*z*(z - 91)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z - 6 - 7*z + 7*z.\nAnswer: -2*z - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - v + 2*v = -57, -5*v - 5 = 0. Let o be (-7)\/m + 2\/(-4). Is -1 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3944 + 3942. Put -51, 3, 4, x, -1 in descending order.\nAnswer: 4, 3, -1, x, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 221656 or 221402?\nAnswer: 221402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 3*g + 4*s, -2*s - 161 + 208 = 3*g. Solve t - g = 4*t - 2*d, 8 = -t + d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x**3 - 10*x**2 - 7*x - 12. Calculate o(-9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1528, 3024, 4520, 6016, 7512?\n\"Answer: 1496*q + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - 5.94. Let r = 2.97 + -3. Let z = r - y. What is z rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -9 by 788656.\nAnswer: -9\/788656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2815052 divided by 43.\nAnswer: -2815052\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 + -1.2. Let f = -1.2 - j. Sort -0.5, 1\/4, f in ascending order.\nAnswer: f, -0.5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 119761.9*-0.1\nAnswer: -11976.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 3*f - 3 = 3, -f = 3*o - 2. Let m(t) be the first derivative of o*t**2 - 2 - t + 1\/3*t**3. Differentiate m(g) wrt g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*b**3 - 12*b**3 + 5*b**4 - 7*b**4 + b**2 to the form u*b + l*b**3 + h*b**2 + s + n*b**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7024866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -269, 230, 13, -4, -1, 11, 4 in increasing order.\nAnswer: -269, -4, -1, 4, 11, 13, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 8. Let w be (20\/u)\/(2\/(-4)). Suppose 3*i - i = w. What is the greatest common factor of i and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*g*j**3*z**3 - 99*g*j**3*z**2 + g*j**2*z**3 - 59*g*z**3 - j**2*z**3 wrt j?\nAnswer: -78*g*z**3 - 594*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*d + 6*d + 0*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*t + 104*t = 12055. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -35132*l**2 + 28*l - 9872521.\nAnswer: -70264*l + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 45479 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: Suppose -3*j + 5 = t, -t + 8 = j + 5. Let r(x) = 8*x**3 - 3*x**2 - 4*x + 3. Is 21 a factor of r(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 72*n**2 + 2*n - 1. List the prime factors of m(1).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.11 - -3.11. Let d be (0 - 0) + 12\/16. Which is the closest to j?  (a) 2  (b) d  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2771 != 8314\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (1 - -5) + 16 + -8 + (-12 - -6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 30\/(-30)*-1*1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s\/s**(6\/25))\/s*s*(s\/((s**(2\/75)*s)\/s))\/s)**(-19) assuming s is positive.\nAnswer: s**(-494\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-7)\/(-84))\/((-2)\/(-6)). Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 2. Let w(v) = v**2 - 8*v - 23. Let c be w(10). Put -2, u, c in descending order.\nAnswer: u, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -36*i**2. Let n(h) = -2913*h + 30. Calculate n(k(y)).\nAnswer: 104868*y**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*a + 162*a + 6624 = 0 for a.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -1 in decreasing order.\nAnswer: 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-6)\/6)\/(1\/2). Let g be (-10)\/5 - 2\/2*v. Solve -n + 0 + 2 = g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65582000.\nAnswer: 2, 5, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3855, 5714, 7573, 9432, 11291?\nAnswer: 13150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 1112 = 11*k - 2248. 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: In base 8, what is -201701 - 13?\nAnswer: -201714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:37 PM and 4:20 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -13\/9*d**3 - 134\/9*d**2 + 34\/9*d**4 + 1\/3*d + 10 = 0.\nAnswer: -3\/2, -1, 15\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 2 + 0 = 0. Let x(u) = -268*u - 29. Let t(s) = -117*s - 13. Let a(l) = -9*t(l) + 4*x(l). Calculate a(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5556703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -10, 0.2, 1\/9, 323?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33 - -2914. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s**2 - 5*s + 12. Give r(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.196 + -22.104. Let k = -26.3 - z. Which is the closest to -3\/4?  (a) 4  (b) 0.4  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 753478 and 2465928?\nAnswer: 27125208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 153109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t**3 + 22128*t**2 + 1577664*t + 28304640 = 0 for t.\nAnswer: -5460, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 2)*(2747 - 2747 + 224*f)*(4*f + 3*f - 5*f).\nAnswer: 896*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2943)\/(-545))\/(6\/(-50))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3.848494 and 0.12.\nAnswer: 0.46181928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 361 and 23718099.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 2*l**3 + l**2 + 2*l + 1. Give o(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 4) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 463141.812273 + 7\nAnswer: 463148.812273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 46*t + 2966. Calculate the remainder when z(-13) is divided by 237.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4074.9 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -3*u**2 - 18*u + 54. Let c(f) = -f**2 - 5*f + 17. Let h(v) = 7*c(v) - 2*t(v). Determine h(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28, 0, 769, -1, 1, 2 in ascending order.\nAnswer: -28, -1, 0, 1, 2, 769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 0.3  (b) 2\/9  (c) -0.1272\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8133 divided by -2711.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wdd when three letters picked without replacement from dwwdwwddddwd.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (214390*l**4 - 205918*l**4 - 2*l + 2*l)*(-2 + 6 - 1).\nAnswer: 25416*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2055409?\nAnswer: 2055409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 137214, 137509, 138320, 139905, 142522, 146429?\nAnswer: 151884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/(-21) + (-16)\/56. Suppose -3*z + f*j = -3*j - 9888, 0 = -2*z + j + 6596. What is z rounded to the nearest 100?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6531 + -4114. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2067158 is divided by 1033570?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (126 - 126 + 37*q)*(0 + 5 - 7)*(2*q + 5*q - 5*q) as v*q + j + s*q**2 and give s.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20723, 83027, 186915, 332387, 519443, 748083?\nAnswer: 1018307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1400558 to four decimal places.\nAnswer: -0.1401","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 97, -0.2, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 3*a**2 - 2*a + 17. Let j be u(-8). Does 10 divide (18\/(-5))\/((-9)\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = -0*x + 18. Suppose -x*d + 5 = -13. Solve 3*m + 2*f + 7 = 0, 4*m - d*f - 1 - 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -250*u + 850978 + 802311 + 8246711. Is u a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 117, -5, -2 in increasing order.\nAnswer: -5, -2, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8566.203 tonnes to micrograms.\nAnswer: 8566203000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-57)\/(-133) + (-140)\/441.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1 and 716.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 210281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 322*a - 798*a + 15651 = 20411 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15 + -7. Let h = 2 - -7. Suppose -5*t = -1 - h. Solve 3*q + 5*m - t = y, -2*q - 5*m = -5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 28 * -752.\nAnswer: -21056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 2 d when three letters picked without replacement from dddeddeddddd?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 10 = 2*a, -2*l - 1032 = 9*a - 1031 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (4 + 0 - ((-1326)\/(-18))\/17)*-6513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 13 = 1. Let b be (-66)\/((o\/31)\/4). Suppose 3*q - 550 = 2*a - b, -2*a + q = -1492. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 525125\/4 - 131279. Suppose -45\/4*q - 21\/4*q**2 + 3\/4*q**4 + f*q**3 + 27\/2 = 0. Calculate q.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-36)\/(-9)*2\/20.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -343 (base 11) to base 7.\nAnswer: -1124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r + 67*x - 280, 227*r - 229*r - 16 = -x for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 31 + (5 - (-6 + 45))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 1\/4 of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 10, -n = -2*n + 2*w - 1. Let u = -0.1 - -0.1. Which is the nearest to -2?  (a) u  (b) n  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 15 = 2*y, -11*k + 3*y = -10*k - 10. Suppose -4*h + 19 = -k. Factor -10*s**4 - h*s**5 - 18*s**3 - 14*s**2 + s**5 + 3*s**5 - 4*s + 2*s**5.\nAnswer: -2*s*(s + 1)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 177 divided by 59\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (41*v**2 + 2*v**3 - 41*v**2)*((0 - 2*v + 0 + (-v + 3*v - v)*(-2 + 1 - 1))*(-4*v + 4*v - 2*v)*(-4 + 0 + 5) - 2*v**2 - 3*v**2 + 2*v**2).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 209*u**3 - u**2 + 306*u - 304. What is c(1)?\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5201.828 millilitres in litres?\nAnswer: 5.201828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of -h**4\/24 + h**3\/6 - 3*h**2. Let w be k(-5). Is 6 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -12*j**3 + 3*j**2 - 37*j - 77. What are the prime factors of k(-5)?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -25 + 28. Sort -3, -1, -5, v in descending order.\nAnswer: v, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12*2*7\/28. Solve -6 = -m*a + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*r - 63 = -48. Let a be 2\/5 - 318\/345. Is a > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3\/12433288 and -101\/4884506?\nAnswer: 136766168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2 and -1495.\nAnswer: -2990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 104087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3420.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -k**2 + 2*k + 32. Let m be w(-6). Let d be (m\/6 - -3)\/(1\/2). Which is the nearest to d?  (a) 0.2  (b) 0.1  (c) 3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u**2 + 6*u + 2. Let j be y(5). Solve 6*f + f = -j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 106303, 212693, 319311, 426271, 533687, 641673?\n\"Answer: 19*b**3 + 106257*b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 214369499 to the power of 1\/3, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9867774*n + 9867621*n - 19735393*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -7*s**2. Let l(q) = -q**2. Let y(n) = 6*l(n) - z(n). Let a(t) be the second derivative of -5*t**3\/6 - 2*t - 228. Calculate a(y(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12193967 and 194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2504.00001878 - 2504. What is w rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + -31?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, t: 6, y: 5, f: 2, o: 3}. Give prob of picking 2 f and 1 y.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of a**5\/20 - 3*a**4\/4 - 7*a**3\/6 - 2*a**2 - 116*a + 1. Calculate j(9).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, y: 3, d: 1}. Give prob of picking 1 h and 2 y.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -481 - -321. Let s = 0 - h. Suppose -5*z = 5, -5*z + s = 3*t + 2*t. List the prime factors of t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w**2 - 19*w + 13. List the prime factors of c(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -327 greater than -243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -88, -95, -104, -115, -128?\n\"Answer: -n**2 - 4*n - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -493 + 997\/2. Let i(s) be the first derivative of 0*s - 1 - g*s**2 + s**3. Find the second derivative of i(a) wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 162*s + 5024. What is the hundreds digit of v(107)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + -6 + -8 + 2 - -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + 0 - 93*-2. Let t be (p - (-30)\/6)\/(1\/3). Suppose 0 = 5*m + 4*n - 955, 3*m - 3*n = -2*n + t. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 540010231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kyh when three letters picked without replacement from {d: 1, h: 1, y: 11, s: 3, k: 3, u: 1}?\nAnswer: 11\/2280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f**3 + 3*f**2 + 3*f - 3. Suppose -z = 5*o - 7 - 3, -8 = -4*o + 4*z. Suppose o*g = -4*d + 24, -7 + 27 = 2*d + 3*g. Give i(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 37?  (a) 0.3  (b) 1\/134  (c) 0.2  (d) 4  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3400\/(-17340))\/((-10)\/6).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1115\/4 + 281. Calculate the common denominator of o and -81\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -575, -2266, -5071, -8984, -13999, -20110?\nAnswer: -27311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -1 + -5 + -4 + 1*sqrt(99)\/(2*sqrt(9)))*-5.\nAnswer: -5*sqrt(11)\/2 + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 467584 and 238368?\nAnswer: 267925632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 24.8 - 48.7. Let u = n + 27.82. Let o = -0.08 - u. Which is smaller: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 5 = -3*m. Let z(h) = 12*h + 2. Is z(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = l - 13 - 10 - 7*l**3 + 21 + 3*l**2. Let h be q(-2). Calculate the highest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 33 in -1, 4, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1412 - 1409. Factor 8\/21*s + 6\/7*s**u - 2\/21*s**4 + 0 - 2\/21*s**5 - 22\/21*s**2.\nAnswer: -2*s*(s - 1)**3*(s + 4)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 equal to -2\/1481?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 26 (base 10) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 81*c + 101. Suppose 32*r - 103 = 345. What is the units digit of f(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4821909, 19287617, 43397125, 77150433?\nAnswer: 120547541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 339966 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 + 16*p + 25. Let h be t(-14). Is (h\/9)\/(4\/(-4956)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-5)\/(2 + -1))\/(-1). Solve j*f + 3 = 2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 15874*l. Let p(o) = -1500*o. Determine p(n(d)).\nAnswer: -23811000*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = f + 15544, 0 = -4*a - 11*f + 12*f + 31088. List the prime factors of a.\nAnswer: 2, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (23 - 39) + 83 + (-2 - (-3 - 1) - 2).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -10 + (-27851 + -1)\/(-12)?\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 21*h**2 + 4*h**3 + 13*h - 5*h + 9 - 8*h**2 - 5*h**3. Suppose 11*m = 9*m + 14. Is d(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (24*d + 334*d + 53*d)*(3*d - 2*d - 3*d) as u + x*d + k*d**2 and give k.\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 168200000 rounded to the nearest one million?\nAnswer: 168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aj when two letters picked without replacement from ickjjakkak?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.51 times -10085166?\nAnswer: -5143434.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v - 2*r + 17 - 18 = 0, -5*v + 2*r - 17 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1195 = 3*h + 2*x, 4*h - 1832 = 2*x - 248. Let j(s) = -204*s - s**2 + 1 - 200*s + h*s. What is j(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 2, -2245159 in ascending order.\nAnswer: -2245159, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 9 = 25. Suppose r*i = i + 3. Let m(q) = 6*q**2 - 2*q - 2. Let u(p) = -p**2 + p + 1. Calculate i*m(t) + 2*u(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1469932\/(-88) + -4 - 5. Let f = 16709 + w. Find the common denominator of 115\/12 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -165  (b) 0.404  (c) 5  (d) -0.1  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 14031*r - 84895. Calculate v(6).\nAnswer: -709","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*x + 3 - 23 = 0. Differentiate 6*r**2 + 11*r**2 - r**2 + 39 + 11*r**x wrt r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 194 + -186. Suppose -4 - d = 4*n, q + 5*n = -12. Solve -p + q - 2 = 3*f, 0 = -3*f + 5*p + 31 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 19*r**2. Let m(j) = 1 - 5 - 5*j**2 + 7*j**2 + 4. Calculate m(k(h)).\nAnswer: 722*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -12*((-27)\/(-36) - (-26)\/(-4)). Let o be ((-5)\/(-15))\/(1\/(-3))*t. Let p = 72 + o. Solve -q = p*q + 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.3  (b) 25  (c) 1\/3  (d) -23933\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -745*y**2 + 56622*y - 175. Calculate f(76).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 21052, 42320, 63638, 85006, 106424?\n\"Answer: 25*l**2 + 21193*l - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 71*f - 2844. What is c(40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s**(1\/3))\/s*s)\/s*s)**(-19\/2) assuming s is positive.\nAnswer: s**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + 4 = p, 3*p = 5*w - 53. Let z = -12 - -61. Let f = -54 + z. Which is the second smallest value?  (a) w  (b) f  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2*k + 108. Let t(i) = i + 107. Let d(v) = -3*m(v) + 4*t(v). Calculate the least common multiple of 32 and d(49).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 455678 and 1349.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (6\/2*-1)\/((-900)\/(-40))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39 = 5*z + 4*w, -4*z + 40 = -3*w - 16. Solve -50 = l - z*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 3*l**2 + 59*l - 2. Let f(r) = -17*r**2 - 297*r + 11. What is -2*f(z) - 11*m(z)?\nAnswer: z**2 - 55*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 72, 146, 220, 294?\nAnswer: 368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 356283?\nAnswer: 3, 31, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 15 = -0*m. Suppose m = b - 1. Determine o, given that 16 - b + 6*o**2 + 21*o**3 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37302, -138337, -306728, -542475, -845578, -1216037, -1653852?\nAnswer: -2159023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 16*u**2 - 15*u**3 + 24 - 4*u + 39*u**3 - 3*u**2 - 22*u**3. Let h be o(-7). Solve m - h*q + 6*q + 7 = 0, 3 = -m - q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 519660437?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-90)\/765 + (-300)\/(-1683)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 730\/51 + -232\/17. Let -1\/3*j**2 + p*j + 0 - 1\/3*j**3 = 0. What is j?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of 2*m + 1\/20*m**5 + m**2 + 0 + 5\/12*m**4 + 2\/3*m**3. Let u be r(-4). Solve -5*l = -5*b - 0*l - 20, 3*b + u*l = -17 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2 + y**3 - y + y**2 + y**2 - y. Let a be w(-3). Let b(i) = -3*i - 2. What is the remainder when 37 is divided by b(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 65b7a4 (base 16) to base 2\nAnswer: 11001011011011110100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*x**5\/7 - 16*x**4 - 384*x**3\/7.\nAnswer: -4*x**3*(x + 4)*(x + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-9)*x)**(1\/57)*(x\/(x\/x**(-6)))**(-29) assuming x is positive.\nAnswer: x**(9910\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -5*q + 4. Calculate the remainder when 69 is divided by z(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) be the second derivative of -w**4\/12 - 4*w**3\/3 - 2*w. Let m be b(-8). Solve 2*j + 6 + m = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 + 7*t**2 - 2*t - 7. Let g be q(-7). Let x be 12*(3 - (g - 3)). Let z = 7 - x. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -36773\/37 less than or equal to -993?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -938329 - -2260686. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15707 + 15*w - w**2 + 5*w + 15623.\nAnswer: -(w - 14)*(w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 921*r + 6921. Is 11 a factor of y(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(-2)*7\/((-21)\/2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 20 = -2*w. Suppose 5*f = -0 + w. Let x = 5\/4 - f. Is -5 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of p**8\/504 + 2*p**7\/315 - p**6\/60 - 2*p**5\/45 + p**4\/9 - 128*p**2. Factor j(a).\nAnswer: 2*a*(a - 1)**2*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -143*t + 143*t + 582*t**3.\nAnswer: 582*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 8 + (1 - 3 - 1). Let q be n\/((66\/18)\/11). Solve -q = 5*u - 0*o - 2*o, 5*u - 5*o = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/4767 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 minutes after 2:10 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -2. Let h(k) = -k + 5. Let i(d) = 3*h(d) + 6*t(d). Give i(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78 a factor of 720876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*a**3 + 39*a**2 + 682*a wrt a?\nAnswer: 24*a + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 407, 817, 1217, 1601, 1963, 2297?\n\"Answer: -n**3 + n**2 + 414*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 148697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 30863 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*l + 22*l + 19*l)*(2 - 2 - l)*(-4*l - 4*l + 2*l).\nAnswer: 276*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -393 = -177*d - 162 + 1716 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4*g + 8 = 0, 3*w = -g + 8 - 14. Let q be (-22)\/w + -6 + 2. Solve -q = -2*v - 1 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3855 + -1544?\nAnswer: -5299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 332*l + 669*l - 335*l.\nAnswer: 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1190 < 92?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -8.1354*-0.33\nAnswer: 2.684682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/(i\/(i*i**(-2\/11)*i))))**43\/(i**(1\/6)*i\/(i\/i**(-1\/7))*i) assuming i is positive.\nAnswer: i**(-16727\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.96 - -0.04. Let z be -5 + (0 + -4 - -11). Let l be (-6)\/(-16)*4\/6. Which is the closest to z?  (a) l  (b) -4  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1 and 206842569.865.\nAnswer: 206842570.865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 AM and 3:53 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n*(n*n*(n\/n**2)\/n*n)\/n*n)*n)\/(n\/(n\/(n\/(n*n*n**(1\/3)*n)))))\/(n**(1\/2))**34*((n*n*n\/n**1)**12)**(-2\/13) assuming n is positive.\nAnswer: n**(-716\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 22 + 14. Suppose 14 - 4362 = -s*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(242) + sqrt(242) + sqrt(242) + 0)**2.\nAnswer: -198*sqrt(2) + 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 64\/13000311 and -103\/76698.\nAnswer: 26000622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 401909682 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j - 4*j, -2*a - j - 6*j + 8 = -5*j for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 11. Let j be h(0). Let d(g) = -g**2 + 12*g - 10. Let o be d(j). Let f = -2 + 3. Is f at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 141921*r**3 - 1703053*r**2\/6 + r\/3.\nAnswer: r*(r - 2)*(851526*r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(136) - (sqrt(136) + -1*sqrt(136))))\/sqrt(8).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -21.715 + -236336719\nAnswer: -236336740.715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*f = 28 - 226, -4*a - f = -264. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2465125921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, w: 1, o: 3, j: 1}. Give prob of picking 1 s, 2 o, and 1 j.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -1661340?\nAnswer: -1661341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9716*y - 6628 = -9720*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.06 - 0.062. Let l = c + -0.032. What is l rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/14 - (-2296)\/10780)\/(8\/(-20))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 507?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(4\/9)\/u*u**(1\/5))\/(u*u\/(u*u**2*u))**(-15))**(-8) assuming u is positive.\nAnswer: u**(10928\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bff when three letters picked without replacement from {b: 2, f: 2, m: 1, a: 4}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21 - 6*m + 11*m - 3*m)*((-m - 2 + 2)*(3 - 1 - 3) + 0*m + 2*m + 0*m + 147*m + 367*m - 364*m) - m**2 - 2*m**2 + 4*m**2.\nAnswer: 307*m**2 - 3213*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12874 is divided by 12870?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -1, 49, 137, 281, 499, 809, 1229?\n\"Answer: 3*u**3 + u**2 + 26*u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 58 - 55. Let f(b) = -959 + 966 - 17*b + n*b**2 - 11*b. Is f(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1096383 and -0.1?\nAnswer: 1096382.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3436)\/78169)\/(-15*(72\/(-35) - -2)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1558329972 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(539) + -3 - sqrt(539))**2 - sqrt(55)\/sqrt(5)*-4) - ((2 + (sqrt(396) + 1 + sqrt(396))**2 + sqrt(396) + sqrt(11))*-6 + 4).\nAnswer: 194*sqrt(11) + 9536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 29453055 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 40498835533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Total of 30 and 160298.\nAnswer: 160328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) 1\/7  (b) -3  (c) -1  (d) -2022  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -2*y**2. Let r(j) = 7*j - 5. Let x be r(1). Let h(a) be the second derivative of 0*a**x + 2*a + 0 + 1\/3*a**3. Determine o(h(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1220, -2448, -3700, -4976, -6276, -7600?\nAnswer: -8948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in sixteen fifteenths of a week?\nAnswer: 10752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10564718 is divided by 144722.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/44 and -71\/92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.08, -5, 3, -0.08, -842, 136?\nAnswer: -842","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1 and 16791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 + 6*x - 5. Suppose 0 = s + q, 4*s + 2*q = 4*q. Suppose -2*h + 5 = -5*d, s = 2*d + 2*h + 8 + 8. Let y be (-3)\/1 - (-9)\/d. Determine g(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12\/22 - (-4)\/(11 + 2145\/(-205)) and 1165.\nAnswer: 9320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -7*y + 18 + 6*y - 12. Let o(p) = p - 1. What is -c(v) - 2*o(v)?\nAnswer: -v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 - 152*m - 4836. Calculate g(-41).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 267 is divided by 202?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 28, 3\/7, 0.5, 7.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -107.834863 rounded to the nearest integer?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17436, -69606, -156550, -278262, -434736, -625966?\nAnswer: -851946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15*k**3 + 2011565*k**2 - 67440231080*k + 22479853520.\nAnswer: -5*(k - 67052)**2*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16\/39553 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 132 - -235. Let b = a + -369. What is the closest to b in -3, -8, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 389 + 7*g**2 - 204 - 4*g**4 - 195 - 2*g**3 - 3*g**2 in the form u*g + q*g**3 + l*g**4 + b*g**2 + k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + 3*-3*sqrt(17) - (sqrt(17) + 3 + 1)) + ((sqrt(17) + sqrt(153))*-5 - (sqrt(272) + -1))**2.\nAnswer: -57*sqrt(17) + 9789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 41 and 16406068.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -1 + 6*n + 3 - 7. Let i be r(2). Let m(x) = x**3 - 8*x**2 + 10*x - 7. Let y be m(7). What is the highest common divisor of y and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 100251 and 1034?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - 182.388?\nAnswer: -188.388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*n**2 - 123 + 125\/2*n.\nAnswer: -(n - 123)*(n - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 + 41*f - 57*f + (2 + 1 - 5)*(8*f - 2*f - 4*f))*(-1 + 32 - 16).\nAnswer: -300*f + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**0*f**(-15) assuming f is positive.\nAnswer: f**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 59513.3 - 67468. Let m = r - -7557. Round m to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = c**3 + 30*c**2 - 97*c + 68. Let i be z(-33). Factor 0*q + 2\/11*q**i + 0.\nAnswer: 2*q**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - 13*c**2 + 14*c - 16. What is t(12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 3\/2, -0.5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*p + 151 = 28 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-4)\/(-4)*(-860)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1456951 a multiple of 277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) be the third derivative of -2*x**7\/105 + 18*x**5\/5 + 36*x**4 + 162*x**3 - 15*x**2. Let k(u) = 0. Calculate u.\nAnswer: -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2429738 is divided by 809906.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 54\/49671715 and -37\/611.\nAnswer: 645732295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.3  (b) -26471  (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.9392 + 1.0608. Which is the closest to 1?  (a) -0.5  (b) 2\/233  (c) k  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 7, c: 3}. Give prob of picking 4 y.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and -830595.\nAnswer: -166119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = c - 8. Let g be x(6). Let a = g + 10. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 168992 and 1504.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 3*g = 10. Let l(r) = 8*r - 9 - g*r + 17*r. List the prime factors of l(2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 135549998.\nAnswer: 2, 173, 347, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 t, 1 i, and 1 x when four letters picked without replacement from {j: 2, i: 2, p: 1, x: 1, t: 4}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 1\/5, -1\/4, 0.3, 3 in decreasing order.\nAnswer: 3, 0.3, 1\/5, -1\/4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -2*4\/220*5. Let x = 401 - 4417\/11. Which is the nearest to 2?  (a) 3  (b) n  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the first derivative of -10*m**3\/3 - 5*m**2\/2 + 6*m - 2341. Let q(h) = -11*h**2 - 4*h + 5. Calculate 6*q(r) - 5*t(r).\nAnswer: -16*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 40\/(-24)*(-24)\/20. Suppose 0 = -4*o - 2*u - 3*u - 14, 0 = 4*o - 3*u - q. Let y = -1\/22 - 119\/286. Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that r**2\/10 + 483*r\/5 + 2889\/10 = 0.\nAnswer: -963, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 2 p when four letters picked without replacement from oenpvehhhhevhvhehv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 30.1 - -160.9. Let o = 190.99999913 - f. What is o rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 - (-1 + -3))\/(34\/4). Let r = -2364 - -2367. What is the third smallest value in r, -3\/7, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, h: 1, x: 1, q: 5, w: 1}. Give prob of picking 1 a, 2 q, and 1 w.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the second derivative of 0*o**5 + 0*o**3 - 7 - 96*o**2 + 77\/30*o**6 + 0*o**4 - 11*o. Differentiate v(t) with respect to t.\nAnswer: 308*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-2)*0 - -5. Suppose -7*i + 3*i - 3*j + l = 0, -5*i = j - 9. Is i even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 88 - 88.4. What is the second biggest value in w, -2\/49, 1\/6?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 2.3, -10, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*y - 7*g + 94 = 0, 0 = 3*y - g + 13264 - 13242 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8448 + -8462. Let f(k) = k**3 + 14*k**2 - 3*k - 47. Give f(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-555)\/74*15\/((-105)\/14)*(-17)\/(-510).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 59  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**3\/7 + 9*t**2\/7 - 12\/7.\nAnswer: -3*(t - 2)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -96568101876 minus -6?\nAnswer: -96568101870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5436*m - 14097 + 14097.\nAnswer: -5436*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -6*o - 3. Let u be m(-3). Let t = -15 - -15. Let c = -1 - -4. Solve -4*v - v - 22 = -c*s, t = -3*v - u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -222, -6, 565, 3, 5, 2 in descending order.\nAnswer: 565, 5, 3, 2, -5, -6, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/2 - (-7 + (-7)\/(-2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**2 - 5*c. Let b(q) = q. Let h(v) = 2*b(v) - k(v). Is h(6) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2 - 30*o - 31*o + 95*o - 32*o. Let r(k) be the first derivative of -k**2 + 2*k - 1. Give -4*q(l) - 3*r(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 7395991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 161 - 157. Let x(u) = -7*u - 5. What is x(f)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/35)\/(5334\/24892)\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 34\/10 - (2 + -1). Suppose 2*u - 5*n - 4 = -63, 5*n - 71 = -2*u. Find o such that -3\/5*o**4 - 24\/5*o**2 - 3*o**u + 0 - k*o = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 4, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of x**3\/6 + 57*x**2 + 1. Let q(i) = 16*i + 18*i - 46*i + 33 + 24*i + 3. Determine -36*n(m) + q(m).\nAnswer: 12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2242 + -1230. Let r = w - 176. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:16 PM and 10:50 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 429 and 6006?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24273 - 9614. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -712.7 in -36, -2, 0.16, -0.4?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3*r = -2*r + 28, 2*r = 5*w - 137. Let u = w + -8. Calculate the remainder when u is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 2*g**2)*(g - 2*g + 2*g) + (-1 + g + 1)*(95 - 95 + 10*g**2).\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-456)\/133 - -4 - (-120)\/14*-1. Let n(b) = -b**3 - 11*b**2 - 23*b + 11. What is n(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aays when four letters picked without replacement from aayyayfyys.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*c + 50*c - 504 = 0 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3\/24746 - -77380757\/123730. Which is smaller: b or 624?\nAnswer: 624","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 277 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x**2\/5 + 99*x\/5 + 186\/5 = 0 for x.\nAnswer: -31, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1213072 divided by 1213072.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5025\/95 - (-4)\/38 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes before 3:57 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m + m - m)*(12 + 68 + 35).\nAnswer: 115*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/4 of a kilometer in meters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - i = -57. Let k(y) = -65*y - 6. Let t be k(-1). Let w = t + i. Solve -4*f = -2*f + w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*g - 2*g = 135*g + 876 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.03 in 2, -0.07, -34, 2189, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q + 2*q + 0*q)*(7 - 2 - 3).\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t, 1 o, and 1 u when four letters picked without replacement from {u: 1, o: 6, w: 5, t: 5}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1861 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 3*c**4 + c + 7*c + 34*c**3 - 32*c**2 - 13*c**4 = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = i**3 + 11*i**2 + 9*i - 11. Let x be j(-10). Which is smaller: -2\/51 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by 68?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 328 - -8?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -8. Suppose -59 = 15*d + 31. Which is smaller: d or j?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -468306, -468297, -468266, -468201, -468090?\n\"Answer: 2*q**3 - q**2 - 2*q - 468305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -70 + 25 + 69 + 27?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 12*x**3 - 29*x - 2. Let i(c) = -32*c**3 + 87*c + 7. Determine 2*i(u) + 7*q(u).\nAnswer: 20*u**3 - 29*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 152343, 307590, 462837?\n\"Answer: 155247*l - 2904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -8293656*-3\nAnswer: 24880968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z + 5. Let l(q) = 3*q - 11. Let x(a) = -9*j(a) - 4*l(a). Give x(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29667180 is divided by 17991.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the second derivative of k**4\/12 - k**2 + 4*k. Let g be s(-2). Solve g*j + 0 - 4 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 421 - 426 - (0 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5845 - 979. Suppose -818 = -28*j + p. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/12*1 + 0. Sort 12, -3, a in increasing order.\nAnswer: -3, a, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5535\/(-360) + 6\/16)*-1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 + 37*t**2 + 266*t - 311. Suppose 0 = -5*r - 2 + 17. Suppose -5*w + w + 503 = -3*k, r*k = 9. What is the remainder when w is divided by z(43)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 144 + -126. Calculate the smallest common multiple of 3 and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -6*h**2 + 7*h - 5. Let i(t) = 5*t**2 - 5*t + 1 + 4 - 2*t. Let z(y) = 5*i(y) + 4*x(y). Suppose 5*k = v - 24, -2*v - 8 = v + 5*k. Determine z(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8.7 + 17. Let o = l + -10.3. Let d = -11 + 8. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a meter in centimeters?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (29144 - 2133*o - 29144)*(o + 0 + 0) as v*o + r*o**2 + z and give r.\nAnswer: -2133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - (5 + (-5 - (-3 - 0)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eeeewmeeemww. Give prob of picking 1 w, 1 m, and 1 e.\nAnswer: 21\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -303, -1280, -2899, -5154, -8039, -11548, -15675?\n\"Answer: w**3 - 327*w**2 - 3*w + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8620077 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 891678 rounded to the nearest ten thousand?\nAnswer: 890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -8, -22, 2\/5, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 255 divide 4633350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 7 = 11. Let s(p) = 6*p - 24. Let c(q) = -3*q + 12. Let f(m) = 5*c(m) + 3*s(m). What is the units digit of f(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 5*l**2 - 237*l + 122. Let s be y(47). Which is the second biggest value?  (a) 5  (b) s  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -93976 times 0.04?\nAnswer: -3759.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p**3 + 43*p**2 - 136*p + 89. Let l be q(-46). Which is the second smallest value?  (a) 3  (b) l  (c) -1\/4  (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6551300880 to the power of 1\/3, to the nearest integer?\nAnswer: 1871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 200688.6 centuries in months?\nAnswer: 240826320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -94 + 326. Let g = -1 - -4. What is the third derivative of -o + t**2 + 2*t**g + 58 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 5, k: 1, g: 6, s: 1, i: 1}. What is prob of sequence ggs?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 508 minutes after 6:59 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 842*m = 840*m + 125798. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.017 times 4?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(-15) + 63\/(-165). Suppose -6*s + 2*s + 0*s = 0. Let n be s\/(-12) - (-1)\/(-2). Which is the nearest to n?  (a) 3\/5  (b) 0.3  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-50)\/(-15))\/((-2)\/(-3)). Suppose 0 = 2*c - 3*z - 93, -2*z = -11 + i. What is the remainder when c is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 284*f = 288*f + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - -14 - (0 + 8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48\/14 - 30\/70 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q + 1. Let y(w) = 52*w + 6. Let i(h) = 14*h. Let r(f) = 3*i(f) - y(f). Calculate -10*d(j) - 2*r(j).\nAnswer: 10*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d - 841. Let o(n) = -6*n + 1678. What is 3*o(r) + 7*y(r)?\nAnswer: -4*r - 853","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 7\/5  (b) 0.3  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1328 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - l + 2. Let c be f(0). Let o(j) = -4*j**2 - 3*j. Let a(r) = -r**2 - r. Let w(i) = -7*a(i) + 2*o(i). Calculate w(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -2\/3, -4\/5, 5, 3, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (236\/(-6)*-3)\/2. Let j(l) = 4*l**2 + 4*l - 9. Let r be j(-4). Let u = c - r. Calculate the greatest common divisor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -87, -188, -173, 12, 421, 1108?\n\"Answer: 9*n**3 + 4*n**2 - 176*n + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2 - 129*b - 254.\nAnswer: -(b + 2)*(b + 127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2*12\/16*(-16)\/6. Suppose 3*c = -m*t, 0 + 3 = -t. Let p(k) = 2*k**2 - 2*k - 2. Give p(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**2 - 2*w**2 + 4*w**2 + (-3 + 3 - 2*w)*(-w + 0*w + 0*w) + w**2 + w - w - 285 + 85 + 202 + 203*w**2 - 7*w.\nAnswer: 207*w**2 - 7*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 - 1 - 1)*(-1 + 2 + 0) - 3 + 0 + 2 - 1 + 1 + 2 - 1 + 0 + 3 + 0 + 3 - 5 + 4 - 3 + 1 + (-2 - 2 + 5)*(-4 + 1 + 2) + 0 + 1 + 1)*(-54 - 6*q + 54).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 46412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.33, 0.4, -2\/17 in decreasing order.\nAnswer: 0.4, -2\/17, -0.33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63) - sqrt(189)\/sqrt(3))\/sqrt(9) + (sqrt(63) + 0)**2.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {c: 4, k: 3, i: 1}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 594 - 79. Suppose -n = 5*j - 5*d, 5*d + 11 = -j - 98. Let p = j + 108. Which is the third smallest value?  (a) -4  (b) p  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 9\/2?  (a) 3\/98  (b) -0.1  (c) 3  (d) -457\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 369703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 490 + -455. Let c be (-4)\/(2\/(4 + -6)). Suppose 0 = 5*h + 4*q - 69, 30 = c*h - 3*q - 50. Solve -5*u + 13 = -z - h, 5*z = 2*u - y for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 512 = i. Let b = -217 + 88. Let u = b + i. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gssgsgjgsfjxxj. Give prob of sequence gg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33535?\nAnswer: 5, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 92*t**2 + 14*t - 6*t - 6*t. Let p(f) = -2*f + 27. Let a be p(14). What are the prime factors of o(a)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/((-324)\/16))\/(40\/(-24)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 67 and 368969.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -162bd + -1?\nAnswer: -162c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/9, 0, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.7 times -1.1\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + (-10 - (-13 + 7)) + 8 + -2.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 4) to base 10\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the first derivative of 2*d + 1 - 2*d**2 + 1\/4*d**4 + 4\/3*d**3. Let s be o(-5). What is the second biggest value in 0, 0.4, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ncxcxdxxacdcnxx. Give prob of sequence acx.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 615023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 1254?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z - 996 = 2*z. Let b = z - 1172\/7. Find the common denominator of -23\/9 and b.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -81*-0.13\nAnswer: 10.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 + -18.4. Let m = x - -0.1. Which is the nearest to -1?  (a) -2  (b) -0.1  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 16*s**2 + 12*s + 4. Let v(j) = -17*j**2 - 7*j + j - 4 - j + j**3 - 5*j. Let f(q) = -5*c(q) - 4*v(q). Factor f(o).\nAnswer: -4*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes before 7:26 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-33)\/(-21))\/(30\/105)*2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 592*t**5 - 125*t**2 - 8*t wrt t?\nAnswer: 35520*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/7  (b) -5  (c) -16  (d) -6\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + 3*c + 0*c)*(4 - 12 + 25)*(2 + 0 - 5) + (-3 + 2 + 3)*(323 - 323 + 119*c).\nAnswer: 136*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/3, -3\/4, -1\/5, -0.01, -12 in ascending order.\nAnswer: -12, -3\/4, -1\/3, -1\/5, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 72 + -62. Suppose -3*a = v*a - 6*a. Suppose a = -q + 64 + 121. List the prime factors of q.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 635 + -326. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 35895.3903ns in weeks?\nAnswer: 0.00000000005935084375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 126, 4.\nAnswer: 4, 27, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 14*q - 9. Let u be p(6). Suppose -u = 5*b + 45. Let a be 2\/7 - b\/14. Solve -y = a*y - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12 and 5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -58*b - 6. Let u(i) = -309*i - 30. Let j(q) = -16*l(q) + 3*u(q). Let o(t) = 2*t + 5. What is -3*j(r) + 4*o(r)?\nAnswer: 5*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-c**2 + 3*c**2 - c**2)*(-2*c**2 - 13*c**2 + 8*c**2 + 2*c) to the form t*c**2 + d*c + m*c**4 + k + s*c**3 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 97604184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 366 - 353. Suppose 2*s = t*s - 44. Sort 3, -3, 0, s.\nAnswer: -3, 0, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 303*r + 602*r - 259*r + 706*r**2 wrt r.\nAnswer: 1412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5211 - 5151. Calculate the greatest common factor of w and 708.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + 5*l - 6. Let y be g(-6). Factor 1\/2*m**4 + 0 + 1\/2*m**3 + y*m + 0*m**2.\nAnswer: m**3*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2337258496?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2573.\nAnswer: 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 + 2361?\nAnswer: 2369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03 - -42081.077.\nAnswer: 42081.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 3024192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q + 71 - 44 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j - 12*j**4 + 14*j**4 - 3*j**3 + 3*j**2 - 5*j**2 to m*j**2 + r*j**4 + c*j**3 + i*j + v and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 12:33 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -7*d - 83. Let g be z(-11). Let x(l) = -5*l - 6 + 2*l - 6*l. What is the units digit of x(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 - -2. Suppose -x*s = -0 + 2. What is the second smallest value in 0.3, s, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/6010 and 17\/1803.\nAnswer: 18030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -241 = -4*y + 5*j, -y + 265 = 3*y + 3*j. Calculate the greatest common divisor of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4517 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -85137545 divided by 5\nAnswer: -17027509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 387*l = 8338. Solve l*s - 37 = 18*s + 3*c, 0 = -c - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 + 9 = -4*u. Solve -5*t = -4*q + 13, u*t - 5*q + 15 = -0*q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.097*-160.\nAnswer: 15.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k + 3*k - 7140 = 0. Let n = -198 + k. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 39\/112205?\nAnswer: 39\/112205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 5*p + 8 = 0. Suppose 3*o - 5*o - x + 3236 = 0, 2*x + p = 0. Let d = o + -901. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-26)\/8 - 2\/(-8). Which is bigger: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the first derivative of 4*a**3 - 1. Let y(x) be the first derivative of -9*x**2 + 3*x**2 + 2 + 7*x**2. Calculate y(r(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-99)\/(-54) - 2\/(-12). What is r in 0*r**2 - 17*r**2 - 30 + 2*r**4 + 2*r**3 - 3*r**o + 56*r - 10*r**3 = 0?\nAnswer: -3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -33373\/6000 - 9\/2000. Find the common denominator of a and -3\/14.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v = -10, 154*v - 155*v = -4*l - 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z*z**(-4\/3)))**(-4) assuming z is positive.\nAnswer: z**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 0 + sqrt(48)\/(sqrt(6) + sqrt(294)).\nAnswer: sqrt(2)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13435.\nAnswer: 5, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-187 - -177) + (-9 - (-3 - 0\/2)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, 0.3, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h + 1. Let c = 668 - 667. Let n(u) = -u - 5. Determine c*n(a) + 5*b(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -610*h**2*m**2 - 4424*h**2*m + 4*h**2 + 243757*h + 1 wrt m.\nAnswer: -1220*h**2*m - 4424*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/30)\/(22\/33)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 49649*n**3 - 130582*n**2 - 5*n wrt n.\nAnswer: 297894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6 - 1) + 14\/(-7). Suppose -l + 69 = u*w, 2*l - 3*l = 5*w - 65. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*r = -2648 + 613. Let x = -182 - r. Solve h + 1 = -x*h - 3*a, 2*h + 2*a = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -18 + 11 + 10 + -6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 3, g: 2, x: 4, m: 4, n: 3}. Give prob of sequence xgng.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 5*n + 5*b = -24, 2*n - 24 = b. What is the remainder when n is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 334.\nAnswer: -3\/334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 less than or equal to 109\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -15, 101254, 4 in descending order.\nAnswer: 101254, 4, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*c - 108 = -118 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/1494 and -25\/27?\nAnswer: 4482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2 = 18. Put h, 44, 4 in decreasing order.\nAnswer: 44, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + x - 10 = 2*s, 0 = -3*s - 15. Solve x = g - 4*g + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -6*b**2. Let f(x) be the first derivative of -x**5\/120 + 4*x**3\/3 + 5. Let c(w) be the third derivative of f(w). What is c(h(k))?\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (-1 + 1) - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*s**2 + 4*s**2 + 9*s**2 as j*s + k + o*s**2 and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.20235 minus -0.03?\nAnswer: 0.23235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -f - 8, w + f - 12 = -3*w. Suppose -w*t = -0*t + v - 22, -5*t + 20 = 5*v. Suppose a + t = 3*a. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 4*n**4\/9 + 4*n**3\/3 - 676*n**2\/9 + 220*n\/3 = 0.\nAnswer: -15, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10 - 3295.\nAnswer: -3285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1895848846?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1653 and 261?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (23 - 25)*(-8)\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 n when three letters picked without replacement from ooooznnooooonoz?\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5335*k = 28414*k + 584406 - 7431 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 5*j + 53 = 0, -230857*j = 4*z - 230856*j - 29 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -15\/739081 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -82 times 75.1\nAnswer: -6158.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 131, 132, 131, 128, 123, 116?\n\"Answer: -y**2 + 4*y + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 627*t - 359264. Determine r(573).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12534*c**3 - c**2 - 6137*c wrt c?\nAnswer: 75204*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10.06 + 0.06. Let g = 10 + m. What is the second smallest value in -2\/3, -3, g?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4015909 is divided by 1338623.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-35)\/(-15))\/7)\/((-7)\/(84\/148))?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let j(u) be the first derivative of 4*u**3\/3 + 608*u**2 + 92416*u + 355. Let j(d) = 0. What is d?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**2 - 4*k + 2. Let t be p(-4). Let a = 4 - t. Suppose 0 = -q + a. Solve -q*i - 3 = -3*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -449.22 and -0.2155.\nAnswer: 96.80691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = 10*t + 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -93.9838 rounded to 0 decimal places?\nAnswer: -94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/10)\/((-8)\/80).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/3)\/((-3)\/(-9)). Let r(f) = x + 1 - f - 1. Let a = 11546 + -11542. Let g(c) = -c + 1. Determine a*g(u) - 3*r(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 24 - 18. Let s(b) = b**2 - 7*b + 10. Let z be s(g). What is the smallest value in 2, -5, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 21\/8, 1\/268, -31, -3?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 r when three letters picked without replacement from {j: 3, a: 1, r: 3, m: 9, g: 2}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**2 + 21*d - 7680. Let o be a(0). Let z be (-24)\/10*o\/(-896). Is z less than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/7  (b) 3  (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/9*31\/25. Let x = 2\/25 - o. Let v = -2.624 - -2.624. Which is the closest to v?  (a) 0.5  (b) x  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74283377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*5*(sqrt(605) + -1)**2*6.\nAnswer: -1320*sqrt(5) + 36360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m = 10*m - 70 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7*24\/8)\/(18\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 3*x = x + 16, 5*i + 20 = -4*x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4030602571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gggu when four letters picked without replacement from {g: 7, u: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 573*b + 5736. Give f(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**3\/7 + 34*u**2\/7 - 440*u\/7 - 1000\/7.\nAnswer: 2*(u - 10)*(u + 2)*(u + 25)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1469598 is divided by 412.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 2*l**2 + 5. Let o = -3130 + 3129. Let i(g) = -g**2 - 1. Determine o*z(a) - 3*i(a).\nAnswer: a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -501044*j**4 - 28523*j + 10 wrt j.\nAnswer: -6012528*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 62931\/6128 or 11?\nAnswer: 62931\/6128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 57746, 115488, 173230, 230972?\nAnswer: 288714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qcqcnsqcqq. Give prob of sequence qsc.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-68)\/(-10) + (-4)\/(-20). Suppose -4*m - 3 = f + w, -2 = -4*f - 2*m. Factor -159 - 11*t**f + 143 + 32*t - t**2.\nAnswer: -4*(t - 2)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**2\/8 - 709*b\/2 - 1420 = 0 for b.\nAnswer: -4, 2840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 279.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 12*y + 10. Let g(o) = -o - 1. Determine -2*c(r) - 20*g(r).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*w**3 + 2*w**3 + w**3)*(-110*w**2 - 176*w**2 + 21*w**2) + (-6*w**3 + w**3 + 4*w**3)*(-3*w - 2*w**2 + 3*w) + 7*w**5 - 3*w**5 - 3*w**5.\nAnswer: 268*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 15. Which is greater: i or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**2 - 240*r - 2380.\nAnswer: -5*(r + 14)*(r + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1626551675 to the power of 1\/2, to the nearest integer?\nAnswer: 40331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h - 6 = -6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 432878?\nAnswer: 2, 41, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 48.69852 centuries in millennia?\nAnswer: 4.869852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 10 - 1978a?\nAnswer: -1977a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 2*a**2 - 2*a - 3. Let s(j) = j + 9. Let m be s(-12). What is the units digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.05 - 0.09. Let y = -14 - -14.46. Let r = s - y. What is the second biggest value in 5, -4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -6016.1 - -6016. Which is the smallest value?  (a) -5  (b) 1  (c) r  (d) 0.7  (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 657 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 3:42 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q - 7*q + 129 + 2*q - 130 + 2*q. Determine i(5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + i + 1)*(-2*i + i - i) - i**2 + 3*i**2 + 4*i**2 - 317*i**2 + 162*i**2 + 158*i**2 - i**2 - 2*i**2 + 2*i**2.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1497 + 4?\nAnswer: 1501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d\/(d**(-6)*d))*d\/(d\/d**0)*(d*d\/(d*d\/(((d**(2\/7)\/d)\/d*d)\/d)*d)*d)**(-11) assuming d is positive.\nAnswer: d**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 879181 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -158056.8 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*a + y - 6*y, 4*y + 12 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 43415*z + 18842107. Determine b(-434).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.726 + -0.68. Let x = l + -0.346. Which is bigger: x or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -253.9999032 + 254. Round d to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19952741483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of -657*o**2 + 2749*o + 1208. Differentiate l(c) wrt c.\nAnswer: -1314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 3*i = -64, 4*j + 21*i - 26*i = 46. Calculate the remainder when 37 is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -212221201 (base 3) to base 7\nAnswer: -101623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 1, g: 3, q: 4}. What is prob of picking 1 a and 1 q?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26 + 55. Let o = -28.51 + q. Let a = 0.48992 - o. Round a to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2194 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(52)*-2)\/sqrt(4))**2 - sqrt(1872)*-1.\nAnswer: 12*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*f - 3*f + 225. Let q = f + -51. Suppose u = 4*u - q. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*p**2 + 1611 - 2*p**4 - 53*p**3 - 1614 + 6*p**2 to x*p**2 + r*p**3 + k + v*p**4 + j*p and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 2*j - 484 = 4*j, 5*j = 3*f - 363. Suppose f = 3*s + 28. Suppose 2*z - u = 67, -s = -z - u + 2*u. What is the highest common factor of 24 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + (23 - -2 - 11).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhsmjhdehsmdejhd. What is prob of sequence sh?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -2*z + 11 - z**2 - 8*z + 6*z. Let q be v(-5). What are the prime factors of 17*-1*(-12)\/q?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -155039419, -155039416, -155039413, -155039410?\nAnswer: -155039407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.02, 0.86, -487529.\nAnswer: -487529, 0.02, 0.86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide (1\/3)\/(2\/(-18))*-12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 923239?\nAnswer: 923239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 6*c**2 + 3*c + 3. Calculate the least common multiple of q(-1) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3545 - -3?\nAnswer: -3542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*r**3*z**2 + 2*r**3 + 6*r**2*z**2 - 23*r**2 + 217*r*z - 6 wrt z.\nAnswer: 6*r**3*z + 12*r**2*z + 217*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 533*q + 592*q - 44 - 30 + 2*q**3.\nAnswer: 2*q**3 + 59*q - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t + 69 - 68 = -3*x, -22 = 5*t + 4*x for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/8)\/((-12)\/(-48))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wcz when three letters picked without replacement from {z: 1, p: 2, c: 1, w: 3, o: 4, r: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 841 + -849.74. Let v = -9 - h. Let f = v - -0.16. Is f greater than 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 0*s**2 + 3*s**2 - 4*s**2. Let f(w) = 4*w + 18 - 5*w - 18. What is d(f(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) be the third derivative of j**4\/8 + 18*j**2. Let z(p) = -2*p. What is y(z(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -916 = -2*t + 4*o, -4*o + 2374 = 78*t - 73*t. Factor -21375*l - t*l**3 + 61\/3*l**4 + 16875 - 1\/3*l**5 + 4950*l**2.\nAnswer: -(l - 15)**4*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (10224\/(-497))\/(4\/(-7))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -22731*-38.487\nAnswer: 874847.997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 19*d - 10. Let v(z) = 35*z - 18. Let w(l) = -2*l**2 + 30*l + 26. Let i be w(16). Let j(h) = i*v(h) + 11*m(h). What is j(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*x**3 + 134280*x**2 - 5*x + 7583425 wrt x?\nAnswer: -6*x**2 + 268560*x - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 3, -29, -2006.\nAnswer: -2006, -29, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 1377*p + 8. Let z(h) = -169*h. Give o(z(k)).\nAnswer: -232713*k + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -4, 60, -6, 10 in decreasing order.\nAnswer: 60, 10, 4, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/72 and 43\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 + 8. Suppose 0 = -i + n*i - 43. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*q - 81*q - 49*q + 23*q.\nAnswer: -136*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.14 - -0.1. Let k = c + 0.24. Sort 4\/5, k, 3.\nAnswer: k, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/5*5 + (-26)\/10. Let k be 2\/(-8)*(-3)\/(-2). Let p be (-441)\/(-1260) - 18\/30. What is the second smallest value in s, k, 0.5, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 494637 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 7:06 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 3*d = 24, w - 4*d = -2*w + 3. Let q = 100 + -98. Let m = -1 + -1. Which is the third biggest value?  (a) m  (b) w  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {p: 2, e: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-2*sqrt(39)\/sqrt(3) + sqrt(1573)*3).\nAnswer: 124*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 384*b*r*y**2 - b*r - 4*b*y**2 + 13*y**2 + 2 wrt r.\nAnswer: 384*b*y**2 - b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.007130417 rounded to 4 decimal places?\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 923224 by -15.\nAnswer: -923224\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t + t + 4*t - 5*t.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*w + 229*w - 7480 = -254*w + 111*w for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from gggggggggggggggwwgg?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (j - j + 2*j)*(9 - 16 + 23 + 1 - 3 + 1 + 1 + 4 - 3 + (-1 + 2 + 1)*(-1 + 1 - 1)) to o*j + h and give o.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 52 and 378?\nAnswer: 9828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -9*w - 13. Let q(z) = 4*z + 6. Let r(o) = 13*q(o) + 6*s(o). Let y(v) = 2*v**2. Determine r(y(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(9)\/(sqrt(3) + (sqrt(3) - (sqrt(3) + (sqrt(3) - 3*sqrt(12)\/sqrt(4))))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 1\/5, -1, 7\/66, -4, 11\/84?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the second derivative of -j**4\/12 + j**3 + 7*j**2 + 81*j. Let t(l) = l**2 - 4*l - 10. Let s(g) = 5*k(g) + 7*t(g). Determine w so that s(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 1522?\nAnswer: -1520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 48 and 1182?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 163\/41202 and 10\/63.\nAnswer: 41202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 308413231.\nAnswer: 7, 29, 1519277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*z + 25 - 6*z**2 + 3*z**2 + 2.\nAnswer: -3*(z - 9)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2 - 711*r - 1426.\nAnswer: (r - 713)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 9\/((-189)\/(-77))*2\/1*3. What is the biggest value in -0.03, 0.3, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 5*t + 147, w = -t - 4 - 29. Let y(m) = -2*m**2 - 74*m + 366. Let j be y(-41). Let g = t + j. Solve -i + 5*i - 19 = -p, 2*i = g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 2*k. Let g be (4\/(-6))\/(4\/6). Let o(w) = 1. Let c(a) = g*i(a) + 6*o(a). Let u be 2\/(-1) - (-2 + -4 + -2). What is c(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = b - 4. Let w be (-1)\/6 + -28*(-26)\/624. Solve b*a + w = 4*t + 3*a, -3*t + 2*a = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (200\/125)\/(11\/(2640\/32))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2873603561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1401 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -22*r + 49. Suppose -4*c - 46 = -54. Let h be f(c). Solve -p = n - 5*p, 0 = -5*n - h*p - 25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 19484*m**5 + 20908*m**2 wrt m?\nAnswer: 1169040*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 726 is divided by 126?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1039 = -7*h + 6*h - 2*s, -3*h - s = -3117. List the prime factors of h.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.063 * 0.47.\nAnswer: 0.02961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 9 + 7. Let x be (h\/(-12))\/(4\/30). Suppose 5*q + w = x*w + 29, w - 4 = -q. Let j(p) = -p**2 + 5*p - 6. What is j(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 3:36 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3226 + 3227.6. Which is the closest to -2?  (a) 1\/9  (b) 0.2  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(18\/((-22)\/(-11))).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -24*(-1 - (-1)\/(-6)*-10). Let s be (-4)\/(-8) + (-70)\/4. Is b at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 - s + 3. Let a be t(-4). Let b(k) = k**2 + 4*k - 9. Let o(i) = 1 + 2 - 1 - i. Give a*o(q) - 2*b(q).\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2614.8 - -2615. Which is the closest to 1?  (a) y  (b) 2\/13  (c) -0.1  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -59, -2, 0, 1\/2, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 64252, 256750, 577580, 1026742, 1604236?\nAnswer: 2310062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the first derivative of 4*t**3\/21 + 2*t**2\/7 - 4. Let y(u) = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46689 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 8 + 10. Let d(t) = -t**3 + 6*t**2 - t + 7. Let r be d(6). Let w be (3 + r - 2)*10. Solve -m + w = -g*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*i**2 - 4*i**2 + 8*i**2 + 1 + 0 + 3*i**3 + 0*i**2 to the form u*i**3 + j*i + g + y*i**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -58 + 127. Let i = k - 66. Find the third derivative of i*q**3 + 29*q**3 - 15*q**2 + 7*q**2 + 43*q**2 wrt q.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-23 - 2) + (1879 - 1841).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**3 - 2*a**2. Suppose 2*n + 2*n - 16 = 0. Let w = n - 1. Suppose -5*q - 4*x = -23, 9 + 6 = 3*q + w*x. Determine j(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 7*3\/(1 + 0). Let i be 286\/66 - (-5)\/((-15)\/(-2)). Suppose -j = -3*m - 19, -4*m + 154 - r = i*j. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1792) - (sqrt(1792) - (sqrt(1792) + (sqrt(1792) + 2*sqrt(1792))*5)))*-6)\/((sqrt(100) - -1*sqrt(100))*6 - sqrt(100) - -6*2*sqrt(100)).\nAnswer: -768*sqrt(7)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-6 - -1) + 4 + 0. Let y = -9 + 14. Let g = -568.05 + 568. What is the closest to z in g, y, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14899 + -2539. What is the greatest common factor of 48 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q - 14*t + 9*t - 38, 3*q - 2*t = 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66898384 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-3\/10)*c**(2\/61)*((c*(c**(-1\/61)*c)\/c)\/c*c)**(5\/9) assuming c is positive.\nAnswer: c**(511\/1830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128470430 - 128470430 + 838*d.\nAnswer: 838*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -4*i - 2. What are the prime factors of u(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-7))**(-1\/32) assuming z is positive.\nAnswer: z**(7\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) be the first derivative of -x**6\/6 + 13*x**5 - 1555*x**4\/6 - 1170*x**3 - 3645*x**2\/2 + 88*x + 2. Let l(v) be the first derivative of o(v). Factor l(q).\nAnswer: -5*(q - 27)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus 21.9?\nAnswer: -22.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -1284*z - 3302. Give h(2).\nAnswer: -5870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -13 + 5. Let j = z + 11. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most as big as 2\/5079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gabanlo. Give prob of picking 1 b and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3161 and 363660.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 81190205 divided by -1\nAnswer: -81190205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -379\/3382 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 3*x - 27 = 0, 4*o = 82*x - 85*x + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -130023123 (base 5) in base 13?\nAnswer: -18c30b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wwywwyywwwryyyayww. Give prob of sequence aw.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 92 - 95. Put q, -5, 0 in increasing order.\nAnswer: -5, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1263215887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -599 - -582. Let x(v) = -v**2 - 15*v + 28. What is x(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4244, -4324, -4506, -4832, -5344, -6084, -7094?\nAnswer: -8416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -2*w**2 + 2*w - 207. Let i(v) = 8*v**2 - 8*v + 832. Give -2*i(d) - 9*t(d).\nAnswer: 2*d**2 - 2*d + 199","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -35, -68, -115, -170, -227, -280?\n\"Answer: b**3 - 13*b**2 - b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13932*t**2 + 12601*t**2 - 26529*t**2 - 5*t**3.\nAnswer: -5*t**3 + 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -0.08, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57122651?\nAnswer: 57122651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1211220 (base 3) in base 7?\nAnswer: 3633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1 + 1 - 2*n + (-6 + 1 + 4)*(2*n + 2*n - 2*n) + 0*n - 2*n - 2*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is (-32245)\/2*(-20)\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 9*x**2 + 3*x + 4. Let z be w(-3). Let c = z + -84. Which is smaller: c or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 11 = v, v - 2*b - 3 = -5. Suppose -v*r = 22 - 162. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 567 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40923922.\nAnswer: 2, 13, 1573997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7591 - 3302081\/435. What is the common denominator of -35\/2 and h?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d + 3 = -3*r, 4*r - 26 = -158*d + 156*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 10:40 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -41*o + 6. Let n be r(-6). Let m be n\/45 + 3\/(-5). Suppose q + 136 = m*q. What is the remainder when q is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14\/225 + -5513\/1800. Let s = -460 - -843\/2. What is the common denominator of t and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.386 and 3733?\nAnswer: 3733.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 45278 + 1?\nAnswer: 45280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -111*x - 325699 = -116*x + l, 0 = 5*x + l - 325681. What is the ten thousands digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/13))**(-2\/7)*x*x*x**(-2\/7)*x*x*x\/x**(4\/3) assuming x is positive.\nAnswer: x**(911\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 32594 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -76 - 2*s - s**3 + 34 + 32 + 31 + 3*s**2 + 29 to u + z*s**3 + c*s + a*s**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 39 = -3. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 + 3*o**2 + 5*o + 2. Let y(t) = -t**3 - 4*t**2 - 22*t - 39. Let w be y(-2). Calculate v(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.6897397 grams?\nAnswer: 689739700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4705 + 41569 = -576*c for c.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 620 - 19226\/31. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 26842, 27590, 29612, 33544, 40022, 49682, 63160, 81092?\n\"Answer: 106*h**3 + h**2 + 3*h + 26732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 times 28694?\nAnswer: -114776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 361891 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10609161 is divided by 8739?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.1, -369, -39\/2, -8, -7?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in 7, 2, -3, -661873?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 26696460.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1*1*4\/(-4)*-30. Let d = -17 - t. Calculate the highest common divisor of d and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/2)\/(1\/(-16)). Let u be (-7)\/z*(-50)\/(-35). Which is the nearest to u?  (a) -0.3  (b) 1\/6  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2\/3*i**2 - 10\/9*i**4 + 0 - 2\/9*i**5 - 14\/9*i**3 + 0*i = 0. What is i?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 + 7 + -15 + -6.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -2*s**3 + 5*s**2 - 2*s + 2. Let x be d(2). What are the prime factors of (-4 + (-2)\/(-1))*(-11)\/x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 9*v**3 + 11*v**2 - 5*v - 11. Let t be x(12). Let i = -3522 + t. Let r = i - 8996. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1614013 and -249039.\nAnswer: -1863052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -3*i - 0*i. Let h be 21\/14*i\/(-3). Suppose 3*g - 22 = 6*g + 5*p, -h*p = 4*g + 16. What is the smallest common multiple of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - 27) + 25 + -7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + m - 10 = 0, 4*j + 4*m = j + 6. Let h be (1\/(-14))\/((-1)\/j). Let s = 91472 - 91472.4. Sort s, 0.6, 5, h in decreasing order.\nAnswer: 5, 0.6, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82956.77 millimeters in kilometers?\nAnswer: 0.08295677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 27.960135us?\nAnswer: 0.00000046600225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 123179760 divided by 80\nAnswer: 1539747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3622 (base 7) to base 15.\nAnswer: -5e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 57715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 57\/2 - 28. Let j be (1\/(-7))\/((-1)\/(-2)). What is the smallest value in h, j, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x**2 + 2*x**2 + 2*x**2)*(7 + 7 - 17)*(1 - 3 + 1).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) be the second derivative of a**4\/60 - a**3\/30 + 6*a. Factor l(f).\nAnswer: f*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 512*s = 515*s + 18, -3*s = 2*o + 8 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x**15*x*x*x**(-11))\/((x*x**(-1\/9)*x)\/(x\/((x\/(x*x*x**(-15)))\/x))))**35)**6 assuming x is positive.\nAnswer: x**(-4970\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/125 and 63\/(-140) + 7\/7.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = 21 - 1. Let r(q) = 19*q**2 + q. Calculate the remainder when r(-1) is divided by w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 2 + -3 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*f + 2)*(-3 + 3 - f) - f**2 + 0*f + 0*f - 24 - 15 - 43 + 2*f**2.\nAnswer: 3*f**2 - 82","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1536596 to the power of 1\/2, to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, 0, -268, -4, 5 in descending order.\nAnswer: 5, 2, 0, -4, -5, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4117 and 9895911.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175)\/sqrt(28))\/sqrt(5) - sqrt(30)\/(sqrt(6) + sqrt(6) + sqrt(24)\/sqrt(4)*5).\nAnswer: 5*sqrt(5)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(325) + -1)*2.\nAnswer: -3 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -302 + 1022. Suppose -74*o + 79*o - l = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xpp when three letters picked without replacement from tppppxtpggtggpmppp.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**2 - 33*r - 23092. What is h(175)?\nAnswer: 1758","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10.2 + 16.3. Let y = 6.03 - m. Suppose -o = -2*v + 1 + 5, -5*v + 2 = 4*o. Put y, -1\/4, v in decreasing order.\nAnswer: v, y, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-89*a**2 + 42*a**2 - 6*a + 46*a**2)*((-5 + 6 + 0)*(-1 + 2 - 2) - 1 + 5 - 2).\nAnswer: -a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*l = -77*l - 40 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2*8\/(-12)*9\/24*-18. Solve -u*a + 22*a = 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/9 + (-44)\/(-30))*-5. What are the prime factors of 6 - (348\/p)\/(18\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2118 and 91074.\nAnswer: 91074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -16195245\nAnswer: -32390490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -457*o**4 + 4*o**3 + 289*o**2 - 9*o + 6. Let a(s) = -s**3 - s**2 + 3*s - 1. Let v(x) = -3*a(x) - p(x). Find the third derivative of v(z) wrt z.\nAnswer: 10968*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 909468.7 millimeters in nanometers?\nAnswer: 909468700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -p**3 + p**2 - 2*p - 7. Let j(v) = -2*v**3 - 37*v**2 - 61*v + 55. Let n(d) = j(d) - 5*w(d). Factor n(x).\nAnswer: 3*(x - 15)*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1561, -3140, -4719?\nAnswer: -6298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -78848.7 * -6\nAnswer: 473092.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (20\/(-6))\/((-12)\/144)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1317817.1 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*y**2 + 5*y - 5*y.\nAnswer: 25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n - 150 = -13*n. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -157.1315*0.5\nAnswer: -78.56575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 173641030 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 57.27 - 57. Round w to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-265)\/(-7420)*(45\/5 + -11)*1\/(-2).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/98006175 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.25974076 to 1 dp.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from xgrttwtxt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 3*s**2 - 5*s - 2 + 7 + 9*s. Suppose 2*i + 10 = 4*i. Does 28 divide t(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r + 13. Let h(u) = -u - 13. Let l(m) = -4*h(m) - 3*j(m). Let a be l(-8). What is the first derivative of -k**2 + 4*k**2 - 5*k**2 + 8 + a*k**2 wrt k?\nAnswer: 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 313, 3, 9, -23 in decreasing order.\nAnswer: 313, 9, 3, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 58961408 or 58961407?\nAnswer: 58961408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 0.7, -1\/10, 1\/7, 7, 1, -4 in increasing order.\nAnswer: -6, -4, -1\/10, 1\/7, 0.7, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.06 + -1.44. Let m = q - -0.5. What is the biggest value in 5, -3\/5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = o - 459 + 465, 5*x = 5*o + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 281515693*s**2*y + 126577738*s**2 wrt y?\nAnswer: 281515693*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3162392 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*z**4 - 2662662*z**2 - 3668129 wrt z.\nAnswer: -8*z**3 - 5325324*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(80) + 2 + sqrt(80) + sqrt(80) + -5)**2.\nAnswer: -192*sqrt(5) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 2 - 1 + (2 - 3 + 2)*(-1 + 2 + 2))*(-2*h**3 - h**3 + h**3) + 65*h**3 - 707*h**3 - 2490*h**3 in the form z + v*h + d*h**3 + x*h**2 and give d.\nAnswer: -3142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - -44a5?\nAnswer: 44a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 6*n - 7*n. Let y = 13 - n. Let g(s) = s - 5. Let w(z) be the third derivative of z**3\/3 + 2*z**2 + 6*z. What is y*w(r) + 2*g(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 68c46 (base 13) in base 3?\nAnswer: 100201001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*h + 260*h = -877*h - 118*h - 79178 for h.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 5*j = -30, 0*d - 2*j + 18 = -3*d. Let s = 9 + -13. Which is smaller: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -77.9 - 15385.955.\nAnswer: -15463.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let t be 6\/(-4)*28\/(-6). Suppose t = y + 22. Let w = 27 + y. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttttttptptp. What is prob of sequence tt?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 108625 and 347600?\nAnswer: 1738000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m = -7*m + 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 381 + 138. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 3*k + 3258, -7*k + 2*k - 3262 = -4*w. Is w a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -1 + 6*((0 + sqrt(847))*-5 + 4 + 1*sqrt(847) + 3*-3*(sqrt(847) + 1)))**2.\nAnswer: 48048*sqrt(7) + 5153932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + ((-14)\/(-12))\/(9\/27))*-12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18950036483 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of -9*g**5\/20 - 5*g**3\/2 - 15*g. Find the second derivative of h(i) wrt i.\nAnswer: -54*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -300 - 210 = -5*p. Suppose 3*n = p + 282. Let g = n + -120. Solve y - 2 = 4*j, -4*y - g = -3*j - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1047, -2137, -3173, -4143, -5035, -5837?\n\"Answer: 2*z**3 + 15*z**2 - 1149*z + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -29 - 810118788178.\nAnswer: -810118788207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -373 + 7976. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 132910363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 2)*(3*i**4 - 3*i**4 - i**4) - i**4 - 2*i**3 + i**2 - i**2.\nAnswer: 2*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 48\/(-54)*(5 + (-105)\/20)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {h: 2, n: 6, w: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 56 + -284\/5. Let v = 1.7 - -0.3. Which is the closest to -1?  (a) -2  (b) y  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -2261.\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 540\/(-1053) - 4\/26. What is the third smallest value in 2\/7, 3\/5, f, -0.11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzw when three letters picked without replacement from szssszwsss.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32553*p + 374302.\nAnswer: -32553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 2 - 2 - (27 + -25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*c**4 + 12*c**4 + c**4)*(11 + 6 - 6)*(6*c + c - c).\nAnswer: 1518*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.2 + -0.3. Let a = 34 - 33. Let q = -0.116 - -0.016. What is the nearest to q in a, -2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 4 - 2)*(2*l - 6*l + 2*l) + 1 + 2*l - 1 + (-4 + 1 - 4)*(0 - 5 - 9)*(-46*l + 3*l - 18*l) in the form o + q*l and give q.\nAnswer: -5982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2832 and 264615.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 + -27 + (-11 + 21 - 16).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**2 - 49*g + 9695. Determine z(-126).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3147 and 417502?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (-2 + -1 + sqrt(396) - (sqrt(396) - 1*sqrt(396))*-1 - (3 + sqrt(33)\/sqrt(3) + 1 + -2)).\nAnswer: -10 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, f: 2, c: 1, j: 1}. Give prob of sequence jcuu.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*d**2*m**3 - d**2*m - 40*d*m**3 + 2*d*m - m**2 wrt d?\nAnswer: -16*m**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l**5\/5 + 32*l**4\/5 + 64*l**3\/5 + 8*l**2\/5 - 68*l\/5 - 8 = 0. Calculate l.\nAnswer: -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -26*k - 172 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 39.6 + 5.13834\nAnswer: 44.73834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 10, -5, -46, -119, -230?\n\"Answer: -p**3 - 7*p**2 + 13*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 2*o**3 - 2*o**2 + 3*o - 2. Let h be f(2). Let u = 9 - h. Let w(n) = -3*n - 4. What is w(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3181*s**2 - 80*s**3 - 7*s**4 - 3181*s**2)*(-2 - 1 - 3)*(-6 + 5 + 6).\nAnswer: 210*s**4 + 2400*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*1*sqrt(119)*-5*-2)\/((-2*sqrt(1008) - sqrt(1008) - sqrt(1008))\/((sqrt(28)*1)\/sqrt(7))).\nAnswer: 5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 5*v**2 - 11*v - 56. Let u be o(-10). Let n = u + -204. What is the highest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 89\/7 in 2\/5, -187, -0.1, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6638396533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the third derivative of 19*s**4\/24 + s**3\/6 + s**2. Let x = 13 + -12. Calculate the lowest common multiple of f(x) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2367188409 to the nearest integer?\nAnswer: 48654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (8 - (-3090)\/(-330))*(2 + -5)\/3?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5\/3  (b) 4  (c) 1286  (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-13) + 4920\/(-39). Let b = s - -234. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + -3. Suppose 0 = 4*s + 7 - 19. Let g be 18\/(-30)*(-2)\/s. Which is bigger: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/2*(4\/4 - -4). Solve 2*i - g*l = 10, 2*l = -2*l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*f = 5*b - 15426, -2*b = f - 6166. Suppose -4*a - b = -16*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-16) + -3 + 314\/8. Let a = c + -44. List the prime factors of (140\/a)\/(((-1)\/2)\/1).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -14096*o. Let n(f) = -246686*f. Give 88*c(d) - 5*n(d).\nAnswer: -7018*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6)\/27 - (-40)\/99. Let c = 78\/11 - 1658\/209. Let d = -118\/95 - c. Put -1, k, d in ascending order.\nAnswer: -1, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 6 + -2 + 11 + -15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/5 or -198?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (776046\/(-9))\/(48\/(-72)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*x**5\/5 - 6*x**4\/5 - 57*x**3\/5 + 12*x**2 = 0. Calculate x.\nAnswer: -4, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 31307974 to the power of 1\/5, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 5*a + 23 = 0, m + 7 - 35 = 3*a. Let u(p) = -3*p**2 - 2*p + 1. Let j be u(-2). Let x = j + m. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1098 equal to 1106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 437841479?\nAnswer: 439, 523, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qjwq when four letters picked without replacement from {q: 2, y: 2, j: 7, w: 1}.\nAnswer: 7\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -3*f + 23302. Let m(z) = -5*z**2 - z. What is s(m(h))?\nAnswer: 15*h**2 + 3*h + 23302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 33 - 4\/8*6. Suppose -4*k + r = k. 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: What is the fifth smallest value in 11\/3, 0, 0.175, -0.02, 0.2?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -2*y**2 - 127*y - 89. Let s be l(-62). Which is bigger: 99 or s?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kppgiikiiipigppsgp. What is prob of picking 1 p and 1 k?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -4, 708, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.37 + 9.37. Which is the third smallest value?  (a) -62  (b) -3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-two fifths of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-144 + 144 + 26*j**2)*(-1 + 2*j**2 + 1) + (5 - 3 + 0)*(750*j**2 - 750*j**2 - 14*j**4 - j**3) to q*j**3 + k*j**4 + l + c*j**2 + s*j and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -7*z**4\/12 + z**3\/6 - z**2\/2 - 5*z. Let c be r(2). Is 0 + 6\/(-4)*7596\/c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 889119?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -6*w**2 + 2*w + 38*w**3 - 39*w**3 + 3*w**2 + 6 - 3*w**2. Give q(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*d**4\/8 + 4683*d**3\/8 - 191763*d**2\/4.\nAnswer: 3*d**2*(d - 78)*(d + 1639)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -124 - -120. Let n be ((-16)\/(-2304)*8)\/(2\/(-6)). Which is the biggest value?  (a) n  (b) 0  (c) i  (d) 128\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**5\/d**(-27) assuming d is positive.\nAnswer: d**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h - 98. Let c(s) = 167*s**2. Determine x(c(m)).\nAnswer: -167*m**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1929*b**3 + 5013*b**3 - 3089*b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14105880 by 185.\nAnswer: -76248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 29*l + 201. Determine n(-52).\nAnswer: -1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -7339\nAnswer: 1\/7339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g**2. Let h(z) be the third derivative of z**5\/12 - 5*z**3\/6 - 7*z**2. Calculate h(b(p)).\nAnswer: 5*p**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sum -36747441 and -8.348.\nAnswer: -36747449.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -233 + 227. Let u = 0 + 4. Which is the second smallest value?  (a) 2  (b) n  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*m**4 + 19*m**3 + 14*m**2 - 133069?\nAnswer: 8*m**3 + 57*m**2 + 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kckknkwwwkkwwwcwkn?\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3628 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 greatest common divisor of 16 and 1297168?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xli when three letters picked without replacement from {l: 2, i: 6, x: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 6099, 12195, 18291?\n\"Answer: 6096*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8880\/400)\/(94\/470)?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of w**5\/20 - w**4\/12 - w**3\/3 + w**2. Let s be g(2). Suppose -s - 8 = -m. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -693975, -693972, -693969, -693966?\nAnswer: -693963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3 - 1 = 0. Let p(m) = -3*m**3 - 2*m**2 + 1. Let x be p(-1). Suppose -g + 6*g - 10 = 0, x*i = -g. Are l and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*y**3 + 37603*y**2 + 4436*y.\nAnswer: -30*y + 75206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*d**3*f*w**2 + d**3*f*w - 2*d**2*f**3*w + 253*d*f**3*w**2 + 2*d*f**3 + 3*f**3*w wrt w.\nAnswer: 4*d**3*f + 506*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00002845184 rounded to 6 dps?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 + 2. Find the second derivative of 10*m + v*m**4 - 8*m - 10*m wrt m.\nAnswer: 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooooooooooooooooojo. What is prob of picking 1 j and 3 o?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-36))\/((-2)\/8*2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 AM and 6:31 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 997760 and 1408.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-three sixths of a century in months?\nAnswer: 8600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26970?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 1, q: 2, y: 1, r: 2, p: 1}. Give prob of picking 2 d and 1 q.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4890 and 1693896?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**2 - 3*v**2 + 5*v**2)*(4*v**2 - 2*v**2 + 0*v**2) + 1 + 5*v**4 - 1 + (12*v**3 - 30*v + 30*v)*(5*v + 0 + 0) + 2*v**4 + 2*v**3 - 2*v**3.\nAnswer: 69*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -4*l - 7. Suppose b = -2*b - 2*q + 115, 0 = q + l. List the prime factors of b.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 10.327 from -0.2055.\nAnswer: -10.5325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4904 - 2401. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 30 = -3*b. Suppose -b - 14 = -2*g. Calculate the remainder when 33 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 57083, 113950, 170589, 226994, 283159, 339078, 394745, 450154?\n\"Answer: -i**3 - 108*i**2 + 57198*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, r: 5, g: 4, c: 3}. What is prob of sequence gyg?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes after 5:19 AM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-54 - (-69 + 51)) + 18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -3*f - 3. Determine h(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4888688029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 8*b**2 - 2*b + 4. Let r(u) = -u**2 + u - 1. Suppose 4*k = 3*d + 28, k + 4*d = 4*k - 28. Let z be 8\/k - 5 - -2. Determine z*g(n) - 4*r(n).\nAnswer: -4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + -5 - (1 + 3 - 13). Find the second derivative of 48*b**i + 40*b - 92*b**5 + 66*b**5 wrt b.\nAnswer: 440*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1533186727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 865, 2209, 4043, 6367, 9181, 12485?\nAnswer: 16279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -4*g + 3*g, -2*g + 3 = 3*v. Suppose 0 = 3*l + 2*l + 20. What is the closest to 0.2 in v, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of y**5 + 3298214*y**4 - 7573018*y.\nAnswer: 20*y**3 + 39578568*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -81\/106?\nAnswer: -81\/106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + p + 8*p**2 + 4*p**2 - 1 - 1 - p**3 as s*p**3 + v*p + m + q*p**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**4 + 4*g**4 - 2*g**4 + (0*g + 0*g - g**2)*(4*g**2 + 2*g**2 - 4*g**2).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8542, 8619, 8656, 8665, 8658, 8647, 8644, 8661?\nAnswer: 8710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 5*s, -2*s - 24 = 7*g - 3*g. Let l(h) = -5*h**3 - h - 4. Let c(t) = -t**3 - t - 1. Let r be (3 - 2 - -1)*65\/130. Give g*c(f) + r*l(f).\nAnswer: -f**3 + 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of (-198)\/(4\/3 + (-700)\/336)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 210 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25013 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t**2. Let l(x) = 5*x + 20. Give l(o(d)).\nAnswer: 5*d**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 144*s**2 - 737*s**3 - 143*s**2 + 2 + 699*s**3 in the form a + t*s**2 + x*s**3 + u*s and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 2*a - 24. Let f(c) = -3*c - 15. Let u be f(a). Suppose -61 = -u*d + 38. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 11\/2 of a microsecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*w**3 - 4*w**2 - 9*w - 363*w**3 - 1 - 10*w.\nAnswer: -399*w**3 - 4*w**2 - 19*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(sqrt(5) - (sqrt(5) - -3*sqrt(45)))*4.\nAnswer: -4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -18, 4, 12, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -926*d + 58 - 58.\nAnswer: -926*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 308*x + 12636. Give h(-32).\nAnswer: 2780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(3564) - (sqrt(1100)*-4 + sqrt(44))) + -5.\nAnswer: -2 + 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 2*b + b - 12 + 2. List the prime factors of x(8).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 11 + 80a?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 11492758 to the nearest integer?\nAnswer: 3390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6386 divided by -2.\nAnswer: -3193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -336.1*30.\nAnswer: -10083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 7*m - 14*m + 5*m + 10*m. Let x(q) = q + 30. Let j(f) = 3*f + 25. Let s(o) = 6*j(o) - 5*x(o). What is s(u(a))?\nAnswer: 104*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 491321432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from sjvtevseteesvstvrss?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*q**3 + 28*q**3 - 82*q**3 + 29*q**3.\nAnswer: 9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 812 and 8294?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45745 + -20881. Is 28 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 741282660 to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of -11.39 and 222351.316231.\nAnswer: 222339.926231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1190, -1154, -1110, -1058, -998, -930?\n\"Answer: 4*b**2 + 24*b - 1218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 - -7. Suppose -3*z + 3 = a*o, 4*o - 2*z + 9 = -3*z. Let u be 4 + (o + 1)\/2. Solve -u*j = -0*j + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/187 and 77\/102.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 - -2 - (1 - 4). Suppose 9 = 2*k - s, -3*s - 1 - 2 = 2*k. Suppose -3*v + 7*v = k*n + 32, 2*v + 2 = -3*n. Solve c*z - h + 16 = 0, v*h = 3 - 23 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2046 - 2043. Let o(l) = -l - 6. Let t(x) = -4*x - 18. Let f(u) = -10*o(u) + 3*t(u). Let i be f(k). What is the biggest value in 1, 3.3, i?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14403896 by -3600974.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -303*n**2 - 22*n**2 + n**2 - 1 - 596*n**2 in the form t*n**2 + j*n + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -12665 + 12665.058528. What is u rounded to four dps?\nAnswer: 0.0585","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-8))\/((-7)\/(-140)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v - 3. Suppose -3*q - 3 = 5*d + 3, 2*d = -5*q - 10. Suppose 2*z + 0*z - 28 = d. Let l be (-4)\/(-14) + (-60)\/z. Give n(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11 - -43. Suppose d*z = 56*z - 156. What is the greatest common factor of z and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 - -15. Sort 1\/3, 0, m in increasing order.\nAnswer: 0, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -41?  (a) -0.3  (b) -0.1  (c) 0.07  (d) -3\/95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4159107, -8318216, -12477325, -16636434?\nAnswer: -20795543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -2*m**2 - 11*m + 35. Let t be h(-8). Put t, 8, -0.6 in increasing order.\nAnswer: t, -0.6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1458 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 237307 divided by 1\nAnswer: 237307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6450 is divided by 3225?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -12  (b) 12  (c) -1  (d) 125  (e) 4  (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5*k**3 - 97*k**2 - 3*k + 81697 wrt k?\nAnswer: 15*k**2 - 194*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l + 4*l - 6*l + 6)*(327*l + 229*l + 55*l).\nAnswer: -611*l**2 + 3666*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -12855.1 + 0.1481?\nAnswer: -12854.9519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/(-10))\/(6\/15). Solve -3*k = -t*y, -3*y + k = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 48573*w**2 - 1070 wrt w.\nAnswer: 97146*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 3183*k**2 + 387*k + 54. List the prime factors of s(-4).\nAnswer: 2, 3, 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 - 107.02\nAnswer: -106.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2175*t**2. Let v(k) = 32*k - 5*k - 25*k - 694 + 694. Determine v(z(a)).\nAnswer: 4350*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11.94 + -2.16. Let m = b - -14. Sort 4, m, 2\/7 in decreasing order.\nAnswer: 4, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36808209 is divided by 196?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11 + 14. Calculate the remainder when (121\/33 + 0 + 2)*b is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 1833 + 1857 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21123330 (base 4) in base 9?\nAnswer: 58016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 22 = 2*c, 0*c + 3*c - 5*b = 33. What is the remainder when (-3)\/((-12)\/14)*6 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/(-15) - (2 - 55\/25). Which is the second biggest value?  (a) j  (b) 0  (c) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 6, z: 4, y: 4, g: 1}. Give prob of picking 2 r, 1 z, and 1 y.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1723456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, j: 2, m: 1}. What is prob of picking 1 j and 1 e?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7 + 6. Is -1\/4 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 791, 3, 4 in ascending order.\nAnswer: 3, 4, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) be the third derivative of 9*a**5\/20 + 11*a**4\/12 - 26*a**2. What is the second derivative of n(d) wrt d?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 4 = g - 6*o, -6 = -3*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44 + 82. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 113 + -53. Suppose 171 = 3*z + t. Let u = -22 - -32. What is the remainder when z is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-4)\/(-5) + (-4)\/6)\/(-1). Which is the fourth smallest value?  (a) -4  (b) t  (c) -1\/3  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.45315 months in years?\nAnswer: 0.2877625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1057*l**3 + 1100*l**3 + 1096*l**3 - 3274*l**3.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + 845?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 308820.5 to the nearest one thousand.\nAnswer: 309000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -49923 to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j = -4*t - 0*j + 24, -5*j = 5*t - 25 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 359 divide 15830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2 - (12\/(-2))\/(-3). Solve z - 3*z = r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of 3*w**6\/5 + 29*w**5\/60 + 104*w**2. What is the third derivative of s(p) wrt p?\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z - 2 + 2)*(-2 + 2 + 1) + (-1 - 5 - 1)*(-4*z - 2*z + 3*z).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -14161 from -0.0034.\nAnswer: 14160.9966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12*(66\/8)\/11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/7, -0.5, 40, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 3) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -236782, -947093, -2130948, -3788353, -5919314?\nAnswer: -8523837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, q: 1, y: 5, k: 2, i: 2, c: 6}. What is prob of picking 2 y and 2 c?\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = -0*k. Let n = -421 - -624. Let f = n + -204. Which is the nearest to k?  (a) 4  (b) -2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 2:45 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1216) + -2*sqrt(1216) + 3 + -2 + -1*(sqrt(1216) + 1) + (-1*sqrt(1216) + -1 - sqrt(1216)))**2.\nAnswer: 64*sqrt(19) + 19457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24 is divided by (-24)\/240 + -3*393\/(-90).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -25 + 36. Calculate the remainder when f is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, q: 1, f: 2}. Give prob of picking 1 r and 1 q.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 4  (c) 0.05  (d) -3\/5  (e) 94\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*(l\/(l*l\/(l\/(l*l\/l**5*l))))\/l*l)\/l**(1\/4))**(6\/5)*(l**(-6)\/(l\/(((l*l\/(l**(-1\/4)*l))\/l)\/l)))\/(l**1\/l)**45 assuming l is positive.\nAnswer: l**(-89\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ahhfnkckacakckhfc. Give prob of sequence fcc.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/11361 and -73\/16230.\nAnswer: 113610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 302 divide 4784634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Express (3*q - 3*q + q)*(-q + 1 - 1) - 47 - 50 + 146 - 49 + 1561*q**2 in the form f + b*q + o*q**2 and give o.\nAnswer: 1560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2906 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 14*q**2 - 4*q - 4. Let t be f(-2). Suppose -5 + 65 = 5*c + p, -5*c + t = 4*p. Calculate the highest common factor of c and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 31756, 127067, 285958, 508459, 794600?\n\"Answer: 5*n**3 + 31760*n**2 - 4*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 44687\/884 - 45\/884. Find the common denominator of l and 97*(-2)\/(-20) + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v**2 - 2*v - 7. Suppose 2*u - 4*p = -u, 2*u = 4*p - 4. Let g be s(u). Suppose -5*f + 121 = -2*a, 3*f - 60 = -a + g. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 181038 and 78492?\nAnswer: 1266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15 - 59767.\nAnswer: -59782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y - 5*y - y)*(33*y**3 - 32*y**3 - 37*y**2 - 31*y**2).\nAnswer: -2*y**4 + 136*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 v, and 2 t when four letters picked without replacement from kttkykwtwkkvky.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - n - 3. Let c be l(-3). Let z be (-4)\/(-8)*-6*-1. Suppose -z = -i - 0*i. What is the greatest common factor of i and c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1258 a factor of 2962304599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186*k = 150*k - 328*k + 42952 for k.\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:07 PM and 3:36 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 949  (b) -0.037  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4201430?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 - o**2 + 3*o + 3. Let v be w(-2). Suppose -5 - v = -2*f. Solve 0 = -3*p + 4*p - f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -18 + (-928)\/(-48) + (-8)\/(-3). Solve -5*t - 4*x + 5 = 20, 4*t + 16 = -z*x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 + 4*m - 7. Let q be k(-6). Suppose 3*t + 19 = q*d, d = -t - d + 12. What is the third derivative of -v**6 + v**t - v**6 - v**6 + 2*v**2 wrt v?\nAnswer: -360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -56.30117 + -1412.\nAnswer: -1468.30117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 2836, 2830, 2820, 2806, 2788, 2766?\n\"Answer: -2*d**2 + 2838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 558*j*l**3*n**3*s + 4*j*l**3*n**2*s - 2*j*l**2*n**2 - 2*j*l*n**2*s + 2*j*n**3 + 2*j*n + l**3*s wrt n.\nAnswer: 3348*j*l**3*s + 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -39117 (base 12) to base 9.\nAnswer: -127801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14d (base 15) to base 3.\nAnswer: 102001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kbbkkgbkkkktkkkktbkt. Give prob of picking 2 b, 1 k, and 1 t.\nAnswer: 72\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the second derivative of d**6\/165 - 2*d**5\/55 - d**4\/22 + 6*d**3\/11 + 162*d + 2. Find t such that b(t) = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -27\/340 and 113\/500.\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 1094579964.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from txs. What is prob of picking 1 x and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/(-4 + -2))\/((-13 - -4)\/3846663) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 90678 - 430*y - 9*y - 67*y - 90675 as v*y + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 248998 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 13*r**2 + 2*r + 10. Let q be k(-13). Let u = q - -19. Suppose 3*h + t - 5 = 0, u*h - 6*t + 25 = -t. Solve 15 = 5*d - h*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 43 + -7 + ((10 - 0) + -14 - -8) - -4\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128 = 4*w + 132. Which is the second biggest value?  (a) 2  (b) w  (c) 242  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130 is divided by 56?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((-4*sqrt(104)*1 - -1*(1*sqrt(104) + sqrt(104) - sqrt(104)))\/(sqrt(32) - 3*sqrt(128)))**2*5.\nAnswer: 117\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -15 + 5. Let z be k\/4 + (-11)\/(-2). Suppose -g + 6 = m - z, 5*g - 49 = -4*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 282, 310, 338, 366, 394, 422?\n\"Answer: 28*p + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 9:42 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -g + o - 6, 8 = -2*g - 2*o. Let y = 2 - g. Let k = y + -5. Put -4, k, -5 in ascending order.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - (2 + -7103))*(8 - 608). What is s rounded to the nearest 100000?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3193 - -3196. What is the fourth smallest value in -0.9, -1\/17, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -3*u - 2*u**2 + 7*u**2 - 4*u**2 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/5671 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*b + 6310 = 6327. What is the highest common factor of 127 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 818852 is divided by 365?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 213642 and 17160?\nAnswer: 4272840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of 5*s**7\/84 - 340*s. Determine v so that t(v) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(4356)*-2)\/(6*(sqrt(12) + sqrt(12)*1) - (sqrt(12) - sqrt(1452)*-2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.2 - 0.2. Let y be 8\/7*6582\/(-17552). What is the second smallest value in 118, j, y?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 757913 is divided by 484.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**2 + r + 2. Let s be u(-3). Suppose z - 3*m = -0*z - 3, 4*z = -m - 12. Put z, 3, s in descending order.\nAnswer: 3, z, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1350 and 78713500?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1644413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/(-665)*445935\/(-50964).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -1. Let l be 8\/(-6)*(-6)\/4. Suppose 4*c = -4*r + 8*c + 8, r - 6 = l*c. Let y(i) = -i. Calculate r*n(b) + y(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -344*c**2 + 865*c**2 - 527*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -55 (base 14) to base 11.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 3*q = -2*l - 8, 5*l + 22 = -3*q. Let b be (((-120)\/(-275))\/8)\/((-9)\/(-6)). Which is greater: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 + 2c?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1454902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -45451446 + 160106523. Let s = m + -114655033.5999779. Let i = s + -43.4. What is i rounded to 6 dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-1))**(1\/4) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 74\/45 and 16\/3918195?\nAnswer: 3918195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (74\/10)\/((-4)\/(-20)). Suppose -w + 4*f = r, w + 0*w = 2*f - 29. Let s = w + 23. Solve s*i - 1 = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 7*f**2 + 40*f + 23. Let o be j(-5). Put -1, 1, o, 33 in increasing order.\nAnswer: o, -1, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13 - -42?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 3, e: 13}. Give prob of picking 3 e.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -271 in -4, 2\/3, 2, 20, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b + 34. Let z be w(-16). Suppose -f = z*f - f. Let s = -3 + 3.28. Which is bigger: f or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8022)\/1719*(-3)\/35 + 24\/15. Suppose -f = -5*f - a + 50, 26 = 3*f - 5*a. Suppose f = -3*u + 6*u. Solve -m*p + h = -6, -u*p = h + 3*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 242*h**2 - 4339*h + 76. What is g(18)?\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -89 divided by 6.\nAnswer: -89\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-31 + 31 + 8 - (-2 - 0)) + -34?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 34 + -24. Calculate the smallest common multiple of 3 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:16 AM and 3:26 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 8.839087kg?\nAnswer: 8839.087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 160\/(-350) + 4\/(-10). What is the biggest value in -3, b, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6028418 to the nearest integer?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4684782 - -13?\nAnswer: -468476a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 - -7. Let v = -33 - -29. Let c = v + q. Solve -3*i + c = -4*l, i - 16 = 5*i + 4*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {d: 3, w: 7, c: 3, s: 1, t: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (27\/120*324\/153)\/(504\/30) and -43\/68.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -14.962 to one dp.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + j - 83 = -0*s - 171, 0 = -20*s + 16*s - 19*j - 1597 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + i + 2*i = 13, 0 = t + 3*i - 17. Suppose -2*k + 9 = -3*k. Let l = k + 19. What is the lowest common multiple of l and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 859, 4 in decreasing order.\nAnswer: 859, 18, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 - 46?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*c + 10, -4*s - s - c = 15 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -4\/76785?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (32\/20)\/(7\/(-5) - -1). Let d = 2 + 2. Let s be (-14)\/d - 2\/o. Let n(x) = x**2 + 4*x + 1. Determine n(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o + 40. Let x be q(20). Suppose -5572 = -5*r - d, x*r - 2*r + 5*d + 2218 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 + 10*q - 5. Let y be k(9). Suppose 2*r = y*r - 10. Suppose -b = 3*b - 36. Calculate the lowest common multiple of r and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**2. Let p(v) be the third derivative of -3*v**5\/10 + v**4\/12 + 20*v**2. Determine p(j(b)).\nAnswer: -72*b**4 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 - 125*z - 544. Give p(53).\nAnswer: -4360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z - 1. Let p(h) = -h + 2. Give -3*g(y) - 2*p(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 8*m**2 + 2*m - 40 - m**3 + 3*m + 3*m + 46. Let x be y(9). Let f be (-3 - (-5 - x))*1. Which is bigger: -0.5 or f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -4*n - 10. Let p(l) = l + 1. What is k(m) + 12*p(m)?\nAnswer: 8*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2193*h**2 + 79947251 - 79947251.\nAnswer: -2193*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 AM and 6:34 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -515431.98 and -0.5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -77 - -80. What is the third smallest value in -4\/11, 5\/6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m + 33 = -249. Calculate the greatest common divisor of m and 10481.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -38, 275 in ascending order.\nAnswer: -38, 4, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -38*f + 387. Let b be n(26). Let l = b + 631. Calculate the remainder when (-2 - (-2 - -1))*-87 is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 divided by -9.\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*3*((sqrt(605) + 1 + sqrt(605) + 1 - (sqrt(605) + (-1*sqrt(605)*3)**2 + sqrt(605))) + 4)*4.\nAnswer: -261072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3828078 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.16912 to two dps.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -4*w - b, -10*w + 11 = -5*w + b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1087512 times -610?\nAnswer: -663382320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -11 + 0*l + l + 9. Suppose -20 = -4*h + 2*g, -h = -4*h + 4*g + 10. Let t be m(h). Calculate the highest common divisor of 20 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u**3 + 112*u**2 - 3430*u + 156736. Determine j(52).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/56)\/((-23)\/4416*12)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.02 and 272.3.\nAnswer: 5.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1025 + 2237. Let s = d - 442. Suppose y + 4*u = 199, -4*y = u + 2*u - s. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 8*o**2 + 2*o. Let d(c) = 7*c**2 + 2*c. Let n(a) = -4*d(a) + 3*p(a). What is the second derivative of n(k) wrt k?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3557986839?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -770 - -774. Solve -8 = -3*l - 2*f, i*l - 18 = l + 3*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 53, 61, 67, 71, 73?\n\"Answer: -f**2 + 11*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -2*a**3 - 5*a**2 - 9*a + 2. Let t(h) = -162*h**2 - h**3 + 1 + 81*h**2 + 79*h**2 - 4*h. Give -5*t(d) + 2*u(d).\nAnswer: d**3 + 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1818*n + 60084 = 149*n for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p. Let i(r) = -10*r**2 + 77*r + 7. Let m(v) = v**2 - 8*v + 1. Let u(d) = i(d) + 11*m(d). Suppose 0 = -2*l - 3*l + 40. Let h be u(l). What is q(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 - 4*b**2 + 9*b + 14. What is the remainder when m(-7) is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 268113 is divided by 7244.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 2 + 4 + 25*c.\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n + n**3 - 2*n)*(-1 - 1 + 0) - 6*n**3 + 4*n**3 + 3*n**3 + 3*n**3 + 3 - 3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7\/(-7) - (-9 - 2). Suppose 0 = -6*u + 2 + x. Suppose u*t = 4*f - 390, 2*f + 4*t - 320 = -f. Calculate the smallest common multiple of f and 9.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 0.3  (b) 2\/13  (c) 2\/7  (d) -12.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = s + 25978, 5*d = 28*s - 27*s + 64945. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -93.916 + -0.084. Let u = -162 - m. Let c = u - -68.0165. Round c to 3 dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47*33\/(66\/(-2)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -306 divided by 2\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11412.845 - 11387. Let a = j + -13.863. Let f = a - 12. Round f to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:17 AM and 5:45 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 + 25*g. Give v(22).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -261 by -7.\nAnswer: 261\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8150096*g**3 + 1291721*g**2 wrt g.\nAnswer: -48900576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 + 3*u**2 + 2*u + 5. Suppose 2*t - o = -3, 0 = 4*t + 2*o + 5 - 11. Let z be l(t). Solve 3*r + 0*r = z*f - 24, 5*f = -4*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 536 - 24 = 4*y. Suppose 121*a = y*a - 1589. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 14*l**2 + 569*l. Let j(q) = 5*q**2 + 285*q. What is 5*j(a) - 2*s(a)?\nAnswer: -3*a**2 + 287*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -618, -623, -632, -645?\n\"Answer: -2*y**2 + y - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.3718 - 141.8118. Let k = -146 - q. What is k rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -37*c - 26. Let g(h) = -159*h - 105. Let q(l) = -26*b(l) + 6*g(l). What is q(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1496915 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/5)\/(2\/5). Suppose 0 = -4*c + s*c + 12. What is the remainder when 21 is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*l**2 + 2*l**3 + 3*l**4 + 40*l - 24*l - 17*l + 0*l**3 in the form g*l + j*l**4 + z*l**3 + q + w*l**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.11 + -1.89. Let i = -5 - g. What is the third smallest value in 0, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 45 in 69\/13, -5, -4\/5?\nAnswer: 69\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 divided by -106.\nAnswer: -11\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = 13 + 2, 1 = -x - d. Solve x*n = -2*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = s. Let b(g) = 22143*g**2 + 5*g. What is v(b(d))?\nAnswer: 22143*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i - 21*i**2 + 3*i - i as g + n*i**2 + y*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 4, w: 15}. Give prob of picking 4 w.\nAnswer: 455\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the third derivative of -o**5\/270 - 29*o**4\/27 - 3364*o**3\/27 + 306*o**2. Solve j(m) = 0.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -14 + (12 - (4 + 12)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4*(-105)\/14*9\/(-30). Let c be (-70)\/40 + v + 2\/(-8). Solve -4*j - 11 = -c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 - -14. Let x(z) = 3*z**3 + 7*z**2 - 11*z. Let d be x(2). Let s be ((-6)\/d)\/(1\/(-10)). Are y and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 17373 to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.3999 + 1.4719. What is the fourth biggest value in -6, -0.4, -4\/3, w, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 348289 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-910)\/(-169)*52\/5\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -797 = 4*k + 403. Let g = k + 521. What is the greatest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 28.9 in 2, -3, -0.5, -2\/19, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*q**2 - 61930*q - 619800.\nAnswer: 5*(q - 12396)*(q + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -79*q + 5. Let w(c) = -c**2 + 80*c - 8. What is 4*o(a) + 3*w(a)?\nAnswer: -3*a**2 - 76*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3800)*3)\/sqrt(2).\nAnswer: 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4*(-2)\/(-100)*(-7 - -2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, 1\/3, -0.5, 9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 473245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:40 PM and 4:53 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -10*q**3 + 17*q**2 - 44*q + 15. Calculate m(2).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2185 divided by -431?\nAnswer: 2185\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52*s - 22*s + 133*s to x + z*s and give z.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/1 + (-3)\/(-3). Let k = 2 - o. Which is greater: k or -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -m + 20, m = 5*m - 2*s - 26. Let a(l) = l**3 - 3*l**2 - 9*l - 3. Let f be a(m). Differentiate -7*n**2 + 1 + 9*n**2 + f*n**2 wrt n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, s: 2, e: 4, g: 2}. What is prob of picking 2 s and 1 g?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -2*o + 6. Suppose -60*i + 70*i = 0. Determine d(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32034 and 228.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 11123000201 - 32?\nAnswer: 11123000103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(4\/4)\/((-475)\/(-152))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -529785 or -529783?\nAnswer: -529783","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-6)*(-966)\/1288*8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p and 1 d when three letters picked without replacement from {p: 3, d: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 + 12. Suppose s = -5*u - 3 + 18. Let m be (8\/(-10))\/((-4)\/20). Solve -4*c + 15 = -j - m*j, -u*j - 3*c = 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 12:39 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.24 + -0.06. Suppose 2*c = c + 3. Suppose -j + 9 = -c*z, -12 = 2*j + 5*z + 3. Put p, j, -5 in ascending order.\nAnswer: -5, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*y + 2*y + 5*y**2)*((0 - 4 + 5)*(-y - y + 4*y) - 12*y - 6*y - 12*y + 5*y - y - 2*y) as m*y**2 + h*y + b*y**3 + g and give b.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*u - 18*u = -5*q, q = -4*u for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-214 - 356 - 128 - 256)*(-t**3 - t**4 + t**3).\nAnswer: 954*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 784c63 (base 13) in base 4?\nAnswer: 22310332210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -11536 in decreasing order.\nAnswer: 5, 0, -11536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 7*z**2 - 14*z + 9. Does 45 divide v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-27)\/(-20) + -4 + 3. Let o = -1\/10 + f. Let l = -0.1 + 0.2. Sort 3, l, o in descending order.\nAnswer: 3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2011.12 to the nearest 10.\nAnswer: 2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 44219835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do -3006106 and -3006106 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5583, -22434, -50523, -89850, -140415?\n\"Answer: -5619*p**2 + 6*p + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*s**2 - 4246*s - 8500 = 0. What is s?\nAnswer: -2, 2125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 158049 and -0.2.\nAnswer: -31609.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1313784)\/(-576))\/71 - 2\/16?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -745 + 748. Which is the closest to 3\/8?  (a) -3  (b) w  (c) 0.5  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1152)\/(-45) + (-2)\/(-5). Suppose -p = -3*t - y, 20 = -t - 3*t. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of -5\/6*g**4 + 0*g + 0*g**3 - g**5 - 5\/24*g**6 + 22*g**2 + 0. What is u in i(u) = 0?\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1085604 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.34 - -0.06. Let p = -2 - -9. Let h = -4 + p. What is the biggest value in -3\/5, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*r + 51 + 54 + 60 - 165.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 3, -1\/6, 5, -29, 1\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.07  (b) -65  (c) 8  (d) -1\/215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 666 and 1258?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 111337161 divided by 37112387.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.13 + -0.06. Let g = 0.03 + l. Which is greater: g or -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of -c**7\/840 - c**6\/360 + c**5\/120 + c**4\/6 + c**3 - 2. Let t(w) be the third derivative of a(w). Does 16 divide t(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2*-5)\/((-80)\/(-150)). Which is smaller: u or -18?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7749\/162*24*2\/112.\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + x + 2. Let k be d(3). Let w(j) = j**3 + 6*j**2 + 7*j + 2. Let z be w(7). Is z + ((-3)\/(-2))\/((-6)\/k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*b - 59074 = -22024. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3.32 and 0.2.\nAnswer: 0.664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-2\/3)\/h**(-5))**(2\/99) assuming h is positive.\nAnswer: h**(26\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.1 and 81.7?\nAnswer: 84.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 8*l**3 - 28*l**2 - 2*l + 6. Give y(4).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, l: 1, g: 1, v: 4, q: 1}. What is prob of sequence vgvl?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*y - 75*y - 81*y - 31*y.\nAnswer: -164*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 162*c**3 + 15*c**2 + 15. Let j(r) = -23*r**3 - 2*r**2 - 2. Let l = -345 + 360. What is l*j(g) + 2*a(g)?\nAnswer: -21*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4 - 0)\/(-4) + 1. Suppose m*r + 6 = 4*r. Suppose 0*k = 3*k - 30. What is the smallest common multiple of k and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 608 = 2*w, 0 = 3*r - 3*w + 6*w - 465. Let l = -59 + 159. Let v = r - l. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-4)*(1 + (-4)\/8). What is the closest to a in -0.5, 5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 56, 111, 164, 215, 264, 311?\n\"Answer: -q**2 + 58*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8010 a multiple of 178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3542*u - 1029*u = 2497*u + 417012 for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 131722, -0.3, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -39, 1, -27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-74)\/(-154) + (-117)\/(-195) + 56\/(-110)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xsvsssssexsxssices. Give prob of sequence cs.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 616 is divided by 63?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -48 - -54. Let q be (x - 0 - -2)*1\/4. Calculate the greatest common divisor of q and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a\/(a*a\/a**(-4))*a)**(4\/13)*(a**(-1\/4))**9 assuming a is positive.\nAnswer: a**(-165\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 323913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 1026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - 3)\/(3 - 2). Suppose 0 = -6*u + 5*u - 4. Which is the smallest value?  (a) s  (b) 0.5  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 26, 2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -21+0.08356\nAnswer: -20.91644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6145?\nAnswer: 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/583, -0.5, -3, 3\/2, -2, 0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -53*-0.14\nAnswer: 7.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, u: 1, h: 1, a: 1, c: 1, r: 2}. Give prob of picking 1 l and 1 u.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in o - 176674*o**2 + 176668*o**2 - 3*o - o + 3*o.\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 44117, 44132, 44163, 44216, 44297, 44412?\n\"Answer: r**3 + 2*r**2 + 2*r + 44112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 435573761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of (-4)\/(-6) + 2 + (-7434)\/(-27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-s - 7 + 5 + 1 - 4*s**2)*(-27 + 27 + 6*s**2) to x*s**3 + y + d*s**2 + r*s + b*s**4 and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 87347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g**0*g)\/g*g)\/g)**2)**44 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 29 - (6 + 40 - 23).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*y - 1 + 1)*(12 - 114 - 161)*(1 - 1 + 1).\nAnswer: 789*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5934?\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -6*y**2 + 47*y + 316. Determine n(15).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -513 or -449?\nAnswer: -513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 13*s**2 + 13*s**2 - 1 - 7*s + 2 - 25*s**2. Determine q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5153 is divided by 302?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.86 - 0.16. Let s = u + -0.2. Let x = s + -0.5. What is the nearest to -2\/5 in 0.4, 5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 5*a**2 + 9*a - 46. Determine z(11).\nAnswer: 658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -5, 65290, 4, 0.049?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1004 and 272586.\nAnswer: 545172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.742346 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - g - 1 = 0, 2*q + 0*g + g = -3. Let s be -2 - (4\/8*-4)\/q. Solve 2*c + 0*c = s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**3 + 4*i**2 + 2*i - 3. Let k(f) = f - 1. Let b be k(3). Let x(h) = -h**3 + 3*h**2 + 2*h - 2. Calculate b*y(p) - 3*x(p).\nAnswer: -p**3 - p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*s = 15*s + 19*s + 1397440. Round s to the nearest one thousand.\nAnswer: -175000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -420.1965176 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4123 - 1188. Is (-6)\/(30\/x)*(-2 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -557, -1116, -1673, -2228, -2781, -3332, -3881?\n\"Answer: t**2 - 562*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*b - 3*q + 17 = -90*b - 2*q, -4 = -4*q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j - y, -4 - 4 = -3*j - y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 7, y: 7}. Give prob of picking 1 y and 1 g.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 8044233763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 2. Put 4, -9, a, -1 in increasing order.\nAnswer: -9, -1, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -2*w**2 + 19*w + 11. Let d be z(10). Let k = -8 - -8. Let o(b) = 3*b - 24. Let n be o(9). What is the closest to n in -2\/7, k, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 3*u**2 + 5*u - 5. Let h = 269 + -273. Suppose -2*y = 10 + 10. Let o(i) = -i**2 - 2*i + 2. Determine h*g(b) + y*o(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-2 - -1)*48\/(-47 - -23)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + (2 - 0) + -3 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -9 + 9 + 265*s**2 - 208*s**2. Let g(v) = -12*v**2. What is g(a(i))?\nAnswer: -38988*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of -27*n**4\/4 + 13*n**3\/3 + 21. Find the third derivative of c(z) wrt z.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 4*(-4*sqrt(108)\/sqrt(9) + (1 + 5 + sqrt(3) + -2)**2) + -3.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/12*1)\/(27\/(-108))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 821747?\nAnswer: 821747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75904099?\nAnswer: 17, 67, 103, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2596 - -2595.6. Let r = -0.9 - 0.1. What is the second smallest value in i, -3, -5, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 11 = -l, 3*d - 14 = -5*l - 0*l + 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - -1. Let w be -1 + (-250 - 1) - -2. Let x = 1254\/5 + w. What is the closest to -1 in 2\/3, x, p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 4*c + 3*c - 5*c + 4*c - 3 wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h = 3*b + 21, 3*b + 0*h - 5*h = -24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k. Let i = -646 + 679. Let p(g) = 2794*g - 2796*g + 8*g**2 + i*g**2. Determine z(p(l)).\nAnswer: -82*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10 + 9)\/((-2)\/(-4)). Let h = -0.4 + 0.3. Is h <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 73.38 - -10.42. Let a = -84 + y. What is the smallest value in -7, 2\/13, 0, a?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, w: 1, p: 1, l: 1, q: 5, u: 3}. What is prob of sequence pu?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**2 + 6*f + 8. Let k be u(-4). Solve -a - 2 = -h, 8 = -2*h - a - k*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-2)\/(-14))\/(15\/35))\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (16 - 1) + -1 + 1. Suppose b = -3*k + 6*k. Let o = 0 + k. Calculate the greatest common divisor of o and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 140 - 139.6. Which is the closest to -2?  (a) 4\/3  (b) -2\/29  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.45, 3, -2\/7, -2.9?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13 or -0.018085?\nAnswer: -0.018085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -52 - -81. Suppose -c = -4*i - 9. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -18*l + 67. What is the hundreds digit of x(-22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*v - 2*f + 14041, -3*v + 4*v - 3*f - 4662 = 0. What is the second derivative of k + 4673*k**3 + 8*k**4 - v*k**3 + 107 + 2*k**4 wrt k?\nAnswer: 120*k**2 - 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 2 = 2. Suppose 3*a - 7*a + f*k = -66, -4*k = 2*a - 18. Suppose 3*o + 3*u = 5*u + 15, -o + a = -4*u. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -132 less than -4916?\nAnswer: -4784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -3. Suppose t*b + 6 = -3*v, -5*v - 10 = -3*v. Suppose -10 = -2*z + 4. Solve 2 = -g - 2*s, -b*g + s + 8 = -z*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-8)\/(4\/(-1)))\/(-2))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3766901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50 - 36*x**2 + 65*x**2 + 1104*x - 31*x**2.\nAnswer: -2*x**2 + 1104*x - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbllbllbllblblbbbbl. What is prob of picking 1 b and 3 l?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1625, 3403, 5271, 7235, 9301, 11475?\n\"Answer: z**3 + 39*z**2 + 1654*z - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 PM and 11:12 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 333526783*a**2*w**2 - 84487368*a**2*w wrt w.\nAnswer: 667053566*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, 0, -1 in ascending order.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -f5b (base 16) to base 12\nAnswer: -2337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 240*d**2 - 67*d + 3. Calculate the lowest common multiple of s(-1) and 55.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*d**3 + 9 + 0*d**3 + d**3 + 2*d - 6*d**3 to j*d + x*d**2 + o + h*d**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(1300) - (-3 + sqrt(1300))**2)*4 + (-4*sqrt(1300) + 5)*2.\nAnswer: -5227 + 200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16899.\nAnswer: 3, 43, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, y: 19}. What is prob of sequence yc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/2176 and 83\/156160?\nAnswer: 2654720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -22, -47, -74, -103, -134?\n\"Answer: -l**2 - 22*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((15\/(-6))\/(-5))\/((-3)\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 838213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4448 and 16402?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11010001000 (base 2) in base 12?\nAnswer: b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 454816 and 15372.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from soswswowxon. Give prob of picking 3 w and 1 n.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - (4 + -1 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.44069935 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + -36a803?\nAnswer: -36a803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j**3 + 57*j**2 - 2*j**2 - j**2.\nAnswer: -2*j**3 + 54*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 111, 119, 127, 135, 143, 151?\n\"Answer: 8*p + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ioi when three letters picked without replacement from oiooooooooooiooioooo.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -19) + (1 - 0) + (-4056 - -4069)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = -u + 13, -5*u - 3*h = -1 - 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of -4*x**2 + 0*x + 0 - 9\/10*x**3 + 3\/8*x**4 + 1\/200*x**6 - 7\/100*x**5. Find u such that m(u) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 436.0227 + -436. What is a rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from recrccpscecbcpc. What is prob of sequence brr?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 1395125 less than 1007517?\nAnswer: -387608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 26 - 18. Let d(w) = 5*w**2 + w - 2. Let r be d(2). Calculate the greatest common factor of v and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 62 + -71. Let m be -3 - -3 - (x - -4). Solve -2*t = -3*n - 25, 3*t + 4 = -m*n - 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 - 3*r - 4. Calculate d(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6243 divided by 2081.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of f**4*v**3 - 14*f**3*v**3 + 8*f**3 + f**2*v**3 + 2*f**2*v + 3941*f*v**3 wrt f?\nAnswer: 24*f*v**3 - 84*v**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 147 - 126. Let m(l) = -b*l + l + 3*l. Let a(u) = -2*u**2. Determine a(m(s)).\nAnswer: -578*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1447 a factor of 5093440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -5*b + 161 - 16, -4*b = -3*z + 70. What is the remainder when 376 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*0*88\/(-704)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 23880*q + 167307. What is o(-7)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -6 (base 12) to base 6\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1114315 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: Let x(c) be the first derivative of -3*c**2\/2 - 20*c + 1. Suppose 7*f - 158 = -214. Let v be x(f). Solve -w - 4*s = 16, -w + s + v*s = -11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 v when two letters picked without replacement from {w: 3, u: 1, i: 1, g: 5, v: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2\/5 + 146*v\/5 - 2052\/5.\nAnswer: -2*(v - 54)*(v - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 39 - 7050908\nAnswer: -7050869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12.5 - -16. Let f = 3 - m. Which is the nearest to -0.1?  (a) 2  (b) f  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 765436 and 150598?\nAnswer: 8233795052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m*m\/(m*m*m**(-2\/13)*m*m))\/m)*m**(-5)*m*m**(1\/4)*m\/(m\/(m*m\/(m**1*m))))\/((m**(-2\/3)\/m)**(-36)*(m*(m\/m**1)\/m*m)**(-6\/7)) assuming m is positive.\nAnswer: m**(-21493\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14828 - 14820. Put -5, w, -1269 in decreasing order.\nAnswer: w, -5, -1269","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**33*z**16\/z*z)**(3\/4) assuming z is positive.\nAnswer: z**(75\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 15) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -714149 to the nearest 10000.\nAnswer: -710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/3)\/(((-20)\/3)\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -8 - 5*x**2 + 10 + x**3 + x + 3. What are the prime factors of k(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7069 + -18253. Let a = 981 - 991. Is s\/(-5) - (1 + 1)\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 132 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.23642031 and -271?\nAnswer: 270.76357969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 156 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 379029229.\nAnswer: 17, 571, 39047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o - 1 + 1)*(-o + o - 2*o)*(-4 + 3 + 5).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*5*1*(-19)\/418.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1838, 4, 8 in increasing order.\nAnswer: -1838, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, 4, 3560, 5 in decreasing order.\nAnswer: 3560, 5, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (3 + 0 + -4) - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-24) - 15\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12605505383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -355 in -0.4, -1.6, 2, 0.5, -2\/13?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -8590 equal to -8593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -285*o - 7. Let k be u(-11). Suppose -6*r = -29*r + k. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*p + 5*h + 19, 2*p + 4*h - 4 = -12. Factor -4*q + 5*q - 5*q + 2*q**2 + p*q.\nAnswer: 2*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -2*w**3 - 23*w**2 - 11*w - 6. Let n be i(-11). Is 5 a factor of 1\/(n\/64)*165\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/4  (b) 0.2  (c) 12  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -4\/17, 3, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 210 (base 3) to base 14.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4 and 9448?\nAnswer: 9448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5\/4, -1\/6, -56?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -8. Suppose 4*p + 2*h + 3*h - 187 = 0, u*h = -5. Suppose 2*n = 3*l + p, -19 = 2*n + 4*l - 67. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((782 + -784)\/(-21 - 1))\/(-2 + 380\/187).\nAnswer: 17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3325 is divided by 298.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -899849 less than -899849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*r - 2392 = 478. Which is smaller: r or -68?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -35 - -28. Let n(l) = l**2 + 4*l + 5. Is 22 a factor of n(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.24 - -2.84. What is the closest to -0.2 in -2\/3, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of 7\/2*x**2 + 2 - 9*x. What are the prime factors of g(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -c (base 14) to base 6\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 3*i = 87, 7*i - 26 = -t + 2*i. Suppose -3*c = 5*h - 28, -5*h = c + 5 - 21. Calculate the least common multiple of h and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*(y\/(y*y*y**(-7)*y*y))\/y*y*y**(2\/9)*y**(2\/23)*y**(2\/7) assuming y is positive.\nAnswer: y**(8107\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -9, -5, -1?\n\"Answer: 4*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:23 PM and 10:38 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 + 43. Does 21 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -14*l**2 - l + 1. Calculate q(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*i**3 - i**4 + 2*i**3)*(-37*i - 57*i - i).\nAnswer: 95*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6373716 and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-14)\/(-21)*3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(153)*-6 + -1)**2 + (sqrt(85) - 2*sqrt(85)*-6)\/(-2*sqrt(500) - sqrt(500)).\nAnswer: -1093*sqrt(17)\/30 + 5509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/3, 75, 1957?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -21837*p. Let d(a) = -a. What is d(g(w))?\nAnswer: 21837*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + 0.5. Let z = 0.5 + o. Sort z, -2, 2\/5.\nAnswer: -2, 2\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*l = 75*l - 93. Solve l*u = -2*k - 5 - 14, -4*k - 33 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, a: 8, q: 2, u: 3, d: 2, n: 1}. Give prob of picking 2 d, 1 s, and 1 u.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together 61.8 and 67791.4.\nAnswer: 67853.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z + 4. Let y be u(6). Let v be 1\/(-2) - 2\/(-3). Let i = 0 - -1. Which is the closest to -2\/7?  (a) v  (b) i  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 4:25 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -2*g. Let y(m) be the third derivative of -22*m**4\/3 + 131*m**2. Determine t(y(i)).\nAnswer: 352*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = -g + 3844, 2*g - 12595 = -2*f - 4897. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + 10*u + 16. Let p be s(-8). Solve -2*x + 8 + 0 = p for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*m - 50 = 117 + 210 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b + 60 = 7*b. Let n = 116 + -126. Is (5132\/b)\/(2\/n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(66) - -6*1*sqrt(66)) + -1*-1*sqrt(66)))\/((sqrt(66)*-3)\/sqrt(11) + sqrt(6) + sqrt(72)\/(sqrt(12) + sqrt(60)\/sqrt(5))) + 1.\nAnswer: 1 + 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-139 - -1) + -220 + 230 - (-21 - -1)\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 1327*m**2 - 14*m - 2. Is s(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of -6*h + 0*h**3 - 6 - 7\/20*h**5 + 0*h**4 + 5*h**2. Let r(w) be the first derivative of x(w). Differentiate r(m) wrt m.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -0.1 = -165368.8924?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 152*g**2 - 47*g - 7376. What is j(-152)?\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -179*b = -177*b + 10. What is the nearest to 1\/3 in -19.8, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(17)*-2 - sqrt(17))*3)**2 + (sqrt(17) - (-1*(0 + sqrt(17)))**2).\nAnswer: sqrt(17) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1012102121012201 + 2?\nAnswer: -1012102121012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the third derivative of 13*w**5\/5 + 7*w**4\/24 + 6*w**2 + 6. List the prime factors of m(-2).\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -364697545 by -72939509.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y + y - 1366*y**2 + 1374*y**2. Let c(i) = 42*i. What is w(c(k))?\nAnswer: 14112*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = x**2 - 10*x + 2. What is the tens digit of r(13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*g = -13, -2*g = -4*f + 2*g + 28. Suppose f*v - 7 = 3. Suppose -189 + 61 = -4*l + v*w, -w = -l + 33. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 - 7*j - 7. Let l be u(-8). Is 8\/2 - (-30)\/l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -6. Let y(w) be the third derivative of -w**2 + 0*w**4 - 1\/60*w**5 + 0 + 0*w + v*w**3. Let l(z) = -2*z. Calculate y(l(r)).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16541*b**3*h - 161*b**3 + 2*b**2*h - 24*b**2 + 7*b*h - 81*b + 2*h + 10 wrt b?\nAnswer: 99246*h - 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5317*c + 1071 = 140698 - 19866 + 34432 for c.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -20.26 * 0.1.\nAnswer: -2.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4310045312?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 39*a + 42*a + 77 - 81*a - 2*a**2 to the form q*a**2 + o + t*a and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = 5*m - a, -94*a - 5 = m - 92*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r - 89 = -33. Let q be ((-6)\/10)\/(488\/(-120) + r). Calculate the greatest common factor of q and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -44*m - 195. Let h(j) = 67*j + 303. Let p(q) = -5*h(q) - 8*v(q). What is p(-3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -117 - 163 = 10*i. Let v be (-98)\/i*(-8)\/(-7). Let n(w) = -2*w**2 + 3*w. What is n(v)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -6*(-2)\/(-6)*-1. Let u be 4\/t - (-9)\/(-12). Let v(j) = -2*j + 23. Let i be v(13). Which is the nearest to 2\/3?  (a) 1\/10  (b) i  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5422 (base 6) in base 12?\nAnswer: -872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (10\/8)\/(8\/(-32))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 73978 is divided by 36412.\nAnswer: 1154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 56fe57 (base 16) in base 9?\nAnswer: 11648524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -27.04 * 84784.\nAnswer: -2292559.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1102449 is divided by 20789.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/513 and 151\/6.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -260*i**5 + 2*i**4 - 3679*i**3 + 2832363*i**2 - i + 2?\nAnswer: -15600*i**2 + 48*i - 22074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0092 and 0.0155.\nAnswer: 0.0001426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 4*j**2 - 2*j + 4. Determine o(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 15 = -3*d, -2*r + 4*d = 6 - 46. Let v = -27 + r. Suppose -4*j - 10 = -x, -5*x + 8 = -0*j + j. Sort x, 4, v in decreasing order.\nAnswer: 4, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o + 25 = -v, -26 = 4*o - 3184*v + 6364*v - 3178*v for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -183 divided by 1\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*u**2 - 2*u**2 - 5 + 2*u**2)*(-u - 1 + 1) to x*u + y*u**3 + i*u**2 + k and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 + a + 6. Let p be ((-4)\/6)\/(16\/(-72)). Let d be f(p). Suppose d = 4*s - 5*v + 10, 5*v + 15 = -s. Put -4, 3, s in decreasing order.\nAnswer: 3, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 5*i - 8 = 9, 3*i = z + 9. Let s be (-4 - (-18)\/4)*z. Are s and 3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2697 + 2791. Solve -99*x + t*x - 20 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express c**3 + 3 + 2*c**3 - c**3 - c in the form d*c + y*c**3 + u + g*c**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 + 1.4. Let q = 0.15 - b. Let x = q - -0.03. Round x to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1267971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 140, 1138, 3842, 9104, 17776, 30710, 48758, 72772?\nAnswer: 103604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -6*m. Suppose 2 = 8*b - 6. Give y(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0\/(3*(-2 - -3)). Solve w*j - 5 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.4  (b) 1  (c) 1\/5  (d) 5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1435829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -291709?\nAnswer: -291707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 2*b + 7 = 0, 9 = -0*c + 2*c - 3*b. Let q be (1*-3)\/c*0. Let w = -0.01 - -3.01. Sort q, w, -3 in increasing order.\nAnswer: -3, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*k**2 - 2091*k + 0*k**4 + 2008*k + 11*k**3 + k**4 as i*k + y + c*k**3 + g*k**4 + q*k**2 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2880 is divided by 131?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 51286 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/108 and -149\/2466.\nAnswer: 14796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*o**5\/7 - 16*o**4\/7 + 14552*o**3\/7 + 74048*o**2\/7 - 11064244*o\/7 + 1567952 = 0. Calculate o.\nAnswer: -43, 1, 28, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**3 + p**2 + p + 1. Let t(g) = 3*g**3 - 14*g**2 - 5*g - 13. Let w(y) = 4*j(y) + t(y). Let z = 331 - 341. Let i be w(z). Is i at most -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 11*t - 30. Let l be i(3). Suppose -3*b - k = -9, -5*k + l*k + 12 = 4*b. Solve 0 = 4*w - 2*v - 16, -w = -v - b - 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 215623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -37*d**2*j**2 + 8*d**2*j - 6*d**2 + 22*d*j**2 - 2*d + 2*j**2 - 14*j wrt d?\nAnswer: -74*j**2 + 16*j - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.5 + 0.1. Let z = 0 + 0.05. Let v = 0.95 + z. Sort v, 3\/5, a in decreasing order.\nAnswer: v, 3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/10)\/((-68)\/(-194480)*26).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*m = v - 45*m - 154873, -4*v = -2*m - 619480. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -104, -3\/5, 24890\/3 in decreasing order.\nAnswer: 24890\/3, -3\/5, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 354193 by 2.\nAnswer: 354193\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -573 (base 9) to base 5\nAnswer: -3341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12519035 + 1?\nAnswer: 12519036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15\/94 + -2771\/282. Calculate the common denominator of h and -13\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 4620494278?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of f**5\/12 + f**4\/4 - 8*f**2 + 2*f. Let h(y) = 55*y**2 + 65*y. Give -6*h(o) + 65*u(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 4 + 2)*(0*p + 15*p - p)*((p - 4*p + 2*p)*(p**3 + 0*p**3 - 2*p**3) - 5*p**4 + 0*p**4 + 2*p**4 - 9*p**4 - 7*p**4 + 19*p**4).\nAnswer: -56*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1224)\/153*(-2)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*j**2 + 3*j**2 - 9*j**2 + 3*j**3 - 720 - 3*j**2 + 2*j - 410 to h*j**2 + l*j**3 + z + n*j and give z.\nAnswer: -1130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 312359699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*l + 9*l + 3459576*l**2 - 3459557*l**2.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4645 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = r - 2. Let j be q(4). Suppose 0 = -j*b + b - 2*b. Suppose b = -14*x + 9*x + 675. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -21.01 - 130.89. Let g = y + 143. Do g and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (45\/20)\/(3\/160) and 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 8598?\nAnswer: 25794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 + 0 = -5*p. Suppose 0 = -4*m + p*m. Solve m = -0*g + 3*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 AM and 7:12 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -9*x + 2. Let t(q) = 198*q - 45. Let o(s) = 2*t(s) + 45*z(s). Let l(g) be the third derivative of -g**4\/8 - 24*g**2. Give o(l(u)).\nAnswer: 27*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 - -109. Calculate the greatest common divisor of n and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.03 - 0.97. Which is greater: 0.4 or i?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -76.742 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/8673 and -34\/497?\nAnswer: 615783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-3) + 2 - -39. Suppose -6*z + 3 = -g. What is b in -15 - 4*b**3 - z*b**4 + 15 - b**3 + 2*b**2 = 0?\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71175 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3581, -7154, -10725, -14294, -17861?\n\"Answer: f**2 - 3576*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 17*k**2 + 1. Let g = 16 - 19. Let d(w) = w**2 + w - 7. Let y be d(g). Give j(y).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -6*u - 4. Let c(h) = h + 1. Let y(s) = -4*c(s) - v(s). Let g(w) = 9*w. Give g(y(a)).\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 532*s**5 + 20208*s**4 - 1323920*s**3 + 2604360*s**2 - 1320452*s + 19272 = 0. Calculate s.\nAnswer: -73, 2\/133, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**2*s - 442*m**2 - 239*m*s + 1 with respect to s.\nAnswer: -2*m**2 - 239*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -4*k**2 - 6*k**2 + 15*k**2. Let f(t) = 2 - 2*t - t + 0*t. Let h(d) = -16*d + 11. Let r(y) = -11*f(y) + 2*h(y). Give l(r(z)).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*t**2 + 13*t**2 - 8*t**2 + 5*t**3 + 3*t**5 - 2*t**2 wrt t.\nAnswer: 180*t**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10308 and 492.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) be the second derivative of -7*p**6\/30 + 4*p**2 - 6*p. Find the first derivative of o(y) wrt y.\nAnswer: -28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 10) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 23118168 a multiple of 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 36 - -11. Which is greater: g or 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 2:59 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1206 = 17*x - 1291. Which is the fourth biggest value?  (a) -2\/5  (b) 10  (c) -0.5  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 1 + 3)*(0*c - c + 3*c) + 3*c + 11*c - 2*c)*(6*c**2 - c**2 - 3*c**2).\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1262*w**2 - 631*w**2 - 630*w**2 - 47 + 6*w**3)*(-4 - w**2 + 4).\nAnswer: -6*w**5 - w**4 + 47*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-516)*4\/6)\/((-52)\/(-104))?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 255662 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 11*r + 4 - 4 - 20*r + 12*r. Let w(f) = -3*f. Let y(o) = 26*o. Let s(q) = -24*w(q) - 3*y(q). What is -11*g(c) - 6*s(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1898 is divided by 180?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 12:09 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*g**2 + 3*g**2 - 3*g**2)*(1 - 2 + 36*g**2 - 38*g**2) to the form k*g**2 + c*g**4 + i + d*g + p*g**3 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2.0491 - 0.0491. Which is the nearest to 2\/3?  (a) 5  (b) -4  (c) 3.5  (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.667 - 0.133. Put q, -3, 5 in increasing order.\nAnswer: -3, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -115 - 125 + 179 - 68*t + 57*t.\nAnswer: -11*t - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l**4 + 6*l**2 + l**4 - 4*l**2 + 3 to z*l + h*l**2 + u*l**3 + q*l**4 + b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 46639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(12))**2*-5 - (sqrt(21)\/(sqrt(7) + (sqrt(175)*5 - sqrt(7))))**2.\nAnswer: -65628\/625 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33\/5 of a micrometer in nanometers?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q**5 + 1977234*q**4 - 16477386*q**3 + 41523408*q**2 - 17795943*q - 35591562 = 0. Calculate q.\nAnswer: -219701, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3377*x**2 + 318*x - 5 wrt x.\nAnswer: 6754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-20 - -20) + (19 + 0 - ((31 - 19) + -9))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 1:50 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 8\/20 + (-56)\/(-35)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t - 4*p - 1044 - 124, -t - 2*p = -295. Suppose 3*w + 2*l - t = 0, -2*l + l + 97 = w. Calculate the greatest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**14*s**19*s)**(18\/5))**1 assuming s is positive.\nAnswer: s**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (21\/(-14))\/(1\/(-2)). Let b be (2\/4 + -4)*-4. Suppose -y - 5*z - 2 = 0, -3*y + 5*z + b = -0*y. Solve -m - 5*r = 5, -m + a = m - y*r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-100)\/(-43160)*-26)\/((-10)\/4)?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m and 1 f when four letters picked without replacement from zfzfm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2 - 2 + 2)*(4 - 1 - 1) + 151 + 539 + 27)*(31 + 6*f - 31) to q*f + m and give q.\nAnswer: 4326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20090 - -20105. Solve -i*r - h - 7 = -13*r, -16 = 2*r - 2*h for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49 - 2*o**2 - 2*o**2 - 14828*o - 76 - 4 + 14828*o.\nAnswer: -4*o**2 - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1982 = 296*i + 3007 + 3119 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 8*r**3 + 16*r**2 + 3*r + 6. Let a(f) = -2*f**3 - 4*f**2 - f - 2. Let t(m) = -22*a(m) - 6*y(m). Factor t(p).\nAnswer: -4*(p - 1)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes after 11:28 AM?\nAnswer: 7:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -4*w**3 - w**2 + 1. Let p be z(-1). Let x(q) = q - 4. Let i be x(p). Let j be 4\/16*(-8)\/6. Is j != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 268*c - 96*c - 138 = -998 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 + 13*q**2 + 6*q + 40. Let a be b(-13). Let i = a + 43. Calculate the smallest common multiple of 50 and i.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 11 = -3*s + 2*t, 0 = 2*s - 5*t - 19. Does 3 divide (-1 - s) + (-27 - 3)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 9\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2656486521 to the nearest integer?\nAnswer: 51541","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, e: 6, l: 2, m: 1, a: 3}. Give prob of picking 2 e and 1 k.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (34 - (32 - 39)) + -38.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 3*c - 99, -3*c = -2*s - 13 - 32. Let k = 18 + s. Find f, given that 1\/3*f**2 + 0 + k*f = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 155.8157037 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((sqrt(42)\/sqrt(2))\/sqrt(7) + 2)**2)*-4.\nAnswer: -48 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7336*n**5 + 7*n**3 + 2*n**2 - 1616585*n.\nAnswer: 146720*n**3 + 42*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:07 AM and 9:08 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 7*u - 33. Let z be v(5). Suppose 4*h + 1 = 3*k + 13, -z*k = 3*h + 25. Let p = 1\/35 - 79\/315. Which is the closest to k?  (a) -3\/5  (b) p  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.34222 times 0.0662?\nAnswer: -0.022654964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (-50)\/(-22)) + 592\/880?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -201310 = -5*q - 2*r, -5*q + 10*r + 201285 = 7*r. Is 132 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 17053 and 3979?\nAnswer: 13074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -31 - (12\/(-6))\/(0 + -1). Let c = 110 + u. List the prime factors of c.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31955 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/31503 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1568 * -0.5.\nAnswer: -784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - x + 1)*(-3 - 4 - 1)*(-10*x**2 + 2 + 2 - 3).\nAnswer: -80*x**3 + 8*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -2*b + 6. Let h be (21 - 19)\/(4*(-1)\/(-10)). Solve 1 = -b*q + h for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -98, -163, -240, -335, -454, -603?\n\"Answer: -k**3 - 58*k - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 - 10. Let p be j\/(-4)*(-24)\/(-30). Let v = -69\/26 + 15\/13. Which is the second smallest value?  (a) p  (b) v  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -20\/283 at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 - r**2 - 5*r - 3. What is the units digit of w(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-19*u + 10*u - 6*u + (2 + 2*u - 2)*(0 - 4 + 2))*(u**3 + 2*u**3 + 3*u**3).\nAnswer: -114*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w**4 - 195*w**3 - 3069*w**2 + 3267*w = 0.\nAnswer: -33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 29 + -7. Suppose 3*r - 29 = 13. Let h = r - -29. What is the remainder when h is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 h when three letters picked without replacement from {o: 3, u: 4, h: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 2306*m - m**3 - 4862*m + 1687*m in the form g*m + q*m**3 + o + a*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149589, -299201, -448813?\nAnswer: -598425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14844083 is divided by 48.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 0 + -3 + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 7 = -0*d + 5*c, -4*c = 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4061 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 z, and 1 a when three letters picked without replacement from {r: 4, z: 9, b: 2, a: 1}.\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 31*f**2 + 19*f + 3. Let v = 130 + -159. What are the prime factors of z(v)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -23*z**2 - 5*z + 5. Suppose 9544 = -186*y - 11127 - 9275. Let k(o) = -736*o**2 - 161*o + 161. Give y*d(w) + 5*k(w).\nAnswer: 23*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**5)\/(a**(-1\/12)*a))\/((a\/a**(6\/17))\/(a\/a**6*a)) assuming a is positive.\nAnswer: a**(89\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 1.5, 0.0051.\nAnswer: 0.0051, 2\/3, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 725 - 486. Suppose -10*g + s = 9. Suppose y - 5*o = g, -2*y + 0*y + 4*o = -46. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + i + 7*i**2 + 22*i**2 + 5 + 8*i**2 + 15*i**2 to y*i**2 + o + u*i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from {o: 7, u: 1}?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13905 and 135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 4, -3, 13\/9, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/(-12)*(337 - 223). Which is smaller: x or -217\/11?\nAnswer: -217\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 10*w - 15. Let t(n) = -19*n + 29. Let h(f) = -7*l(f) - 4*t(f). Is h(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*m*m*m**(-5)*m*m*m)\/(m*m**7*m))\/((m*m**(4\/13)\/m)\/(m\/((m\/(m**(-5)*m))\/m))) assuming m is positive.\nAnswer: m**(-134\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(540)\/sqrt(108) - sqrt(45))\/(1*sqrt(441)) - (-6*(-5 + sqrt(720)*-1))**2).\nAnswer: 181444*sqrt(5)\/21 + 53640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3314\/(-1657)*7\/16\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hu when two letters picked without replacement from ezzuhtz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 - 43. Let n = v + 23.00059. Round n to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + g + 2*z = 0, 0 = -4*g - 5*z. Suppose -5*l = -3*v - 68, g*v - 12 = -l + v. What is the greatest common factor of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(605)*3*-6 - (6*(-2 + sqrt(605)))**2.\nAnswer: -21924 + 1386*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3066 and 17.\nAnswer: -52122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -1683289.665 to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j**3 - 3*j**3 + 0*j**3)*(1 - 1 - 2)*(-3*j + 9 - 9) + (-j**3 + j**3 - 2*j**4)*(4 - 1 - 2).\nAnswer: -14*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -k**2 + 51*k + 2887. Give l(85).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 4\/7  (c) -2\/421  (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001710992 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*r - 1 = -10*r - 2*c, -c = 2*r - 8 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = 4*i - 7, -i + 13 - 3 = -2*d. Solve -i*u - 5 = -13 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-55748)\/(-29865)*(-30)\/16.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40287017?\nAnswer: 40287017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 59588596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) be the second derivative of y**3\/3 + 30*y**2 - 48*y. Find the first derivative of u(t) wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 580330406 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 97*l**2 - l**3 - 70*l**2 - 593*l**2 - 397*l**2 + 0*l**2 as w + g*l**2 + p*l**3 + s*l and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1075, 1089, 1103, 1117, 1131, 1145?\n\"Answer: 14*x + 1061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1939 - -1014. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i = -0*i. Which is greater: i or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8975\/(-15)*(-12)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161037 to the power of 1\/2, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3695544 to the power of 1\/2, to the nearest integer?\nAnswer: 1922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 242504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.02 - 0.23. Let a = -1.5 - -0.95. Let d = a - i. Which is greater: d or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-54)\/(-11) - 52\/(-572). Let a(u) = -u - 7. Determine a(s).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - q + 51713 = 0, 4*c - 28332 = -4*q + 23372. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60)\/460*(-265)\/(-159)*(-2)\/(-5).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/((8\/(-18)*3)\/2). Suppose 0 = a*o + 2*o - 395000. What is o rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (16\/(-4))\/(-5 - -1). Let a(v) = v**2 + 14*v + 13. Let g be a(-13). Let p(m) = m + 1. Let z be p(g). Is k equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1080)\/(-2025)*(-10)\/(-12).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*t + 4 = -2*s + 28*t - 17*t, 20 = -8*s + 5*t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.5134 litres in millilitres?\nAnswer: 35513.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 127.4771 millilitres to litres.\nAnswer: 0.1274771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100 = -3*u + u. Let n be (u\/4)\/(2\/12). Let p = 103 + n. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*c - 1 + 1 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, f: 1, y: 1, a: 5}. What is prob of picking 2 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from lwwwpwllwpwwwww?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/116 + ((-64296)\/(-12122))\/18?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.06  (b) 1  (c) -41  (d) -2.3  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -u, -8*f = -3*f + 4*u - 112. Suppose -29 = -2*h - 37. Let x be (21\/28)\/((-5)\/h + -1). Solve 0*w + x*w - f = 3*y, -2*w + 5*y = -28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k + 1. Let u be o(-3). Suppose 0 = -u*a - a + 75. Calculate the highest common factor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 657764221\/143880 - 1949\/5995. Let n = t - 4573. Find the common denominator of 97\/16 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -208*s + 116 = -202*s - 1714. What is the remainder when 660 is divided by s?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -6474, -19701, -32928, -46155, -59382?\n\"Answer: -13227*q + 6753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 2*z - 1. Let l be (-2)\/(-9) - (-1 - 34\/9). Suppose -4*s + u + 8 = 4*u, 0 = 4*u. Which is the nearest to s?  (a) l  (b) z  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 59431494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17 + 59 - 17) + 0?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -131 + 35 - (-121739)\/1264?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, 0.0275, 3\/8, -2381?\nAnswer: -2381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-24*a**3 + a**3 - 8*a**3)*(-3*a**2 + 7*a**2 + a**2).\nAnswer: -155*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/84*8)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - 37.6761800613.\nAnswer: -37.2761800613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s - 4*s + 4*s + (2 + 1 + 0)*(-s - 4 + 4) - 2*s - s + 2*s - 3*s + 2*s - s + 4 - 4 - 4*s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5371 - 482*w + 5371 to the form g*w + j and give g.\nAnswer: -482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0 and -79141.\nAnswer: -79141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23 + 1014?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 w, and 1 j when four letters picked without replacement from {p: 4, w: 2, j: 4, i: 2, r: 2}.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y - 4 = y - 4*c, -3*y - 3*c + 27 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166*f - 166*f - 163*f + 9 + 1472*f - 975*f.\nAnswer: 2*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 + -9. Suppose 5*i = 5, -b*t - i = -369 - 57. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -9, 1\/2, -5, -0.2, 847?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/((-4)\/(-312)*-3). Let z be q\/39*54\/8. Let t = z - 21. What is the highest common factor of 1 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -29  (b) -2\/1149  (c) 0.3  (d) -2\/9  (e) -2\/3  (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 127*k - 12 = 131*k, 17*n + 31 = 3*k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - 46\/(-11)) + -2. Which is the third smallest value?  (a) 1\/2  (b) 0.3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a millimeter in micrometers?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 20.4 * -93\nAnswer: -1897.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10568?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 83 and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 9:39 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 41\/44 + -2\/11. Let g = 10.93 - 61.73. Let i = g + 50.5. Sort -4, k, -1, i.\nAnswer: -4, -1, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/924 and -155\/198.\nAnswer: 2772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*u + 370 = -53*u - 48*u + 138*u for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 8880 divided by -2220\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -5*k**3 - 86*k**2 + 92*k + 4. Let q(y) = 2*y**3 + 43*y**2 - 45*y - 2. Let s(w) = 4*n(w) + 9*q(w). Find the second derivative of s(c) wrt c.\nAnswer: -12*c + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssjsjddjsjsjdj. What is prob of picking 1 s and 2 d?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2340 and 277940.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 43\/3 + -14. Let y = 0.1 - -2.9. What is the closest to v in -2\/5, y, -0.5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 308?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*c + 5*c - 5*c)*(c**2 + 27*c**3 - 3*c**2 - 294*c + 292*c - 2) to the form g*c**4 + q*c**3 + d*c**2 + r*c + h and give r.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -o - o**3 - 5*o**4 - 6*o**4 - 1 + 2*o**2 + 13*o**4 in the form b*o**4 + a*o + r*o**2 + d*o**3 + w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 45\/4*y**2 + 5\/2 + 5\/4*y**4 - 35\/4*y - 25\/4*y**3.\nAnswer: 5*(y - 2)*(y - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 25 - 20. Suppose 0*s - n*g + 115 = 5*s, -41 = -3*s + 4*g. Solve -2*h + s = -3*f, -f - 12 = -4*h + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 199*s**3 + 66*s**3 - 264*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 102\/269?\nAnswer: 102\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 15901 + -16167. Are -24 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/40)\/(-5 - (-27)\/(-6)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-10)*w*w\/(w**(-5)\/w))\/(w**10*w**(4\/7)) assuming w is positive.\nAnswer: w**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/15 - 39\/(-15). Suppose -4*m + 1 = -n. What is the derivative of 3*j - 8*j - 2 + m + j wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3381, 18665, -3, 5, 0, 1 in descending order.\nAnswer: 18665, 5, 1, 0, -3, -3381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -155\/14 + 60\/7. Let t = 1019\/184 + -45\/8. Which is greater: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m**3 + 2*m**3 - 4*m**3)*(-31 + 24 + 16) - 2*m**3 + 4*m**3 - 3*m**3.\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/((-1240)\/31))\/((-1)\/30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1385*j**3 - 331*j**3 + 119*j**2 + 1338*j**3 - 119*j**2.\nAnswer: 2392*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 669, 643, 803, 1233, 2017, 3239, 4983, 7333?\n\"Answer: 14*v**3 + 9*v**2 - 151*v + 797","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vpxvvvxpvvpp. What is prob of sequence vppx?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/7 in 2, -4, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2*j**5 + 32*j**4 - 101200*j**3 + 404396*j**2 - 505330*j + 202100 = 0?\nAnswer: -235, 1, 2, 215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-6)\/(-2) + (-104)\/(-2).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*z**3 - z**3 + 4*z**3)*(15*z + 4*z + 12*z) to w*z**2 + j*z**3 + a + v*z + g*z**4 and give g.\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11518*n**3 + 10705*n**3 + 9062*n**3.\nAnswer: 8249*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76694, 153389, 230082, 306773, 383462, 460149, 536834?\nAnswer: 613517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:04 PM and 5:16 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -90 times 22?\nAnswer: -1980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1416*m**3 - 2*m**2 - 2*m - 18084 wrt m?\nAnswer: -4248*m**2 - 4*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -3*s + 2*f + 37, 5*s = -5*f + 185. Suppose -3*a - 10 = -a, -4*c + s = -5*a. Calculate the common denominator of -49\/22 and (1648\/168)\/(4\/c).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vz when two letters picked without replacement from ciijzvcr?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11 + 20. Suppose l*y = 4*y - 850. Let a = 190 - y. What is a rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w = 5*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1*12\/8)\/((45\/(-40))\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - 4*j - 26 = 0, -d = 2*j - 0 + 6. Let y = -1 - -6. Calculate the remainder when y is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57187520 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 54 + -33. Let o = c - -14. Suppose 5*b + 0 = o. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2878 * -0.914\nAnswer: -0.2630492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b + b + 76. What is the greatest common divisor of 19 and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (9872\/(-12))\/(26\/78). Which is smaller: b or -2466?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f + 3*f + 2*f as v + j*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 287.85 + -282. Let v = g - -0.15. Which is the nearest to 0.1?  (a) -3  (b) 4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 19, 32, 61, 112, 191, 304, 457, 656?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5571 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the third derivative of -q**7\/210 + q**5\/12 + 4*q**2. What is the third derivative of a(s) wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/327 or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31478.\nAnswer: 2, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 168 = 1454*z - 2946*z + 1468*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00053696 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50114094 is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000175748 to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 11*x**2. Let s(f) = -5*f**2 - 4*f + 65. Let c(j) = 9*j**2 + 7*j - 129. Let w(t) = 4*c(t) + 7*s(t). Give w(i(h)).\nAnswer: 121*h**4 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Convert 178a20 (base 12) to base 6.\nAnswer: 12434440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 66484437893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -3084376 less than -9?\nAnswer: 3084367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 + 7 = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 10:02 PM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 15939, 31863, 47769, 63657?\n\"Answer: -9*k**2 + 15951*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a year in months?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 10*u = 15*u - 20, -5*u - 20 = -i. What is the lowest common multiple of 30 and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -5*f - 3. Suppose 3*i - 3*d = 24, i - 5*i = 3*d - 11. Let l(j) = 5*j + i*j - 9*j. Determine l(w(h)).\nAnswer: -5*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.02?  (a) -625  (b) -0.9  (c) -6  (d) 5  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 10. Let m = -9 - -13. Let z = 5 - 5. Solve -m*c - 2*d = 2*d - 8, c - 2*d - b = z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 4:12 PM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3016)\/(-91) - (105\/49 + -2). What is the greatest common divisor of 1441 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 - 1. Let c(y) = 8*y**2 - 3*y + 7. Let d(b) = b**3 + 17*b**2 - 7*b + 14. Let x(z) = -5*c(z) + 2*d(z). What is -6*j(k) + x(k)?\nAnswer: 2*k**3 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, 25, 73, 157, 289, 481?\nAnswer: 745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -4*n**2 + 9*n - 9*n + 5. Suppose 20 = 7*z - 2*z. Let u(a) = z*a**2 - 4*a**2 - 6 + 5*a**2. Determine 6*u(w) + 7*v(w).\nAnswer: 2*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 * 0.54\nAnswer: 0.162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14063 - -3309. What are the prime factors of p?\nAnswer: 2, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 145.1 - -922.9. Let g = l - 1004.1. What is g rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -217*d**2 - 209*d**2 + 116*d**2 as m + n*d**2 + b*d and give n.\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6139\/118356*466\/(-4). Let v = 3\/2818 + f. Find the common denominator of v and 75\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + -9 - (-43 + 11 + -5).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in -4, -4\/3, -10\/1131, -5?\nAnswer: -10\/1131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*a + 5*a - 42. Let q = 2 - 2. Suppose -f - x + 20 = -q*x, -5*f = -4*x - 82. What is the greatest common factor of a and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -51 - -49. Let b(m) = -3*m**3 - 3*m**2 - 4*m - 1. Is b(a) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 59706 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 170 + -424. Let w = n - -252.63. What is w rounded to one decimal place?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6889 - 26921 - 29186 = -1893*v for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -6\/5, 0.5, 70?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5 - 10216?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-1\/3))**(-10\/11) assuming w is positive.\nAnswer: w**(10\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2448163.4 + -4\nAnswer: 2448159.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (27\/18)\/(2\/16). What is the greatest common factor of 84 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of c**3\/6 - 5*c**2\/2 + c. Let n = 270 + -201. Suppose 5*d - 9 + n = 0. Let k(p) = 3*p - 12. What is d*q(b) + 5*k(b)?\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of 1 and -7.7.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(180)*4 + 1)**2*4 + 0.\nAnswer: -384*sqrt(5) + 46084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.4, -0.4, -10, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5\/3)\/(1\/84). Suppose -8*m = -3*m - l. Is (m\/6)\/((-4)\/(-12)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 - 5\/((-30)\/4)*3. Suppose -3*g - j - j + 130 = 0, 5*g - d*j - 206 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -197 - -102. Let n = o - -318. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 14 and 49034069?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 63104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -w**2 + 5*w - 5. Let v be k(4). Let g = 75 - 53. Let j = g + -17. Which is the third smallest value?  (a) -0.5  (b) j  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of -p**7\/42 + p**3\/6 - 5*p**2\/2 + 5*p. Let o(s) be the first derivative of r(s). What is the derivative of o(z) wrt z?\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42\/(-162)*(-441)\/(-3087)?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4523, 9044, 13565, 18086, 22607, 27128?\nAnswer: 31649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 156338050?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wyywywyywwywywywwyyy. What is prob of picking 2 y and 1 w?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 75036493 to the nearest integer?\nAnswer: 8662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -94 + 0*l - 5*l**2 + 31*l - 65*l + 3*l**2 - 11*l as q*l**2 + a*l + i and give i.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -1.687+-0.218238337208\nAnswer: -1.905238337208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-522)\/1914 + 2\/22.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -840*n + 4*f + 398 = -842*n, n + f + 98 = n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0 + 2. Suppose -3*c + 184 = r*q, 5*q = 2*c - 0*c - 148. Does 8 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 3 = -35. List the prime factors of 6\/(0 - -2) + o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2803926 is divided by 3492.\nAnswer: 3342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.5476338 months?\nAnswer: 0.0004563615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 10*y**3 + 524*y**2 + 4528*y - 5988. Give r(-41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*-0.00045412.\nAnswer: -0.000045412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 23112 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/179334 and 83\/1833192?\nAnswer: 16498728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -4, -16, -2, 0.\nAnswer: -16, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22842 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 166 - 141. Let p = 120 - s. Calculate the remainder when p is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -145429652*i**2 + 145429621*i**2 - 20*i**3 - 8*i**3 + 2 - 2 + i**3 + 0*i**3 + 0*i**3 - 2*i**3 + (2*i - 2*i**2 - 2*i)*(-4 + i + 4) - 2*i**3 - 3*i + 3*i.\nAnswer: -33*i**3 - 31*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -4*x**3 + 10154*x**2 + 5*x + 5. Let o(n) = 6*n**3 - 15231*n**2 - 8*n - 8. Determine 8*h(r) + 5*o(r).\nAnswer: -2*r**3 + 5077*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 978981?\nAnswer: 3915924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -20.24, 2\/3, 4\/3, 0.09 in increasing order.\nAnswer: -20.24, -4, 0.09, 2\/3, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.081682 rounded to one dp?\nAnswer: 26.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 91936 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 215118747?\nAnswer: 3, 23, 115469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*u**2 + 18*u**6 + 2*u**6 - 11*u**2 wrt u?\nAnswer: 2400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 164, 228, 254, 242?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -186134898, -186134897, -186134896, -186134895, -186134894?\n\"Answer: o - 186134899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -3054 divided by 9\nAnswer: -1018\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 - -16. What is the nearest to -0.1 in x, -4\/3, 3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -4*x - 2*z - 2*z, 3*x + 5*z = 23. Suppose x*o + 2*n - 403737 = 6*o, -5*n + 242246 = 3*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (13 + -49)\/(5 - 10035\/2005). Calculate the greatest common factor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -571195*k**5 - 254*k**2 - 129*k wrt k.\nAnswer: -34271700*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -30, -2, -8, 40, -1, -3 in descending order.\nAnswer: 40, -1, -2, -3, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*g + 5*g + 5*a + 30, -3*a + 14 = -5*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133*p**3 + 11*p**3 + 121*p**3 + 114*p**3.\nAnswer: 113*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -536*i**4 + 10*i**3 - 172*i**2 + 53359*i + 325?\nAnswer: -6432*i**2 + 60*i - 344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1094 = 99*b - 1678 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -116*d + 107*d + 144 = 0. What is the remainder when 1960 is divided by d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 563093.\nAnswer: 29, 19417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26 + (-4956)\/189)*18\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -553*d**4 + 311*d wrt d.\nAnswer: -6636*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 384134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the second derivative of -q**4\/12 - 2*q**3\/3 + q**2 - q. Let u(l) = -l**3 + l**2 + 2*l + 6. Let b be u(0). Let i be (-2)\/9*b*3. Determine c(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*g + 55 = -s + 3*s, 3*s + 3*g + 956 = 944 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -108*z**3 - z**2 + 9*z - 12. Is g(-3) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h**2 - 48*h + 21. Let q(k) = -2*k**2 - 6*k - 1. Let g be q(2). Is 18 a factor of z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/5*i**2 - 324\/5 + 69\/5*i.\nAnswer: 3*(i - 4)*(i + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 2*c = 5*x + 14, 0 = 5*x + c + 32. Is (124\/x)\/(20\/(-3) - -6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -5 + (8 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 56 + -35. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u - 4*u + 4*u**3)*(-u + 2*u - 2*u) + (-u**2 - 2*u**2 + 4*u**2)*(-67 - 2*u**2 + 25317*u - 25317*u).\nAnswer: -6*u**4 - 67*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/1 + (3 - 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 54 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 27667, 27677, 27689, 27703?\n\"Answer: n**2 + 7*n + 27659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + ((sqrt(128)*3 + sqrt(128))\/sqrt(8) + sqrt(16))\/(sqrt(72)\/(-3*sqrt(9))).\nAnswer: -15*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c + 30 = 30*c. Suppose -5*j = x - 20, 0*x - c*j = 3*x - 8. Solve 2*t + 4*v + 1 - 31 = x, -t - 4*v = -25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 2272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (92607\/15 + 1)\/(169\/(-65) - -3)?\nAnswer: 43, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1438568 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 269 - -1441. Let p be 468\/91 + (-1)\/7. Suppose p*x - k = 6*l - 3*l, -5*l = -3*x + 1042. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 666710*o**2*x + 2*o*x - 6*o + 2*x + 2153 wrt o?\nAnswer: 1333420*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 787 = -13*o, -23*f + 25*f - 4*o - 778 = 0. Solve 95*z + f = 52*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 817*g - 531*g - 285*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0.1, 1, 0.2 in ascending order.\nAnswer: -2, 0.1, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*m**3 + 305*m**4 - m**2 - 7*m**2 - 277*m**4 + m**3 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4714, 4941, 5544, 6709, 8622?\nAnswer: 11469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-6)\/4)\/((-7)\/((40\/10)\/(-12))).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f - 6 = -36. Suppose -5 = 5*p - 4*g, -2*g + 0 = p + 1. Sort 2, f, p, -5 in increasing order.\nAnswer: -5, p, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(117)\/(sqrt(18)\/sqrt(2)) - (sqrt(78)\/sqrt(486))**2).\nAnswer: -sqrt(13) + 13\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001128 to 5 decimal places.\nAnswer: -0.00113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8317082 to the nearest integer?\nAnswer: 2884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 28901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqoohojljj. Give prob of sequence jl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135*r + 132*r = -81. What is the remainder when r is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5026589614 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l + 2. Let v be h(3). Suppose 0 = 5*d + 15, 5*b - 221 = -v*d + 179. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 112043 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14504 + 5*j**3 + 14504.\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 84 and 3759.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24662933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 25491239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 238.5200999 + -238.7501. Let t = r - -0.23. What is t rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_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: Is 30 a factor of 2040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -134.62261482868 - 19.\nAnswer: -153.62261482868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 2*j = 9. What is the least common multiple of j and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**2 + 10300*h - 5304500.\nAnswer: -5*(h - 1030)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 3 + 4. Factor -5*f**4 + f**3 - 2*f - 2*f - 11*f**3 - f - 10*f**2 - f**5 - v.\nAnswer: -(f + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*a**4 - 53*a + 679 wrt a.\nAnswer: 8*a**3 - 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**3 + 2*f**2 - 2*f**2)*(-8 - 12 + 5).\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:55 AM and 7:33 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -687 + 938.625087618.\nAnswer: 251.625087618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 252024 and 4776.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -25*j - 139. What is l(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -4*((-2420)\/(-70) - 6\/(-14)). Let r be (i\/36 + 4)\/(3\/9). What is the nearest to -2\/3 in r, 0.2, 3\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*p - 12, -3*r - 21 + 7 = 5*p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 104, 89, 58, 5, -76, -191, -346?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 PM and 9:26 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2 and 961211.64.\nAnswer: 961209.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.29303 rounded to 1 dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*(-15)\/(-195)*26\/4 - 192\/76.\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68 - (16 - (-54 - -62))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13582 is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-1*sqrt(20)*-2)\/(sqrt(10) - 2*sqrt(1210)))**2.\nAnswer: -4*sqrt(2)\/21 + 449\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-6)\/r)\/(r\/r**(3\/8)))\/((r\/(r**(-3\/8)\/r*r))\/r**(1\/13)) assuming r is positive.\nAnswer: r**(-116\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*i**3 + 37*i**2 - 37*i**2 + (-6 - 1 + 3)*(3*i**3 - 4*i**3 + 3*i**3).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*g**3 - 65*g + 67*g - 3*g**3 wrt g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*w**3 + 21*w**3 + 11*w**3.\nAnswer: 99*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + -14. Suppose -s = r*f - 872, 0*f + 3*f - 1759 = -2*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.00582 * -0.5.\nAnswer: 0.00291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -267 + 2139\/8. Let g = 2 + -5. Let r be (-2 - -1)\/(g\/(-15)). What is the nearest to 0 in a, 2, r?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*f**2 + 24845528*f + 38581266349924.\nAnswer: 4*(f + 3105691)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-1\/2))\/((f*f**5\/f*f)\/f))\/(f*f\/(f**(-1\/3)*f))**(22\/3) assuming f is positive.\nAnswer: f**(-257\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 54 = 5*x, -4*v = -32*x + 31*x - 21. Let d = 4 - x. Let u(s) = 9*s**3 - 15*s - 6. Let z(r) = 4*r**3 - 7*r - 3. What is d*z(y) - 6*u(y)?\nAnswer: -2*y**3 - y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g. Let m(q) = 2*q**2 + 21*q - 21*q. Give m(j(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s + 10*s + 561 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.7, -45, -1\/2 in descending order.\nAnswer: 0.7, -1\/2, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ucrc. Give prob of sequence cu.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -544.6, 4, -0.3, -3 in decreasing order.\nAnswer: 4, 2, -0.3, -3, -544.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -3*z**2 - z - 2. Let o be q(-2). Let w be 9\/o*(-6 - -1 - -3). Which is the fourth smallest value?  (a) 0.5  (b) 2\/9  (c) w  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, 4, 21, 0.4, 17 in decreasing order.\nAnswer: 21, 17, 12, 4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/4)\/(((-30)\/18)\/(-5))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 4*t**3 + t**2 - 6*t + 6. Let s(m) = -3*m**3 - m**2 + 5*m - 5. Calculate 6*s(g) + 5*x(g).\nAnswer: 2*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.225 and -9.\nAnswer: -11.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 22*o - 2857664, 5*j - 1476497 = -3*o + 2095730. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that 4*z**5 + 46812*z**4 + 140412*z**3 + 140404*z**2 + 46800*z = 0.\nAnswer: -11700, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**3 - 35*c**2 + 3*c + 237. What is q(17)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r**3 + 215*r**2 - 71*r - 919. Let w be k(-54). Let v = -2.4 + -0.6. Which is the second smallest value?  (a) 0.4  (b) w  (c) v  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -217 + 211 = -6*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -620.3 - -653. Let x = y - 32.9. Is x <= -43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -778006 - 11.84.\nAnswer: -778017.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3\/5, -1\/9, 31, 0.3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w - 2 + 2*w + 0)*(10*w**4 + 4*w - 4*w) - 2401 + 2401 - 199*w**5.\nAnswer: -189*w**5 - 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 3 - 7 = 0. Suppose -4*b - 3 = 9. Let l be -2 + 14 - (-6)\/b. What is the highest common divisor of u and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -43 - -61. Let k be 4\/(-16) - u\/(-8). Let d = 4 + -1. Solve -d = 5*q - k*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 3, y: 4}. What is prob of sequence pypy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -13\/9, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a - 11*o = 65, -4*a + 119*o - 52 = 242*o - 121*o for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 - 5 + 2)*(3*d - 3*d + 4*d) - 17*d - 15*d + 9*d)*(11*d - 1 + 1) in the form k + g*d + t*d**2 and give t.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 23 (base 8) to base 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(-5)*w\/(w\/((w*w**(2\/33))\/w))*(w*w*w*w**(8\/7)*w)\/(w\/(w\/((w*((w\/(w\/(w\/((w\/(w\/(w*w**(-3\/7))))\/w*w)))*w)\/w)\/w)\/w*w))*w*w*w) assuming w is positive.\nAnswer: w**(-745\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 n when three letters picked without replacement from onuonooounuon.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - 321*c**2 - 3307*c - 982. Give n(331).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 + 9 = q - 3*l, -3*q + 4*l + 110 = 0. Is q a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1632340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 53 - 51. Find the second derivative of 5*b**3 - h*b - 3*b - 5*b**3 + b**3 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2314 (base 5) to base 4.\nAnswer: -11032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -103781900 rounded to the nearest one million?\nAnswer: -104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30047\/8 + -3768. Calculate the common denominator of 0 + (4 - 10\/12) and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**3 - 14*c**2 - 2*c - 22. Let d be r(-14). Suppose 1891 = d*i - 629. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.03 + 1.03. Let o = 79\/3 - 24. Which is the closest to 0?  (a) u  (b) -3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -190369, -190370, -190371, -190372, -190373, -190374?\nAnswer: -190375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 9*5*16\/24. Suppose -3*o - 13 = -4*p, -5*o + 5*p - g = -0*o. Let f(q) = 2*q**2 + 15*q - 26. Does 17 divide f(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from ynynyvvnnnvndnyyvvvy?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -226139, -452284, -678431, -904580, -1130731, -1356884, -1583039?\nAnswer: -1809196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7608?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 + 65 = 5*t. What is the third derivative of 11*r**2 - t*r**6 - 12*r**6 + 19*r**6 wrt r?\nAnswer: -1440*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7039300 + 10060940. Suppose 3*b + g = 8871640. Round b to the nearest one hundred thousand.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - -1)\/((-9)\/(108\/(-8))). Sort o, 2\/5, -3\/7 in ascending order.\nAnswer: -3\/7, 2\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of 5\/24*a**4 + 0 + 0*a - 17\/6*a**3 + 17*a**2. What are the prime factors of b(9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + ((-9)\/(-3) + 0)\/1. Suppose 340 = -g*x + 8*x. List the prime factors of x.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9969 >= 10208?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 - ((-16 - 2) + 19 + -11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1881.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 2\/11, 3, 1\/26, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cxopcxxxtolxp. What is prob of picking 2 p and 2 o?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -39*g**2*t**3 + 796071*g**2*t + 2*t**4 - 715*t**2 wrt t?\nAnswer: -234*g**2*t + 24*t**2 - 1430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 99\/64 and 81\/60892?\nAnswer: 974272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -30 + 113bc12?\nAnswer: 113bbc2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4 + -7)\/(6\/4). Let m = r - -4. What is the derivative of -m*h**4 + 0*h**2 + 0*h**2 + 1 + 0 wrt h?\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7473 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 31114 and 145418?\nAnswer: 48133358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 671585096?\nAnswer: 2, 7, 13, 19, 23, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of d**5\/60 - d**4\/12 + 27*d**2. Solve h(s) = 0 for s.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6146574*c**5 - 2560*c - 1593 wrt c?\nAnswer: 122931480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 95 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - -5)*6\/9. What is the first derivative of 2 - 3 + k**r - 4 + 0 wrt k?\nAnswer: 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide ((-1491)\/(-284))\/((-7)\/(-120))*(-1 + 444)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 24270 = -2*v, 2*v - 2*r + 0*r - 24278 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 6, g: 1, s: 4}. Give prob of picking 4 a.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -17 - 2 - (9 + -49)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 5, 10, 21, 38, 61, 90, 125?\n\"Answer: 3*c**2 - 4*c + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 84 - -121.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that -g**2 - 47931143*g - 47931142 = 0.\nAnswer: -47931142, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 52806?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18549?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*o + 8*o = 0. Solve 4*c - 11*c - 21 = o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3679*z**5 + 36769*z?\nAnswer: -73580*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**2 - 200586*h + 601785.\nAnswer: -3*(h - 3)*(h + 66865)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**4 + 576*v**3 + 39102*v**2 - 341584*v + 657120 = 0.\nAnswer: -148, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000032369798 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = c - 4. Suppose -12 = -3*w - w. Find the third derivative of 7*x**4 + w*x**4 + 21*x**c + 6*x**4 wrt x.\nAnswer: 384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.7 + -5.7. Let d = -19566.9 - -17973. Let a = -1594 - d. What is the second smallest value in p, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) be the second derivative of 2*j**6\/15 + 2*j**5\/5 - 5*j**4 + 8*j**3\/3 + 40*j**2 + 2*j + 290. Factor n(a).\nAnswer: 4*(a - 2)**2*(a + 1)*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 + 54*t - 25*t - 34*t as d + q*t and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 87.9497 rounded to 1 dp?\nAnswer: 87.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**2 + 70*g + 741. What is u(-18)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 + 3*r**2 + 2*r**4)*((2 - 7 + 3)*(3*r + 16 - 16) + 2*r + 2 - 2).\nAnswer: -8*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -845 (base 9) to base 4\nAnswer: -22301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 31787 (base 10) in base 13?\nAnswer: 11612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 2*k**2\/5 + 70226*k - 4213848\/5 = 0.\nAnswer: -175577, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 30352?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4195.\nAnswer: 5, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1580 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 37470*l**3*q**3 - 14*l**3*q - 2*q**3 - 197403*q**2 wrt l?\nAnswer: 112410*l**2*q**3 - 42*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gaeoeeoeioimioiiiio. Give prob of picking 2 e and 1 i.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1011 * 42.6.\nAnswer: -4.30686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12805 + 14*y - 25613 + 12808.\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 40179 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/(-75) + 10\/75?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 286844925?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q*q**0*q)\/q**(-2\/13) assuming q is positive.\nAnswer: q**(41\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 11*z**2 + z + 1. Let v(j) = -16*j + 79. Let u be v(5). Let l(d) = d**3 - d + 1. What is u*p(b) - l(b)?\nAnswer: -b**3 - 11*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xwhxxdd. Give prob of sequence xx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1.3 - -13.7. Let v = 2756.962 + -2772. Let l = v + q. What is l rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/12 - 1 - (-26)\/3. Find the common denominator of -80\/33 and (500\/(-8))\/(4 + -6 + j).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 19525\/4  (b) 1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -13 - (-27 + (33 - 7))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -54*m - 157. Let k be x(-3). Solve -s + k*v = 7, -4*s - 168*v + 173*v - 13 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -44826*c**3 - c - 2106.\nAnswer: -268956*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -k**3 + 970 + 15*k - 756 + 14*k wrt k.\nAnswer: -3*k**2 + 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 1) + 4\/(-2). Let l be (1\/f)\/(3\/(-6)). Which is the nearest to 1?  (a) -0.5  (b) l  (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3499*t**5 - 4*t**3*v**2 - 3*t**2*v**2 + 4*t**2 + v**2 + 22*v wrt t.\nAnswer: 209940*t**2 - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 313 minutes before 12:38 PM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/451275399 and -56\/48933477.\nAnswer: 4061478591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 614 + -562. What is the remainder when 82 is divided by t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 563472 and 140868.\nAnswer: 563472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -185\/119 + 24\/17. Which is the biggest value?  (a) 0.5  (b) w  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 14\/((-5 - -3)*-1). Let v = -5 + n. Let l(z) = z + 4. Let i be l(-1). Solve v*s + i = -5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -134*w**3 + 182961*w - 26930451 with respect to w.\nAnswer: -402*w**2 + 182961","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + u = 3*o - 5, o = 2*u + 4. Let h be 2*(-43)\/2 - o. Let f be ((-2)\/(-10))\/(h\/75). What is the smallest value in 0.3, -4\/9, f?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 16, -2\/3, 0.01346?\nAnswer: 0.01346","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 41*p**3 - p**2 + 2*p + 1. Let q be d(1). Solve 17*a = -9 + q for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 2*d - 1054, 5*v - 2*v - 4*d = -638. Let a = v - -1873\/9. Calculate the common denominator of 43 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2155 - 2156. Which is the closest to -2\/3?  (a) 10  (b) 0.3  (c) -1.6  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 take away 0.110231?\nAnswer: -4.110231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 + 18. Let z = l + -4. Which is smaller: 4 or z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1472016962?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = p + 10, -c = -0*c + 2*p - 1. Differentiate 0*z**3 + 3*z**c + 4*z**4 - 3 - 3*z**3 with respect to z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/7, 12.4, -1\/4, -13, -2\/13, 0.8?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from aggaataatggatt.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -4200 greater than -4200?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 2*b - 68 = 0, -x + b = -0*x - 15. Let u = -20367 + 20519. Calculate the greatest common divisor of x and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -82532\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 13 - 270?\nAnswer: -257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 - 3\/((-15)\/20). Let j = 3 - 7. Let v(l) = 9*l - 1. Let k(i) = 17*i - 3. Let f(r) = j*k(r) + z*v(r). What is the derivative of f(y) wrt y?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -11, 4, -135 in decreasing order.\nAnswer: 4, -1, -11, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 130*q + 4288. Calculate i(-33).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-92 + 92 - 45*c)*(-4 + 7 + c**4 - 6*c**4).\nAnswer: 225*c**5 - 135*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 7933*u + 255. Is v(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21514 and 23188.\nAnswer: 8046236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 17351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 3*s - 5*m, -s + 30 = 4*s + 5*m. Suppose 293 = 2*o + 2*o + 5*n, -4*o = s*n - 302. Let l = 18 + o. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*w**2\/5 + 58992*w\/5 + 236032\/5 = 0. Calculate w.\nAnswer: -4, 14752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1670 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 183097 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = t**2 + 8*t + 11. List the prime factors of s(16).\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -517, -1627, -3417, -5839, -8845?\nAnswer: -12387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*p**3*s**3 - 10*p**3*s**2 + 15*p*s**2*v**2 - 6409*p*s**2 - 541530*s**3*v**2 wrt s.\nAnswer: 42*p**3 - 3249180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7401 divided by 2467.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 29386*a**3 - 29376*a**3 - 2 + 2.\nAnswer: 10*a**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 228867946 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7029, 7021, 7009, 6993, 6973, 6949, 6921?\nAnswer: 6889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 175 = 2*s, 2*w + 0*w - 125 = -3*s. Suppose 0 = 3*o + 2*q - 40, 0 = 2*o + 3*o + q - w. Let c be 4\/o + (-65)\/(-25). Solve 0 = 2*y - c - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 378 + -363. Suppose -4*r + 71 = -3*c - 2, 0 = -3*c + g. What is the highest common divisor of r and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/75*-5 - (2 + -1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 AM and 2:09 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5952.501 + 5670.5229. Let r = g - 0.0219. Let a = r - -281.9883. What is a rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 119 - (-7)\/(3\/(-3)). Suppose -3*q = 115 - x. Which is the nearest to 1\/3?  (a) q  (b) -5  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) 2692  (c) 7  (d) 1\/7  (e) 6\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7560033?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1804 and 639452.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39, -38, -37, -36, -35?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*o**3\/13 + 126*o**2\/13 + 322*o\/13 - 438\/13 = 0.\nAnswer: -3, 1, 73\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -311*i**4 + 5*i**2 - 3*i + 419. Let q(a) = a**4 + a**2 - a. Let s(u) = -5*q(u) + w(u). What is the second derivative of s(c) wrt c?\nAnswer: -3792*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3 - -57. Let q = 75 - u. Solve v - 4*v - q = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -73?  (a) 4  (b) 0  (c) 5  (d) -52  (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**2 + 13*v + 20. Let r be k(16). Let s be (141\/(-2))\/(14\/r). Let m(g) = 124*g + s*g - 243*g. Let f(o) = 2*o**2. What is m(f(p))?\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttpiip. What is prob of picking 2 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 145 and 17?\nAnswer: 2465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -22154414 (base 7) to base 11\nAnswer: -1097107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 c, and 1 p when three letters picked without replacement from kppukppgc?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15*b*i*l**2 + 4*b*i*l + 11*b*l + 6*i*l**3 - 2*i*l**2 + 2*l wrt l?\nAnswer: 30*b*i + 36*i*l - 4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 - (12\/66 - 774\/22). Suppose m - 5*p = 24 + 12, p = 5. Let u = m - d. Calculate the remainder when u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 61*p - 42*p - 2.\nAnswer: -103*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-22)\/(-33) - 4\/(-3). Let a be 0*(-4)\/(8\/j). Let i be 9\/3 + a - 0. Solve 0 = -4*l + 4*s, i*l - 9 + 23 = -4*s for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*o**2 + 18*o**2 + 3*o**2 in the form b*o**2 + n + f*o and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/((12\/3)\/(-8)*-2). Suppose 12 = -5*i - 4*g, a*i + g - 3 = 2*g. Round i to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*m + y - 7, -2971790*m + 2971793*m - 28 = -5*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 298581 is divided by 99195.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 + -4 - (2 - 12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-5) + 187\/85 + -4. Let l = 48\/29 - 2. Is s != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w + 4*w + 8 = 0. Let h be (w\/3)\/(1\/6). Suppose h = -5*z + 58. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14947*w - 207728*w - 167171*w.\nAnswer: -389846*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 49411225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 4*a + 53, h - 5*a = -4*h + 85. Suppose -y + 51 + 0 = -2*w, -4*w + 240 = 4*y. Calculate the remainder when y is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 PM and 12:48 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = -3*k - 314, 0 = 4*k - 0*k + 2*l + 402. Let n = -82 + k. What is the remainder when 117 is divided by (n\/(-48))\/(3\/16)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 PM and 9:27 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 5*w. Let m be (-119)\/(-21) + (-1)\/(-3). What are the prime factors of g(m)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4752 at least as big as -4157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 791*h**4 + 24 - 2529*h**4 + 2*h**2 - h**6 - 3003*h - 213*h - 23 wrt h.\nAnswer: -120*h**3 - 41712*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x + 2*d - 1418, 1829 = 2*x + 4*d + 413. Let u(q) = -q**3 + 18*q**2 + 21*q + 37. Let m be u(19). Suppose -5*l - m + x = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 622813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6768805 + 6769189.0731. Let m = -0.0731 + c. Let t = 405.9 - m. What is t rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 308 + 8 = 0. Let v = 92 - r. Suppose -2*z + g - 301 = -4*z, g = -z + v. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:55 PM and 10:49 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 13118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 9215, 36774, 82737, 147098, 229851, 330990?\n\"Answer: -u**3 + 9208*u**2 - 58*u + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1059292 is divided by 455.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 8*z**3 + 49*z**2 - 115*z - 727. Calculate w(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = u**2 + u + 1. Let r(p) = 5*p**2 + 3*p + 3. Let y(f) = -3*b(f) + r(f). Let o(q) = 6*q**2 + q**2 - q**2. Give o(y(l)).\nAnswer: 24*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2 or -1.2408?\nAnswer: -1.2408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*i - 2*n = -11, -1041*n = -1078*n + 481 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/5 of a millennium in years?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5304 = 408*f - 26832 + 8472 for f.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 165312 divided by -8.\nAnswer: -20664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -297\/17 + 1536\/85. Factor d*a + 2\/5 - 1\/5*a**2 - 3\/5*a**3 - 1\/5*a**4.\nAnswer: -(a - 1)*(a + 1)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from mmwbmwkkmbmkmll.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-176)\/(-77) - 4\/14. Suppose 3*o - p*o = 19. Suppose -3*v + 2*v = -o. Does 19 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -17\/3447 + 1166\/3447. Let n = -1734938\/699165 - 1\/25895. What is the common denominator of r and n?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5\/81 + 461\/405. Let a(b) = 85*b + 4*b**2 - 11*b**2 + b**2 + 23*b. Let t be a(18). Which is greater: o or t?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1381, -2765, -4149, -5533?\n\"Answer: -1384*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14*r**2 - 7*r**3 + 23*r**2 + 21*r**3 - 9*r**2 + 51 to k*r**3 + d*r**2 + c + p*r and give c.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -41 - -47. What is the smallest common multiple of 22\/a - 4\/(-12) and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -103 + 158. Suppose v - 13 = -2*u + 13, c = 5*u + 5*v. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1414 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 35257, 70515, 105773?\n\"Answer: 35258*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from abbbababbab.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 22955759273 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*n - 435*n + 61*n + 407*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -6*q - 20. Let l be (52\/8)\/(-1*(-2)\/(-4)). What is the remainder when 113 is divided by f(l)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 27 + -22. Find the third derivative of -3*w**2 + 35*w**6 + w**2 + 425*w**5 - 425*w**5 - s*w wrt w.\nAnswer: 4200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 296509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 47 + 163. What is the greatest common factor of 21 and a?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1657076 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.16 - 0.84. Which is the closest to 9?  (a) 5  (b) g  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 185*d - 3656. What is y(20)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -32*x. Let k(n) = 14696*n. Calculate k(p(q)).\nAnswer: -470272*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3987*q + 3960*q + 1134. Calculate the greatest common factor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4634.13*457\nAnswer: 2117797.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the second derivative of -l**4\/6 + 26*l. Let d(x) = 2 - 2*x**2 - 2. Give s(d(g)).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -4*o**3 - 956*o**2 - 10104*o - 16416 = 0.\nAnswer: -228, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -42 - -38. Let o(i) = -23*i + 8. Let d(l) = -l. Let v(t) = u*d(t) + o(t). Find the first derivative of v(w) wrt w.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 28 + -27. Which is smaller: m or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the second derivative of g**5\/10 - 7*g**4\/6 + 7*g**3\/6 - 49*g**2\/2 - 2*g + 54. Let w be f(7). Solve -15*l + 18*l - 12 = w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -226 divided by 27.\nAnswer: -226\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 0*a - 2*a)*(2 + 1 - 5)*(-24 + 6*a**2 + 24).\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 850410810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 5*h**2 - 20*h + 32. Let n be g(6). Is 13 a factor of 153\/4 - (-69)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6290 + 10308. Does 98 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o**3 - 150*o**2 - 49*o**2 - 50*o**2 + 249*o**2.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2070893848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*w**2 + 2*w**2 - w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/6 - (-52)\/12. Let l(k) = 0 + 0*k**3 - j*k**3 + k**3 - k + 1. Determine l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*(-112)\/(-1470)*-10?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -380059701.166448997 + 380059701. Let d = c - 138.833365003. Let j = d + 139. What is j rounded to five decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -664, -661, -658?\n\"Answer: 3*c - 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + 2. Suppose 15*l = 15*p + 19*l - 15, 0 = -3*p + 3*l + 3. What is the nearest to p in 2\/7, i, -3\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 20*i - 75. Let z be n(4). Let o(w) = w**3 - 5*w**2 + 6*w + 6. What is o(z)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + -11 - -2 - (1 - 31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -4*s**2 - 68*s + 240 = 0?\nAnswer: -20, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-110)\/(-88)*4\/(-10) - (-901)\/1696\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (46 - 46) + -2 + 8 + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -k**5\/2 - 32*k**4 - 152*k**3 - 269*k**2 - 415*k\/2 - 59.\nAnswer: -(k + 1)**3*(k + 2)*(k + 59)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -839\/8 - -105. Which is the third biggest value?  (a) -0.5  (b) -11  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.13954 + -7772?\nAnswer: -7784.13954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*m + 4*h + 46, 0 = -h + 42 - 39. Solve 7*u + m + 13 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**12*t)**(-2)*t**(-3\/10)\/((t*t**(3\/8)\/t*t*t)\/t) assuming t is positive.\nAnswer: t**(-1187\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and 806.\nAnswer: -3224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -8*r + 84. Solve -4*g - 3*d + 27 = 0, 0*g + 3*g = -d + r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/642162 and 31\/10.\nAnswer: 3210810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -s. Let a(j) = j. Let z(x) = 1 + 1 - 4*x - 2. Let g(c) = -4*a(c) - 2*z(c). Determine g(r(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 7 - -1 - (-11 + 15). Suppose -m*z + w + 211 = 0, -5*z - 2*w + 290 = 2*w. Calculate the remainder when z is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 3*a = -3*o + 690, -2*o + a + 265 = 0. Let d = -131 + o. Solve -5*g + 3 = -5*r - 2, 0 = -d*r + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 657265 and 66465?\nAnswer: 5915385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*t + 3*t**2 - 4*t**3 + 0*t**2 + 2*t + 4*t.\nAnswer: -4*t**3 + 3*t**2 + 12*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.1 + -0.05. Let j = -0.45 + o. Which is the second smallest value?  (a) -5  (b) 0.3  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 476 is divided by 64?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 7:40 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = y**3 + y**2 + 6. Let v be i(0). Let j(c) be the third derivative of 2*c**2 + 1\/27*c**3 + 1\/108*c**4 - 1\/270*c**5 - 1\/540*c**v + 0*c + 0. Factor j(g).\nAnswer: -2*(g - 1)*(g + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 1:24 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 + -1. Solve 0 = -d - 4*k - k - x, 8 = 5*d - 4*k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6.562463g?\nAnswer: 6562463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 + 11)*1 + (-4)\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 227.9433 + 0.0567. Let v = k + -228.001288. What is v rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23422456217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does -5445 = -5445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 148 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -424436 times -0.191?\nAnswer: 81067.276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*b - b + 16. Suppose b*s - 4 = 2*s. Suppose 2*v**5 + 2*v**2 + 4*v**3 + 2 + 2*v**s + 0*v**4 - 6*v**4 - 6*v = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -u - 4*m + 59032, 0 = 28*u - 24*u + 2*m - 236030. List the prime factors of u.\nAnswer: 2, 3, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = 2*x + x - 2*x - 12 + 2 + 2*x. Give c(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2959*-6*(-3 - 10\/(-4)). Suppose -5*g = 2*m - 4*m - y, -g + m + 1773 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*g - 2*g. Suppose -g*s = -3*s. Factor 2\/5*y - 1\/5*y**3 + s + 1\/5*y**2.\nAnswer: -y*(y - 2)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10467 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 538 + -532. Suppose -134 + 21 = -i + h, 5*h = 2*i - 211. Let z = i - 64. Calculate the greatest common divisor of z and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + 0 - (-130 - (1 + 1)). Find the common denominator of 14\/3 and (d\/72)\/(-2 + (-3)\/(-2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -15483 not equal to -15203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -503\/855 - 2\/171. Let h = -0.1 - -5.1. Suppose -191*b - 17*b - 774*b = -23568. Sort h, k, b in ascending order.\nAnswer: k, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -2 - 4. Suppose y + 1 = u*y, -j + y = -1. Let b be ((-32)\/24)\/(3\/((-27)\/j)). Solve -b*m = -m - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*((sqrt(504) + sqrt(504)*-2)*1 + sqrt(504) - sqrt(504)))\/((sqrt(252)\/(sqrt(36)\/sqrt(4)))\/(sqrt(12)\/sqrt(48))).\nAnswer: -15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -793.08 - -793. Let i be 1\/2 + (-6)\/28. Which is the smallest value?  (a) i  (b) k  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -59720 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 105 = -3*v + 53, 0 = 2*m + 4*v - 84. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t = 5*i - 21, -4*t - i + 7 = -6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70*r + 6314*a = 6312*a + 4, 0 = -5*r + 2*a - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 1, y: 1, r: 7, e: 3}. Give prob of picking 1 r and 1 e.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*v**2 + 2*v**3 - 28*v**2 - 106*v**2 - 15*v**2.\nAnswer: 2*v**3 - 124*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**2 + 6*b + 5. Let n be r(-5). Suppose s - 1 + 4 = 4*k, 2*s + k - 12 = n. Suppose 3*j - 2*j = s. Solve -2*g = j*m, 0 = g - 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -1314717*r*w**2 + 5*r + 179*w**2 + 6585840 wrt w?\nAnswer: -2629434*r*w + 358*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50\/(((-6)\/(-28))\/((-6)\/(-8))).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/28*(-92)\/(-10). Let s = r - -4\/5. Suppose 5*b + j + 14 = 0, -5*j - 11 = -2*b + 5. What is the biggest value in b, 2\/7, s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.4 times -0.026\nAnswer: -0.0884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 95886.19mg?\nAnswer: 95.88619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q + 50 = 8*q. Let a(r) = -r**3 + 3*r**2 + 24*r + 28. What is the thousands digit of a(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.16, 2\/3, -5 in decreasing order.\nAnswer: 2\/3, -0.16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 489364949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of 245*z**5 - 2*z**3\/3 - 395*z**2\/2 + 1191. Find the third derivative of r(a) wrt a.\nAnswer: 29400*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-7))**(1\/49)\/(q**(1\/6)\/q)**43 assuming q is positive.\nAnswer: q**(1499\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mctddcttdn. What is prob of picking 1 m and 1 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -253 - -256. Suppose -g*z = 3*r - 5013, -5*z + r - 5*r = -8353. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1032143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.17?  (a) 3  (b) 5  (c) -0.5  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -6*g**3*w - 15*g**2 - 38830*g*w**3 + w**3 - 59*w**2 + 5*w + 145756 wrt g.\nAnswer: -18*g**2*w - 30*g - 38830*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -239 and 1.291664.\nAnswer: -308.707696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -74036 and -16.8?\nAnswer: 74019.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 20202020 (base 3) to base 12\nAnswer: 2a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 599 divide 128785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-27)\/99*(-1859)\/1014)\/((-3)\/(-570))?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (3*-3)\/((-1)\/(-4)). Let s be (-5)\/(10\/i) + -2. What is the common denominator of 1\/2 and ((-122)\/s)\/((-18)\/(-8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-260)\/(-14))\/(301\/49 + -6). Let q = m + -92. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 103, 240, 401, 580, 771, 968?\n\"Answer: -v**3 + 18*v**2 + 90*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -233 - -282. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16511453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 AM and 5:03 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 2*h**3 - 28*h**2 + 26*h. Let n be z(1). Solve n*m + 5*m - 5 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8714461.73 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 2\/9, -2\/71, 16, -18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 186 + -1117\/6. Let t = -3.3 + 3. Which is the closest to 0.2?  (a) t  (b) p  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/4 + 1190\/28. Suppose -5*o - a + 6 = -5*i, 4*o + 12 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 s, and 1 o when three letters picked without replacement from jnjnjjzjnjsjjojsn?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*a - 6*w = -w + 20, 37*a - w - 4*w = a + 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4183.\nAnswer: 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -11679965.1 to the nearest ten thousand.\nAnswer: -11680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -37 in -172, -4, 10, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:49 AM and 8:28 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (485 - 112 + 160)*(17*d**3 - 6*d**3 - d**3).\nAnswer: 5330*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1695546 divided by 3694.\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 19\/(-2) + (-5)\/(-10). Let j be -2 + (-4)\/(-6)*(k + 6). Let c(p) = p**2 + 4*p. Give c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*v**4 + 4*v + 2 - 2*v + 3*v**4 + 3*v**3 - v**4 to the form z*v**3 + k*v**2 + o*v**4 + g*v + s and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -20*y**2 + 3 - 4*y**4 + 20*y**2 + y**3 in the form v*y + z*y**4 + j + p*y**2 + q*y**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (((-2979)\/(-6))\/(-3))\/((-2)\/4). Suppose -3*i + d = 4*u, -2*i + 214 = -2*u - 2*u. What are the prime factors of i?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5833589 tonnes in micrograms?\nAnswer: 583358900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 14\/35 - (-18)\/5. Solve f*j + 5 - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2035 - 20351\/10. Let t = -2005 - -100247\/50. Which is smaller: c or t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 556 and -898.94801.\nAnswer: -342.94801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0505385 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**3 - 2*b**3 + b**3 + (0 + 1 - 3)*(0*b**2 - 2*b**3 + 0*b**2) + (15*b**3 + 13*b**3 - 15*b**3)*(11 + 6 - 4).\nAnswer: 172*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14 + ((-5)\/(-2))\/(57\/(-114)))*80\/(-160).\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -6*n**2. Let c(h) = 14*h. Calculate c(g(y)).\nAnswer: -84*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 0.057?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (22 + 14)\/6 + (-4 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 15435115 + -1?\nAnswer: 15435114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*w = 56 - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2745617.\nAnswer: 7, 137, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3255587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 64831 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-80*d + 4 - 17*d - 4)*(-3*d**2 + d**2 - d**2).\nAnswer: 291*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 - 35. Let z = -19.61 - q. Let j = 0.01 + z. Which is the biggest value?  (a) j  (b) -3  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from mlnlp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 392*d + 5425. What is b(-14)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + c = -27, 0 = 3*p + 4*c - 21 - 9. Let r = -67 + 391. Let d(q) = -2 - 322*q + r*q - 5 - 1. Determine d(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32398 and 5238?\nAnswer: 874746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -7.03. Let m = 1.27 - f. Let j = 0.94 - 1.34. Which is smaller: j or m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 9, x: 5}. Give prob of sequence kxxx.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 751, 759, 781, 823, 891, 991?\nAnswer: 1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of 0*s**2 + 0*s**3 - 1\/12*s**4 - 2 + 3*s. Let c(u) be the first derivative of j(u). Let q(z) = 2*z. Determine q(c(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2121020212000 (base 3) to base 13\nAnswer: -395538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0626 + -22687999.308.\nAnswer: -22687999.3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the third derivative of -547*p**4\/24 - 7*p**3\/2 + p**2. Let a be v(-9). Let i = a - 49087\/10. Find the common denominator of -47\/20 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3 - 5) + 8)\/((-1)\/1). Sort -1, -2, -4, n.\nAnswer: -4, -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -57*y**4 + y**3 + 3*y**2 + 4281*y?\nAnswer: -684*y**2 + 6*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2.96 + 3. Let m = 0.6586 - 0.7586. What is the closest to m in 0.3, t, 0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-18 - (-17 - 17)) + -31 - -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of -5\/2*p**2 + 0*p - 8 + 15\/4*p**4 + 0*p**3. What is the second derivative of i(t) wrt t?\nAnswer: 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -123*p - 2390 = -1775 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 982385 = 53*p + 10842. Let w = -7890 + p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5, 19, 45, 73, 103?\n\"Answer: p**2 + 21*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -3*j - 12. Suppose -5*r - 3*b = 36, r + 3*b = 5*b - 15. What are the prime factors of s(r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 + 18 + 4 + 16 - 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 - -25. Suppose -w*n + 95 = 2*l, 0*l = 2*l - 2*n - 70. Calculate the remainder when 198 is divided by l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (k - 3 + 3)*(-1 + 1 - k) + (k + 6*k - 2*k)*(4*k + 0*k - 3*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/3006 and -74\/1503?\nAnswer: 3006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 45 + -44.96. Let s = 430 - 429. Let x = 0.2 + -0.2. Put y, x, s in decreasing order.\nAnswer: s, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p**4\/5 - 96*p**3\/5 - 36*p**2 = 0. Calculate p.\nAnswer: -30, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 2195\/1756 - ((-11)\/(-44) - (-4)\/(-6)*-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5\/3 in -5, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 3 + 7, g + s = 2. Suppose 0 = -t - 3*t + 92. Suppose 9*p = t + 31. What is the lowest common multiple of p and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/4*(-12 - -12). Suppose l = -61*v + 62*v - 2. Which is the nearest to 0?  (a) -5  (b) v  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4*(-2)\/140)\/((-78)\/390). What is the third biggest value in -6948, z, 0?\nAnswer: -6948","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6)\/4)\/((-12)\/(-16)). Let s(h) be the first derivative of -13*h**2 - 2*h - 11. Is 25 a factor of s(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -12*s - 31. Let w be g(-3). Sort w, 13, -2.\nAnswer: -2, w, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -10*r. Let m(x) = 11*x. Give -5*m(l) - 6*u(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007746381 to 4 dps.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 5, z: 3, e: 3, p: 1, x: 8}. Give prob of picking 3 f.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*(342 - (1 - -6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1313343 + 103302?\nAnswer: -1210041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 22 - 18. Suppose d = t, 0 = 3*i - 2*d - 3 - 7. Let z(y) be the first derivative of y**2\/2 - 4*y - 1. Let p(b) = -b + 5. Determine i*z(l) + 5*p(l).\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 5111, 5109, 5107?\n\"Answer: -2*l + 5113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 39  (b) -4  (c) -260  (d) -1\/9  (e) -5  (f) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 12) to base 9\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*z - 1558 = 7*z. Calculate the remainder when z is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 - -37. Let l = -20.903 + p. Round l to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c = -u + 110, -u + 2*c + 733 = 659 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -109\/150 and 41\/25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58 is divided by 35.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2011323 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r = 4*f - 2*r + 37, 4*r = -2*f - 26. Let m be 0 - 3*(-2)\/2. Which is the nearest to f?  (a) m  (b) -1\/5  (c) 5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 3*((sqrt(112) - (3 + 3 + sqrt(112))) + -5).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11, -1.63, 3, 2\/7, -2\/23.\nAnswer: -1.63, -2\/23, 2\/11, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 6*d - 4. Suppose o + 12 = -o. Let u be l(o). What is the least common multiple of 12 and (u\/(-7))\/(8\/28)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 239.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 164325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/18*(-1)\/((-2)\/6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69979.\nAnswer: 7, 13, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 29\/6 of a century?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(280)\/sqrt(5) + sqrt(56)))\/((sqrt(2744) - sqrt(56))\/sqrt(7)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 2\/3, -0.27, -67, -1.\nAnswer: -67, -1, -0.27, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 44 - 37. Calculate the greatest common divisor of 7 and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 148509, 296583, 444657?\n\"Answer: 148074*m + 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x + 63. Give n(-28).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 - -10. Let o be (-44)\/10 + (-2)\/r. Let y be -8*(-2 + (-6)\/o). Solve m = 3*s - 11, -s = y*s + 5*m + 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26352*f - 911386*f - 462307*f.\nAnswer: -1400045*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -37, -62, -103, -160, -233, -322, -427?\nAnswer: -548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 198 a factor of 3305412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 60 and 162816?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 + 55*n - 32 - 182*n + 48*n + 41*n + 46*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -5. Let r = 1.3 + 2.7. Which is the closest to h?  (a) -0.2  (b) -1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t - 14. Let n be i(8). Suppose n*b - 3803178 = 1996822. What is b rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 134*7\/(-5)*61\/((-915)\/300). What is the highest common divisor of 56 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 53 is divided by -3*(-5)\/15*15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 + 736\/(-12))*-3. Suppose -o = -7*s + 29. Is 13 a factor of (-4)\/s + (-3910)\/(-75)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(9) + sqrt(81))*4)\/(sqrt(6)\/sqrt(2)*-5).\nAnswer: -16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.003539493414 rounded to 5 decimal places?\nAnswer: 0.00354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 241*y - 424131659 - 85*y + 424131659.\nAnswer: 156*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + (-6 - -18) - 3) + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10 - -41) + (-6 - 2) + 6.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*k**2 + 17*k**2 + 19*k**2 + 12*k**3.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 6c65 + 5?\nAnswer: 6c6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 5*d - 6 - 6*d - 5*d + 0*d. Is x(-6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 838107737.\nAnswer: 479, 1749703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-45) - (-137550014)\/105. Suppose 3*h + 2*h = -z. Round h to the nearest ten thousand.\nAnswer: -260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(-2)*(-539)\/(-22). Let z be 2\/7 + (-35)\/t. What are the prime factors of (z - 12\/3) + 42?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -127 = -c + 3*d, -5*d - 60 = -4*c + 455. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 77 a factor of 5467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -3928 take away -4?\nAnswer: -3924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 14*l - 2. Determine r(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 224 and 50944.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/6 + 6 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 257 is divided by 16\/6*10\/(80\/156)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 205 = -3*t + b, -130 = t + t - 4*b. Let j = t + 40. Let r = -5 - j. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 336 - -130. What is the remainder when u is divided by 167?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 7\/2 of a microsecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/9594 and -81\/82.\nAnswer: 9594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 953585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5962580 divided by -2\nAnswer: -2981290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 399238 is divided by 44059?\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 4, -246, -3\/4, 10, 1\/2, -0.4?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 132*u + 151*u - 25*u + 173*u + 2. Let r(a) = 6*a. Calculate r(k(n)).\nAnswer: 2586*n + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 220 + -220.3. What is the biggest value in 3, k, -2\/19, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 595840 is divided by 532?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dddmddmdddddmd. Give prob of sequence mmd.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 + 3)\/2 - (-21)\/462. Let d(w) be the second derivative of r*w**4 + 0*w**2 + 0 - 10*w + 2\/33*w**3. Factor d(u).\nAnswer: 2*u*(3*u + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12211 (base 3) to base 11\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 86153946 to the power of 1\/2, to the nearest integer?\nAnswer: 9282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1671  (b) -3\/8  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 836 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -327 and -0.06.\nAnswer: -327.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2475.175 - 2508. Let b = -0.172 - 32.828. Let r = b - p. What is r rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131689.\nAnswer: 19, 29, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -1521 (base 6) to base 14\nAnswer: -213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 z when three letters picked without replacement from {z: 7, o: 9}?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 2*v = -16. Let a be ((8\/(-6))\/((-4)\/60))\/1. Calculate the greatest common divisor of a and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000613176 rounded to six dps?\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s*s**1\/s*s)\/(s*s*s*((s*s**(4\/3)*s)\/s)\/s*s*s)*s**(-1\/2)\/s**15 assuming s is positive.\nAnswer: s**(-113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 - 3*j - 3. Let z be x(-3). Let v = -73.1 - -68.1. Which is the closest to 1\/4?  (a) v  (b) z  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s\/((s\/s**23)\/s)*s)\/s)\/(s**(-12)\/s*s)*(s\/s**(-10\/11))\/s**(1\/3) assuming s is positive.\nAnswer: s**(1273\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**3 - 684780*x**2 + 684779*x = 0. What is x?\nAnswer: 0, 1, 684779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/22 and ((-210)\/64)\/5 + -2.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2*(-63)\/70)\/((-3)\/10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.388608 times -0.6?\nAnswer: -5.6331648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**3)\/s*s**(-1\/4))\/(s*s\/s**1*s)**(-1\/58) assuming s is positive.\nAnswer: s**(323\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -12. Let c = 5 - -2. Solve -r*l - c = 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 + 4 = -u. Let z be -2*(-3)\/u*(0 - 45). Suppose -4 + 22*o + 92*o**4 + 7*o**2 + z*o**2 - 208*o**3 + 4*o**4 = 0. Calculate o.\nAnswer: -1\/3, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(104)*5)\/(-2*sqrt(72)).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*a + 18*a = -4444. List the prime factors of a.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 6*u + 231, 152 + 79 = -c + 2*u. Let r be (154\/c)\/(1*(-1)\/6). Suppose -3*p + 0*p = -12. Solve r = -8*o + p*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1.41, 2\/5, 0.07, -1, -3\/25, 1\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10208348, -10208343, -10208336, -10208327, -10208316, -10208303?\nAnswer: -10208288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -25*261799\nAnswer: -6544975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 5*u - 2 = 3*u, -4*u = 2*t + 8. Suppose -5*w = m + 11, t*w + 3 = 3*w - 5*m. Let q be w*(-3 + 4)*2\/(-4). Put 4, q, 6, -3 in decreasing order.\nAnswer: 6, 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -300*n**3 + 13416380*n**2 - 10733056*n\/3 + 238512.\nAnswer: -4*(n - 44721)*(15*n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 9895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 1. Let b(r) = 4*r**2 + 4. Determine -b(k) + 4*f(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 655 and 3274\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 367164 and 2256.\nAnswer: 1468656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71449 is divided by 22707?\nAnswer: 3328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -555056, -1110100, -1665142, -2220182, -2775220?\nAnswer: -3330256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u**2 - 15*u. Let m = -622 + 607. Determine h(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at most as big as 0.252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(336)\/(sqrt(1575)\/sqrt(9))*3 + -4.\nAnswer: -12*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3713671571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 divided by -2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 4 - 4)*(3 + 2*x**2 - 3)*(-2*x - 65 + 65)*(3*x - 6*x - 3*x) in the form n + p*x**4 + m*x**2 + s*x**3 + u*x and give p.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -36 + 36.2. Sort 0.7, -5, 3, c in decreasing order.\nAnswer: 3, 0.7, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15914 is divided by 370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {g: 4, e: 1, z: 1, a: 1, w: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 56*k**2 - 17*k - 11*k**2 - 45 + 0*k - 28*k + 297*k**3. Let a(y) = 27*y**3 + 4*y**2 - 4*y - 4. Determine 45*a(g) - 4*s(g).\nAnswer: 27*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + (4 + -4 - -3). Which is the closest to 0?  (a) r  (b) 4  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of s**7\/140 - s**4\/24 - 3*s**3\/2 - 3*s**2 - 3. Let f(w) be the first derivative of a(w). Calculate f(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 20100?\nAnswer: 20104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 78801 + 804500459.\nAnswer: 804579260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 719 in -183\/5, -2\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 5800 and 8840650?\nAnswer: 1450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 2*y = 9. Let p be (-1)\/3 - (-8)\/y. Is 2 a factor of (-2)\/(-3) - 10\/p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 56*c**3 - 2*c + 1. Let m be v(1). What is the highest common factor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 124.708257 to 2 decimal places.\nAnswer: 124.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 2984585.42 and -0.0655?\nAnswer: 2984585.4855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 12:36 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3, -19, -61, -141, -271, -463, -729, -1081?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v**4 - 110*v**3 + 885*v**2 - 3080*v + 3920 = 0. What is v?\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 - 1)*(2*u - 3*u + 3*u)*(344*u + 1794 - 1794).\nAnswer: -2064*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p**2 + p + 60. What is the tens digit of v(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*v + 56 = 83*v + 10*k - 82, 122 + 48 = -v + 12*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 229 - 226. Let u be (-6)\/(3\/(-4) - -4 - x). Put 1, 0, u in decreasing order.\nAnswer: 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-3\/7)\/r**(1\/2)*((r\/(r**(1\/4)*r*r*r))\/r)\/(r**(-6)\/r) assuming r is positive.\nAnswer: r**(79\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1825 + 1825 + 89*p + (0 + 2 - 1)*(p - p - 2*p).\nAnswer: 87*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(156) - -6*sqrt(156))*2)\/(sqrt(12) + sqrt(12)*-5*-2) + -3).\nAnswer: -6 + 28*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 39240852 and 7714.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 13171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4261, 4282, 4389, 4630, 5053, 5706, 6637?\nAnswer: 7894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n**2 + 5*n + 2. Let r be p(5). Calculate the highest common divisor of 2 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkmkkkkmkkkkkmkkk. What is prob of picking 1 k and 3 m?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 - (-27 + -1 - -19).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -2*y**2 + 3*y + 11. Let k be d(6). Let j = 173\/4 + k. Which is the third biggest value?  (a) j  (b) -1\/6  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 + (-280)\/45 - (20 + (-182)\/9). Let c = 0.44 - 0.04. Let k = c - 0.3. What is the nearest to y in -0.3, -2\/15, k?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 16*k**2 + 2*k - 1. Let o be d(1). Suppose g + 3 - o = -2*w, -5*g - w + 34 = 0. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1265\/124944 + -2\/7809. Let l = b - -1277\/1520. Let f = 697\/290 - 32\/29. What is the common denominator of f and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.17, 0, -3, 3\/2, 84 in decreasing order.\nAnswer: 84, 3\/2, 0, -0.17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 304 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 3*d**3 + 3*d**3 - 8*d**3 + 1 + d. Let t be a(-1). Suppose r - 7 = -3*x, -2*r = t*r - 4*x - 28. Let i(l) = l - 2. Calculate i(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = 4*h**2 + 4*h**2 - 3*h**2. Let w = -1 + 2. Let d(q) = -q. Let n(y) = 6*y. Let j(u) = w*n(u) + 4*d(u). Calculate j(a(o)).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(342)*-1)\/sqrt(9))\/(-4*sqrt(18)))**2.\nAnswer: 19\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6545005889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.3  (b) 4  (c) -2.6  (d) 2  (e) 3  (f) -8\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -128911, 22, 0.2, -4\/9 in descending order.\nAnswer: 22, 0.2, -4\/9, -128911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 182690832 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 2*n - 8. Let f be m(6). Let a(y) = -5*y - f*y + 4 - 3*y. Does 10 divide a(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 162 and 9?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -2, -1\/3, 141, -3\/8 in descending order.\nAnswer: 141, 7, -1\/3, -3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((sqrt(17) - (sqrt(17) - (1*sqrt(187))\/sqrt(11)))**2 - (-5*(sqrt(17) + -1 + sqrt(17)))**2).\nAnswer: -1708 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1004 divided by 83473?\nAnswer: -1004\/83473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 24*k - 876. Let b be g(33). Which is smaller: b or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/2)\/(13*((-648)\/(-27))\/7176).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4417, 4409, 4389, 4351, 4289, 4197?\n\"Answer: -n**3 - n + 4419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*j + 3*j. Suppose 81 = 5*p - 9. Let v = p - j. Solve -2*b + 28 = 5*k - 0*b, -2*k = v*b - 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of -1\/15*s**4 + 1\/150*s**6 - 1\/50*s**5 + 5*s**2 + 1\/525*s**7 + 4\/15*s**3 + 0 + 0*s. Find w such that r(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -55\/4551 or -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26596*l + 15729*l - 9360*l + 4525*l.\nAnswer: 37490*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 5*s - 302, s + v = 6*s - 312. Calculate the remainder when s is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 5, 7, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -10\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -15*-131.118\nAnswer: 1966.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1.8, 1, 0.117, -41\/8, -1\/8?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -121562402, -121562413, -121562438, -121562483, -121562554, -121562657?\n\"Answer: -m**3 - m**2 - m - 121562399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 1637, 4227, 6803, 9359, 11889, 14387, 16847?\n\"Answer: -w**3 - w**2 + 2600*w - 961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/(-30) - (-2)\/(-6). Let y = 17\/20753 - 20957\/249036. Let m = 0 - -0.1. What is the second biggest value in u, m, y, 2\/7?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 21834?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -5. Suppose l*i + 12 = 5*i. Let o be (-6)\/(2 - 14\/i). Solve -o = -c + 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1884 is divided by 62.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b + 10 = 0, -5*b = w - 7*b - 7. Suppose 0 = -2*h + w*g + 380, 10*g = -3*h + 7*g + 600. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -37, 0.2, 45, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 58 + -46. Suppose -w - 4 = -4*m. What is the second derivative of 3*l**3 + m*l**3 + 9*l**3 - 22*l wrt l?\nAnswer: 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5038931431 to the power of 1\/3, to the nearest integer?\nAnswer: 1714","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 92552*u**3 + 63491*u wrt u.\nAnswer: 555312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000699 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 260\/27 - 3755\/432. What is the common denominator of n and 65\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 375547 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 36*f**2 - 3*f + 2. Let l = -10 + 11. Let u(w) = -2*w**2 + 22*w + 10. Calculate the remainder when j(l) is divided by u(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (7 - 3) - (1 - -5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wmm when three letters picked without replacement from mwmmmhh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-616)\/44*(-3)\/(-1). Calculate the remainder when 10 is divided by 58\/7 - (0 - 12\/o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuyuuuyuuu. Give prob of sequence uyuy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 313 + 18. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 + -32 + (-8 - -29) + -14?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 6:36 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 9:24 PM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p\/(p\/(p*p**(8\/9)*p)))\/p)\/p)\/p**(3\/5))**9*(p**(-3\/4)\/p)\/p*p\/(p\/(p**(-2\/9)\/p))*p*p**4\/(p*p*p**6*p*p) assuming p is positive.\nAnswer: p**(-1147\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2*q + 2 + (-4 - 1 + 6)*(-4*q + 3*q - q) + 4*q - 2*q - 3*q - 153*q + 6*q - 60*q + 2*q + 0 + 0 + 4*q + 0*q - q + (0 + 0 + 2)*(-q + 0*q + 2*q).\nAnswer: -201*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, b: 3, c: 1, q: 4, r: 1}. Give prob of picking 1 o and 1 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 92*k**2 - 2*k - 5. Is r(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(162) + 2*sqrt(162)*-1 + 1 + sqrt(162) + 1 - ((sqrt(162) - (sqrt(162) + 1 + 2*sqrt(162))) + (2 + sqrt(162))*4)**2) + -1.\nAnswer: -696 - 252*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 145031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -790745, -790606, -790467, -790328, -790189, -790050?\nAnswer: -789911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -74 - -75. Solve -u + 3 - s = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -159 - -184. Suppose -2*l = 3*l - w. Solve l*c + q = -15, -3*q + 10 = -5*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12516708.\nAnswer: 2, 3, 733, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - b - 237 = 0, -144*f + 151 = -141*f - 5*b. Solve -84*t + f*t - 222 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 35.32 and -86009.\nAnswer: -3037837.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 149 - 15*i**2 + 15*i**2 + 10*i**3 + 9*i**3 - 21*i**3 - 70.\nAnswer: -2*i**3 + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -520750 minus -7373831?\nAnswer: 6853081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, 2\/71, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 16*g**2 - 26*g - 76. Give p(14).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*p - 21*g - 349, 0 = 4*p + 48*g - 44*g + 60 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.7 * 453.6124\nAnswer: -317.52868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 126.71826 months to decades.\nAnswer: 1.0559855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 4*t + 172. Let x = t + 100. Solve 2*j - x = -12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - 71)\/13 + ((-903)\/(-86) - 1\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 117, -2, 5 in increasing order.\nAnswer: -2, 4, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**4 + 3*d**4 - d**4)*((-1 + 4 + 0)*(6 - 1 - 7) + 495 - 130 + 65).\nAnswer: 424*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 14) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.22068022 rounded to 3 dps?\nAnswer: 19.221","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**3 + 14*z**2 - 30*z + 35. Let x be s(-16). Suppose 0 = 3*u + x*m - 4095, 0 = 2*m - 3*m - 1. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + 27*k - 26. Give i(-6).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 2*y - 7. Determine a(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 3*y = 8, n + 36 = 6*n - 4*y. What is the least common multiple of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1967077 to the nearest 100000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -c**3 + 9*c**2 + 10*c + 14. Let l = 1 - -9. Calculate the lowest common multiple of z(l) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 - -10. Suppose 6*x - 26 = 3*x - f, t = 2*x + 2*f. What is the highest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25\/3*z**4 + 130*z**3 - 1500*z + 540 + 965\/3*z**2 = 0. What is z?\nAnswer: -9, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 32*t + 1120 = 0. Calculate the highest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -24 + 30. Let o = -31 - -31. Is 10 a factor of (-1 - -101)*(o + 3\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.912?  (a) 4\/7  (b) 0.4  (c) -2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + 6*n**2 - 5. Let q be k(-6). Let s = 3 - 2.5. Let w = s + -0.5. Which is the nearest to w?  (a) q  (b) 6  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39437\/3051 + -6 + -14 + 7.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 2*o**2 + 139*o - 1058. Give a(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 10:54 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 63 and 69?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 22*x - 7. Let i(m) = 5*m + 6. Let a be i(-1). Let c be p(a). Let s(j) = 18*j - 19. Is s(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (10*(-8)\/280)\/((-20)\/(-4410)*9). Suppose -2*c = 4*j, 2 = -2*c + 2*j + 8. Let i(r) = -2*r - 2 - 2*r**2 - r**3 - 5*r**c - 6. Give i(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 2*q + 2*q)*((0 + 1 - 3)*(-2 + 1 + 4) + 0 + 5 - 1 - 4 + 2 + 0) + 2 + 3*q - 3 - 5*q.\nAnswer: -10*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/((o*o*(((o*o**(-1\/4))\/o)\/o)\/o)\/o))**(-44)*o\/(o\/o**3*o)*o**3\/o)\/((o**(-2\/7))**(-3))**(-2\/3) assuming o is positive.\nAnswer: o**(-661\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275)\/(-1*sqrt(22)\/sqrt(2))*1)\/(((sqrt(750) + sqrt(30))*-4)\/(sqrt(6) + (sqrt(72) - (sqrt(72) - (sqrt(72) - -1*sqrt(72))) - sqrt(72))\/sqrt(12))).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25937528 is divided by 4212?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -124 + 120. What is the closest to -2 in x, 4, 0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (31 - (53 + 0)) + 18 + -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*t + t - t)*(-3 + 0 + 1) + 31687*t - 24496*t + 13380*t to the form v*t + o and give v.\nAnswer: 20567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 462854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*1\/(-1)*-1. Suppose 3*c = 5 - 2. Let w be -2 - c\/(t\/(-4)). Solve 4*z - 3*z = w for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5955e - -bd?\nAnswer: 5962c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3931571.\nAnswer: 7, 457, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 745951577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7, x: 6, a: 1, v: 3}. Give prob of picking 1 g, 1 v, and 1 a.\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {w: 10, h: 6, e: 1}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -a**4\/5 + 233*a**3\/5 - 4829*a**2\/5 - 233*a\/5 + 966 = 0.\nAnswer: -1, 1, 23, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqppcmqqpmp. Give prob of sequence cm.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 1293101 = -3*w + 1293136, 0 = 3*d + 6*w for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-4 + sqrt(153)*2 - sqrt(153))**2 + 1 + 3).\nAnswer: -1038 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 400  (b) 1\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -10, -4, 17, -38 in decreasing order.\nAnswer: 17, 5, -4, -10, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vq when two letters picked without replacement from {p: 3, a: 7, u: 2, v: 1, q: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2517*w. Let z(q) = 14806*q. What is a(z(k))?\nAnswer: 37266702*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -12*c + 13*c + 16*c + (1 - 3 + 0)*(-4*c + 4*c + 2*c) + 3*c - 35 - c - 66 - 19 - 66.\nAnswer: 15*c - 186","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20 (base 3) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 543 - 1071 = 47*i - 575 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and 38767.\nAnswer: -15506.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(3\/((-48)\/(-4))*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 3 + 1 - 119*f**2 - 3*f - 142*f**2 + 103*f**2. Let g(b) = -631*b**2 - 13*b + 17. Let x(m) = 2*g(m) - 9*j(m). Is x(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 35*l**2 + 25*l + 5. Let v = -69 - -65. Let p(w) = 9*w**2 + 6*w + 1. Let q(g) = v*u(g) + 15*p(g). Factor q(f).\nAnswer: -5*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 12\/6583 or -2\/19?\nAnswer: 12\/6583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from mscjkslcjjss.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -203 * 5.\nAnswer: -1015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 9*v**2. Let s(u) = -15*u**2. Calculate b(s(x)).\nAnswer: 2025*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h + 612 = 2*z, 2*z - 730 = h - 108. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20815337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 194166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3340 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 57 - 52. Suppose y*z = 2*n - 28, -4*z = -z. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16783192211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -792 at least 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -6\/635, -5\/4, -0.0173?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1067881, 1067893, 1067905, 1067917?\nAnswer: 1067929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + 4 - (2 - 1)) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -79\/6 greater than -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 123 = -19*d - 67. Find the common denominator of (d\/20)\/((-21)\/(-54)) and (32\/30)\/((-4)\/(-18)).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 7 - 39d?\nAnswer: -396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 8503682\/9 > 944854?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let x be -7 - -2942*30\/20. Suppose 764 = -22*c - x. Which is smaller: -234 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*t + 20 = -2*x - 21*t - 104, -5*x - 4*t + 61 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38 + -6. Suppose 5*p = -4*d + 2*d + g, 3*p + 6 = 3*d. Is 6 a factor of (d\/8)\/((-6)\/(-120))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5292?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qzqzezqe. Give prob of picking 1 e and 1 q.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = y**3 + 68*y**2 + 269*y - 672. Calculate u(-64).\nAnswer: -1504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-45*m**2 + 31*m**2 - 54*m**2)*(2*m - 2 - 2*m - 2*m**3).\nAnswer: 136*m**5 + 136*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2461.712 grams to nanograms.\nAnswer: 2461712000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1957152434 to the power of 1\/4, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the third derivative of g**6\/120 + g**5\/60 + g**4\/24 - g**3\/6 + 326*g**2. Let z(p) = -13*p**3 - 26*p**2 - 26*p + 26. Calculate -26*h(s) - z(s).\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the third derivative of -5*z**8\/336 - 17*z**7\/21 - 349*z**6\/24 - 85*z**5 - 375*z**4\/2 + 85*z**2 - 7*z. What is x in j(x) = 0?\nAnswer: -15, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 117311?\nAnswer: 73, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 21*g**5 - 140933*g**3 + 4519868*g**2 + 2*g.\nAnswer: 1260*g**2 - 845598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -29 + 1 + -1 + (71 - 65)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 3*v + 6 = 15, 0 = -g - 2*v + 7. Suppose i + 11 = -g*y - 4, 2*i = 0. Which is the third smallest value?  (a) 0  (b) -2\/11  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.552239t in micrograms?\nAnswer: 6552239000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26806 is divided by 174.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 1.1. Suppose 171*x - 172*x - 5 = 0. Is x less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, 1, -18, -71, -170, -327, -554?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4373 - 4363. Let h(x) = -2*x + 13. What is h(l)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -431, 3, -4\/7, 0.05.\nAnswer: -431, -4\/7, 0.05, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*k + 4*s - 14, 0 = -2*k - 5*s + 21. Suppose 5*q - k*m - 33 = 40, -5*q = -m - 81. Let g = q + 123. What is the greatest common divisor of 56 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 27?  (a) -2\/13  (b) 1.6  (c) 120  (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, j: 4, r: 3}. Give prob of picking 2 a.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 756, 5.1, 67 in descending order.\nAnswer: 756, 67, 5.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**4 - v**4 - 3*v**4 + (-13*v**3 - 2*v**3 - 7*v**3)*(12 - 12 + 13*v).\nAnswer: -288*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -569630 greater than or equal to -569645?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1011202230 (base 4) to base 8.\nAnswer: 1054254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the first derivative of 2*z**6\/9 - 221*z**5\/3 + 6371*z**4 - 2116*z**3 + 735. Factor c(r).\nAnswer: r**2*(r - 138)**2*(4*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 24921419?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*d**3 + 11*d**3 - d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**2 + 60*u + 463. Determine p(-11).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 + 92*k**2.\nAnswer: -4*k**2*(k - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in -6.74, 0.1, -2\/667, 1?\nAnswer: -2\/667","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16.0367 + -0.06366.\nAnswer: -16.10036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17913 is divided by 1491.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u + 10. Let l be a(-8). Let s = -115 - -107. Let o be -3 + 4\/s*2. Sort -5, o, l in increasing order.\nAnswer: -5, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 16009 - 1771?\nAnswer: 14238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 251550 and 2600?\nAnswer: 1006200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of 90741*r**4\/2 - r**3\/3 - r**2\/2 - 2*r - 3. Let c be l(3). Round c to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3172 is divided by 316?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (((-76636)\/69)\/119)\/(1\/(-3))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -19 (base 16) to base 8\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53640, 107305, 160970, 214635, 268300, 321965?\nAnswer: 375630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of -f**4\/2 + f**2 + 9. Factor c(k).\nAnswer: -2*k*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -213 (base 9) to base 2.\nAnswer: -10101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 868.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 93601, 748996, 2528051, 5992636, 11704621, 20225876?\nAnswer: 32118271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 54 and 1458.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-36)\/(-20) - 2)*(39 + -38).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/17  (b) 0.5  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2597 + -96113\/37. Let a = -2\/111 + h. Let z(o) = -o - 3. Let m be z(-4). Is m equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5920230943?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 66363 (base 7) to base 8.\nAnswer: 40420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**2 - 4*i + 1. Let x(k) = 2*k**2 + 3*k - 1. Suppose 2*v - 3*b = -1, 0 = -5*v + 2*v + 4*b. Let h = -8 + 4. Let s = 1 - h. What is s*x(u) + v*y(u)?\nAnswer: 2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of 13*s**3\/3 - 3*s**2 - 27*s. Let v(w) = -5 + 9*w + 4 - 4 + 3. What is -6*g(o) + 17*v(o)?\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of -i**4\/12 + 5*i**2\/2 + 8*i. Suppose -2*u - 5*b + 18 = 0, 13 = -u - 0*u + 3*b. Let d be 0\/2 + u + 1. Give z(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -257*u + 21210. Is 30 a factor of l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -322, -1174, -2614, -4648, -7282, -10522?\nAnswer: -14374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 233*o + 572 = 3*k + 333, 4*o - 5 = o - 4*k for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1324 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -9.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*k**3 + 8892388*k**2 - 63474138*k wrt k.\nAnswer: 12*k + 17784776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**3 + 508*s**2 + 17266*s + 106640.\nAnswer: 2*(s + 8)*(s + 31)*(s + 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 5*z - z. Let k(i) = 8*i - 2. Let x(v) = 1. Let y(d) = k(d) + 3*x(d). Is y(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 246638 is divided by 123310?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 + d**2 + 12. Let h be t(0). Suppose -k + 2*k = h. Let z = -7 + k. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.531 - -0.431. Let x be (9 - 17 - -51) + -2 + 1. Which is the nearest to 0?  (a) z  (b) x  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 - (1 - -4 - -5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/13, -1\/5, -3, -2, 0.04 in ascending order.\nAnswer: -3, -2, -1\/5, 0.04, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 40*j**2 + j**3 - 18*j**2 + j + 3 - 18*j**2. Let x be d(-3). Find the second derivative of -x*k - 4 - 6*k**4 + 4 + 3*k wrt k.\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) be the first derivative of 1 + 1\/2*d**4 + 0*d**2 + 5\/3*d**3 + 0*d. What is the third derivative of j(h) wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -22\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 4060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 145460437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 8:09 PM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 2*a - 46, 5*a + 65 = -5*q + 270. Let j = 51 - q. Does 5 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 538 divide 11200084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3577792?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 0*b**2 - 2*b**2 + 3*b**2 + 2*b + 0 - 8. Let u = 51 - 30. What is the remainder when q(-8) is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 + 19*h + 13*h + 8*h - 5*h + 26*h to a*h + k and give a.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 4:08 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 774.3 + -774. Let v = 2.02 - 0.02. Let r = -4 - -3.7. What is the nearest to k in r, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3721\/11190 + 3\/3730. Which is bigger: -22 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 + 18*j**2 - j - 10. Suppose 0*v = -v - 5 - 13. Determine n(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 232, 463, 694?\nAnswer: 925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3851932*i**4 - 13835*i - 872.\nAnswer: -46223184*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 equal to 26\/8200207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/((m*m\/(m\/(m*m**(-2\/5)*m*m))*m)\/m))*m**4\/m)**(5\/6) assuming m is positive.\nAnswer: m**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16, 53, 90, 127, 164?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 166 + -55. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252) + ((-1*sqrt(14))\/sqrt(2))**2.\nAnswer: 7 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1486133397 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 4*t + 19 = 0, -4*b - 4*t + 7*t = -19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 - -9. Let z(q) = 2*q**2 - 19*q**2 - 6*q**h - 20. Let x(j) = 8*j**2 + 7. Let d(v) = -17*x(v) - 6*z(v). What is the first derivative of d(y) wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5.08 + 0.08. Let u = 176 - 172. What is the biggest value in u, -8, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*l + 659 = 72*l - 232 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 121533 + -4?\nAnswer: 121525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 208010 and 208010?\nAnswer: 208010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-1 - (8 + -4) - (-5 - -6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 55 (base 12) to base 2\nAnswer: 1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 112010340 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -2*r**3 + 2*r**2 + 3*r + 2. Let l be h(-1). Suppose -3*b - 9 = 0, -3*y = -7*y - l*b + 247. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1836 divided by 918?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by 2934.\nAnswer: -11\/2934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -3*z + 11, -4*z + 2*z + 14 = 4*y. Let u be 7 + (-4)\/30 + 366\/45. Solve i - u = -5*d + 13, -z*d = -15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -121868*z**2 + 377894 wrt z.\nAnswer: -243736*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 26018 (base 9) to base 15\nAnswer: 52c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) 0.0501  (b) -1\/2  (c) 11  (d) -17  (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 10664100 to the nearest one hundred thousand.\nAnswer: 10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 294926*x**3 + 445351*x**2 wrt x.\nAnswer: 1769556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6635 - 6635.3. What is the second smallest value in 1\/10, y, -16, 1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -5*k**2 + 4*k + 1. Let y(z) = z**2 + z. Let x(g) = -a(g) - 4*y(g). Let u(v) be the first derivative of x(v). Is 8 a factor of u(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34 (base 6) to base 8\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 619696256 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - 219 + 75 = -2*x, -8 = -4*x. Let c be (-2)\/8 + 161\/v. Is c\/(-9)*(-804)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 - 39*v + 4. Give k(39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y\/y**12*y)))\/(y\/(y**15\/y)))**14 assuming y is positive.\nAnswer: y**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*r + 114 = 84 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 189, 186, 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10367443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -183726, 3, 13, -0.2?\nAnswer: -183726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + -1)\/(5\/(-10)). Let d be (1 - -11)*a\/(-6). Suppose -4*h + d*v + 36 = 0, v = 1 - 0. Solve -3*f + h - 1 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 0, -3, 1 in ascending order.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 1004428 to the nearest 1000.\nAnswer: 1004000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 13) to base 11.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3605883 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 5568591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -528*r + 1054*r - 528*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u - 98. Calculate a(-30).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 5*k + 16 = 0, -2*a - k + 10 = -6*a. Calculate the remainder when 25 is divided by 3 - a\/(-3)*-11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 21 + 3. Suppose 22 - d = 4*g. Solve 1\/4*m**g + 3\/4*m**3 + 3\/4*m**2 + 0 + 1\/4*m = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 153331 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -4, 1\/3, 0, 15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-195))\/(((-620)\/10)\/(-310)).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*u + 3*u - 97*u**3 + 107*u**3.\nAnswer: 10*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 266 + -271. Let l(o) = o + 10. Let a be l(g). Solve -3*u + a = -4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 671908.8 from -0.01.\nAnswer: -671908.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.34 + -0.3. Let v = g + -4.04. Let h = -0.227 - -0.727. Which is the closest to -1?  (a) -2  (b) h  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10006204 or -10006154?\nAnswer: -10006204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k + 0*k + k + (1 - 1 + 2*k)*(7 + 7 - 3) - 3*k + 5*k + 2*k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*k - 18. Let p = k - -16. Solve -3*g = -b - 4*b + p, 5*b - g - 8 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2.2615864255814 from 0.\nAnswer: -2.2615864255814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(15\/(90\/(-12))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s = 4*x + 25 + 31, 5*x - 12 = -4*s. Suppose -l - s = -17. What is the highest common factor of l and 477?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1215 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 5\/4*14\/(-35). Suppose -g + 6 = -3*g. What is the third smallest value in 5, g, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42894774*z**2 - 42894774*z**2 - 582*z**3.\nAnswer: -582*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 18166 and 11134?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/184926 and -47\/155771?\nAnswer: 34581162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 903321391 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -70, -74, -78, -82?\n\"Answer: -4*i - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*4*(sqrt(288) - 1*sqrt(288)*5))\/(sqrt(384)*1*1 - (sqrt(384) - ((sqrt(384) + -2*sqrt(384))*-5 + sqrt(384)))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -16. Let s = w + -9.5. Let b = s - -47.5. Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 792422, 1584824, 2377260, 3169748, 3962306?\nAnswer: 4754952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v - 12. Let d be z(17). Let n be 3\/15 + 9\/d. Suppose 4*a + 3*u = 4 + 21, n*u = 2*a - 16. What is a rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 105 - 59 = 0. Let k(g) = 5*g**2 - 1. Let d be k(-1). Is 5 a factor of (-2)\/8 + o\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of -o**5\/5 - 12*o**4 - 29*o - 59. Differentiate c(z) with respect to z.\nAnswer: -4*z**3 - 144*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 526849*m**4*x + m**2*x**2 - 94*x**2 + 2444 wrt m?\nAnswer: 2107396*m**3*x + 2*m*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 131*r + 5*r = 2676806 + 825602. List the prime factors of r.\nAnswer: 7, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111.2104 milliseconds to seconds.\nAnswer: 0.1112104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 720026.1 nanograms?\nAnswer: 720.0261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 8.07 - 5\nAnswer: 3.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 337512 is divided by 398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 < -125\/154748?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of -n**3\/6 + 9*n**2\/2 + 6*n. Let x be a(-5). Suppose -x*s = -18*s + 20. Sort s, -4, 3 in descending order.\nAnswer: s, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 - -1838)\/(-3)*2\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 185510252*d + 107*d**2 - 185510252*d - 112*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c87e - -5ad?\nAnswer: ce3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 46763638447\/22470 - 14568108\/7. Let b = k - -26\/107. What is the common denominator of b and 107\/14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -5*x**2 + 179*x + 96. Determine z(42).\nAnswer: -1206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5 - 2 + 0)*(y**3 + 0*y**3 - 2*y**3)*(-6 - 4 - 8 + (28 + 23 - 33)*(-4 + 4 - 3)) to r*y + u*y**2 + s*y**3 + x and give s.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -98*d + 16. Let c(n) = -59*n + 9. Let t(z) = -6*b(z) + 10*c(z). Let s = 6 + -10. Let i(a) = a + 1. Give s*i(m) - t(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10378*v**2 + 1524*v**3 - 10378*v**2 - 3439 + 1389*v**3 wrt v.\nAnswer: 8739*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*d**2 + 3 - 3.\nAnswer: 43*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 85 and 29355.\nAnswer: 499035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b = -0*b - 102. Find the common denominator of -16 + 16 + b\/(-12) and -7\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 3*z = 51. Suppose -z = -l - 2*l. Let v be (-170)\/(-5)*(-18)\/(-4). Calculate the greatest common factor of l and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 - v)*(-187 - 171 + 86) + v - 4*v + 4*v as c*v + k and give c.\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 b when three letters picked without replacement from bbbbbbbbbbllbbbbbb.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.864264149 minus -7?\nAnswer: 44.864264149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 4*c - 7. Let r(b) = b**3 - 3*b + 2. Let l be r(c). Solve -m = m - 5*k - l, k = 4*m - 22 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 477.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-36)\/(-54))\/((-2)\/(-12)). Suppose -5 - 27 = -g*c. Solve 4*u - c*u = -20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -16\/77295?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -5 + -113?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 25672325017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3.7 and 4454?\nAnswer: 4457.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 59969, 59942, 59915, 59888, 59861, 59834?\n\"Answer: -27*n + 59996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -15*k**2 + 93*k - 74. Let v be t(6). Let a(h) = 18*h**2 - h - 1. Let r be a(2). Let o = r + v. Solve -4*f = 5*g - 17, -5*g - 5*f = -o - 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1255 a factor of 167581405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3413 or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 8*j**2 + 16*j + 2. What is the units digit of x(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -3490*f**2 + 3*f - 30. Let n be r(10). What is n rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*v**2 - 70*v + 70*v.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 32777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-5) - (-4)\/(-8)*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70499 is divided by 1216.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -0*y + 3*y. Let n be -2 + (y - 2) + 1. List the prime factors of (1 - -6) + (-1 - n).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 166290.72 months to centuries.\nAnswer: 138.5756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (489*o**4 - 10*o**4 + 204*o**4)*(1 + 2 - 1) to t*o**2 + s + a*o**3 + f*o + r*o**4 and give r.\nAnswer: 1366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1106109857.\nAnswer: 37, 2969, 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - 7\/(21\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-5*-1*sqrt(91))\/((sqrt(42) - sqrt(504)\/sqrt(108))\/sqrt(6)).\nAnswer: 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q**3 + 15*q**2 - 24*q + 12 = 0 for q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 2 = 2*d, g + 3*d = -2*g - 15. Let z be (-1)\/1*g + 5. Suppose -y + 6*y + 4*t - 12 = 0, -3*t = -5*y - 9. Solve y = -2*h + z*h + 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2705*k**2 + 2 - 3 - 3253*k**2 + 739*k**2 + 1 + (-4 + 0 + 5)*(3*k**2 - 4*k**2 - 2*k**2) - k - 2*k**2 + k.\nAnswer: -5224*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 562810?\nAnswer: 2, 5, 23, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 40409869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*v + 20*v - 1417536 = 0. List the prime factors of v.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 - 3 - (-12 + 1). Let q = n - 4. Suppose -4*t = -q*r + 8, -2*r + 4*r + 3*t - 9 = 0. What is the highest common divisor of r and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.398678 weeks in minutes?\nAnswer: 94738.67424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*k + 12. Sort -1, k, -2 in descending order.\nAnswer: k, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 9, p: 4, r: 3}. Give prob of sequence rf.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 29922 and 190.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 7258361927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16\/(-48))\/1*8*27*5\/12?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((36\/15)\/(-2))\/(48\/160)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from {j: 2, x: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4 - 3*i - 4)*(4*i - 4*i - i) + 5*i**2 + 0*i**2 + 0*i**2)*(3 - 13 - 2) in the form c*i + f*i**2 + v and give f.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 228 and 6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57 + 108 - 48 + 6*s**3.\nAnswer: 6*s**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 - 5*q**2 + 3*q + 9. Let s be h(-7). What is the second derivative of 86*c**2 + 2*c + c**5 - s*c**2 wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -3*d + 34. Let w(r) = -r**3 - 4*r**2 + r + 6. Let a be w(-4). Let k be a\/3 + (-117)\/(-27). What is the remainder when p(k) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sad when three letters picked without replacement from idisiaiimyiisiadsd?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2834, 5683, 8532, 11381?\n\"Answer: 2849*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 AM and 9:46 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 7*y + 73. Let r be m(-6). Solve -26*i = -r*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23*-2\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*t = 330*t - 10680 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 12 + 82. Do 94 and m have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 - 5*w**2 + 2*w. Let r be -8 + 3 - 1\/1. Calculate the remainder when b(r) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 - 9*w - 3. Let s be f(-8). Solve -2*j = s*i - 6*j + 21, 0 = 4*j - 16 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 91398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = 5*p + 5*t, -8*p - 40 = -48*p - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -16*q**4*z**3 - 49*q**4*z**2 - 64*q**2*z**2 + 5*q*z**3 wrt q?\nAnswer: -384*q*z**3 - 1176*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/((j\/j**(-28))\/j)*j\/((j**6*j)\/j)*j*j)**(-3) assuming j is positive.\nAnswer: j**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 4 - (-44)\/(4 + 7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00135 to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3685.5 and -5.\nAnswer: 3680.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4333 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003589876 to five dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c10ba - -6?\nAnswer: -c10b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2426 by -20554.\nAnswer: -1213\/10277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 - 15*g**2 - 13*g + 18. Let j be y(-14). Suppose j*a = 5*p - 4083, -2*a = 5*p + 3*a - 4065. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 + 69*l + 213. Let w be k(-3). Sort w, -1, 4, -5.\nAnswer: -5, -1, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1705162883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 3 - 3 - 18*t + 4 - 5. Let q(y) = y**3 - 8*y**2 + 6*y + 4. Let m be q(7). What is the remainder when a(m) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 1)*(12*j**3 - 19*j + 19*j).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 2*x**2 - 52*x + 30. What is the tens digit of a(27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of -2*d**6\/15 + 8*d. Factor v(l).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/(u*u**26))\/u**(-6\/13)*u**36*u*u*u\/(u\/u**(-15)*u*u)*u)**32 assuming u is positive.\nAnswer: u**(-1056\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 159*l + 4675 = 5152 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25, -0.5, 3, 4, 21, 2\/15 in ascending order.\nAnswer: -0.5, 2\/15, 3, 4, 21, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/8*-2*((-3750)\/(-45))\/(-25)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 40956, 40966, 40986, 41022, 41080, 41166, 41286?\nAnswer: 41446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -251, -540, -1017, -1682, -2535?\nAnswer: -3576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**4 - 452136*a**3 - 22724646984*a**2 - 381424148452512*a - 26588494632072240.\nAnswer: -3*(a + 70)*(a + 50214)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*x**2 + 15*x**2 + 2*x**2 + 7*x**2.\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -335040831 minus 2?\nAnswer: -335040833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2 - 138\/150) + (-10)\/125. Put 744, 3, y in ascending order.\nAnswer: y, 3, 744","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*z + 2*z = -120. What is the smallest common multiple of z and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + -6*(sqrt(56)\/(sqrt(128)*-1) + -5).\nAnswer: 3*sqrt(7)\/2 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9\/2?  (a) 5  (b) 0.3  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does -3277\/173 = -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 2*y - 394 = 0, -5*i + 197 + 290 = -3*y. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -829*m = -752*m - 50866 - 16817. Solve -60 = m*p - 859*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-32)\/(-24) + (140\/(-6))\/1. Let t be 0 - (d\/12)\/(-11). What is the nearest to 2\/5 in 0.19, t, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.61542167 - -0.5831633. Let t = 0.03228 + u. Round t to six dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1583 + 0.16. What is c rounded to four dps?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 5*p**2 + 2*p + 2. What is the remainder when 69 is divided by y(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f**3 - 17*f**2 - 37*f - 20. Let b = 156 + -137. Let z be s(b). Sort z, 6, -3 in decreasing order.\nAnswer: 6, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from eezzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 352883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 44800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 22299758927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 6*h - 8. Let d be o(6). Let x = d + -16. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -445 + 891\/2. Which is the third biggest value?  (a) 6  (b) s  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**5\/3 - 3280*v**4\/3 + 83632*v**3\/3 + 477316*v**2\/3 + 230202*v + 100068 = 0 for v.\nAnswer: -3, -1, 31, 1614","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x**3 + 132 - 477 + 211 + 134.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 14*o**2 - 2*o + 1. What is the units digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of f**3\/12 - 35*f**2\/8 + 75*f + 1334. Suppose r(m) = 0. What is m?\nAnswer: 15, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.85 + -4.15. Which is the closest to -1\/2?  (a) s  (b) -0.1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -7. Suppose 435 = 5*m - 5*u, -b*m + 167 = -2*m + 5*u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mhvv when four letters picked without replacement from {g: 1, v: 3, q: 3, m: 1, h: 1, k: 2}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4254846329 to the nearest integer?\nAnswer: 65229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86.112 decades to millennia.\nAnswer: 0.86112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.429999237 - 1.43. Round b to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4541, -36340, -122697, -290888, -568189?\nAnswer: -981876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4c4a9 - 0?\nAnswer: 4c4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 15433 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 9, a: 5}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4\/115, 1.9, 324?\nAnswer: 4\/115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-9) + (-140)\/63. What is the common denominator of ((-23)\/(-11) + z)*-13 and (-130)\/(-15)*(-6)\/(-7)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 216.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = k, -107*k = -105*k + l - 1. Which is the closest to -8?  (a) k  (b) 4  (c) -4  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 220313130 + -21201?\nAnswer: 220231323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1215352, -2430699, -3646044, -4861387, -6076728, -7292067?\nAnswer: -8507404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9117989 - -32.\nAnswer: 9118021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9942*u*y - 2*u - 4418 wrt y?\nAnswer: 9942*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2854900?\nAnswer: 2, 5, 28549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + j**4 + j**3 + j**2 + 8 + 5 - 10 to the form i*j**3 + v*j**2 + w*j**4 + p + f*j and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -24050452521 + -4?\nAnswer: -24050452525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 9*p**3 + 6*p**2 - 36*p - 12. What is the smallest common multiple of 66 and t(6)?\nAnswer: 21252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 3*z**2 + 3*z - 2. Let q be m(-4). Suppose -2*k - 5*d = -33, 0 = 4*k + q*d - 11 - 15. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -32644, -261095, -881172, -2088685, -4079444, -7049259?\n\"Answer: -32635*f**3 - 3*f**2 + 3*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10745*t**2 + 2*t - 713 + 713 - 2*t - 8088*t**2.\nAnswer: 2657*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 - 9*u - 14. List the prime factors of s(15).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-1 + -1*sqrt(7) + sqrt(7) - sqrt(77)\/(sqrt(11)*2))**2.\nAnswer: -11\/4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3.5 or 51?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2684794, -5369598, -8054402, -10739206?\nAnswer: -13424010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 65469626.\nAnswer: 2, 613, 53401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: What is 36695942 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15 in -0.00008, 8, 4\/7, 2\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 118*r. Let d(v) = -28226*v. What is d(f(q))?\nAnswer: -3330668*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1641, 1642, 1643, 1644, 1645?\nAnswer: 1646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**3 - 4*z**2 - z - 3. Let m be v(-4). Suppose -w = -m - 3. Suppose -23 = c + w*j, 3*c - 2*j - 2 = -1. Is c at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*w = 4*w + 7788. Let m = w + -328. Is 19 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, k: 3, i: 1, p: 1, c: 7, h: 3}. Give prob of sequence cp.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rar when three letters picked without replacement from {a: 15, r: 4}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 10:42 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 40 divide (-5148130)\/(-780) - 2\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*q + 4*i + 7 = -i, -4*i = 20 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 8*f**2 + 5*f + 3. Let o(g) = -4*g**2 - 2*g - 1. Suppose 10 = -0*n - 5*n. Let d(l) = n*t(l) - 5*o(l). Calculate d(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**(-2\/11)*x))\/x**(-2\/17)*((x**2\/x)\/x)**(-46\/7) assuming x is positive.\nAnswer: x**(56\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 207815411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 - 25*u**2 + 16*u + 1796. What is g(-22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*i + i + 2*i + 0*i + 4*i - 2*i + i + 0*i + i + (-3*i + 5*i - 3*i)*(0 + 3 - 2) + 9 + 6*i - 9 - 4*i + 4*i - i.\nAnswer: 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 12, w + 20 = 6*m - m. Suppose 6*i + 7*i - 235157 = w. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the second derivative of -13*s**3\/6 + 16*s**2 - 28*s. What is the tens digit of c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-7)\/((-140)\/12).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*p**3 + 2*p**3 + p**3)*(2*p - 5*p - 2 + 1) as r + u*p**3 + d*p**4 + g*p + o*p**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 428 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -902*a - 487. Is d(-57) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1\/16989 + -173704\/2427. Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes after 10:46 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4132*p*r - 5431*p + r - 4163099 wrt p?\nAnswer: -4132*r - 5431","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*i + 1144 - 229. Suppose 319 = 5*z + 2*m, 3*z - 2*m = -6*m + i. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -335800935*l**2 + 671601779*l**2 - 335800956*l**2 - 2*l**3.\nAnswer: -2*l**3 - 112*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 75.64 + -0.64. Let b = q - 75.066. Let j = 0.336 + b. Round j to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2*d**3 - 143870*d**2 - 2587106294*d + 7762613766 = 0.\nAnswer: -35969, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/20 of a meter?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -10*q**2 + 2330*q + 14292. Calculate s(239).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 3*n - 5*z, -115*n + 120*n + 7*z - 35 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 + -8. What are the prime factors of 1337\/63 - g\/(-18)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 41*1\/4*2\/(-15)*(-9040)\/(-904)?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (82\/(-6))\/(-174 + 173) - 13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 v, and 1 u when three letters picked without replacement from {i: 9, u: 3, v: 2, l: 2}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-36)\/10)\/(6\/(-20)). Let b(k) = k - 6. Let z(i) = 6*i - 37. Let q(x) = 34*b(x) - 6*z(x). Let v be q(8). Solve -h = -v*n - n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4 = -z + y, 0 = 2*y - 4. Suppose -5*v + a + 74 = -101, z = 4*v + a - 140. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of c**4\/6 + 15*c**3\/2 - 145*c**2\/2 + 3959*c. What is a(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*g = 101 - 11 + 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 5829573 and 1882425?\nAnswer: 2769047175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 420 minutes before 5:41 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.593 rounded to 1 dp?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 20333 - 20285. Solve 2*m + d*f = 52*f - 4, -5*m + f - 1 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 - 5*c + 9. Suppose -4*l = -0*l + 4, -5*l - 14 = a. Let w = 2 + a. Let x be r(w). Put x, -0.4, 0.5 in decreasing order.\nAnswer: 0.5, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 times -1788\nAnswer: 5364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - 3 - (-10 - -5). Suppose 3*s - 2*s = k. Suppose -321 = -4*d - 5*m, -3*d - s*m + 135 = -105. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/13  (b) -2  (c) 4  (d) 15\/4  (e) -6\/5  (f) -1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -40 (base 9) to base 16.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 4) in base 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -886*j**3 - 134*j**3 - 841*j**3.\nAnswer: -1861*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16372*r + 16376*r = -9 - 3, -5*r + 40 = -5*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from orrorwrorwrwoorrrow.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 383.98 + -380. Let n = v - -0.02. What is the biggest value in 2, -2\/7, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/(0 + (-2)\/(-4) - -1). Suppose 3*h = -x*r + 596, -4*r - 193 = -h + r. What is the remainder when h is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -20\/12605787 and -97\/2801286.\nAnswer: 25211574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 25478051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**3 - 6*k**2 + k - 3. Let u be o(-6). Suppose g - 7 = -1. Is (g\/u)\/(4\/(-318)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1300455\/975)\/117)\/(3\/20)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -81538897 * 0.3\nAnswer: -24461669.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wffv when four letters picked without replacement from {f: 14, t: 1, v: 1, g: 3, w: 1}.\nAnswer: 91\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) be the first derivative of 1881*c**4\/4 + 1309*c**3\/3 + 1043. What is the third derivative of o(t) wrt t?\nAnswer: 11286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -2*o**2 - 53*o + 31. Let w be g(-27). Solve -4*h - z = -w, 5*h - z + 0*z - 5 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5617 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w**2\/3 - 1424*w - 1708\/3 = 0. What is w?\nAnswer: -854, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvvvaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 18 and 60399.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = f. Let t be (-5)\/(-1)*4\/(-5). Let r(l) = 3*l. Let m be ((-15)\/(-30))\/(1\/2). Give m*r(j) + t*p(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*c - c + 5*c + (0*c - 3*c + 2*c)*(1 - 2 + 3) + 4 - 4 - c + (-19 - 2 + 2)*(4 + 7 - 3)*(-4*c - 4*c + 9*c) in the form n + f*c and give f.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + 8*i + 14. Let h be n(-2). Let x be (-68)\/(-4) - (0 + (-6)\/h). What is the highest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -111010021 (base 3) in base 9?\nAnswer: -14107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 17 + 75. Suppose -d = p - 5*p. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + n**2 + 13*n - 34. What is the tens digit of k(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 12, -n - n + 4*a - 4 = 0. Let h = 14 + n. Solve -h = r + r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of 2*a**3\/3 - a**2 - 2*a. Let m(n) = 1 - 5*n - 2*n + 2 + 0. Calculate 3*m(j) + 5*x(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -q**5\/20 + q**4\/2 - 2*q**3\/3 - 3*q**2\/2 - 4*q. Determine x(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -23*y - 32*y + 57*y. Sort y, -2, -4, -81 in ascending order.\nAnswer: -81, -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 132 - -194?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 269*g = 177*g - 552. Which is the nearest to 1?  (a) -18  (b) -0.4  (c) g  (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**2)**(2\/113)*p**(-7\/2)*p**(-3)*(p\/(p\/((p**(2\/3)*p)\/p)*p*p*p))**24*(p*p**(-2\/5))**47 assuming p is positive.\nAnswer: p**(-38719\/1130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16119213 is divided by 203?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -103895, -415488, -934775, -1661756, -2596431, -3738800?\n\"Answer: -103847*q**2 - 52*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1183612867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 7*h**2 + h + 8. Let d be 1 - 1 - 40\/(-10). Suppose -k + 5*v + 2 = -6, d*k + v = -31. Calculate the least common multiple of 4 and o(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13082454 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -0*f + 5*f. Solve -2*g = -m + 16 - 5, -4*g + 5*m - 37 = f for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5680331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 1162*s - 1163*s - 42 = 0, -2*s = -2*c - 24 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/23, 220, 2, -0.3, 0.5, -1 in increasing order.\nAnswer: -1, -0.3, 2\/23, 0.5, 2, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -128020, -633, -3 in increasing order.\nAnswer: -128020, -633, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -71?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:23 PM and 6:44 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of r**7\/105 + r**6\/60 - r**5\/30 - r**4\/12 - 13*r**2. Factor j(i).\nAnswer: 2*i*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 AM and 12:20 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25 + 39 - 3*f**3 - 2*f**4 + 5*f - 16 + f**3 to g + o*f + l*f**2 + k*f**3 + v*f**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-2)*r)**(8\/5) assuming r is positive.\nAnswer: r**(32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -2 - (-9 - -13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -29.5 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -28*k + 28*k - 11*k**2 + 3*k**2 - 1 to a*k**2 + h*k + o and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5 + 2. Let n(j) = j**3 - j**2 - j + 14. Let b be n(0). Find the second derivative of 15*f**5 - b*f**4 - 7*f**5 + 14*f**4 - i*f wrt f.\nAnswer: 160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 94*f + 6. Let i(c) = -86*c - 5. Give 3*i(d) + 2*j(d).\nAnswer: -70*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6232)\/11193 - (-6)\/63?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -5 - -8 - 0\/(-2). Let l be 75\/(-9)*(d + 0). Let y = l + 47. Is y a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 895216619 rounded to the nearest 1000000?\nAnswer: 895000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 1605, 3202, 4787, 6360?\n\"Answer: -6*a**2 + 1615*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-623)\/64080*40*(-6)\/14.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 120 divide 23431760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-8624)\/744128)\/(21\/24)\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -28*f**2 + 7*f**6 - 40 + 24 + 16 wrt f.\nAnswer: 840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = -1, -5*t - s - s = -13. Suppose -3*x - 3 = 6, 0 = y - x - 4. Let w be (1 + -2)\/(y\/(-6)). Solve -l + t*l = w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/(sqrt(36)\/(sqrt(6) + sqrt(24)\/sqrt(4))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 5*w**3 - 2*w + 2. Let d be o(1). Solve 14 - 5 = 4*g + d*n, -5 = -5*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32999 is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 972092 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -290 = -50*i - 2*w, 3*i - 33 = 7845*w - 7842*w for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**2 - 2. Let t = 0 - -2. Let o be p(t). Let c(d) = -d**2 - 10*d + 4. Let k be c(o). Solve -4*s = -5*s - k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1341 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -n**4\/8 + 15*n**2. Let k(i) be the first derivative of 1 + 0*i**2 - 1\/3*i**3 + 0*i. What is a(k(x))?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -730.99 - -734. Let k = -0.01 + z. Let g = 486 - 487. Put 4\/5, g, k in descending order.\nAnswer: k, 4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (17 + 17 - 15)*(6 + 0 - 9)*(-7*u + 3*u + u).\nAnswer: 171*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - h - 3)*(211 - 339 + 183 - h**2).\nAnswer: h**3 - 55*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 6*p**2 + 1000*p + 2995. What is q(-3)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -58 + 58.51. Let w = -0.11 + i. What is w rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -14 - -15. Determine x, given that 4*x**2 + 4 - u - 8*x + 1 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32232302?\nAnswer: 2, 16116151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16)\/(1*sqrt(8)) - (-2 + sqrt(2) + -3)) + -4 + (sqrt(32) + 0 + sqrt(32) + 0 - sqrt(32)).\nAnswer: 1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 1 + 6 + -8 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-6)*6\/4. Let y(l) = 4*l - 14*l + 4*l + 16 + 7*l. Let v be y(-16). Solve r*d - d = v for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -353730944 by 2624.\nAnswer: -134806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2332 + -2330. Solve -88*f + 92*f - 8 = 0, t + u*f - 8 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -921, -1838, -2745, -3636, -4505, -5346, -6153, -6920?\nAnswer: -7641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 14*w - 2*w**2 + 41 + 13*w + 17*w - 41*w + 18*w. Let x(k) = 3*k**2. Calculate z(x(t)).\nAnswer: -18*t**4 + 63*t**2 + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -16 - 4*k + 0 - 2*k**3 - 11*k**2 + 3*k**3 - 4*k. Let s be m(12). Let c = s + -26. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.55 - -3.45. Put -1\/9, -10\/13, m, 0.2 in decreasing order.\nAnswer: m, 0.2, -1\/9, -10\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*i + 20 = 0. Suppose 5*p + 19 = 3*x - 0*p, 0 = -4*p - 8. Let y be (2\/4)\/((-4)\/8) - x. Sort -1, i, y in decreasing order.\nAnswer: -1, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 66 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the third derivative of r**7\/490 - 3*r**6\/280 + r**5\/140 + 3*r**4\/56 - r**3\/7 + 5*r**2. Factor t(q).\nAnswer: 3*(q - 2)*(q - 1)**2*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 < 1367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -928410623 and 0.0167.\nAnswer: -928410622.9833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 5050543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of x**4\/12 - x. Let z be 564\/9*-1*(-37 + 7). Let q(b) = -1880 + z + 6*b. What is q(i(m))?\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 63871, 63871, 63863, 63841, 63799, 63731, 63631, 63493?\nAnswer: 63311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + sqrt(720) + (sqrt(720) - (-2*(sqrt(720)*-2 - sqrt(720)) + sqrt(720))))\/(-5*(sqrt(250) + sqrt(250) + -1*sqrt(250))).\nAnswer: 24*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5c9 + -3?\nAnswer: 5c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 21. Suppose -3*b + 2*k - q = -4*b, 4*b - 65 = 5*k. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -61*z**2 - 77*z**2 + 18*z**3 + 20*z**4 + 46*z**2 + 38*z**3 + 16*z = 0. What is z?\nAnswer: -4, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g**2\/5 + 194*g\/5 + 196\/5 = 0. Calculate g.\nAnswer: -1, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the third derivative of v**4\/24 - v**3 - 4*v**2. Let a be (-20)\/6*9\/(-6). Let r be j(a). Does r = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 114 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**3 + 51*k**2 - 75*k + 1205. What is c(-53)?\nAnswer: -438","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 112 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + 1 + -2 + 2. Suppose 39 = t*o - 11. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -252, -508, -776, -1062, -1372, -1712?\n\"Answer: -x**3 - 249*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b + 7*b = 42. Suppose 0 = 5*l + 3*q - 1814, -5*l = -3*l + b*q - 722. List the prime factors of l.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:21 AM and 6:35 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 8*i**2 + 2. Let q(p) = p**2 - 2*p + 10. Let c(m) = -15*m**2 + 33*m - 165. Let n(w) = -4*c(w) - 66*q(w). What is t(n(f))?\nAnswer: 288*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*j - 20*j - 17*j - 12*j + 7*j - 5*j.\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5069*n = -2*p + 5074*n - 25, -n + 5 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 12 = -4*f. Suppose 5*s = -4*x + 8*x + 9, 3*s + 2*x = 1. Which is the nearest to f?  (a) -3\/4  (b) -3\/5  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -284\/8637 or 1?\nAnswer: -284\/8637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 12:54 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -a4169 (base 11) to base 12\nAnswer: -73b0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1638 + 572*b**2 - 1461*b**2 + 887*b**2 + 552*b.\nAnswer: -2*(b - 273)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 11) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.04443 times -0.1809\nAnswer: 0.008037387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f. Let b(j) = 2*j**2 - 3. Suppose 0 = -5*z + 11 - 1. Let r(c) = -16*c**2 + 3*c**2 + z + 11*c**2. Let d(h) = -4*b(h) - 6*r(h). Calculate d(w(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48291.06 centuries to decades.\nAnswer: 482910.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6\/29 in -97, -47, -0.4, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 60*j**2 - 2*j + 1. Let o be w(-2). Let m(a) = -a**2 - 67*a - 519. Let v be m(-9). Suppose 0 = -n + x + 239, -o = -v*n + 2*n + 4*x. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 88496831?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**2 - 2*s**2 + 2*s**2)*(3 - 2*s - 3) + (0*s - s + 0*s)*(s**2 + 2 - 2) + 0*s**3 + 6*s**3 - s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**3 + 10*h**2 - 9*h - 10. Suppose 0 = 7*g - 45 - 18. Give i(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 121601, 243034, 364467, 485900, 607333, 728766?\n\"Answer: 121433*n + 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) be the second derivative of 25\/18*c**3 + 0 + 64*c + 5\/36*c**4 - 5*c**2. Solve t(n) = 0 for n.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-9)*(-10)\/15.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 16) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 9. Suppose 0 = a - 6 + k. Let o be -1 - ((-26)\/1 - -1). Calculate the greatest common divisor of a and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (4 - (2 - -1))\/(1\/1265). Suppose -2*r - 589 - g = 0. Round r to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 - 62*o + 524. What are the prime factors of j(65)?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -398*v - v**3 + 398*v + 13*v**2 + (v + 2*v - 2*v)*(-2 + 2 - 2*v**2) - 2*v + 2*v - v**3 to l*v**3 + c*v + y*v**2 + t and give y.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 3862*h**3 - 14*h**2 - 3. Let u(b) = -19306*b**3 + 66*b**2 + 14. What is 14*o(v) + 3*u(v)?\nAnswer: -3850*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or -43\/9?\nAnswer: -43\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - 78\/(-6)) + 16 + -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 z when three letters picked without replacement from {k: 2, z: 1}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 836730?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 29\/2 of a day?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 + -20 + 18 - (2 + -8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27)\/((-297)\/308)*(-4)\/(-8)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - -4. Calculate the remainder when 59 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 1696557*z**2 + 409599*z**2.\nAnswer: 2106156*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33 + 36. Suppose -4*p + 16 = 4*r, 5*p - c*r - 15 = 13. Suppose 4*f - 4*w - 1860 = 0, 0 = f + p*w - 398 - 79. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(-6)*3\/((-45)\/10)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 105*r - 7*r**2 + r**2 - 105*r.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -17760 by -16.\nAnswer: 1110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 832 divide 56381231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -324 - -378. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*a**5*t**2 - 1391*a**5*t - 56*a**2*t**2 - 4*a*t**2 + 52*a wrt a.\nAnswer: 360*a**2*t**2 - 83460*a**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(25)\/(sqrt(30)\/sqrt(24)) + (sqrt(55)*-3*2)\/sqrt(11))*4)**2.\nAnswer: -384*sqrt(5) + 1424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = 7*g + 110. Let s(c) = -11*c. Let z(b) = 9*b. Let l(y) = 4*s(y) + 5*z(y). What is l(t(h))?\nAnswer: 7*h + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 11\/2, 0.1, -9, -3\/37, 2\/5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 0 - 64\/13*m**2 + 64\/13*m**4 + 118\/13*m**3 - 126\/13*m**5 + 8\/13*m = 0.\nAnswer: -1, 0, 2\/9, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4\/2165 or 1?\nAnswer: 4\/2165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 AM and 12:03 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q = -20, o - 207 = 2*q - 118. What are the prime factors of o?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -4, 2, -1 in descending order.\nAnswer: 2, -1, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/30*6\/22*(-5)\/700*-28?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -4*s + 28. Let o(m) = 3*m - 19. Determine 5*c(n) + 7*o(n).\nAnswer: n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p**5 + 8804*p**4 - 17620*p**3 - 70448*p**2 = 0. Calculate p.\nAnswer: -8806, -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*w + 126 - 28 = 0 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2723245 and 3514730.\nAnswer: 713490190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v - 2. Suppose 5*b - 19 = t + t, 0 = 3*b - 5*t - 19. Suppose -2*y + 13 = n, b*n - y = 2*n - 2. What is k(n)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 853430 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -287, 509, 1835, 3691, 6077?\n\"Answer: 265*i**2 + i - 553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -18 + 2 + v**3 - 4*v**2 + 21 + 0*v**3 - 2*v. Let c(w) = -3*w**3 + 11*w**2 + 5*w - 14. Calculate -4*c(m) - 11*t(m).\nAnswer: m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 32445 and 2144975?\nAnswer: 19304775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o**2 + 0*o**2 + 2*o**2 + 0*o**2 + 0*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/5 + 1 - 44\/(-10). Factor -34*u**2 + 0*u**3 + 7*u**2 + 12 + 9*u**z + 6*u**3.\nAnswer: 3*(u - 1)**2*(u + 2)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -7*l + 77. Let w be k(0). What is the greatest common factor of 14 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 134.7 - 134.6417. Let o = y - -0.0417. Suppose -4*m = 1 + 3. Which is the nearest to 0.2?  (a) 0.4  (b) o  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -4*m**2 + 64*m - 4. Determine i(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 3*sqrt(684) - sqrt(684))**2*-2 + (-5*sqrt(171)*2)\/(-2*sqrt(1089)).\nAnswer: -5474 + 533*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.42 - 0.58. Which is the nearest to 0.1?  (a) -2\/5  (b) -1\/2  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21)\/56)\/(54\/(-72)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(1 + sqrt(432)) - sqrt(432)) + sqrt(432) + 5 + sqrt(432) + 0)**2.\nAnswer: 768*sqrt(3) + 6976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*i + 41 = 2*d - 12*i, -3*d - 3*i = 21 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5778 + 5764. What is the biggest value in 2, 3, -1\/5, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*j**2 - 391*j - 1490 wrt j?\nAnswer: -4*j - 391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3171 - 1836. Does 27 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1889613*a**2*s + 2428468*a**2 wrt s.\nAnswer: -1889613*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 208910 is divided by 207683.\nAnswer: 1227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1792482385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 16*m + 1162. Calculate h(-72).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 377956513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 0*y + 4*n - 211 = 0, -n + 429 = 2*y. Calculate the remainder when y is divided by 191.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.089 + -4.911. Let t = -2\/199 + 605\/796. Which is the second biggest value?  (a) t  (b) 0.4  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -3*i - 6. Give s(-7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 13\/(-169)*2*1\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 22117335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - 1\/4 - 1107\/(-108). Suppose -j*i + 26397 = -i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 - 11. Let v = -0.94 - 0.06. Which is the smallest value?  (a) v  (b) n  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-204)\/170)\/((-3)\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1992975098.\nAnswer: 2, 8237, 120977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjak when four letters picked without replacement from ajeeejjkjjejjjjjaaj?\nAnswer: 55\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 6 + (263 - 228) - (11 - 1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 4 - (-3 + (0 - 0)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -93\/91916 and 21\/16.\nAnswer: 367664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 6606.416 years?\nAnswer: 79276.992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-2\/5))**(-1\/2))**12\/((s\/s**(-1\/4))**(-2\/21)*(s*s**6\/s*s)\/((s\/s**0)\/s)) assuming s is positive.\nAnswer: s**(-941\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(3\/(171\/(-2))). Let i = -22 + u. List the prime factors of i.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 5*p = 34, -b - 4*p + 0*p = -17. Let v = 6 - 7. Suppose 0*r + 6*r - 12 = 0. Put b, r, v in ascending order.\nAnswer: b, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {c: 2, r: 1, x: 2, j: 1, e: 2, h: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06497625 + -19481.76.\nAnswer: -19481.69502375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*u - 5*r = 90*u - 280, -5*r = 3*u - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -218, -424, -614, -782, -922, -1028, -1094?\nAnswer: -1114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 6\/21 - (-66)\/14. Let w(z) = 6*z + 6. Let n(x) = 6*x + 6. Let l(q) = 3*n(q) - 2*w(q). Is 18 a factor of l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -192.8 + 162.8. Which is the fourth smallest value?  (a) -5  (b) k  (c) -0.2  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 4795*d + 4778*d - 9582*d.\nAnswer: -9*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1909*p**3 + 1909*p**3 + 75*p**4 + (-23*p**2 - 13*p**2 + 24*p**2)*(0 + 0 + 2*p**2) + p**3 + p**4 - p**3.\nAnswer: 52*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 7*j**2 - 5419*j - 2. Let f(z) = -9*z**2. Calculate s(f(t)).\nAnswer: 567*t**4 + 48771*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -2*u**5 - 4*u**4 + 4*u**3 + 8*u**2 - 2*u - 4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 589, 586, 583, 580, 577?\n\"Answer: -3*y + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**5\/3 + 16*s**4\/3 - 28*s**3 + 136*s**2\/3 - 94*s\/3 + 8 = 0?\nAnswer: -12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/2*(6\/(-4))\/(-1). Suppose 0 = 3*n - f*l + 7 - 82, -2*l = -10. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 3*h = -11 + 1, 3*x + 40 = h. Let a be (-1 + 1)\/(-11 - x). Suppose -2*j + 2 + 0 = a. What is the highest common divisor of 11 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the third derivative of -137*a**6\/120 - 14*a**5\/15 - 7*a**2 + 8. What is the third derivative of v(s) wrt s?\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 7) to base 3.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29941.\nAnswer: 79, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 9489019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106755667.\nAnswer: 1109, 96263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/t**(-5))\/(t*t*t\/(t*t**4)*t*t))\/((t*t*t\/t**(-4))\/t**(2\/9)) assuming t is positive.\nAnswer: t**(-7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes before 11:05 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 11 = -3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -43.01 + -12.29. Let h = -50 - t. Let f = h + -4.9. Which is the closest to 2?  (a) 1\/2  (b) 3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4ac05 (base 14) to base 7\nAnswer: 1362605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + 2. Is ((-42)\/p)\/(1\/(-4)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5 + (34624\/(-17304) - -7). Is k > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3968 + -3956. Let a(r) = -2*r - 10. Let d be a(-7). Does 4 divide ((-108)\/h)\/((-1)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 5, -0.02, 1, 13\/4 in ascending order.\nAnswer: -5, -0.02, 1, 13\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 10 = 3*a - 25, 0 = -2*y + a + 3. What is the lowest common multiple of 2 + 19\/3 - 2\/6 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttttototttttto. What is prob of sequence otoo?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 417626 = 46*r - 24*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-46 + 74 - 35) + 8 + -104\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -34562\/29 - -1192. Let l = -47\/87 + t. Let w = 4.6 + -4.5. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -2*z - f, -81 = -3*z + 4*f - f. Let j(h) = -4*h**3 - 11*h**2 - 11*h + 1. Let k be j(-1). Put -4, k, 2, z in descending order.\nAnswer: z, k, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f - 4*q - 71 = 0, -5*f - 4*q = -8*f - 165. Let a = 110 - f. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 AM and 7:11 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*d + 46*d + 29 = 4*l, -d - 3 = 2*l for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3706\/51*(-3)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*h**2\/7 - 7866*h\/7 + 136080.\nAnswer: 6*(h - 1176)*(h - 135)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + 0 - (0 - -1). Suppose -3*x + 10 = i. Let r = 8 + x. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 570715867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 414035332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (246125508 + 4177*i - 246125508)*(4*i - 6*i + i)*(2 - 2 - 2)*(-i - i + 4*i).\nAnswer: 16708*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 9750 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 88311230 + -2.\nAnswer: 88311228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = -4*j + 11, 2*o - 10 = -0*o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (35\/9 - 4)\/((-38)\/114)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*z = 13*z - 5*x + 150, 0 = -3*x + 18. Solve 25*i = 33*i - z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -3*c - 16. Calculate q(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of b**2 - 47*b + 18 - 40 + 15. What is the first derivative of j(n) wrt n?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 3*b**3 - 20*b**2 - 9*b + 147. Let a(l) = -l**3 + 10*l**2 + 5*l - 64. Let w(k) = 5*a(k) + 2*g(k). Give w(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 649*h**2 + 4*h + 3. Let d be c(-1). What is d rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -133101111 (base 4) to base 10.\nAnswer: -128085","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -4*b**2 + 6*b - 12. Let h be l(2). Put 0, 0.4, h in decreasing order.\nAnswer: 0.4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -405073474*j**3 - 586246346?\nAnswer: -1215220422*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + 10000001000011101011?\nAnswer: 10000001000011101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ba8 (base 12) to base 8\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 140866 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the first derivative of -z**4\/30 + 28*z**3\/45 - 5*z**2\/3 + 8*z\/5 + 31. Determine m, given that d(m) = 0.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -88106 and -0.2.\nAnswer: 17621.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 3, -5, 1682\/975?\nAnswer: 1682\/975","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -5*n + 3*n. Let q be n\/(-2)*12\/21. Solve 1 = -t - q for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -75*g - 1. Calculate o(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 (base 4) in base 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -12a - 27?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 + 9*d**2 + 7*d - 17. Give n(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/254  (b) 3  (c) -12  (d) 13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6*6\/(-801)*80\/160.\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (32 - 12)\/(1\/16). Let a be 8 + -7 - (-2)\/2. Suppose a*v - b = -14. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (50\/20)\/((-3)\/(24\/(-130))).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 3*o = 16 + 13, -3*p + 3*o = -66. Let j = p - 17. What are the prime factors of 343\/14 - (-1)\/j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 196, 395, 594, 793, 992, 1191?\nAnswer: 1390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a tonne in kilograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -627 and 759.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - n = -341, -5*h + 485 - 75 = -2*n. Suppose -5*m + h = 24. Calculate the highest common divisor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24096637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 10 + 1)*(-2 + 0 + 0)*(-148*g - 187*g - 61*g).\nAnswer: -5544*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (19\/((-684)\/24))\/(1\/9)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f - 31 = -5 - 6, 0 = -2*v + 5*f - 29 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -4*v + 9, 6*v = v + 3*d + 15. Let l(j) be the second derivative of j**3\/6 + j**2\/2 - j. Determine l(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 5*j + 60 = 0, 4*j + 180 = 3*p + 139 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 82021.31 millennia in years?\nAnswer: 82021310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 54264145 to the nearest integer?\nAnswer: 7366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 89172.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 8:44 AM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 10*x**4 + 4*x**2 - 4 - 15*x**4 - 5 + 131*x**3 + 9*x**4 wrt x.\nAnswer: 96*x + 786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/9  (b) 14188147  (c) 0.5  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -43, 1, -1 in descending order.\nAnswer: 1, -1, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*n**3 - 6093946028*n**2 + n**3 + 6093946028*n**2 - n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (138\/(-8))\/(3\/(-8)). Let y(g) = g**2 - 15*g - 84. Let s be y(29). What is the greatest common factor of k and s?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 379, -4, 3, -3 in descending order.\nAnswer: 379, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u + 32. Let v be r(11). What is the smallest common multiple of 4 and -2 + -2 - (1 - v)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-26 - -1) + 355 + -288.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4*o - 168 = 0, -2*s + 35 = -5*o - 28. Calculate the remainder when s is divided by -4*((-3)\/(-2))\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3075*k**3 - 1528*k**3 + 19*k**4 - 890*k**2 + 110*k**2 - 1530*k**3 wrt k.\nAnswer: 456*k + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 429 is divided by 39.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2229 - 2547 = 95*t - 5251. Let u be (-1 - 2) + 30\/14. Let o = -2.04 - -0.04. Sort t, o, -13, u.\nAnswer: -13, o, u, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least as big as 5\/243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1130 divided by 425953.\nAnswer: -1130\/425953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = g**3 + 30*g**2 - 79*g + 5. What are the prime factors of h(-26)?\nAnswer: 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2*(-14)\/((-21)\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**3 - 17*d**2 + d + 21. Let o be w(-17). Suppose 0*n = o*n. What is the third derivative of -14*k**2 - 2*k**3 + n*k**3 + 5*k**3 - k**3 wrt k?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 20004421 + 0?\nAnswer: 20004421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3 + 5 = 0. Let b(n) = 4 + 9*n**2 + 0*n + 3*n - 5*n**2 + 9*n - n**3. Let l be b(6). Which is smaller: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y**2 - y - 634. Suppose -5*w + 10*w + 2671 = 4*m, 2*w = 4*m - 2674. Calculate the remainder when m is divided by l(-25).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (12\/(-10))\/(45\/(-24)). Let a = -6\/25 + j. Determine r, given that 2\/5*r**2 + 4\/5*r + a = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 45370, 90644, 135940, 181270, 226646, 272080?\n\"Answer: 2*h**3 - h**2 + 45263*h + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/(-7)*126\/9. List the prime factors of g\/8 + 57\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 1 = -3*v + 2*v, 4*v = -20. Suppose 0 = -a*k - 1 + 7. Let g(s) = -s**3 - 3*s**2 - 3*s - 5. Let r be g(-2). Sort 3, k, r.\nAnswer: r, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1064 a factor of 1182104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-8)\/(-6)*(-4)\/(-24). Let f be (-1)\/(4\/(-18)*-6). Let h = 0.257 + -0.057. Sort h, p, f.\nAnswer: f, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -2*n - 65. Determine x(-26).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 - n - 1. Let m(q) = -10*q**2 + 9*q + 6. Let f(v) = 5*c(v) + m(v). Let s(b) = -14*b**2 + 11*b + 3. Let y(j) = 17*f(j) - 6*s(j). Factor y(l).\nAnswer: -(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 14622491, 14622504, 14622529, 14622572, 14622639, 14622736, 14622869, 14623044?\n\"Answer: n**3 + 6*n + 14622484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-11)\/(-92) + 181\/(-724). Is 2\/3 <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - l = 0. Suppose l = 5*b + 3*i - 150, -5*b + 109 = 2*i - 41. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -482, -468, -444, -404, -342, -252?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -4*z**3 - 7*z**2 - 2*z + 4. Let d(j) = 4*j**3 + 6*j**2 + 2*j - 3. Calculate -6*d(y) - 5*m(y).\nAnswer: -4*y**3 - y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1517*p + 2526*p - 4039*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n**2\/5 + 349554*n\/5 + 85410248\/5 = 0. What is n?\nAnswer: -244, 175021","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 2, -36, -15 in descending order.\nAnswer: 2, -3, -15, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1682189*2\nAnswer: -3364378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*k - 86 + 86)*(0 + k**2 + 0) - 2 + 4*k - 13263*k**2 + k**3 + 0*k + 13257*k**2 + 2*k**3 + 4 - 4.\nAnswer: 11*k**3 - 6*k**2 + 4*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38530631.\nAnswer: 97, 397223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 5459 = 33*g - 32*g, -2*v = 4*g - 5424. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -301 by 1.\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 45726071?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 53 + -57.8. Let k = 2.2 + j. Let m = k + -1.4. What is the second smallest value in m, -5, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes before 5:51 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 508\/6 - (-2)\/(-3) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0317 + -0.0317. Let q = -3.2 + 0.2. Which is the nearest to m?  (a) 2  (b) 1\/5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*6*((sqrt(847) - (sqrt(847) - (sqrt(847) + -1*sqrt(847) + -4)**2)) + -5 - 1*(-2*sqrt(847))**2*4).\nAnswer: -162492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 2*c - 2 = 3*o, -30 = -5*o + 4*c. Suppose 81 = 4*l - 5*z, -2*l + 48 = -o*z - 2*z. List the prime factors of (6\/5)\/(l\/385).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**2 - 5*f + 2. Let k be (2 + 14 - -1)*-1. Let p = k + 12. What is u(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -3*o. Let w(u) = -196*u + 400*u - 198*u. Calculate p(w(i)).\nAnswer: -18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1622, 0, -0.5, -1\/9, -0.1, -1.7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2321.089 tonnes to milligrams.\nAnswer: 2321089000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -4*w + 2*n + 96, 3*w - 81 = -3*n. What is the greatest common divisor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z - 7. Let p(d) be the first derivative of 1\/2*d**2 - 6*d + 18. Calculate -6*g(m) + 7*p(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 2797.227895 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 534153400 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 6\/5 of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*b - 11*b - 30. Solve -3*l - 4*z + 3 = b, 2*l + 5*z = -14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/37 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 109253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1065884 or -1065752?\nAnswer: -1065752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2.1 + 2. Suppose -2*m = 5*l + 1, 0*l - 1 = -m - l. Let d be (-3)\/m*20\/(-6). What is the closest to -1\/3 in x, -2\/23, d?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2763972*z**3 - 31*z - 16761 wrt z?\nAnswer: -16583832*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**2 - 6*a + 5. Let v be (-6)\/8 + (-19)\/(-4). Let q be o(v). Is (q - 1)*(-409)\/(-4)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 3\/(15\/(-395)) - 1. Let i = 85 + t. Suppose 0 = i*z + r - 25, -6*z - 5*r = -z - 25. Solve 2*l - 7 = o, 3*l - 6 = -z*o + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17678.043 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 138147168 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 9:38 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or -93249.6?\nAnswer: -93249.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**2 - 16*i - 33. Let h be c(18). Suppose 2*k - 3*k + h*t + 20 = 0, -2*k = 2*t. What is the remainder when 10 is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2\/329 - 14494\/2961. What is the common denominator of -29\/7 and s?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 9*q**2. Let c = 3 + 8. Let s(l) = 6*l - 38. Let n be s(c). Let t(h) = -n + 35*h**2 + 28. Determine -4*t(k) + 15*w(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*b**2*o**3 - 8*b**2*u - 80*b*o**2*u + 9*b*o*u - 2*o**3*u - 2*o*u wrt o?\nAnswer: -12*b**2*o - 160*b*u - 12*o*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/15 and -187\/2555430?\nAnswer: 2555430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27 = -3*u + 3. Let w(i) = 27*i - 219. What is the remainder when 149 is divided by w(u)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 52605 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.66 + 1.48. Let m = o + -1.12. What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 36*h - 909. Determine g(25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 2235, 4545, 6867, 9207, 11571, 13965, 16395?\n\"Answer: t**3 + 2303*t - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233457?\nAnswer: 3, 7, 11117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 118*d - 4*z + 11 = 119*d, 0 = -2*d + 5*z - 30 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9264 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: Divide 3384 by -224040.\nAnswer: -141\/9335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*g = -29*g + 10. Let p = -12 + 7. Let j = -8 - p. Which is the second biggest value?  (a) 1  (b) j  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 29 - 35 - (-40 - -1). Let c be (-7)\/(-11) + 3\/v. Is c at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 945 and 630.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 1\/4, -2\/3, 2, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**4 - 11043*i**3 + 22093*i**2 + 33135*i.\nAnswer: -i*(i - 3)*(i + 1)*(i + 11045)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -71\/264 and 85\/4584?\nAnswer: 50424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = p**2 + 3*p - 9. Let d be n(2). Solve 0 = 2*f + 5 + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 62829 or 565450\/9?\nAnswer: 565450\/9","meta":{"dup_signals":{},"source":"comparison__pair_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 h(s) = s**3 + 6*s**2 - 9*s + 1. Let y be (-6)\/(-45) - (-78)\/90. Let q(l) = l**2 + 2. Let d(k) = y*h(k) - 5*q(k). Find v, given that d(v) = 0.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3062076 or -3062078?\nAnswer: -3062078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-330 + 57 - 375 + 18)*(-4*y**2 + 2*y**2 + 3*y**2).\nAnswer: -630*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 21 and 868.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11322 and 459.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 + 8*k)*(196784*k + 3884*k**3 - 196784*k) as i*k**2 + x*k**3 + g*k**4 + f*k + z and give g.\nAnswer: 31072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(44) + sqrt(704)*6)\/((-4*sqrt(12)\/sqrt(3) - sqrt(4)) + sqrt(4)).\nAnswer: -25*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 38?  (a) -106  (b) 2\/13  (c) -5  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1447464707.6 rounded to the nearest 1000000?\nAnswer: 1447000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 5423721057?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**3 + 12*v**2 + 27*v - 1. Let s be b(-9). Is (s - 2)*53\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36 = -116*k + 110*k for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ltllththtllllt. What is prob of picking 1 l and 1 t?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 66.36995 nanometers?\nAnswer: 0.06636995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-145 + 296 - 134 - 7*c)*(-1 + 1 - 2*c).\nAnswer: 14*c**2 - 34*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12522.\nAnswer: 2, 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 692 and 1852?\nAnswer: 320396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 3 + 1 = 0. Suppose -4*v = -2*j + 10, -9 - 2 = -3*j + 5*v. Is -3 + (j - w - -263) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -37 + -9. Let j = z + 66. Is j a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(51) - (sqrt(102)\/(1*sqrt(2)) + sqrt(51))) + sqrt(153)\/(sqrt(9)\/sqrt(3)))\/((sqrt(2100)*-1)\/(sqrt(112)\/sqrt(4) + sqrt(28))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5*z**2 - 6*z + 3. Let f be 20*-1*(-4)\/10. Suppose o + 2 - f = 0. Let h(q) = -3 + 7*q - o*q**2 + 0*q**2 - 1. Give 4*h(d) + 5*j(d).\nAnswer: d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4329682509 rounded to 3 dps?\nAnswer: 0.433","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 550, 888, 1396, 2068, 2898, 3880, 5008?\n\"Answer: -p**3 + 91*p**2 + 72*p + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 88410326 to the power of 1\/3, to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) - (sqrt(288) - (sqrt(288) + 1))**2) + 3 + 0.\nAnswer: 2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 4*u - 49. Let a be n(-6). Suppose -497 = -2*g + 9*g. Let w = g - a. Let h(o) = -2*o**3 + 3*o**2 - o - 1. Give h(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of -f**4\/12 + 2*f**3\/3 - f**2\/2 - f. Let d be j(3). Let s = 0.33 - 0.03. Which is the closest to d?  (a) s  (b) -0.3  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**2\/3 - 489238*o\/3 - 978484\/3 = 0 for o.\nAnswer: -2, 244621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 36416 - 29906. Calculate the greatest common divisor of h and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*w - 5*p + 70 + 36, 0 = 4*w + 4*p - 108. Let k = w - 17. Solve -4*n = -n + k for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 4669 = 4*j. Let f be j\/290 + (-1)\/10. Solve 0*v = 4*v - f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 - 33*w**2 - 2*w - 41. Let p be s(-33). Let q = -7 - 1. Let i be 1 - (1 - 2) - q. Calculate the greatest common factor of p and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1101 is divided by 192.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of 0*o**4 + 1\/225*o**6 + 0*o**2 - 4*o - 1\/150*o**5 + 0 + 0*o**3. Let k(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -4*z + 76, -3*z + 21*j = 26*j - 40. Solve z = 2*d - 4*q, 4*d - 3*q + 9 - 29 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-100)\/(-45))\/((-76)\/1368)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -228872, -457651, -686430?\nAnswer: -915209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 44, 182, 552, 1268, 2444, 4194, 6632?\n\"Answer: 19*l**3 + 2*l**2 - l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 2513.\nAnswer: 22617","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -f + 2*f + 9, -5*n + 10 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4.5 + 0.5. Let k = 0.013 - -1.987. Which is the third biggest value?  (a) 2\/3  (b) -123  (c) k  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*t**2 + 4*t**2 + 6*t**2 + 4*t**2 + 17*t**2 + 2*t**2.\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 19429687 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 981*z + 2022. Give f(-4).\nAnswer: -1902","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 82616 and 1288.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -183 + 186. Solve -x*t + 0*t - 12 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 5, l: 5, u: 3}. Give prob of sequence lul.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1722.9995802 + -1723. Round z to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 - ((35 + -29 - (5 - 0)) + 1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -115 and -1946.\nAnswer: -2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -493070 to the nearest one thousand.\nAnswer: -493000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**2 + 2*i - 3. Let k(z) = z**3 - 2*z**2 + 2*z - 2. Let j be k(2). Let r be h(j). Let g be 0 - (-2)\/((-14)\/r). Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1120 = -32*v, 2*v - 60 = 66745*l - 66750*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the first derivative of f**8\/1260 + f**7\/252 + f**6\/540 - f**5\/90 + 2*f**3\/3 + 1. Let g(o) be the third derivative of l(o). Solve g(j) = 0 for j.\nAnswer: -2, -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 42215142.45 to the nearest ten thousand.\nAnswer: 42220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2 - 9788836*x + 23955327558724.\nAnswer: (x - 4894418)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*-67*(-1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -3*k + 719, -k + 4*k - 687 = -3*z. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -21809\/4905 - -1\/545. Let p be 1 + 0 + 1 + 3. Suppose w - 58 = -4*s, -20 = -p*s + 5*w + 40. What is the common denominator of s and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0382269 * 0.1.\nAnswer: 0.00382269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 5, 2\/9, 5.37?\nAnswer: 5.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4762011.\nAnswer: 3, 37, 42901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -442061 and -5?\nAnswer: 2210305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 322 (base 5) to base 15\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 126, 130, 136, 144, 154, 166?\n\"Answer: g**2 + g + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -15903 divided by -57\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - -9) + (0 - 29) - -15 - (2 + 12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = -2*t - 6, 4*n = -514*t + 507*t + 34 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the third derivative of -r**4\/24 - 5*r**3\/6 - 3*r**2. Let d be w(-5). Is d <= -4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 16 + -16.4. Which is the closest to -1\/3?  (a) k  (b) -4  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from saaayvasyys.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:07 PM and 11:33 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 114299b (base 14) to base 12\nAnswer: 2909991","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 54255.93 millilitres in litres?\nAnswer: 54.25593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = 572*u - 570*u - 4, -5*u + 3*k + 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -5\/4, -3, -0.08, 3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4 - 236\/56)\/((-50)\/700). Suppose 0 = g - 1 - 1. Let x(w) = w**3 + 1. Let z be x(g). Calculate the greatest common factor of z and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1307\/84 + -87\/28. What is the smallest value in 0.4, -0.3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -70 - -42373. Let a = 67290 - c. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q - 188. Let p be c(-13). Are p and -163 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**4\/8 + 81*p**3\/8 + 535*p**2\/8 - 60417*p\/8 - 60025.\nAnswer: (p - 25)*(p + 8)*(p + 49)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 - 110011001101?\nAnswer: -110011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11565 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-3))\/((-18)\/(-27)). Let t be c - (-6 - -4 - 3). Let o be (-3 + 4 - t) + 9. Solve -3*s - o = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -5775, -22871, -51365, -91257?\n\"Answer: -5699*o**2 + o - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -20794890, -20794883, -20794876, -20794869, -20794862, -20794855?\n\"Answer: 7*a - 20794897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -1.5, 3, -0.05, 0.075?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 58794285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -23*n**2 - 8*n. Let t(c) be the first derivative of -5\/2*c**2 + 65 - 5*c**3 + 0*c. What is 5*f(w) - 8*t(w)?\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p - 2*p + 2*p)*(2 - 1 + 1)*(-15 - 12 + 8).\nAnswer: 76*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16*g**5 - 256601*g**4 - 11562936*g**2 wrt g.\nAnswer: 960*g**2 - 6158424*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 256450.3ng?\nAnswer: 0.0000000002564503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34697*h**3 - 39115*h + 2.\nAnswer: 208182*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 + -1*(-12)\/(-4). Let o(q) = -4*q**2 + q**3 + v + 2 + q + 3*q - 1. What is the tens digit of o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(65)\/(sqrt(180)*-2) + (sqrt(39)\/(sqrt(384)\/sqrt(8)))**2.\nAnswer: -sqrt(13)\/12 + 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 559 - 553. Solve k + 2*k = y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1878, -1879, -1882, -1887, -1894, -1903, -1914?\n\"Answer: -b**2 + 2*b - 1879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16\/2352)\/((-385)\/385).\nAnswer: -1\/147","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -18 + -17 - (5 + -9 + 0 + 5)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 12) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1573 = 8*o - 2771. Is 61 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 4 - 11 = 0. Let v(k) = -k**3 - 5*k - 3. Let z(w) be the first derivative of -w - 74 - 1\/2*w**2. What is n*z(o) + v(o)?\nAnswer: -o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 251978653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 478765382?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1084 and 286865966?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 23217\/58 less than or equal to 399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: 1211201*-4\nAnswer: -4844804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*o**2 - 12*o + 12*o + (3*o - 3*o + o)*(0 + 2*o + 0)*(-578 + 808 + 483 + 1606).\nAnswer: 4632*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(108)\/(sqrt(4)*-3) + (sqrt(81)*1)\/sqrt(3).\nAnswer: -4 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j + 185 = 5*d, 5*d = 5*j + 2*d + 228. Let s = j - -96. Suppose 2*x - s = x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 2403250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 59558 and 2?\nAnswer: 59558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -269217 - 28*a + 269217.\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s**2 + 309*s - 1790. Determine o(149).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (63312\/20)\/(928\/(-120) + 8) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -6*k**3 - 75*k**2 - 20*k - 37. Calculate h(-13).\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t + 45 = -2*h, -17*t + 3*h - 37 = -19*t. Suppose 70 = -5*i + 275. What is the remainder when i is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vhnro. What is prob of picking 1 n, 1 h, and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 7*k**2 + 8*k - 11. Let l be d(5). Let c = l + 21. Solve 0*o + 3*b = -4*o, b = c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 232*f - 377. Give u(4).\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 2*h - 4281. Let n(d) = -2*d + 1. What is p(n(j))?\nAnswer: -4*j - 4279","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 89, 102, 117, 134, 153?\n\"Answer: i**2 + 10*i + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 507076 is divided by 1609.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 9) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -635 + 636. Let i = -22 - -21.1. Let c = i + 0.4. Put c, 10, d in decreasing order.\nAnswer: 10, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -116891.\nAnswer: -23378.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1426.7 + 1365. Let o = z - -62. Put o, 1, 3 in increasing order.\nAnswer: o, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-3)\/(-2))\/(9\/12). Suppose 5*q - w*g - 75 = 0, q - 4*g - 25 + 10 = 0. Suppose 0*b + 3*b = 0. Solve -5*n + b*n = -q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 - 202\nAnswer: -202.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000024520136 rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/2, -201\/49, -5.\nAnswer: -5, -201\/49, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 23835689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 331627797 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: Calculate prob of picking 1 o and 2 c when three letters picked without replacement from leccoeclocloccc.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -244\/315 + 11\/14. Let q(o) be the third derivative of v*o**5 + 0 + 4\/9*o**3 + 1\/9*o**4 + 0*o + 3*o**2. Suppose q(d) = 0. What is d?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -399 - -411. Suppose 294 = i*r + 126. Solve -4*c = 2*h + 24, -3*h = 2*c - 6*c - r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b854 (base 15) to base 12\nAnswer: -1a6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -231305 (base 11) to base 6.\nAnswer: -11514232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12810\/(-44408))\/((-15)\/4)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 329594964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-4)*-22 + 1 + -2. Let p be 4\/10 - n\/(-30). Suppose p = 6*m - 21*m + 45. Solve -j - 5 = -3*h, 0 = -2*h + 7 - m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 71417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zzzfbfzkbzzbfbbz.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1260415 divided by 3?\nAnswer: 1260415\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the first derivative of 0*o**2 + o**4 - 27*o - 48 + 1\/3*o**3. Find the third derivative of z(w) wrt w.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 75106 and 2200446.\nAnswer: 1598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 + 25. Suppose -2*k + 8 = -a + 4*a, -5*a = l*k - 20. Let h be ((-5)\/1)\/((-15)\/a). Solve -4 = h*p - p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 6*u**3 + 5*u**2 - 4. Let z(i) = -12*i**3 - 11*i**2 + 9. Let b(o) = 9*g(o) + 4*z(o). Let d be (-1 - (-1 + 1))*-1. What is the units digit of b(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 376296*r**2 - 122 - 58 + 180 - 376298*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3867065 + 2550615. Round i to the nearest 100000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10 + -7. Let g be (-2*(-12 + 15))\/2. Put g, 2\/3, r in increasing order.\nAnswer: g, 2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/32578 and -11\/38306.\nAnswer: 3485846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -221 (base 10) to base 12\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-30\/13)\/((z*z*z**(13\/2)*z*z)\/z))\/(z\/((z*z*z**(-14\/5))\/z))**10 assuming z is positive.\nAnswer: z**(-1035\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 4*p + 1173120324. Let f = 58069589719\/198 + p. Let s = f + -6040\/9. Calculate the common denominator of s and -71\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -56.906 + 57. Let h = i + -5.394. Let s = h - -10.3. Which is the biggest value?  (a) s  (b) 0.08  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11131542 (base 6) to base 13\nAnswer: bb202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*k - 1 + 1)*(-12 + 26*k + 12) in the form c*k + m + v*k**2 and give v.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*h**3 - 90*h + 9*h + 19*h**2 + 7*h + 63*h + 11*h.\nAnswer: -10*h**3 + 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -470034 divided by 470034.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y = l + 8, l = -1654*y + 1653*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 4*k + 3. Let w(t) = -t - 1. Let z(l) = -2*h(l) - 6*w(l). Let d(b) = -52*b**2. What is d(z(g))?\nAnswer: -208*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -230145343 (base 6) in base 15?\nAnswer: -583560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 4*o - 187, 1 = 2*o + 7. Let d = -33 + k. Let f = -19 - -16. Put d, 4, 6, f in descending order.\nAnswer: 6, 4, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 70 and 6139?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 372*v + 391*v - 924 - 762*v + (-2 - 2 + 5)*(-3*v - v + 2*v).\nAnswer: -v - 924","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 4*s = 0. Suppose h + 9 + 3 = -2*p, 0 = 4*h - 4*p - 12. Sort -4, s, h.\nAnswer: -4, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3443 - -4867. Let s = w - 1408.43. What is s rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i + 1. Let p(h) = -2*h - 6. Let d(n) = -p(n) - 3*q(n). Let k = -2 - -1. Let o(m) = -m + 1. What is k*d(v) + 3*o(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -8 + 6*z**2 + 0*z - 11*z**2 - 8*z - 2*z**2 - z**3. Let w be b(-6). Find the first derivative of -w*n**2 + 5 - n**2 + n**2 - 11 wrt n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 AM and 6:57 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c + 2*y - 285, -c - 29 - 5 = -5*y. Put 5, c, -4 in descending order.\nAnswer: 5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.1931387 to three decimal places.\nAnswer: 0.193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 956 and 15535?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 127*q - 1539 = 267*q - 113*q for q.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 9*m + 0 + 19*m)*(-165753 + 5*m**2 + 165755 + 5*m**3 + m**3) to the form b*m**3 + z + h*m**2 + j*m**4 + w*m and give w.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/3 in 87, 2\/23, 2\/15, -0.04, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 43929?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/16325, -5, 0, -13, 0.2 in descending order.\nAnswer: 0.2, 2\/16325, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nmmunmmnmynynymmur. Give prob of sequence rnmy.\nAnswer: 7\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291 + 426 + 1233 = 57*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.1 and 221.\nAnswer: 221.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 113.1 + -117. Let j = p - -3.90000206. What is j rounded to seven decimal places?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1005, 310, -2267, -7668, -16835, -30710, -50235, -76352?\nAnswer: -110003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 10 - 5. Let q = n - -43\/3. Is 9 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 16, -2, -84 in increasing order.\nAnswer: -84, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2652 and 17.\nAnswer: -45084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (231\/154)\/(((-3)\/(-8))\/(-1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/2))**(-19)\/(q**8*q*q**(2\/9))*(q**4*q\/q**(5\/2))\/((q\/(q*q*q**(-1)))\/q*q**(-1\/5)) assuming q is positive.\nAnswer: q**(-676\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 2145350 and -15.82.\nAnswer: 2145334.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q + 2. Let c(i) be the third derivative of -i**4\/24 + i**3\/3 + 51*i**2. Calculate -6*c(m) + 5*l(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((4 + sqrt(192))*6)**2.\nAnswer: 2304*sqrt(3) + 7487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k + 4. Let c be 0\/((-54)\/45*10\/(-4)). Calculate b(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2\/7*h**4 + 0*h - 8\/7 + 10\/7*h**2 + 0*h**3 = 0. Calculate h.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9639 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 202 in 0.8, -5, 0.5, 2\/15, 3\/92?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -570 + 572. Sort 0.1, r, 17, 5\/2 in descending order.\nAnswer: 17, 5\/2, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 0.7  (c) 4.3  (d) 4\/7  (e) 3\/7  (f) -3\/79\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -423 divided by -40726\nAnswer: 423\/40726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 37840261 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 307*y + 2650 - 501. Let l(r) be the first derivative of r**4\/4 + 2*r**3 - 5*r**2\/2 - r + 1. Calculate l(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 58\/7?  (a) -2\/7  (b) 0.5  (c) 0.3  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the second derivative of 479*g**7\/42 + 321*g**3\/2 - 145*g. Find the second derivative of v(a) wrt a.\nAnswer: 9580*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 5:39 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 2*u = -86, 4*r + 0*u - 5*u - 71 = 0. Let n = r + -20. Find the third derivative of 0*q**3 - 22*q**2 - 605*q**4 + 616*q**n + 0*q**3 wrt q.\nAnswer: 264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4502 - 4429. Calculate the remainder when 136 is divided by j.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((2 - 1) + -2)\/(-1). Let c(g) = 0*g**2 + j + 2*g - 5*g + 4*g**3 + 3*g**2. Is 18 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ddcz when four letters picked without replacement from cddczdcvdczczcz?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1323146 - 348045. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aya when three letters picked without replacement from afydcdycrayfrdcc?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -z. Suppose 0 = 3*s + 2*q - 7, -4*s + q + q + 14 = z. Suppose 0*b + s*b = 18. What is the highest common divisor of b and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3582628, -7165256, -10747884, -14330512?\nAnswer: -17913140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -40.5 in -3\/2, -11, 5.8, -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = p - 580, 0 = -2*p + 2*b + 1127 + 57. Suppose -4198 = -22*a - p. Does 41 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1027470757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -323 (base 10) to base 3.\nAnswer: -102222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 24715068 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(14\/5))**(32\/5)*(h**(-22))**(6\/5) assuming h is positive.\nAnswer: h**(-212\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -u**4 - 60*u**3 + 120*u**3 + 17 - 5 - u - 55*u**3 to w + t*u + h*u**4 + d*u**2 + v*u**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 5*h = -8, 2*d + 2*d = h + 20. Let i(k) = 2*k - 3. Calculate the least common multiple of ((-9)\/(-15))\/(4 + (-195)\/50) and i(d).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -53  (b) -682  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209 is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, 2, -3\/11, -4805?\nAnswer: -4805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*l + m, -10 = -l + 3*m - 5*m. Suppose 3*z = -l*z + 117. What is the highest common factor of z and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 2*i = 18, 9*m + 0 = -i + 22. Let n(d) be the first derivative of -1\/3*d**3 - 23 + 8*d + 0*d**m. Differentiate n(z) with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*b - 5*u = 41*b + 118, 2501*u - 2493*u + 195 = 5*b for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*d - d. Let k be 224\/70 + 4\/5. Suppose -2*w = 3*p - 8, -p + 2*p = w - k. Put -1, p, -5, d in decreasing order.\nAnswer: d, p, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -5  (b) 2\/17  (c) 2  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 38, 20, -12, -64, -142, -252, -400?\n\"Answer: -h**3 - h**2 - 8*h + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3 + -3. Let y be ((-11613)\/c + 2)*-160. Round y to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3*h**2 + 4*h + 1. Let l be g(3). Let b be l\/10 + 2*-1. Suppose 3*u + 4*s = 117, 5*u + b*s - 181 = -0*u. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -57 + 47 + -1 + 1 + 5 - -16.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - h + 2)*(6*h - 9*h - 1 + 0).\nAnswer: 3*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 169740947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23903.\nAnswer: 11, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 3*i**2 - 51*i - 675. Give o(-21).\nAnswer: 1719","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -122 - -432?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.4  (b) 207  (c) -0.3  (d) 3  (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3123176 + -4?\nAnswer: 3123172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4)\/(-1 - (-2)\/6). Suppose -s*u + 2*u = -48. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -28710 and -25.88.\nAnswer: 743014.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1  (b) 0.3  (c) -3  (d) 298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the first derivative of 2187*z**4\/4 - 2*z**3\/3 - 7*z**2\/2 + 6*z + 1. Let d be u(7). Round d to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12135 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -977.52411 rounded to the nearest ten?\nAnswer: -980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 357356843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -314507 - -314507.0799935. Let a = i - 0.08. What is a rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13158*c - 6569*c - 6571*c.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106978 is divided by 493.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + h = 20, -205*h + 207*h + 35 = -5*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -8*u**4 - 46*u**3 + 5*u - 4476. Let q(j) = 7*j**4 + 38*j**3 - 4*j + 4477. Let m(h) = 4*l(h) + 5*q(h). Differentiate m(v) with respect to v.\nAnswer: 12*v**3 + 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r**(-2\/7)*r)\/r)\/r)\/r**(-1))**(-37) assuming r is positive.\nAnswer: r**(74\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 3*v**3 + 7*v**2 + 4*v - 2. Let g(k) = k**2 + k. Calculate -4*g(z) + t(z).\nAnswer: 3*z**3 + 3*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -4929 divided by 1\nAnswer: -4929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (1 + sqrt(539) + (4*sqrt(539)*1 - sqrt(539) - sqrt(539) - sqrt(539)) + (-5 + sqrt(539) + -2*sqrt(539) + sqrt(539) - (-3 + sqrt(539) + 0)))**2.\nAnswer: -14*sqrt(11) + 535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 177, 176, 175, 174, 173?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-2*-1*((sqrt(48)\/(sqrt(2)*1))\/(1*(sqrt(8) + sqrt(8) + 4*sqrt(8))))**2*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**5\/7 + 2402*k**4\/7 + 31008*k**3\/7 + 142784*k**2\/7 + 266240*k\/7 + 152064\/7 = 0.\nAnswer: -1188, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -160?  (a) 4  (b) -4\/7  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 4 = -10. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 5*k - 9. Let j be g(3). Calculate the greatest common factor of j and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -33*q - 294. Let u be b(-9). Solve s - 11 = u*k, s = -4*k + 9 - 12 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 198 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*r = -18 + 30 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g = -d + 35, -2*d - 3*g = -d. Suppose d = t - j, -4*j - 1 = t + 4. Suppose 0 = -t*i + 8*i. Solve 2*h - 4 = -i*h, 3*s + 5*h = 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 7*r + 4. Let q(m) be the first derivative of 4*m**2 + 5*m + 37. Let h(o) = -6*a(o) + 5*q(o). Give h(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 - 1006065.953.\nAnswer: -1006064.953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2100 + -1233?\nAnswer: -3333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 - 13 = -5*x, -2*p = x - 3. Let b be (-66)\/(6 - 7)*1\/p. Calculate the highest common factor of 297 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10730000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153351 divided by 4.\nAnswer: 153351\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 5*o = -115, -2*o - 206 - 50 = -5*i. What is the greatest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-82*j**2 - 1694*j + 1694*j)*(-32 + 61 - 4*j - 44).\nAnswer: 328*j**3 + 1230*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -172, -0.2, 0.67, -3?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a - 6. Let m be 42\/10 - 7\/35. Suppose -m*s = -4*l - 9 + 1, 5*l + 4*s = 17. Let y be q(l). Which is smaller: -7 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**3 + 2*r**3 - 3*r**3)*(-5 - 1 + 0) - r**3 - 2*r**3 + r**3 + (-1 + 1 - r**2)*(-r - 2 + 2).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 - -95 - (1 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 507275686 to the nearest integer?\nAnswer: 22523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 36\/105 - 4\/28. Let m = -0.77 + -4.33. Let p = m - -5. Which is the closest to -1\/2?  (a) p  (b) 3  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 27732.68716 + -27732. Let y = -0.69 + i. Round y to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100663 is divided by 50290?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 6*f**2 - 4*f + 3. Let r be w(1). Suppose -3*j + 42 = -15. Suppose -j*l = -14*l - 15. Sort 0, r, 1, l in descending order.\nAnswer: r, l, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -2, 0, -5, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 + 2 + 2*y**3 + 0 + 4*y**3 - y - 3*y**3. Let u be h(2). Let w be (6\/(-4))\/((-6)\/u). Solve 4 - 14 = w*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -613.9398 and -1.4.\nAnswer: 859.51572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1624\/20 - 1\/5. Let w = -19 + 69. Suppose 2 - 40 = -4*t + 2*u, 5*t = 5*u + w. What is the greatest common factor of t and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 4 - 4*c**2 + 9 - c**3 - 17 + 1 + 4*c. Let b be q(-5). Calculate the remainder when 81*((-20)\/12 + b) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ikkkkaooia. What is prob of sequence ii?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h - 6*h = -40. Suppose -h*n + 161 = -x + 9, 0 = 3*n + 3*x - 246. What is the lowest common multiple of n and 22?\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.3 and 4.7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 3 e when four letters picked without replacement from epenepeeejjypenjjpe.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 859 - 1719\/2. What is the nearest to 4 in -0.4, r, -0.7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(425) - (2*sqrt(425) + 3))**2 + 0 + (sqrt(425) - (2 + (sqrt(425)*-1)**2)).\nAnswer: 10 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 AM and 6:39 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 188779, 755156, 1699155, 3020782, 4720043, 6796944?\nAnswer: 9251491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 0) + (-47 - -37).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 - 17*n + 806. Calculate i(21).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-56)\/(-686))\/((-2)\/(-35)))\/(2\/14)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 + 9*t**2 - 8*t + 4. Let q be x(8). Suppose -3*y = 3, -y = q*l + y + 1810. Find the common denominator of 0 - 3\/((-168)\/l) and 95\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqvt when four letters picked without replacement from tvbqydqv?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add -12335.25 and 1353564.\nAnswer: 1341228.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4914, -10151, -15388?\nAnswer: -20625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t + 5*t - 4*t)*(t**2 + 0*t**2 + t**2) + (-t**2 + t - t)*(2*t - 1 + 1).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21*(-68)\/(-663))\/(182\/(-52))?\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(2\/9)\/a)\/a)\/(a**(-19)\/a))\/((a*a**(-1))\/a*a\/a**(7\/2)) assuming a is positive.\nAnswer: a**(391\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 4*r + 0*r = -39, 0 = -2*u - 5*r + 19. Suppose 0 = 3*f + k - 86, -4*f + 2*k = u*k - 122. Suppose 3*s = s + f. Is 14 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4543 - -5816. What is the highest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3 - 56329*w**2 + 793210895*w + 793267225.\nAnswer: (w - 28165)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 227\/723 + 14\/723. Which is the nearest to -1?  (a) 0  (b) h  (c) -1\/4  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 406a0 - 19?\nAnswer: 40683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h**2\/6 - 26944*h\/3 - 362989568\/3 = 0. What is h?\nAnswer: -26944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -44*o**3 + o**2 - o - 1. Let g(f) = -54*f**3 - 34*f**3 - 2 - 2*f + 2*f**2 + 0*f**2. Let a(p) = 6*g(p) - 13*z(p). What is the tens digit of a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3031 + -3035. Which is the biggest value?  (a) 62\/7  (b) -18  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -36, -18, 26, 108, 240, 434, 702, 1056?\n\"Answer: 2*w**3 + w**2 + w - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/9)\/(639\/(-80514))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 2, 5, -0.5 in decreasing order.\nAnswer: 5, 3, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 5 = 2. Let p(a) = a - 1. Let w(h) = h - 2. Let o(n) = 3*p(n) - 2*w(n). Let c(d) = -5*d - 4. Calculate l*o(u) + c(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 38*h - 11. Let k(j) = 535*j - 155. What is -6*k(i) + 85*m(i)?\nAnswer: 20*i - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -779 + 782. Suppose -2*w + 3*w = 0. What is the second derivative of 89*i**3 + w*i**2 + 0*i**2 + 14*i - 74*i**k wrt i?\nAnswer: 90*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus -2590746?\nAnswer: -2590744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the second derivative of 7*f**6\/120 - f**5\/60 + 5*f**2\/2 + 7*f. Let v(t) be the first derivative of x(t). Find the third derivative of v(a) wrt a.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.5 - -5. Let a = h + 0. What is the nearest to -0.1 in a, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*o**3 + o + 0 - 2*o**2 + 0 + 4*o**3 as b*o**3 + z*o**2 + g + l*o and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -45 - -44.6. What is the biggest value in 24, -3\/5, a?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in -0.13, -0.7, -7.04?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, r: 2}. What is prob of sequence lrr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-163\nAnswer: -32.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 24*y + 5 - 6 as i*y + m and give i.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 0.4, -1, 382, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**3 - w**2 - 1. Let l = -1 - -3. Let c be 2 - (l + 0 + -2). Is n(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -14, -45, -88, -143?\n\"Answer: -6*x**2 - 13*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -40 - -24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 109 = -5*n, -23 = -h - 2*n + 3*n. Calculate the remainder when h is divided by (3 + -3 + (-3 - -1))\/((-74)\/259).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109918*i + 102 = 109901*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + 6. Let d be 4\/4 + z\/1. Suppose 2*m + d = 5. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 112134947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 26690009 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -353 = -g - 4*k, 133 = -2*g + 5*k + 878. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 8 = -3*z + 2*r, -3*r = 3. Which is the nearest to -1\/7?  (a) z  (b) -5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*h = 13 + 1. Let q(c) = c**2 + 4*c - 10. Let v be q(-6). Find k, given that -k**2 + 0*k**v - 5*k**h - 2*k**4 - 3*k**5 + 3*k + 8*k**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - 1010100001001?\nAnswer: -1010100001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t - 2*t + 5*t**2 + 2*t - 10*t**2. Let a be (-1 - 5)\/(3\/(-2)). Let b(w) = -w**2 + w. What is a*b(v) - h(v)?\nAnswer: v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 13383126 divided by -5?\nAnswer: -13383126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Is 3908579 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2493 - -2496. Solve 0*b - 24 = -5*b - 4*h, -m*h = b - 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*k + m = -40, m - 518 = -k - 507 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/24*8\/((-128)\/(-20))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 25, -i - 2*w - 2*w = -4603. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 44813 and 4100?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9.819 - -10.819. What is the smallest value in -5, -71, n?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96395005?\nAnswer: 5, 7, 56207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 13?  (a) 5  (b) 0.5  (c) -0.08  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4554668*q**5 - 2*q**2 + 550315*q wrt q?\nAnswer: -273280080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -612 - 240459824.\nAnswer: -240460436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*t + 9*t = 180. Which is bigger: t or -37?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-175)\/(-60) - 4) + 6\/8. Let j = -3281 - -3277. Which is the closest to s?  (a) j  (b) 0.4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -3, 5\/4, -7, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 + 37\/(-9))\/(120\/(-11250)). Let y(o) be the third derivative of 5\/4*o**5 + 1\/24*o**6 + 0 + m*o**3 + 11*o**2 + 125\/8*o**4 + 0*o. Factor y(a).\nAnswer: 5*(a + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -h. Suppose -4*y = -h*y - 12. What are the prime factors of 2\/y*(-135)\/(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -805 minus 10?\nAnswer: -815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2c + -b13e?\nAnswer: -b16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 25 - 20. Solve -o + 2*d - b = 0, -2*d = o + 3*d - 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 58375*l**2. Let t(u) = 2*u**2. Give t(g(z)).\nAnswer: 6815281250*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 214, 322, 408, 460, 466?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 54.040959ns?\nAnswer: 0.0000000000006254740625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*o**4\/7 + 76*o**3\/7 - 48*o**2 + 576*o\/7 - 256\/7.\nAnswer: -2*(o - 4)**3*(3*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zpyplyppyplpplppyy. Give prob of picking 2 p and 1 y.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:49 AM and 9:02 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 v and 1 u when three letters picked without replacement from vgupgyguydvy.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 0, 4*l - l + 465 = m. Is (-4 - l) + -2*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -4*v**4 + 2*v**3 - 2*v - 7. Let h(n) = -4*n**4 + 3*n**3 - 3*n - 6. Let l(r) = 3*b(r) - 2*h(r). What is the derivative of l(q) wrt q?\nAnswer: -16*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the first derivative of n**4\/4 + n**3 + n**2\/2 + 4. Let q be g(-3). Is -1\/3 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 684407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 291261599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -2*j. Let t(k) = -231*k - 5. Determine d(t(m)).\nAnswer: 462*m + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of -1\/12*a**3 + 0 + 0*a**2 - 8*a + 1\/24*a**4. Let d(y) = 0. Calculate y.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/36  (b) 1  (c) 631  (d) 2\/5  (e) 2  (f) -3  (g) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s**2 - 3*s + 6. What is i(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23 + 22 - 30)*(0*z - z**2 + 0*z) + (-1 + 1 - 2*z)*(-4*z + 7*z - 4*z).\nAnswer: 33*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-690)\/1725)\/((2\/2)\/20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 10*z - 184. Calculate v(15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*s - 22 - 4*s - 8*s - 3*s + 181 to f + d*s and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, 4\/299, 1\/14080?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is (-20 - -6)\/(4\/(-510)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 - 15*q**2 - 60*q - 4. Give c(18).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10 + -10.036. Round n to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.09 + 0.31. Let p = -0.034 + 1.034. What is the biggest value in p, 5, l, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -26.8+-16088817559\nAnswer: -16088817585.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -102151303?\nAnswer: 102151303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1815795l in millilitres?\nAnswer: 181.5795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 2:06 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((-28)\/(-1116))\/((-1701)\/1458)\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -m**3 - 5419*m**2 - 4*m + 1486.\nAnswer: -6*m - 10838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10000121 - 101022?\nAnswer: -10101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 451405 - 219606. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnsnsnsnsnnnnnns. Give prob of sequence ss.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-21)\/(-56))\/((-1)\/4)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -5\/6  (b) -2\/29  (c) 13  (d) -6  (e) 2\/25  (f) 4\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*o + 224 = 101*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 5*r = 20, r = -w + 3*r - 3. Let y(j) = -j**2 - 7*j. Let d be y(-7). Which is the smallest value?  (a) d  (b) 2\/19  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cpxu when four letters picked without replacement from xpuxxmpumpcpmpcp?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -12002102 (base 3) to base 8\nAnswer: -7176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/(150\/12))\/((-39)\/(-15))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -6, 816\/67, 1\/2.\nAnswer: -6, 1\/2, 1, 816\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/2  (b) 3  (c) -2  (d) 1.2  (e) -1.23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.41 + -0.59. Let z = 1\/126 - -61\/252. What is the nearest to z in 3\/8, -1, v?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 16*q + 14 = -20*q, m = -2*q - 10. Solve 7*x - 6 = -3*d - 2, 3*x = -d + m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3125*(-1 + 1 + -1)*10880. Suppose 0 = -27*c + 31*c + z. What is c rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/4 - 43*2\/(-24). What is the second biggest value in o, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/6*(-2)\/(-14))\/(309\/(-618))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p. Let f be s(-9). Let u = f - -10. Suppose -3*c + 3*l + 3 = 0, u = -c + 9*l - 4*l. What is the smallest common multiple of c and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 5, -26, 2 in decreasing order.\nAnswer: 5, 2, 0, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -11 - 3. What are the prime factors of (-8)\/28 + (-30)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-26 - -92)*(-2)\/(-6). Let l(k) = k**2 - 5*k + 2. Let p be l(5). Suppose 0 = -4*m + p*m + c. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9\/28 + 4\/7. Let l = 0.07 + 0.33. Let n = l + -0.4. Which is the nearest to n?  (a) 0.1  (b) u  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 5, m: 1, w: 3}. Give prob of picking 3 g.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 4*m**2 + 219*m + 403. Let w be g(-53). Solve 32*x - 32 = w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3}. Give prob of picking 3 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 105 + 112 = 3*p, -2 = -b - 3*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24684528?\nAnswer: 2, 3, 11, 46751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19528 - 800696\/41. Which is greater: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 130 = i - 1455*n + 1460*n, 0 = -8*i - 4*n + 104 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d + 40. Suppose 3*i - 2*k + 57 = 0, -i - 3*i + 2*k = 74. Let y be p(i). What is the greatest common factor of 3 and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 + -23. Let b(z) = z**3 + 12*z**2 + 5*z - 6. Let j be b(p). Let l be j\/40 + (-2)\/(-5). Solve 0 = 2*f - s + 3*s - l, -3*f - 2*s = -6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -2\/17  (c) -43  (d) 2  (e) -1\/7  (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 7\/3, 2\/3, -3, -3\/2, -0.01, 3\/4?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 10 = -2*l, 3*l - 25 = -5*n. Let f(z) = 11*z**2 - z + 27 - 56 - n*z + 29. Let r(b) = 120*b**2 - 32*b. Give 32*f(a) - 3*r(a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = 3*y - 56, -2*w - 4*y - 22*y - 2*y + 326 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.140755 minutes to seconds.\nAnswer: 428.4453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = f - 15, -900*f + 901*f = -3*c + 21 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 2*c**2 + 4*c + 3. What is l(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 8, s: 2}. Give prob of sequence sqs.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(45)\/(1*sqrt(144)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 4*k + 139. Let x be a(-34). Suppose 3*b - 5 = n + x, n - 20 = -4*b. Suppose -1\/2*g**5 + 0 - 1\/2*g**b + 0*g + 1\/2*g**3 + 1\/2*g**2 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t + 2 + 1. Suppose 0 = -22*a - a + 46. What is the units digit of 3*a\/t + 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 9, a: 5}. What is prob of sequence asa?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00006219265519 to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.95 + 3. Let y = q + -0.45. Which is the second biggest value?  (a) -3\/4  (b) 1  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-2*sqrt(300))**2.\nAnswer: 6000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -b1636 (base 13) to base 15.\nAnswer: -640bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + ((-16)\/6 - -4)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 8\/(-10) + 1488\/(-13640).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21.560019 rounded to zero decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2)*(12*m**3 - 39*m**3 - 34*m**3).\nAnswer: -122*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 3027*l + 947. Is f(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**3 - 172*n**2 + 692*n - 9. Let u be b(4). Solve 0 = -75*p + u*p + 4*d + 4, -5*p - 2*d = 9 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 9}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) be the first derivative of b**3\/3 + 2*b**2 + 4*b + 2. Let j be 504\/20 + 1\/(-5). Suppose -j = 5*o - 2*h + 3, -h - 8 = 3*o. Calculate w(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 186419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/266)\/(775\/1085)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5751837 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-6)\/v)\/v**(-8)*(v**(-3\/22)\/v)\/((v**8\/v)\/v) assuming v is positive.\nAnswer: v**(-113\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z**3\/4 - 205*z**2\/4 + 743*z\/2 - 102 = 0. What is z?\nAnswer: 2\/7, 12, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 202.229172 - -1?\nAnswer: 203.229172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2526*s**3 + 505*s**2 - 505*s**2.\nAnswer: 2526*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f + 10*f = -4947. Let i = f + 291. Solve -v = -i*v + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 277 - 271. Let h(o) be the first derivative of 10 + 0*o**5 + 0*o**4 - 9\/2*o**2 + 0*o + 3\/2*o**g + 0*o**3. Find the second derivative of h(x) wrt x.\nAnswer: 180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99841.\nAnswer: 7, 17, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 37.9 - 37.900698. Round k to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -205100250 (base 6) to base 12.\nAnswer: -1257686","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/155, 11, 4, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 93265, 96968, 100673, 104380?\n\"Answer: n**2 + 3700*n + 89564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/(-10)*200\/20. Let o(f) = -f**3 - f**2 - 4*f + 6. List the prime factors of o(s).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 5*m = -8, m - 5*m + 6 = -2*w. Solve c + w = 4*t, 2*c - 3*c - 5 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*s = 903985 + 937250. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(153)*-1)**2.\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1055522 (base 7) to base 16.\nAnswer: -2022e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 71*y - 20 + 17 + 3.\nAnswer: 71*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/3 + (-35)\/(-15). Let h(b) be the second derivative of 5*b**4\/12 + 5*b**3\/6 - 7*b**2\/2 - 78*b. What is the tens digit of h(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:16 PM and 11:21 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 819, 823, 831, 843, 859?\n\"Answer: 2*u**2 - 2*u + 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4138 divided by 3?\nAnswer: 4138\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9010065 minutes to hours.\nAnswer: 0.015016775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 4.9685 and 71.\nAnswer: 75.9685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 + 0. Suppose 3*s = o - 7, s - 10 = -3*o - s. What is the closest to f in 1\/2, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 + 3*c - 4. Suppose -4*j + 0*j + 3*a = 15, -4*j - 3*a - 9 = 0. Calculate b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 0 + (19 - (13 + (9 - 31)))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-21712)\/(-6372))\/((-20)\/18) - 6\/(-2).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 - 5*d**2 - 3*d - 10. Let l be s(-5). Suppose -2*q - n + 47 = 2*n, l*q - 3*n = 65. Calculate the greatest common factor of q and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6094723 to the power of 1\/2, to the nearest integer?\nAnswer: 2469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 46712 greater than 46699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n + 1. Let h be b(-2). Let x = 0.014 - 0.214. What is the closest to h in 0.5, x, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of 0*g**4 + 3*g + 0*g**5 + 0*g**6 + 16 + 43\/2*g**2 + 52\/21*g**7 - 1\/3*g**3. What is the second derivative of c(o) wrt o?\nAnswer: 2080*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.86 - 3.14. Let g = -29 - -26. Let l be 12\/14*(-2)\/6. Sort l, q, g in decreasing order.\nAnswer: l, g, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 55443223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/((-3)\/((-45)\/6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 285887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -10.7522 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 + 32 + -25 - -50.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10640604 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1426210 is divided by 5615?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.1, -10, 15, 98, 1\/3, 3, 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3083075967 to the power of 1\/2, to the nearest integer?\nAnswer: 55525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhnsnsrz. Give prob of sequence srzh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -148, -16, 1.6, -4, -2\/3, 1, 2 in decreasing order.\nAnswer: 2, 1.6, 1, -2\/3, -4, -16, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -89447708*y**3 - 3*y**2 - 16605093*y wrt y.\nAnswer: -536686248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-639)\/(-5751))\/(5\/3)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 297.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 205 = -5*v, 0 = 2*v + t - 28 - 54. Suppose 4*c = 3*y + v, 0 = 5*c - 0*y - 5*y - 50. Calculate the smallest common multiple of 1 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/((-77)\/(-44418)) + 10 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the first derivative of -2*m**5\/75 - 3*m**4\/5 + 278*m**3\/45 - 8*m**2 - 1738. Let z(w) = 0. What is w?\nAnswer: -24, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -263908 - 9.\nAnswer: -263917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 220831?\nAnswer: 13, 16987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 179, 1505, 5117, 12155, 23759, 41069?\nAnswer: 65225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 4. Let t = 9 - m. Solve 0 = u + 3, -v + 2*v - u = t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 1 = 3*t, 0*t = -2*w + 3*t - 7 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -140768550 divided by 92550?\nAnswer: -1521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-nine fifths of a microgram in nanograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 128235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 5*l - 0. Let z be 1 - (-3)\/((-1)\/l). Put z, 1, -5 in descending order.\nAnswer: z, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in z**3\/4 + z**2\/2 - 53*z\/4 + 45\/2 = 0?\nAnswer: -9, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1766 + -1691. Solve -p = 2*j - 17*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -4*b**2 + 10*b - 9. Let n(u) = u**2 - u + 1. Let l(m) = a(m) + 3*n(m). Let j be l(6). Solve 6*p - 4*p + p**2 + j*p**2 + 1 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3592?  (a) -5\/2  (b) -5  (c) -1  (d) -14  (e) 0.3  (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of 12*z**2 - 46*z**2 + 4*z**2 + 32*z + 11*z**2 - 13. Find the first derivative of g(w) wrt w.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000078933 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*j**2 + 2 - j**2 + 3)*(3*j**3 - 2 + 2).\nAnswer: -3*j**5 + 15*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*i + 10, 18 = -4*r + 3*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r**3\/4 - 41*r**2\/2 - 40*r = 0. Calculate r.\nAnswer: -80, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((35\/(-140))\/(-14*(-8)\/320))\/((-2)\/14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k = -844 - 1208. Let n be (4\/6)\/((-1)\/(-57)). Calculate the greatest common factor of n and k.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19959417?\nAnswer: 3, 509, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the third derivative of -b**7\/1890 + 23*b**6\/540 - b**5\/12 + 2*b**2 + 181*b. Determine q, given that p(q) = 0.\nAnswer: 0, 1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -55 + 51. Put a, -20, -3 in descending order.\nAnswer: -3, a, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117*o = 170*o. Find s, given that o + 3*s - 3\/2*s**2 - 3*s**3 + 3\/2*s**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - 34. Let l be (h\/(-15))\/((-2)\/24). Let p be 23\/l + -2 + (-6)\/(-24). Solve 0*t + p = -4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 88 - 34. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 113 + -113. Let o(g) = -5*g - 97. Let l be o(i). Which is greater: -98 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 293, 291, 297, 317, 357, 423, 521?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100050.\nAnswer: 2, 3, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -352563*-54.\nAnswer: 19038402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t**2. Let h(i) = i - 1. Let v be 1\/2 + (-25)\/(-10). Suppose 0 = -o - 2*o - v. Let q(p) = 5*p - 3. Let b(u) = o*q(u) + 3*h(u). What is b(l(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -92071166*s + 191358956 wrt s.\nAnswer: -92071166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1965 divided by 5?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-96)\/(-18))\/8 + 2\/6. Solve -q + 6 = w for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 294875?\nAnswer: 5, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of 4*y**3\/9 + 15536*y**2\/3 + 60341824*y\/3 - 10042. Suppose n(a) = 0. Calculate a.\nAnswer: -3884","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qaiiilmiiiiqiigqqiia. What is prob of picking 2 i and 1 m?\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 + 35. Let t = w + -13.3. Let p = -2 + 1.9. Which is the smallest value?  (a) 1\/3  (b) p  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2695)\/1617)\/(1\/9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - 2*b)*(1 + 4 + 11) - 3*b + 3*b - 2*b + (3 + 0 - 5)*(0 + 0 - 2*b) - 2 - b + 2 + 3*b - 4*b - b - 9*b + 6*b + 7*b.\nAnswer: -29*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/((-20)\/15) + -43. Let y = -27 - k. Let s(z) = 110*z**2 + 7*z + 19. Let r be s(y). What is r rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 12008 + 8279. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 60 - 29. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 805 (base 16) in base 14?\nAnswer: a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**3 + 9*c**2 - 11*c + 34. Let p be g(8). Let h = 86 - p. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**(4\/7)*v)**(-5\/6)\/(v\/v**(-12)*v)**(-1\/14) assuming v is positive.\nAnswer: v**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m - 576*g + 580*g = -46, 110 = 5*m - 12*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 91726 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -75, -140, -247, -396?\n\"Answer: -21*x**2 - 2*x - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20 - (105 + (-17 - 38)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*h**2 + 97*h**2 + 47*h**2.\nAnswer: 130*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/155 - 4332\/(-5890))*85.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 + 22. Let x be c(0). Let l = 27 - x. What are the prime factors of (0 + 34)*(-3 + l)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1267875)\/(-30)*4320\/63. What is r rounded to the nearest 100000?\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9545 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*k**3 - 121*k + 121*k.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15*-0.45.\nAnswer: -6.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25\/4*j**2 + 0 - 5*j - 5\/4*j**3.\nAnswer: -5*j*(j + 1)*(j + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -5*k**2 - k + 1. Let w be y(1). Let a(h) = h. Let x(o) = 7*o + 1. Let b(m) = -6*a(m) + x(m). Give b(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/36 + 145595\/1110?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41 a factor of 6776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-4228)\/(-2718))\/(1456\/288)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 85\/16 and -79\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4329114 - 4329114 - 4789*n**3.\nAnswer: -4789*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -13*z - z**2 - z**2 - 9*z**2 + 10*z**2 + 4*z. Suppose 83*l + 28 = 79*l. What is t(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = g - 3. Let c be b(3). Suppose -3*w + c*w = -12. Suppose l = -l + 2, w*p - l - 23 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 900691 and -3.\nAnswer: 900688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5699, 5698, 5695, 5690, 5683, 5674?\nAnswer: 5663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-3)\/(s\/(s**(-3)\/s*s)))**(-3)*((s\/(((s\/(s*s**2))\/s)\/s))\/(s**(-4)*s))\/((s**(-3)\/s)\/((s\/(s**(2\/5)*s))\/s*s)) assuming s is positive.\nAnswer: s**(163\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -146.2706 + -0.0294. Let g = o - -146. Let k = -17 - -9. Sort 0, k, -1, g in descending order.\nAnswer: 0, g, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2260.0014 rounded to 0 decimal places?\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 144, -2, 5, 2 in ascending order.\nAnswer: -2, 2, 5, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 151\/306 and -71\/16.\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -4*h - 3. Let n(q) = -6874*q + 3438*q + 3435*q - 1. What is -9*n(f) + 2*z(f)?\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 88 + -42. Let n = 107 + h. Does 24 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of -h**4\/8 + h**2\/2 - 2. Let a(w) be the second derivative of p(w). Suppose 4 = -3*v + 5*d - 4*d, 3 = 3*d. What is a(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 24 = -6. Suppose -3*w + b = -15. What is the highest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/(0 - -2) - -9. Suppose -t = -2*k + k. Calculate the lowest common multiple of k and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 11475 - 4786. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14 - 10. Solve 3*p = x*r + 10, 4 = 3*p - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/8*(-12)\/(-15))\/(((-162)\/(-1035))\/18).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-15)\/(-10)*(-2)\/(-3). Calculate the remainder when u*(-4)\/(-8)*20 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/12 + 704001\/(-9). Let o = -124833 - y. Let w = o - -33011. Round w to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 40335389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*c**4\/3 + 784*c**3\/3 - 25610*c**2 - 784*c\/3 + 76832\/3 = 0. What is c?\nAnswer: -1, 1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jhjjhjjhjjjjhjjjjj.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 8310167868?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35, 34, 31, 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 249886.1 decades to millennia.\nAnswer: 2498.861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -18800.322 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p. Let h(n) = 2*n**3 - 785*n**2 - 3*n. Give h(q) - 3*m(q).\nAnswer: 2*q**3 - 785*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*k - 11 + 24 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 168 a factor of 17445792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4380.3 + -4380. Let v = -0.23 + 0.03. Which is the closest to -2?  (a) 1\/11  (b) -14  (c) o  (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 178 = 164. Which is the biggest value?  (a) 1\/3  (b) -3  (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 318 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -2*w**3 - 4*w**2 + 4*w - 3. Let b be f(2). Let k = -19 - b. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v*v\/v**(-1\/18))\/(v\/((v**(2\/5)*v)\/v*v*v*v))*(v\/((v\/(((v*v**(1\/19))\/v)\/v))\/v))\/v*v**(-2\/85) assuming v is positive.\nAnswer: v**(130369\/29070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*y**3 + 10*y**2 - 8*y**3 + 8*y**3 - 2*y**3 wrt y?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 1839992 = -4*c, -5*b = -5*c - 0*c + 2300010. Round b to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 1 + 1)*(-4 + 3 + 4)*(-28 + 21 + 19)*(3 - 3 + 1)*(-f - f - f) to u*f + c and give u.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -52, -111, -204, -349, -564, -867, -1276?\nAnswer: -1809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6108, -6106, -6104, -6102, -6100, -6098?\nAnswer: -6096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5903\/5 - 1181. Sort x, 7, 3\/5, 0.\nAnswer: x, 0, 3\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 150.00714 - 150. What is y rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 7459*w**3 - 6*w**2 + 6*w - 18. Let r(q) = -7459*q**3 + 7*q**2 - 7*q + 21. What is -7*l(a) - 6*r(a)?\nAnswer: -7459*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5693 - 5691. Let y = -141\/340 + 1\/68. Put y, -2, b, -3 in decreasing order.\nAnswer: b, y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 64658140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -31*d + 30*d - 27, -z = -d + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 33173\/3455 - 1\/691. Find the common denominator of o and 12\/19.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 2*l - 131, 35 = 3*a - 4*l - 72. Differentiate 17*r - a*r + 45 + 85*r - 11*r with respect to r.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48.369846 days in weeks?\nAnswer: 6.909978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 862.2552 + -789.265. Let t = -73 + i. Round t to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.033827 and 3.\nAnswer: 3.033827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 121131532.\nAnswer: 2, 1279, 23677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 18 - 57. Let o = p + 69. Let i = o - 34. Which is the smallest value?  (a) i  (b) -0.3  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 66 and 110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 90 and 2026260.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*p**4 + p**4 + 5*p**4 + (0 + 0 + p)*(-3*p**3 + 2*p**3 + 0*p**3) + 1323 - 4*p**4 + 2*p**2 - 1323 to w*p + t*p**4 + u*p**2 + l*p**3 + q and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 12 = -4*h, p = 3*p - 5*h - 15. Let q = -1898 + 1904. Solve -4*s - 26 + q = p for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 29907909 and 1791.\nAnswer: 1791","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 3*m - 252. Let d(g) = 3*g + 6. Let z(o) = 3*d(o) - x(o). Determine z(-45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/154 and 109\/418?\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 4648, 4, 5, 37, -3, -5 in ascending order.\nAnswer: -5, -3, 4, 5, 37, 4648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.7069 - 1173.1069. What is w rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 9888*l**6 - 2*l**5 + 10*l**2 - 2*l + 47.\nAnswer: 1186560*l**3 - 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 85329 (base 15) in base 7?\nAnswer: 3410016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -308.\nAnswer: -3\/308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 303, 2224, 7423, 17538, 34207, 59068, 93759, 139918?\nAnswer: 199183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -8, -11, -9 in decreasing order.\nAnswer: 5, -8, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -32 - (-9 + (21 - 49))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 3*u**7\/70 + 7*u**6\/40 + u**5\/4 + u**4\/8 + 4*u**2 - 10. Let b(d) be the second derivative of q(d). What is c in b(c) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 PM and 12:02 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 99449062?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 20\/310*6\/((-174)\/(-29))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 510389196, 1020778389, 1531167582, 2041556775, 2551945968, 3062335161?\n\"Answer: 510389193*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**2\/5 + 134*k\/5 - 1634\/5.\nAnswer: 2*(k + 43)*(2*k - 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 84 and 5670.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 40256757 and -5?\nAnswer: -201283785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 184676 and 46169.\nAnswer: 184676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-948)\/158 - (0 + -29)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (1*(sqrt(128) + -5 + -2 + sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128) + sqrt(128)))**2*1)*1.\nAnswer: -672*sqrt(2) + 4661","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 505 divide 1141452005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 4*r = -32, -n + 2*r + 1 + 3 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -1) + 0 + 0 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2.1  (b) -5  (c) 2\/13  (d) 1  (e) -0.52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*u**2 - u**2 + u**2 - 2*u**4 - 2*u**3 - 2 in the form s*u**3 + m*u**4 + j*u + t + k*u**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 14 + (-11 - -3 - -9) - -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1064\/35)\/8)\/(12\/(-60)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21841286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 - 10*r + 43. What is f(-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (12\/13)\/(1494\/9711)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.747782 microseconds to nanoseconds.\nAnswer: 8747.782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((477\/265)\/(3\/(-70)))\/(((-189)\/(-12))\/(-21)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 5, d: 2, w: 2, h: 8, c: 1}. What is prob of sequence cww?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + j = -4229 - 2532, r = -j + 3373. List the prime factors of (-30)\/105 + r\/14.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from {l: 2, s: 2, p: 1}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 - 35 = 10*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of q**3\/3 - q**2\/2 - 31*q. Let k(g) = 13*g - 4. Let c(b) = -k(b) + 2*w(b). Let n(h) = -h**2. Determine n(c(i)).\nAnswer: -81*i**2 + 36*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1*sqrt(684)*-2 - sqrt(684))*-1*-2 + 3.\nAnswer: 3 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.09 + -0.89. Let p = 0.02 - l. Are -1 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 AM and 12:47 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r. Let c(t) = -186*t**2 - 3. Give j(c(k)).\nAnswer: 186*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of 1\/4*x**4 + 0*x**3 + 16*x + 1\/2*x**2 + 4. What are the prime factors of d(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-6)\/(-3)*81\/18. Suppose -t*c + 2485 = 10. What is the greatest common divisor of c and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.6500245 + -0.65. What is i rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 4*d + 4. Let b be m(-4). Let c(s) = -77*s - 2. Let u be c(-5). Is u\/3 - (-8)\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110 (base 4) in base 9?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2dc (base 14) to base 11.\nAnswer: -493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(275)\/sqrt(275))\/sqrt(5).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 78 and 354432?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 4*g = 20 + 3, -4*u + 9 = g. Let p(x) be the first derivative of 3\/2*x**2 - 1 + 0*x. Give p(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-4274)\/(-14) + (-6)\/21. Let y = -178 + f. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 25*l**2 - 10*l - 2082. List the prime factors of j(-38).\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -24 + 44341225?\nAnswer: 44341201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(24\/(-9) - -2). Let k be -1 - 3\/(-6)*q. Which is the third biggest value?  (a) -2  (b) k  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 859, 733, 607, 481, 355, 229?\n\"Answer: -126*z + 985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.57 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -o**3 + 8*o**2 + 17*o + 22. Give j(10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 2*u - 618. List the prime factors of u.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7 - 5*s**2 - 13 + 12.\nAnswer: -5*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2257 (base 15) to base 9.\nAnswer: 10881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.123 - -0.177. Let y = 23 + -23.1. What is the smallest value in -3, 1\/8, b, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 3  (b) 2\/27  (c) -0.2  (d) -1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 64574*w**3*y - 21185574*w**3 - 91*y wrt y.\nAnswer: 64574*w**3 - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -101 - -43. Suppose 7*q = 2422 - 574. Let l = a + q. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -76 - 20c?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 91274795641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 3*z**2 + 223*z - 896. Let m be u(4). Solve -m*y = -57*y - 39 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 39947, 39945, 39941, 39935, 39927, 39917?\nAnswer: 39905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 12*d. Let w(s) = 13*s**2 + 536273*s. Calculate n(w(m)).\nAnswer: 156*m**2 + 6435276*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*z = -27*z - 16. Suppose 0 = -15*w + z*w + 21. Solve -5*h + w*i = 16, 4*h - 8*i + 3*i = -5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -192170, -192172, -192174, -192176?\n\"Answer: -2*w - 192168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 17337988*m**2 - 20530078?\nAnswer: 34675976*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 + -4. Let d be 6\/(-4) + (3 - 1). Does d = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1575154 - 1575228.0999. Let d = c - -0.1599. Let i = d + 73. Round i to one decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -4  (c) 2  (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence psr when three letters picked without replacement from ngsqpr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 4, t: 4, x: 2}. Give prob of sequence xtt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 9, -10, 0, 15 in ascending order.\nAnswer: -10, 0, 5, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-242)\/7623 + 2524\/126\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 + 34 = -6*o. Sort 5, 6, o, 0 in descending order.\nAnswer: 6, 5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (75 - 35) + -9 + -18 - (0 - 33)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the second derivative of 5*l**4\/12 + 2*l**3\/3 - l**2\/2 - 6*l. Let m(x) = -x**2 + 6*x + 4. Let v be m(6). Is c(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n = -s + 4*n - 4, 3*n = 3*s - 24. What are the prime factors of 236 + (s + 0 - 1)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -84550859\nAnswer: 4\/84550859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m and 1 n when three letters picked without replacement from {i: 7, v: 2, n: 7, m: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1244*1.0826\nAnswer: 1346.7544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -61*z**2 - 1294594*z - 152585682 wrt z.\nAnswer: -122*z - 1294594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -2744, 2 in increasing order.\nAnswer: -2744, -4, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 32 + -17. Suppose 5*a - 4*j + 50 + 26 = 0, 2*a + 20 = -j. Let b be a\/(-6)*2*30. What is the highest common factor of b and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 - 4*x + 5. Let w be m(7). Let u be (0 + 0)*13\/w. Suppose 2*f = 3*t + 20, -3*f + 4*t + 28 = -u*f. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 53*z - 52*z. Suppose -z*d = -23*d - 175. Solve -23 = -12*h + d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 2426 = -z, 2*z + 12150 = 7*z - 5*l. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 990.1453cm?\nAnswer: 9901.453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*u**3)*(-959 - 2485 + 1240 - 3665).\nAnswer: 11738*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = 4*a - 20. Let x(u) be the third derivative of -u**4\/12 + 7*u**3\/6 + u**2 - 40*u. What is x(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -g**3 - g**2 + g + 6. Let o be l(0). Suppose o*b - 119 = -b. What are the prime factors of b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -5*a**2 - 11*a + 2. Let k = -39 + 50. Suppose 5*j - 9 = k. Let z(o) = -2*o**2 - 4*o + 1. What is j*r(c) - 11*z(c)?\nAnswer: 2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (1 + 0)\/(-1 - -2). Let p(y) = -y**3 + 5*y**2 - 6*y + 5. Let z be p(3). Put j, -1, z in increasing order.\nAnswer: -1, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -7 - 1. Calculate the common denominator of -53\/10 and n\/3*(-246)\/16.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20075377 (base 8) to base 7.\nAnswer: -50630043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3483 and -26.1.\nAnswer: -9.09063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -3244*f**3 - 196*f**2 - 7*f - 50. Let t(r) = 1081*r**3 + 66*r**2 + 2*r + 15. Let a(k) = -7*t(k) - 2*x(k). Find the third derivative of a(w) wrt w.\nAnswer: -6474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -88*m**2 + 3*m + 2. Let n(x) = 88*x**2 - 2*x - 2. Let u(i) = 6*n(i) + 5*y(i). Is u(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -3*t + 16869, 0 = -2*t - 5*x + 16313 - 5067. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3926 and 17818.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 429 and 17424?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - 1)*(-6 - -7). Let k = 3 + v. Sort -5, k, -2 in ascending order.\nAnswer: -5, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -5*u**5 - 85*u**4 + 2440*u**2 - 6640*u + 5040 = 0.\nAnswer: -14, -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**2 - j + 33. Let g be o(-6). Let r = 5 - g. Let n(w) = -w + r*w**3 + 2*w**2 + 2 - 4 + 0 - 3*w**2. Give n(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 91  (b) -0.1  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -16158258.05 to the nearest 10000.\nAnswer: -16160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 173*c*f**2 + 15*c*f - 92*c - 99527*f**2 - 175*f + 2 wrt f?\nAnswer: 346*c - 199054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -69b9 (base 16) to base 6\nAnswer: -325145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b + k + 32 = 0, -3*b - k + 23*k + k - 89 = 27*k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 117990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let 57*o**4 - 212*o**4 - 2*o + 0*o**2 - 2*o - 13*o**3 + 68*o**2 - 70*o**3 = 0. Calculate o.\nAnswer: -1, 0, 2\/31, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 2*w + 5*w = 12, 5*j - 10 = 5*w. Let x be (8\/j)\/(4\/24). Find the common denominator of -27\/10 and 1\/(x\/(-364)) - 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23197 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*3*21\/21*209\/(-11).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 21283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 5*v = 0, -5*v - 4 = 3*l - 0. Let z(h) be the first derivative of 9*h**2 + 2*h**5 - 4 - 5*h**2 - 3*h**l. Find the second derivative of z(b) wrt b.\nAnswer: 120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1176, -30, -13, 7, 12 in descending order.\nAnswer: 1176, 12, 7, -13, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2600 a factor of 50465210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -138*x + 1661. Let u be j(12). Solve -3*n + 12 = -u*t, -8*t + n - 4 = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6756*j + 2951*j = 2308*j + 110985 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of 399\/8*t**2 - 18*t - 147 - 11\/8*t**3. Suppose c(z) = 0. What is z?\nAnswer: 2\/11, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*r = 206 + 424. Let j = -66 - r. Which is bigger: j or 23?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-94)\/(-282)*(-6)\/8*(-4)\/(-10).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-175)\/(-28) + 1\/12*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -8417, 3\/14 in ascending order.\nAnswer: -8417, 3\/14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1 - -3. Suppose w*v + 6 = 4*v. Let j = 0 + 2. Solve 0 = -4*z - 4*n - 8, j*z = -3*z - v*n - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2689562.\nAnswer: 2, 1344781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 13*c. Give d(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) 2  (b) 5393  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-1\/18)\/t*t)\/(t\/(t*t\/(t*t\/t**(1\/4))))*(t**(5\/2)\/t)\/(t**(-2\/5)*t) assuming t is positive.\nAnswer: t**(197\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*p**5 + 4*p**5 - 5*p**5 + (-5*p**2 + 2*p**2 + p**2)*(-15*p**3 - 15*p**3 + 45*p**3) - 10*p + 6*p**5 + 10*p.\nAnswer: -21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1278*c - 1273*c + 2325 = 0. Let i = c + 468. Solve i*k = 7*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -214*q - 242*q - 436*q - 44*q. Let g(o) = o**2. Give m(g(r)).\nAnswer: -936*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1933*x - 75 = -1918*x. Let p be 8\/(-6)*(-15)\/190. Put 7, p, x, -0.2 in decreasing order.\nAnswer: 7, p, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19*w**2 + 190*w wrt w.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -753121, -753123, -753125?\n\"Answer: -2*b - 753119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 AM and 3:13 PM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10 (base 5) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 10*y = 9. Let j(u) = 6*u**3 - 2*u**2 - u - 1. Let r be j(y). Let a = -37 - r. What are the prime factors of a?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 53036*f**3*s**2 - 196787*f**3 - 3*f*s**5 + s wrt s?\nAnswer: 106072*f**3 - 60*f*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41527017*t - 41527017*t + 1525*t**3.\nAnswer: 1525*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*t**3 - 16*t**3 + 8*t**3 - 2*t**3.\nAnswer: 26*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12\/(-14))\/3 + (-570)\/(-35). Let a be (g\/(-12) + -3)*(1 - 4). Let y = a - -43. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(180)\/sqrt(4) + sqrt(45))\/(sqrt(9) - (sqrt(72) - (sqrt(72) - (sqrt(72)*2 + sqrt(72))))\/sqrt(8)).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/27*36\/(-24). Is 1 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cq when two letters picked without replacement from vfqtvvvfcftvvtvqtt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 2, f: 17}. Give prob of sequence ss.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.44 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 809*h + 60552 = -578*h - 54*h - 647*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1327629?\nAnswer: 3, 23, 71, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*m**2 - 15359828 + 15359828.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 184\/(-276) - (-280)\/6. Calculate the greatest common divisor of 1840 and c.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4 - 5*s**3 - 2*s**2 + 24*s.\nAnswer: s*(s - 4)*(s - 3)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 + -3 - 73) + (-99 - -99) + -10?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 + 14 = 2*v - 2*m, -5*v = m - 110. Let n be 40\/7 + 6\/v. Suppose n*t - t - 165 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 3*o**3 + 15*o - 17. Let g(x) = x**3 + 5*x - 6. Let v(z) = -4*z**2 - 30*z + 27. Let f be v(-8). Give f*g(b) - 4*y(b).\nAnswer: -b**3 - 5*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -8*h. Let s(w) be the third derivative of w**6\/120 - 29*w**3\/3 + 83*w**2. Let z(m) be the first derivative of s(m). Determine b(z(k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -743 and -192602?\nAnswer: 191859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -33dc5 (base 14) in base 9?\nAnswer: -212103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -60080, -240363, -540844, -961529, -1502424?\n\"Answer: -y**3 - 60093*y**2 + 3*y + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h + 22. Suppose -3*k + 38 = -g, 22 = 4*k - 2*g - 26. What is l(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 542968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -815 in 5, -1\/58, 184?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1605 + 4503. Is b equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 29432*r**3 - 119746 wrt r?\nAnswer: 88296*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 - -1. Suppose 3*y - 8 = -r, r = -h*y + 5*r - 2. Suppose 4*v + 2 = -y. What is the second biggest value in 5, -0.1, v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -155 - -78. Let f = -67 - u. Let r = 0.31 + 3.69. What is the second smallest value in r, 1, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*m**2 - 18*m**3 - 247*m + 62*m**3 + 4*m**3 + 247*m to the form a*m**3 + w + n*m + u*m**2 and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*i + 4*i + 12*i + (i - 2*i - i)*(-3 + 4 + 0) - 1 + 1 - i)*(i + i + 0*i) + (-16*i - 7 + 7)*(0 + 0 - i).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (12 - 11 - f - 5*f)*(-14 + 22 - 28) to the form h*f + b and give h.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/8)\/((1110\/264)\/37).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -9*m + 33. Let l be i(6). Let y = -18 - l. Calculate the smallest common multiple of y and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 + 8*d + 2. Let s be c(6). Let n = -33 + 33. Suppose -y - 6*y + 784 = n. Calculate the highest common factor of s and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14*c*d**2 - 10*c*d - 2438*c - 120*d**2 - 228 wrt d.\nAnswer: -28*c*d - 10*c - 240*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2 + -2)*-1 + 5. Suppose -j*h + 9 = -6. Solve -4*z - h = 5*t, -5*z + t = -3 + 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -110101111110001000011 (base 2) in base 6?\nAnswer: -101523323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**4 - 823*p**3 - 188591*p**2 - 13204793*p.\nAnswer: -p*(p + 163)**2*(p + 497)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dldd when four letters picked without replacement from {d: 9, j: 4, l: 6}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 259 + -119. Suppose a + 8 = 4*z - 2, -4*z = 2*a - 28. Suppose v = a*v - p. Calculate the remainder when v is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 318 = t, c = t + 14 + 46. Sort -2, 0.2, c.\nAnswer: -2, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 121841516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 25*i + 3564. Let q be ((-9)\/4)\/(6\/(-48)). What is the highest common divisor of i and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -7*k**4 - 41*k**3 - 35. Let s(o) = 3*o**4 + 21*o**3 + 17. Let y(r) = 2*m(r) + 5*s(r). Differentiate y(x) with respect to x.\nAnswer: 4*x**3 + 69*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*m - 63183 + 65408 = 0 for m.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xexqxxxxxxxxx. Give prob of picking 1 x and 1 e.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2060.9 + 2056.9. Put -0.1, w, 2, -2\/3, 1318 in increasing order.\nAnswer: w, -2\/3, -0.1, 2, 1318","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b, 1 d, and 1 j when three letters picked without replacement from vbjeudj?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (188 - 12*m**2 - 188)*(m**2 - 7*m**2 - 21*m**2) - 2*m**4 + 0*m**4 + m**4 + (-3*m + 2*m + 7*m)*(-4 - 2*m**3 + 4).\nAnswer: 311*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 35468 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, t: 4, y: 2}. What is prob of sequence yyt?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.232802 micrometers in meters?\nAnswer: 0.000005232802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 55335469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*-3*(-9)\/((-540)\/(-8)). Let v(r) = 4*r. Let s be v(2). Put s, a, -2 in descending order.\nAnswer: s, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = 1 - 7. Suppose 5*q - k - 106 = n*k, k = 2*q - 42. Solve q = -7*j + 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 9 - 8.9. Let k = 204289\/20 + -10212. Let f = -1\/20 - k. What is the closest to n in -3, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -4 + 3*(-1*sqrt(405) - sqrt(405)))*-4.\nAnswer: 16 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 513151350.\nAnswer: 2, 3, 5, 199, 17191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -1) + 1 - (-34 - -25 - -20).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 656*g**2*i**2 - g**2*i + 14*g**2 + 2*g*i**2 + 27*g*i - 7*g + 1 wrt g.\nAnswer: 1312*i**2 - 2*i + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.3 and -122551336285.\nAnswer: -122551336285.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 102712\/11 + -9336. What is the second smallest value in b, -0.4, -3\/8, -2\/13, -14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1142132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150*q + 3*s = -153*q + 6, 11 = 4*q + 3*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11888 = -3*u + 7885. Suppose -4*z - u = -43*z. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/2, 0.07, -4, 3, 12?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1500 = 5*w - 4*k + k, -2*k = -5*w + 1495. What is the greatest common divisor of w and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 * 213792\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 15475, 15431, 15389, 15349?\n\"Answer: o**2 - 47*o + 15521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.18 times -1595\nAnswer: -287.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6117985 and 2610.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2481369 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 57*v - 4 - 26*v - 27*v. Let h be u(2). Suppose -4*g - h*p + 199 = -p, -4*p - 12 = 0. Calculate the greatest common factor of 39 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*n**3 + 1438*n**2 + 2*n**3 - 1438*n**2 + 3*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -1, -3, 97, -2, 0 in descending order.\nAnswer: 97, 5, 4, 0, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*y + 0*y + 2*y)*(-1 - 144 + 29) - 32 + 32 - y in the form t + k*y and give k.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -19 - -21. Solve 0 = -q - 0 + j, -20 = 2*g - 5*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1739, 19627, 77619, 190549, 376729?\nAnswer: 654471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-14)*(1845\/(-90))\/41\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 94 and 57998?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7 and 308?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42 - 142*t + 23 + 19 - 1859*t - 84.\nAnswer: -2001*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -20*w**2. Let j(g) be the second derivative of -5*g**3\/6 + 367*g. Give j(l(h)).\nAnswer: 100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -3  (b) -43  (c) -4  (d) 101.9  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a millennium in decades?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the second derivative of 0 + 31\/6*p**3 + 5*p + 3*p**4 + 0*p**2. Find the second derivative of l(u) wrt u.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k**2 + 8*k - 2. Let j be c(-6). Let a = j + 30. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2.91 and -3572.\nAnswer: -3574.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - 100322211?\nAnswer: -100322210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 226253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g - 7. Let r be f(-7). Suppose 3*v + r*m - 2*m - 10 = 0, 4*m = -3*v - 2. Solve v*s - 3 = 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + 51 - 0 - 31. Let f(w) = w**2 + 11*w + 39. Give f(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**5\/5 + 52*l**4\/5 + 386*l**3\/5 + 624*l**2\/5 + 288*l\/5.\nAnswer: 2*l*(l + 1)**2*(l + 12)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qdq when three letters picked without replacement from {d: 9, a: 5, l: 2, q: 2}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 7  (b) -5  (c) 80  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -6*w - 13. Determine h(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2409761, 4819528, 7229295, 9639062, 12048829, 14458596?\nAnswer: 16868363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 563367060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -23765532, -23765544, -23765556, -23765568, -23765580?\n\"Answer: -12*c - 23765520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -139 + 129. Let j(q) = -326*q - 97. Is j(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12 - 429964*j + 35486*j - 12.\nAnswer: -394478*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*t**3 + 23*t**3 + 1049*t**2 - 496*t**2 - 553*t**2.\nAnswer: 32*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28 - 3*o**3 + 118 + 1688*o - 48.\nAnswer: -3*o**3 + 1688*o + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 142*o + 325 + 382 = 0, o + 29 = a + 5*o + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2547*s - 107629 - 21249 = -34639 for s.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**1\/f)\/(f*f*f*f**(-3))*(f**(2\/7))**(-36) assuming f is positive.\nAnswer: f**(-65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 94, 153, 224, 313, 426, 569, 748?\n\"Answer: v**3 + 52*v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 99992825.\nAnswer: 5, 31, 129023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2093)\/(-414) - 5)\/((-2)\/(-8))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 92.0258 grams?\nAnswer: 92025800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 216790759 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u**4\/2 + 313*u**3\/2 + 32311*u**2\/2 + 31367*u\/2 - 31995 = 0. Calculate u.\nAnswer: -81, -2, 1, 395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2*w + 16. Let z be r(8). Suppose z = 4*u - 733 - 791. List the prime factors of u.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from jssojstsstjo.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (59\/(-1))\/((-2)\/2) is divided by ((-546)\/441)\/(16\/(-168)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:13 AM and 2:10 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00002163 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 656\/10 - 1\/(10\/(-4)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of v**4\/8 - v**3 + 4*v**2. Let n(m) = -5*m + 11. Let x(d) = -11*g(d) - 6*n(d). Let q(o) = -4*o**2. Give x(q(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5863 - 2778. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -f. Let g = 2 - 4. Let s be i(g). Find b such that -b**2 + 0*b**s + 0*b**2 + b**4 - b + b**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -171 (base 13) to base 11\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 + 32 = 15*j. Suppose x = 0, -2*a - j*a + 156 = x. What is the second derivative of 6*c + 14*c - a*c**4 - c**2 + c**2 wrt c?\nAnswer: -468*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 7*o**2 - 1. Let w be l(1). Suppose -18*t = -10*t - 32. Suppose 7*v - 3 = 5*j + t*v, 3*v - 3 = 0. Solve -2*n + w*n = j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 135 + -131. Put j, -1, 8, 3 in ascending order.\nAnswer: -1, 3, j, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**4 - 1530*w**3 + 179469*w**2 - 4775436*w.\nAnswer: -3*w*(w - 51)**2*(w + 612)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-7))\/(16 - 950\/60)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that w**3\/4 - 785*w**2\/4 + 59347*w\/2 + 29870 = 0.\nAnswer: -1, 206, 580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.22208 - -1.6223. Let i = j - -3.6. Round i to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + 0. Let z(q) = -33*q + 19. Let p(r) = -r**2 - 1. Let m(n) = k*z(n) - 5*p(n). Solve m(h) = 0.\nAnswer: -7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxrreix. Give prob of picking 1 r and 1 e.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 14*j*u**2 - 9*j*u + 59980*j - 3*u**2 + 27*u wrt u?\nAnswer: 28*j*u - 9*j - 6*u + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -226 + 251. Let v = k + -25.4. Which is the second biggest value?  (a) 0.03  (b) v  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(170)*-2*-3 - 4*(sqrt(170) - (2*sqrt(170) - sqrt(170))))*1)\/((-3*2*sqrt(120))\/(-1*sqrt(36)\/sqrt(3))) + 4.\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 75778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - v - 5, -4*g + 0 = 4*v - 4. Let a(o) be the first derivative of -3*o**2 - 1. What is a(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hkrrjrrjrhjkbjkjjrjk. What is prob of sequence rrk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -4*t - 1. Suppose -x = 2*h - 13 + 44, 0 = 2*x - 10. Let z be ((-2)\/(-3))\/(12\/h). Determine l(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s + 972 = 924 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -470 + 4222\/9. Is 0 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -114012 + -114311?\nAnswer: -233323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 37, 24, -47, -176, -363, -608?\n\"Answer: -29*q**2 + 74*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -149948*j**5 + 1109921*j?\nAnswer: -2998960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -6 - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -5*c + 14, d - 2 = -c - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (32\/3)\/(-4)*(-483)\/(-1610)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 - 2*p**2 - 12*p - 15. Let a be d(5). Let b(v) = 5*v - 7*v + a*v. Let u(n) = 5*n. Determine b(u(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w**3 + 15*w**2 - 17*w - 23. What is l(-16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + -2. Let w be 2 + ((-1240)\/9 - 1). Let m = -137 - w. What is the second biggest value in u, m, -2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 398\nAnswer: 3\/398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -133, -31 in decreasing order.\nAnswer: 2, -31, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o - 7. Let u be t(-3). Suppose -7*k + 35 = -u*k. Let z(d) = -11*d - d + 2*d + 3*d**2 + 7. Let w(x) = 2*x**2 - 7*x + 5. Determine k*w(v) - 5*z(v).\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 - 3*y**2 + 3*y - 5. Let d be b(-4). Let k(g) = g**2 - 4*g - 1. Let a be k(3). Suppose -o = -0 - 5. Sort d, a, o.\nAnswer: a, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m**3 + 8*m**2 - 5*m - 9. What is c(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8577068nm in meters?\nAnswer: 0.0000000008577068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 226245585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*o + 491 - 365. Let q = -278 + 488. What is the greatest common factor of q and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 4*q**3 - 6*q + 6. Let s(k) = 13 - k**2 + 2*k**2 - 12*k + 9*k**3 - k**2. Let z(t) = 13*i(t) - 6*s(t). Find the second derivative of z(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 88?  (a) 0.1  (b) 1  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of d**6\/240 - d**4\/24 + 2*d**2. Let n(s) be the second derivative of b(s). Calculate n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(684) - (sqrt(684) - (1 + sqrt(684) + -1 + sqrt(684))) - sqrt(684))**2 + sqrt(684))*3*-6.\nAnswer: -12312 - 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 2*y = -6*y. Is y less than or equal to -2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((3 - 3)*-1)\/2. Let u = 2 - 0. Let m be 1\/(3 - (u - 0)). Solve -3*j - m = -c*j - 4*v, -5*j + 5*v = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**2 + 10960*d + 10958.\nAnswer: 2*(d + 1)*(d + 5479)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**2. Let f(p) be the third derivative of -11*p**5\/60 + 4*p**2. Calculate c(f(h)).\nAnswer: 242*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*j + 10*j + 176 + 294 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes after 10:58 AM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 4543.217t?\nAnswer: 4543217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the first derivative of -4*y**6\/3 - 11*y**2\/2 - 14. What is the second derivative of a(g) wrt g?\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 17365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*h + 15*h + 3315 = 113*h for h.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/1245 and -9\/2822?\nAnswer: 42330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y**2 - y - 2. Let j(u) = 21*u**2 - 6*u - 15. Let o(n) = 4*j(n) - 27*r(n). Find d such that o(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 1  (b) -1  (c) 1\/77  (d) -4  (e) -14  (f) -20  (g) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(340)\/(-2*sqrt(10)))\/(sqrt(2) - sqrt(200)))**2.\nAnswer: 17\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (15 + -7)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66\/1*387\/1419.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6805567177?\nAnswer: 17, 1291, 310091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 235871 divided by -835\nAnswer: -235871\/835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**0)**(-1\/7)\/(v**4)**14 assuming v is positive.\nAnswer: v**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 30.204 + -11.3. Let u = -67.204 - -67. Let w = u + o. Round w to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*g - 45 - 25 = -7 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -220 = -9*c + 4*c. Suppose -41 = -2*l - 5*a - 5, 3*a = -2*l + c. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -7*a**2 - 3*a + 5. Let p = -3 + 5. Let l(g) be the first derivative of -g**3 - 1\/2*g**2 + p*g - 2. Calculate -2*d(o) + 5*l(o).\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -347265*a + 0*a**2 + 347265*a - 2*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 100*p**2 - p - 10. Let b be s(-2). Calculate the highest common divisor of 56 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -4.947  (c) 1  (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 812, 892, 972, 1052?\n\"Answer: 80*v + 732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103083186?\nAnswer: 2, 3, 883, 19457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 113*o - 176. Let r(y) = -339*y + 531. Let n(i) = 7*p(i) + 2*r(i). What is the hundreds digit of n(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1132*j**2 + 974 wrt j.\nAnswer: -2264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 4 and -0.579818907934?\nAnswer: 4.579818907934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3074896 to the nearest integer?\nAnswer: 1754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*y + 9036 = 13*y - 3*w, 0 = -3*y - 4*w - 13552. Let g(o) = 244*o**3 - 2*o**2 - o - 4. Let z be g(3). Let v = z + y. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 12802 by 37.\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 886250179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 3*o. Let h(u) = 55*u**2 - 4*u**2 - 16*u**2 + 39*u**2. Give h(n(l)).\nAnswer: 666*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the first derivative of 3*l**4\/4 - 4*l**3\/3 - 2*l + 60. Let i be f(2). What is the greatest common divisor of i and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 852645 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(1 + sqrt(3))*2 + sqrt(192) + 3 + (3*sqrt(192) - sqrt(192)) + sqrt(192))**2.\nAnswer: 684*sqrt(3) + 4413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4b558 - -15b8?\nAnswer: -49b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 1)*(((g + 1 - 1)*(0 + 0 + 2) + 3*g - 3*g - g + 4*g - g - g)*(g**2 - g**2 + 2*g**4) + (-18*g**3 + 10*g**3 + 26*g**3)*(g**2 + 6*g**2 - 3*g**2)).\nAnswer: -156*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-18)\/(-21)*-1*28\/(-4). Solve -2*b - 14 = -k for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*m**3 + 20*m**2 - 15*m.\nAnswer: -5*m*(m - 3)*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the third derivative of 25*p**4\/24 - 11*p**3\/3 - 12*p**2. Find the first derivative of u(t) wrt t.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1997 is divided by 39.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 907041.\nAnswer: 3, 19, 15913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + 4. What is the tens digit of 150\/i*12\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 6*y - y. Let v be (-185)\/(y*5\/190). Let x = v + 2162. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-6*-4*(1 + sqrt(125))**2 + sqrt(125) + (sqrt(125) - (sqrt(125)*2 - sqrt(125))) + -2 + (3 + -1 + sqrt(125))**2).\nAnswer: 1590*sqrt(5) + 18906","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: What is 202 (base 4) in base 13?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = z - 28, -67*k + 7*z = -63*k + 16. Which is the third smallest value?  (a) k  (b) 0.2  (c) 1.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 - 0.3. Let s = 18.1 - 16.1. What is the nearest to 2\/3 in s, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 2*r + d, -5*r + d - 27 = 3*d. Let c = 2 + r. Let k(f) = 3*f + 1. Let p be k(-1). Which is bigger: p or c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -133301148.6478 and 14.\nAnswer: -133301134.6478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 200330 (base 4) to base 15.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -13 + -1547106?\nAnswer: -1547119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fzkaxxgaakzffa. Give prob of picking 2 a and 1 x.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 18 = -4*b, -5*b - 5 = 4*q + q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 736256842 a multiple of 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5, v: 2, k: 2, t: 3}. What is prob of picking 2 r, 1 t, and 1 k?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -274*d - u = -273*d, 3*d + 1 = -4*u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*x + 13*x - 8. Let b(u) = 2*u**2 - u - 3. Let t be b(x). Find the second derivative of 11*a - a**2 + 14*a**2 - t*a**2 wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 77 - 44. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((32\/(-6))\/4)\/(477\/(-25758)). Solve 220 = -z*f + 17*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-2)*(16 + 0). Let n = k + 13. Is 1\/(1 + n\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58563 is divided by 991.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 15747688939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**4\/7 + 20*j**3\/7 - 148*j**2\/7 + 208*j\/7.\nAnswer: j*(j - 4)*(j - 2)*(j + 26)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12 and 67944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -510*r**6 + 1105*r**2 - 51547*r**3 + 51547*r**3 wrt r?\nAnswer: -61200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 + 7*o**2 + 11*o - 5. Let s be x(8). Suppose 0 = -d + s + 5. Calculate the highest common divisor of 3 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 148886002?\nAnswer: 2, 37, 2011973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -13, -29 in decreasing order.\nAnswer: -1, -13, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 437845?\nAnswer: 5, 67, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 5*c**2 + 7*c. Let d(r) = -2*r**2 - 3*r. Let v(q) = 7*d(q) + 3*x(q). Let k(g) = -68*g + 1. Give v(k(y)).\nAnswer: 4624*y**2 - 136*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 78044 and 86764.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is u in 25*u**4 + 20*u**3 - 221*u**2 - 180*u - 36 = 0?\nAnswer: -3, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -13978*g**2 + g + 63663 wrt g.\nAnswer: -27956*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5111983 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*w**2 + 13 - 5 - 8.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 196 - 1370\/7. Let u be -1 + -1*4\/2. What is the second smallest value in u, t, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -192 = -4*q - 32. Suppose 3*g = -2*f - 2*f + 60, -5*f + 5*g + q = 0. Is 12*f\/9 - 1 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -16. Suppose -5*d = -s*d + 49. Let z = 51 + d. Solve z + 2 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1404)\/15912*(12\/(-18) - 5 - -5).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 1:58 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -42*i + 50*i - 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 3)*(2*k + 3*k - 3*k) + (-5 + 0 + 4)*(4*k + 3*k - 4*k) + 4*k - k - k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 14519 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 28*z - 2. Let x be v(-2). Let n = 17 - x. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -558*g - 40198. Give u(-73).\nAnswer: 536","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -23*u + 17*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/1863276 and -133\/693312.\nAnswer: 29812416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) 4.8  (b) -1  (c) -185.2  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 4*q + 19. Calculate y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10852893\/148 - -73330. Let n = q + 4\/37. Put n, 2, -0.7 in ascending order.\nAnswer: -0.7, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 6 = 15. Calculate the least common multiple of 1 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 + 1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -35818742, -143275048, -322368898, -573100298, -895469254?\nAnswer: -1289475772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v*v*v*v\/v**(-7)*v**(2\/7)*v\/((v\/v**3)\/v)*v**(1\/2)*(v*v\/(v*v**(1\/5)))**44\/(v**(-2\/9))**(-19\/2) assuming v is positive.\nAnswer: v**(30791\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2632a (base 15) to base 5.\nAnswer: 12402330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) - (sqrt(17) - ((sqrt(68) - (0 + sqrt(68) + sqrt(68))) + sqrt(17) + sqrt(17)))**2 - sqrt(17)) + 6*sqrt(68).\nAnswer: -17 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*u - 5*u = -27*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-45)\/(-450))\/((-48)\/15)?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5775726 to the power of 1\/2, to the nearest integer?\nAnswer: 2403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/3  (b) 2\/3  (c) 3\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 0 = -3*l + 3, 16 = 2*w - 4*l. Suppose 5*u = w*u - 19. Solve 0 = j - o + 1 + 2, -2*j + u = 3*o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -10, -18\/5, -10\/13?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 11*i - 60. Give f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + -6 - -3) + 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 4, a: 3}. What is prob of picking 1 a and 2 j?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 12*y - 2. Let s(b) = -2*b - 4755. Calculate o(s(u)).\nAnswer: -24*u - 57062","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -6*g - 11. Let i(n) = -7*n - 12. Let t(x) = 5*i(x) - 6*v(x). Let m be t(-3). Let z(p) = 3*p**2 - 4*p - 1. Give z(m).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0 = 2. Which is greater: -1\/16 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -103053*0.3.\nAnswer: -30915.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 38468.88ng to tonnes.\nAnswer: 0.00000000003846888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*t - 4*t - 21. Suppose 226*f - 227*f = -t. Suppose -180 = f*w - 666. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of -837*h**8\/112 + h**5\/10 - 269*h**3\/6 - 121*h**2 + 4*h. What is the third derivative of b(x) wrt x?\nAnswer: -150660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110634777 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 372093357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 402 minutes after 4:19 AM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 41, 49, 57, 65, 73, 81?\n\"Answer: 8*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(60)\/(sqrt(10) + (sqrt(100)*-3)\/sqrt(10)))\/(6*sqrt(8) + sqrt(10)\/(sqrt(5)*2)).\nAnswer: -sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -104 + 44. Let y be 10*-6*4\/u. Suppose -3*v - 8 = 3*r - 98, -5*r - y*v + 147 = 0. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -152798 - -764032\/5. Determine u so that 48*u - 40 - i*u**2 + 2\/5*u**3 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -3*g**2 + 24*g - 17. Give m(9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -57 + 54. Is (-483)\/(-1) + (o - (-1 - -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1b + -1b?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s**3 + s**3 - 2*s**3)*(3*s + s + s + (3 + 3 - 7)*(-4*s + 4*s + 2*s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 8*g**2 + 48*g - 284. Let y be o(7). Let i be -1 + 1 + 1\/(-1). Let p = i - -1. Sort y, p, -2.\nAnswer: -2, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/(-9)*(-42)\/4. Let i(p) = -4*p - 19. Let f be i(-8). Suppose -v*n - 48 = -f*n. Calculate the remainder when 14 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - 156 = -3*q + 2*q, 5*t = -5*q + 840. Let k(g) = -2*g + 8. Let p be k(3). Let z(c) = q*c + 7*c**p - 3 + 0 + c**3 - 157*c. Determine z(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 113\/672 and 67\/15?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 3204 and 45.\nAnswer: 16020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 1 p when three letters picked without replacement from eeeepepeeepeeeepeep.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (8\/3)\/(3\/9). Let f be (-4)\/h + (-5839)\/(-14). Let y = f + -414. Find the common denominator of -51\/10 and y.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3436 divided by -31.\nAnswer: 3436\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*z + z + z)*(z**2 - 4*z**2 + z**2) - 2*z**3 + 1 - 1 + z**3 + 3*z**3 - 3*z**3 - 1 + 1 - z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 less than -7.45?\nAnswer: -7.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*k - 26*k = -116*k - 2356 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13401 + 2?\nAnswer: 13403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 - -22 - (1 + -4 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21260 divided by -1535.\nAnswer: 4252\/307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 - -22. Let x = p - 16. Is 2\/3 - 283\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 194 + 4b3?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 11778900 divided by 2765\nAnswer: 4260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:39 AM and 6:48 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -123aa88 + 34?\nAnswer: -123aa54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -1849*j**2\/2 + 829169*j - 371834089\/2 = 0.\nAnswer: 19283\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**2 - 11636*y = 0. What is y?\nAnswer: 0, 5818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117 = -112*t + 341. Let a(b) be the second derivative of 5\/3*b**3 + 34*b + 0*b**t + 0*b**4 + 0 + 1\/10*b**5. What is the second derivative of a(g) wrt g?\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 45 = 4*t, -5*t - 218*w = -219*w - 20 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -18 divided by -1313237\nAnswer: 18\/1313237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 483*b + 1. Is o(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/6*(-224)\/35\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3 + (9 - -2)\/1. Calculate the highest common divisor of d and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-9)*q*q**0*q)**(-3\/17) assuming q is positive.\nAnswer: q**(21\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -2735, -5468, -8201?\n\"Answer: -2733*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 105, -0.2, -75, 1?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 12 = 4*p. Sort 4, p, -1, 5.\nAnswer: p, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 4*u = 5*p - 85, -4*p + u = -83. Suppose 0 = 5*i + h - 308, -7*i - 2*h + 40 = -6*i. Calculate the greatest common factor of i and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 390551018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -2102003100 (base 4) in base 12?\nAnswer: -24a240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 12801 divided by -6\nAnswer: -4267\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - ((10 - (-1 + 4)) + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-1 + (sqrt(4400) + -5*(sqrt(4400) + 1) - (sqrt(4400) - (sqrt(4400) + (sqrt(4400) + 3*(1 + sqrt(4400) - sqrt(4400)) - sqrt(4400))))) + 2))**2.\nAnswer: 5760*sqrt(11) + 2534436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/d**(1\/5))\/(d**(-6)\/d*d)*(d**1)**(-1\/18) assuming d is positive.\nAnswer: d**(607\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**4 - 4*l**4 + 5*l**4)*(-287 + 52 - 75).\nAnswer: 310*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -8. Calculate the remainder when 56 is divided by z*((-38)\/4 + 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 214002665 (base 7) to base 6.\nAnswer: 1134513532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 8*l - 1. What is v(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -273783, -273978, -274173?\n\"Answer: -195*n - 273588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1381?\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.4 + 1.57. Let d = 1.17 - q. Which is the nearest to d?  (a) -0.4  (b) -3\/7  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + -9 - (53 + (-3000)\/24)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(6)\/sqrt(2)*-4.\nAnswer: -4*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 368 and 40940.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-2 + sqrt(50)*-6 - (sqrt(800) + sqrt(800) + (3 + sqrt(800) - sqrt(800))))**2 + -5.\nAnswer: 700*sqrt(2) + 9822","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17850 is divided by 1784?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3806501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -24 + 17. Let h(v) = 5*v**2 + 2. Let j(u) = -3*u**2 - u - 1. Let c(g) = 4*h(g) + 7*j(g). Calculate the least common multiple of c(a) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/((-4)\/(-10)))\/((-6)\/(-2)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = 2*w + 3*h - 451, 5*w - 2*h = 1125. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (c**2 - c**2 - 2*c**2)*(-2*c - 3 + 3)*(9 + 2 + 5).\nAnswer: 64*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20062.7 + 20063. What is the closest to 0 in 1\/9, -0.02, b?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 55 and 2805?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2221938528 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 777 + -772. Let f(u) = -u**3 + 15*u**2 - 16*u + 30. Let m be f(14). Solve 0 = -o*p - r - 23, m*p = -0*p + 5*r + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7176370 and 335?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 34797, 34816, 34835, 34854, 34873?\n\"Answer: 19*s + 34778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 36*k**3 - 12046*k**2 - 1052171*k wrt k?\nAnswer: 216*k - 24092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wgw when three letters picked without replacement from {g: 4, w: 10}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 23 = 1. Let j be c\/(-9)*(-2)\/16. Let w = 0.76 - 0.66. Sort w, 0, j, -5 in descending order.\nAnswer: w, 0, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2588 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2\/5  (b) -3  (c) -30  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2*d**4\/3 - 964*d**3 + 671486*d**2\/3 - 11255472*d - 90084960 = 0.\nAnswer: -1655, -7, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 8\/21 of a week?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1232432 (base 6) in base 13?\nAnswer: -24482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1791 - -2078. Calculate the highest common factor of c and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - -5) + (-414 - -383) + -10\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 39 + -39. Let x = 1 + -2. Sort x, q, -2.\nAnswer: -2, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 3550 = -3*x - 1412, 3*a + 4*x - 4983 = 0. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -29111356\/5 or -5822271?\nAnswer: -29111356\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*m + 209*m = -5*m + 3781070. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 1 + 6*q + 4*q**2 + 2 + 3*q**3 - 9 + 0*q**2. Is u(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -69 + 69 + 203503*g**2.\nAnswer: 203503*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 35474489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-5) + (-48)\/(-15). Suppose 4*n + l + 5 = 0. Let g be 21 + n - (8 - 7). Solve -4*k + g + 2 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 161*z - 2566*z - 1958*z.\nAnswer: -4363*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000086 to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 709.5922 millilitres?\nAnswer: 0.7095922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 6 + 4 + 2*j**2 - 9*j - 3. Suppose -53 = -5*n + 2*h, 3*h = 3*n - 32 - 7. Calculate the remainder when b(6) is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -193529, 0.3, -5, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14861 is divided by 125.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, l: 2, v: 1, a: 1, y: 3}. What is prob of picking 2 l?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 76.582ml?\nAnswer: 0.076582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 423 and 1128.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 64*u - 161242 = -160794 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25 = -7*t + 67 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 46415 and -302.547.\nAnswer: 46112.453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/6)\/(1\/(-9)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 15 = 1. What is the least common multiple of (-108)\/(-24) - 10\/4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/v**(1\/4)*v))**(7\/6)\/(v**5\/(v**(11\/2)\/v)) assuming v is positive.\nAnswer: v**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/((-7035)\/6)*(1434\/5019)\/(6\/21).\nAnswer: -2\/335","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:10 PM and 8:19 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 7 = -4*q, 0 = -5*m - 75*q + 72*q + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6785*-2415.\nAnswer: -16385775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of -i**4\/6 + 99*i. Let a(w) = -w**2 - 7*w + 7. Let s(k) = k - 1. Let p(t) = 5*a(t) + 35*s(t). Calculate p(o(l)).\nAnswer: -20*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*w - w - 5640. Let c = 16946\/9 + w. What is the common denominator of 103\/14 and c?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -74  (b) 3\/8  (c) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6b4371 (base 12) in base 4?\nAnswer: -12212000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49771.42ns to microseconds.\nAnswer: 49.77142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3619 - -90491\/25. Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 368669 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 310 divided by 1\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y - 35 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -6*c - 167853. Let h(o) = 3*o. Give r(h(j)).\nAnswer: -18*j - 167853","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 2:33 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -101\/120 and 87\/314860?\nAnswer: 1889160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nwwnwnjwjwnnj. What is prob of sequence wnjw?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = b**3 + 2*b**2 + b + 1. Let u be o(-1). Calculate the greatest common factor of 19 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f**2 + 0*f**2 + 3*f**2 + (-4 + 4 + 2*f)*(3*f + 4*f - 5*f))*(-2*f + 2*f - 3*f)*(-9 - 26 + 13).\nAnswer: 462*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1256, 1261, 1266, 1271, 1276?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the second derivative of v**4\/36 - 94*v**3\/9 + 4418*v**2\/3 - v - 117. What is m in y(m) = 0?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.6*-2.6.\nAnswer: 6.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*q**6 - 26*q**4 - q**2 - 54 wrt q?\nAnswer: -600*q**3 - 624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 1056*d. Let n(f) = f. Determine -220*n(j) + 5*x(j).\nAnswer: 5060*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*u**2 - 174*u**2 + 13*u**2 to g + w*u + k*u**2 and give k.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 970164 is divided by 5053.\nAnswer: 5041","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, v: 1, p: 1}. What is prob of sequence dd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 + -26 - (-29 + -4 + -1 + 3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*t - 14*t - 12 = -5*n, 0 = 4*t - 2*n - 12. What is the third derivative of p**2 - 63 - 23*p + t*p**3 + p + 63 wrt p?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(6)\/sqrt(3) + 3 + sqrt(22)\/(sqrt(11)*-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 36 and 760?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = c - 12, 3*c = -x + 11. Let l(o) = -o**3 - 5*o**2 + 4*o - 5. What is the smallest common multiple of (1\/(-2))\/(x\/(-24)) and l(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (26 + -38 - (-1 - 11)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 77116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 2, -45, -166, -391, -750, -1273, -1990?\nAnswer: -2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -13*r**4 + 11*r**3 + 13*r**2 + 9*r - 5. Let s(y) = -6*y**4 + 5*y**3 + 7*y**2 + 4*y - 2. Let f(q) = -6*o(q) + 15*s(q). Factor f(b).\nAnswer: -3*b*(b - 2)*(b + 1)*(4*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-18)\/12*(-4)\/(-18)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 570 + -560. Let z = 2.6 + -3. What is the nearest to w in -2, -1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -191*b**3 + 8110*b**2 + 15*b**4 + 111*b**3 + 245*b**3 + 85*b**3 wrt b?\nAnswer: 360*b + 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s = -8, 3*r + 64*s = -8*s - 18*s + 86*s - 49 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in nineteen quarters of a meter?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -3216*y**2 + y - 149 + 153 + 3219*y**2 as q*y + v + c*y**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-2\/13)\/g**(-4))\/((g*(g**(-2\/7)\/g)\/g*g*g)\/g)**(-3\/31))\/(g\/(g**(-1)\/g)*g**8*g**(-6)*g**(-3\/7)) assuming g is positive.\nAnswer: g**(-2124\/2821)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 13*k - 2. Let s(m) = -12*m + 2. Let q(a) = -5*i(a) - 6*s(a). What is q(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide 250094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -277*g + 237*g - 678 + 151 + 152 + 376.\nAnswer: -40*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(3\/2))**(9\/4)\/((a\/((a**(6\/7)\/a)\/a))\/(a*(a**(-8)\/a)\/a*a)) assuming a is positive.\nAnswer: a**(-631\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m - 4. Let j be k(-5). Let w = -7 + j. Is (-2)\/(-1)*(-201)\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 11623 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-1)\/(-8))\/((-3)\/(-6)). Let x = -6 - -6.3. What is the closest to -2 in x, -0.5, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-152)\/(-950)*5\/14*-10?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 925672, 3702683, 8331034, 14810725, 23141756, 33324127, 45357838?\nAnswer: 59242889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19143, -19139, -19135, -19131?\nAnswer: -19127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 3*l = 2341 - 150, 0 = 4*o + 2*l - 2166. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/14 and -47\/154.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -2*z**5 - 50480*z**4 - 403742*z**3 - 756952*z**2 + 201896*z + 1009280 = 0.\nAnswer: -25232, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*t**2 - 2*t**2 - 6*t**2)*(-33*t**3 + 20*t**3 - 4*t + 12*t**3).\nAnswer: 2*t**5 + 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f**2 - 4091*f - 1803. Let n(v) = -2*v. Give n(s(h)).\nAnswer: 4*h**2 + 8182*h + 3606","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 4 - 6 + 1 + 3*x. What is the remainder when b(3) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*c)*(2*c**3 - c**3 - 3*c**3 + (-2 + 4 - 3)*(-5 + 24*c**3 - 19*c**3 + 16*c**3)).\nAnswer: 46*c**4 - 10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 681 divided by -10?\nAnswer: -681\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (57 - (11 + 45)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - (31 + -4)) + 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/237314 and 109\/20?\nAnswer: 2373140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(7 + 90\/(-10)). Solve -3*x = -d*s - 12, -7*x + 8 = -3*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2054 is divided by 675.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 1 - 13*p**4 + 2*p**2 + 4 + 4*p**4 to the form x*p**4 + s*p**2 + k + j*p**3 + a*p and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2249, 4716, 7183, 9650, 12117?\nAnswer: 14584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 688\/5 - 137. Let n(y) be the first derivative of 0*y**4 + a*y**5 + 0*y + 0*y**2 - 2\/3*y**3 - 1. Find the third derivative of n(g) wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -11 - 29. Let l = 39 - 41. What is the lowest common multiple of g and (-12)\/(-8) + 1\/l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((64\/12)\/(-4))\/((-8)\/12). Let x be ((-2)\/(-2) + -6)\/(-1). Suppose x*u = 3 + 7, -i*w = 3*u - 10. Calculate the lowest common multiple of w and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k = 3*k + 434. Is (k\/14)\/((-1)\/2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/24*(-12)\/(-30). Let q = -13\/60 - h. Let l = -1 + 0. What is the closest to l in -1, -2, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 10, g: 4, x: 5}. Give prob of picking 3 a.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -32, -22 in ascending order.\nAnswer: -32, -22, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3025, 3016, 2995, 2956, 2893, 2800, 2671, 2500?\n\"Answer: -f**3 - 2*f + 3028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-242)\/(-14) - (-8)\/(-28). Let w = 12 - o. Let k = 28 + w. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**2 - 7*h + 10. Suppose -3*s + 15 = -8*s, -4*m + 5*s = 21. Calculate q(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1394558 is divided by 697248.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*sqrt(143)*-1 + sqrt(143))\/((sqrt(704) - (sqrt(704) + (sqrt(704) - 2*sqrt(704)) - sqrt(704))) + sqrt(704) - sqrt(704)))**2.\nAnswer: 117\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 253.06+-35670562967\nAnswer: -35670562713.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.31 + -17.69. Let w = 566 + -583. Let p = w - t. Is p at least -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 58922 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**2 + 15*l + 58. Let h be g(-9). Let z(d) = -d**2. Let b be z(0). Suppose -n = -b - 3. Put n, -4, h in decreasing order.\nAnswer: h, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1226367427 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q + 1. Let r(t) = -3*t**3 + 1. Let s be 2\/4 - ((-18)\/4)\/(-3). Let c be r(s). What is n(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4393194 a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 983545 divided by -196709?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-121)\/(-11) - (-5)\/((-20)\/24)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104*m - 58 = -101*m + 5*h, -45 = 5*m - 2*h. Let z(g) = g + 14. Give z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + (0 + -2 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(3) - (sqrt(3) + 2*sqrt(192))).\nAnswer: -16*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83 + 934*f - 1202*f**3 + 83 + 912*f - 1846*f.\nAnswer: -1202*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19 + -35. Let y = -32 - w. Let v be y\/(-42)*(-15)\/(-20). Sort v, -0.4, -0.1 in decreasing order.\nAnswer: v, -0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 15 - 10 + 6*z**3 - 2.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 19*l**4 - 10*l**2 - 4*l + 98. Let z(j) = 37*j**4 - 20*j**2 - 7*j + 197. Let k(m) = -7*a(m) + 4*z(m). What is the first derivative of k(o) wrt o?\nAnswer: 60*o**3 - 20*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3+538882\nAnswer: 538882.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3111331?\nAnswer: 3111331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, m: 5, p: 1, t: 3, k: 1, i: 2}. Give prob of sequence tkmm.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-1\/23)\/(q**(-8)\/q) assuming q is positive.\nAnswer: q**(206\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-2))\/(((-1170)\/(-270))\/(13\/6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-5 + sqrt(1700) + 1 + sqrt(1088)*2 - (-3 + sqrt(170)\/(sqrt(10)*-1) + -2*sqrt(68)))**2.\nAnswer: -62*sqrt(17) + 16336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -1*(177\/(-7))\/3. Let v = 42079 + -42071. Which is greater: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 5*w - w)*(-25 + 13*w + 12 + 6) - w**2 + 3*w - 3*w.\nAnswer: 25*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144741 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/7  (b) 0.1  (c) -0.27  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (37 - 29 - (5 + 2))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 35423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -10*m**3 + 93*m**2 - 10*m - 9. Give w(10).\nAnswer: -809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48)\/(-4)*(8\/(-6) - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -1993.08 and 854.\nAnswer: -1139.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 438.146 + 1.5.\nAnswer: 439.646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the first derivative of -v**5\/5 - 4*v**3\/3 - 9. Find the third derivative of c(d) wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3*u + 12. Let k(w) = 2045 - 1138 - 896 + 2*w. Give 4*k(o) - 3*s(o).\nAnswer: -o + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, -18, -46, -78, -108, -130, -138, -126?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -t. Let i(b) = -b. Suppose 5*q + 5 = -0. Let j(g) = 5*g + 5*g**2 + 3*g - 3*g**2. Let d(l) = q*j(l) - 8*i(l). Calculate a(d(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*v + 112 = 32*v. Suppose c + 3*x = -2*c, x - 5 = -2*c. Suppose -c*i + 12 = -13. Calculate the remainder when v is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -16*y + 10*y - 9*y**2 - 4 + 6*y with respect to y.\nAnswer: -18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1.1  (b) 0.1  (c) -651  (d) 12\/7  (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + -2 + 5 + -1 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1.1 and -0.1.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zuzuzzz. Give prob of picking 2 z and 1 u.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nine halves of a litre?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate (6\/16*(-64)\/48)\/((-9)\/(-18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 95.31592km in nanometers?\nAnswer: 95315920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of -7*d**6\/36 - d**5\/6 + 33*d. Factor v(h).\nAnswer: -5*h**3*(7*h + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -615.6 - -550. Let z = f + 63.6. Which is the third smallest value?  (a) -3  (b) 1\/6  (c) z  (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the second derivative of 5*j**3\/6 + 5*j. What is the smallest common multiple of 12 and o(2)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6\/3*1 + 1. Suppose 22 - 55 = -y*q. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 443.3251l?\nAnswer: 443325.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 222622613 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + 3 + 0 + -1*sqrt(425))**2.\nAnswer: -70*sqrt(17) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 5:24 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 975*c = 994*c - 19 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.625 + -0.725. What is the nearest to m in 0.2, 1, 5\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -4\/3  (b) 0.53  (c) -29  (d) -3  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1482*o**2 - 741*o**2 + 2998235*o - 743*o**2 - 2998235*o.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 5*y - 66, -5*y = 2*c + 4 - 71. Suppose 8550 = 25*v + 74*v + 72*v. What is the remainder when v is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 divided by -29139\nAnswer: -2\/29139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 307, 609, 911, 1213?\nAnswer: 1515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nns when three letters picked without replacement from nannsnrnnannannsbn?\nAnswer: 55\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 224 = 16*j - 44*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, s: 2, r: 1}. What is prob of sequence rss?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9148 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2202*o**3*p + o**3 - 3*o*p**2 - 36*p**2 + 41*p wrt o.\nAnswer: 6606*o**2*p + 3*o**2 - 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -2, -6, 0.1, 22, 0, 2\/3, 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1606, 1620, 1638, 1660, 1686, 1716?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -261*x + 549*x = 271*x + 1003. Let k = -704 + 1054. What is the remainder when k is divided by x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 59.99999961 + -60. Round s to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-87)\/(-12)*(-2 + 10). Suppose 6*l + k = 9*l + 4*i, 6 = l - 2*i. Is 348\/7 + (0 - l\/(-49)) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 3520.535 to the nearest 100.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13944 and 218904.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18408635 is divided by 73050.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of i**6\/120 + 47*i**5\/60 + 13*i**4\/4 + 53*i**3\/3 - 286*i**2. Is k(-33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*v**4 - 4 + 0 + 2*v**3 + v**2 + 2 + 5*v + 37*v**4 - 17*v**4 to the form y + x*v + q*v**3 + r*v**2 + b*v**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -628578.2 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 22493 = -5*a + 93527, -3*a - 3*w = -69585. What is a rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2325477 to the power of 1\/2, to the nearest integer?\nAnswer: 1525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -4, 0.4, -873, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a**(17\/3)*a)*a)\/a*a)**(-26)\/(a\/(a*a**(21\/4))*a**(-1\/9)) assuming a is positive.\nAnswer: a**(4561\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9925 - 58715 = -3718*g + 17785 + 28833 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) be the second derivative of 6*d - d**3 - 2*d + d. Let i(w) = 2*w**2. Calculate l(i(t)).\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(2\/(-9)*(-270)\/315*28\/8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 13 + 3*g**2 + 22*g**2 - 2.\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -145 + 324. What are the prime factors of r?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 6, o: 1, m: 3, f: 2, j: 1}. What is prob of picking 2 w and 1 m?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 5  (c) -0.5  (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1  (b) -1\/5  (c) 0  (d) -35  (e) 5\/6  (f) 0.35\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1021, 1994, 2961, 3922, 4877?\nAnswer: 5826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -203 + 205. Let c(n) = -17*n + 13*n - a*n. Let h(s) = 0*s + 3 + 3*s - 3. Calculate c(h(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21.7 + -21.7. Which is the closest to f?  (a) 0.8  (b) 5  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 783 and 290.\nAnswer: 7830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of 365\/3*i**3 + 90*i**2 + 135\/2*i**4 + 4 + 13*i**5 + 20*i. Suppose t(r) = 0. Calculate r.\nAnswer: -2, -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64436 divided by 64436?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -5*j**3 + 3*j**2 + 3. Let k be ((-1)\/3)\/((-610)\/(-120) + -5). Let q(d) = -4*d**3 + 4*d**2 + 1. Let g(i) = k*q(i) + 3*o(i). Determine g(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 2*v + 5, -3*v + 5*v + 2*k = -8. Let d = -19.1 + -72.9. Let w = d + 92.3. What is the closest to v in w, 0.5, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b. Let l(t) = 4*t. Let p = -503 - -283. Let k = p + 230. Calculate k*f(v) - 2*l(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 3 - 3 = 0. Suppose -p = y*k, -2*k = -p - k + 4. Is 3 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138219*a**2 + 341975*a**2 - 488676*a**2 - 565127*a**2.\nAnswer: -850047*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express -481 + 240 + 545*c + 241 in the form x + u*c and give u.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 - ((27 - (-625)\/(-25)) + 0 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 293, 586, 879, 1172?\n\"Answer: 293*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13 + -12. Which is smaller: p or 3\/23?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 3 - 1. Find the third derivative of 5*y**2 + 4*y**6 + h*y**6 - 11*y**2 wrt y.\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 16927 - 16928. What is the closest to 3\/14 in 0.5, 0.4, w, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1188032 and 333184?\nAnswer: 325520768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 266\/(-392) - 1\/(-4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.8 + -1.8. Let b = -3 + c. What is the smallest value in 1\/7, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 381 - 15 = 0. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 c when three letters picked without replacement from vhhvcvbhbcshcsbs?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 3*h = 3256, 0 = -x + h + 2477 + 777. Let w = -796 - -1733. Suppose -3*c + x = 3*t + w, 3090 = 4*c + 5*t. What is c rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 915 - 887 = 3*h, -3*h + 9 = 18*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -81 by -6.\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6*1 + (3447 + 1)\/8. Calculate the greatest common divisor of j and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*a + 150 = -65*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -4*v**2. Suppose -3*o - 15 = -3*l, 14 = -5*o + l + 1. Let j(n) = n**2 - 1. What is o*j(g) - r(g)?\nAnswer: 2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q - q + 3*q)*(-22 - 158 + 3 - 286).\nAnswer: 463*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k - 9*k + 168. Solve -15 = -k*j + 9*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17)\/1 + -9 + 35 + -21?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-80)\/(-12) + (-1)\/(-3). Solve -8*v + l*v = -5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that o**4\/8 + 11*o**3\/8 - 3*o**2\/8 - 31*o\/8 + 11\/4 = 0.\nAnswer: -11, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1399 + 563. Let c = k + -1390. Suppose -6*q + 8*q - c = 0. Calculate the greatest common factor of 26 and q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 3*n + 4. Suppose -3*l - 3*z + 0*z = 9, l + 3*z = 3. Determine h(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from buuywwyyuuuuwyyuyby. What is prob of sequence ybbw?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 33, -2\/3, 1 in decreasing order.\nAnswer: 33, 3, 1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 36455 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -16*l. Let s(t) = 31*t + 31*t + 27*t - 119*t - 7 + 31*t. Give s(z(h)).\nAnswer: -16*h - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3435299ng in kilograms?\nAnswer: 0.0000000000003435299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 125 a factor of 12875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 104\/(-13)*(45\/270)\/(2\/30).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.4, -4300, 0.11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 32 + -10. What is the remainder when 63 is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 784 is divided by 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2 - 0.1. Let k = 0.4 - f. Let q = 1.81 + -0.81. Which is the third biggest value?  (a) 0.5  (b) q  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - 21*c**2 - 24*c + 27. Let d be s(-20). Let a = d - 2035\/19. Suppose 0 = -j + 2*j. Which is smaller: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 373300?\nAnswer: 2, 5, 3733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u - 2 - 2 + 3 - 3. Let d(m) = -3*m + 13. Let o be (9 + (-342)\/36)\/(-3 - (-147)\/48). Give o*s(i) - 3*d(i).\nAnswer: i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 + 7 - 16)*(2*u + 20*u - 15*u)*(0 + 6 - 4).\nAnswer: -210*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 3 + 2*sqrt(68) + -1)**2.\nAnswer: 8*sqrt(17) + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -5*v, 7*d - 2*v - 1 = 6*d. Let a = -4 + 6. Put d, -12, a in descending order.\nAnswer: d, a, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(0 + (-2 - -3)). Suppose -5*n - 3*p + 18 = 0, 16 = 4*n + 8*p - 4*p. Let q = n - s. Solve -3*g - 2*g = -2*y + 25, -q*g = -4*y + 29 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1207.711105 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n**2 - 5*n - 4. Let g be x(4). Let h = 10 - g. Let d = -0.025 - 0.275. Which is the third smallest value?  (a) d  (b) h  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 (base 10) in base 16?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, v: 2, c: 4, q: 9}. Give prob of picking 2 c and 1 v.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 8 = 4*s, s - 44 = -p - 4*p. Let z be ((p\/(-3))\/2)\/(8\/(-12)). Suppose -z*t = -446 - 156. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, b: 6, u: 2, h: 1}. What is prob of sequence bcbh?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 11 = -2*h, 2*h - 5*f = -f + 12. Let k(o) be the first derivative of 3*o - h*o + 3 + 2*o**2 - 2*o. What is k(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + -275?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 175 a factor of 72511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2317782, 1, 15, 4 in decreasing order.\nAnswer: 15, 4, 1, -2317782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4070 is divided by 229?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 58880 and 230?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 + (-33 - -17 - (-5 + 6 - 6 - 4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 165288 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 3*m - 2. Let u be r(5). Let t be 75\/60 + (-2 - (-14)\/u). Sort t, -0.4, -36, -0.1 in descending order.\nAnswer: t, -0.1, -0.4, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 697967.9 meters to centimeters.\nAnswer: 69796790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*c - 4 + 7 + c**2 - 1 = 0. Calculate c.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 26 = -d, -7*d = 5*j - 2*d - 10. Let k(l) = -l - 14. Let z(w) = -4*w - 43. Let g(h) = -7*k(h) + 2*z(h). What is g(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of 5*f**4\/6 - 4*f**2 - 2*f - 5. Let a(t) be the first derivative of v(t). What is the first derivative of a(s) wrt s?\nAnswer: 20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w*w\/w**(4\/9))\/w*w)\/w)\/(w*w**(2\/13))*w**(5\/11)*(w**(2\/15)\/w)\/w assuming w is positive.\nAnswer: w**(-12937\/6435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25440 and 63880.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122 (base 4) to base 6.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + a**2 - 2 + (-a + 1 - 1)*(2*a - 5*a + a) - 5*a**2 + 2*a**2 + 2*a**2 + 17*a - 17*a + 13*a**2 as o + w*a + y*a**2 and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = f**3 + 19*f**2 - f + 14. Let n be r(-19). Let u = n - 45. Let g be 5 + 3*((-20)\/u + -2). Solve 4*j - 12 = 4*m, j + g*m - m + 17 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1122 and 57574.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 339216 divided by 296?\nAnswer: 1146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.02 - 0.63. Let h = -0.09 + u. Is h not equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18731 at most 18731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1, -3, -141?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 430272 divided by -2656?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (16\/3)\/((-2)\/(-6)). Let y be -2 + 1\/(6\/12). Suppose y = 8*s - 4 - 20. Solve 4*v - r = 2*a, s*v + 2*a = 6*v - 13 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 8*s**3 + 23*s**2 + 28*s - 37. Let t(q) = -3*q**3 - 8*q**2 - 10*q + 13. Let o(y) = -4*d(y) - 11*t(y). Determine o(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 219 and 758715?\nAnswer: 55386195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -13*v + 8*v + 9*n - 3*n + 134, v = 4*n + 80 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4974135*v + 65 = -4974140*v - 5*b, -83 = -v + 5*b for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4.925 + 0.075. What is the smallest value in -17, 0.3, -5, b?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is k in -8*k**4\/7 + 1084*k**3\/7 + 234*k**2 + 821*k\/7 + 137\/7 = 0?\nAnswer: -1\/2, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4*t**2 + 4*t - 7. Let f be b(-5). Let c(m) = -m + 6. Let p be c(6). Suppose 5*o + f = a - p*a, -102 = -2*a - o. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -12*m**2 - 1299*m - 1613. Give g(-107).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the second derivative of -n**4\/4 + n**3\/3 - n**2 + 4*n. Let k(s) = -7*s**2 + 4*s - 5. Give -5*f(l) + 2*k(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 - 9*w**2 + 2*w - 21. Let d be r(9). Let v = d - -4. Let p be (27\/(-12) + v)\/((-1)\/52). Calculate the greatest common factor of 26 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(931)*-1 + sqrt(931).\nAnswer: -35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(7 + -4 + 16\/(-5)). Let c be ((-12)\/14)\/(3*w\/(-105)). Let x be (c - (-66)\/12) + (-1998)\/4. Round x to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(228) - sqrt(228)*1*-1) + sqrt(228))\/(sqrt(12) - sqrt(192)*1))**2 - (-6*sqrt(133)*-2)\/(sqrt(343)*-2).\nAnswer: 6*sqrt(19)\/7 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -347*z**2 + 2*z - 143.\nAnswer: -694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 15921119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 3*s**2 - s + 2. Let g = -14 + 11. Let w be o(g). Suppose -122 = -w*u + 508. Calculate the greatest common divisor of u and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -677*q - 841*q + 1516*q + 688.\nAnswer: -2*q + 688","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-2))**(-1\/18)*((y*y**(-2\/11))\/y)**(8\/11)*(y**(-1\/5)\/y)\/(y**(-1\/4)*y*y)*(y**2)**(2\/33) assuming y is positive.\nAnswer: y**(-62071\/21780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 447695 - 1310730 = -9*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (596*f**2 + 5*f + 574*f**2 - 1116*f**2)*(f - f + 3*f) as w*f**2 + b*f**3 + u + s*f and give w.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 271*r. Let p(v) = v**2 - 30. Calculate p(c(q)).\nAnswer: 73441*q**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(11) - sqrt(22)\/sqrt(2)) + sqrt(11) + 1 + 5)**2.\nAnswer: 12*sqrt(11) + 47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3431 (base 8) in base 12?\nAnswer: -1075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (692\/3633)\/((-12)\/18)*161\/1?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-8)*-1)\/(((-8424)\/54)\/(-936)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 363 = 365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(1331) + 1)*1*-4)**2.\nAnswer: 12672*sqrt(11) + 767232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2\/749 or 0?\nAnswer: 2\/749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 AM and 7:46 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*b + 6*b + 11777 + 16546 - 3*b**3 - 21*b.\nAnswer: -3*b**3 - 2*b + 28323","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25407 is divided by 50?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c**3 + 5*c**2 - 5*c. Let r be (-34)\/(-6) + (-6)\/9. Suppose -5*a - r - 25 = 0. Determine k(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = -5*d + 11*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -13 + -11 + 14\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - z - 24 = 0. Solve -3*m = m + z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -381815*l + 2*w = -381818*l - 40, 3*l - 17*w - 454 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-228)\/(-171))\/(1\/3). Solve -5 = -s*y - 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 13*i**3*t**3 + 13*i**3 - 6*t**3 + 6*t wrt i.\nAnswer: 39*i**2*t**3 + 39*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x + 5. Suppose 5*g = -6*a + a + 35, 0 = -5*a - 4*g + 34. Let p(o) = o - 6. Calculate a*p(u) + 7*q(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -28890000 to the nearest one million.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -25*y + 6. Suppose 6*p - 10 = -22. What is the units digit of b(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4134 (base 7) in base 16?\nAnswer: 5a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -331.3 + 374. Let r = y - 43. Let i = -0.4 + 0.5. What is the nearest to 2\/5 in r, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -204 or -139?\nAnswer: -139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 128143262 less than 0.5?\nAnswer: -128143261.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -49 + 53. Suppose 0 = j*g - 20 - 8. Calculate the remainder when -3 + (-69)\/(-21) - (-516)\/g is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82291283189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -72*z + 2. Let x(l) = -36*l + 1. What is -6*s(t) + 11*x(t)?\nAnswer: 36*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -30*k - 5164. Calculate y(-168).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p + 10. Let z(w) = -7*w**2 - 7*w - 8. Let g be z(-3). Let v be (-5)\/g*6 - (-53)\/(-5). Give d(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -118957068 = -118957069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3064229 by 6.\nAnswer: -3064229\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 - 5*q**2 + 4*q**2)*(-3*q + 2*q + 0*q + (-2 + 2 + 2)*(q + 0*q - 2*q) + 3 - q - 3 - 3*q + 0*q + 4*q - 3*q - q + 5*q + 0*q + 4*q - 3*q).\nAnswer: q**3 + q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7.7 + -8. Let i = 5.992 - 2.692. Sort q, 2\/11, -4, i in ascending order.\nAnswer: -4, q, 2\/11, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*(-175)\/(-100)*(-6)\/28*(-2)\/(-2)?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 - -95137.854147112?\nAnswer: 95135.854147112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -4*r**2. Let h(y) be the second derivative of 5*y + 0*y**3 + 15\/2*y**2 + 1\/24*y**4 + 0. Let u(q) be the first derivative of h(q). Give u(m(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 4*v**3 - 6*v**2 - 3*v - 4. Is c(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 7\/71 and 31\/71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3130 + 3127. Sort -4, -1137, f in increasing order.\nAnswer: -1137, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-9)\/1)\/3)\/(18\/(-3))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6 + -11 + 1518\/90)*6. Which is smaller: 4\/11 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yssiwswsswsgggssgss. Give prob of sequence si.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 6*n - 4*n - 500, 0 = 5*n - 3*w - 1261. List the prime factors of n.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 307089 is divided by 740?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/15 - 4564\/(-2360). Let v = s + -2\/59. What is the second smallest value in 0.5, -1, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 634, 658, 700, 766, 862, 994, 1168?\n\"Answer: s**3 + 3*s**2 + 8*s + 622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1001303 + -10?\nAnswer: -1001313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1412288 and -0.113.\nAnswer: 0.0159588544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t + 15. Let g be p(8). Let q = g - 25. Is q*(-1)\/((-2)\/(-8)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-27 + 6)\/(2 + -3). Let y be 3\/(-7) - 8496\/i. Let g = 664 + y. Is g a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/5, 18\/5, -0.5, 2\/25 in decreasing order.\nAnswer: 18\/5, 2\/25, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1680 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 30837.304 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (40\/150)\/((-2)\/10).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 975 - 677. Suppose q - 1753 = k. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92721 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: (-16)\/(-14)*565\/4520\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -81\/88 and 27\/4007588.\nAnswer: 88166936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 196, -15, -23, 4 in increasing order.\nAnswer: -23, -15, 4, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -238254*q**2 + 454585*q**2 - 216336*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39364 is divided by 837.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 45*f**4 - 1122*f**3 + 4965*f**2 + 26796*f + 1764 = 0. What is f?\nAnswer: -3, -1\/15, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m - 4. Let t be k(6). Let w be (-94)\/(-14) - t\/(-7). Let y be w\/(-91)*(-1 + -1). Which is the third biggest value?  (a) y  (b) 5  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6231, -6225, -6217, -6207, -6195, -6181?\nAnswer: -6165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u + 22. Let y be h(15). Suppose -b - 2 = -y. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7500 and 907400.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (42\/1)\/(((-486)\/(-9))\/18).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2274 and 262014070.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 26, 70, 168, 344, 622, 1026, 1580, 2308?\n\"Answer: 4*j**3 + 3*j**2 + 7*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.024 and -8.7?\nAnswer: 8.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 6*l - 18. Let a(x) = -20*x + 5. Let f be a(l). Let p be 50\/126 + 10\/f. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u - 11. Let t(h) = -h**3 - 7*h**2 - 5*h - 7. Let n be t(-6). Let l be x(n). Let o = 22 - 12. Solve 5*i - 30 = -3*r - l*r, -5*r + o = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.53 - -0.47. Which is smaller: 1\/4 or v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -10958  (b) 9  (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 14525 and 63.\nAnswer: 130725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.402785 millennia in months?\nAnswer: 52833.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1219 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 177*s - 176*s + 0)*(-7 - 5 - 8).\nAnswer: -20*s - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 64, -2, -1 in decreasing order.\nAnswer: 64, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 17d (base 15) to base 7\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-29*w - 14*w + 54*w)*(-2*w**2 + 4*w - 4*w)*(6 - 16 + 1) in the form s*w + f*w**2 + p*w**3 + j and give p.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4240 by 10.\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11813 - 11820. What is the nearest to -1 in 0.05, w, -6, 2\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:01 PM and 10:21 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bybe. Give prob of picking 1 b and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 15) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**5 + 69*x**4\/4 - 133*x**3\/2 - 78*x**2 + 135*x\/2 + 243\/4 = 0. What is x?\nAnswer: -1, -3\/4, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - -858.\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -18088376*o + 11157354 wrt o?\nAnswer: -18088376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -a**2*n + 2*a**2*w**2 - 343664*a*n*w**3 - a - 84763*w**3 - 2*w**2 - 5*w - 2 wrt n?\nAnswer: -a**2 - 343664*a*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:06 PM and 6:05 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 58377308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 - -18. Let t be y*(-4)\/3 - -2. Suppose -1 = 5*s - 21. Sort s, t, -3, 2.\nAnswer: -3, t, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5 from -100282.\nAnswer: -100287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 6779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -402*d - 26 = -5*q - 401*d, 3*q - 24 = 2*d. Solve -2 = -q*s + 6*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -5*g + 48. Let a be o(0). Calculate the greatest common divisor of 272 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of 1 + 0*x**2 + 4\/3*x**3 - x. Suppose q - 6 = -4*s, -2*s - 2*s = -3*q + 2. Calculate w(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -560081 divided by -1\nAnswer: 560081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1083 and -1362.\nAnswer: -1361.8917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1673368551 + -37.725.\nAnswer: 1673368513.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7526 - 7527. Which is the closest to l?  (a) -1\/11  (b) 0.2  (c) -11\/2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 9 - 20*u + 6*u - 4*u - 3*u + 2*u - 2*u - u + (0*u - u + 0*u)*(3 + 1 - 2) - 4*u - u + 6*u - 3 - u + 3 + (2 + 0 - 3)*(-4*u - u + 3*u))*(1 - 3 + 3).\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:46 PM and 5:22 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 987208 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, -3, 3, -2, 1098 in descending order.\nAnswer: 1098, 18, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 48693.6764 and -0.09?\nAnswer: 48693.7664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 + -376?\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11285?\nAnswer: 5, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjpljjljpajj. What is prob of sequence pl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -385, -480, -599, -754, -957, -1220, -1555?\n\"Answer: -2*y**3 - 81*y - 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is c in c**4 + 381*c**3 + 8149*c**2 - 1273629*c - 2576822 = 0?\nAnswer: -347, -79, -2, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-875)\/(-125)*152\/(-28)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q*q\/q**0)*q)\/(q**8*q))**6 assuming q is positive.\nAnswer: q**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21 - -2) + -13 + -2 + 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.5 and -0.32?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*f**3\/5 + 777*f**2\/5 - 1563*f\/5 + 783\/5 = 0. Calculate f.\nAnswer: -261, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1172 divided by 270?\nAnswer: 586\/135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -850.082 + 845.695881. Let c = y - 0.036581. Let n = c + 4.35. What is n rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (3 + 4*sqrt(6)\/sqrt(3) + -4)*-6.\nAnswer: -24*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 5*n**2 - 28*n - 17. What is the remainder when t(8) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-1 - 16) - (-35 - (3 - 40))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 74207 is divided by 179.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -16773889 rounded to the nearest one thousand?\nAnswer: -16774000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 4*m = 3*d - 22, -4*d + 6 = 2*m. Let s(c) = -7*c + 3*c + m*c + 0 + 1. What is s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, b: 3}. Give prob of sequence bbb.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -26137040, -26137218, -26137398, -26137580, -26137764?\n\"Answer: -p**2 - 175*p - 26136864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -349.9244 to the nearest 10.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = q**2 - 59*q - 392. Let w be o(-6). Let u(f) = 2*f**2 + 4. Determine u(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**2 - s + 6. Let b be m(4). Let o(z) = -6 - 2 + 4 - 64*z + 3. Let h be o(-1). Calculate the highest common factor of h and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q**3 + 45292 + 45286 - 90578.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 197749319 or 197749321?\nAnswer: 197749319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 12*l + 121. Give y(-12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 470317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -273*f. Let s(y) = 7*y**2 + 2. Calculate s(z(u)).\nAnswer: 521703*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*(o\/(o*o**(-2\/5))*o)\/o*o*o**(-9))**(14\/5)*o**(7\/4)*o**(3\/5)*o*(o**(-1))**(11\/2) assuming o is positive.\nAnswer: o**(-2063\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.08252 - 2.08252. What is the smallest value in f, -6\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -3369, -3367, -3365, -3363?\n\"Answer: 2*h - 3371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 87 and 4204217?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -30, -0.3, -0.1, -146 in decreasing order.\nAnswer: -0.1, -0.3, -30, -146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.3333053 minutes in hours?\nAnswer: 0.022221755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**2 + 61*q + 1371. Let l be a(78). Solve -l = -8*b - 7*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 150031 to the power of 1\/2, to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 132 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.285 + -147.815. Let i = 158 + q. Let j = i - 10. What is the third biggest value in j, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 + 7*q**2 + 25*q - 16. Give w(7).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = j**2 + 23*j + 24. Let u be y(-22). Which is the nearest to -1?  (a) u  (b) -79  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -32, 6, -39, 3 in increasing order.\nAnswer: -39, -32, 1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1  (b) -0.2  (c) -400\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 319 + -8?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n = 3 - 27 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2\/(-4))\/(-56 + 55). Which is the closest to 3?  (a) 2  (b) 12\/13  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 7*b + 17. Give c(-8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*j**5 + 4*j**5 - j**5 + (-3 - 9 - 2)*(-4*j**5 + 3*j**5 - 3*j**5).\nAnswer: 57*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*a - 5*a - 6542 + 16225. Calculate the remainder when a is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 24563233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, m: 14}. What is prob of picking 1 l and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -23*g**2*p*u**3 + 65*g**2*p*u**2 + 1552*g*u**3 - 13*p*u**3 wrt g.\nAnswer: -46*p*u**3 + 130*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-54 - 0)*1\/(-14). Suppose 6*r - 4*c = 3*r - 27, -2*r - 2*c = 32. Let s be (-9)\/27*(1 + r). Which is bigger: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3638 in 3, -3\/38, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -10297 smaller than -10301?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -68*r + 64 = -276 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 131\/140 and 49\/2.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aalm when four letters picked without replacement from noalsnolsslslsnmlla?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2200 + -20036?\nAnswer: -14536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 372, 5, -3, 1.\nAnswer: -3, -1, 1, 5, 372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 357 (base 16) to base 15\nAnswer: 3c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5171581133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**3 - 4*u**2 - 18*u + 7. Let r be f(6). Let h = 8 + -3. Let w = h - r. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y + 0*y = -2*s + 383, -s = -5*y + 660. Solve -28 = 124*p - y*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.0582 * -45\nAnswer: -2.619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 63113 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4*n - 36. Let k(b) = -1. Let v(l) = -a(l) + 6*k(l). Let u be v(5). Solve 5*i = -u - 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 4 + 2 + -2 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 11\/(-4) - (-1)\/(-4). Let t be (1 - -1)\/(0 - (2 + b)). Let 0*g**t + 0 + 2\/3*g**3 + 1\/3*g**5 + 0*g + g**4 = 0. What is g?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3523, -3399, -3143, -2725, -2115, -1283?\n\"Answer: 5*r**3 + 36*r**2 - 19*r - 3545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 14) to base 11\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -118 + 121. Which is bigger: m or 1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -7*r**2. Let x(k) = -4*k**2 - 13*k. Let b(t) = t**2 + 3*t. Let h(q) = -26*b(q) - 6*x(q). Determine h(i(n)).\nAnswer: -98*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**13)**13 assuming t is positive.\nAnswer: t**169","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(637) + sqrt(637) + -1 - sqrt(13)*2*-5*2) + -3.\nAnswer: -4 + 41*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z + 2*v - 7 + 13 = 0, 4*z - 2*v = 6 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 55 = 27. Let w(v) = p*v - 18 - 20 + 2*v**2 + 27. Let g be w(-5). Solve a = 5*a - g for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 85*q - 101*q - 1552. Let g = q - -353\/3. What is the common denominator of g and 15\/112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 31.6, 2.4, -0.1, 1\/4, -0.06, -0.3?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7017 - -25f?\nAnswer: -6db8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2\/13, 4, 0, 5, 0.1, 10\/697, -34?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 PM and 3:16 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -312351.51 and -30.\nAnswer: 9370545.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -902*t**3 - 2*t**2 + 2. Let k be z(-1). Suppose -10*n + 21*n = -k. Let x = 111 + n. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 301 = -f - 6*q, -4*q + 4 = 0. Suppose -k - k - 11 = 3*x, -5*x - 21 = 2*k. Suppose -k*p + f = 84. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (10\/25)\/((-1)\/(-30)). Let b(i) = 3*i**4 + 3*i**3 - 12*i**2 + 12. Let l(m) = -m**2 + 1. Let p(k) = c*l(k) - b(k). Let p(s) = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 2088952 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*o + 23*o = -210. What is the highest common divisor of 15 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.9 and -1503121808376.\nAnswer: -1503121808376.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -5 and 56 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7878?\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 628694 and 7225?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 81 - g**2 - 7.\nAnswer: -g**2 - 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - s - 3)*(18*s**2 - 18*s**2 + 3*s**3) + (3*s**3 - 4 + 4)*(1 + 4 - 4)*(-2*s + 2*s + 3*s) to the form c*s**2 + v*s**3 + y*s**4 + w*s + z and give y.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 202695*t**3 - 3 + 2 + 63818*t**3.\nAnswer: 266513*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2\/3479 + -90436\/31311. What is the common denominator of 0 + (-190)\/4 - 2 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -3, 4 in decreasing order.\nAnswer: 4, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = 5*y + 8, 3*d - 4 - 2 = 3*y for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 7*h. Let z(r) = -3413*r - 56. Calculate s(z(a)).\nAnswer: -23891*a - 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -0*r + 48. Let s = r - -17. Let q(n) = -4 - 2*n**3 - n + s*n**2 + 0*n**2 + 8 + n**3. What is q(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**3 - 4*g**2 + 11*g. Let k be (-14 - 0)*7\/((-1617)\/(-22))*-3. Determine s(k).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/((-30)\/5))\/((-2)\/((-12)\/(-117)))\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a - 4*b - 24 = 0, -3*a - 9*b - 24 = -12*b for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -690, -2718, -6138, -10956, -17178, -24810, -33858?\n\"Answer: -u**3 - 690*u**2 + 49*u - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 39  (b) -1\/3  (c) 0  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 318 + 556. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6 + -3. Suppose -z = 2*z - w, 4*g - z - 59 = 0. Let t be (-1 - -2)\/(15\/g). Put -15, 5, t in descending order.\nAnswer: 5, t, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 + 0.2. Let o = 4224.3 + -4225.3. What is the nearest to t in -3, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the third derivative of 25*r**8\/336 + 23*r**7\/42 - 5*r**6\/6 - 29*r**5\/3 + 10*r**4 + r**2 + 291. Solve a(n) = 0.\nAnswer: -4, -3, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.105 - -59.795. Let s = d + -63.9. Which is the closest to -10?  (a) -5  (b) 4  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 559377 + 541596 = 198*m + 376887. Does m = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -3  (b) 18  (c) 2  (d) -141  (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -4  (b) 1825  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -0*m - 4*m + s - 6, 5*m - 15 = 5*s for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2.843 - 0.077. Let w = 1.28 - z. Round w to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 5*j**2 - 3*j + 1. Let t be c(-3). Let g be (44\/t)\/(2\/15). Let o be (g\/4)\/((-6)\/(-200)). Calculate the highest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 442298 by -5143.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 132170, 132169, 132168, 132167, 132166, 132165?\nAnswer: 132164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -2*(-10)\/((-200)\/90)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 + 0 + 17 - -1) + (29 - 27).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (34\/(-30) + 68\/510).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1311 + 264\nAnswer: -1047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 7*h - 4*h - 25*h + 14*h + 5 + 3*h**2. What is g(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-4\/7))**(2\/21)\/(u**(15\/2))**(2\/9))**(14\/3) assuming u is positive.\nAnswer: u**(-506\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 8*z - 44. Let r be w(6). Find the common denominator of (-735)\/270 + (r - 2) and -11\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.5, 0.2, -13 in increasing order.\nAnswer: -13, -5, 0.2, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-12)\/n)\/n)\/(n\/(n\/(n\/(n**(-8)*n))))*(n**(1\/13))**(-1\/5) assuming n is positive.\nAnswer: n**(-1431\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/2 + 13*h**2\/2 - 18*h.\nAnswer: -h*(h - 9)*(h - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 - -17. Let w(x) be the first derivative of 15*x**2\/2 + 1. Is 35 a factor of w(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25831, -51381, -76929, -102475, -128019, -153561?\nAnswer: -179101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(1\/4)\/(f*f\/f**5*f))**22)**(-47) assuming f is positive.\nAnswer: f**(-4653\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4 + 1)*(2 + 0). Let l(j) = -j**2 - 13*j + 188. Let a be l(8). Let r be (-30)\/a*20\/(-6). Solve -t*b = -15*b - r for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 569 a factor of 47523707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -87 - -175. Suppose -w = 3*l - 2, -3*w = 2*l + 13 - 33. Suppose -w = 10*a - 11*a. What is the highest common divisor of a and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l. Let z(x) = -x**2 - 19*x - 60. Let t be z(-15). Suppose -d = -6 - t. What is y(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54883*j - 78 = 54877*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11.2 - -2.2. Let i = -833.64 + 835. Let x = i - 1.56. Sort x, 1\/4, y, 1\/2 in increasing order.\nAnswer: y, x, 1\/4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -4, 3, 1, 7 in ascending order.\nAnswer: -4, 1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g = g + 1. Let h be g\/(-2)*(1 + -1). Suppose 0 = -3*u + 10 - 4. Solve -u*i = -h*r - r, -2*r = -2*i - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*o - 2*o = -120 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 18771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 17\/(-68) + ((-438)\/8 - 0). Let l be -3*15*308\/m. Let u = -50 + 78. What is the highest common factor of u and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -367*r - 148.\nAnswer: -367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2.4, -2\/9, 0.2, 3\/10, 8\/3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is aa - 3?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v - 46*c + 47 = -48*c, 2*c = 3*v + 6*c + 31 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) be the third derivative of -5*m**8\/112 + m**6\/20 - m**5\/30 - 5*m**4\/3 + 563*m**2. Find the third derivative of c(i) wrt i.\nAnswer: -900*i**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 0*w + 5*w - 15 = 0, 0 = j + 5*w - 15. Suppose -6*v = -j*v - 378. 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 greatest common factor of 1148132 and 7144?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 31*d**3 - 31*d**2 + 2411*d + 2 wrt d.\nAnswer: 186*d - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 223888*p**3 - 109837*p**3 - 107637*p**3 + 14019*p wrt p.\nAnswer: 38484*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113 = -12*k + 7 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**4 + 2*l**3 - 2*l**3 + (l + l - 4*l)*(-1 - 2 - 3*l**3 + 0).\nAnswer: 5*l**4 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k**3 - 7*k**2 + 6*k - 10. Let n be f(3). Let b be n\/2*136\/(-204). Put 0.4, 10, b, -8 in decreasing order.\nAnswer: 10, 0.4, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -517112.767 to the nearest 100.\nAnswer: -517100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 192*j - 191*j - 12949 = 5*h, -h + 64641 = 5*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes after 3:23 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 4*z**2 + 629*z - 1256*z - 7 + 619*z. Suppose g = 3*g + 12. Is a(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2430288.941 to the nearest 100.\nAnswer: 2430300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2458629 is divided by 1691.\nAnswer: 1606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 541854701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -16, 3*k - 1813 = -4*z - 5581. Let t = -551 - z. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9422554 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of g**6\/120 + g**5\/15 - 5*g**4\/24 - g**3\/6 - 20*g**2. Let d be v(-5). Let w = -1\/21 - 59\/84. Which is smaller: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*g**2\/5 + 1566*g - 7833\/5.\nAnswer: 3*(g - 1)*(g + 2611)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -670, -669, -668, -667, -666, -665?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 - 174 = 47*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + -4 + (1 + sqrt(972) + sqrt(27) - sqrt(27)) + 2 + sqrt(432) + -3.\nAnswer: -4 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5222.1583 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -n*z**3 + 26*n*z**2 - 69*n + 15*z**4 - 25*z**2 + 83407*z wrt z?\nAnswer: -6*n*z + 52*n + 180*z**2 - 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 104231971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1665.5 centuries?\nAnswer: 1998600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvyvvyvvyvvtvyvvy. What is prob of sequence yvv?\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of 53*l**5\/15 - 4*l**2. Let b(s) = 32*s - 64*s + 31*s. Calculate b(v(q)).\nAnswer: -212*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -5*o**2 - 4 + 4 + 4*o**2 + 2 - 3*o. Let v be m(0). Find the third derivative of -13*j**v - 9*j**2 + 23*j**2 - 20*j**3 wrt j.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -95*p**3. Let l be (-3 - -6)*(-2)\/6. Let z be j(l). What is the highest common factor of 38 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 2:44 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 7:16 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 6}. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*m - 5 + 3 - 38*m.\nAnswer: -78*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 44 + -42. What is the smallest value in 1\/2, 4, a?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 6:48 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 62 = -66 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.8 - 4.4. Which is the fourth biggest value?  (a) j  (b) -0.4  (c) 5  (d) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*r = -83*r + 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 173 - 120. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) be the first derivative of -s**4\/2 + s**3\/3 - s**2 + 2*s - 4. Let p be x(1). Which is the nearest to -3?  (a) p  (b) -2\/7  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) be the second derivative of -13*f**7\/42 - f**5\/20 - 233*f**4\/4 - 521*f. Find the third derivative of h(y) wrt y.\nAnswer: -780*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -3*g**2 - 136*g + 5. Let z(i) = 4*i**2 + 192*i - 7. Let r(q) = 7*y(q) + 5*z(q). Suppose -3*b - 16 - 26 = -4*o, 5*o + 5*b - 35 = 0. Calculate r(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 254627340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 100101000001011 (base 2) to base 9\nAnswer: 28001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*s**3 + 0*s**3 + 19 - 19.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 14) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 9:52 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -257269, -514560, -771851, -1029142?\nAnswer: -1286433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 3*x - 208, 0 = -3*v + 2*v + 1. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7344.61 + -7304. Let c = b + -41. What is c rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 157, -5, 8 in increasing order.\nAnswer: -5, 8, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 1, o: 1, n: 1, u: 4, a: 2, j: 3}. Give prob of picking 2 i and 1 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 730\/19345 - (-2442)\/(-106).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*d - 47*d = 44*d + 182 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10.80211242 - -10.802. What is b rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -9 - (680\/(-45) - -6). Let o = -24 - -47\/2. Sort -2, k, o.\nAnswer: -2, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -7*k**2 + 5*k - 49. Let b(q) = -3*q**2 + 2*q - 24. Let v(f) = 5*b(f) - 2*p(f). Let d(l) = -l. Calculate v(d(i)).\nAnswer: -i**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 + 6 - 14)*(270*a - 89*a + 150*a)*(1 + 2*a - 1).\nAnswer: -13902*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 415 + -416. Let g = -0.695 + 0.295. Which is the second smallest value?  (a) f  (b) g  (c) -1\/3  (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33*m**4*q**2 - m**4 + 2*m**3 + 2*m**2*q + m*q**2 + 10*q wrt m?\nAnswer: 792*m*q**2 - 24*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 1674393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 13, j: 6}. What is prob of picking 2 n and 1 j?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -12 + 0 + (27 - 1408\/96). Let j(k) be the first derivative of -1\/20*k**4 + 10 + w*k**3 + 7\/5*k + 13\/10*k**2. Determine x so that j(x) = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 76862333 and -0.042471?\nAnswer: 76862333.042471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 6*h**2 + 109*h + 409. Give r(-12).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, g: 1, b: 2, q: 2}. What is prob of sequence bbc?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1402\/7 + (192\/(-28))\/24. Calculate the highest common factor of s and 33900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -55, -186, -291, -370, -423?\n\"Answer: 13*p**2 - 170*p + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-26 - 7 + 4)*(-3*g**3 - 2*g**5 + 3*g**3 - 2*g**5 - g**5 + 2*g**5 - 2*g**5 - g**2 + g**2 + (-3*g**2 + g**4 + 3*g**2)*(g + 1 - 1)).\nAnswer: 116*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 538 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g + 379 = 1111. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4510 + 1330?\nAnswer: -3150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1596 * -0.058957.\nAnswer: -94.095372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -58237 != -58249?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, -13, 4 in decreasing order.\nAnswer: 4, -1, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (2841 - 72\/3)\/(2\/12)?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + -1 + -5 + 28 + -20?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2091 a factor of 48413629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-20))\/((-1)\/5*3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 312*z + 12. What is the tens digit of w(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide -13*120\/(-1872) - 102638\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6 + 3. Let l = -162\/55 + 28\/11. Let t = -0.05 + 0.05. What is the closest to t in 0.5, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 3*d**2 + 3 - 4*d**2 + 0*d**2 + 4*d. Let l be g(5). Let q = -29 - -29. Which is the nearest to 0.1?  (a) q  (b) l  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.981 - -0.019. Which is the nearest to -2\/5?  (a) 23.5  (b) -0.5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1198.2 rounded to the nearest ten?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 11*f**2 + 2*f + 6. Suppose 4*t = -2*j - 10 - 8, -t + 8 = 3*j. Let q be (-9)\/(-18) - t\/(-2). List the prime factors of s(q).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -l**3\/3 - 112*l**2\/3 - 4096*l\/3 - 16384 = 0.\nAnswer: -48, -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-6)*(-5)\/(2\/(-12)*5). Let f = 486\/315817 + -8\/1009. Is f bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 6 + 3)*(25*c - 3706 + 1850 + 1845).\nAnswer: 150*c - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1508 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*l - 540220 + 52915 = 5753*l for l.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 3047227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 314016029.\nAnswer: 109, 2880881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (318\/8)\/((-270)\/2439). Let l = -2907\/8 - b. Calculate the common denominator of 32 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 39 - 25. Let h(j) = -j + 17. Let a be h(v). What is the third biggest value in 5\/2, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.2, 4, 6 in descending order.\nAnswer: 6, 4, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2696*j + 34 + 5114*j + 3725*j.\nAnswer: 11535*j + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*c + 12*c - 30 = 0 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1749 is divided by 10*6*(-2)\/90*102\/(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 57\/95 + 7918\/(-5). Round p to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9.5 + -10.5. Put -2\/9, -1\/6, -1.3, d in descending order.\nAnswer: -1\/6, -2\/9, d, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 12 = -5*b. Suppose 2*f + f = 0. Suppose f = 2*s + 2 - b. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -3*n - 8. Suppose b - n*b = -12. What is the derivative of 16 + 3*c**3 - 17 - b*c**3 + 3*c**3 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 57*k + 9. Let u(b) = -6*b - 1. Let v(g) = -q(g) - 9*u(g). Let s(f) = 3*f**2. What is s(v(j))?\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the third derivative of a**5\/60 + 3*a**4\/4 + 3*a**3 - 14*a**2. Let v be r(-14). Which is smaller: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from yjjyh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/7040 and -17\/6144?\nAnswer: 337920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = j**3 - j**2 - j. Let y(b) = 9*b**3 + 4*b**2 + 6*b. What is 6*t(a) + y(a)?\nAnswer: 15*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l + 10. Let m be j(8). Determine w, given that -2*w**2 + 2*w**m + 3*w - w + 4 - 2*w**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3123 is divided by 1386.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*p + 4*p**3 - 11*p**2 - 5*p**3 + 2 - 1 to the form i + y*p**3 + q*p**2 + c*p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2258 - 2269.93. Let q = -12 - v. What is q rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 733 - 1255 = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.06 + -3.36. Let x = 0.1 - 0.3. Let j be 1\/2*(-12)\/9. Which is the closest to d?  (a) x  (b) j  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 2  (c) -3\/2668\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 w when four letters picked without replacement from {i: 2, v: 7, y: 1, b: 4, w: 4, k: 1}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3335 and 0.21?\nAnswer: 700.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 1 - 114522.6211027\nAnswer: -114521.6211027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11864872 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d**3 - d**2 + 5*d + 2. Let j be k(-3). Suppose -u = -j*u - 12. What is the common denominator of 1 - (129\/(-7))\/u and -39\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the third derivative of -1723*z**7\/105 - z**6\/120 - z**5\/30 - 5*z**4\/24 - 13*z**3 - 6923*z**2. Find the third derivative of f(j) wrt j.\nAnswer: -82704*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 - ((-8)\/2 - 40). Let j = 1411 + -1158. What is the greatest common divisor of p and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (4 - 6) - 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Total of -154259881.9 and -2.\nAnswer: -154259883.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 57953 is divided by 627.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 100706 divided by -1\nAnswer: -100706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 AM and 6:42 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 80365.7 minutes?\nAnswer: 4821942000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-16)*(-132)\/33?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 2*i - 3. Let c(x) = -7*x**2 - 8*x + 65. Let s(b) = -3*b**2 - 2*b + 32. Let n(w) = -2*c(w) + 5*s(w). Let z be n(9). Give j(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find a, given that 4*a**5 - 1372*a**4 - 68124*a**3 + 4124*a**2 + 201592*a - 136224 = 0.\nAnswer: -44, -2, 1, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 4, -2, -2\/5, 225?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9453268.\nAnswer: 2, 11, 181, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-14))\/((-16)\/56).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the third derivative of m**5\/12 + m**4\/8 + m**3\/6 + 3*m**2. Let c be s(-2). Solve -4*i = i - c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 - 6 = -5*c + j, 5*j = 5*c - 35 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 9370266 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of -q**4\/4 + 3*q**3 - 4*q**2 + 11*q - 127. What is w(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**3 + 3*d**2 - 3*d + 1. Let b(f) = f + 2. Let v be b(0). Suppose -3*j + 10 = v*j. Determine m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9c42a (base 13) to base 9\nAnswer: 472664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3895 - 3895 + 26*h + 7790 - 74*h + 2*h**3 + h**2 to the form s*h + y*h**3 + q*h**2 + m and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -7*b - 25. Suppose -19 = -i + 3. Calculate the smallest common multiple of i and r(-5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-2))\/((58575\/50)\/71).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**2 - 6*o + 2. Let n be l(-5). Let z(t) = 0*t - 3 + t - 3*t - 4 + t**2. Let f be z(7). Calculate the greatest common divisor of n and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 13391 and 393.\nAnswer: 5262663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 482 and 20.\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1158742 and 26650.\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -37, 25 in increasing order.\nAnswer: -37, -10, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 40025 and 77134579.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -129.7.\nAnswer: -126.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(1 + sqrt(432) + 0 - (4 + (1 + sqrt(432) - sqrt(432)) + sqrt(432)) - -6*(5 + sqrt(432)*1)))**2.\nAnswer: 14976*sqrt(3) + 64912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1141210 rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -496001, -991979, -1487971, -1983983, -2480021, -2976091, -3472199?\nAnswer: -3968351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + n)*((-3 + 2 + 3)*(2 - 7 + 2) - 1 + 2 + 1).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 5*j**2. Let v(l) = -2956*l + 13. Determine v(p(o)).\nAnswer: -14780*o**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2062 and -702.\nAnswer: -1447524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 42141313 (base 5) in base 10?\nAnswer: 349583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -134125 divided by -1073.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 22119473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 24547, 98178, 220903, 392722, 613635, 883642?\n\"Answer: 24547*q**2 - 10*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -7*x**2 + 0*x**2 - x**3 - 5*x + 6 - x. Let q be r(-5). Let n = q - -22. Solve 2 = 3*d + n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 4 = 3. Let b be 2\/2 - (0 - 0). Let f = v + b. Solve -f*q + 6 = -5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 15065 - a3?\nAnswer: 14eb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 - 33 = 9*s - 106 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -12 - 3. Let p be (1 - j)\/(1\/(-3)). Let l(t) = -t**3 - 5*t**2 - 3*t - 1. Let w be l(-5). Calculate the highest common divisor of p and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 658271111 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*v = 82*v - 4398834. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -19, -32, -53, -82, -119, -164?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**3 + 13*l**2 - 16*l + 11. Calculate the remainder when 192 is divided by k(-14).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72879*d**2 + 72880*d**2 - 4*d + 4*d.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of a**3 + 2*a**2 - 257*a - 5264?\nAnswer: 3*a**2 + 4*a - 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-9 + (-145)\/10) + 7\/(-14)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*i - 120 + 36 = 0. Suppose i*m - 10 = 12*m. Factor -2*b**m + 0*b**3 - 8*b**3 - 8*b**4 + 0*b**4 + 0*b**3.\nAnswer: -2*b**3*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - 16, -4 = -n - 2*g + 5. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.5, -2, -3\/4, 3, -0.2, -129.84?\nAnswer: -129.84","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.15 - 0.35. Which is the smallest value?  (a) -0.1  (b) 1  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 0.2  (b) 3  (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -b**2\/8 + 484545*b\/4 - 234783857025\/8 = 0. What is b?\nAnswer: 484545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 123 + 113 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (8 + -5 + 14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 5*a = -28, -d + 0*d - 2*a + 24 = 0. Let r(b) = 7*b - 10. Does 13 divide r(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 232242482 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - -23 - (189 + -211)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2626654417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 45\/45*(27 + (-4)\/(-4)). Solve -7 = -35*f + j*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 797973 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 134183 divided by 661.\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*u**2 - 6*u**2 + u**2 - 1 - 41*u**2 - 4*u as i*u**2 + p + v*u and give i.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 101*(-3)\/(-12)*4. Let r = -43 + w. Let a = r + 67. What is the highest common factor of 50 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/((28\/(-32))\/(-7)). Let x(m) = m**2 + m - 140. Let t be x(12). What is the highest common factor of f and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = q**3 - 7*q**2 - 9*q + 3. Let s = 21 - 18. Let m be 3*((-14)\/s + 0). Let y be ((-16)\/(-5))\/(-1 - m\/10). Determine w(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Round -14.48043 to one dp.\nAnswer: -14.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**3 + 12*f**2 + 2. Let s be (-1)\/2 - (-88)\/(-16). Let g be j(s). What is the third derivative of 0*y**2 + 8*y**6 - 2*y**2 - 8*y**g wrt y?\nAnswer: 960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -830.188 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*l + 4*l + 2*l + 5*l to the form p + d*l and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 0.1102624224?\nAnswer: -0.1102624224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*k**2 - 16*k**2 + 3083*k - 9238*k + 3082*k + 3078*k.\nAnswer: 25*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, 2, -235 in ascending order.\nAnswer: -235, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 l, and 1 k when three letters picked without replacement from {l: 2, w: 1, c: 1, z: 2, k: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the second derivative of s**4\/12 + 7*s**3\/6 - s**2\/2 - 9*s. List the prime factors of h(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 41797 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4 = 12. Suppose -3*m - 3*d = 3, -3*m + s*d + 12 + 10 = 0. Let x be 10\/3 - (-2)\/(-6). Solve -x*p - p = -m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2171400 divided by 217140\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 4 + sqrt(153) + 0)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 172*l = 2529 - 2873 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of 0*d**2 - 41 + 4\/3*d**3 + d. Let k(v) = -9*v**2 - 2. Give 13*a(f) + 6*k(f).\nAnswer: -2*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 1, s: 1, h: 1, q: 3, e: 1}. What is prob of picking 1 d and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1681611 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -56493638 or -56493636?\nAnswer: -56493638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -133*o**2 + 2 - 3 + 1 + 90*o**2.\nAnswer: -43*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(-3) + 10\/3. Let y be (-9)\/g*-1 + 2. Suppose -l + 2*a = -20 - y, a + 4 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1277*b - 48 = 8*q - 1281*b, 2*q + 5*b - 12 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1.03, -16, -2, -188?\nAnswer: -188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -5599636 divided by 1\nAnswer: -5599636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7822.7 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*q**3\/2 + 267*q**2\/2 + 636*q + 504.\nAnswer: 3*(q + 1)*(q + 4)*(q + 84)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 93\/1456 and 93\/40768.\nAnswer: 40768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/2470 and -44\/1205113.\nAnswer: 12051130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(70) - sqrt(70)*-2)*-3)\/sqrt(2))\/(5*sqrt(605)*-2 - sqrt(605))*-3.\nAnswer: -27*sqrt(7)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 2*l = -12. Let n be (-4*1)\/((-4)\/l). Let b(o) = -o**2 + 5*o - 1. Let q(j) = 6*j**2 - 5*j**2 + 2*j**2 - 5*j + 3 - 9*j. Calculate n*q(k) - 11*b(k).\nAnswer: -k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q**3 + q**3 - q**3)*(-5*q**2 - q**2 + q**2)*(-5 + 2 + 2).\nAnswer: -10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/1607?  (a) -11  (b) -5\/2  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3150752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -939*l + 2895*l - 944*l - 897*l.\nAnswer: 115*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 33385298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.0361, -4, 3, 0.1?\nAnswer: 0.0361","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kjggjgjjj. Give prob of sequence kjg.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.3041221 days?\nAnswer: 26276.14944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 197117 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**5 + 3311*o**4 + 2755534*o**3 + 24581714*o**2 + 40804465*o - 68145025 = 0. Calculate o.\nAnswer: -1651, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, i: 2, x: 10}. What is prob of sequence jx?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 288 divided by 216?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -315 by 1.\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 8*i**3 - 962*i**2 + 238*i + 231. Calculate x(120).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 66894 > -518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 13*t + 37 = -8*t, -4*t = d - 23. Suppose 281 + 2711 = d*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -13873*2\/(1 - 3) - (0 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t + 2*t = 15. Which is the nearest to 2\/3?  (a) 0.4  (b) 1\/2  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2067*w + 279050. What is r(-135)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j + 0 + 1 - 5 - 7 - 2.\nAnswer: j - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*s = 4*s + 9. Suppose k - 360 = -s*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -180*u**3*v**4 + 2*u**3*v**3 + 1384*u**3 wrt v?\nAnswer: -720*u**3*v**3 + 6*u**3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 744560 and 3280?\nAnswer: 744560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 5, 176.\nAnswer: -7, 5, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 + 6626.\nAnswer: 6628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -15 - -73\/5. Let w = -0.3 - -0.8. Let n be (-1348)\/(-42) - (1165 + -1133). Which is the third biggest value?  (a) g  (b) w  (c) n  (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1 - (-1)\/2)*6 - 4. Suppose 0 = -3*l + p + 75, 0*l + p = l - 27. What is the remainder when (-1)\/7 + (-659)\/t is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-28)\/(-7) + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1103202 (base 4) to base 13\nAnswer: 2583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -11*l**2 + 3*l + 23. Let j(m) = -5*m**2 + 2*m + 11. Let k(a) = 6*i(a) - 13*j(a). Let v be k(-7). Solve 2*y = -v*y - 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 17 - 10. Let z(y) = 4*y**2 + 3*y + 2. Let m(i) = -6*i - 7*i - 13*i**2 - 7 + 4*i. Let b(j) = q*z(j) + 2*m(j). Find the second derivative of b(d) wrt d.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 - 3 = -5*h. Suppose h*q = 7 + 21. Sort 41, q, -2, 3.\nAnswer: -2, 3, q, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/3, -0.3, 0.5, 56\/11, 192?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -1168*g**2. Let i(q) = -29451*q. What is i(c(o))?\nAnswer: 34398768*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes after 7:15 AM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/73524 and 11\/40104.\nAnswer: 441144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q - 23. Let z be k(-14). Let p(h) = -h**3 - 5*h**2 + 2. Let r be p(-5). Suppose z*t - 3 = r*t, -5*m + 41 = -4*t. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1847*y + 77097 - 77097)*(4 + 0 - 6) as z + q*y and give q.\nAnswer: 3694","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3.4 - 2.4. Let y = -4 - -4.2. Which is the smallest value?  (a) y  (b) p  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -h**2 - 53*h - 72. Let q be t(-41). Which is the nearest to q?  (a) 3  (b) 1  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*i = -5*i - 5*a - 5, 0 = -a + 1. Suppose 3*f + 209 = k, -2*k - 2*k = i*f - 850. Suppose 3*o - k = 2*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l*(l\/(l*(l*l\/l**(-2\/3))\/l))\/l)**18*(l*l\/(l*l**(1\/3)))**8 assuming l is positive.\nAnswer: l**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((1*sqrt(76))**2 + 5)*-5*4.\nAnswer: -1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 449 - 3*r**3 + 3*r**3 + 570 - 1019 - 3*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {m: 1, c: 4, w: 1, j: 2, s: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9.1575 + -0.1575. What is the nearest to u in -1\/3, -5, -2\/9, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297 is divided by 48.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 125 = -5*k, 0 = -2*p + p + 3*k + 40. Suppose p*y - 199 = -49. Solve -b + y = -7*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + (9 - 0) + -12 + 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -102202 (base 3) to base 10.\nAnswer: -317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1794000 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 300.7507 centuries?\nAnswer: 3007.507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21726*j**6*t**2 - 2*j**2*t + 1284*j**2 + t**2 - t wrt j?\nAnswer: 2607120*j**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145*w + 534 = 2274. Suppose -33 = -y - 0*y. What is the smallest common multiple of y and w?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1\/266?\nAnswer: -1\/266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12 - -12. Suppose o = 3*k - 30 - 6. Let h = 5 - k. Is h less than or equal to -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m - 5*u = -53, -10*u - 2*u = -2*m - 13*u + 88 for m.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1126  (b) 5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11.3 + -16.3. What is the third biggest value in -6, n, 0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 11552, 49517, 112790, 201371, 315260, 454457?\n\"Answer: 12654*o**2 + 3*o - 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 285210 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -19.7 - -20.1. Let g = k + -0.38. Let n = 6.6 + -7. Which is the fourth biggest value?  (a) -2  (b) n  (c) g  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 872 divide 71314776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -15503 (base 11) to base 9\nAnswer: -33037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 73652, 147300, 220948?\n\"Answer: 73648*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -50547  (b) 8  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/(-3))\/((-2)\/6). Let h be -2 - (4*-4)\/q. Suppose h*z = -0 + 8. Solve 5 - z = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:50 PM and 3:02 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = 32*a**2 + 2*a - 1. Let p(k) = k**2. Give d(j) + 3*p(j).\nAnswer: 35*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21965.97 litres to millilitres.\nAnswer: 21965970","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1.7  (b) -1\/3  (c) 0.1724  (d) -10\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 2*g - 10*g = 0. Solve -23 = u - g*u + 5*p, 3*u = p + 11 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1393 + -543. Let a be 1*-8 - (-31302)\/37. Find the second derivative of j**3 + u*j**4 + 3*j - a*j**4 - j**3 wrt j.\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = 2*d - 7. Let k(o) = -3 - 9*o + 0*o + 2*o**2 - 3*o**2. Let w be k(d). Calculate the greatest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-81)\/(-18) + (-1)\/(-2). Which is the closest to -2\/37?  (a) 0.02  (b) i  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -578.02 to the nearest 10.\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31429235.\nAnswer: 5, 6285847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -253745 from 0.03719870126.\nAnswer: 253745.03719870126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 483 = 2*b, 13*b - 665 = 16*b - o. Which is bigger: b or -240?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 43074.3 rounded to the nearest one hundred?\nAnswer: 43100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 74978203 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 2*q + 3. Let b(r) = -5*r - 8. Let c(z) = 3*b(z) + 8*f(z). Let d = -4338 + 4333. Give c(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 741b4 (base 12) to base 5\nAnswer: 14333334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*r = -r + 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -40906\nAnswer: -40903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 7*x**2 - 4*x. Let d(l) = 6*l**2 - 3*l. Let o = 3 - -1. Calculate o*d(q) - 3*n(q).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1783681 (base 11) to base 14\nAnswer: -588c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3589 + 3617. Solve -8*z - 4 = s for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (265*y - 265*y + 23*y**2)*(-18 - 7 - 2) as s*y**2 + l*y + t and give s.\nAnswer: -621","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**2 - 15*j + 30. Suppose -a = -82 + 69. Let d be l(a). Solve 0*c + d*c + 3*g - 15 = 0, 2*c + g = 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-9))\/((-3)\/((-45)\/(-2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -127 + 131. Suppose 5*p + 22 = l, -3*l - i*p = 2*l - 168. Let x(b) = -l*b**2 - 219 + 219. Let a(w) = w. Determine a(x(s)).\nAnswer: -32*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/86)\/(-1 - (-11)\/(-12)). Let n = -29628\/6923 + p. Is n != -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 64\/1245 and -97\/6.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 12 + 4 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 37 + 11. Suppose 4*a - 5 = -5*k + 5*a, -2*k + 9 = a. Suppose -k*j + 80 = -c. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2097337 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -339*n + 169*n + 167*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -39 - -29. Let g(w) = -4*w - 15. What is g(k)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 + 6 + 21 + (2 + 0 - 5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-6 - -56)\/(-5) - -6. Let x(c) be the first derivative of -c**2 - 5*c - 1. Let i be x(k). Solve -i*j - 1 + 13 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4.07 + 0.07. Let h = 64 + -317\/5. What is the third smallest value in 4\/7, h, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q**2 - 12664*q + 8303333. Determine o(599).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 64926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1130.972 + 1032.89. Let q = s - -98. What is q rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**2 + 8*w - 8. Determine s(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/10*10\/60*-5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -123787313.914 + -5.\nAnswer: -123787318.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-266)\/(-76))\/(490\/(-68) + 7)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -354\/5*u**4 + 2204\/5*u**3 + 810*u - 250 + 18\/5*u**5 - 4668\/5*u**2.\nAnswer: 2*(u - 1)**3*(3*u - 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -4*r - u + 32, r = 4*u - 17. Let i be r\/(-4) - (-6)\/8. Find z, given that 2\/3*z**5 + 0*z**2 + 0*z**4 + i + 2\/3*z - 4\/3*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -56 + 28. Let w be (104\/10)\/(k\/10 - -3). Suppose -w = 2*y - 250. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5969 is divided by 399.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16278804 a multiple of 492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 13779923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 182*l + 29145 = -3*q + 178*l, l = q + 9701. What is q rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 19*i + 8 = -20*i, -3*v + 4*i = 23 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 365*z**2 - 18*z + 15. Calculate the remainder when j(1) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a factor of 10736297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + -1. Let t = 3 - -1. What is the nearest to t in n, -0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.03 + -0.53. What is the closest to -1 in -0.2, r, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-one halves of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*b - 31 = -t, -3*t - 1310*b + 1307*b + 12 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -2*x**2 + 5*x - 3. Let q be i(3). Let f = q - -6. Suppose 0 = -4*j + 2*d + 190, -2*j + 4*j + 2*d - 80 = f. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 divided by -2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, p: 2, z: 1, c: 1, a: 2, g: 2}. What is prob of picking 1 a, 2 g, and 1 n?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1070*g**3\/19 - 42444756*g**2\/19 - 420924526248*g\/19 + 1573550224\/19 = 0 for g.\nAnswer: -19834, 2\/535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1034*m**2 - m + 1026*m**2 - 2127*m**2 - m**3 + (4 + 2*m - 4)*(0*m**2 + m**2 - 2*m**2) to s*m**3 + c + d*m + b*m**2 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19 + n - 16*n**2 + 19 + ((2*n + 1 - 1)*(0 + 0 - 2) + 0 + 0 - 2*n + n + n - 3*n)*(n - 5*n + 8*n) to the form b*n**2 + f*n + l and give b.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 5 + 4385*q**3 + 3*q - 5*q + 2*q**2 - 4137*q**3 + 1 to the form r*q + m*q**3 + p + w*q**2 and give m.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the second derivative of -w**7\/21 - 28*w**6\/15 + 191*w**5\/10 - 215*w**4\/3 + 404*w**3\/3 - 136*w**2 - 2*w - 163. Solve m(i) = 0 for i.\nAnswer: -34, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -792, -754, -716, -678?\n\"Answer: 38*f - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -12*p - 2. Let b(y) = -112*y - 6 - 30*y - 15 + 22*y. What is 2*b(z) - 21*q(z)?\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -459, -15, -0.4944, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 16*q - 6. Let n(d) = 3*d - 1. Let s(h) = 2*k(h) - 11*n(h). Let p(j) = 6*j + 9. Let c(z) = -p(z) - 4*s(z). Determine c(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6331 = 331*k - 2606 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 324\/(-30) + 13 + (-6)\/(-10)?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 112 = g, -2*q + 38 + 23 = -5*g. List the prime factors of q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 194*t - 255. What is g(-1)?\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 10006*k + 13. Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gkg when three letters picked without replacement from {k: 12, y: 1, i: 2, g: 4}?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1006\/4*2*18. Let l = 11773 + -16927. Let q = l + r. What is q rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -141a79 (base 14) to base 8\nAnswer: -2517753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/7  (b) -2  (c) 17  (d) 0  (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the second derivative of l**3\/3 - 2*l**2 + 104*l. Let p be 1 + (-14)\/(-4)*2. Let g be f(p). Solve 2*u = -4*z - g, 5*u = -4*z - 6 - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.325914mg in tonnes?\nAnswer: 0.000000009325914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3*u - u - 5*u - 8 - 8. Let h be s(-5). Put -2, 2, h in descending order.\nAnswer: 2, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/2 + 1 - (-40 + 23). Suppose 11*x - p*x - 4*b + 4340 = 0, 2*x - 2*b = 2178. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 170 (base 9) to base 3\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*f**4 - 2*f**2 - 13*f - 2*f**2 + 12*f to the form g*f**2 + p + x*f**3 + c*f**4 + u*f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 3 - 2*z + 0.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17054 is divided by 8509.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*a**2 - 2*a**2 - 2*a**2 + (3*a - 3*a - 4*a)*(-a + a - 3*a) to the form f*a + w*a**2 + k and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7744420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11419 + -9407. What are the prime factors of r?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1*(2\/(-1) - -6). Let u be (a\/(-36))\/((-14)\/12). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4740*n**2*o**3 + 14*n**2*o**2 + 5*n*o**2 - 2*n + 2*o wrt o.\nAnswer: 28440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 147 - 152 = -z. Suppose -4*l = z*i + 8 + 5, -4*l - i = -7. Solve 3*w - l*t - 16 = -w, 0 = -3*t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 6*f = -3*v - 12, 230*v + 138 = f + 5 - 100 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -5*w + 4. Let m(v) = -14*v + 11. Give -3*m(a) + 8*r(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 304\/7 + -13002\/301. Let l(g) = g**2 - 8*g + 7. Let i be l(7). Suppose 7*f = -i - 0. Which is smaller: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(125) - (3*sqrt(125) + -3 + sqrt(125)))*6)**2.\nAnswer: -51840*sqrt(5) + 653184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -806312*q - 29*q**2 + 806312*q. Let g(c) be the second derivative of 5*c**3\/6 + 31*c. Give h(g(p)).\nAnswer: -725*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = -x + 3*s + 34, 0 = 5*x + 14*s - 66 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 4*t**2 - 7*t - 24. Let i(k) = -k**2 + 2*k + 6. Let p(a) = -2*f(a) - 9*i(a). Suppose 3*n - 20 = -2. List the prime factors of p(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 39 and 23296.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/32 or -33708742?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*g**2*q + 154784291*g**2 - 15*g*q**2 + 18343*g*q wrt q.\nAnswer: 2*g**2 - 30*g*q + 18343*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-36 - -38) + (2 - (4 - 2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17976 and 5768?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*y + 4*y - 5*y)*(0*y - 3*y + 2*y) - 6*y**2 - 23*y + 5*y**2 + 4*y to the form i + n*y + r*y**2 and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1 + 1)\/(2*1). Suppose f = 9*v + 16 - 70. What is the remainder when 231\/28 - (-2)\/(-8) is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 3018014, 3018008, 3018000, 3017990, 3017978?\n\"Answer: -z**2 - 3*z + 3018018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 6) to base 11\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0699 less than 0.9054?\nAnswer: 0.8355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12757272 and 242.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10111202133 - 3?\nAnswer: 10111202130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 42730719 a multiple of 918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 831 a factor of 170829975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*z - 9*z - 4 - 6)*(7 + 5 + 12) to f*z + u and give u.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 138865, 277806, 416743, 555676?\n\"Answer: -2*a**2 + 138947*a - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*d**2 - 2598 + 9*d**2 - d**2 + 2170 as i*d + p*d**2 + q and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f. Let d be 5\/(-7) - (2 + (-36)\/21). Let u(m) = 4*m - 3. Give d*u(o) + 3*i(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*c**2 - 2*c**2 - 3*c**2)*(369*c**3 + 426*c**3 - 691*c**3).\nAnswer: 104*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of -86*b**2 + 0*b + 0 + 7\/2*b**3 + 3\/4*b**4. Find the first derivative of z(f) wrt f.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 3 - (-1 + 6) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 354635 is divided by 806.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14 - 17. Let r be p\/6*(-5 + -1). Solve v + r*v = -8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 227 + -224. Put -26, v, 1\/6 in ascending order.\nAnswer: -26, 1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**2. Let v(y) be the second derivative of -y**5\/24 + y**3\/6 - y. Let u(o) be the second derivative of v(o). Calculate m(u(s)).\nAnswer: 50*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 40154945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 60 divide -3 - (-30)\/6 - (-102)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0002616 to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) be the second derivative of -68*f**7\/21 - f**4\/12 - 95*f**3\/6 + 4*f + 27. What is the third derivative of y(o) wrt o?\nAnswer: -8160*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 9948, 10013, 10084, 10161, 10244, 10333, 10428?\n\"Answer: 3*g**2 + 56*g + 9889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -111 - -116. Suppose 3*r + 6 = -d*h, 4*h + 2*r + 7 - 3 = 0. Suppose h = o - 1 - 0, -2*o = 4*q - 874. Does 28 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of 6*i - 4*i**2 + 0 + 1\/3*i**3. Let a be d(5). Solve -2*l - 1 - 3 = 2*w, -a*l + 3*w + 16 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2\/7)*w)**(4\/3)\/((w**0*w)\/(w\/(w*w**(1\/7)))))\/((w*(w*w**(-1))\/w*w*w)**9*((w\/w**3)\/w*w)\/w*w*w\/((w\/w**(2\/7))\/w)) assuming w is positive.\nAnswer: w**(-367\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5 - (-1 + 1 + 0). Let p(w) be the first derivative of 3*w**4\/4 + 5*w**2\/2 + 5*w - 355. Let h(g) = 2*g**3 + 3*g + 3. What is m*h(c) - 3*p(c)?\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*g = -68 - 44 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a**3 - 294*a**2 - 5*a + 5. Let r(v) = 3*v**3 - 441*v**2 - 7*v + 7. Give 7*n(t) - 5*r(t).\nAnswer: -t**3 + 147*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 + 16.3. Let l = -0.1 - -0.3. Let u = l - s. Is -1 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -80556539, -161113075, -241669611?\nAnswer: -322226147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 2*q**2 - 3*q + 1. Let c be -4*(-2 - (-15)\/12). List the prime factors of i(c).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -1579*b + 53. Is i(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*y - 204 - 410 = -134. Solve 0 = 2*w + 3*s + y, 34*w + 30 = 30*w - 5*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6671889*c**2 - 4530582*c + 769129 = 0.\nAnswer: 877\/2583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -3*m**2 + 70*m + 51. Let f be d(24). Solve f*a = -4*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15252 + 3*n**2 + 192*n - n**2 - 15252 - 24*n**3 wrt n?\nAnswer: -144*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (226 - 6 - -4) + -8. What is the greatest common divisor of 192 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 7) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) + 1)**2*6.\nAnswer: 48*sqrt(11) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 3*p - 8, 0 = -2*s + 7*p - 3*p + 4. Suppose -2*m + 14 = -4*r, r - 3 = 5*m - 2. List the prime factors of (-86*s)\/r*1.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (7\/((-14)\/4))\/((-24)\/(-138)). Sort v, -2, -4, 1.\nAnswer: v, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 10*j + 1. Let f be l(9). Let a be (f\/35)\/(3\/195). Calculate the greatest common divisor of 13 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than 10\/10689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 273, 263, 257, 255, 257, 263?\n\"Answer: 2*m**2 - 16*m + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.0455247 millilitres?\nAnswer: 0.0000455247","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**29)\/(w**(-1)*w*w))**(-4\/13) assuming w is positive.\nAnswer: w**(-116\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 88\/47229 and 11\/2940.\nAnswer: 6612060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k**2 + 10*k + 31. Let x be m(-9). Solve -2*f = x - 30 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes before 2:57 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 - (4 - (-56)\/(-12))*1977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1415404 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-7)*s**(-2\/3))\/(s\/(s*s*s*s\/(s*s*s**(-2\/7)*s))*s**29))**(-26) assuming s is positive.\nAnswer: s**(19864\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -6579, -13367, -20177, -27015, -33887?\n\"Answer: -l**3 - 5*l**2 - 6766*l + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(-2) + (-6)\/4. Let c be (-3)\/(x\/2 - -2). Sort -1, -2\/11, c in increasing order.\nAnswer: c, -1, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 53 divided by 14788.\nAnswer: 53\/14788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1032149139 and 539.\nAnswer: 1032149678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -12*f**3 - 8673*f**2 + 81225*f - 19764.\nAnswer: -3*(f - 9)*(f + 732)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f + 4685e?\nAnswer: 4684f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.466 times -88?\nAnswer: -41.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 - -718. Let c = o + -370. Round c to the nearest 10.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**3 - 204*l**2 - 420*l.\nAnswer: 3*l*(l - 70)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -2*s - 20. Let h(v) = -s + 2*v - 2*v + 7 - v. Let b(m) = -3*m**2. What is h(b(g))?\nAnswer: 3*g**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 1)*(5*l**2 - 5*l**2 + l**2)*(-2 + 4 - 1)*(5*l + 0*l - 4*l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 3460.728 decades?\nAnswer: 34.60728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z - 7. Let p be j(-13). Suppose 0 = 13*l - 16*l + p. Suppose 0 = -l*v - 3*v - 25. Put 5, v, 1 in decreasing order.\nAnswer: 5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2*r**2 + 30*r + 56. Let v be i(-2). Sort 1, 21, v in decreasing order.\nAnswer: 21, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 6285 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -13 + 27 - 40\/6\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -3*b**3 + 19 + 24 - 24 - 4*b**2 - 8*b + 4*b**3. Let t be y(5). Sort 5, 1, t, 28 in increasing order.\nAnswer: 1, t, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 10*h**2 + 15*h - 5. Let z be k(-8). Suppose x - 172 = -5*g + z*x, 3*x + 37 = g. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*l + 0*l + 36*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -293*c = -274*c + 12388. Let b = -647 - c. Suppose 0*h + 4*h = 16. Solve -h*u + g = -2*g + 2, -2*u + 6 = -b*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.2 and -1266.\nAnswer: -1265.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -131*m**4 - 143*m**3 + 178*m**4 - 10*m**6 + 6*m**2 - m - 232 - 47*m**4 - 9*m**6 wrt m.\nAnswer: -2280*m**3 - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (4 - 0 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = -3*j, -5*x = -7*x + 3*j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 90561482?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0010290082 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 425454?\nAnswer: -42545.4","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((1 + sqrt(275))*-2 + sqrt(275) + sqrt(275) + 1)*-6)**2.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/2 of a milligram in micrograms?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n**2 + 10*n - 2. Let r = 32 + -52. Let b(v) = v**2 + 20*v - 8. Let d be b(r). Determine f(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) -28456  (c) 4  (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-5\/9)*((a\/(a**(7\/3)*a))\/a)\/a assuming a is positive.\nAnswer: a**(-44\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -3204675 divided by 5?\nAnswer: -640935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 760 by 409435.\nAnswer: 152\/81887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 54 + 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.83 - 2.17. Let q = 1\/4 - -1\/12. What is the closest to q in -0.5, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41020 divided by -35.\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s - 2. Let p = 2 - -3. Let u(h) = 2*h**2 - 1248*h + 2. Let i be u(0). Let v(k) = 4*k + 4. Determine i*v(q) + p*m(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 759 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5259 and -0.5207.\nAnswer: 5258.4793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1023378452 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 27283912 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10*f*k**2*x - 26*f*k**2 + 9686*k**2*x + 101662*k**2 - k*x wrt x.\nAnswer: 10*f*k**2 + 9686*k**2 - k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 105\/44 and 39\/10.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -148093*x + 1036687. What is k(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 95024 and 624.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -18*i - 273. What is o(-16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 715057498 a multiple of 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -g - 2*g. Let h = 4 - g. Suppose h*s + 2*s + 41 = 3*r, -71 = -3*r - 4*s. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 398.2 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5486057*f + 5486057*f + 0*f**2 + 6*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 235558896.\nAnswer: 2, 3, 113, 137, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1 + 1. Let j be (-7)\/(-3)*(-6)\/21. Which is the nearest to -0.2?  (a) t  (b) -5  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -22 + (-27 - (-27 - 26))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + 2*u. Let k be s(0). Suppose k = -3*r - 0*l + 2*l + 167, -3*l = r - 52. What is the highest common factor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*l**3 - 25*l**3 - 4 - 4 + (2*l**2 + l**2 - 4*l**2)*(1 - 1 + 2*l) to a*l**3 + v*l + r + i*l**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 136\/3  (b) -1  (c) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 22271867*x**2. Let l(b) = -2*b**2. Give l(s(o)).\nAnswer: -992072119331378*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7273390*f*y**3 - 5*f*y + 2500383*y wrt y?\nAnswer: -43640340*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes before 11:18 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 288 and 293049.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -5791 divided by 50\nAnswer: -5791\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 30282 - 19045. What are the prime factors of n?\nAnswer: 17, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -1021*d - 1405. List the prime factors of a(-6).\nAnswer: 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 - ((2 - -3) + -19 - -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 14278936 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o + 10 = -5*g, 2*g + 3*o = -2 + 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2\/79 - 168\/395. Let h = 2.5 + -1.5. Let y = 0.04 - -0.26. Which is the closest to h?  (a) 4  (b) u  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12694853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 15647835395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 - 9*n**2 + 10*n - 12. Let p be 10 + 3\/(3\/(-2)). Let z be v(p). Sort z, 5, 41 in decreasing order.\nAnswer: 41, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2\/3 - 2282595*s.\nAnswer: s*(s - 6847785)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/7, -0.3, 0.4, 65685, -0.5 in increasing order.\nAnswer: -0.5, -0.3, 0.4, 4\/7, 65685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -9 - 7. Let z be (-1 + (-10)\/i)*2. Solve -13 = -z*b - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 393073711?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f. Suppose -30 - 14 = 4*i. Suppose -4*n = 20, 0 = -4*h + 3*n - 7 + 46. Let w(j) = -8*j + h - 6 + 2*j. Give i*m(g) + 4*w(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.05 - 0.05. Let f = -3 + h. Put 1\/3, f, -0.2 in ascending order.\nAnswer: -0.2, f, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 2\/7, 0.2, 1324 in decreasing order.\nAnswer: 1324, 2\/7, 0.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 158784261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 173389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 4*t + 0*t + 11 = 0, -r - 12 = -3*t. Is (9 - r)\/(2\/83) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -127710*d**3 + d**2 + 65*d - 2194.\nAnswer: -766260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 8006759*-6\nAnswer: -48040554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 601288971, 601288972, 601288973, 601288974?\n\"Answer: x + 601288970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 36 - 41. Let a be (6\/(-12))\/(-1*2). What is the closest to a in v, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b**2 - 34*b - 150. Let d be t(-9). Let p(w) = 16*w**3 - 7*w**2 - 7*w. Let l(z) = -17*z**3 + 6*z**2 + 6*z. Give d*p(v) - 7*l(v).\nAnswer: 23*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -56, 6\/7, -1?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1208 - -1278. Which is bigger: o or 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 491 + -349. Is t a multiple of 22?\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 234?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1*((-549)\/(-18))\/(9\/2 - 4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 take away 63?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-7))\/f**(-1\/48) assuming f is positive.\nAnswer: f**(-287\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 380849 is divided by 190412.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 2*l + 14 = 0, 706*l + 7 = -g + 702*l for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/q**7)\/(q*q**(-14)*q) assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o - 80 - 4. Let m = 28 - o. Let a(d) = d**2 - 5*d - 8. Determine a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**6*z\/z**35*(z**11)**(-2\/35))**(-30) assuming z is positive.\nAnswer: z**(6012\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -5674139 to the nearest 10000.\nAnswer: -5670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - 45 = -3*l - 6*n, -2*l = n - 29. Let z = -55 + 193. Suppose -3*t + t + z = 2*v, -5*v = -t + 75. What is the greatest common divisor of t and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -5*b - 7. Let u(v) = -5*v**2 + 56*v + 16. Let y be u(17). Let p = 474 + y. Determine z(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange j - 176 + 176 to the form r + y*j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = w**3 + 6*w**2 + w - 17. Let m be a(-5). Solve -4*j = l - 11, -j + 2*l - 10 = -m*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5760) + 2*sqrt(5760) + sqrt(5760))\/(sqrt(128)*-1).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -7 - 2*z + 4*z - z - 5*z. Let r be t(-3). Let v = 10 + -6. Is r at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.6 - 2.4. Let y = -2 - -1. Suppose 0 = 4*q - 5 - 3. What is the nearest to y in q, -0.5, a?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 - 5*p**2 - 8*p - 6. Give r(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 155 divided by -5\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -501440 divided by -3134\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 27\/(-12)*12\/(-9). Suppose -t*f + 5*b = -233, 5*f - 3*b - 367 = -0*f. Suppose 0 = -2*k + 1 + f. 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: Collect the terms in 22768*h + 28699*h - 5625*h.\nAnswer: 45842*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 4*n = -6*t + 233, 0 = t + 3*n - 62. Calculate the greatest common factor of 10783 and t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 AM and 8:11 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-288)\/1260)\/((138\/322)\/(3\/(-2))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 91902, 183803, 275704, 367605, 459506?\nAnswer: 551407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13805 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 14) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15008 (base 9) to base 6.\nAnswer: 115142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/((-1)\/((-30)\/(-9))). Let s(v) = -v - 8. Let f be s(a). Let z = 12 + -7. Solve -n = m + 2, z*m + n + 4 = -f*n for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 60685628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 3*c - 8 = c, f = 5*c - 2. Suppose u = -3*k - 7, 0*k = -f*u - 5*k - 5. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -93 - -93. Let s(m) = -m**2 - 7*m - 1. Let t be s(-7). Let h be u - 20\/18 - t. Which is the biggest value?  (a) h  (b) 2\/7  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of 2*g**5\/55 - 3*g**4\/11 + 6*g**3\/11 - 4*g**2\/11 + 31. Determine i, given that r(i) = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of 107*y + 5\/6*y**3 + 0 + 3\/2*y**2. Calculate h(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -93, -8, 274 in decreasing order.\nAnswer: 274, 2, -8, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f = 5*n + 12, -3*n + 2*f - 5607 + 5600 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 248 - 37. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1 - 2. Let o = 5 - 7. Is o less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u**2 + 48*u - 15*u**2 + 57*u - 105*u.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-109 - -12) + (-2 - (-16 - -5)) + 2 + 6.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 - 2)*(3*v**5 + 4*v - 4*v) + 52*v**3 - 53*v**3 + 43*v**5 + 0*v**5)*(-3 - 2 + 4)*(2 + 4 - 2).\nAnswer: -148*v**5 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 159516 and 1063440.\nAnswer: 3190320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 584 minutes after 11:50 AM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 less than -52781401231944?\nAnswer: -52781401231944.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -119 + 585. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1035 + 1052. Solve 43*x = t*x - 156 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 135*l**2*s*z**2 + 243*l**2 - 488*l*s*z - 985*l*z**2 wrt s?\nAnswer: 135*l**2*z**2 - 488*l*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*x - x + 2*x)*(9*x + 14*x - 186 + 187).\nAnswer: -23*x**2 + 68*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2512, 0.1, -26, -2, 0 in decreasing order.\nAnswer: 0.1, 0, -2, -26, -2512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 885 is divided by 59.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (4203\/33624)\/(3\/(-8))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7005*m**2 - 41 - 35*m + 41 + 35*m)*(0*m**3 - 2*m**3 + m**3).\nAnswer: -7005*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z**2 - 2*z + 2. Let h be 0 + 1 + 12 + -10. What is the units digit of q(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 965.9845 centuries in decades?\nAnswer: 9659.845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 141693?\nAnswer: 3, 73, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = -8, 3*y - 1 - 11 = -3*w. Solve 7*k + 5 = w*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -4*n**2 - 5*n + 11. Calculate r(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 5) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 31*m + 1. Let b = -201 - -262. What is the remainder when b is divided by n(1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) - sqrt(180)\/sqrt(10))*-6 - -1*(sqrt(72) + -2 + sqrt(72)))**2.\nAnswer: -96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 48901080 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 23102293, 23102292, 23102291, 23102290, 23102289, 23102288?\n\"Answer: -n + 23102294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**3 + 90*b**2 - 87*b - 7. What is r(29)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.12787856 to 3 decimal places.\nAnswer: 0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 5*h - 1062 = 0, p = -2*h - 372 + 1446. Suppose 0 = -7*m + 10 + p. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.188  (b) 5\/4  (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*r - 6*r + 3*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -2*b. Let j = 29 - 31. Sort b, 2\/13, j in descending order.\nAnswer: 2\/13, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13 + -15 - (-1023 - -2).\nAnswer: 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = -3*z + 11*p - 8*p, -2*z - 3*p = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 61460.\nAnswer: 2, 5, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -1\/8  (b) -0.5  (c) 0.4  (d) -0.036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (512\/(-7424))\/(((-2)\/2)\/1)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*u + 65 = -139. Suppose -3*k + u = -39. Let c = k - 18. Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -371, -354, -325, -284, -231?\nAnswer: -166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 + 22\/8)*4. Suppose 522*k + 27 = 525*k. Suppose -12 = -5*n - m - d*m, 5*n + k = 3*m. Solve i + t + 2*t - 5 = n, -2*i - 2*t - 2 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**22*c)\/c**(6\/5))\/(c*c**16*c*c**(11\/2)*c) assuming c is positive.\nAnswer: c**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -40233 - -1530?\nAnswer: -35403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 74.39935004 to one dp.\nAnswer: 74.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 15143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -85671687*l**3 + 1202*l**2 + 10*l - 163?\nAnswer: -514030122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -4  (b) 7  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -7526 divided by 142\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*v + 124 - 100 = 0, -20 = -3*x - v. Solve n = x*i - 1 + 3, 0 = -4*i - 4*n + 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -16*k**2 - 2040*k + 2046. Determine l(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, e: 3, d: 11}. Give prob of sequence dfff.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1265 - -2275. Calculate the greatest common factor of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c**3 + 2*c**2 - 40*c + 131. Is p(28) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -275 - 25 = -60*v. Solve 4*q = p + 12 - v, -p = -5*q + 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 110 = -3*t, -2 = 5*t - 2*o - 142. Suppose 5*p + t = 6*p. What is the greatest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(1\/4))**(6\/13)\/(u*u**(2\/5))**(-6\/25))\/((u**(2\/3))**(-49))**(-38) assuming u is positive.\nAnswer: u**(-12098599\/9750)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27.4, -3, -1, -2\/5.\nAnswer: -3, -1, -2\/5, 27.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 66 + 5*d**2 + 53*d - 28*d - 5*d**2 + d**4 wrt d?\nAnswer: 4*d**3 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 10186, 20538, 30894, 41254, 51618, 61986?\n\"Answer: 2*g**2 + 10346*g - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5\/82  (b) -170  (c) -71  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) - ((sqrt(360)\/sqrt(6))\/sqrt(3) + sqrt(20)))\/((sqrt(10) - sqrt(10)*3)*6).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 4*w - 2*w**3 + 2 - 3*w**2 - 2*w - 3*w. Let c = 86118 + -86120. Give l(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25662 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 5*b**2 - 6*b + 8. Let m be h(6). Let y be 2 - m\/(-6)*3. Let t be 3*y\/(-9) - -10. Calculate the highest common factor of t and 80.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7395*909.\nAnswer: 6722055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 12:56 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 12:25 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -331*a**5 - 2*a**4 + 4*a**3 - 19*a**2 - 165.\nAnswer: -19860*a**2 - 48*a + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -7*i - 1. Solve 4*r - 1 - i = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 645 = -63*t + 331 - 648 + 17 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 2*z - 3 = 0, -2*z - 2 = -2*t - 2*t. Let v(b) = b**2 + 5*b + 3. Let q be v(-3). Let j be -1 - 1\/2*q. What is the third biggest value in 4, t, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in ten ninths of a day?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8050817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9251315 and 9427?\nAnswer: 101764465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 99*z = 96*z + 11, 4*z - 6 = -j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 4. Suppose 22 = -r - 5*g, 0 = -r - 3*r + 5*g - 38. Let h be -6*(0 - (-8)\/r). What is the greatest common factor of b and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13026, 25632, 38248, 50880, 63534, 76216, 88932?\nAnswer: 101688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -173 - -153. Put 1, -2, 0.1, x in ascending order.\nAnswer: x, -2, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the second derivative of 14*z**3\/3 - 191*z**2\/2 + 4452*z. Determine d(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121*i + 119*i = -6. Suppose 2*f = -4*o + 12 - 4, f + 6 = i*o. Solve f = -4*n + h - 4, n + 5*h = h - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 8 = 24. Suppose 0 = -g + u + 9. Suppose 3*d = -g + 115. Does 15 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -233990000 to the nearest one million.\nAnswer: -234000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -88 - -82. Let t(s) = -5*s**2 + 2*s - 5. Let k(y) = 9*y**2 - 4*y + 9. Calculate g*k(o) - 11*t(o).\nAnswer: o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 36, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -66 - -179. Suppose 2*a + 4*d = 56, -6*a = -a + d - s. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1891927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-10)\/(-15) + (-75)\/(-9). What is the highest common factor of 63 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + 35 + (-13 - 9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4288474 and 118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Express -n + 192 + n**2 + 2*n**2 - 207 - 2*n**2 - 629 in the form p + y*n**2 + k*n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, n: 11, k: 1}. Give prob of picking 1 g and 2 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -4*n + 7*j - 1, 1 = j for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (8\/4)\/((-3432)\/(-2860))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 451 and 33210.\nAnswer: 365310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/12)\/((-1710)\/17955)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from see?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 26*t**3 - 12*t**2 + 6*t + 7. Let q(d) = -286*d**3 + 130*d**2 - 65*d - 78. Give 65*g(p) + 6*q(p).\nAnswer: -26*p**3 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**3 - 180*m**2 + 1544*m - 316. Give d(171).\nAnswer: 539","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 8, -1, -38, -5, -9 in descending order.\nAnswer: 8, 4, -1, -5, -9, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is g in -242*g**5\/7 - 202950*g**4\/7 + 30812400*g**3\/7 - 1312335000*g**2\/7 + 15736680000*g\/7 - 56862000000\/7 = 0?\nAnswer: -975, 90\/11, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 2, -1\/13, -27, -43?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:13 PM and 4:13 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -3*k**2. Let l(x) be the second derivative of -x**5\/60 + 2*x**3\/3 - 10*x. Let b(s) be the second derivative of l(s). Give h(b(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1189271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**36\/(u\/(u*u\/(u\/u**39*u*u))))\/(u\/(u\/((u*u**(-2\/3))\/u)))**(-37))**12 assuming u is positive.\nAnswer: u**580","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 39\/13 + -3 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of -11*a**4\/4 - 2*a**3\/3 + a - 177. What is k(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.3383 - -0.269. Let f = 0.068949 + t. What is f rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 PM and 6:28 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-53*w - 14210 + 14210)*(21 - 6 - 10).\nAnswer: -265*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5 - 5 - t**3 + (-3*t**2 + 4*t**2 + 0*t**2)*(-t + 3 - 3) - 4*t**3 + t**3 + 4*t**3 - t**3 + 0*t**3 + 0*t**3 - 5*t**3 + 2*t - 2*t.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/(-6)*(-698)\/(-1047))\/((-1)\/(-129))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 87 + n**3 - 48 - 39.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m + 174 - 27 = 0. Let w be (4\/3)\/(-2) - (-56)\/m. Solve w*c + 2*c + 4 = -2*q, -5*q - c + 8 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -8745.89 to the nearest one hundred.\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 - 11*r + 12. Let z be t(-12). Let m = 9 - -31. Let l be (6\/(-40))\/(45\/m). Which is the nearest to 1?  (a) l  (b) 0.1  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 13 = 3*d, 3*t + d = 7*t - 11. Suppose -20 = 2*j + t*j. What is the second biggest value in 2, 5, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216*i + 213*i = -h + 6*h - 19, -i - 2 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 4395, 4396, 4397?\n\"Answer: i + 4394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is two fifths of a century in years?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:14 PM and 11:38 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -86098 divided by 1463\nAnswer: -86098\/1463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7171*v**3 - 3642*v**3 - 3389*v**3 - 9148*v**3)*(2*v - v + v) to y*v**2 + k*v**3 + s*v + i + f*v**4 and give f.\nAnswer: -46700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the third derivative of -z**5\/3 - 7*z**3\/3 - 12*z**2. Suppose 0*n - 2*n = -6. Let o(u) = 2*u**2 - n - 3*u**2 - 2 - 6*u**2. Give 14*o(p) - 5*v(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 72986 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 11043*h + 3239 wrt h?\nAnswer: 11043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*i**2*u**3 + 4*i**2*u**2 + 2322*i**2*y**2 - i**2 + 20415*i*u**3 + 159*u**3*y + 1 wrt y?\nAnswer: 4644*i**2*y + 159*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u**2 - 5*u + 3. Let f be b(-5). Suppose -60 = -f*v - 2*v. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 413549 divided by 37?\nAnswer: 11177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -14*z**2 - 26*z + 1. What is a(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 24132454*x + 121356023 wrt x.\nAnswer: 24132454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2 + sqrt(5))*-3 - sqrt(50)\/(sqrt(30)\/sqrt(3)))**2.\nAnswer: -48*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1810 in -77, -8, -0.1, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 929212.9 nanometers?\nAnswer: 0.09292129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eoeg when four letters picked without replacement from {o: 2, g: 2, e: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x\/((x**(-37)\/x)\/x)*((x\/(x*x*x**(-3\/7)*x))\/x)\/x*x assuming x is positive.\nAnswer: x**(269\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the third derivative of 1\/30*b**6 + 1\/20*b**5 + 0 + 0*b**3 + 0*b**4 + 9*b**2 + 0*b. Find the third derivative of g(q) wrt q.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.062 + -0.682. Let x = b - -0.38. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3*n + 4 = 0, 2*n + 19 = 3*g. Let h be 1*g*(10 + 7). Calculate the greatest common divisor of 17 and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8522.9992977 + 8523. What is z rounded to 5 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wnq when three letters picked without replacement from ngrgwqq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gqq. What is prob of picking 1 q and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.668483 to 3 dps.\nAnswer: 2.668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 157811 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.7 + 1.5. Which is the closest to -0.1?  (a) z  (b) 0.3  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 9270 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 101251*a**2 + 2*a. Let h be w(-4). Let l be 2*(-1 + 0) + 6. Suppose 0 = 3*x + 4*d - h, -x - x + 1080008 = l*d. Round x to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s**2 + 12388098*s - 12788747671467 = 0 for s.\nAnswer: 2064683","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 28\/(-6) - 8\/(-12). Find the common denominator of 1 + 10\/(-16)*18 and ((-246)\/8)\/((-10)\/o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 230 + 220 = -5*m. Let l be (5\/(-15))\/(2\/m). Suppose 5*t - 105 = -l. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s**3 - 4*s**2 + 3*s - 2. Let b be (-21)\/3*(3 - (-23)\/(-7)). What is l(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -4 - 22?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 10.3. Let o = g - -1.125. Let b = o + 0.105. Round b to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4\/3  (b) -5  (c) -0.5  (d) -29\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -88\/3 - -29. Let p = 0.62 + -0.52. Which is the closest to 1?  (a) t  (b) p  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2875 and 621?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 39 - -5. Suppose 4*x - 24 = d. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 195*i**2 - 2*i + 1. Let k be m(2). Suppose 3*p - k = -0*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 206071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.5 - 5.6. Let i = m - -3. Let p = 18 + -15. What is the nearest to i in -2\/13, p, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/(-2))\/(3\/72). Let m = c - -49. Suppose -3*g - z = -97, g + 5*z - m = -0*z. Is 16 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 81180302?\nAnswer: 81180300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 22  (b) 36\/11  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/837 and -58\/2331.\nAnswer: 216783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 4, o: 2}. Give prob of picking 2 w and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**(1\/5)*c))\/c)\/c*c*(c**(1\/9)*c)\/c*(c*c**(1\/5))**30*((c**(-1\/10)*c)\/((c**4\/c)\/c))\/((c\/((c\/(c\/(c*c**4))*c)\/c*c)*c)\/c**7) assuming c is positive.\nAnswer: c**(3943\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2797492?\nAnswer: 2, 699373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * 27\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4\/3  (b) -4\/7  (c) 0.067\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -68\/9, 1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2890495 and 4155.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sms. What is prob of sequence mss?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.285 + -17.585. Let r = 58.7 - y. Let j = -84 + r. Which is the nearest to -2\/5?  (a) -1  (b) j  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**(-5))**(-11)\/(b\/(b\/(b**(8\/5)*b))*b*b*b*b)**(-19) assuming b is positive.\nAnswer: b**(847\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(2\/11)*g*g)\/(g\/g**(2\/11)*g))**11\/(((g**(-2\/5)\/g)\/g)\/(g**(-6)*g*g))**(-29) assuming g is positive.\nAnswer: g**(307\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132301362?\nAnswer: 2, 3, 331, 66617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 33.1271127 rounded to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19 + u - 2*u - 26 - 89 - 26 to v + d*u and give v.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 plus 6.09?\nAnswer: 6.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83 = 3*b + 4*c, 5*b - 5*c + 776277 = 776407 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -122.47 + 124. Round q to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 7 + -1 + (15 - 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 733531069 to the power of 1\/3, to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w - 76*w**3 - 3*w + 47*w**4 - 19*w**4 - 24*w**2.\nAnswer: 4*w**2*(w - 3)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 286178.\nAnswer: 2, 17, 19, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 75241 is divided by 75094?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.62 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 85236154 and 66758?\nAnswer: 2302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -4  (b) 4  (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 20489744 to the power of 1\/2, to the nearest integer?\nAnswer: 4527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of h**5\/60 - 559*h**2. Let j(a) = 238*a + 1. Calculate m(j(f)).\nAnswer: 56644*f**2 + 476*f + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - ((-136)\/56 - 0).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1094548 and 39494.\nAnswer: 7661836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 258\/16625?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of p**6\/3 - 14*p**5\/5 + 17*p**4\/2 - 34*p**3\/3 + 6*p**2 - 45. Determine z so that u(z) = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77\/5 of a micrometer in nanometers?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.2, 457, 3\/8, -3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 24aa (base 12) in base 11?\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3236\/11 - -294. Let x be (-1)\/(-2)*(1 - 2). Let t = -25\/126 + 2\/63. Which is the nearest to x?  (a) h  (b) -0.5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 376836 and 218808.\nAnswer: 6783048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000000269404 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1618*s**2 - 832*s**2 - 13*s**3 + 26*s**3 + 405*s**2.\nAnswer: 13*s**3 - 2045*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 2*f + 13 - 2*f - 2 - f. Let l be k(5). Solve 2*m = -2*i - i - 9, -3*i - 3*m - l = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3431535 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141 + 65 = 30*l + j, j + 37 = -28879*l + 28882*l - 3*j for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -1\/28 and -33\/98.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -10*z - 1. Let p be v(4). Is 7 a factor of 5\/10 - p\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 250 + -208. Let r(v) = 2*v**2 + 4*v + 4. Let d be r(-3). Let m = d + -3. What is the highest common divisor of m and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 - 8*k + 24. Does 15 divide m(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 32*l + 166. Let h = -80 - -75. Let f be q(h). Let t(v) = v**3 - 6*v**2 - 3. What is t(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - v = 34. Let f = -2328 - -2360. Which is smaller: v or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13.8 + -6.7. Let m = 7 - f. Let a = -118\/5 - -24. What is the smallest value in 3, m, a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 41 or 59?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*m - 3*g, -27*m + 31*m + 2*g + 16 = 0. What is the nearest to -2\/3 in -3\/8, m, -3\/164, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5520.09*-0.1\nAnswer: -552.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-19310)\/75 - 45\/1350)*6\/15?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*k + 13 - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + g**2)*(5 - 1 + 2) - 9*g**2 - 10*g**2 + 9*g**2.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 472895 and 58807.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 698.1976 litres to millilitres.\nAnswer: 698197.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w**3 + 14*w**2 - 47*w - 6. Let g be s(7). Solve 3*i - 5*i = -3*b + g, 4*b + 3*i = 5 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*(-8)\/(-64)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -25*l + 43. Let p be o(1). Solve 5*w + 6 = n - p, 0 = -3*w - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*w**3 + 10*w**3 - w**3 - 5*w + 2 - 2 - 10*w**2.\nAnswer: -5*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 12151*q**2. Let j(t) = -2*t**2. Determine j(i(m)).\nAnswer: -295293602*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**15)*n)\/(n**(6\/13)\/n))\/(n**17\/(n*n*n**16)) assuming n is positive.\nAnswer: n**(228\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*i**3 - 2*i**4 + 0 + 388 + 426 + (-2 + 2 - 1)*(-1 - i**4 + 1) to the form t*i**2 + v*i**3 + p + d*i**4 + a*i and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 0.3, -69\/7, -23, -0.07, -0.5?\nAnswer: -69\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -10. Let b(o) = -o**3 - 5*o**2 + 4*o - 6. What are the prime factors of b(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 3 = -3*z, 230*x = -2*z + 229*x for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38838316 divided by 22.\nAnswer: 1765378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -6 * 0.0728\nAnswer: -0.4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-15 - -24) + -1?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 371, 603, 585, 191, -705, -2229?\n\"Answer: -21*q**3 + q**2 + 376*q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 252 divided by -9\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 141 and 658.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 6130.983ng?\nAnswer: 0.006130983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*y + 4418 - 4391 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-18) + (-1320)\/108 + 14. Suppose 4*w + 14 = 2*p, -p = i*p - 3. What is the smallest value in -0.14, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -36 in -1, -1\/5, 2, 1\/7, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 89*v + 1036 = -43*v - 16*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + -0.2. Which is the smallest value?  (a) -4  (b) p  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.049 in 0.4, -24\/5, -7\/6, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + sqrt(720) + (1*sqrt(720))**2 - sqrt(720)*2*-2.\nAnswer: 60*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -14b2be - -24?\nAnswer: -14b29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -4*o - 9. Let p be x(-4). Suppose -d + p = -16. What are the prime factors of d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15 (base 13) to base 16.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -6\/7  (b) 0.4  (c) -0.1  (d) -409  (e) -0.2  (f) -21  (g) -1\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/27)\/((56\/9)\/(1980\/495)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 39521.94*0.3\nAnswer: 11856.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 40496*m. Let l(k) = -57*k**2. Give l(a(o)).\nAnswer: -93475782912*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o + 12. Let u be t(2). Suppose -2*x + 20 = 3*l, -32 = -4*l + 2*x - u*x. Calculate the highest common divisor of l and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m - 11*m + 22*m - 915 = 0. Calculate the greatest common factor of 1403 and m.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**2 - 78*q + 11. Let a be b(-10). Let g = -889 + a. Solve g*s - 2*j = 3*j - 13, s - 3*j + 7 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -116 - -111. Sort -1, a, -4 in descending order.\nAnswer: -1, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -51 + 9 + (-15 - -23).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-2 + 7 + -4) - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -240  (b) 5\/3  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (2*sqrt(1053))**2 + sqrt(1053) - (-3 + 0 + sqrt(1053)))*-1.\nAnswer: -4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1.2 - -3. Let d = v + -6.8. Which is the second smallest value?  (a) 4  (b) d  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4.11 + 4.21. What is the nearest to h in 2\/79, 2, -1\/4?\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (8 - 10) - (-37 + 56)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 5*r = -1, -9 = 603*r - 600*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -315436 + 514539. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 7}. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 5*d - 4. Let a(f) = -f**2 - 11*f + 8. Give -2*a(u) - 5*i(u).\nAnswer: 2*u**2 - 3*u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1293734 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: Let c(r) = -2*r**2 - 4. Let y(x) = -25*x**2 + 2. Determine c(y(b)).\nAnswer: -1250*b**4 + 200*b**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1491369 is divided by 158.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 10*a**2 + 18636466*a - 7454588 = 0?\nAnswer: -1863647, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of -s**5\/360 + s**4\/12 + 79*s**2 - s. Factor q(w).\nAnswer: -w*(w - 12)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 91 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 3*y**3 - 23*y**2 - 69*y + 401. Calculate p(7).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, -3, 22, 74, -4.\nAnswer: -4, -3, -1, 4, 22, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(320) + 2 + 5 - sqrt(320)) + (3 + sqrt(320))*1*2 + -3)**2 + 3.\nAnswer: 768*sqrt(5) + 1859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20193 is divided by 5042.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1351, -1555, -1759, -1963?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91 + -15 + (14 - -19) + 3.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*f + 3*i + 1, 2*f - 3 = -i. Factor 2\/5*j**f + 2\/5*j + 0.\nAnswer: 2*j*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*w**3 + 8*w**3 + 8*w**3)*(-5 + 14 - 7) - w**2 + 3*w**3 + w**2 to the form r + l*w**2 + o*w**3 + b*w and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -395\/14878 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) be the second derivative of -779*z**4\/3 - 2724*z. Let q(g) = 3*g**2. Determine q(t(y)).\nAnswer: 29128368*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -2\/5  (b) -3  (c) -33  (d) 1\/2  (e) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 48 = -2*q - 12, 2*q = -2*t + 18. Let a(g) = 2*g**3 - 15*g**2 - 23*g + 13. What is the units digit of a(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2575731 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llq when three letters picked without replacement from {o: 6, w: 2, i: 1, l: 7, q: 1}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -50*w**2 + 175*w + 7. Let v(m) = 43*m**2 - 176*m - 6. Let p(u) = -6*q(u) - 7*v(u). Let n(h) = -h. Give n(p(d)).\nAnswer: d**2 - 182*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -1044091.\nAnswer: -5\/1044091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 1 c when three letters picked without replacement from {c: 2, u: 1, d: 4, w: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.486653604 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 + -8 - ((-4)\/(-14) + 47607222\/(-91)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 0.013  (b) 2  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 10*s**3 + 7*s**2 - s + 7. Let o(r) = -r**2 + r - 1. Let j(l) = -c(l) - 4*o(l). Let q(w) = w**2 + w + 1. Determine j(f) + 3*q(f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(102) - sqrt(102)) + sqrt(102))*5 - 6*sqrt(102)*-5)\/((-3*sqrt(60)*2)\/(sqrt(10) + (sqrt(20) + sqrt(20)*1)\/sqrt(2))).\nAnswer: -35*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 50959 divided by 820\nAnswer: 50959\/820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -111 + 171. Calculate the smallest common multiple of r and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 51 - 53. Let k be (-2)\/(-4) + 15\/(-38). Which is the third biggest value?  (a) k  (b) -0.4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4846*z**3 + 63228*z**2 - 136332338*z wrt z?\nAnswer: -29076*z + 126456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 11*t**3\/3 - 1. Let y(b) = -3*b + 5. Suppose 11 = 4*g - 9. Let l(a) = 2*a - 3. Let n(v) = g*l(v) + 3*y(v). Calculate n(q(c)).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -270699107\/5 or -54139821?\nAnswer: -270699107\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 7 = -1. Suppose -3*d = -l*d - 9. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 2*g - 5 + (1 - 1 - 2*g)*(-3 - 2 + 7) + 6*g - 4*g - 3*g + 2*g - 5*g + g - 1 + 2*g + 1 + 0*g + 4*g + 2*g in the form k*g + j and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4041989569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2211 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9, 35, 77, 135, 209, 299, 405?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2640529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1)\/7 + 104070\/105 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 0.3, 137, -2, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2352*z**3 + 80*z**2 + 2463535*z?\nAnswer: -14112*z + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of -3*p**4\/8 - 4*p**2. Let n be (-2)\/(-28) - ((-15114)\/(-308) + -47). Calculate j(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -14 - 2. Factor -3*r**2 - q*r - r**2 - 4*r**2 - 4*r**3.\nAnswer: -4*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d**2 - d. Let f be 322\/((-14)\/21*(-6)\/26). Let g(o) = -f - 6*o - 4*o**2 + 0*o + 2095. Calculate -2*g(j) + 10*u(j).\nAnswer: -2*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is (-19)\/(171\/411)*-141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6717677 is divided by 363.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -244 + 252. Solve 3*x - n = u, 3*u + 2*x - 20 = -0*x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 + 30\/9)\/(2\/3). Let q(v) be the second derivative of 3*v + 0 + 1\/12*v**4 + 0*v**3 + 1\/42*v**7 + 0*v**z - 1\/20*v**5 - 1\/30*v**6. Factor q(b).\nAnswer: b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + (-3*1*sqrt(121) + sqrt(121) + sqrt(121))\/(sqrt(99) - (sqrt(99) + -2*sqrt(99)) - sqrt(99)))**2.\nAnswer: 2*sqrt(11) + 92\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -3*p - 8 - 4, 4 = 5*p - o. Suppose p = -6*n + 9*n - 393. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**2 + 2*a - 2. Suppose 2*n - 28 = -5*n. What is the units digit of f(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from yyppppyp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1452651 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5235 + -5204. Let u = 0.1 + -0.5. Which is smaller: s or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 2*g - 2. Let n be 4*(25\/(-4))\/(-5). Let a(s) = 2*s - 3. What is n*a(r) - 6*z(r)?\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-7)\/x**(-2\/5)*(x**5*x)**13)**(1\/7) assuming x is positive.\nAnswer: x**(51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of l**6\/12 - l**5\/60 + 16*l**2. Find the third derivative of d(t) wrt t.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-138)*2)\/((-7)\/21)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 21 = 5. Suppose 63 = -5*c + 12*c. Solve c = p*s - 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -376 - -331. Let s be (-189)\/d - 4\/(-5). Let l = 1 + 1. Solve 5*z = -4*n - 4, l*n + s*z + 2 = z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from fppppepfe.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.16 + -4.16. Which is the nearest to -2?  (a) 2\/13  (b) -3\/5  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that p**5\/4 + 2135*p**4\/4 + 569241*p**3\/2 - 288360*p**2 - 1710936*p = 0.\nAnswer: -1068, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*g**3 + 23 - 23 + (-g + g**2 + g)*(-11 + 11 - 5*g))*(-4*g + 6*g - 3*g)*(-1 - 2 + 4).\nAnswer: -14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (3467*p - 5267*p + 3106*p)*(-p**3 - 2*p**3 + 5*p**3) as z*p + j + n*p**4 + r*p**3 + o*p**2 and give n.\nAnswer: 2612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - ((16 - 7) + -1) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 at most as big as 41\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p**4 - p - 1. Let j(u) = 21*u**4 + 9*u**3 - 3*u**2 + 6*u + 12. Let g(n) = j(n) + 15*m(n). Solve g(k) = 0 for k.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-6)\/4)\/((-19)\/((-304)\/6)). List the prime factors of ((-8)\/(-2))\/(k\/(-632)).\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 740503172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*y - 26. Suppose -y*q + 24 = -2*q. What is the lowest common multiple of q and 5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.9 + -7. Which is the closest to 0.1?  (a) -0.04  (b) u  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 90*x - 3*x**2 + 3*x**2 - x**2 - 2 - 83*x. Let n(m) = -m + 3. Let s be n(-4). Suppose -b = -4*p - 11, -3 = -b + 3*p + s. Give j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 11 = 6*z + c, 4*z - 5*c = 21. Let b(f) be the second derivative of -f**3\/6 + 9*f**2\/2 - f. What is the units digit of b(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5.1 - 6. Let u = -0.2 - 0.4. Let f = u - n. What is the nearest to 0.1 in -0.4, -0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3\/2*a**2 - 9\/4*a**5 + 3\/4*a**3 - 3*a**4 + 0*a + 0 = 0 for a.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -2 - -3 - (11 + (0 - 10)). Sort b, 1, -8, 2 in decreasing order.\nAnswer: 2, 1, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*c + 0*c + 2*c**2)*(0*c + 3*c + 3*c)*(5 - 3 + 0) as y + b*c**2 + u*c**3 + q*c and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + b - 7 = -r, 4*r = 12. Let t be 81\/18 - 2\/4. Solve -t = -y, 2*c + 20 = -c + b*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 12, r: 1}. Give prob of sequence xxr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3\/28 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ftu when three letters picked without replacement from itfeuyf.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes before 9:10 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 5 = 3*g. Let y = -6 + 6.3. Let x = y + 0.7. What is the nearest to x in 0.4, g, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 827 is divided by 430.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-340391 + 170164 + 170157 + 25*h)*(0*h + h + h).\nAnswer: 50*h**2 - 140*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 53853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2220*i + 3835*i - 5 + 3)*(-1 + 1 - 2) in the form k + f*i and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 36 + -36. Suppose 3*g - 12*g + 36 = p. Solve -6 + 26 = -g*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 442*q - 2. Let b be c(1). Suppose 0 = 3*p + 83 - b. Suppose 0 = -5*y + p + 96. Does 9 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-78))\/((-20)\/30)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00587945 to five dps.\nAnswer: -0.00588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -3*r + 2. Let j(v) = -31*v - 27. Give j(g) + 6*s(g).\nAnswer: -49*g - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((784\/35)\/2)\/((-212)\/(-1060))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*r - 0*r + 160. Let a(v) = 10*v + 103. Let z be a(r). Solve -z*k + 0*k = 5*j + 6, -4*j = 3*k + 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 AM and 5:13 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*x - 92 = -47*x - 296 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {f: 2, r: 2, b: 1, y: 1, i: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + 144222130?\nAnswer: 144222122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 2, g: 1, q: 1, e: 2}. Give prob of picking 1 g, 1 q, and 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 - (-16 + -6 + (0 - -10) - -51).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) be the third derivative of -q**9\/60480 - q**7\/5040 + 17*q**6\/360 - q**5\/20 + 2*q**2. Let w(c) be the third derivative of k(c). Does 13 divide w(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 * -0.22.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3513, -6698, -9809, -12846, -15809?\n\"Answer: 37*j**2 - 3296*j - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2030 + 41?\nAnswer: 2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7\/2*b**2 - 7\/2 - 1\/4*b + 1\/4*b**3.\nAnswer: (b - 1)*(b + 1)*(b + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 740749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/15 in -5, -0.1, -64?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a + 14. Suppose -3*t - 4*k - 73 = -62, -5*k = -4*t - 56. What is u(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*k + 32*k + 108*k - 16*k + 96*k.\nAnswer: 238*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5695 - 11215 + 3321)*(-g**3 + 2*g**3 - 2*g**3).\nAnswer: 2199*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - -2 - (5 - -2) - -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 430.1 - 442. Let m = -13.1 - -1.1. Let w = m - j. Which is the nearest to 2?  (a) -3  (b) 3  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -16*a**3 + 10*a**3 - 11 + 8*a**3 in the form x*a + r*a**3 + t + k*a**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w*w**(-1\/3))**(-47)\/(w**(-3)\/(w\/(w**(1\/8)\/w))))\/((((w\/w**(-1))\/w)\/w)**(-17)*w**0\/((w**(-4\/7)*w)\/w)) assuming w is positive.\nAnswer: w**(-4541\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -251*q**3 + 7*q**2 - 3. Give b(1).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 249.1073 - 5?\nAnswer: 244.1073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that -q**3\/6 + 1948*q**2\/3 - 42763*q\/6 + 18130 = 0.\nAnswer: 4, 7, 3885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.13*-7.\nAnswer: -0.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 14 (base 6) to base 8\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*g + 0*g + 3*g)*(-1 - 4 - 1) in the form k*g + f and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4, 6, 3, 21, -3, 1407 in increasing order.\nAnswer: -3, 0, 3, 4, 6, 21, 1407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 64, 5 in ascending order.\nAnswer: 1, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve l - 3*b - 13 = -0*b, -17 = 3*l + 5*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 + -2.05. Let f = x - -0.35. Let n = 41.14 - 41.04. Which is the nearest to -1\/3?  (a) f  (b) n  (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 14040*t**3*v**3 - t**2*v + 17100*t*v**3 wrt t.\nAnswer: 84240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10.2 + -13.2. Is w > 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2c (base 15) to base 9.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -66.99999908 - -67. What is h rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1212.9102 to 0 decimal places.\nAnswer: -1213","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(2\/5))**(-3\/7))**4 assuming f is positive.\nAnswer: f**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 180 and 5424.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 - 141 = -42*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 61845\/(-3458) - (-3)\/(-390)*15\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5112 - 5112. Solve r - 4*l = -9, -4*r + g - 23 = -3*l for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11*k**3 - 3*k**2*z + 106*z wrt k.\nAnswer: 33*k**2 - 6*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*s**2*v**3 + 28*s**2*v - 1101*s**2 - 2*s*v**3 + 2*s*v - 2*v**3 - 4862 wrt s.\nAnswer: 14*v**3 + 56*v - 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the third derivative of x**5\/60 - x**3\/3 - x**2 - 68*x. Let k(o) = -o**2 + 3. Determine -3*k(m) - 5*z(m).\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve w = 5*p, 3*w - 3*p + 7 + 5 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6082 times 0.29?\nAnswer: -0.466378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/((-84)\/(-88193)) - 12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 504718?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-302524*v**2 - 93*v**4 - 3 + 302524*v**2 + (-v + v**2 + v)*(2*v**2 + 0*v**2 + 0*v**2) - v**4 + v**4 + 2*v**4)*(2*v - v + 2 + 0*v).\nAnswer: -89*v**5 - 178*v**4 - 3*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 7\/1 - 6\/3. Let r(d) = 4*d**2 + 5*d**3 - 3*d**2 - 4*d**3 - 6*d**2 - 5 - l*d. Suppose 4*h + 20 = 2*k, h - 30 = -4*k + 4*h. Give r(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a**2 + 15174*a - 19187523 = 0. Calculate a.\nAnswer: 2529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 11:15 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -1 and -549?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -87850 * 4.1\nAnswer: -360185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -q**3\/3 + 119054*q**2\/3 - 1182264963*q + 66082445352 = 0?\nAnswer: 56, 59499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o = -9*o - 1603. Let p = -96 - o. Is 21 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1686011 take away -0.06?\nAnswer: 1686011.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 minutes after 3:35 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 72\/11 in -1, -2, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 192*j - 4782. What is r(25)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -6370.2948 to the nearest one hundred.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1626 = -a + v + 1594, 3*a + 2*v - 44 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1 + 0)\/((-14)\/(-4)). Let h = 3177\/11 + -289. Which is the second smallest value?  (a) n  (b) h  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (0 + -2)*(-79)\/158. Put -1, 7, -9, v in descending order.\nAnswer: 7, v, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*b**2\/7 - 208648*b + 19046119708.\nAnswer: 4*(b - 182567)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -11*h - 14. Let q(z) = z + 1. Let x(m) = 2*a(m) + 18*q(m). What is the remainder when 15 is divided by x(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 6*x**2 - 13*x. Suppose -w + 18 = -2*j, j - 2*w = -0*w - 9. Is 8 a factor of t(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 11 + -11.06. Let y = m - 4.94. Let x = -4.875 - y. What is x rounded to two decimal places?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 340 and 380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2012170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7489124*w**2 - 1544073 with respect to w.\nAnswer: -14978248*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*m + 3*m + m - 2*m - 3*m.\nAnswer: 7*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7604 by 1.\nAnswer: 7604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 9327122 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 32*h - 21 - 2*h**3 - 36*h)*(-1 + 3 + 2)*(0 - 1 - 1).\nAnswer: 16*h**3 + 32*h + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -552 + -13?\nAnswer: -1005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37*1*(-22)\/4*380\/(-6270).\nAnswer: -37\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of s**5 - 18*s**3 + 27*s**2 - 17*s + 6 wrt s.\nAnswer: 20*s**3 - 108*s + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*l = 70*l - 4123. Calculate the greatest common factor of 574 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 8180\/73 or 112?\nAnswer: 8180\/73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-86)\/43*(-10)\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -2*z**2 - z - 5. Let w(o) = 1228*o**2 - 3*o - 15. Give 6*q(r) - 2*w(r).\nAnswer: -2468*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -3*c**3 - 464*c**2 - 320*c - 889. Calculate the smallest common multiple of d(-154) and 3.\nAnswer: 2877","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(3*sqrt(980))\/sqrt(4))**2 + -4.\nAnswer: 79376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.008470292 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 7:45 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0208857652 rounded to 3 dps?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 - 4*r + 2. Let q be o(-4). Let z be -1 + (2*-1 - -5). Let k be 1\/z + 1\/(-2). Solve 0 = w - k*w + q for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i = -4, -2*i - i - 20 = -4*g. Suppose g*p - 4*p - 52 = 0. Let r = p - 13. Solve 2*y - 6*y + 12 = r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:03 AM and 6:44 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c - 129 - 3. Let b(m) = m**3 + 19*m**2 - 27*m - 11. Calculate the remainder when b(-20) is divided by c.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6800195 and 7285.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 576 minutes after 4:24 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2450*p**5\/11 - 142870*p**4\/11 - 1250332*p**3\/11 + 487008*p**2\/11 + 751680*p\/11 + 13824 = 0.\nAnswer: -8, -12\/35, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6141, -17228, -28315, -39402?\nAnswer: -50489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 12, 14, 18, 24?\n\"Answer: x**2 - x + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 411805694 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - -1. Suppose q = -2*l - 1, 3*q - l + v + 1 = 0. Let o = -2 + 2. Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**2. Let a(q) = 12624 - 12624 - 10*q. Determine z(a(r)).\nAnswer: -200*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 + 166*c**2 + 2508*c + 2411. Calculate l(180).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 95528235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/153906030 and -157\/720?\nAnswer: 1231248240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -674 + 2433 = q + 5*f, -3*f = 6. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -604\/7 <= -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = l + 2*i, 0 = -3*l - 5*i + 2 + 1. Let f be 0 - (-23695 - -2*l). Suppose f + 6807 = -5*r. What is r rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:48 AM and 8:24 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 1435 divide 182957703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*y + 13*y - 6*y + 2*y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/4328 and 1\/4.\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 0*d - 3*d + 2 - 13. Calculate the smallest common multiple of v(-9) and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 822 and 270712?\nAnswer: 812136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120209.\nAnswer: 120209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {n: 2, e: 1, y: 2, h: 5, a: 4, c: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6200157306?\nAnswer: 2, 3, 7, 103, 149, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 220491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62398751?\nAnswer: 47, 353, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/7)*t)**(15\/2))**8 assuming t is positive.\nAnswer: t**(540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24791 - 24790.999968501. What is w rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 2*r + 213 = j, -r - 4*j = -96. Let a(l) = 5*l**2 - 3 + l + l**3 - 3 + 3. Let x be a(-3). Calculate the greatest common divisor of r and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 26, 105, 326, 761, 1482, 2561, 4070?\n\"Answer: 12*f**3 - f**2 - 2*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 7:57 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-208)\/26*6\/(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10 and 60290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3 divided by 44035\nAnswer: 3\/44035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9613 is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 24?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - 15*x**2 - 38*x - 25. Let v be i(-12). Suppose -8 - 12 = -4*w. Put w, -2, v, 3 in ascending order.\nAnswer: -2, v, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -16896*o**5 - 70848*o**4 - 930*o**3 + 47043*o**2 - 5799*o + 180 = 0.\nAnswer: -4, -1, 1\/16, 15\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - -1. Let v be (-1)\/(-2)*(-5 + f). Suppose 18 = 5*r - v*r. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 19887 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (-13 - 0 - -6) + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 155571649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*2\/12 - 168\/16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -0.5  (b) -6.06  (c) 8  (d) -0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -386 + 570. What are the prime factors of z?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the second derivative of 40 - 1\/3*f**4 + 1\/20*f**5 + f - 1\/2*f**3 + 5\/2*f**2. Calculate v(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*n - 16*n + 9*n + (3 + 1 - 3)*(-n + 0*n + 0*n) - 3*n + 5*n - n to c + x*n and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and 3323?\nAnswer: 26584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/360 and 133\/7956.\nAnswer: 79560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -229212*y + 457031*y + 318204*y.\nAnswer: 546023*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20999, -40790, -60581, -80372?\nAnswer: -100163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = n - 3*p - 166107, -5*n - 2*p = -830425. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p + 1. Let v(w) = 11*w + 3. Let x(a) = -6*g(a) + v(a). Is x(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11925437701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**2 + 6*y**2 - 2*y**2 + (-13*y - 57*y + 11*y)*(-y + 4*y - 2*y).\nAnswer: -57*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}