{"text":"Question: Calculate the remainder when 482 is divided by 186.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/312300 and -181\/210.\nAnswer: 2186100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/6, -20, -31, -4.7, 0.19?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2880 and 9\/(-2)*(-508)\/381?\nAnswer: 2880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2272*v + 22713. Determine k(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6908 is divided by 2301.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 35700 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 663564\/1404 + (-4)\/(-26). Let b = x - 483. Let z = b - -169\/18. Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 c when two letters picked without replacement from ttytyddytyytytydcy?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 2260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y**2 - 6*y + 5. Let n be v(5). Suppose -2*c + 2*p + 150 = n, c - 72 = 2*p + 1. Suppose 0 = -2*z - m + c + 66, z + 2*m - 70 = 0. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -109916, -5, -3.\nAnswer: -109916, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 962 is divided by 321.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:53 PM and 5:14 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 103, 314, 587, 922, 1319, 1778, 2299?\n\"Answer: 31*h**2 + 118*h - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 6 + 3)*(4*a - a - a) + 3*a - 4*a + 2*a + 2 - a - 2 + 2*a - 4*a + 0*a + (-3*a - 3*a + 4*a)*(1 - 2 + 3).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 14 = -82*o + 80*o + 6, -33*f - 5*o = 58 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.32 + -0.305. Let p = b + -23.015. Let i = p + 21. Which is bigger: i or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 951?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7408\/(-277800))\/((-14)\/30).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, u: 1, c: 1, j: 2}. Give prob of picking 1 c and 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.6643 - -10087.2.\nAnswer: 10085.5357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (1*5*-5*-2*(sqrt(288) + sqrt(288) + 1 + -1 + sqrt(288)))**2)*4.\nAnswer: 25919980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*k**2 - 130*k - 700 = 0. Calculate k.\nAnswer: -5, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(48) + 2)*1.\nAnswer: -2 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = 2*s - 665, -4*h - s + 565 = -325. List the prime factors of h.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -35684 - -35721.333. Let c = -0.467 - m. Round c to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (3 + -8) - (1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1621.8 + 1842. Let x = 224 - q. What is x rounded to zero decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -3138222 and -3138223 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1754850 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - 1)*(4 - h - 4 - 1)*(-1 + 2 + 2) to the form u*h + f and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -9, -1326.\nAnswer: -1326, -9, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 150612.\nAnswer: 2, 3, 7, 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 566 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**5 - 2592*i**4 + 5196*i**3 - 2600*i**2.\nAnswer: -4*i**2*(i - 1)**2*(i + 650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate d*j*n + 17497*d*n - 2*d - 5111*j*n - 9*j + 2*n - 2 with respect to d.\nAnswer: j*n + 17497*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-5) - 364\/(-10). Suppose r = -f + 12. Let c be (r\/(-20))\/2*15. Solve 0 = -h - 2*h - c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8.295 - -9.653. Let k = -75.73 - -74. Let b = c + k. What is b rounded to 2 dps?\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of 0*v + 133 - 3\/2*v**2 - v**3. Let y(p) = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -413713150*i**2 - 229211610*i?\nAnswer: -827426300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 215 - 216.78. Let z = x - -2.18. Suppose -5*h + 3*h + 6 = 5*d, -10 = 4*h - d. What is the third biggest value in z, h, 0.5, 2\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + 7*w**2 + 10*w - 11. Let v(u) = 2*u**2 - 18*u + 8. Let c be v(9). What is m(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 121 = -2*r - 48, -5*o - 3*r = -307. Suppose -w - 25 = -4*j + o, -3*w - 12 = 0. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 1, -598, 19, -1, 9, -2 in decreasing order.\nAnswer: 19, 9, 1, 0, -1, -2, -598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k - 5. Let m be o(-10). Solve 2*n + 23 = -m*d, -5*n = -5*d + 2*d + 11 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48760?\nAnswer: 2, 5, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 4*n - 206809554 - 196790442 = 0, -2*p - 5*n + 201799995 = 0. Round p to the nearest 1000000.\nAnswer: 101000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -15*(-2 + 8\/6). Let j be (-11)\/(-33)*(0 - 0). Suppose 10 = 3*b + 2*b + 5*m, 2*m + 10 = 5*b. Solve -p + j = b*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 351776, 351778, 351790, 351818, 351868, 351946?\n\"Answer: c**3 - c**2 - 2*c + 351778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 235032 divided by -158\nAnswer: -117516\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + -2. Let q be (p\/3)\/((-14959)\/(-3)). Let j = q - -703093\/299180. What is the common denominator of j and 49\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1277961741 rounded to 3 dps?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 970 and 582?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 18\/24 + (-31)\/4. Let d = -2 - c. Suppose 0 = -k - u - 16 + 118, -d*u + 94 = k. Calculate the remainder when k is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = 85*z**2 - 767*z + 22. Let g be c(9). Let 3*u**3 - 3\/2*u**5 + 0 + 0*u**g + 0*u**2 - 3\/2*u = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(2*1*sqrt(84) + -5*sqrt(84)*1))\/(-1*(sqrt(12) + (sqrt(12) - sqrt(12)*3)) + sqrt(12) + sqrt(1200)*-6).\nAnswer: 9*sqrt(7)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 4 = -0*o. Let h = o - -5. Let y be 3*h\/9 + 2. Solve 5*j = y + 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 5*n - 1 = -4, -2*n + 8 = 5*s. Let b = 844 + -3377\/4. What is the nearest to -1 in b, -2, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b (base 13) to base 14\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbw when three letters picked without replacement from jbwb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2915 and 45812140.\nAnswer: 2915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -20550412 != -20550411?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 5*o + 1. Let l be 600\/56 - 11 - (-46)\/14. Let t(g) = -6*g - 2. Determine l*t(c) + 4*m(c).\nAnswer: 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*p, w = -5*p + p - 57. Let a = w - -77. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 7*l**2. Let r(b) = 260*b**2. Let w(u) = -220*d(u) + 6*r(u). Let p(c) = c. Give w(p(v)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (3 + -2*sqrt(17))**2)*-2.\nAnswer: -154 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -6*j - j + 6*j + j**2 - 18. Let n be v(-7). Suppose -n = -w - 15. List the prime factors of w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 53\/5 of a meter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -141*p**3 + 6*p**2 - 9*p + 221. Is f(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25634711 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -34491, -34621, -34761, -34911, -35071?\n\"Answer: -5*r**2 - 115*r - 34371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, g: 5}. Give prob of picking 1 g and 1 x.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -19, -40, -71?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 777 and 357531.\nAnswer: 2502717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.156 - 0.1. Let t = b + -0.0560066. What is t rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19720666 to the nearest integer?\nAnswer: 4441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2 - 4*l)*(-7*l + l + 0*l) + (-4*l - l + 4*l)*(2*l + 0*l + 0*l).\nAnswer: 22*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -3*o - 2*u, 5*o - 60 = -4*u + 9*u. What is the remainder when 57 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 44 - 1225772?\nAnswer: -122572a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-4)\/(-4))*13\/(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:51 PM and 8:01 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes after 5:22 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.5*10.51.\nAnswer: -26.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 (base 11) in base 14?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1537, -3082, -4627, -6172, -7717?\n\"Answer: -1545*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 23*t - 8. Let q be s(3). Suppose 65*v - q*v = 392. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**4\/7 - 634*l**3\/7 - 50560*l**2\/7 - 49928*l\/7 = 0. What is l?\nAnswer: -158, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -76 - -80. Solve k*m - 14 = -22 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 58556*t + 6558280. Calculate h(-112).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 6*q - 7*q**2 + 7*q)*(1 + 4 - 3 - q).\nAnswer: 7*q**3 - 16*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 4, m: 2, a: 2, p: 2, g: 1, e: 1}. What is prob of picking 1 g, 1 a, and 2 p?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -64852465900 minus -48.5?\nAnswer: -64852465851.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -184*g**2*m**3 + 2*g**2*m**2 + 14*g**2*m - 48*g*m**3 + 4*g*m**2 - 22*m**3 wrt g?\nAnswer: -368*m**3 + 4*m**2 + 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/2))**(-2\/15)\/(f**3\/(f\/(f**(-2\/3)*f)))*(f**(3\/7)*f)\/(f**(-2\/5)*f)*f**(-2\/5)\/f**(2\/9) assuming f is positive.\nAnswer: f**(-691\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 23\/4 + -169\/28. Let f be (5244\/2964)\/(1\/(-13)). Which is the nearest to f?  (a) 2\/5  (b) 2\/7  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -57*y + 55*y + 14 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**3 + 369*f**2 - 147963*f - 4852089.\nAnswer: 3*(f - 187)*(f + 31)*(f + 279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 PM and 12:34 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3277628 is divided by 76213?\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x + 8. Let q be z(-9). Let r be q\/(-6) - 7\/(-21). Let n be (-2 + 2)\/(2\/(-2)). Which is the closest to n?  (a) 2  (b) r  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4374 - 3?\nAnswer: -4377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 37*g**4 - 17*g**2 + 5*g + 223. Let i(q) = 18*q**4 - 9*q**2 + 2*q + 112. Let n(r) = 5*i(r) - 2*p(r). Find the first derivative of n(f) wrt f.\nAnswer: 64*f**3 - 22*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 17 = 4*p, p - 27 = -5*q - 10. Solve 0*k - 28 = 4*l - 4*k, 4*l = -k - q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -76\/155 - 367742\/465. Let c = 791 + x. What is the nearest to c in 9, 2, 4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:56 PM and 10:00 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 53756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-8\/3)*x*x**(-38))\/(x*x**(2\/17))**(2\/67) assuming x is positive.\nAnswer: x**(-132238\/3417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 348, 350, 352, 354, 356, 358?\n\"Answer: 2*h + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 5 = -3*l, -2*l - 30 = 2*d - 3*l. Let i(y) = y + 18. What is i(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 1377*g. Let i(m) = -32*m. Calculate -216*i(t) - 5*p(t).\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -29*u - 88. Let w be m(-7). What is the highest common divisor of w and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 3, -3, 1923, 4 in decreasing order.\nAnswer: 1923, 4, 3, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0.5, -0.5, 111, -13, 3, -1.9?\nAnswer: 111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 245 + -245 + (-5 - -4) + 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -4*r**3 + 5940*r**2 = 0.\nAnswer: 0, 1485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 263899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1308*s**3 + 2657*s**3 - 1343*s**3.\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -149\/162 and 5\/86292.\nAnswer: 258876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d + 9 = -g, 2960*d - 2964*d + 5*g = -39 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5293*y + 133462 = 16929 - 201047 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (2\/4)\/(((-7850)\/3300)\/(-157))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 210*o = -11*g + 208*o - 200, 11*g - 5*o + 193 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 20322 + -120?\nAnswer: 20202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*n**3*r*z**2 - 13*n**3*z**3 - n**2*r**2*z + 123*n*r**2*z**2 - 2*r**2*z**3 wrt z?\nAnswer: -78*n**3 - 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -14*b + 34*b - 9*b - 6*b - 6 - b**2. Let t(r) = 3*r**2 - 14*r + 17. What is -4*t(k) - 11*u(k)?\nAnswer: -k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 4561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/17, -5, 2\/9, 3 in ascending order.\nAnswer: -5, 2\/17, 2\/9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2784 or -6404\/3?\nAnswer: -6404\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -0*m - 2*m. Suppose 17 = 4*t - 2*x + 3, -2*t = -5*x - 11. Suppose -46 = -5*f - t*c, 2*f + 0*f - m*c = 28. List the prime factors of f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-3))\/((231\/(-126))\/(-11))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -310\/2223 + 4\/117. Suppose -3*v + 4*y + 4 = 3*y, 0 = -3*v - 2*y - 8. Is f equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29427732 + -1604?\nAnswer: -29429336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5460386?\nAnswer: 2, 37, 113, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.6 - -1.8. Let f = -0.4 + 0.2. Let g = x + f. What is the second biggest value in 4, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 24.448479 to two decimal places.\nAnswer: 24.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 39982, 79247, 118494, 157717, 196910?\n\"Answer: -x**3 - 3*x**2 + 39281*x + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -1*sqrt(1053)*-1 + 3.\nAnswer: 1 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 22 = -v, 4*v - 5*f + 77 + 28 = 0. What are the prime factors of (-1)\/(v\/(-26) - 1)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, u: 2, p: 1, w: 3, l: 3, r: 3}. What is prob of sequence lu?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*b + 7*b - 15 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 29*w - 2 + 3 - 129*w.\nAnswer: -100*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in 156, -1, 0.5, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1172*c**2 - 11 - 2686*c**2 + 1173*c**2)*(4*c**2 + 0*c**2 - 2*c**2).\nAnswer: -682*c**4 - 22*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rvv when three letters picked without replacement from vvxvrvvxovvrxxxovvov.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 256488 divided by 6\nAnswer: 42748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-2\/9)*(d\/d**(-1\/23))\/d*d*d*(d**(5\/6)*d)\/d*d*d**(-5) assuming d is positive.\nAnswer: d**(-557\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 85086573 to the nearest integer?\nAnswer: 9224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d**0*d)*d\/(d**3*d)*(d**(1\/4)\/d)**(-4\/5) assuming d is positive.\nAnswer: d**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((1 + sqrt(2))**2*1 - sqrt(2)).\nAnswer: sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 376.3111l to millilitres.\nAnswer: 376311.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 0 + 4\/15*q + 14\/15*q**2 + 2\/3*q**4 + 6\/5*q**3 + 2\/15*q**5 = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -155 - -13?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 316*l - 367. Calculate the remainder when f(5) is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 1:50 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 3*b**3 - 1. Let k be p(1). Put -0.6, -4, k in decreasing order.\nAnswer: k, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/20)\/((-3)\/18)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*g**2 - g**3 - 3 + 3 + (-2*g**2 + 0*g**2 + 4*g**2)*(-2 - 2*g + 2).\nAnswer: -5*g**3 - 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 4006?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -15, -45, -97, -171, -267, -385?\n\"Answer: -11*g**2 + 3*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3622*d**3 + 2 - 3686*d**3 + 39*d**2 - 14 wrt d.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 31095 in -4\/5, 5, 4, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 118, 0, 5 in increasing order.\nAnswer: 0, 5, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 0 + 653*q**2 + 14*q - 3 - 652*q**2. Let z(d) = d**3 + 3*d**2 + 5. Let j be z(-4). Let x be t(j). Round x to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00019752 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2*((-2582)\/(-8))\/(12\/(-24)). Let x = h - -2465. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c**4\/2 + 487*c**3\/2 + 23105*c**2\/2 + 44753*c\/2 + 11067 = 0. What is c?\nAnswer: -434, -51, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 552555.\nAnswer: 4420440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 1*(3 + sqrt(275) + -1) + ((-3 + 2 + sqrt(275) + sqrt(275))*4)**2)*2.\nAnswer: -630*sqrt(11) + 35228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-14))**(3\/37)\/(k**(-3\/14)*k**(3\/5)) assuming k is positive.\nAnswer: k**(-3939\/2590)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11110 + -1010100001?\nAnswer: -1010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9261?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of 5*u**4\/24 + 2695*u**3\/6 + 272700*u**2 + 1632160*u\/3 - 2001. Factor o(p).\nAnswer: 5*(p + 1)*(p + 808)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the second derivative of -u**2\/2 - 4*u. Let s(m) = m + 8. Let o be 59\/(-4) + 3\/4. What is o*n(y) - 2*s(y)?\nAnswer: -2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -147*w + 145*w - 7 = n, 2*w - 4*n - 38 = 0. Let k(o) = -o + 1. Let p(s) = 2*s**2 + 8*s - 4. Calculate w*p(c) + 4*k(c).\nAnswer: 2*c**2 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 154 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 20*a**2 - 1013*a - 6. Let m(i) = 57*i**2 - 3038*i - 17. What is -6*m(p) + 17*z(p)?\nAnswer: -2*p**2 + 1007*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o + 17. Calculate d(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**3 + 7*p**2 - 11*p - 5. Let i = 7965 - 7958. What is x(i)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) 0.08  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1991456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: ((-198)\/792*-9)\/(66\/56)\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l + 3. Let o(y) = 2. Let i be (3 - 2)*(-2 - -1). Let s = i + -1. Determine s*v(n) + 3*o(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44863.\nAnswer: 7, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -639\/5 or -129?\nAnswer: -639\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the first derivative of 145*p - 142 - 11\/2*p**2. Differentiate i(r) with respect to r.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.6?  (a) 2\/7  (b) 3  (c) 5\/14  (d) 0.037  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 4*r**2 - r**2 - 5*r**2 - 9*r - 1. Let k(h) = -h**2 - 7*h - 1. Let x be k(-6). Let n(w) = -4*w**2 - 17*w - 3. Let t(b) = x*p(b) - 3*n(b). Factor t(g).\nAnswer: 2*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -947*z**2 - 1489*z + 15. Let n(i) = -474*i**2 - 745*i + 6. Let v(m) = 2*c(m) - 5*n(m). Find the second derivative of v(r) wrt r.\nAnswer: 952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.62455125 to 2 decimal places.\nAnswer: -1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = 11*s**2 - 6*s + 5. Let r be x(1). Suppose -a + 291 = 5*n, 5*a = r*a - 5*n - 1545. List the prime factors of a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 5452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4872 and 3738?\nAnswer: 433608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 533641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:59 PM and 4:06 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f. Let m(b) be the second derivative of 0*b**3 + 79\/2*b**2 + 0 + 1\/6*b**4 - 48*b. Calculate w(m(l)).\nAnswer: 2*l**2 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1a - 377370?\nAnswer: -377356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1 - 12\/8)*0. Suppose l = -4*m - 2*m + 96. Calculate the highest common factor of m and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 4 + 2)*(-17 + 17 + 71*u).\nAnswer: 71*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*x**2 + 5*x - 5*x)*(15*x**3 - 55*x**2 + 55*x**2).\nAnswer: -45*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/21*-1)\/((-180)\/(-84))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2660 and 206744.\nAnswer: 137484760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 780.7724 hours?\nAnswer: 2810780640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-130)\/(-10))\/(-13)*6\/((-3)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 164.82 - 109664.\nAnswer: -109499.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -4*(1989\/(-52))\/(-17)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -250392.05 to the nearest 100.\nAnswer: -250400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*j - 61*o + 59*o - 30, j + 6 = o for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 a when four letters picked without replacement from {h: 9, v: 3, a: 4}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 350072 at most as big as 349903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -29875.5189 - -29840.9. Let p = 34.6 + x. Round p to three decimal places.\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 8, 32, 68, 122, 200, 308, 452?\n\"Answer: a**3 + 17*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lhbrllhlhrbblyybllhl. What is prob of sequence lhr?\nAnswer: 8\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 11571*s**2 - 23*s + 42. Let m be d(2). Let w(l) = 9*l + m - 46280. Let f(v) be the third derivative of -v**4\/24 - v**2. Calculate w(f(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-18)\/(-63)*14\/(-4). Let a = -3004 + 892187\/297. Is t > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 5*y**3 + 6*y**2 - 13*y + 24. Let f(k) = -k**3 - k**2 + 2*k. Give -6*f(s) - h(s).\nAnswer: s**3 + s - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - (16 - (-16 - (-10 - -7))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3766 - 828. Calculate the remainder when y is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -132 (base 4) to base 2.\nAnswer: -11110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dttuutttooudtdouu. Give prob of picking 1 u, 1 o, and 1 d.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -11*q + 1. Let f be u(-2). Suppose -5*d = -4*v + 5, 0 = d + 5*v - v - f. Let y be d*16\/12 - -2. Calculate the highest common divisor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -895, -894, -893, -892, -891, -890?\n\"Answer: a - 896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6.9 in -0.1, -0.6, -2\/11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 u when three letters picked without replacement from ssoosoooosuksoooo.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 694.57895 rounded to one decimal place?\nAnswer: 694.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 1464256, 1464030, 1463804, 1463578?\n\"Answer: -226*m + 1464482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 169 + -113. Suppose -c = 13*w - 30. Which is smaller: -7 or w?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2843 = -j, 4*n = -2*j + 3134 + 654. Calculate the remainder when n is divided by 190.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 64859 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 5, 3\/19 in ascending order.\nAnswer: 0.1, 3\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/(-66)*(-1)\/(-2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -9, -16, 0.2, -5\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p + 1. Suppose 14*s + 105 - 35 = 0. Let h(n) be the second derivative of n**3\/3 - 5*n**2\/2 + n. Give s*j(b) - h(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence im when two letters picked without replacement from mmmimmmmmmmmmimimm?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -i**2 + 2*i**2 + 6*i**2 - 287.\nAnswer: 7*i**2 - 287","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25 - (-4 + -12 + 28).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -52 = 13*n - 29 + 55 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 AM and 12:21 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = k, 2*k + 26 = 3*z + 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -0.74.\nAnswer: 0.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -2*z**3 - 2*z**2 - 2*z - 1. Let q be o(-1). Let y be 31 + (-20 - -8 - 15). Put -2, 98, y, q in descending order.\nAnswer: 98, y, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 2*o - 26 = 0. Sort o, 2, 5 in increasing order.\nAnswer: o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000306271 to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**3 + 3*r**2 + 6*r - 6. Calculate the remainder when 58 is divided by v(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -815702 by 22046.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*x**3\/7 - 278*x**2\/7 + 8*x\/7 + 1112\/7.\nAnswer: -2*(x - 2)*(x + 2)*(x + 139)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 + 5. Is 14 a factor of (-2)\/p - (-240)\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, m: 4, q: 1}. Give prob of sequence dd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + u - 39 = 5*y, 0 = -u - 5*y - 9. Suppose -d + 1666 = u*d. Is d a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - (9\/3 + -4). Suppose -6 + h = -5*w. Is 1\/(w\/(220 - -3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -46*g**3 + 7129*g**2 + 157*g - 313. What is p(155)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70 + -45. Let d = 9 + f. Let b(r) = r**2 - 6*r + 58. Let l be b(9). What is the greatest common factor of l and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*a**2 - 3*a**2 - 2*a**2 + (-13*a**2 + 135*a - 135*a - 2)*(-3 + 2 - 5 + (3 - 3 + 4)*(1 + 2 - 2) - 3 + 6 - 2).\nAnswer: 14*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*u**2 - 35*u**2 - 38*u**2 + 117*u**2 - 25*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d + 0*d + d. Let s(q) be the third derivative of -q**7\/1260 + 29*q**4\/6 + 2*q**2 - 40*q. Let h(l) be the second derivative of s(l). Give i(h(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of -b**7\/336 + b**6\/40 - 11*b**5\/160 + b**4\/48 + b**3\/4 - b**2\/2 + 365*b. Solve s(n) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 67*n + 91. Let x be a(-5). Let q = x + 651. What is the tens digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4448 - (2 + -3)\/((-145)\/(-25) - 6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36 - -18. List the prime factors of ((-524)\/6)\/(h\/27).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4181 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/(-2))\/14*14\/(-2). What is the remainder when (42\/49)\/(2\/(m + 601)) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -6, -3, 1811 in increasing order.\nAnswer: -6, -3, 3, 1811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 3*h**2. Let p(c) = 158655641*c. Give p(z(t)).\nAnswer: 475966923*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 70 = 32*g - 46*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1111101001 + 1001101111?\nAnswer: 11001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -5.4  (b) 0.01  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 5511 = -1829. Suppose 5*z + 3*b - x = 0, -3*b = -2*z - 2*b + 732. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 989858.\nAnswer: 2, 67, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -77 + 27. Calculate the common denominator of z and -57\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/8*(-10 + 42\/7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -187\/366 + 2\/183. Which is the second smallest value?  (a) 2  (b) 3\/5  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -1292880.\nAnswer: -1\/646440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (23\/(69\/(-6)) + (1 - -10))\/(-5)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, y: 6, w: 6, v: 5}. What is prob of picking 3 v?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -265*z - 56. What are the prime factors of b(-8)?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(1 - 6) + -15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-9))**(-3\/7) assuming q is positive.\nAnswer: q**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 3711365279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 17656, 20443, 25086, 31585, 39940, 50151, 62218?\n\"Answer: 928*h**2 + 3*h + 16725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6121050 a multiple of 219?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4624 - 1703 + 2*z**2 + 2*z**3 + 401.\nAnswer: 2*z**3 + 2*z**2 - 5926","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - a + 285. Suppose 4*k - 4*l - 19 - a = 0, 0 = -k - 4*l - 1. Let t = 46 - k. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4775 - 2465. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**2. Let q(n) = 17956929*n**2. Determine q(z(o)).\nAnswer: 71827716*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/7  (b) 1  (c) 2424669\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -3631, -7410, -11187, -14962, -18735, -22506, -26275?\n\"Answer: o**2 - 3782*o + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((1\/(-4))\/1*-6)\/((-10332)\/1968)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9016784 by 26288.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 2 x when four letters picked without replacement from {x: 5, a: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 - -5)\/(4 + -5). Let r(c) = -7*c + 3. Let u be r(f). Suppose j = -3*z - 0*z + u, 0 = -4*z + 12. Calculate the highest common divisor of 10 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 + -9. Suppose -3 = q - 3*c, -l*c = q + 4*q - 25. Is (83 - 2) + (1 - q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*p - 5*o = 25, 3*o - 1 = -4*p + 5 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 498, 1056, 1590, 2088, 2538, 2928, 3246, 3480?\n\"Answer: -2*n**3 + 572*n - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 361 = 3*n + 411, -f + 252 = -n. Let h = -459 - n. Let r = h - -1438\/7. Which is the third smallest value?  (a) -5  (b) r  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 38138 + -38135. Let i = 4.425 - -0.405. What is the third smallest value in -3, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, 1, 5, 5524, 0, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -6. Let h(q) = u*q - q - q. Let b(w) = -2*w. Calculate h(b(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 4\/18 + -9 + 33090\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3082.5981 - -3084. Let w = s + -1.4. Round w to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -3*c + 69. Let m be l(20). Suppose 7*h = m*h. Solve 3*a - a + 10 = h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*j**2 + 5*j**2 + 0*j**2 + 9*j**2.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -288 + 287.6. Which is the nearest to -2?  (a) -0.08  (b) h  (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w*w\/(w*w**19))\/w)\/w)**(-43)\/(w\/w**14*w*w\/w**(2\/21)))**(-2\/37) assuming w is positive.\nAnswer: w**(-36586\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a - 1. Let q(i) = 5*i - 10. Let h(r) = 6*m(r) - q(r). Let j be 7840\/1904 + (-4)\/34. Suppose -l - 5*v = j*l + 40, -20 = 4*l - 2*v. Give h(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 955375*u*z**2 - 786275*z**2 with respect to u.\nAnswer: 955375*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h*h**(-4\/3)\/h)**(-9\/7) assuming h is positive.\nAnswer: h**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 7. Suppose v + 0 - 4 = 0. Let o = v - f. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/24 and -81\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 222.257517 and 0.3.\nAnswer: 66.6772551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*s - 5. Let j be s + 2 - (-1 + -1). Let g(o) = -o - 3. Let k be g(-15). Calculate the highest common factor of k and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 245 - 247.115. What is u rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5d5b2 (base 16) in base 6?\nAnswer: -12110150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -14 times -28\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 688397 less than 3441988\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(2\/17)*o**(2\/13)*o*o*o**6*o**4)\/((o**(-5)*o\/(((o\/(o*o**2*o*o*o))\/o)\/o))\/((o\/o**2*o*o*o)\/o**0)) assuming o is positive.\nAnswer: o**(2660\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8650)\/(-15)*(-2 - 1). Let s = -89759\/65 + -4442\/13. Let y = s - r. What is the common denominator of -95\/28 and y?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -491 (base 13) to base 8\nAnswer: -1432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - 1. Let v = 3 + a. Suppose -5*q = -v*q - 185. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**3 + d - d)*(3 + 1 - 2) + (1283*d - 1283*d + 155*d**3)*(-1 + 5 - 6).\nAnswer: -304*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 28*o**5 - 48*o**4 - 996*o**3 + 1736*o**2 - 432*o - 288 = 0.\nAnswer: -6, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -33404000 rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 3 + 22 = 2*o, 0 = 3*u + 2*o - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n - 119 = -3*c, -3*c + n = 3*n - 91. What is the remainder when 192 is divided by c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -446*p**3*w - 4*p**3 - 467*p**2 + 225656*p*w + 12*p + 21 wrt w?\nAnswer: -446*p**3 + 225656*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**2\/8 + 775*d - 3101\/2.\nAnswer: (d - 2)*(d + 6202)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 1 + 15 - (31 + (-55 - -28))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 834548577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*c - 9*c - 2*c**4)*(1 + 0 + 0) + 5*c**2 - 5*c**2 - 10*c**4.\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1217079 - 542612\nAnswer: 674467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 3 - 5)*(3 - 5 + 0) - 3 - 5 + 6)*(3 + 9*s - 10*s - 2*s**2 - 7*s).\nAnswer: -4*s**2 - 16*s + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 594.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = 3*s - 3*u + 13, -4*s + 5*u = 15. Let v be 2 - s\/(-3) - (-106)\/(-30). Which is smaller: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8130*n + 4191*n - 20488*n - 23926*n to d*n + x and give d.\nAnswer: -32093","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3369 + 50. Let o = y + 127383. Suppose -4*i + 89750 = -5*s - 41060, -4*i + o = -s. Round i to the nearest 1000.\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*a**5 + 0*a**5 - a**5 + 22*a**2 + 8*a**5 wrt a?\nAnswer: 1320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (19\/((-2736)\/(-135)))\/((-3)\/4)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20, -65, -138, -239, -368, -525, -710?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2523 (base 6) to base 12.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1290 + 0 = 55*g + 25 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27*v + 408861 - 408483 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*((-41)\/(6150\/36))\/(8\/(-10))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -2*n - 4. Let l be 5 + 2\/(12\/6). Determine p(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1458)*-2*1 - (2 + sqrt(1458)*-4 + 2))**2*5.\nAnswer: -8640*sqrt(2) + 466640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (842\/1263)\/((-70)\/(-15))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/324*(-416)\/180 and -17\/180.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 275866061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + 4*l**2 - 3*l**2)*(-1 + 2*l**3 + 1) + (-3*l + 2*l - l)*(-l - l + 0*l)*(121*l**3 + 166*l**3 - 53*l**3).\nAnswer: 934*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 562364?\nAnswer: 2, 11, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -5*(0 + 2\/(-4)). Let i be 4*(1 + -2) - (-22)\/6. Let o = -0.646 - -0.346. What is the third smallest value in t, o, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 3*w - 46 = 213, 4*f - 510 = -2*w. Let p be f\/18 + (-18)\/162. Let o be (-10)\/14 + 4 + (-2)\/p. Solve -k = -2*v + 6, 3*v - 5 = k + o for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20140 is divided by 9798?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x - 3. Suppose 0 = -0*r - 2*r + 8. Let v be q(r). Suppose j = -3*o + 21, 38 - 3 = v*o + 5*j. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of 211*z**6\/30 + 121*z**3\/2 + 6*z + 29. What is the second derivative of f(l) wrt l?\nAnswer: 2532*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -115583895*m**2 + 1. Let j(h) = 2*h**2. Give w(j(r)).\nAnswer: -462335580*r**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -68.05785 rounded to one decimal place?\nAnswer: -68.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r - 10. Let s be m(10). Let h be (30\/(-21) - s)*(6 - 41). Let j(d) = 8*d**2 + d + 1. Let i be j(-4). What is the highest common divisor of h and i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6364 - -6364.00295. Round d to four dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = w - 0*w + 22818. Let o be 2\/5 + w\/57420. Let t = -85133\/15312 - o. What is the common denominator of t and -139\/18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/10791814 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - 3 - 9. What is the remainder when j*((-48)\/9)\/2 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*r + 7*r - 28*r + r + 11*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 199*l + 200*l = 314*l - 2635 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*q + 147 = -452 - 319. Solve -95 = 15*b - q*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/744 and -75\/682?\nAnswer: 8184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -47\/79353 and 16\/11805963.\nAnswer: 106253667","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes after 6:47 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 767619 a multiple of 670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 + 27*k**2 - 31*k - 70. Determine p(-28).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1347*d**3*x**3 - 201*d**3*x + 4*d**2*x wrt x.\nAnswer: 8082*d**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1932781219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(637))*-4)**2.\nAnswer: 224*sqrt(13) + 10208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 9}. What is prob of sequence oo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1206 - -2654. List the prime factors of h.\nAnswer: 2, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 4*j = -147. Calculate the remainder when 60 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 3893, 11769, 19645, 27521, 35397?\n\"Answer: 7876*q - 3983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = z + 9. Let v be q(-8). Let b be (-52)\/(-12) + (-10)\/(-15). Calculate the highest common factor of v and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -34 - -37.3. Let u = -0.44 - 3.86. Let z = t + u. Is z < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 103*j**3*v**3 + 430945*j**3*v + 22*j**2 + 10365735*v**3 wrt j.\nAnswer: 618*v**3 + 2585670*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2  (b) -313  (c) -0.4  (d) -1\/4  (e) 0.3  (f) 132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a = -4*a + 20. Let o = a - -10. Suppose 5*g - o = -0. Solve 0 = w - g*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + n + 348 = 0. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29 + 41. Suppose -q + 7 = d. Let o(v) = v**3 + 6*v**2 + 2*v - 12. Let k be o(q). Solve 2 = -j - k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the second derivative of 11*s**3\/6 - 2*s + 133. Let v(i) = 2*i. Give v(g(z)).\nAnswer: 22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 10*h**2 - 17*h - 4. Let u be i(-9). Suppose -9*q - u = -1004. Let k = 89 - q. Solve -k*f = -8*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k. Suppose -2*x + 3*b + 1 = 0, 29 = 3*x + x + 3*b. Suppose 4*d - 31 - 9 = -4*v, 0 = -4*v + x*d + 40. Is r(v) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/(-8) - (-468929)\/42060. Let b = -2\/2103 - k. What is the common denominator of b and -37\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 2*q - 2. Let t be w(2). What is the greatest common factor of t and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.750566 - -3.747. Round k to 4 decimal places.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.4 * -0.059\nAnswer: -0.2006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 101356331 to the nearest integer?\nAnswer: 10068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of 0 + 0*q**2 - 6*q + 1\/3*q**3. Let v be 1*-2 - (3 - 1). Determine o(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 8*s**2. Let o be 1360\/714 - ((-16)\/42)\/4. Let w(g) = 7*g**2. What is o*w(n) - 3*m(n)?\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3054986919 to the nearest integer?\nAnswer: 55272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*p - 9008 = 40496. Is 56 a factor of (1 - (5 - 1))*p\/(-51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 60?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 137285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j\/(j**(-1)*j)))**(-1\/8)*(j**(3\/4))**15 assuming j is positive.\nAnswer: j**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 8\/(-6)*(-7 + 1). Let b be 6\/d - (-65)\/4. Let g = 25 - b. Calculate the remainder when 31 is divided by g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)*-6 - -5*(sqrt(2) + 0) - (sqrt(88) + sqrt(88)*-1)\/((sqrt(110) - (sqrt(110) + -2*sqrt(110)) - sqrt(110))\/sqrt(10))) + 1.\nAnswer: -13*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -75\/28 and 167\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -3 + 6 + -2 + -2. Let w(r) be the second derivative of r**4\/12 + r**3\/6 + 4*r. Let g be w(q). Is 0 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 107128 and -15.5.\nAnswer: 107112.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bqbgbgbqbbgbqqgqqq. Give prob of picking 1 g, 1 q, and 1 b.\nAnswer: 49\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of 3*s**2\/2 + 6*s - 9301. Let w(p) = -4*p - 5. Calculate -3*a(q) - 2*w(q).\nAnswer: -q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 9*l**2 + 1. Let o be m(1). Suppose -5*d = o, 2*d = f - 13 - 208. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58830?\nAnswer: 2, 3, 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 1246*o - 776235. Give u(623).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (8 + -7)*(-3)\/((-12)\/4). Suppose -2*i = -0*i + 18. Put k, i, -5 in decreasing order.\nAnswer: k, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 598 is divided by 100.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -75 - (75 + -74 + 0).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*c + 67 + 83 = 0. Let y(m) = -2*m**2 + 3*m + 1. Give y(c).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 1)\/(-19 + 18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 277048889 divided by 13?\nAnswer: 21311453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7558764 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 7*p - 10*p + 6182, -2*y = -p - 2475. Suppose y = 3*d + 3*b - 1664, -3*d - b + 2903 = 0. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 22\/6 - (-21)\/63. Suppose 4*z = t - 370, p*t - z = t + 1165. Let x = t - 185. What are the prime factors of x?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 - 9*c - 1. Let k be i(8). Let p be ((-1)\/k)\/(4\/12). Put 1, p, -1 in decreasing order.\nAnswer: 1, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68 - 64 - (0 - -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 4, 3*p + 2*f = 3*f + 4. Let z(b) = -b - 10*b**3 - b**2 + b + 1 - 2*b + 3*b**p. What is z(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-2 + 1)*(-464)\/(-232). Let q(b) = -17*b + 147. Let v(o) = 4*o - 37. What is l*q(f) - 9*v(f)?\nAnswer: -2*f + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 2, c: 1, d: 8, f: 1, g: 2}. What is prob of picking 2 g and 1 c?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 2*l + 19 = 0, -24 - 7 = -2*f - 5*l. Solve 0 = -f*m - 5 + 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the third derivative of -2*b**7\/315 + 5*b**6\/36 - 29*b**5\/90 - 41*b**4\/6 + 40*b**3 + 1651*b**2. Find a, given that v(a) = 0.\nAnswer: -3, 3\/2, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.414 times 0.2\nAnswer: 0.0828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1407 - 573 = 99*v for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -x**2 - 1 + 1 + (-5 + 5 + x)*(-x - 2*x + x) + 3*x**2 + 2*x**2 - 4*x**2 - 3*x**2 - x + x + x**2 - 13*x**2 + 5*x**2 - 17*x**2 - 52*x**2 + 31*x**2.\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -4*w**4 + 164*w**3 - 582 wrt w.\nAnswer: -16*w**3 + 492*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/18987  (b) 651  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1470 is divided by 585?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1862093630 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g*g*g**(-3\/4))\/(g*g\/g**15*g) assuming g is positive.\nAnswer: g**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 119267, 119237, 119207, 119177, 119147?\nAnswer: 119117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/50 and 17\/175.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.8 and -0.63?\nAnswer: -1.134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 861 - 4?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -2*2*-1*(-40)\/(-32)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 510 - 197. Suppose -5*i - 98 = -n. Suppose -2*h + 14 = -3*g + i, -4*g - 2*h + 62 = 0. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 286 divide 10010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -513*l - 3825 = -1038*l + 270*l for l.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = -3*a + 2, -o - 2 = -3*a - 10. Let x(r) = -3*r + 1. Let h(q) = -13*q + 5. What is o*h(m) - 9*x(m)?\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 6. Let x be 1*(-3 + 0)\/(-12). Let n = 3.4 - 3. Sort n, x, p.\nAnswer: x, n, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mttumuttnmmvuuttnmu?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of c**4 + 187*c**3 - c + 3881 wrt c?\nAnswer: 4*c**3 + 561*c**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 - 63*q - q**2 + 62*q + 2 - 3*q**4 in the form r + t*q + o*q**4 + y*q**2 + p*q**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 254403\/590 + 327\/295. Let c = 259984616\/1975 - 3280134\/25. Let d = c - l. What is the common denominator of -125\/18 and d?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10423203.\nAnswer: 3, 7, 496343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4.938 - -0.04.\nAnswer: -4.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 4, h: 3}. Give prob of picking 2 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 + q - 28. Let c be u(5). Solve 0 = -m - m + 2*h - 2, m + c*h = 11 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -0.4  (b) 16  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4181 + 1853?\nAnswer: 6144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*o**2 - 17 + 12 - 5*o**2.\nAnswer: -7*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1622, 3283, 4944, 6605, 8266, 9927?\nAnswer: 11588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 3 - 21. Let s = o - -54. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -125\/168 and -23\/70.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 148752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-832)\/(-4576))\/((-8)\/(-253)))\/(3\/24*-3)?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*g**3 - 58*g**3 - 52*g**3 + 135*g**3.\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 288 + -499. Let g = p - -211.00714. What is g rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 368809051\/3397 - (-4)\/(-86) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the second derivative of 7*u**4\/12 - u. Let f(i) = -139 + 52 + 50 - 13*i + 34 + 15*i - 4*i. Calculate h(f(j)).\nAnswer: 28*j**2 + 84*j + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*35\/(42\/(-6)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 73446867?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (2 - -132)\/((-2)\/(-5)) is divided by ((-2)\/3)\/((-4)\/24)*(14 + 0) + 1?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*w**4 - 102*w**2 + 102*w**2)*(w + 0 + 0) - 119*w**5 + 33*w + 1204*w**5 + 353*w**5 + 119*w**5 - 33*w.\nAnswer: 1544*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3090 + -3091. Put 19, -2, y, -4 in ascending order.\nAnswer: -4, -2, y, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the third derivative of -n**7\/560 + n**6\/120 - n**5\/160 - n**4\/96 - 13*n**2 - 12. Factor t(o).\nAnswer: -o*(o - 2)*(o - 1)*(3*o + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 104 and -7850418?\nAnswer: 7850522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/((-5)\/(-4)*3\/(-15)). Let n be y - (6 + -6)\/2. Calculate the highest common factor of 84 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 5:42 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 + 5)*(-1 - 275\/(-285))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.673614l in millilitres?\nAnswer: 3673.614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 37\/3 + -265\/21. Let n = -43 - 22. Let o = n - -65.5. What is the biggest value in i, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 5*l**3\/3 - 50*l**2 + 95*l - 140\/3 = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*k - 3*k + 54*k - 178880 = 0. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/6)*g)**(-16)\/(g\/g**(-3))**(3\/19) assuming g is positive.\nAnswer: g**(-1100\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1424347808?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15*m*u**4 + 3*m*u + 905525*m - 22*u**4 wrt u.\nAnswer: -60*m*u**3 + 3*m - 88*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w**3 - w**2 + 2*w - 3. Let s be g(-3). Let y(o) = 3*o - 25. Let p be y(s). Solve 10 = p*f - 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the third derivative of o**8\/1260 + o**6\/720 - o**5\/10 - 6*o**2. Let d(z) be the third derivative of h(z). Calculate d(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -687, 0, -4, -1 in ascending order.\nAnswer: -687, -5, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 254805.\nAnswer: 3, 5, 16987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -182847.9 rounded to the nearest 100?\nAnswer: -182800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -2*s - 20. Let t(i) = 8*i + 86. Let j(w) = 15*w + 157. Let r(l) = -3*j(l) + 5*t(l). Calculate 6*r(q) - 14*v(q).\nAnswer: -2*q + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:51 PM and 6:04 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1566 - 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 - (-2 + 37 + -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/(-2)*(1 + 0). Let w be 2828\/q - (1 - -2). What is w rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1823675 is divided by 1667.\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2*-188*8\/(6 + 2). Let n = s + 387. Let a = 115 + 6. What is the greatest common divisor of n and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11646 + 11656. Let l(r) = r**2 - 6*r - 2. Determine l(q).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 4 - 16*v**2 + 7*v + 16*v**2 + 13*v**3 - 15. Let y be u(2). What is the derivative of -13 - 139*b**2 + y*b**2 - 15 wrt b?\nAnswer: -64*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**2 - 6*u - 8. Let n be i(-5). Let h(f) = f**3 + 4*f**2 + 2*f + 2. Determine h(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*d + 5*d - 54 = -7*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 232 divided by 5840\nAnswer: 29\/730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (1 + 4) - ((-13 - 25) + 32).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 829865?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 660 and 117348?\nAnswer: 586740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do 86105 and -4383 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3413049 to the power of 1\/2, to the nearest integer?\nAnswer: 1847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 27 + 10. Let y = 37.0017 - u. Round y to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -68029, -272128, -612293, -1088524, -1700821, -2449184, -3333613?\n\"Answer: -68033*k**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (213*a**2 - 103*a**2 - 102*a**2 - 180*a**3 + 2)*(-a**2 + 0*a**2 - a**2).\nAnswer: 360*a**5 - 16*a**4 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (54\/33)\/((-17)\/3740*30)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 50 divide 3403005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that -3*z**3 - 222*z**2 - 201*z + 1314 = 0.\nAnswer: -73, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(1331))**2 - (sqrt(11) - (sqrt(88)\/sqrt(2) - sqrt(44)))**2.\nAnswer: -22*sqrt(11) + 1321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5176)\/3882*(-12)\/(-728)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4463060497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add -19933895241 and -7.968.\nAnswer: -19933895248.968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11464 is divided by 2291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 126 and 11628?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 4*y + 230 = 0, 20 = -5*y - 5. Is 17 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-2)\/(-4))\/(1\/(-34)). Let u = -188 - -167. Let l = i - u. Solve -7*t + l = -3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(((-19936)\/(-192))\/(301\/129))?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:46 PM and 7:26 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 47 - 146. Let l = w - -145. Is 12 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 4*z - 24, -4*r - z = -30 + 9. Suppose 3*o = 3, -431 = -5*a - 0*a + r*o. Let p = 163 - a. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 76*o + 186 + 346 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + k = 11, 2*k - 8 = -g + k. Suppose 0 = -5*p + g + 17. Let y(c) = c - 1. Let q(z) = 4*z. Let n(v) = -q(v) + 6*y(v). Determine n(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the third derivative of 61*a**7\/70 + a**6\/40 + a**4\/6 - 728*a**3 + a**2 - 150*a + 2. What is the derivative of h(d) wrt d?\nAnswer: 732*d**3 + 9*d**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -40.18 - -43.53552. Let v = 3.215 - x. Let u = -0.14 - v. Round u to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - 2*b + 4. Let v(y) = y**3 - 5*y**2 - 6*y + 2. Let n be v(6). Let i be a(n). Suppose 14*q - 13*q - i = 0. Solve q*c - 3 + 11 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) 9  (c) 2.4  (d) -196713\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 76, 193, 318, 415, 448?\n\"Answer: -6*g**3 + 40*g**2 + 39*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 76*d**2 - 22*d - 966. What is the thousands digit of x(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11100 (base 3) in base 10?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(3 + 1 + 2*sqrt(11) + 3 + -2).\nAnswer: 30 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -25, 2\/3, -4, 2\/9, 1\/71, 3, -0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 68482856957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - s + 52 = 0. Suppose -3*x + 6 + 0 = 0. Suppose -r + l = 4*l - s, -4*l + 14 = -x*r. Is r at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 484 = -40*a + 42*a. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-4\/7)*l)\/l**(-2\/23))**(-8\/9)*((l*l**7)\/l**(1\/7))\/(l**(2\/11)\/l**1) assuming l is positive.\nAnswer: l**(116804\/15939)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w + 23. Let y be z(23). Let l(j) = j**2 + 2*j + 15. Let o be l(y). Suppose -i = -2*i. Solve -2*h - h - o = i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -101\/256112280 and -43\/3952350.\nAnswer: 1280561400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 3*q**2 + 5*q + 10. Let l be (-5 + 6 + -3)\/(1\/2). Let i(r) = 4*r + 8. Let y(h) = l*d(h) + 5*i(h). Let u be -1*(-2)\/(6\/3). What is y(u)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 608994.3 decades to millennia.\nAnswer: 6089.943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -758, -2748, -4716, -6650, -8538, -10368, -12128, -13806?\n\"Answer: 2*o**3 - o**2 - 2001*o + 1242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3*(4 + -1))\/(-1). Let z = 99 - s. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3235 - -3250. What is the second smallest value in w, 0.4, -1, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 16*(7 - 8) - -6 - (-9184)\/902. What is p in 8\/11*p**3 - 6\/11*p**2 - z*p**4 + 0*p + 0 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 - (-60)\/(-16))*-3. Which is the closest to -0.1?  (a) 2  (b) -3  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*t - 5*d = 13*t - 11438647, -t + 2859763 = -10*d. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*y = -32*y - 14721. Let i = -495 - y. List the prime factors of i.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1245*b**5 + 623*b**5 + 705*b**5 + b**5 - 2 + 2 + 2*b**2 - 2*b**2 + 3*b**5 + (0*b**4 + 3*b**4 - 2*b**4)*(-4 + 4 - 2*b) + 3*b**5 - 3*b**3 + 2*b**3 - b**5.\nAnswer: 87*b**5 - b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -2*o + 1967, 4*o = z - 58 - 1915. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from aaarraardzardzarra.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - a0?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(13)*1 + 1)**2 - (sqrt(117) - ((sqrt(117) + -2*sqrt(117))*-5 + sqrt(117)))\/sqrt(9).\nAnswer: 14 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-16))\/((-2)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122*v = 4*t - 117*v - 460, 0 = -t + v + 115. Calculate the highest common factor of t and 2714.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4749953 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.01 - -1.99. Let z = -0.07 + -1.43. Let x = z - -2. What is the biggest value in x, -1\/3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*w**2 - 3021*w**4 + 3018*w**4 - 4*w**2 - 26*w)*(2 - 1 + 0) as v*w**3 + d*w**2 + p*w + f*w**4 + q and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7193?\nAnswer: 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*n - 87 = -607 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/6, -3, 3, -7\/4, -0.35, -77, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.5 + 1.5. Which is the closest to 2\/21?  (a) -0.2  (b) -2\/3  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -42 by 1764.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (13*(-7)\/(-1001))\/((-3)\/(-561)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*h = -6 + 124 + 36 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 + 2*t - 3. Let w be u(2). Let d = 6 + w. Suppose 2*i - 16 = -3*q + 12, 2*q + d = 3*i. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -7.59431 - -19.59385. Let c = q + -12. What is c rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11412\/(-31066))\/((-54)\/14)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -d + 5. Let y be o(-9). Suppose 4*m - 3*g + 7 = 6*m, -3*m - 3*g = -12. Let f(k) = 2*k + 5. Let h(v) = -6*v - 14. Determine m*h(u) + y*f(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1809426 or -1809534?\nAnswer: -1809426","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/21 and -53\/8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -v**3 - v**2 + 4. Let o be i(-3). Let m = o - 13. Calculate the remainder when 25 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*s - 18*s - 9 = m, -4*s - 2*m + 30 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 16087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 107, 94, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 1\/11, 3, -0.04751, -3, 0.\nAnswer: -3, -0.04751, 0, 1\/11, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - 2 - 0) + 12 + -2 + -4 + -61?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 9*k - 4*k = -1609, 541 = a + 3*k. Suppose 5*d + a - 1465 = -2*h, 3*h = 3. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-7)\/((-21)\/(-6)))\/((-4)\/6). Let t(x) = 142*x - 1. What is the tens digit of t(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -2*n + 4. Determine a(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 2\/39, 3, 10, -4.6547, -1?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 536 + -540 - (67 - (1 - (1 + -3)))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 0 + 0 - f**4 + (1 - f**2 - 1)*(-f**2 + f**2 - 2*f**2).\nAnswer: f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 188 = -31*l + 343. Suppose p - 11 = -4*k, 0 = l*k - 4*k + 4*p - 14. Factor k*s + 0 - 1\/2*s**3 + 0*s**2.\nAnswer: -s*(s - 2)*(s + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-6))\/((-1761)\/(-116226)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 9\/(-2)*(-14)\/21. Suppose o*y - 2 = 2*y. Let j be 2\/24 + y\/8. Is j at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -4*z + 4*i + 456, 448 = 4*z - 3*i. Suppose -188 = 3*w - 59. Let h = w + z. Is 8 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1250736861 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (28 - 4) + 0 + -5 + -10 + 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/3 - 52059562*w\/3 + 677549498907961\/3.\nAnswer: (w - 26029781)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(3) - (-1 + sqrt(75))).\nAnswer: -4*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31759*b - 134*b**4 - 31759*b)*(0 - 3 + 1).\nAnswer: 268*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 286429990.\nAnswer: 2, 5, 7, 11, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 63*b*o**3*y + 3*b*o**2*y**3 + 14*b*o - 6*b*y**3 - o**3*y + 2*o*y**2 + 2*o wrt o?\nAnswer: 378*b*o*y + 6*b*y**3 - 6*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (w**2 + 2*w**2 - 4*w**2)*(148*w**2 - 206*w**2 - 219*w**2) + 2*w**4 + 3*w - 3*w in the form n*w**3 + f*w + i*w**4 + j*w**2 + b and give i.\nAnswer: 279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0812363*-0.15.\nAnswer: -0.012185445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*n + 72 = 63*n. Let u = -4 - -7. Suppose -u*x = -8 - 97. What is the remainder when x is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/2)\/((-42)\/336)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**7*p*p*p*(p*(p*((p*p*p**(-6)*p*p*p)\/p)\/p*p*p)\/p)\/p*(p*p*p**0)**39)**(-40) assuming p is positive.\nAnswer: p**(-3480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 98*h**3 - 26278*h**2 + 2080782*h - 40633002.\nAnswer: 2*(h - 29)*(7*h - 837)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5074330*x**2 - 2537164*x**2 - 2537176*x**2.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(((-45)\/(-6))\/(-5)*2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 9*c**3 + 2*c - 1. Let s be o(1). Suppose 0 = -b - 4*b + s. Is (2\/(-4))\/(b\/(-148)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 219.\nAnswer: 65.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 13*j**3 + 36*j**2 - 8*j - 23. Let x(v) = 5*v**3 + 12*v**2 - 3*v - 8. Let h(t) = -3*a(t) + 8*x(t). Calculate h(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by 8.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**2 + 5*g - 4. Let z be t(-6). Suppose z*b = -3*b + 10. Suppose 172 = -5*i + 339*h - 335*h, -h - 157 = 5*i. Which is greater: b or i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 85*b - 2*k + 28 = 88*b, -2*k + 34 = 4*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 46131.5 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -918, 110 in decreasing order.\nAnswer: 110, -3, -918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -4, 0, -10, 4 in increasing order.\nAnswer: -10, -4, -0.5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 8 = 0, -3*r + 2*j - 6 = -2*r. Let c(l) be the first derivative of -4*l**2 - 2*l + 4. What is the units digit of c(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(84))\/sqrt(7).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -4*y + 6. Let o be x(4). Is (72\/10)\/((-2)\/o) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 1:23 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the first derivative of -i**3\/2 + 19*i + 1. Let b(u) be the first derivative of r(u). Let o(t) = -6*t. Determine b(o(q)).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + g = 151, 2*b = -b + 4*g - 214. Let d be b\/(-21) - (-2)\/7. Differentiate -3*m**4 - 4 + 4 + 0*m**d + 2 with respect to m.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of t**3\/3 + 5*t**2\/2 + 5*t. Let o(c) = c + 2. Let y(s) = 5*o(s) - 2*v(s). Let d(g) = 2*g**2. What is y(d(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/918 and -157\/3359574.\nAnswer: 10078722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -452 + u - 4*u**3 + 456 + 0*u as c*u**3 + v + p*u + r*u**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6200722 by 9719.\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 1) + -2 + 3. Let b be 12\/2*80\/6. Suppose 3*c = -c + b. Solve -4*r - f*y - c = 0, 0*r - 5*y - 22 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*n - 65 = 43. Is 36 > n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 11*x**2 - 1593*x + 51631. Give p(96).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 705 divided by 141?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1876?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7079 - -12752. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9844420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -414a0a (base 14) in base 10?\nAnswer: -2202658","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from eevveevvzefuj. What is prob of sequence juv?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.040418 nanograms in tonnes?\nAnswer: 0.000000000000008040418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 16, -4788 in decreasing order.\nAnswer: 16, 2, -4788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (u + 3 - 3)*(2*u - 2*u + u)*(-4*u**3 + 8 - 8).\nAnswer: -4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 4*r**2 - 4*r**2 - 5 - r + 2*r**2 + 2. Let n be y(3). Let f = n + -11. What is the third smallest value in -0.04, f, -4\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-10))**(-2) assuming t is positive.\nAnswer: t**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 215858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 2 from 570319948.\nAnswer: 570319946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -b, 5*a + 5*b + 2 = -18. Solve 2*i - a - 1 = 4*q, 5*q = i - 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 0.64\nAnswer: -2.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 28*r. Let o(t) = 15*t. What is o(c(u))?\nAnswer: 420*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.82 + 0.42. Let l = 2.95 - -0.05. Let s = l + n. Which is the biggest value?  (a) 2\/9  (b) 0  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of s**4 + 60669*s**3 - s**2 + 2*s - 8703728?\nAnswer: 4*s**3 + 182007*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 7.1. Suppose 5*s + 0*s + 5 = 0. Put s, v, 2\/5 in decreasing order.\nAnswer: 2\/5, v, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 8, u: 1, n: 8}. What is prob of picking 2 n?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -14, -18, -36, -74, -138, -234?\n\"Answer: -a**3 - a**2 + 6*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 6\/41 and 59\/96239.\nAnswer: 3945799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-17068.\nAnswer: 51204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes after 2:30 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3d (base 16) in base 13?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6d41 - 745?\nAnswer: 65fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 937.32 - 0.097301?\nAnswer: 937.222699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8080381 litres in millilitres?\nAnswer: 808.0381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - 1030343?\nAnswer: -1030351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 2*x - 29. Let f(m) = -2*m + 30. Give 6*f(g) + 5*q(g).\nAnswer: -2*g + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 286 and -2.481.\nAnswer: -709.566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 98, 98, 86, 56, 2?\n\"Answer: -i**3 + 7*i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 83953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve y + p = 33 - 19, 8*y - 22*y + 6*p + 136 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -24*o + o + 21*o. Let f(p) = -47*p**2. Calculate f(x(c)).\nAnswer: -188*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mzmg when four letters picked without replacement from {m: 2, q: 3, u: 3, n: 7, g: 1, z: 3}?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1856295929 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2 - -1)*595\/(-5). Let b = g - 116. What is the smallest common multiple of 64 and b?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16537 - -16834. Calculate the greatest common factor of s and 451.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/((-10)\/12)*(-424)\/(-636)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6724 - -37809. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 2*l**2 - 4*l + 3. Let z(x) be the third derivative of x**5\/30 - x**4\/8 + x**3\/3 + 4*x**2. What is 2*i(s) - 3*z(s)?\nAnswer: -2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**3 + 5248*d**2 + 3453160*d + 13728800.\nAnswer: 2*(d + 4)*(d + 1310)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139 + 451*w**2 + 451*w**2 + 447*w**2 - 1347*w**2 - 255*w.\nAnswer: 2*w**2 - 255*w - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4062, 16251, 36564, 65001, 101562, 146247?\n\"Answer: 4062*m**2 + 3*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 + 3 = 2*l. Let d(w) be the second derivative of w**4\/12 - 4*w**3\/3 - 13*w**2\/2 + 5*w. Let z be d(10). Put l, z, 0 in ascending order.\nAnswer: 0, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6a - 1c5?\nAnswer: -15b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 89 a factor of 47925877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 682044 divided by 2.\nAnswer: 341022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-520)\/10)\/13*4\/6.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2935  (b) 0.1  (c) 113\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -8*d**3 - 38*d**2 + 12*d + 24. Determine q(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 58575597*p - 285092961?\nAnswer: 58575597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d, 1 b, and 1 p when four letters picked without replacement from {p: 2, q: 4, d: 2, b: 4, n: 2, m: 1}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bbbkmqqbmmd. Give prob of sequence mkqk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 66904*i. Let g(k) = -5*k**2 - 649. Give g(h(c)).\nAnswer: -22380726080*c**2 - 649","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-1)\/(-2))\/(18\/8). Let t = -69.6 + -77.5. Let h = -147 - t. What is the nearest to h in 4, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/2 of a hour in minutes?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/(-1))\/(387\/99 + -4). Suppose 5*a = 90 - 25. Let i = a + -24. Is l <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3079, -3319, -3677, -4141, -4699, -5339, -6049?\n\"Answer: 2*x**3 - 71*x**2 - 41*x - 2969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0009119357 to 5 decimal places.\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4b44a (base 14) to base 5.\nAnswer: 21402243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23785*m**4 - 47*m**3 + 164806*m**2 + 4*m - 5.\nAnswer: -570840*m - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*q)*(0*q + 2*q + 2*q + 3*q + 2*q + 20*q + (3 + 1 - 5)*(-2*q + 4*q - 3*q)).\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -197091581 and 0.0255.\nAnswer: -197091580.9745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 - 22*z + 243. Let k be d(-30). Let c(x) = 5*x - 7. Determine c(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v - 33 + 43 = 0, 0 = 5*l + 2*v + 35 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*b - 1161 = -216 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r + 97. Let w(q) = -2*q**2 + 500*q. What is w(g(n))?\nAnswer: -2*n**2 - 112*n + 29682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 164\/3157*605 - (-4)\/7?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/288 and 59\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*h**4 - 27*h**3 + 30*h**3 + 8*h**4 - 20*h**4 + 2*h**2 + 3*h as r + a*h**4 + w*h + z*h**3 + k*h**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, w: 3, n: 3, g: 2, u: 9}. What is prob of picking 1 w, 1 n, and 2 g?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 0 + 8 - 2 - 115*v + 10 + 117*v. What is x(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ye when two letters picked without replacement from eyyyeeeeyyeeeeyeee?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q + 0*q + 5 = 5*c, -2*q - 3*c + 3 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -48604, -97417, -146194, -194917, -243568, -292129?\n\"Answer: 3*o**3 - 48834*o + 227","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -688 + 2769\/4. Suppose 2 = 2*n - 0. What is the common denominator of n\/((126\/88)\/(-7)) and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (45\/620)\/(3222\/(-2864))?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 29 + -14. Let i(x) = -x**2 + 8*x + 1. Let g be i(8). Let w be (-10)\/a*(g - 2). What is the closest to 1\/2 in 0.1, -4\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/590 and (-9)\/(-8) - (-1817)\/9480?\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -161622 > 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -101\/118 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 5*q - 280, -4*q - 4*o = -q - 168. Suppose 31*a = 23*a - q. What is the closest to a in 4\/9, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 553 - 5?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -600*v**3 + 2131*v**3 + 1005*v**3 + 2946*v**3.\nAnswer: 5482*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 5.7 - 17.2. Let m = w + 12. Suppose 2*l = 2 - 0. What is the nearest to l in m, 2\/17, 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 271*y. Let z(c) = -123*c + 11. What is z(g(j))?\nAnswer: -33333*j + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 0*r = -300. Let m = 169 + r. Suppose 3*q - 3*k = -0*q + 132, 0 = 5*q + 3*k - 236. Calculate the greatest common divisor of q and m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.3, -1\/9582, 8, 54\/5, -4\/3?\nAnswer: -1\/9582","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -149*j + 149*j + 1472053*j**2.\nAnswer: 1472053*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 70060.68mg in kilograms?\nAnswer: 0.07006068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 5 + 3 + (-1 + 2 - 3)*(-4 + 6 - 4) - 4 + 3 + 2)*(-w**2 + 2*w**2 + 7*w**2) - 2*w**2 - 2*w**2 + 2*w**2 as x*w + d*w**2 + i and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -44\/104627 and -55\/36392?\nAnswer: 837016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 30*a**2 - 7*a - 20. Let m be r(-3). Suppose 3*t = n - 2*t - m, 3*n = t + 827. List the prime factors of n.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 4*v**2 - 18*v - 12. Give r(7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -15735*x**3 + 6*x**2.\nAnswer: -3*x**2*(5245*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j*(j*j**(-6))\/j*j*j*j)**(1\/66)\/(j*j**1)**(41\/2) assuming j is positive.\nAnswer: j**(-2707\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i + t = 18872 - 197720, -2*i - t = 71538. Let k = -4932 + -50638. Let d = k - i. What is d rounded to the nearest 1000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 262335?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 15617, 62580, 140883, 250526, 391509, 563832?\n\"Answer: 15670*r**2 - 47*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(76) - sqrt(76)*-2) + 4)**2 + 2*(sqrt(19) + 1)*-4.\nAnswer: 40*sqrt(19) + 692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*o*p**2*u + 3*o*p**2 - 394*o*p - p**2*u - p*u - 662*p wrt o.\nAnswer: 7*p**2*u + 3*p**2 - 394*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 7*b**3 - 4*b**2 + 3. Calculate k(2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1645154298 rounded to five decimal places?\nAnswer: -0.16452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (653*o - 434*o + 469*o)*(2*o + 3*o - 7*o) as l*o + t*o**2 + z and give t.\nAnswer: -1376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.6689 and 1701.\nAnswer: -1137.7989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 - 8*s**2 - 4*s + 11. Suppose 0 = n + 2. Let r be (-8)\/((-3)\/(-1 + n)). Is 9 a factor of j(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i\/(i*i\/(i*i**(-2\/9)\/i)*i)))**(2\/25))**17*((i**2\/i*i*i)\/(i*i**(-8)))\/(i**(-5)*i*i*i**(3\/5)) assuming i is positive.\nAnswer: i**(3776\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 21 or -1?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2492589 - 3?\nAnswer: 2492586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 441 - 166. Calculate the highest common divisor of 25 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -329.878*-0.2.\nAnswer: 65.9756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-4)\/(-16) + 95\/4. Let b be (126\/(-28))\/((-2)\/d). Suppose 0 = t - 18 - b. Calculate the highest common divisor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15\/(-25)*-5*28\/6. Suppose d*k + 10690 = 16*k. Suppose 12*h - k = 7*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((306\/(-1053))\/34)\/(-3)*(-8 + 11)?\nAnswer: 1\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*i**5 - 20*i**4 - 20*i**3 + 80*i**2.\nAnswer: 5*i**2*(i - 4)*(i - 2)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -10823631, -10823632, -10823633, -10823634?\n\"Answer: -t - 10823630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1972176 and 2701968?\nAnswer: 8688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 144 + 43 = 4*y - 221 - 109, 3*c + 132 = -3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l**2 + 4*l**2 + 2*l**2 + (5*l - l - 5*l)*(0*l - 4*l + 3*l))*(1 + 2*l - 1)*(3*l - 5*l + l).\nAnswer: -6*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 1)*(-3*p - 2*p + 3*p) - 118*p - 43*p - 8*p.\nAnswer: -167*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -264, -563, -900, -1293, -1760, -2319?\n\"Answer: -3*g**3 - g**2 - 275*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 0*d + 0*d - d**2. Let y(m) = 15*m. Let q(h) = -6*h - h - h. Let p(x) = -9*q(x) - 4*y(x). Give l(p(v)).\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4142\/380 + 2\/(-1)*1 and 2\/6 - 1950\/612.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of u**5\/30 - u**4\/6 + u**3\/3 - 3*u**2. Let j be h(1). Solve -b + j*b = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g - 2022*u = -2026*u - 54, -15*g - u - 270 = 0 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2 - 50\/16 - (-2)\/16. Which is smaller: -24\/11 or g?\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*p = 33*p - 10, -4*d = 5*p - 42. What is the remainder when 2654 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -5  (b) -59  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 66*s**2 + 358*s + 186. What is the remainder when r(61) is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of 3 - 1\/10*i**5 - 2*i**2 - 1\/120*i**6 + 1\/12*i**4 + 0*i - 1\/6*i**3. Let j be (-2 + 2 - 1) + -5. What is n(j)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.19 + 35.81. Let j = 36.43 - w. What is j rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22702 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(210\/(-18)))\/((-2)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 + 5*f**2 + 3*f + 20. Give q(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/9 + (-922)\/(-6). Calculate the common denominator of -24\/17 and s\/6 - -1 - (15 - 12).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from nzkzknkezzkmn.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-1156)\/(-21))\/((-9120)\/(-2128)). Which is greater: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/36 and (-2)\/(-230)*(-13780)\/24 + 6?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h\/(h\/h**(-13)))*(h*h**(4\/5))\/h assuming h is positive.\nAnswer: h**(74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a century in months?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((6*(sqrt(2178) + sqrt(2178)*-3))\/(sqrt(24)\/((sqrt(100) - -1*sqrt(100)) + sqrt(100))) + 3)**2.\nAnswer: -11880*sqrt(3) + 11761205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -63945289, -63945298, -63945307?\n\"Answer: -9*b - 63945280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*p - 2588 + 1580 = 3229. What is the remainder when p is divided by 203?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.1 and 0.341493?\nAnswer: -0.0341493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 398934893 divided by -56990699?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.88578515 to 4 dps.\nAnswer: 6.8858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 60 - 36. Suppose 2*w - m - f = 0, -34 = -2*w - w + 2*m. Calculate the lowest common multiple of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 15 + -8. What is the lowest common multiple of 6 + 9\/(6\/2) and x?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 - 1021?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of 7\/6*u**3 - 2*u**2 + 0*u - 1\/60*u**5 + 0 - 1\/4*u**4. Suppose q + 0*w = -3*w, 2*w = -q - 2. Give p(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -5 + 1336?\nAnswer: 1331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52078?\nAnswer: 2, 13, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -18*q**2 - 2946*q + 1103. Calculate x(-164).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/(sqrt(45)\/sqrt(324)))**2 + ((-2 + sqrt(243))*-3)**2.\nAnswer: -324*sqrt(3) + 2331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/1000 and 119\/750.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 39.833*-1.1.\nAnswer: -43.8163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**2 + 6*h + 8. Calculate k(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6647238 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-124)\/((9\/(-12))\/((-18)\/(-16))). Suppose 0 = -5*j + 59 + y. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/((z\/(z\/z**2*z)*z)\/z))**(2\/21) assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 44 + -19. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1638 + 2329. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 77 = -3*m, 0 = 2*y - 4 + 2. Suppose -m*f - 8 = -26*f. Solve -i - 18 = -2*i + f*a, 2*a + 16 = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 134, 0, 5, 3, 347, -5 in ascending order.\nAnswer: -5, 0, 3, 5, 134, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -2) + (-7 + -2 - -2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 + -1)*(-4)\/(-8). Let c be 0 + (-3 + g)*(0 + -1). Solve a - 2*a = c*z - 5, z - 1 = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 1404 = -192. Let o be s\/(-7) - (-1 - -2). Solve 41 = -5*u + o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -8*l + 2. Give t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 - 1. Let x(k) = -k - 3*k + 3*k + 13 - o. What is x(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 4\/3, 3715736 in increasing order.\nAnswer: 4\/3, 5, 3715736","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 146 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3840, 4171, 4722, 5493, 6484, 7695, 9126?\n\"Answer: 110*w**2 + w + 3729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 537 a factor of 80509188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 - (-1 - (1 + 2)). Let l(j) = -j**2 + 6*j - 3. What is the remainder when 12*(4\/(-12) + (8 - 7)) is divided by l(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 5, -6841, 1, 0, -3, 69?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 45355873*c - 1019303154 wrt c.\nAnswer: 45355873","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 3 - (-3 + (3 - 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k + 2*k**2 - 4*k)*((-4 + 3 + 0)*(2*k - 3*k - k) + 3*k + 7*k + 19*k + (3*k - 2*k - 3*k)*(0 + 0 - 1)).\nAnswer: 66*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 3*h + 126 = -4*s, 4*h = -4*s - 108. Let n = s + 19. Are -11 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.3, -0.3, -2\/9, 1\/3, -2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 0.028.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51*u + 7114 + 7676 = 0. Suppose -2*g + 47 = n - 10, -g + 32 = -3*n. Calculate the greatest common factor of g and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2204  (b) -0.15  (c) -65.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2625.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q = 10*q - 26. What is the remainder when 41\/((3\/(-4) + 360\/96)\/3) is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(104) + sqrt(104)*2))\/((2*sqrt(8) + sqrt(8))*-3) + -5*-3*(sqrt(637) + -1).\nAnswer: -15 + 311*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 363, 279, 185, 75, -57, -217, -411, -645?\n\"Answer: -n**3 + n**2 - 80*n + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -12 + (8 - 4) + 9 + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -28364, -20131, -11896, -3659, 4580, 12821?\n\"Answer: o**2 + 8230*o - 36595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -5695745 at most -5695745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 take away -195.02?\nAnswer: 197.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 8*u. Let c(f) = 66913*f**2. Give a(c(x)).\nAnswer: 535304*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-4))\/(-3)*1340\/402\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 376*p + 33887 = -21*p + 20389 for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a**3 + 2*a**2 - 5*a - 3. Let l be p(-3). Let g be (-3 + (-16)\/(-6))*0. Suppose g = -j - 3*j + 8. Solve l*c = j + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {k: 1, l: 1, f: 3, n: 4, c: 4}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -230962050 * -3.\nAnswer: 692886150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4 - 2. Let w be 0 - 2\/l*-2. What is the biggest value in w, -4, 4\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 249 - 235. Solve -17*r = -g*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x. Let w(n) = -1821699*n**2. What is b(w(s))?\nAnswer: -1821699*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/14*(-78)\/(-39).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -186 + 420. Suppose 4*t = -5*t + y. Calculate the remainder when 153 is divided by t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -2*p**2 + 18*p + 13. Let l be w(13). Let s = 93 + l. Let k = -20 - -28. Is k greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 - 35*m - 1250. Determine c(57).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 10\/(-2) + 16\/8. Let o be y*((-15)\/9)\/5. Suppose 4*f = 43 + o. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 377, 374, 373, 374, 377?\nAnswer: 382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*r = 191 - 65. Calculate the remainder when 44 is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 4*h - 164*h**2 - 33*h**3 - 3 + 18*h + 3 + 142*h**2. Let j(g) = -g**3 - g**2 + g. Give -22*j(x) + s(x).\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -2 - 1 - 36308502\/(-16). Let p = 2262537 - y. Let a = p - -6730. Find the common denominator of -21\/8 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + t + 109, -5*a + 8*a + 2*t = -113. Sort 20, -1, a in increasing order.\nAnswer: a, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 416 = 88. Let q = b + -120. What is the highest common factor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -91.72?\nAnswer: 27.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*a + 24 = 47*a + 4*b, -a + 5*b = 23. Suppose 38132 = a*x - s - 27532, -5*x + 4*s = -164163. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 AM and 12:58 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-176)\/760*(-277)\/(-3047)?\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 4:18 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 251369389 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 56162 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 5, 2, -10, -96, -4.\nAnswer: -96, -10, -4, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1))**(-5)*y**(1\/9)\/(y\/(y*y*y**(1\/2)*y)) assuming y is positive.\nAnswer: y**(137\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/(-3)*16\/((-176)\/33).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 3*h**2 - 50*h + 32. Let u be v(16). Solve u = 4*s - 5*s + 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r - 11. Let h(d) = -d + 5. Let n(s) = s**3 + s + 9. Let x be n(0). Suppose -8 = -7*a + x*a. What is a*b(v) - 9*h(v)?\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 0 + 16*s**2 + 4*s**2 + 3*s**2 - 2*s**2 + 3*s**2 - 2*s**2 + s**2 + (s - s + 2*s)*(3*s - 4*s + 2*s) as j + i*s**2 + x*s and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -928150 divided by -928150\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 102 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4045 or 323563\/80?\nAnswer: 323563\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0601051 to three decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = -3*g + 105, 4*k = -k + 5*g + 105. Let x = -22 + k. Suppose 4*o - 4*a = 40, -4*o - 3*a + 20 = -x*a. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**3 - 52385*i**2 - 18015380*i.\nAnswer: -5*i*(i + 356)*(i + 10121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-100760)\/2190 + (-454)\/(-49713)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 4*c = -392, 3*b - 232 = -c - 3*c. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 7732*f**2 - 15463*f**2 + 7732*f**2. Let i(j) = 766*j**2. Calculate u(i(o)).\nAnswer: 586756*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r = -2*v + 408, 686 - 191 = 5*r - 5*v. What is the remainder when r is divided by 29?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - 52b50b?\nAnswer: -52b514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*r - 6 = -23*r. Let c be (r - -3) + -2 + 14997. Round c to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -23431 + 113000?\nAnswer: 34014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1965 = 19*d - 103. Is 0 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 177 and 60687?\nAnswer: 3580533","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-47)\/(-94) - (-9)\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -99312149 and -11?\nAnswer: 99312138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 109 - 102 - (-13 - -29).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 1 - 6)*(2 + 0 - 8)*(-2*r + 0 + 0)*(-r + 1 - 1).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -5*h + 3. Let c(v) = -6*v - 7 + 8*v + 9*v. Let r = 9 + -18. Let j be (-10)\/45 - (-68)\/(-18). Determine j*c(x) + r*b(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of k**8\/336 + 2*k**7\/105 - k**6\/60 - 2*k**5\/15 + k**4\/24 + 2*k**3\/3 - 180*k**2 - 2. Factor w(j).\nAnswer: (j - 1)**2*(j + 1)**2*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*7\/(-5040)*-8*153\/17.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 4*q = 4 - 52, 30 = 4*b - q for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*n + 1623 = -13*n + h, -4*n - h + 1298 = 0. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1302030102 (base 4) in base 3?\nAnswer: 212202121100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 69388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5484*q - 44 = -5488*q, 4*q - 44 = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add 3.58 and 49908442539.\nAnswer: 49908442542.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 92 and 215717.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 28 - (8 - (-24 + 33))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 17 = 2*o, -3*s - 2 = 4*o - 3. Suppose -s*c + 40 = 3*c. Solve 3*u = c*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:05 AM and 5:56 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 10) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b = -1132 + 1122, -6*r + 0*b + 7 = b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -1. Suppose 5*n = -0*n - h + 1, -5*h = -4*n + 24. Suppose -3*f = z + n, u = f + 14. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16 * 33544\nAnswer: -536704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 159469457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wtv when three letters picked without replacement from wtwwvtwvvvvvvvvtvv?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = b - c, -3*b - 27 = 5*c - 0*c. What is the remainder when 1*60*39*(-1)\/b is divided by 67?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j = -z + 15, -3*j - 359*z - 21 = -363*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -26\/29519 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 2\/5, -4, -2, -52219\/39?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1078 - -1074. Put 136, -1, u in increasing order.\nAnswer: u, -1, 136","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -58*f**2 - 3. Let m(p) = 173*p**2 - p + 8. Calculate 3*m(q) + 8*y(q).\nAnswer: 55*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 11) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-4) - (7 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 11*h**2 + 25*h - 9. Let p be n(-13). Suppose -6*f - p = -58. Let q(s) = -s**2 - s + 10. Let w be q(0). Is w < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -7  (b) -15  (c) 1  (d) -4  (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -45\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the third derivative of -1\/20*k**6 + 10*k**2 + 0 + 0*k - 3\/280*k**7 - 1\/16*k**4 + 0*k**3 - 7\/80*k**5. Find g, given that j(g) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 5:33 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 0  (b) 31  (c) -1\/31  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15008115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 197773856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + ((-3*sqrt(126)*1)\/(sqrt(324) - sqrt(324)*-2))\/(sqrt(48)\/sqrt(6) + sqrt(8) + sqrt(2) - 1*(sqrt(2) - sqrt(8)\/sqrt(4))).\nAnswer: -sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*h**3 + 1651930*h**2*x + 305113128*x + 1 with respect to h.\nAnswer: 21*h**2 + 3303860*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -7.1. Let n = h + 2. Let l = -0.04 + -3.96. Which is the second smallest value?  (a) 0.5  (b) n  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 10*i - 1. Let a(x) = -x + 1. Calculate -2*a(y) - 2*d(y).\nAnswer: 2*y**2 - 18*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.08 + -3.92. Let f(j) = -j**3 + 5*j**2 + 2. Let w be f(5). Which is the biggest value?  (a) w  (b) r  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*((-135)\/(-990))\/(6\/8)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 136 is divided by 107.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -5*v + w + 372, 2*v = -4*w + 140. What is the remainder when 79 is divided by 1\/(-2)*(1 - 7 - v)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 5  (b) -3  (c) -40231\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the second derivative of 4*d + 0*d**6 + 0*d**5 - 1\/12*d**4 + 1\/21*d**7 + 0*d**2 + 0 + 0*d**3. What is the third derivative of c(j) wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**4 - 2*v**2 + 5*v. Let x(p) = -p**2 - p. Let o be (-5)\/2*(60\/(-25))\/(-2). Let q(t) = o*w(t) - 15*x(t). Find the third derivative of q(k) wrt k.\nAnswer: 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 62.93848ms?\nAnswer: 62938.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 74637064459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 39*p**2 - 391*p + 48. Let c(h) = 52*h**2 - 521*h + 66. What is -8*c(k) + 11*d(k)?\nAnswer: 13*k**2 - 133*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31888*j - 10620*j - 10638*j - 10625*j.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 47 and 309119.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/6*(-293 + 257).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13648625 - 9048625. Round a to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 7*p - 2. Let j = -19 + 22. Suppose 4*u = -5*z + u, 2*z - j*u - 21 = 0. Is 17 a factor of i(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/6 + (-132)\/(-8). Solve 6*z = 40 - d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 3*h + 6 - 13 = 0, 2*h = -x + 3. Suppose -10*s + 5 = -5*s. Let t = 5 + s. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + -2401?\nAnswer: -2363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43827 = 369*k - 40506 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1469 times -1.49\nAnswer: -2188.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(176) + -1 - sqrt(176)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - 2)*75*(-4)\/(-6). Let w be m\/18 + 2\/9 - 34. Let z = w + 44. Solve 2*r = 5 - z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 632560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(1100) - (sqrt(1100) + 0)) + (sqrt(1100) + 2*sqrt(1100))*-3)**2.\nAnswer: -180*sqrt(11) + 89101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 501784.\nAnswer: 2, 62723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4a9826 + 9?\nAnswer: -4a981c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l + 111 - 307 = -60*l. Sort l, -4, -5\/2, 1\/19, -1\/2 in descending order.\nAnswer: l, 1\/19, -1\/2, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the second derivative of 0 + 0*o**4 + 7\/5*o**5 - 29*o - 9\/2*o**2 + 1\/6*o**3. Find the second derivative of v(l) wrt l.\nAnswer: 168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1 + -1. Suppose 15*t = 67 + 83. Solve 0 = -4*f + 8, u*f - 2*f = 2*y - t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 933.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3*i**2 + 2364*i - 328293. Calculate g(608).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 t when two letters picked without replacement from nwnnntnnntlnnnnnn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 709434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 5274\/3809 + (-2616)\/1833\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -23, -47, -73, -101, -131, -163?\n\"Answer: -c**2 - 21*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 251455 divided by -787\nAnswer: -251455\/787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*q = 43 + 29. Let t(c) = -15*c**3 + 6*c**2 - 6*c - 6. Let j(h) = 90*h**3 - 35*h**2 + 35*h + 35. Calculate q*j(p) + 35*t(p).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 - 54. Let n be (-3)\/9*(-1 + w) - -3. Solve -3*z + 0*z + n = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 244\/19615 or 0?\nAnswer: 244\/19615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1157 is divided by 228.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**2\/3 - 3482038*u\/3 + 3031147158361\/3.\nAnswer: (u - 1741019)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 303*x**3 - x**2 - 593 wrt x?\nAnswer: 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 311*b**4 - 12*b + 1 - 635*b**4 - 2*b + 319*b**4 to the form h + m*b**4 + z*b + f*b**3 + g*b**2 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qjttttqtq. What is prob of sequence tjq?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -36 + 2 - (40 - (33 + 22))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7 - -2. Let v = 0.649 - 0.549. What is the closest to 0 in m, v, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 7*l**2 - 6*l + 9. What is t(-5)?\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -11 + 14. Let r(i) = 3*i + 11 + 13*i**2 - 9 + w*i**2. List the prime factors of r(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**2 - 5*w + 6. Let p be (2 - (-62)\/(-10))\/(12\/60). Let j be (-1)\/((1 - -2)\/p). What is the units digit of q(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhzhhzhhhhhhhhz. What is prob of picking 3 h and 1 z?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-10)*((-5031)\/234 + (10 - 1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(378)\/(-4*-2*sqrt(6)))**2 + 3 + sqrt(343) + -2 + 0.\nAnswer: 127\/64 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/6 - (-9)\/(108\/26). Suppose 0 = i + 1, -p*m + i = -1471. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 9*x**2 - x - 4. Let w be c(-9). Suppose -w*k + 4*o - 55 = 0, 0 = 3*k - k + 3*o + 45. Let z be 3 + -2 + k\/(-3). Solve z*s - 2*s - 12 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -556 - -552. What is the nearest to 2\/11 in 0.04, -4\/9, f?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2 + 0)*(-21 + 3*g + 2*g - 3*g)*(39*g - 32*g + 41*g).\nAnswer: -96*g**2 + 1008*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*g + 12*g + 13*g**3)*(-315 + 300 + 23*g - 6*g).\nAnswer: 221*g**4 - 195*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -352*u + 1 + 0 - 5.\nAnswer: -352*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -21*h**2 - 94*h - 334. Calculate q(-4).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25725 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1927?\nAnswer: 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (18\/(-5))\/(30\/200). Let u = -8 - d. Let i be 17\/(-136) + 6\/u. Which is the third biggest value?  (a) i  (b) 0  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -7*m - 2*m**3 + 10 - 6*m**2 - 3 - 1 + m**3. Let y(q) = 5*q**2 + 6*q - 5. Give 5*r(w) + 6*y(w).\nAnswer: -5*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.1 and -5.121115.\nAnswer: -0.5121115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 106, 331, 628, 1033, 1582, 2311, 3256?\n\"Answer: 6*p**3 + 183*p - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4308751 + -4308750.92800109. Let v = 0.21 - 0.282. Let t = v + r. Round t to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 15 and 1716?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p*p**(-1\/10)\/p))\/p*p)\/(p**(-6)\/p))**(23\/5)\/((p**(-1\/11)*(p\/(p**9*p))\/p)\/(p**(-4)\/p*p\/(p**(-2\/5)\/p))) assuming p is positive.\nAnswer: p**(24613\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 9666\/29700*-11 - 2\/(-25)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 27 + -3. Solve -z - 3*l = -4*z + g, -5*z = -3*l - 30 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - i + 1565 = 0, -5*i = 4*t - 0*i + 1535. Let n = -376 - t. What is the lowest common multiple of n and 11?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 1 = o. Let m = -3 - o. Let r be -1 + 3 + 2 + -1. Solve r*i = 2 - m for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000003764333699 rounded to seven dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*l**2 + 2*l**2 - 237*l**3 + 233*l**3 + 2*l**2.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 187210, -2\/9, -206 in increasing order.\nAnswer: -206, -2\/9, 187210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 352094320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 divided by 19.\nAnswer: -18\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 3*u**2 - 16*u - 24. Let c be m(-5). Suppose 2*j = 3*n - 3, -2*j + c = -2*n + 8. Let h(l) = -2*l**2 + l - 1. Give h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oxxgngob. What is prob of sequence ngx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -14872 by 2.\nAnswer: -7436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 243 - 265 = -p. Suppose w + 5*b = p, 5*w - 2*b + 14 = 70. Solve -3*a + g = w, -3*a + 3*g = -4*a + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7801679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 5*v + 3*f - 138 = 0, -5*v - 2*f = -755. What are the prime factors of v?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/(-6)*(1 + 2 + (-24)\/9)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in 0 + 6\/5*x - 3\/5*x**2 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -17*b**3 + 701*b**2 - 137*b. Calculate v(41).\nAnswer: 1107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*w - 4 + 4 + (-w + w - 2*w)*(-1 + 1 - 1) + 0*w - w + 2*w + (-3*w - 2*w + 4*w)*(-3 + 3 - 1) + 5*w + 0*w - w to the form k + b*w and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add -11984043 and 26.041846.\nAnswer: -11984016.958154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.5 in 2, 2\/3, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 5*b = -12 - 12, 43 = -5*h - 4*b. Let w = h + 11. Find the second derivative of 0*s**w + 7*s - 9*s**4 + 0*s**4 + 24*s wrt s.\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10420)\/(-16) + -3 + (-22)\/(-8). Suppose 37*a - y = 30*a. What is the greatest common divisor of 124 and a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = -51*m - 3518. Let f be v(-69). Solve 511*b - 510*b = f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of -3\/4*d**4 - 11*d + 9\/2*d**2 + 0 + 3\/20*d**5 - 1\/2*d**3. Factor g(y).\nAnswer: 3*(y - 3)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -319440*t**2 + 294*t - 7*t**3 + 319440*t**2 - 294*t.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j. Let g(b) = b. Let f(p) = 5*g(p) + 6*m(p). Let y(q) = 1. Let k(u) = -u + 7. Let o(s) = -4*k(s) + 28*y(s). Determine o(f(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 345 + -477. Let g = y + 134. Solve 27 = -3*v + 5*f - g*f, 15 = 3*f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1352 and 3185988?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33119 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(-15)\/9*3. Let d = 6 + r. Sort -1, d, -4 in descending order.\nAnswer: d, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 0.0636?\nAnswer: 0.0636","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 19 = 5*o + 60, -4*o = 3*v - 107. Let t = 3 + v. Suppose -3*q = 3*n - 120 + 45, 2*n + t = q. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 354, -1.1, 3, 1\/4, -10 in ascending order.\nAnswer: -10, -1.1, 1\/4, 3, 354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -4\/272095?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -135*m - 868. Calculate d(-10).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53086439 is divided by 220.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 348*-91.\nAnswer: -31668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/12*(-192)\/320?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 3*d + 3 + 0*d + 8 - 6*d. Suppose 4*h + 25 = -h. What are the prime factors of n(h)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10044, -3, -847, -1 in ascending order.\nAnswer: -10044, -847, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 + 6*n - 3. Let z be y(5). Suppose j - 4 = -j. Find the third derivative of c**j - c + c - z*c**3 + c**3 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -157\/440 + 5\/88. Which is the biggest value?  (a) -2  (b) s  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -15, -4, 3, -8 in descending order.\nAnswer: 5, 3, -4, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1422, 2839, 4256, 5673?\n\"Answer: 1417*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4706566369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 10*a**2. Let r(g) = 522*g**2. Determine r(b(t)).\nAnswer: 52200*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 6*z**2 - 7*z + 12*z + 3*z. Let t(l) be the first derivative of -3\/2*l**2 + 0*l - 2\/3*l**3 - 6. Calculate 3*r(p) + 8*t(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -7606511*n + 1037133.\nAnswer: -7606511","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p - 117. Let z(b) = -b - 176. Give -7*a(h) + 5*z(h).\nAnswer: 2*h - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*3*sqrt(8) - (sqrt(162) + sqrt(162)*-1 + 1)**2.\nAnswer: -1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*c - 73 + 41. Suppose -c*m - 24 = -4*o, -m + 3*m - 16 = -5*o. Solve -5*p + 16 = 2*l, 4*p + l + o*l - 6 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -4*w + 2*k, -10*w + 11*w = -2*k + 6 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-387)\/(-15)*1865\/(-1119)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 + -24. Suppose -p = -3*a - 18, 0 = -4*p - 5*a + n + 27. What is the lowest common multiple of 30 and p?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1455322 by -66151.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -37 + 7?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -95, -885, -3053, -7289, -14283, -24725?\nAnswer: -39305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1188 = 23*h + 182*h + 3322 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 69468 and 158?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -7 + -2 + 5 - -1. Let z(m) = 23*m. Let i(l) = -8*l. Let u(s) = b*z(s) - 8*i(s). Let a(k) = 2*k. Give a(u(n)).\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -25044.15277 to the nearest integer.\nAnswer: -25044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1477604087 a multiple of 882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, 9, 3, 3\/7 in ascending order.\nAnswer: 1\/7, 3\/7, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of f**5 - 4*f**4 + 14612*f**3 + 27*f - 431?\nAnswer: 20*f**3 - 48*f**2 + 87672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z + 2. Let i(q) = q + 1. Let m(h) = -6*f(h) + 5*i(h). Let l be m(-9). Solve -5*g = -2*y - 13 + 32, l*g - 3*y + 12 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1977*x + 770899 = -1926*x - 1683068. What is x rounded to the nearest 1000?\nAnswer: 48000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the first derivative of -b**5\/120 + 7*b**4\/6 - b**3 - 12. Let s(m) be the third derivative of k(m). What is the tens digit of s(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 4*d**2 - 3*d + 3. Let o = -46 - -53. What are the prime factors of s(o)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, n: 2, s: 1, w: 1, d: 1, m: 1}. Give prob of sequence nw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -144615 divided by 5.\nAnswer: -28923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + sqrt(288))*6 + 1 + sqrt(288) + sqrt(288)*5 + sqrt(288))**2.\nAnswer: -9048*sqrt(2) + 49513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 47*n + 817 - 1965 - 638 for n.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 291.4*84\nAnswer: 24477.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3)\/(-18)*3*0. Suppose m = -p + 6. What is the remainder when 33 is divided by (-16)\/m*18\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.04 - -1.96. Let i = -2 - q. What is the smallest value in 5, -1\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3042 - 17?\nAnswer: -3059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*i - 595373 = 316145. List the prime factors of i.\nAnswer: 9697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -163\/1710 - 3\/190. What is the third biggest value in -0.4, 0.4, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 3056560, 12226036, 27508488, 48903910, 76412296, 110033640, 149767936?\n\"Answer: -w**3 + 3056494*w**2 + w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 449889113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27702930 and 2528.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -4*z**3 + 3*z**2 - 5*z + 4. Suppose 5*a + 1 = -4*p, 4*p - 3*a + 25 = -0*p. Let h(d) = 3*d**3 - 3*d**2 + 4*d - 3. What is p*t(y) - 5*h(y)?\nAnswer: y**3 + 3*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*r**3 + r**3 + 18*r**2 - 12*r**2 + (-r**2 + r**2 - r**2)*(3*r - 4*r + 3*r) + 3*r**3 - 2*r**3 + 0*r**3.\nAnswer: 10*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**3 + 11*d**2 - 18*d + 6. Let g = 6027 + -6018. Give f(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 5 = -4*s, 2*s = -0 - 2. Suppose h + 2*h = 2*f + 64, 3*h = -4*f + 52. Suppose -8*b = -y*b + h. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 16 = 19*x - 14*x, -2*f = 2*x + 6. Sort 2\/9, x, -1\/2, 2\/3.\nAnswer: x, -1\/2, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 27432231.6 to the nearest one million.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 4 = -4*i - 5, 5*i = -4*y + 12. Let n be (-76)\/(-90) + (-232)\/522. Which is the biggest value?  (a) n  (b) i  (c) 2\/11  (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*o + 9*o + 592*o**3 - 592*o**3 - 199*o**4 wrt o.\nAnswer: -2388*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 4*q - 120 = 0, -2*q + 44 + 6 = 2*m. Suppose 0*p = 4*p - m. Suppose -p*r + 61 = 6. Solve -4*s = 3*b + r, 0 = -5*b - s - 2*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 5*l = 97, -4*z + l = -l - 62. Let r = 24 + -14. What is the lowest common multiple of z and r?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/442 and -23\/8177.\nAnswer: 16354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2432 is divided by 681?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -8559.89 rounded to the nearest one hundred?\nAnswer: -8600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 10:52 PM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 - 13253?\nAnswer: -13252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1265\/63 - 101\/21. Let s(r) = r**2 - 18*r - 44. Let f be s(19). Let k = f - n. What is the second smallest value in -2\/21, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -210 (base 4) in base 9?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -17 or -3001174?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1 + -b3?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 12\/(-2) - (-1 - -1). Let a = l + 5. Let f = a + 8. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (233\/8119584*176)\/((2\/12)\/(1\/1)).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -222 - -223.9. Let x = -1 - 1.4. Let m = n + x. What is the second biggest value in m, 3, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -162, -316, -470, -624?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 173745330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21281 - -36214. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1112130 is divided by 641.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 + -42. Let x = u + 36. Let q be (8\/(-30))\/((-6)\/9). What is the third biggest value in x, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 6*m - 83. List the prime factors of d(26).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -57*x**3\/5 + 282038*x**2\/5 + 554404*x\/5 - 3960 = 0?\nAnswer: -2, 2\/57, 4950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r + 4*z = -4*r + 20, 5*r - z = 19. Suppose -2*c + 32 = -0*c + r*v, -5*c + 3*v + 132 = 0. Suppose 2*i - c = -4. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -5*h + 250, q + 9 + 53 = h. Let z be (q\/18)\/((-2)\/(-3)). Let c be (-1 + -1)*z - 4. Solve -c*r = -r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by -29709\nAnswer: 4\/29709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18732040*x**2 + 639694219*x?\nAnswer: 37464080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -18.7 + 18.6. What is the nearest to 1 in i, 0.2, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -10*w**2 + 1420*w + 39. Calculate c(142).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 - 3*s**2 - s**4 - 36178*s + 21*s**2 + 36214*s in the form d*s**2 + l*s + g*s**4 + z + y*s**3 and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**3 + 6*c**2 + 8*c + 9. Suppose 2*f - 5*f + 21 = 0. Let n be h(f). Solve z + 3*z = -n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -340, -342, -352, -370?\n\"Answer: -4*k**2 + 10*k - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 4*p**2 - 10*p + 2. Let r be q(2). Let m(a) = 3*a**2 + 6*a + 3. Let o be m(r). Solve u = o*u - 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 12:44 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**2\/5 + 4714*h - 47136\/5.\nAnswer: -(h - 23568)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 352, 1409, 3170, 5635, 8804?\nAnswer: 12677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**2 - 35*i + 3820. What is x(-81)?\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -55 + 57. Suppose z = -s*n + 2*z + 77, 190 = 5*n - 2*z. Let b(c) = c**3 + 12*c**2 + c + 30. What is the smallest common multiple of n and b(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1134, -2251, -3628, -5259, -7138, -9259, -11616, -14203?\nAnswer: -17014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -126*k + 6. Let j be o(-5). Let i = 215 - 205. Suppose -j = -i*c + 184. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -15*d**2. Let u(v) = -4*v**2 + 4. Give u(g(r)).\nAnswer: -900*r**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -30907699\/357 - -86576. Find the common denominator of -145\/3876 and p.\nAnswer: 27132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(1\/6)\/l)\/l)\/l)\/(l\/(l\/l**7))*l**(1\/2)*l*l\/l**(-3\/2) assuming l is positive.\nAnswer: l**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 148 and 67673.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 18*z - 951. What is b(29)?\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -29*j - 6*j - 23 - 26*j. Let p be z(-18). What is the greatest common divisor of p and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - (9 + -6)) + 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the third derivative of 25*h**7\/42 + 5*h**6\/12 - h**5 + 7*h**4\/12 - h**3\/6 - h**2. Determine m, given that c(m) = 0.\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the second derivative of 3*t**5\/20 + 23*t**4\/2 - 48*t**3 + 1833*t + 1. What is s in l(s) = 0?\nAnswer: -48, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 360163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29 + -31. Sort 5, i, 12 in ascending order.\nAnswer: i, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3003 divided by -7\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 2\/3, 3, 0.2 in ascending order.\nAnswer: -3, 0.2, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1417032835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 2 - 2 = 0. Let z be (23514\/1236 - 19)\/(25\/10). Does z = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -342 + 0.01?\nAnswer: -341.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 7, h: 1, x: 5}. Give prob of sequence px.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = 2*v + 4*i + 6, 4*v - i = -24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - l - 28 + 1, -3*l = 0. Let s be (-6)\/q*1*-3. Suppose g - 4*t = 83, 10*g - 5*g = s*t + 343. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 395 - 392. Let n(z) = z - 3. Let d be n(6). Solve 0 = -v*c + d for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6949051?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6.3 + -5.3. Put -7, 1\/2, b in decreasing order.\nAnswer: b, 1\/2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 298691817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -144368142 by -144368142.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 35042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 1547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -266, -2212, -7530, -17918, -35074, -60696?\nAnswer: -96482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 365.5 - 366. What is the third biggest value in -43\/4, 2, m?\nAnswer: -43\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2191 in -5, -1, 6, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i**2 + 263*i + 18964 - 2*i**2 - 18964 to r + c*i + l*i**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -62 + -22?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 4*t**2 + 3*t - 5. Suppose 16 = -2*q - 2*q. Let o(a) = a**3 + a**2 - 4*a - 5*a + 9*a + a - 1. Determine q*o(y) + j(y).\nAnswer: -3*y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 980079 is divided by 3908.\nAnswer: 3079","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 16842 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 267, 265, 263, 261, 259, 257?\n\"Answer: -2*f + 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 6*k**2 + 4*k + 12. Let h be r(-4). Let f = -46 + h. Find the common denominator of -28*(f\/12 + -4) and -119\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -6746901 divided by 6\nAnswer: -2248967\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15035 (base 6) to base 16.\nAnswer: 95f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -51616*a**3*c - a**3 - 5*a - 2136 wrt c?\nAnswer: -51616*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 7084 divided by -44\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3324113722 to the nearest integer?\nAnswer: 57655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-3)*7\/(-1260)*-45\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.09612 and -8939143.\nAnswer: -8939143.09612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(108) + -1 - sqrt(108)) + sqrt(108) + 2 + -1)**2*-6.\nAnswer: -654 - 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-7 - 5*i + 7 + (-i + i - 2*i)*(-2 + 3 + 1))*((3*i - 2*i + i)*(2 - 1 + 0) + i + i - i)*(-1 - 2 + 13) as u*i**2 + k + l*i and give u.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 5988?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*p = 79*p - 13658211. Suppose -p = 7*q - 7677173. What is q rounded to the nearest 10000?\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 2 = 4*f + 2, 4*t - 32 = -3*f. Solve -21 = -3*z - 3*l, 2*z + 2 + 12 = t*l for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 14 - 7 - 8 + x - 2. What is d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmlmltium. What is prob of picking 1 t and 2 l?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.174*-3.9513.\nAnswer: -0.6875262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {p: 2, r: 7, d: 1}.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -28.89 - -29. What is d rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1 + 10. Let g be 0*(i\/(-6) - -2). Suppose g = -5*d - a + 5*a + 11, -5*a + 2 = -d. Solve -8*r = -d*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*x + 27*x + 126 = 63*x for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 6713512  (b) 4  (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, 2915, 1, -57, 0.1, 17\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4914869.\nAnswer: 4914869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - -49278?\nAnswer: 49280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.3  (b) -0.4  (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -9*h**2 + 1. Let q be ((-64)\/24)\/(2\/(-3)). Let n = -5 + q. Give t(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (60\/(-16))\/((-3)\/16). Solve 0*w + a = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 434+-1.8\nAnswer: 432.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/((0 + 1)\/(-1)). Suppose j = -4*b - 5*o + 7, -13 = -3*b + 2*o + 2*o. Solve b*c = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + -26 + 10 - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1137.19855 to the nearest 10.\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 7*p + 146. Let s be (-728)\/(-22) + 47\/(-517). Is d(s) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the second derivative of 7*q**4\/48 + 2*q**3\/3 + q**2\/2 + 76*q. Factor f(n).\nAnswer: (n + 2)*(7*n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 440807 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1384 divided by -4\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + 6\/4 + (-86)\/(-4). Suppose -22*b = -13*b - 45. Calculate the greatest common factor of g and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 94  (b) -0.1  (c) -2\/13  (d) -521  (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:52 AM and 4:06 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w - 2*w + 4*w)*(-7*w**4 + 3*w**4 + 2*w**4) - w**4 + 2*w**5 + w**4 - 2*w**2 + 3*w**2 - 462*w + 23*w**5 + 460*w + 5*w**4.\nAnswer: 27*w**5 + 5*w**4 + w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1685 divided by 3.\nAnswer: -1685\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 5*f. Let g(i) = f*i + 0*i + i - 10 + 3. Let u be (-1 + 2)*(-93 - -100). What is g(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1*(-296)\/(-204) - 6\/(-51). Suppose 0*k - 2*r + 70 = -5*k, -k + 4*r = 32. Which is the nearest to 2\/3?  (a) 3\/7  (b) n  (c) k  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w - 3. Let j be l(-7). Let h(k) = 1 - 3*k + 3 - 1. Let d(b) = -b + 1. Calculate j*h(m) - 11*d(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the third derivative of -17*j**5\/30 + 100*j**2. Let k(h) = 13*h**2. Calculate k(o(c)).\nAnswer: 15028*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fytt when four letters picked without replacement from ttyjftj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Are 149\/20 and 6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 5*w - 31765 = 0, -42*t + 31825 = -37*t - 5*w. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 4393*s - 210856. What is u(48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 149*12\/69 + (-12638)\/(-145337)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -461 + 461.002519. What is o rounded to 3 decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k + 40. Determine o(52).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1713 - 1710. Let a = 0 - -0.1. What is the closest to 0 in a, i, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14446614, 28893236, 43339864, 57786498, 72233138, 86679784?\nAnswer: 101126436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -5 - (0 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, -11, 15, -1\/22?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1018145 and 5?\nAnswer: -5090725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -901 - -914. What is the remainder when 336 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/27?  (a) -3  (b) -1  (c) 0.4  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 11593 + 45605. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the second derivative of p**4\/3 + 3*p. Let w be x(1). What is the tens digit of w\/18 + (-7902)\/(-162)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*p + 34. Let u(n) = n**3 + 9*n**2 - 4*n - 21. List the prime factors of u(p).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 - 12*c**2 + 12*c - 5. Let b be v(11). Find the third derivative of 12*i**b + 101*i**4 - 47*i**4 - 51*i**4 - 5*i**6 + 309*i**2 wrt i.\nAnswer: 840*i**3 + 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 742381 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -188\/285 + -8\/57. Is h less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 265474 and 3509.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -137*q + 133*q = 0. Suppose -10*t + 6398133 - 1198133 = q. Round t to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 370*m - 345*m = 1675. What is the remainder when 237 is divided by m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34260 + -34337.995. Let q = 0.005 - d. Let v = q - 83. Which is the smallest value?  (a) v  (b) 2\/7  (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -121 + b - 84 + 228. Let y be i(7). Suppose -35*m + 825 = -y*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*w + 3906721 + 2613331 = 16*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.351 + -2?\nAnswer: -1.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t = 4*k - 20, -8 = 3*t + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -164 - -240. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8333 less than 8339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-20)\/42 + (-1)\/(-3). Let o = -0.36 - -0.06. Let x = o + 0.2. Which is bigger: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b**2 - 8*b + 61. What is the tens digit of m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 + 8932\/12 - (-26)\/39 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of -r**4\/66 - 6*r**3\/11 - 81*r**2\/11 - 34*r. Factor s(m).\nAnswer: -2*(m + 9)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1810977.6268 rounded to the nearest ten thousand?\nAnswer: 1810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(1*(-1*(sqrt(204) + 1*sqrt(204)) + sqrt(204) + sqrt(204) + -2*sqrt(204)*4)\/(sqrt(768)*-2*6))**2.\nAnswer: 17\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 0 + 3a?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 120625, 120843, 121061, 121279?\nAnswer: 121497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 5 + 5. Suppose 4*i - 3*c + h*c = 112, 16 = -4*c. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 31 + 16*(33 + -35). Let h = 702\/7 - 100. What is the closest to s in -0.04, h, 0.2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2133 and 4266?\nAnswer: 4266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000319281 to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -5, 23, -11, -4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 341580.\nAnswer: 2, 3, 5, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 49.\nAnswer: 5\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1958, 1879, -2354, -12817, -31586, -60737, -102346, -158489?\nAnswer: -231242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -20 - ((31 - 50) + -25).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a millennium in months?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-6)\/(4\/((-48)\/9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 4.164  (b) 2\/13  (c) -1\/4  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13510 and 1726410.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*-51517228.\nAnswer: -51517228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 113343?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -6*b - 48. Let s be t(-9). Let f(y) = 4*y**2 + 9*y + 17. Let u(k) = -2*k**2 - 5*k - 9. Calculate s*f(a) + 11*u(a).\nAnswer: 2*a**2 - a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122 (base 5) to base 2.\nAnswer: -100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/5)\/(2\/(-5)). Suppose 5*l + 13 = -7. Let p be l\/(-14) - (-19)\/7. Solve -p*v = x*c - 15, 10 - 4 = c + v for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -298*d**2 - 3889*d - 193. Calculate c(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of -f**4\/36 - 89*f**3\/18 - 15*f + 2. Solve k(z) = 0.\nAnswer: -89, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 28*c**3 + 3*c - 2. Let z be w(1). Let l = z - 24. Suppose l*o - o = y + 78, 3*o = 3*y + 54. Calculate the remainder when o is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is nineteen quarters of a microgram in nanograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 847 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-50))\/(55\/(-275))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 39.093 - 10.093. What is the third biggest value in 6, -1\/5, y?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 59846, 119561, 179276, 238991?\n\"Answer: 59715*o + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 265944323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 17.763054 months?\nAnswer: 0.014802545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0\/(-4) + 3)\/(1\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5208 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/7)*(d**(-1\/4)*d)\/d)\/(d\/(d**(-2\/5)*d))**(-2\/19) assuming d is positive.\nAnswer: d**(-173\/2660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1901?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1668656388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -13*h**3 - 4*h**2. Let p(k) = 13*k**3 + 5*k**2. Calculate 4*p(w) + 5*t(w).\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = z**3 + 2*z**2 + 3*z + 4. Give m(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -93 + 183. Suppose w = x - 53. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4566 and -0.1.\nAnswer: 456.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -128 (base 16) in base 3?\nAnswer: -101222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1728918530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 65830 + -177619. Let h = z + 19789. What is h rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36177 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 3 + 9 = 0. Suppose 0 = -5*l - h*q - 3, 0*l + l = -2*q - 2. Solve 0 + l*m - 2\/9*m**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = 6*v - 46. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 51232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1342 + 1340. Let j be ((-1)\/(-2))\/((-13)\/(-78)). What is the fourth biggest value in r, 1, -15, j?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7502.003 centimeters to meters.\nAnswer: 75.02003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - 5) + -1 + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 249485 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 y(i) = -2*i**3 + 7*i**2 - 2*i. Let d be y(3). Let b be 4 + (d\/(-27) - (-19)\/9). Solve -3 = -2*r - 4*m - 9, 5*m + b = -4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-24)\/(-54)*1530\/(-20)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o. Let r(h) = -5*h**2 - 2. Let l(s) = -11*s**2 - 5. Let j(w) = -2*l(w) + 5*r(w). Calculate d(j(m)).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1311828199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 2224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 406 = 2*l + 10*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 621972 and 440.\nAnswer: 68416920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 119\/144 and -57\/80?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17195.\nAnswer: 5, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*((-117)\/39)\/3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3308.758 - -3304. Let a = y - 0.116. What is a rounded to zero decimal places?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 - 1824*i**2 - 207936*i.\nAnswer: -4*i*(i + 228)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Add together -6903049348 and -0.5.\nAnswer: -6903049348.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 + 3 = 3*w + 4*x, 4*w - 57 = x. Let f = 6 - w. Let j be (f + 1)*(-2)\/4. Solve -2*b - 5*h + 2*h + 3 = 0, j*b = 4*h + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 divided by -448?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)*-4 + 2 + 1)**2 - (sqrt(9)\/(4*sqrt(27))*-6)**2.\nAnswer: -144*sqrt(3) + 6945\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2  (b) -1\/1257  (c) 2\/13  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1088\/14 - (-10)\/35. Suppose i = 1 + r. Suppose -5*k + i = c, 4*c - 3*k - 316 = -k. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32114 = -22*i + 23502. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29063379.\nAnswer: 3, 9687793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 411554733 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*x = 4*y - 43*x + 254, -3*y - 3*x - 1 - 3 = -46 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -18 + 17c348a?\nAnswer: 17c3472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 212924.\nAnswer: 2, 53231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = 10*p - 15*p. Put p, 3, 1\/3, -1 in descending order.\nAnswer: 3, 1\/3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/5, 122, -2476\/15?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -16*q - 668. Calculate l(-47).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*r - 5*r + 4*r)*(-7*r**2 + r**2 + 2*r**2 + r**2 - r**2 + 2*r**2 + (2*r - 5*r + 2*r)*(3*r + 0 + 0)) in the form a*r + u*r**2 + s*r**3 + n and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + 10203?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 7*f**2 - 7*f - 4. Let r be u(-6). Let k = 2.111 + -7.111. Which is the smallest value?  (a) 3  (b) -1  (c) r  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 66 - 68. Which is the third biggest value?  (a) -2\/9  (b) 1\/2  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 153136452?\nAnswer: 2, 3, 7, 1823053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*x + 0*x + 4*x)*(15*x - 111 + 111) - 2*x**2 + 6*x - 6*x + (2*x - 3*x + 3*x)*(-x - 2 + 2) + (4 - 4 + 2*x)*(0 + 0 - x).\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -6. Suppose -3*s = j*q + 2789985, -q - 9 = -4*q. Round s to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/3 + 23696\/24. Let k = q - 164. Let p = k + 1446. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9098 + 9100 - (3 + (-1 - -1))) + (-1 - 29).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4068193525.\nAnswer: 5, 11, 569, 25999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1011 + -110?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r**3 - 3*r**3 - 3*r**3 + (57*r**3 + 45*r**3 - 20*r**3)*(-4 - 2 + 4))*(8 + 0 + 2*r - 5).\nAnswer: -338*r**4 - 507*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 121 a factor of 15211809?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 293638 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 - 4*r + 4*r - 3*r + 9*r**2 - 5*r - 2. Let n be h(8). Let l = n - -16. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**3 + 6*h**2 + 7*h - 2. Suppose -5 - 15 = 5*t, 23 = 3*m - 2*t. Let j(z) = -z**3 + 5*z**2 + 6*z - 2. Give m*r(l) - 6*j(l).\nAnswer: l**3 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is -114179134 < -114179134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -15 (base 9) to base 5\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1887615060 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*(-4)\/2 - (8 + -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 10\/15*(-5 + (-86)\/(-16))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 + 10.1. Let j = 12.88 - 84.88. Which is smaller: o or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(459) - sqrt(51)) + sqrt(51)*1*-5)\/(5*sqrt(243)*-5)*-1.\nAnswer: -sqrt(17)\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1389566 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(48)\/sqrt(4)*2 + sqrt(12))\/(sqrt(36)\/(sqrt(12)\/sqrt(2))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -33639090 by -7242.\nAnswer: 4645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.0777 from -0.5.\nAnswer: -0.5777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 125000 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 645 + -661. Let c be (-1)\/(-5) + h\/(-20) + 12. Which is smaller: 138\/11 or c?\nAnswer: 138\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 + 11*g - 3. Let v(i) = -i**2 + 12*i - 4. Determine -7*j(l) + 6*v(l).\nAnswer: l**2 - 5*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(3\/7)*r*r**2\/r)\/(r**(-2\/21)\/r**(-2\/5)))\/(r**(2\/5)\/r**(5\/3))**43 assuming r is positive.\nAnswer: r**(5942\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 571*w - 12520 = 2885*w + 12934 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4820976 months in centuries?\nAnswer: 0.000401748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 0 = -8. Suppose -l*j = -j - 1. Suppose 0 = 2*b - 5*w + 1, -2*b - 3 = -b - 5*w. Put -1, b, j in increasing order.\nAnswer: -1, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-132)\/(102\/(-12) + 7) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-10)\/(-15))\/((-14)\/(-1050)). Differentiate 16 - 146 - 60 - 188*a**4 - v with respect to a.\nAnswer: -752*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(5 + -3 + -12). Which is the smallest value?  (a) y  (b) 1  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 523501 (base 7) to base 6\nAnswer: 1533104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 17 = -4*i + 3, -5*i + 4*w - 20 = 0. Let o(d) = i*d + d + d. Let a(b) = 2 - 6 + 3*b + 2 + 2. Determine o(a(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 2 + -3 + 0 + (66 - 59)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 3 = -2*n + 11, 4 = -x + n. Sort 12, x, -6.\nAnswer: -6, x, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/(-2) + (-8 - (0 + -6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1149*j + 8344*j - 2000*j.\nAnswer: 7493*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-297)\/132*4\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 19 + (-133 - -122 - (-13 + -2))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (7 + 7)) + 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.193303997 rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 188 - 353 + 5*f**2 + 179 to the form b*f**2 + r + j*f and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7\/7023 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4.4 and 41.\nAnswer: -180.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 - 1)*(-18)\/36 - -1. Suppose -g*x = -2*o + 123, 0*o - o - x = -59. Calculate the remainder when o is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -11*j**2 - 2*j - 1. Let v be f(-1). Let d be (-4 - 1)*6\/v. Suppose -3*o = -d - 0, -x + 22 = 2*o. What is the remainder when 37 is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rbrbbbbbibbbbbbbb. Give prob of sequence bbri.\nAnswer: 13\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 590, 1167, 1738, 2303?\nAnswer: 2862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + 9. Let w be q\/(-8) - 21\/56. Let f be 2\/w*-1 + 2. Solve 5*m + 2*v + 20 = -f*v, 4*v = -2*m - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-3))\/r**(-7\/3)*(r**(3\/11))**(-4\/37) assuming r is positive.\nAnswer: r**(371\/1221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r + 2*r - 2*r. Let b(i) be the second derivative of -i**3\/6 - 52*i - 3. Calculate b(u(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 2*n - 4. Let b be x(4). Suppose 0 = -3*r - p + 9, -5*r = -0*r + 3*p - 11. Suppose 1 + 7 = r*a. Solve 4*f - b*g = a - 6, -5*g = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -25*h**3 + h**2 + 3*h + 1. What is the smallest common multiple of c(-1) and 20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41376787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 + q + 6. Suppose 0 = -5*k + 1167 - 942. Suppose -5*r - k = -5*p, p + r + 9 = 10. Give z(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmwwdfw. Give prob of sequence mdm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 + 5. Suppose -l*m = -2*m - 4. Let s = 6 - m. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c**3 + 7*c**3 - c**3)*(-4 + 1 + 0 - 1 - 2 + 2 + (-3 + 1 + 1)*(4 + 2 + 6)) + (2*c**2 + 0*c**2 - c**2)*(4*c + 5*c - 4*c).\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3924612 and -3.\nAnswer: 3924609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 6 = 6*r. Suppose -w + 1 = -2*l, 4*w = -r*l - 10 + 3. Let i(m) = 3*m + 4*m**2 + 2*m + 1 - 3*m. Give i(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11111010111100 (base 2) to base 13\nAnswer: 7405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 42065007 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 5*k - 35. Let l be y(7). Suppose -2*u + 1 = -3. Solve 7*z - u*z - 5 = l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1164 - 98 = -2*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 97200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 5*t - 6. Suppose -7 = -2*i - t. Solve i*w = 2 + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 40026 and 188664.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (6*(-3 + sqrt(63)) - (3 + sqrt(252)\/sqrt(4))).\nAnswer: -24 + 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 4 = -4. Let q(z) = 42*z - 1 + 0 - 5 - 1. Is q(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12619519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -g**2 + 14*g - 30. Let m be k(3). What is the third derivative of 143*x**2 + 24*x**3 + 31*x**m - 9 - 145*x**2 - 18*x**3 wrt x?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -26574*a**4 - a**3 - 2*a**2 + 28768*a + 6 wrt a?\nAnswer: -637776*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-628)\/(-45) - ((-25 - -15 - -9) + 15)\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -26101215, -26101204, -26101193, -26101182, -26101171, -26101160?\n\"Answer: 11*d - 26101226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -174 (base 9) in base 6?\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/(-9))\/(168\/63). What is the third smallest value in l, 10, 4\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u + 1 - 1 + (0*u - 3*u + 2*u)*(1 + 0 - 2) - 3*u + 0*u - 2*u + 3*u - 5*u + 4*u - 5*u + 2*u + 2*u + (4 + 2 - 7)*(u + 2*u - u).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -27 + 6*m**2 - 4*m**2 + 322 + 260 - 136.\nAnswer: 2*m**2 + 419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -1 + 4*p**2 - 3*p**2 - 17*p + 15*p. Let i be b(0). Let t(o) = 5*o - 1. What is t(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -576*m**2 - 97*m**2 - 2099*m**2.\nAnswer: -2772*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**2 + 10*f + 212. Let s(q) = -642*q. What is s(b(w))?\nAnswer: -1284*w**2 - 6420*w - 136104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (24\/(-15))\/((-12)\/90). Let y be (1 + j\/(-8))*140. What is the units digit of (-2370)\/y - 2\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 250855 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: Calculate -250.83*-53.1.\nAnswer: 13319.073","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3 + 3. Suppose -72 = -j*r + 3*r. Let b = 58 + r. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4)\/(-8))\/(1\/244). Let b(v) = -169*v - 3581. Let w be b(-22). Solve -5*k + w = i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 201764631 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes after 4:19 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -501*f**2 - 202 - 6*f**2 - 102*f**2 - 149*f**2 with respect to f.\nAnswer: -1516*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 74 + 188 = 2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3260 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 123228?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14 - 9. Suppose 4*m - 6*m = -8. Solve -3*x - m = h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2)\/(2\/3)*-1. Suppose 51 = -c - 3*t, 19 = -c - 5*t - 38. Let x be 2\/(-4)*(c\/(-12) - p). Sort x, 2\/11, -7 in decreasing order.\nAnswer: 2\/11, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/5280 and -107\/8448.\nAnswer: 42240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(24)\/sqrt(6))\/sqrt(2))**2*4 + (-5 + sqrt(2) + 2 + sqrt(2) + sqrt(2) + -1)**2.\nAnswer: -24*sqrt(2) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 14166201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3929 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -1. Let f(u) = u**2 - 2. Suppose 3*b + 1 = w, b - 6 = 3*b + 2*w. Let g be b\/(-1)*3 - 2. What is g*f(q) - 2*o(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28335, 34517, 44821, 59247, 77795, 100465?\nAnswer: 127257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n + 19. Let s be f(-8). Suppose 4*r = 5*t - 18, 4 = -t - s*r - 0. Solve -t*u - 5 + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4508850061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - -2 - -4 - (-7 + 2) - -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u**5\/8 - 123*u**4\/8 - 1041*u**3\/8 - 1717*u**2\/8 - 399*u\/4 = 0 for u.\nAnswer: -114, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 87 = -99. Suppose 297 + q = m. Suppose -3*u = -m - 222. Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27455 is divided by 686?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 1.2, -2\/13, 0.1, 0.04 in increasing order.\nAnswer: -2\/13, 0.04, 0.1, 1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -69*v + 55. Does 89 divide h(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 213306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cvvvcvvcvvcvcvvvvvv. What is prob of picking 2 c and 1 v?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 6*g**5 + 67*g**4 - 2545*g**3 + 15510*g**2 - 19616*g - 3712 = 0.\nAnswer: -29, -1\/6, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -241*c + 459*c - 267*c.\nAnswer: -49*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*(8\/2 + 2). Let p(o) = -j*o - 1 + 0*o + 2*o. What is the smallest common multiple of p(-1) and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 972 and 338526?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -162 + 1504. What is the remainder when n is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 325*f**2 + 29582*f + 641. Give v(-91).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 1 = m, -3*v - 4 = 4*m - 6*v for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 7\/16  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 73254 and 1914?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*-1*sqrt(275)*3.\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -53*z + 1109. Determine c(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 309 + -5869\/19. Let m = 78 - 75. Suppose 34*g = 37*g + m. Is g smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d + 7*d = 0. Suppose -m - 4*z + 6 = d, 9 = 5*m - 2*z + 1. Let c(h) = 1 - 1 - 14*h - m*h. Let o(x) = -2*x. Determine o(c(q)).\nAnswer: 32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from uffnenynffeyeyynk.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 2100 divided by 1050?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 204\/11, -303, 3\/7, -0.5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes before 4:19 AM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -54, -27, -2, 33, 22 in decreasing order.\nAnswer: 33, 22, -2, -27, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(1216) - (3*sqrt(114)\/sqrt(6))**2.\nAnswer: -169 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1440541893 and 1191.\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssst when four letters picked without replacement from kttttkktsststssk.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 523*y - 295. What are the prime factors of h(17)?\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 + 2*o - 17. Let f be p(-7). What is the highest common factor of 246 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 8 = 3*z. What is the remainder when 52 is divided by 2*(-1)\/z - -19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 88 and 3154216.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = s + 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 82*q**5 + q**4 + 85609*q**3 + 1081*q**2 + 7879 wrt q?\nAnswer: 4920*q**2 + 24*q + 513654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**26\/(v\/(v\/(v*v**(-1\/3))*v)))**(-1\/3) assuming v is positive.\nAnswer: v**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*n**4 - n**2 + 53438*n?\nAnswer: 48*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19904461.\nAnswer: 107, 186023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 48815585 divided by -85?\nAnswer: -574301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7*o**2 + 76*o**5 + 9*o**2 + 158*o**5 + 2337 + 6*o**5 wrt o.\nAnswer: 14400*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 261*r - 62*r - 19 = 101*r + 97*r + 11, -29 = b - 4*r for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = 19 + 7. Let a = h - -31. Suppose -2*u + 11 = -a. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) 0.5  (c) 2\/15  (d) 5  (e) -108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 t when three letters picked without replacement from {p: 1, t: 3}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (-13 + -7 - -3)) + -13 + -74\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2433968 and 48?\nAnswer: 116830464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 3*d, -d - 3*o + 6 + 7 = 0. Which is the nearest to 0.1?  (a) d  (b) 0.4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 5*y - 12. Let l = y + -2. Suppose -3*f = -l*f + 4. Which is bigger: f or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54006.58 litres in millilitres?\nAnswer: 54006580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -27?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -72, -8, 164, 498, 1048, 1868?\n\"Answer: 9*f**3 + f - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/78)\/(-1*(-2)\/(-8)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -184.\nAnswer: 73.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40508?\nAnswer: 2, 13, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -0.1859, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 120, 244, 374, 510, 652, 800?\n\"Answer: 3*g**2 + 115*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -0.84  (b) 2  (c) -4  (d) 40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -70*k**2. Let v(u) = -u**2 - 65*u - 3. Calculate v(i(h)).\nAnswer: -4900*h**4 + 4550*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2331\/4 + 575. Let h(o) = o**2 - o - 7. Let z be h(6). What is the common denominator of (-2)\/(-4) - (z - -3) and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 30*r - 102. Let q(m) = -26*m + 89. Let g(u) = 7*c(u) + 8*q(u). Let o be 2\/(-14) - (-180)\/(-63). Give g(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -358 - -359. Sort -0.04, m, -13\/3 in descending order.\nAnswer: m, -0.04, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -131.3982  (b) -23  (c) 2\/9  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3350247?\nAnswer: 3, 1116749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2664059 milligrams in micrograms?\nAnswer: 266.4059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10658046 and 10658046?\nAnswer: 10658046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-14 - -11) + 23\/7. What is the second biggest value in m, -0.3, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (28\/35)\/((-72)\/(-35) + -2). Suppose -4 - m = -6*v. Solve -5*a = 2*j + 21, v*j + 2*j = 3*a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y + 11. Let s be 44\/6*15\/10. Let c(a) = 3*a - 21. Let o(x) = s*z(x) + 6*c(x). What is o(-4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 859*x = 855*x + 3*f + 26, f = -4*x + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*j**3 - j - 13*j**4 + 3*j - 2*j**2 + 12*j**4 + 2 to l*j**2 + q*j**4 + d*j**3 + b*j + i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 (base 7) in base 16?\nAnswer: 1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -94*c + c - 9*c to o + s*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9860.9991911 + -9861. What is v rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the first derivative of b**3\/3 + b**2 + 4*b - 278. Let a(l) = l**2 + l + 1. Calculate -2*a(w) + j(w).\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 0.1  (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -3*s**3. Let w(k) = -9*k**3 + k. Let i(q) = -7*l(q) + 2*w(q). Let m be i(-2). Let a = -9 - m. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*w - 1 + 1 + 3*w + 0*w - w + (3 + 2 - 3)*(2*w - 1 + 1) + w - 3*w + 3*w - 2 + 7 - 2*w - 7.\nAnswer: 7*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003568478 to 6 decimal places.\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2053512, -2053423, -2053332, -2053239?\n\"Answer: h**2 + 86*h - 2053599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 190 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + 9*q**2 - q + 9. Let t be n(9). Sort t, -1, 3 in increasing order.\nAnswer: -1, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(2\/47)\/(c*c**10))**(-9\/10))**(-1\/22))**(-26\/5) assuming c is positive.\nAnswer: c**(12051\/5170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 - 10*n**2 - 10*n - 8. Let g be a(11). Let c(w) = 7 + 1 - g + 6*w. Let v(d) = -d - 1. Determine c(x) + 5*v(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 5*l**3 - l**2 + 4*l + 8. Let s(q) = q**3 - q**2 + q + 1. Calculate 4*s(n) - z(n).\nAnswer: -n**3 - 3*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 193388 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -11110111111 (base 2) to base 7\nAnswer: -5532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -3017, -6037, -9057, -12077?\n\"Answer: -3020*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*o + 20*o = 43*o. Which is bigger: -1\/360 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 1 = 2. Let q be 3 - ((-6)\/n + -2). What is the units digit of q\/15*-2*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 842275, 842269, 842263, 842257, 842251, 842245?\n\"Answer: -6*o + 842281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 14074868, 14074888, 14074908, 14074928, 14074948?\n\"Answer: 20*g + 14074848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2246 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -24. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 243550384 divided by -3\nAnswer: -243550384\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p = -4*n + 60, 2*p + 7*n = -32333 + 32438 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 764 divide 149836827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 3*q = 13, 36*q - 32*q = 5*x + 7. Calculate the greatest common divisor of 2201 and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5aa052 (base 11) to base 9\nAnswer: 1730687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 194 - 118. Let s = b - 41. Suppose 9*q - s = 4*q. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 42600\/66030*(-217)\/(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fofo when four letters picked without replacement from {f: 14, o: 4}.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes before 2:17 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 757768.1ml?\nAnswer: 757.7681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 33*j**2*u**2 - 3461*j**2 - 3*j*u**3 with respect to u.\nAnswer: 66*j**2*u - 9*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/(-25)*-1*10\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ut when two letters picked without replacement from mvmmtmmummmmv.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u = -2*g + 15, 12 = 10*u - 14*u. Let i(b) be the first derivative of -14\/33*b**g + 7 - 2\/11*b**4 - 2\/11*b**2 + 2\/11*b. Find z, given that i(z) = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1422\/30 - (-4)\/(-10). Suppose 4*r + f = 4*k - r, 50 = 4*k - 2*r. Find the third derivative of 95*i**6 - 49*i**6 - 49*i**6 + k*i**2 wrt i.\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 358*m + 3018 + 742 = -894 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5233439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*u**3 + u**3 - 3*u**3 - 4*u + 5*u**3 + 4*u + (-71 + 36 + 38)*(u**3 + 2*u - 2*u).\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 373, -0.3, -4\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.007 - -96.69?\nAnswer: 104.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 16 - -7. What is the remainder when t is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 571888*z + 8006423. Calculate o(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -p - 5*l, -4*l - 17 = 3*p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 4*u**2 - u + 2. Let r be l(1). Suppose 14 = o + r*g, 5*o - 3*o + g = 10. Let v(b) = -5*b. Let m(i) = 6*i. What is o*m(f) + 5*v(f)?\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vtbbbtbtvbvbamffvtb. What is prob of sequence tvv?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 470 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*n = 41*n - 3602564. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32235?\nAnswer: 3, 5, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.4, 27431823 in descending order.\nAnswer: 27431823, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 96 (base 15) to base 2\nAnswer: 10001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide -399947 by -5.\nAnswer: 399947\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - -12011?\nAnswer: 12015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence scc when three letters picked without replacement from {s: 6, c: 12}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -8892*d**2 + 8890*d**2 - d - d - d**3 - 40*d**3 + 4 as y*d**2 + m*d**3 + p*d + n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.08994548 to 5 decimal places.\nAnswer: -0.08995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2\/4 - 4071*y\/4 - 4077\/2.\nAnswer: 3*(y - 1359)*(y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -834, -2015, -3528, -5367, -7526, -9999, -12780?\n\"Answer: w**3 - 172*w**2 - 672*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from svevxxvxvxxi. Give prob of picking 2 v and 1 i.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*(f**(-2\/3)*f)\/f))**(2\/91)\/((((f\/f**(-4))\/f)\/f)\/(f*f\/f**(-7))))\/(f**(1\/16)\/(f\/f**(-4)))**(-4\/33) assuming f is positive.\nAnswer: f**(65059\/12012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 368 - 367. Let s(o) = 35*o - 17. Calculate the remainder when s(z) is divided by (-5 + -1)*2\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -23*s**3 - 2*s**2 - s - 19. Let u(l) = -22*l**3 - l**2 - l - 17. Let j(a) = 3*h(a) - 4*u(a). Is j(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (4\/4)\/(4\/(-12)) - -8. Suppose -s = -q*j - 33 + 48, s + 11 = 4*j. Suppose 3*u - 18 = -0*u. Solve -u = -g + m - 3, j*g = -4*m + 28 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 120, 171, 294, 525, 900, 1455?\n\"Answer: 6*r**3 + 9*r + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbka when four letters picked without replacement from {k: 2, p: 1, f: 1, a: 2, b: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(4\/4))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2 + 0\/(-1) + 12. Solve -n = -6*n - p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yc when two letters picked without replacement from yccxy.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i - 1. Let t(s) = s**2 - 8*s + 6. Let b(y) = -2*y - 2. Let o(n) = 3*n**2 - n. Let d be o(1). Let r be b(d). Calculate r*v(z) - t(z).\nAnswer: -z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 836\/(-2288) - (-11)\/(-44).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*u**4 + 0 + 0 + (3 - 2 - 3)*(9*u**4 + 12*u**4 - 11*u**4) + 2*u**4 + 2 - 2 as n*u**4 + v + m*u + w*u**2 + x*u**3 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16*p**3*w**2*y + 309*p**3*w*y + 61*p**3 - 18345*p**2*w**2*y + p*w**2 + 25*p*y wrt p.\nAnswer: 96*w**2*y + 1854*w*y + 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-m + m + 4*m**2)*(-5*m + 43*m + 20*m) in the form n*m + g + v*m**2 + x*m**3 and give x.\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1631620177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**2. Let d(c) = -8*c + 2 - 2. Calculate u(d(l)).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -23311, 2, 1, 0, -6 in ascending order.\nAnswer: -23311, -6, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = b - 5*a + 14, 5*b = 3*a - 7. Let y be ((-80)\/(-32))\/(b\/2). Solve -y*k = 4 + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -584 or 13\/5?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000046508 rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -3\/4, -8, -4, -1, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -110, -2, 4, -252, 11 in ascending order.\nAnswer: -252, -110, -2, 4, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02198443 rounded to 5 decimal places?\nAnswer: -0.02198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 59396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 AM and 9:22 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 226523708 to the nearest integer?\nAnswer: 610","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 527810.\nAnswer: 2, 5, 47, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -17*k**2 + 9. Let b(h) = -51*h**2 + 26. Let c(w) = -4*b(w) + 11*n(w). What is the derivative of c(o) wrt o?\nAnswer: 34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 2, y: 2, r: 9}. What is prob of sequence rrmy?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2 + (4 - (-1 + 4)). Suppose -v*n + 9 = -0*n. Suppose n*u - m = 5*u - 30, -4*u - m + 62 = 0. Solve z = 5*z - u for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -2 + (-270)\/(-75)*((-8)\/(-3) - 1). Factor -1\/6*x**3 + 1\/3*x**k + 1\/6*x + 0 - 1\/3*x**2.\nAnswer: x*(x - 1)*(x + 1)*(2*x - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 2*o = -2*l - 689, 0 = 4*l + o + 915. Let p = 852 + l. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2613781223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 17*j - 1. Let n(u) = u. Give 6*n(p) - x(p).\nAnswer: -11*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 15684982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 + 1 - 1 - n)*(87 - 17229*n + 8549*n + 8682*n) in the form y*n**2 + q*n + w and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(152)\/(sqrt(8)*1))**2 + -2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 3724 = -11*t. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -247417 divided by -178\nAnswer: 247417\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p - 932 = -24*p - 380 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 1692 = -q + 213, 5*w - 4*q = 7393. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*i**2 + 4*i**2 - 3*i**2 + (110 - 78 + 125)*((0*i + 4*i - 5*i)*(2 - 2 - 2*i) + 3*i**2 + 2*i**2 - 11*i**2) in the form v + l*i**2 + z*i and give l.\nAnswer: -636","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 - y. Suppose -5*k + 7*l = 3*l - 5, 3*l - 3 = -3*k. Let n(f) = -f**3 - 6*f**2 + 6*f. Suppose 87 - 15 = 12*w. Give k*n(j) + w*g(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 602467061 to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -263691732 + 1?\nAnswer: -263691731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -2. Let o(y) be the first derivative of r*y**4 + 0*y - y**2 + 2 + 0*y**3 - 1\/5*y**5. What is the second derivative of o(u) wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*c**2 - 1 + 1)*(6 + 1 + 1)*(2 - 6 + 3).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -178 + -b405?\nAnswer: -b581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -o**4\/3 - 2*o**3\/3 + 3*o**2. Let i be y(-1). Suppose i*j = j + 21. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 46*t + 1. Let z be j(1). Let u = z + 16. Let x = 2244 - 2235. Calculate the greatest common divisor of x and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -119 + 114. Which is the nearest to 24?  (a) -1\/2  (b) n  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0319 to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Determine g so that 2*g**2\/9 - 104*g\/9 = 0.\nAnswer: 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - w + 292 + 57 = 0, -3*m - 5*w = -283. Suppose 3*c + 4 = 10. What is the highest common divisor of m and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 409761283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 513*y + 9 + 510*y - 1026*y - 40.\nAnswer: -3*y - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63941913?\nAnswer: 3, 7, 17, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 406, 1612, 3614, 6412, 10006?\nAnswer: 14396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 less than 5163?\nAnswer: 5162.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 3 - 2)*(-3 + 3 - 2)*(45*i**4 + 3*i**4 - 8*i**4) to f + n*i**3 + u*i + q*i**2 + g*i**4 and give g.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -2277020 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 284933479 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -32, -37, -42?\n\"Answer: -5*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 + 2. Let y be (4\/t)\/(1\/(-12)). Let m(o) = -y*o + o + o - 3*o. Let w(l) = -2*l. Determine m(w(s)).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 870, 1483, 2096?\nAnswer: 2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 0, -10\/7, 25, 182 in increasing order.\nAnswer: -10\/7, 0, 0.5, 25, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100012112001002 + -1?\nAnswer: 100012112001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 not equal to 413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.2491 - 40.2691. Let z = 40 + d. Which is the closest to -1?  (a) -0.5  (b) z  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -365 - -362. Let w = -29.967 - 0.033. Let o = 29 + w. Sort o, -0.4, x, 4.\nAnswer: x, o, -0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 174047238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 + (-15)\/(-3))\/((-505)\/45 + 11).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 45cbeed - -5?\nAnswer: 45cbef2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the first derivative of -g**6\/6 + 11*g**4\/4 + 1731*g**2\/2 + 378. What is the second derivative of v(j) wrt j?\nAnswer: -20*j**3 + 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**5 + s**4 - s - 1. Let o(f) = -21*f**5 - 30*f**3 + 51*f. Let b(y) = 18*d(y) + o(y). Suppose b(p) = 0. What is p?\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 4  (b) -4\/3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -210357142261 and -987.\nAnswer: -210357143248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the third derivative of -605*x**8\/336 - 143*x**7\/21 - 23*x**6\/6 - 2*x**5\/3 + 190*x**2. Suppose r(n) = 0. Calculate n.\nAnswer: -2, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2358710 to the nearest integer?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -228*x + 146. What is the hundreds digit of p(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 - 2 = 4*g. What is the remainder when 59 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*6\/(-16)*-1. Let f = -203 + 219.8. Let q = 17 - f. Which is the closest to q?  (a) 0.5  (b) -2  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3}. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine f, given that -f**3\/2 - 543*f**2\/2 - 5355*f\/2 - 13325\/2 = 0.\nAnswer: -533, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -320222023 - -10?\nAnswer: -320222013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15662.92999952 + 15662.77. Let d = -0.16 - v. Round d to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3345 is divided by 186?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.233 + 2891409176.\nAnswer: 2891409175.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -857*v - 1250 + 393 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 5*a + 0*a - 16 - 3*a - 126250*a**2. Let x be r(8). Round x to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 300 minutes after 4:48 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/36198 and -145\/24132?\nAnswer: 72396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 + 2*m - 10. Let s be (-8942)\/(-10) - 25\/125. Let z = -894 + s. Give l(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-38)\/247*(-104)\/(-16))\/((-1)\/(-21))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 14*t**3 + 11*t**2 + 17*t - 13. Let q(o) = -3*o**3 - 3*o**2 - 4*o + 3. Let x be (-5)\/(-10)*(-16)\/4. Let f(l) = x*s(l) - 9*q(l). Give f(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 21 + 25 = 5*j + 41 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 647*o - 330*o + 503*o + 2*o**2 + 158*o.\nAnswer: 2*o**2 + 978*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) be the first derivative of -3*o**4\/4 + o**3 - o**2\/2 - o + 3. Let y be d(2). What is the least common multiple of 24*(3 - y\/(-6)) and 22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of 33*v**6\/10 - v**4\/4 + 13*v**2\/2 - 46*v. Find the third derivative of a(y) wrt y.\nAnswer: 2376*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.5 from -15919.\nAnswer: -15918.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -3, 4, 6 in increasing order.\nAnswer: -3, -1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -453*y**2. Let b(l) = 286*l**2. Calculate k(b(d)).\nAnswer: -37053588*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((3 - 11) + 17)*632\/(-208560)\nAnswer: -3\/110","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y\/((y**6\/y)\/y)*y)\/(y\/(y**(-1\/5)\/y*y))*(y**(-1))**(-18\/11)*(y*y*y\/(y**0\/y)*y)**41\/(y**0)**42 assuming y is positive.\nAnswer: y**(11244\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seven twelths of a minute in milliseconds?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - 7558 = -b, 6*d = 5*b + 8*d - 37709. List the prime factors of b.\nAnswer: 19, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 140113661*h**3 - 41890138*h**2 wrt h?\nAnswer: 840681966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(95)\/(sqrt(35)\/(sqrt(7)*-1)) + 1 - ((sqrt(114) + (sqrt(114) - -1*sqrt(114)))*5)\/(sqrt(432)\/sqrt(8)).\nAnswer: -6*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 789, 792, 797, 804?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 22\/(-12) + 2 + (-1736)\/48. Is (-256360)\/(-36) - (-4)\/x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 177, 167, 157, 147, 137?\n\"Answer: -10*p + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 7*g + 30. Let o be u(6). Suppose o*t = 86*t + 14. Let c be (3 - 1)*(-1)\/(-2). Sort -2, c, t in decreasing order.\nAnswer: c, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 AM and 10:06 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*h**3*r**2 + 40*h**3*r + 25*h**3 + 944*h*r - 2*r**2 + r wrt h?\nAnswer: -12*h*r**2 + 240*h*r + 150*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 - 2*w**2 + 5*w**2 + (-6*w + 4*w + w)*(1 - 1 + 2*w) + (1 - 4 + 4)*(-3 + 3 + 4*w**2))*(-476*w - 1284*w + 322*w).\nAnswer: -4314*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 54\/13, -597 in descending order.\nAnswer: 6, 54\/13, -597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 109865739 is divided by 71?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from envlvlsssslss. What is prob of sequence len?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 34 = 30. Let k be -6*(1 - 6\/4). Suppose 6 = -3*j + 3*i, -k*i - 8 = 5*j - 22. Calculate the smallest common multiple of n and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -394, -568, -746, -934, -1138, -1364, -1618, -1906?\n\"Answer: -u**3 + 4*u**2 - 179*u - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 11226.43 minutes?\nAnswer: 673585800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*w = -16*w + 12. Let z(x) be the second derivative of 0*x**w - 10*x + 0*x**2 + 0 + 1\/8*x**4 - 3\/40*x**5 - 3\/80*x**6. Find j such that z(j) = 0.\nAnswer: -2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -x - 17. Let z be o(-6). Let i = -6 - z. Suppose -3*g = -2*j - 88, 2*g = i*g - j - 89. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94920157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0270511 to three decimal places.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 2335 (base 6) to base 2\nAnswer: 1000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11.2 - 38.8. Let h = -7191726.0200041 + 7191676.02. Let j = s - h. Round j to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85672 is divided by 315.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1 - 920)\/(2*6\/(-12)). Let c = o - 619. Suppose -375 = k - 6*k - 4*a, -4*k + c = -3*a. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k + 40 + 48 = 0. Let m be k\/77 - 32\/(-14). Factor 3*i + 3*i**3 - 6*i + 0*i**m + 3*i**2 + 0*i - 3.\nAnswer: 3*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -13*a**2. Let c(l) = -7*l**2 - 3*l - 3. Let b(r) = -8*r**2 - 4*r - 4. Let d(h) = 3*b(h) - 4*c(h). What is d(v(o))?\nAnswer: 676*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that -3*j**4 + 3*j**2 + 3*j - 6*j + 4 - 4 + 3*j**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3635*g = -3636*g + 50. What is the remainder when 212 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 344321?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 48\/(-292)*(232\/(-406))\/((-24)\/(-7))?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -372*c + 20839 = -2597 for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, -24, -80, -192, -378, -656, -1044?\nAnswer: -1560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -72*c**3 + 4*c**2 + 7*c + 23. Is w(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -3*q**5 + 62*q**4\/5 - 53*q**3\/5 - 54*q**2\/5 + 68*q\/5 - 8\/5 = 0.\nAnswer: -1, 2\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 93618 and 10402000.\nAnswer: 93618000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8003912?\nAnswer: 2, 7, 47, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 4, -16, 5 in descending order.\nAnswer: 8, 5, 4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.16 + 66.16. Let o = 61 - k. Which is the nearest to 0.1?  (a) -0.2  (b) -0.07  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -22841 + -824?\nAnswer: -23765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 PM and 1:22 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 8 = -k. Let i be (-48)\/(-30) + k\/(-10). Find the third derivative of -4*y**4 + i*y**4 - 33*y**2 + 20*y**2 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**9)\/x**(-10)*x\/(x\/(x**14*x))*x**(-4) assuming x is positive.\nAnswer: x**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -59 - (202 + -332) - (-16 - -2)\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -a**4 + 127*a**3 - 1584*a**2 wrt a?\nAnswer: -24*a + 762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(6\/13)\/x*x)**(-9\/7)\/((x\/x**(-29))\/(x**(1\/12)\/x)))**21 assuming x is positive.\nAnswer: x**(-34409\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**4\/9 - 2564*g**3\/9 - 331712*g**2\/9.\nAnswer: -2*g**2*(g + 146)*(g + 1136)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-67)\/(123816\/99)*-14?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -42121000 rounded to the nearest one million?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17027\/112 - 152. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9398412 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - 8. Let q = d + -8. Let m = q - -49. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3550 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(176) + (-2 + sqrt(176) + (sqrt(176) - (sqrt(176)*2 - sqrt(176))))**2 + -5.\nAnswer: -12*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, i: 1, g: 4, v: 1}. Give prob of sequence gpi.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -51, -2, -132 in decreasing order.\nAnswer: -2, -51, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -20*i*x**3 + 34*i*x**2 - 3*i - 3*x**3 + 1 wrt x.\nAnswer: -120*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from ffqdfdffqd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 250 a factor of 111571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of -w**4\/6 - 29*w**3\/6 + 19*w**2. Let f be z(-10). Suppose -f*l + 14*l = 6. What is the least common multiple of l and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-6 + 4)*(-10)\/(-5415). Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -37*o - 18. Is p(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 961 and 10075.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -49600000 to the nearest one million.\nAnswer: -50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/9369 and -17\/453?\nAnswer: 1414719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*p**4 - 8*p**3 + 2*p**2 + 8*p.\nAnswer: -2*p*(p - 1)*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 7:25 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s - 2*k - 2, 3*s - 6 = -k - 7 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 6:16 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/2)\/(1285\/1542).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 30*y**3 + 2*y + 1. Let f be p(-1). Let w = f - -45. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12\/(5 + -11) - -7. Suppose 3*u - 4*g + 7 = 0, 2*g - 38 = -5*u - 15. Solve -12 = f*k + u for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 368171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.31 - -0.24. Let v = r - -0.17. Let p = v + 0. Put -4\/3, -2\/19, p in descending order.\nAnswer: p, -2\/19, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (957\/(-31581))\/(18\/330).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4222 is divided by 177.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of 1\/60*t**5 + 15*t**2 + 0*t + 4\/3*t**3 + 0 - 5\/24*t**4. What are the prime factors of h(9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 5 = 4. Suppose 3 = -3*c + 3*f, c + 3*f + 5 - 24 = 0. Suppose c*b = 6*b - 4. Is l at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -231 + 239. Solve 0 = -4*p, t + 3*p - 3 = q*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jmm when three letters picked without replacement from {m: 2, j: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31040043 (base 5) to base 4.\nAnswer: -331221223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 899140.7 hours to microseconds.\nAnswer: 3236906520000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 6*b - 2*b + 5764, -4*f - 3*b + 5743 = 0. What are the prime factors of f?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 10*r - 1. Let k be n(1). Suppose -3*x = -p + k, x = -5 - 0. Let d be ((-8)\/p)\/((-8)\/(-18)). Solve -u + 16 = d*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 + 6 = 5*c. Find the common denominator of 95\/64 and c\/14 - (-39215)\/3850.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0423 - -4.0223. Let b = -3.24 + w. Round b to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -34*j. Let s be b(-2). What is the highest common factor of s and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-10)*x**5*(x**(-4))**(1\/5) assuming x is positive.\nAnswer: x**(-29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/14 of a week?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15 in 0.2, 5, -91, -57?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 7366*s**2 + 2 - 22969*s**2 + 7607*s**2 + 7065*s**2.\nAnswer: -931*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -218\/3 + 437\/6. Let o(s) be the second derivative of -p*s**3 + 2*s + 0 + 0*s**2. Let l(v) = -3*v. Calculate l(o(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3751, 7502, 11253, 15004, 18755, 22506?\nAnswer: 26257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2142040?\nAnswer: 2, 5, 53551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4706260954 to the power of 1\/5, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 29 - (6 - -26) - (-2 + 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3655\/4 - -3657\/4. Let x be (0 - -1)*2\/6. Sort j, 1\/5, x, 38\/3 in ascending order.\nAnswer: 1\/5, x, j, 38\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -5*w + 148. Let j be i(28). Let s(g) = 3*g**3 - 19*g**2 + 13*g - 10. What are the prime factors of s(j)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -831.4 - -819.4. What is the closest to -0.11 in -4, 3, w, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.21 + -0.34. Let g = -0.12982 - j. Round g to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l = 4, -10*l - 5 = 3*n - 6*l for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 101 + ((-6)\/2)\/3. Suppose 3*r = 8*r - a. Suppose 0*g - 4*g = r. Put g, -4, -1 in descending order.\nAnswer: -1, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j. Let i be x(0). Let d be 3 + -1 + i + -2. Suppose d = 3*o - 5*o + 20. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 91*y**4 - 2048*y**3 - 1589733 with respect to y.\nAnswer: 364*y**3 - 6144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1005408 divided by -288?\nAnswer: -3491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 44354454609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 75\/1148092 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*v**3 + 2*v - v - 7*v**4 + 4*v**2 - 27 + 0*v + 27 in the form i*v**2 + p + z*v + x*v**4 + l*v**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(7\/6)\/r**(1\/10)*(r\/(r\/r**(-2\/9)))**(-2\/11) assuming r is positive.\nAnswer: r**(548\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3061 + -2865. Solve -199 + q = 3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, b: 4, u: 4, x: 1, v: 1, f: 1}. What is prob of picking 1 b and 1 f?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 2014 and 15\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3916 + 3936. Sort 2, -4, b in increasing order.\nAnswer: -4, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.9999997 - -3. Round m to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/104 and -25\/88.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 2 = 22. Solve -19 = -f*v - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cccm when four letters picked without replacement from {m: 4, c: 15}?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 98228.0489 - 98236. Let s = -0.0289 + x. Round s to zero decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 118274985?\nAnswer: 3, 5, 292037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o and 1 u when three letters picked without replacement from uoououuuoo?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -y**3 + 219141*y**2 - 310*y + 550691173.\nAnswer: -3*y**2 + 438282*y - 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-34) - 48872\/697. Put g, -3, -5 in decreasing order.\nAnswer: -3, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*k**3 - 6*k**4 - 7*k**3 + 29 - k**4 + 2*k**4 - 2*k**4 + (0*k - k**4 + 0*k)*(1 + 5 - 5) to the form o*k + l*k**4 + x + a*k**2 + m*k**3 and give x.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*j + 1 + 84 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the first derivative of 0*f**4 + 0*f**2 - 18*f - 12 + 3\/5*f**5 + f**3. What is the first derivative of i(h) wrt h?\nAnswer: 12*h**3 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -7*y - 40. Let a(s) = 4*s**2 + 5*s + 10. Let t be a(4). Suppose 5*i + t = 109. Put 1, y, i in descending order.\nAnswer: i, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 - 50*l + 548. Let g be w(33). Put -1, g, -2, 5, 1 in descending order.\nAnswer: 5, 1, -1, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -3*b**2 + 618*b - 31827 = 0.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = f + 4. Let u be s(2). Suppose u*w - 1 = 17. Suppose 0 = -4*r, -r = -w*a + 16016 - 159716. Round a to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13322131 + 1133?\nAnswer: 13323330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 947119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**2 - 7*j - 6. Give i(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 17492\/7 < 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 56142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (129 + 34 + 74)*(-9 + 9 - 2*b).\nAnswer: -474*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 247935886.\nAnswer: 2, 11, 73, 263, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) -0.2  (b) 2.5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 - (-12 - -2)) + 660\/(-99). Which is the nearest to 0?  (a) 5  (b) -1  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n**2 + n - 1. Let d be y(1). Let a be (14\/3)\/(d\/9). Suppose 0 = -2*q - q + 126. What is the greatest common factor of q and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) -1\/154827  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -12.08, 0 in descending order.\nAnswer: 0.3, 0, -12.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11714694676117\/9144 - -1281134581. Let t = j + 2\/1143. What is the common denominator of (-5 - -5) + 97\/(-14) and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -s - 4. Let b = -10.06 - -5.06. Put b, -2\/17, s in increasing order.\nAnswer: b, -2\/17, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the third derivative of d**6\/120 + 17*d**5\/60 + 3*d**4\/4 + 5*d**3 + 941*d**2. Give s(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l + 4 - 2. Suppose -l = 4*u - 5. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 28, 59, 118, 211, 344, 523, 754, 1043?\n\"Answer: r**3 + 8*r**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -0*r - 4. Calculate the remainder when 131\/7 - 4\/(-14) is divided by (-1)\/(-2)*r*20.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 9\/7291075 or 0?\nAnswer: 9\/7291075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/2)*k)\/(k*k**(-2\/13))*(k*k**(-1\/5))\/k**(-2\/11)*((k*(k*k*k**2)\/k)**(-7\/5))**2 assuming k is positive.\nAnswer: k**(-15107\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -501 + 92 = 29*t + 113 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 847501*l**3*x**3 + 203729*x**3 + 2*x**2 with respect to l.\nAnswer: 2542503*l**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11252 and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -128*k - 117 - 126*k + 250*k + 113. Let s(t) = -20*t + 2. Determine n(s(c)).\nAnswer: 80*c - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 199 smaller than 199?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/3  (b) -1\/4  (c) -262.3  (d) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 29616.37 millennia?\nAnswer: 2961637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k**2 + 18*k + 30. Let d be x(-19). What is the highest common factor of 1078 and d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*g - 4, 5*x - 10764*g = -10768*g - 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 119 - -374. Is a a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8910019533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11 - (-16 + 11)) + 0 + -20.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7728 by -13.\nAnswer: 7728\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -18.7 - 61502\nAnswer: -61520.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -85 - -82. Let f(o) = -3*o**3 + 2*o**2 - o. Let r(d) = 8*d**3 - 6*d**2 + 3*d. Let t(p) = -11*f(p) - 4*r(p). Determine t(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.103 or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 8. Suppose -3*c + 2 = 2*j, -5*c - j = -0*c - 15. Suppose -b = -c*b + 27. Solve -s*q + 0 = b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 2 = -3*t. Solve 0*i = -3*m - i + 14, -m - t*i + 12 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -549, -3807, -12637, -29823, -58149, -100399, -159357, -237807?\nAnswer: -338533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 423 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n**4\/4 - 5968307*n**3\/2 - 913351062318*n**2 - 186364506737330693*n\/2 - 28671440957202763\/4 = 0. What is n?\nAnswer: -306067, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 + (-6)\/(((-63)\/(-6))\/(-7)). Suppose -2*b + 4*o = -1488, -2*b - n*o = -o - 1495. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3387 + 3436. Calculate the remainder when 181 is divided by m.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 + 19666614.\nAnswer: 19666613.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1735206*c**5 + 2*c**2 - 27*c + 38113.\nAnswer: 104112360*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*g**3 + 1\/9*g**4 + 29\/9*g**2 + 0 + 2*g.\nAnswer: g*(g + 1)*(g + 2)*(g + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1130 - -886. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -26 + 56. Let f be 16\/6*n\/20. Suppose 5*v = 0, 2*p + 4*v - 3*v = 2. Solve 0*k = k - p, 0 = 5*i + f*k - 29 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 17*q**3 - 2*q**2 + 2*q - 1. Suppose 109*g = 110*g - 1. Calculate x(g).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -982 - -898. Let f = -0.081 - -0.581. What is the second smallest value in f, y, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1580719885 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 0 + -2476716?\nAnswer: -2476716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + o)*((52 + 48 + 60)*(-3 + 1 + 1) + 4 - 2 - 5) to the form w + c*o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 9*h - 458 + 395 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0\/(-1 + -1))\/(-1 - 1). Suppose -5*r + k + 18 = 0, k + 4*k - 10 = j. Round r to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 141, 4, -42, -1903 in descending order.\nAnswer: 141, 4, -42, -1903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5\/2  (b) -324  (c) 5\/6  (d) -4  (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1 - -3) + 0*(-1)\/(-2). Solve 3*n - m*r + 11 = 0, 0 = 3*n - 2*r + r - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -3  (b) 0  (c) 2\/9  (d) 492  (e) 2056\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 223, 425, 611, 781, 935, 1073, 1195?\n\"Answer: -8*y**2 + 226*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2*d**2 - d**2 + d**2)*(-2*d - 3*d + 6*d) + (44*d**2 - 45*d**2 + 67*d**2)*(-4*d + 2*d + d))*(127 + 4*d - 127).\nAnswer: -272*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -446, -569, -662, -725, -758, -761?\nAnswer: -734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q - 77*q**3 + q + 54*q**3.\nAnswer: -23*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*b**4 - 6*b**4 + 19*b - 24*b + (3*b**3 + 2*b**3 - 4*b**3)*(-2*b + 0*b - b) - b**4 + 5*b**4 - 5*b**4.\nAnswer: -6*b**4 - 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 190*a - 17 = -187*a, o = 2*a + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**3 - 12*v**2 - 6*v + 20.\nAnswer: -2*(v - 1)*(v + 2)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 0 + 10 = 0. Let b(o) = -o - 9*o**2 - 4*o**3 + 6*o**2 + 4*o**2 + o**3 + 5*o**3. Give b(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 + 8*z**2 + 2*z + 17. Let d be x(-6). Suppose -t = -45 - d. Is 17 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s - 1. Let o be z(2). Let u = 4951.96 + -4952. Which is the third biggest value?  (a) o  (b) -2\/11  (c) u  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*z - 88 + 64. Solve 2*w = 2*i, 2*i = -z*i + 3*w + 10 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of j**3\/6 - 2*j**2 + 91*j + 2. What is v(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/(-8))\/(1\/(-5386)). Let i = g + 654. Let s = 9277 - 74119\/8. Find the common denominator of i and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u. Let d be h(-5). Let c(a) = a + 12. Let p be c(d). Suppose 0 = -f + 4, -b + p*f = -f + 12. Solve b = -3*v, -5*v - 5 = -2*j - 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 25\/2 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49*r - 11 = 46*r + 5*q, -5*q = 20. What is the fourth biggest value in 3, r, 2, 0.012?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3014 is divided by 3004.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, -0.0162, -382, 0.012?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1860, -3650, -5440, -7230, -9020?\n\"Answer: -1790*z - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 20 + -90. Let w be (-30)\/k - 490622\/504. Let s = w - -3871\/4. What is the common denominator of 71\/12 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 449 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -14, 65, 142, 217, 290, 361?\n\"Answer: -c**2 + 82*c - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4065, -4366, -4659, -4944, -5221, -5490, -5751?\n\"Answer: 4*q**2 - 313*q - 3756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*g**3 - 4*g**3 + 4*g**3 + (3*g - 2*g + 0*g)*(3*g - 2*g**2 - 3*g) - g**2 - 3*g**3 + g**2)*(0 - 3 + 5).\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 84721 and 1330?\nAnswer: 847210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 227, 209, 179, 131, 59, -43, -181?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3\/23064718 or -1?\nAnswer: -3\/23064718","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 - 9*l - 4. Suppose 39 = 4*y + 3*f, -3 = -2*f - f. Let r be v(y). Let g = 33 - r. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) be the second derivative of -5\/12*x**4 + 19 + 0*x**2 + 0*x**3 + 2*x. Let s(k) = -12*k. Give s(r(m)).\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 g, 1 v, and 1 j when four letters picked without replacement from bjuuvhbgh.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.28 - 80.72. Let m(p) = 3484*p + 34840. Let s be m(-10). Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 238 + 34. Suppose -3*i + 6*i - a = -t, -2*i + 188 = -t. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -44\/2961 and 83\/2?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**2 + 13. Let h be d(0). Suppose 3*k + 4*x = 16, -5*k - 92*x + 40 = -88*x. Is h at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x**2 - 16*x + 4. Let l be y(0). Solve 12*p - 16 = 8*p + l*a, 0 = -p + 3*a + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 760079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -16575, -1362, 13841, 29028, 44193, 59330, 74433, 89496?\n\"Answer: -t**3 + t**2 + 15217*t - 31792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l**2\/7 - 969*l\/7 - 2880\/7 = 0. Calculate l.\nAnswer: -320, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, c: 2, u: 2, v: 1}. What is prob of sequence cucu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16876675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Are 1\/855825 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 3 + 3)*(-3 - 1 + 2) - 4 + 2 + 3)*(-2*n + 0*n + 3*n) + 7*n + 4*n - n.\nAnswer: 15*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 6*w**2 - 5*w + 4. Let y be d(-5). Suppose 2*m - 2*z - 15 = 1, -y*m + 2 = 2*z. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -69*b**3 - 7*b**2 + 7*b - 14. Let h be y(-18). What is h rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -8243, -16481, -24719, -32957?\n\"Answer: -8238*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.04 in -0.2, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(2\/13)*q*q)\/q**(-3\/2)*(q**(-1\/4))**(-36))**41 assuming q is positive.\nAnswer: q**(13489\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, b: 5, e: 10, u: 1, v: 1, f: 1}. What is prob of sequence fbv?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - j + 0*j - 5*j + j - 8. Let f = -6 + 12. Let l be u(f). What is the biggest value in l, 3, 2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -72 divided by 16?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1648 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z - 3. Let l be 14\/(-35) - (-22)\/5. Suppose -5*c - l = 1. Let x(d) = 1. Give c*t(n) - 4*x(n).\nAnswer: -n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -3 + sqrt(2299) + (-3 + sqrt(2299))*-2)**2 + (4*(((0 + sqrt(2299))**2 - sqrt(2299)) + sqrt(2299) - sqrt(2299)) + -3)*-3 + 3.\nAnswer: -25252 + 22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-6)*159 + 4. Let z = -108 + q. Solve z*n + 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1115999*f**3*k**3 - f**3*k - 4146*f**2*k**3 - 4*f**2*k**2 + f*k**3 - 3 wrt f.\nAnswer: -6695994*k**3 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-66)\/23 + (-1299)\/9959?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13095 is divided by 1636.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 4 - 1)*(8*w + 0*w - 4*w)*(-19041*w**2 + 405 + 510 - 915) to the form u*w**2 + f*w + r + g*w**3 and give g.\nAnswer: 152328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -152254, -304503, -456752, -609001, -761250?\n\"Answer: -152249*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 = 11*o - 6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = t + 6*u, -4*t = t + 2*u + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in n**2 + 0 + 34*n + 1 + n**3 - 2 - 244*n.\nAnswer: n**3 + n**2 - 210*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (182 - 360 + 173 - 123*p)*(-4 + 1 + 2).\nAnswer: 123*p + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*b + 4*b - 5*b - 5*b - 10*b + 6*b + (5*b + 2*b - 5*b)*(-1 + 1 - 2) + 2*b + 0*b - 4*b + 1 - b - 1)*((-6 + 3 + 2)*(-7*b - 88 + 88) - 3 + 3 - b).\nAnswer: -150*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - 5*y + 20 = 0, -3*y = 5*m - 35 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -24. Let l = -16 - n. Let h = l - -26. What is the biggest value in -1\/6, -3, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20892*a**4 + a**3 - 177649?\nAnswer: -83568*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/15, 1\/5, 3, 1\/33, -6\/13, 254 in decreasing order.\nAnswer: 254, 3, 1\/5, 2\/15, 1\/33, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4631354624?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t + t + 21 = 0. Let w be (-17)\/t + 4\/(-6). Solve -w*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7922*s**5 + 12341*s?\nAnswer: -158440*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -2 + (-6 - (-9 - 1)). Suppose -x = 3*t - d, 14 = 4*x + 2*t - 4. Solve x*a = -33 + 8 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 2*g - 24. Solve 2 = 5*j + 4*d, 0 = -d - d - g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 14, 3, 1.6, 2\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.5, -5\/2, -7.6, 0.65, 12\/29?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1012493 = -43*p - 17*p - 282773. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-2 - 1 + 2)*(3 - 6 + 4) + 4 - 2 + 0 - 1 - 5 + 5 + 13 + 2 + 19)*(2*m**4 - m**4 + 0*m**4).\nAnswer: 34*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2011 + -100111?\nAnswer: -102122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -758.62 to 0 decimal places.\nAnswer: -759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -8129.\nAnswer: 2\/8129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1334383896?\nAnswer: 2, 3, 487, 114167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = b + 22 - 43 + 29. Let p be (-1)\/1*0*(-5)\/25. Let x(f) = -6*f - 6. Let t be x(p). Calculate v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 AM and 5:56 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2237?\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + v**4 + 3 + (2*v + 4*v - 4*v)*(-35*v**3 + 7*v**3 - 3*v**3))*(-21*v + 9*v + 10*v).\nAnswer: 122*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 50*u**3 - 155*u**2 + 160*u - 85. Let x(g) = 7*g**3 - 22*g**2 + 23*g - 12. Let n(t) = 2*w(t) - 15*x(t). Determine y, given that n(y) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(3600)*1)\/((sqrt(108)\/sqrt(3))\/sqrt(3) + sqrt(108)*-6) + -3)**2 + 2.\nAnswer: 240*sqrt(3)\/17 + 7979\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -27\/2, -10, 1\/1218?\nAnswer: 1\/1218","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.128 in -17, -12\/11, 2, -0.1, 3, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 4*y + 8 - 6.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(29\/((-928)\/(-1584)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 9.47  (b) 1.42  (c) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, 5, 9, -2.\nAnswer: -5, -2, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**3 + 11*h**2 + 11*h + 13. Let d be o(-10). Find the second derivative of -k**3 - k + 0*k**d + 0*k + 4*k wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from {u: 1, c: 10, w: 1, h: 3, p: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 1:18 PM?\nAnswer: 3:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-x + 0 + 0)*(2*x + 8*x - x) + 10 + 2*x**2 - 10)*(9*x - 3 + 3).\nAnswer: -63*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + 100101110110?\nAnswer: 100101110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 25 = 8*u. Let b(h) = -4*h + 6. Determine b(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*p = -881*p - 8250 - 12602 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 3*u + 9. Let d(c) = 13*c + 35. Let w(q) = 2*d(q) - 9*m(q). Let z be w(-6). Let h(n) = -n**3 - 4*n**2 + 4*n + 2. Is h(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33432?\nAnswer: 2, 3, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**2 + 5*h - 3. Let l be y(-6). What is the first derivative of -54*n**l - 53 - 38 - n**2 + 42*n**3 - 36 wrt n?\nAnswer: -36*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {e: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -38, -4, -6, 12 in increasing order.\nAnswer: -38, -6, -4, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-6))\/((-4)\/(-8)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -19*u + 148. What is v(8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 7:38 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - ((-10 - -1) + -8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 776 = q + 4*m + 62, 4*q - 5*m - 2898 = 0. What is the greatest common divisor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.7 times -6\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.3, -3\/4, -0.9, -2.79?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.9 - -16.9. Let j = m + -10. Let n be 2 - (-1)\/(15\/(-32)). Which is the biggest value?  (a) -5  (b) n  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.52074 + 0.4335. Let p = m - -2.75414. Let l = p + -2.68. What is l rounded to three dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-46*92\/(-11638))\/((-5)\/(-550))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/4)\/(2\/(-12)). Suppose -5*z = -3*z + 2*r - 24, -3*r - 28 = -5*z. Let y = z - p. What is the greatest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sxd when three letters picked without replacement from asxdxxadxa.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1245 = -155*r - 299 + 604 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/4 + (-5)\/(-5). Which is the closest to 0.1?  (a) -1  (b) y  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -6  (b) 0  (c) 1.2  (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3.892 + 0.108. Let q = -0.11 - -3.11. Which is the nearest to -5?  (a) q  (b) s  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 54645.89 millennia?\nAnswer: 5464589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.306 + -19.406. Which is the closest to 1\/3?  (a) m  (b) -1\/4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/(-10)*925\/111. Solve r*l = 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 0, 7, 14?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v - 6 + 19. Let q = 35 - v. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -3*g**3 - g**2 - 14. Let f(a) = -26*a**3 + 8*a**2 - a - 133. Give -f(i) + 9*y(i).\nAnswer: -i**3 - 17*i**2 + i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -172 - 8*m**2 - 163 + 8*m**2 - 11*m**3 + 316.\nAnswer: -11*m**3 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmm. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 6*r = -11*r + 16, -t - r + 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1709*u + 48 = 1701*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3*sqrt(78) + sqrt(78))*5 - ((-3*sqrt(78) - sqrt(78))*-1 + sqrt(78) - sqrt(78)))\/(-6*(sqrt(384)*-2 + sqrt(384))*-2).\nAnswer: 7*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*c - 5*w - 0*w, w = 0. Suppose -3*j - c = 3*r + 4, -40 = -5*r + 5*j. What is the units digit of 1 + r*12 - -1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24022018 to the power of 1\/2, to the nearest integer?\nAnswer: 4901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -12, -1, 19\/12, -3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 5*s - 8 = 16, 64 = q - 5*s. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -347347743 divided by -2\nAnswer: 347347743\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 328630*a - 1643146. Determine j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - x = -o - 247, 0 = 5*x - o - 309. Let k = x + -55. Solve -4*q = 5*a - k, -5*q + 8 = -7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - -1. Suppose -s + 3 = -i*s. Let g(q) = -4*q**2 - 2*q - 2. Let h(w) be the third derivative of w**5\/60 + w**2. Calculate s*g(c) - 5*h(c).\nAnswer: -c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Do -56040\/7 and -3\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 8387453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-2*(sqrt(1539)*-3 + -5))**2 - (-5 + -1*sqrt(1539) + (-4 + (sqrt(1539) - sqrt(1539)*-1) - sqrt(1539)) + sqrt(1539))**2).\nAnswer: 1242*sqrt(19) + 53884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 331747250 to the nearest integer?\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 566*d**4 - 70*d + 26*d + 21*d + d**5 + 22*d - 9*d**2 wrt d.\nAnswer: 60*d**2 + 13584*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -2\/5  (b) -0.5  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -5*r + 40, 2*g + 0*g = -r + 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 4*t + 24 = 12, -3*s - 39 = -3*t. Sort s, 6, 3, -1.\nAnswer: s, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -k**4*x - 37*k**4 + 1385*k**3*x - 34*k**3 + 32*k**2*x + 981*k**2 - 2*k + 2*x + 19 wrt k.\nAnswer: -24*k*x - 888*k + 8310*x - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 - 5.02. Let p = 5.4665 + -0.4665. Sort p, 9, 0.5, j.\nAnswer: j, 0.5, p, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -bdd3 (base 15) in base 14?\nAnswer: -1094c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 4)*(t - 7*t + 0*t + (-4 + 4 - 1)*(-2 + t + 2)).\nAnswer: 14*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-3)*10*(-1)\/((-16)\/24)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dssiluki. Give prob of picking 1 k and 2 s.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 51 divide 283966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 4*s - 8 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1240\/1 - (148 + -127)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 302*l**3*r**2 - 465*l**3*r + l**3 + 706*l*r**3 + 2*r - 3374 wrt r.\nAnswer: 604*l**3 + 4236*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of -t**5\/20 + t**4\/3 - t**3\/6 - 3*t**2\/2 - t. Let v be m(3). Solve 0 = 4*f - v*f + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -36.39 times 18330\nAnswer: -667028.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*8*(-1798)\/(-248)*(-9)\/(-12).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**2 + 2*s**2 - 2*s**2)*(s + s - 3*s) + (-s + s + s)*(s**2 + s**2 - 6*s**2).\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25.3 - -24. Let s = y + -2.5. Round s to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -1\/9  (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 - 53*c + 30. Let v be j(18). Let w = v + 601. Is 2\/123 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 366*h - 136*h - 230*h + h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**3 - 8*j**2 + 12*j - 14. Let z be l(-11). Let k = z + -121. Does 48 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55181*t**2 + 18369*t**2 + 18391*t**2 + 18376*t**2.\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -260118000 divided by 27.\nAnswer: -9634000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0683695 rounded to 3 decimal places?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 4, -169, 1, 2.\nAnswer: -169, -4, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15108*y**2 + 840 wrt y.\nAnswer: 30216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -12*r - 17*r**2 - 17*r**2 + 58*r**2 - 22*r**2. Let q(j) = -17*j**2. Calculate c(q(w)).\nAnswer: 578*w**4 + 204*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.876569475 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 PM and 4:43 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 9722 and 81406?\nAnswer: 395714566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(117) + (-2 + sqrt(117))**2*6 + sqrt(117) + 0.\nAnswer: -66*sqrt(13) + 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4*(-7)\/(140\/25). Let k(f) be the first derivative of 0*f**4 - f**3 + 0*f**2 + 1 + 0*f - 2\/5*f**j. What is the third derivative of k(u) wrt u?\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = -g**2. Let r be (-6 - -5)*3*16\/(-6). Let a(k) = 11*k**2 - 8*k. Let w(i) = -4*i**2 + 3*i. Let d(h) = r*w(h) + 3*a(h). What is -3*d(b) - 4*u(b)?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 0.3  (b) 110\/13  (c) 2  (d) 1  (e) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.3 * -229.395\nAnswer: 68.8185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 22679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -88.2 + 88. Let z be 2\/4 - (-7)\/(-4). Put a, -2\/11, z in decreasing order.\nAnswer: -2\/11, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of -p**3\/3 + 3. Let i(x) = 10*x. Calculate i(n(h)).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -2*k**3 + 7*k**2\/2 - 6*k - 4. Let y be j(4). Let i = 125 + y. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h. Let a be p(-5). Suppose 2*q - 5 = -u, q - 5 = -3*u + a. Find the first derivative of -2*v**u + 2*v**3 - 3*v**3 - 1 wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16792577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 605122 - 176647 = 25*o. Is (-112)\/140 - o\/(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46759321.\nAnswer: 7, 107, 163, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -117000 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of -s**3\/3 + 8*s**2 + 5*s - 59. Determine r(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 3497 = -3*l, 520*q - 523*q + 4*l = -10569. What is the greatest common factor of 190 and q?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28301.7 seconds to minutes.\nAnswer: 471.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 2*v = 16, 10 = 2*s + v - 0. Which is the closest to 4?  (a) s  (b) -1  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27694, 27713, 27742, 27781, 27830, 27889?\nAnswer: 27958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000003239 to seven decimal places.\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5150 = 19*t - 9*t. Suppose 2*k - 6*k - 5*r - t = 0, -4*k = -3*r + 555. Let l = 141 + k. Calculate the smallest common multiple of l and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 less than 0.0899?\nAnswer: 3.0899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 1353*x**2. Let i(o) = -7*o**2. Determine z(i(j)).\nAnswer: 66297*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -469386 or -17367270\/37?\nAnswer: -17367270\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 - ((-180)\/(-16) - 5 - 3). What is the biggest value in 32\/11, -1\/3, u?\nAnswer: 32\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3597 is divided by 449.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 29*a + 5754 - 5232 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 290, 578, 866, 1154?\nAnswer: 1442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -361 and -62828.\nAnswer: 22680908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*n + 18*n**3 + 3*n**5 - 7 - 19*n**3 - 5*n + 2*n wrt n?\nAnswer: 60*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 429 - 93 = 42*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 50*p - 1. Let w be u(5). Does 10 divide w\/6 - 6\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 615297 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3237023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -55.8 + 51.8. Sort j, 2\/9, 16, -2\/13 in ascending order.\nAnswer: j, -2\/13, 2\/9, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of -11*l**2 + 1\/3*l**3 + 0*l + 1\/60*l**6 + 0 + 1\/24*l**4 + 1\/60*l**5. Give i(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -12*l**5 - 20*l**3 - 24*l - 20. Let v(o) = o**5 + o**3 + o + 1. Let p(y) = t(y) + 20*v(y). What is the second derivative of p(s) wrt s?\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -117 + 171 + (2 - 1) + -1 + 2 + -8.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -19*t**4 + 4504*t**3 - 1167028*t**2 - 3?\nAnswer: -456*t + 27024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 - 2)*(0 + 0 + 5*m**3) - 202*m**3 + 876*m**3 + 727*m**3 as k + s*m**3 + n*m**2 + a*m and give s.\nAnswer: 1396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - (2 + 11) - -6) + -23?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (0 - (-7 - -52)) - (3 - 7 - 0)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 - (-232)\/24 - (-1 + (-128)\/(-156))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4 and 266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 14, -602, -7, -0.4, 129, -5?\nAnswer: -602","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + i = 0. Suppose n - 6*n + 27 = -2*f, 3*n - 4*f - 19 = i. Solve 21 - n = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 5*f = -2*r + 1956, 2445 = 5*r - 4*f. Suppose -5*j = -c + r, -2*j = -3*j + 1. Suppose -252 = -w + i, -4*i = -3*w + w + c. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -169 + 169. Solve j = 4*k + 7*k - 55 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -191 = -2*m - 41. 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 m be 5 + -1 - 7\/(189\/114). Let r = 2.4 + 0.6. Let u be (6\/(-20))\/((-6)\/5). What is the nearest to r in m, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46665\/8235*-2*3.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 172.4743 tonnes?\nAnswer: 172474300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 107563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-9)\/(-3) - 1) + -6. Suppose a - 17 = -3*n, -4*a - 8*n + 8 = -11*n. Sort a, 3, -3, z.\nAnswer: z, -3, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 302320, 302221, 302122, 302023, 301924?\nAnswer: 301825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 40442.656 rounded to the nearest ten?\nAnswer: 40440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*s + 28672 = 5*s + 13*s. What is the greatest common factor of 56 and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-1 + 4)) + (4 - 20) + 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - 3)*15\/(-25). Let y = -31\/20 + a. Let f be 6\/(-12) - 5\/(-18). Put y, 0.1, f in ascending order.\nAnswer: f, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-3)\/9)\/((-1)\/36). Let n be (k\/9)\/(7\/3622500). Round n to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -14*n**3\/3 - 298*n**2\/3 - 616*n\/3 - 152\/3 = 0.\nAnswer: -19, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = w**2 - 5*w - 3. Let x(p) = 3*p**2 - 14*p - 8. Let n = -8 + 8. Suppose n = g - 1 - 2. Give g*x(d) - 8*v(d).\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4564621 to the nearest integer?\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 PM and 5:19 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/5)*q\/(((q\/(q\/(q\/(q\/(q**(-1\/2)*q)))))\/q)\/q*q))\/((q*q**(-3)*q)\/(q\/(q**7*q))))\/(q\/(q\/q**3)*q\/(q**(-1\/4)\/q)*(q**0)**43) assuming q is positive.\nAnswer: q**(-203\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (56055\/(-27))\/(-5) - (-2)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 2749*t - 1328. What is the units digit of n(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 5*o + 190. Let m be l(-38). Suppose 4*s + 8 - 24 = m. Put 0, -3, 3, s in increasing order.\nAnswer: -3, 0, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y\/(y\/y**(-1\/18)*y))\/y)**(-6\/7)*(y*y**5*y)\/(y**12*y*y))**29 assuming y is positive.\nAnswer: y**(-3190\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (-36)\/96 - 41078\/(-16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.0589126nm?\nAnswer: 0.0000589126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.7 + -2.1. Which is the nearest to -1?  (a) -2  (b) r  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wrf when three letters picked without replacement from mrfrwwwwwfrzwwwrw.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0, 1, -12401, 7.6, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -40276 (base 11) to base 3\nAnswer: -2222210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.12, -0.4, -32918, -5 in descending order.\nAnswer: -0.12, -0.4, -5, -32918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u**3 - 215*u**2 = 0. What is u?\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -203 - -198. Put u, -2, 9, -1 in ascending order.\nAnswer: u, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2732161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 5*h**3 - 2*h**2 - 2*h + 2. What is g(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n = -7*g + 9*g - 18, 5*g = -5*n + 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 65, 6, -4 in increasing order.\nAnswer: -4, 6, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (93\/(-2))\/((-2)\/8) - -2?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a, 0*g - 2*a = -g - 5. Sort 1\/4, 1\/6, -1\/38, g in descending order.\nAnswer: 1\/4, 1\/6, -1\/38, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = v - 1. Let b(g) be the third derivative of g**4\/8 - g**2. Let c be b(v). Solve -3*m + 6*m = -c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.04 - -0.74. Which is the closest to 0.2?  (a) h  (b) 3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (124*q + 15*q + 186*q)*(-3 + 1 + 2*q + 3) to the form u*q + g*q**2 + y and give g.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6.81 - -441.81. Let s = i + -432. Which is bigger: 30 or s?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 40 + 2*m**2 - 52 - 3*m**2 - 14*m. Suppose c - 5 = 0, 2*t + 62 = -2*t + 2*c. Let h be n(t). What is the biggest value in 0, h, -1\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*z - 28 = 102 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 + -16. Suppose -3*r**2 + 4*r**d - r**2 - 3*r - r + 2*r**4 + 2*r**4 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 14 = r. Let p be ((-79)\/(-2))\/((-12)\/(-24)). Suppose 4*k - a = p, -a - 56 = -3*k + 3. Calculate the remainder when k is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3749*b + 180484 + 111938 = 0 for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 3122*n - 764889. Give m(245).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*d + 3*d + 2*d + (-d - 1 + 1)*(-2 - 2 + 0))*(2975 + 2849 + 646 - 2077) in the form m*d + f and give m.\nAnswer: 21965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-29 + 29 + 25*k)*(0 - 1 - 2) - 4*k - 18 + 18)*(-3 + 3*k**2 + 3).\nAnswer: -237*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 4 + 3478?\nAnswer: 3480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 24, 43, 80, 135, 208, 299?\n\"Answer: 9*u**2 - 8*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 12 - (6 + (-13 - (1 - 7))) - 2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**3 - 4*k**2 + k - 2. Let y be q(4). Suppose 0*j = y*j + 4. Let n(a) = a**3 + a. Give n(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 324 divide 57200008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 581*u - 8866. List the prime factors of c(24).\nAnswer: 2, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 + -5. Suppose 0 = -u*x + 141 - 16. Calculate the remainder when 73 is divided by x.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + d - 1)*(-2*d**2 + 5*d**2 - d**2)*(18*d - 9 + 9) to o*d**3 + p*d**2 + y + w*d + f*d**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 12 = 2*w, 7*w = 4*g + 2*w - 26. Suppose 7*b - 2*u + 9 = 8*b, 4*u - 15 = -b. Suppose -g*a - 5*l = -6*l + 1, -3*l = b*a - 18. Is a < -2\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 163\/90 and -6*(8\/(-52) + 1502\/5200)?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -991 + 992 - 26*o + 5*o.\nAnswer: -21*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 1282, 5, -2 in descending order.\nAnswer: 1282, 5, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:46 PM and 7:56 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 52891?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2620759 is divided by 143?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.71 + 0.19. Let y = -0.5 + h. Which is the closest to 0.2?  (a) -0.4  (b) 5  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z - 2*z + z)*(0 + 9 + 13)*(53 - 434 - 457).\nAnswer: -36872*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 882632480.\nAnswer: 2, 5, 5516453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -4, 1\/2, 1269?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4901 - 4904. Let y = 4 - 6. What is the smallest value in f, -10\/33, y, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39 = -17*d + 18*d - 12*r, 4*r + 22 = d + 15 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -7 less than 920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a**2 + 1040*a - 14962. Determine w(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 5*u**2 + u - 2. Let w be (-3 + -1 - -6) + -3. Let p be w - ((-18)\/(-42) + (-17)\/7). Let x be c(p). Solve 25 = -x*q - q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2498*k**2 - 16*k + 4*k + 2495*k**2 to x*k + b*k**2 + l and give x.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m + 8. Suppose -3*p + 0*p + 29 = 5*s, -p = 4*s - 19. Let z be n(s). Solve 0 = q - z*q - 3*i + 11, -2*q + 22 = 5*i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 780 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1033914053 divided by -3.\nAnswer: -1033914053\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2 - 36\/(-6))*17 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 630*f - 630*f - 15868806*f**2.\nAnswer: -15868806*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000001959 rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 824477 rounded to the nearest 10000?\nAnswer: 820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*o - 35 = 18*o. Let l be (o*4\/(-60))\/((-2)\/(-1278)). Suppose z - l = 2*p, z = -4*p + 2*p + 197. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1844825 is divided by 1844811.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 178550 is divided by 76?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12804386?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 46*s**2 - 3*s - 2. List the prime factors of u(-3).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 5715384 and 84.\nAnswer: 40007688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -1 + (-4 - (-6 + 8))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 8*b - o = -28, 4*o - 16 = 0. Let c = 68 - 40. What is the remainder when c is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kfk when three letters picked without replacement from fkufffffffkfuff?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3  (b) 0.1  (c) -8.51\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -150 = 18*t - 23*t. Calculate the lowest common multiple of 21 and t.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 96960945 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 12:05 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-18)\/22 + 128\/22\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -8.8 and 2.1.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16943093?\nAnswer: 53, 319681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/7 or -480\/503?\nAnswer: -480\/503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 3328 + -3332. What is the third smallest value in j, -27, -2\/11, -2\/13?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -107614 and -3.3?\nAnswer: 355126.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-3)*b**23 assuming b is positive.\nAnswer: b**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2955605*2\nAnswer: -5911210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -37, 1, 4, 799, -3, -5 in descending order.\nAnswer: 799, 4, 1, -3, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 4*l = 0, 5*l + 36 - 26 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 210 and 16030?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, -51, -1.\nAnswer: -51, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 38\/(-8) + -4 + (-15)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 160787 is divided by 690.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = j - 19. Let k = 106 - j. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - 14 - (217 + -219)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14455 = -60*p + 629755. Calculate the highest common factor of p and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.3, 14\/29, -0.7, -0.5, -1\/4880?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34518 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = -12*b - 20. Give v(0).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -10420096, -20840194, -31260292, -41680390, -52100488?\nAnswer: -62520586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3271284806?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 43834087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 164798*p**2 + 9*p - 11050502 wrt p?\nAnswer: 329596*p + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 90397*d*s*t**2 - 14*s*t**2 - 1233*t**2 wrt d?\nAnswer: 90397*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -207 by -4041963.\nAnswer: 23\/449107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 4*s - 4. Let c be f(1). Solve -2*m = -3*m - q, -3*m - 4*q - 1 = c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -134 - -125. Let q(u) = -u**3 - 8*u**2 + 8*u + 4. Let s(o) = -5*o**3 - 32*o**2 + 31*o + 17. Let w(f) = y*q(f) + 2*s(f). Calculate w(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 267229.\nAnswer: 267229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35673 and 7366095.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from udqvuqll. Give prob of picking 2 l and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4172*q + 163737 = 136938 - 215177 for q.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.04, -2, -1726\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8084*c**2 + 16 + 45 - 16168*c**2 + 8082*c**2 - 61.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 79802900 divided by -9050.\nAnswer: -8818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 986753603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmfnmlmllmfmlllmfflm. Give prob of sequence mnff.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 - 3*d**2 - 4*d - 2. Let c be b(-3). Let t(k) = c*k**2 - k**3 - 7*k + 10 - 5 - 2*k**2. What is the units digit of t(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -50994, -101983, -152970, -203955, -254938, -305919?\nAnswer: -356898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j*j**7)*j)\/(j**(-4\/19)*j))\/(j**(-1\/3)\/(j*(j**(-5)\/j)\/j)) assuming j is positive.\nAnswer: j**(-710\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*y - 17 = 7. Suppose y*l - 15 = -2*l. Solve 3*z - 4*z + l = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -289*a**4 - 1542*a**3 + 8*a + 37255.\nAnswer: -3468*a**2 - 9252*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/8*39)\/(17\/(544\/(-24)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2)\/h)\/(h**(-2)\/h*h*h))**(12\/13) assuming h is positive.\nAnswer: h**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in -2\/9, -1\/10, -2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -157, -271, -401, -553, -733, -947, -1201?\n\"Answer: -r**3 - 2*r**2 - 101*r - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 75 and 4125?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -57*b + 56*b - 17467*b**2 - 73 + 17535*b**2 in the form q + p*b**2 + x*b and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25940 - 7228. Does 156 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2 + 971435*j + 11657364.\nAnswer: -(j - 971447)*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 4 + 65?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3060 - -1822. Let x = -321 - l. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2653 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.8 times 91?\nAnswer: 891.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 17, 36, 75, 140, 237, 372?\n\"Answer: i**3 + 4*i**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -25*d - 95 - 29*d + 96 to the form r + o*d and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 622540777 a multiple of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((30380\/(-147))\/(-31))\/(22\/6*2)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*l*o**5 - 9*l*o**2 - l - 567*o**4 + o**3 - 9*o**2 wrt o?\nAnswer: -240*l*o**2 - 13608*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 284322706 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = 528 + 80. Is (-15)\/5 + (0 - q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 1732 = -4*d + 7*v, -1298 = -3*d + 4*v. Let p be d\/30 + (-2)\/(-5). Suppose f + 6 - p = 0. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*x**3 - x**2 - 8*x**4 + 2 + 49*x**4 + 2*x**2 + 3*x**2 - 21*x**4 in the form p + i*x**2 + c*x**3 + w*x**4 + n*x and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a + 1. Let z(o) = -3*o + 25. Let h(b) = -4*t(b) + z(b). Let f be h(-9). Solve 8 = 4*q - f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*f**2\/7 + 22372*f + 34800\/7 = 0. What is f?\nAnswer: -8700, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.107 take away 0.04?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11 - 7. Suppose 0 = -z - 1 + k. Calculate the highest common divisor of 33 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44)\/sqrt(2))\/sqrt(2) + -3)*-1.\nAnswer: -sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -98*v. Let s(a) = 113*a - 34*a - 127*a. Determine o(s(w)).\nAnswer: 4704*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 (base 10) in base 5?\nAnswer: -131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 16*n = -45. Suppose -7 = -3*j - 4*l, n*j + 3 - 20 = l. Let x = 0.2 - 1.2. Sort -0.5, j, -1\/6, x.\nAnswer: x, -0.5, -1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 486*p - 962*p + 481*p - 5 + 5.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 - 16 = b. Let v = b + 58. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6290*z + 11858*z - 6033*z - 1 + 2 to d*z + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 290117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 - 11. Suppose -y = 4*m + 5. Let d(z) = -z**3 - z**2 + 1. Is d(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104\/(-27 - 5243\/(-196) - (10\/(-8) - 1))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 292531526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g\/g**0*g**(-4\/3))**(15\/8)\/(((g**0\/g)\/g**(-7))\/(g\/(g*g**0\/g*g*g))**(-2\/35)) assuming g is positive.\nAnswer: g**(-657\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1 - -3. Suppose 0*d - 60 = -15*d. Solve -a = -l*a - d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(4\/3)*a\/a**(2\/3))**(2\/9) assuming a is positive.\nAnswer: a**(10\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 37310468 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**2 + 1224*o + 1226. Calculate c(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 340\/(-17)*(-36)\/(-288)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 359*z - 22774. Give s(63).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(396) + -2 - (sqrt(495) - -4*sqrt(495) - sqrt(495))\/sqrt(5).\nAnswer: -6*sqrt(11) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*p**3 - 5*p**3 + p**3.\nAnswer: -25*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3938628 and 344832?\nAnswer: 5388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 318?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00071994 rounded to six dps?\nAnswer: 0.00072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*u**5 + 29*u**5 - 64*u**5 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k - 1. Let a(v) = 3*v - 1. Let b(i) = -a(i) + 2*d(i). Let y(g) = 3*g**2 - 4*g - 3. Let x(s) = 4*b(s) - y(s). What is the derivative of x(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*b - 2*w - 36 = 36*b, 5*b + 3*w - 12 = 0. Solve 7 = b*k - 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*u = -106 + 492 - 155 + 1401 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20947\/8 + -2629. Find the common denominator of i and (-1)\/3 - 31\/(-39).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/((-3)\/(-3)))\/((-70)\/28)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 20 = 5. Let s = 22 - w. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 PM and 1:28 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -40369*t - 17503 wrt t?\nAnswer: -40369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i**2 - 2*i**4 - 2*i**2)*(-503*i + 132*i + 1454*i) - 7*i - i**5 + 7*i.\nAnswer: -2167*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 PM and 10:26 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/2, -2\/19, 5, 217.9 in descending order.\nAnswer: 217.9, 5, -2\/19, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(931) - (-1 + sqrt(931))*-6 - (sqrt(931) + sqrt(931)*-1 + -2) - -4*(sqrt(931) - (sqrt(931) - 1*-1*sqrt(931)))*3)**2.\nAnswer: 280*sqrt(19) + 23291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 36 = -24. Solve 0 = 4*y - 4 - r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1979 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: Is 531163119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 1716068 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.2 + -0.8. Let u = p - -5. Let z = -1.2 - 3.8. Which is the closest to 2?  (a) z  (b) -4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 208\/3, -132, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/8 and -53\/1188?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -2*l + 20 - 14, 4*c - 12 = -4*l. Solve 0 = -7*n + l*n + 2*x - 2, n - 7 = -x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*z + 2 - 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 43201665 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/5  (b) 5  (c) 2\/13  (d) 2.17806\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ku when two letters picked without replacement from kykkuknbnu.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4 - (-3 - -2)) + (-12 - (19 - 21) - 36)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/5, 44.49, 1, -1, -163?\nAnswer: 44.49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.54 + -5112617386\nAnswer: -5112617386.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6733407 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 PM and 10:08 PM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4.5817 and -4.6.\nAnswer: -21.07582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -44030, -173750, -389952, -692636, -1081802, -1557450, -2119580?\nAnswer: -2768192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5744\/5 - (-49)\/245. Let q = -801 + j. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + -10077?\nAnswer: -10078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 929.3332 nanometers to meters.\nAnswer: 0.0000009293332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*q + 36 = 12*q. Let m(d) = d**2 + 8*d - 1. Let v be m(-7). Let c = q - v. Which is bigger: c or -9\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = -2*r - 3. Let z be (0 - -3)\/((-3)\/(-5)). Suppose -7*x + z*p = -2*x - 30, -28 = -5*x + 3*p. Which is greater: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.3, 6\/383, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, z: 2, b: 1, w: 2, r: 1}. What is prob of sequence rwc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/6)\/(y**(-2\/9)\/y)*(y**(-4)*y*y)\/(y\/y**0))\/((y**(1\/3))**0*y**(4\/5)*y\/y**(1\/4)) assuming y is positive.\nAnswer: y**(-629\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0.06481, -0.4, -9, -1 in decreasing order.\nAnswer: 1, 0.06481, -0.4, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 776823 and 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 22, -4, -4\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 143\/90 and 137\/158190.\nAnswer: 474570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:26 PM and 5:31 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of f**4 + 44*f**3 - 615*f**2 - f - 295135 wrt f?\nAnswer: 4*f**3 + 132*f**2 - 1230*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -248, -499, -756, -1019?\nAnswer: -1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 - 4\/(-8))*272\/160 - -6?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2296*a + 26 - a**2 - 28 - 2375*a to i*a**2 + d*a + y and give d.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 315409, 1261583, 2838533, 5046253, 7884737, 11353979, 15453973?\n\"Answer: -o**3 + 315394*o**2 - o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.5, 10, 0, 1\/8, 1, 3\/2, 0.26?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) 3  (b) -66  (c) 0.2  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -425546129\/6 or -70924356?\nAnswer: -425546129\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1*(4 + 10))\/1. Let r(k) be the second derivative of -x*k - 1\/2*k**3 - 1\/16*k**4 + 0 + 15\/8*k**2. Let r(q) = 0. Calculate q.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 7 = -1. Suppose 0 = -2*x + 3*x. Suppose 51 = -6052*k + 6035*k. Sort y, x, k in increasing order.\nAnswer: k, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001110011 + 10010110010111?\nAnswer: 10100000001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5587180 and 34695?\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -33, -83, -147, -231, -341, -483, -663, -887?\n\"Answer: -u**3 - u**2 - 40*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*w + 8*w + 12. Suppose u + 12 - 34 = 0. Let g = 34 - u. What is the highest common factor of w and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -146 - 18 + 27*x**3 - 11*x**3.\nAnswer: 16*x**3 - 164","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -14, 50, 156, 304, 494, 726, 1000?\n\"Answer: 21*c**2 + c - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 231 divided by 7\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -2743.046924 to the nearest integer.\nAnswer: -2743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 5*n = 4577189, -440195 - 5281310 = -5*j + 10*n. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -107 - -94.7. Let a = j - -12. Put a, 5\/6, 0.1 in descending order.\nAnswer: 5\/6, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 take away -16570798491?\nAnswer: 16570799037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -589764 divided by 708\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -5 + 12 - (-4)\/(-2). Let p(t) = t**2 - 5*t + 2. Let q be p(k). Suppose -i - 4*d + 40 = 0, -2*i - q*d + 98 - 24 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.89749 millimeters to micrometers.\nAnswer: 4897.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -2\/3*r + 1\/6*r**4 - 2\/3*r**3 + r**2 + 2. Find y, given that o(y) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1654, 4473, 7668, 11245, 15210, 19569?\n\"Answer: i**3 + 182*i**2 + 2266*i - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -6 + -66ac6?\nAnswer: -66acc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 112 and 504.3.\nAnswer: 56481.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 68.993516 rounded to 1 dp?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -138815.9*116\nAnswer: -16102644.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**2 - s. Let r(a) = a**3 + a - 1. Let h be r(0). Let x be n(h). Find the third derivative of -o**3 + 2*o**2 + x*o**3 + 8*o**2 wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101011011 (base 2) to base 6\nAnswer: 1335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 - 1. Let r(w) = -1. Suppose -3*f - 2*t = -8, -533*t = -3*f - 534*t - 2. Let g(q) = -q + 2. Give f*r(l) + n*g(l).\nAnswer: -l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12*o**4 - 12*o**4 + 3*o**5)*(-2121 + 805 - 943 - 422 + 27 - 1434).\nAnswer: -12264*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Do 3064926\/5 and 34 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) - (sqrt(6)\/sqrt(3) + -3) - (sqrt(2) - (sqrt(2) - sqrt(10)\/(2*sqrt(5))))) + 3 + 1*(sqrt(224) + -3*sqrt(224) + sqrt(224))\/sqrt(7))**2.\nAnswer: -54*sqrt(2) + 153\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 3, -301599, 0 in ascending order.\nAnswer: -301599, 0, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -138*h**2 + 32*h**2 + 37*h**2 - 3*h**3 - 66*h + 1 - 1 = 0 for h.\nAnswer: -22, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 1 h, and 1 b when three letters picked without replacement from hkbhfffffbfhhhyw.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(77)\/(sqrt(11) - -4*(3*sqrt(11) - sqrt(11))) + 0 + (sqrt(175) + 4 + sqrt(175))**2 + -5 + -4).\nAnswer: -2121 - 721*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -219*h + 309*h = -1260 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192 = 17*r + 127*r - 73*r + 2109 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 26 = 572. Calculate the lowest common multiple of (-1)\/(-9)*-2 - w\/18 and 45.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f**2 - 2. Let w(l) = 12*l**3 - 7 - 17*l**3 + 4*l**3 - 7*l**2. What is -7*i(h) + 2*w(h)?\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*z = -z + 11 + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.54 - -0.14. Which is the second biggest value?  (a) y  (b) -2  (c) 0  (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -l**5 + l**4 + l**2. Let p(r) = -2*r**5 - 10*r**4 + 24*r**3 - 10*r**2 + 4*r. Let a(d) = -6*k(d) + p(d). Factor a(c).\nAnswer: 4*c*(c - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 8 - 8)*(13*h**2 - h + h).\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(-10)*43710\/(-744) + -17?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + ((-14)\/1)\/((-588)\/168).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of h**5\/60 - 10*h**2. Let f(m) = -4*m. What is s(f(n))?\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1559\/28 - 388\/7. Which is the closest to -2?  (a) -2.4  (b) 4\/9  (c) 3\/8  (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -90*g - 4*x = -92*g - 18, 5*x = -5*g + 30 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, w: 2, c: 5, j: 2}. Give prob of picking 1 c and 2 j.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38 + -38. Solve -5 + r = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.65090548598 - -0.1\nAnswer: 1.75090548598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 312359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6063 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = 2*k**2. Let q(c) = -42*c + 7. Let s(y) = 28*y - 5. Let r(o) = -5*q(o) - 7*s(o). Calculate h(r(j)).\nAnswer: 392*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2271142 is divided by 1432.\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-15)*294\/(-98).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -2  (b) -99  (c) 0.2  (d) -5  (e) -1.53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 23157 = 3*a, 3*h - 38588 = -5*a + 2*h. Suppose 5*p - a - 10738 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -67\/7  (b) 19  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4.7 + 2.4. Let h = 1.7 - n. Which is the nearest to 0.1?  (a) h  (b) -4  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -6*s**2 + 5*s - 144. Let x(l) = 13*l**2 - 10*l + 285. Give 9*q(m) + 4*x(m).\nAnswer: -2*m**2 + 5*m - 156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 10547473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -1 + (-6*(sqrt(448) + sqrt(7)) + 4 - sqrt(175)*-3*-6)*1)**2.\nAnswer: -864*sqrt(7) + 145161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.07729 + -316.62271. Round l to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-11))**22*p**25\/((p*p*p**(-2\/7)*p)\/p*p) assuming p is positive.\nAnswer: p**(2004\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*s = 147, -4*o + 0*s - 565 = 3*s. What is the common denominator of 39\/14 - 2\/(-4) and ((-75)\/24 + 3)*o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**2 + 67*j - 355. Suppose 415*d = 25753 - 438. What is v(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r + 14. Let h be b(-6). Suppose 4 = -0*v + h*v. Suppose -5*w + 120 = 5*n, 25 = v*w + 3*n - 26. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d + 0*d + d - 4*d + d + 4*d + (-2*d + 0 + 0)*(3 - 4 - 1) + d - d - d + 0*d + 0*d + 2*d - 4 + 4 - d to l*d + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 332*s + 20*g - 16*g + 3672, -7*g - 21 - 4 = -2*g for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.361, 1\/3, 0.5, -0.04 in decreasing order.\nAnswer: 3, 0.5, 0.361, 1\/3, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/(-18) - (-9240)\/6615?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7.03 + 7. Let d = 0.03 + h. Let z be 45\/(-18)*((-6)\/(-5))\/1. What is the second biggest value in d, z, 3\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*l + 41 - 16 = 5*q, -4*q - 3*l = -11. Let i(z) be the second derivative of 0 + 0*z**q - 4*z + 1\/6*z**3. Let w(s) = 3*s. Give w(i(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -68\/27 and -20\/171.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17\/6 - 103\/30. Suppose 490 - 380 = 3*h + 2*h. What is the biggest value in -8, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2195.4 + 1136.7. What is n rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -38, -69, -138, -257, -438, -693?\n\"Answer: -2*q**3 - 7*q**2 + 4*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0063395047 to five decimal places.\nAnswer: 0.00634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**2 - 4*z + 1. Let i(q) = q + 5. Let y be i(-9). Let g = y + 8. Let d(n) = n - 1. Let s(o) = g*d(o) + l(o). What is the derivative of s(r) wrt r?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minus 134.6665?\nAnswer: -130.6665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = -29 + 39 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.003 and 7317.\nAnswer: -21.951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 102207438?\nAnswer: 2, 3, 5678191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2244 divided by -83\nAnswer: -2244\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*v**2 + 6*v - 306 + 305 + 19*v**3 - 164*v**3 + (-3*v + v + 0*v)*(2*v**2 + v - v).\nAnswer: -149*v**3 + 2*v**2 + 6*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 4}. Give prob of picking 4 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 257.9892 - -9.6796. Let w = h + -291.673. Let i = w + 24. What is i rounded to three dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5940 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(132) + -1*sqrt(132) + sqrt(132)) + sqrt(132) + (sqrt(132) - 4*-2*sqrt(132)) + sqrt(132))\/(sqrt(96)\/(sqrt(80)\/sqrt(90))).\nAnswer: 13*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/25?  (a) 4  (b) -3\/9941  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 2, 0 = -4*w + 5*q + 3786 + 4288. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8309.61 hours in seconds?\nAnswer: 29914596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*a - 46*a = -4*x + 21, 9*a = -3*x + 57 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n + 54 - 3*n + 2*n + 10*n + 9*n.\nAnswer: 20*n + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -5*c - 4*l + 9, -2*l + 6 = -5*c. Let r = 2 - 1. Let i be 0 + r - 1*-4. Solve -3*s - 3*u = -c*u + 6, -i*s = -3*u + 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 11. Let o = -33 + 26. Let c = d - o. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1202 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 + 1)*(-11*w - 9 + 9) - 7*w + 2*w - 13*w to j*w + o and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*v**5 - 5*v**5 + 33*v**4 - 18*v**3 - 32*v**4 + (13*v**5 + 25*v**3 - 25*v**3)*(5 - 6 + 3).\nAnswer: 25*v**5 + v**4 - 18*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**4\/5 + 3004*q**3\/5 - 1421552*q**2\/5 + 204247716*q\/5 - 600030126\/5 = 0.\nAnswer: 3, 261, 619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.23466765 - -3873.\nAnswer: 3873.23466765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 22768425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.007, -0.4, 2, -993?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*a**2 + 5*a**2 + 0*a**2 + 2*a**2 + a - a + (a + 3 - 3)*(2*a + a - 2*a) + (2*a**2 + a**2 - 5*a**2)*(1 - 2 - 1)*(-46 + 4 - 14)*(2 - 3 + 0).\nAnswer: 230*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tfbvvbjvvbttvttbvvtv. Give prob of picking 3 v and 1 j.\nAnswer: 56\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*u + 2*u - u)*(413027*u**2 - 7*u**4 - 22*u - 413027*u**2).\nAnswer: 7*u**5 + 22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 - c - 1. Let d(q) = 3*q**2 + q + 1. Let m = 16 + -17. Determine m*o(a) - d(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: ((-1050)\/63)\/(-14 - (-237)\/18)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 18209150 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(7) + -2)*-4 - sqrt(567)*-1)**2.\nAnswer: 80*sqrt(7) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (6 + 3 - 9 - 31)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -464547786*k**4 + 261*k**2 + 171*k - 298?\nAnswer: -11149146864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2498 + 2499. Let i be 2\/12 + (-208)\/96. What is the closest to 1 in 5, y, i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the second derivative of v**5\/20 - v**4\/2 - v**3\/6 + 2*v**2 - 65*v. Calculate d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 87322 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 3, -7, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -7.3 times -74147.6\nAnswer: 541277.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/4)\/(8\/(-24))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -250355 * 0.01\nAnswer: -2503.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16*34\/544)\/((17\/(-34))\/((-26)\/4))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 686145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 292\/(18\/10 - (-5)\/25). Let t = p - 141. Solve -3 - t = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 8 + -3 + 3 - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.067*3176375.\nAnswer: 212817.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1+-4122781201837\nAnswer: -4122781201838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 104.67  (b) -8  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 13.84 - 13.34. Put j, 5, 1\/7, 2\/15 in decreasing order.\nAnswer: 5, j, 1\/7, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 765.6903 weeks in days?\nAnswer: 5359.8321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*g = 56*g - 160. Solve 0 = -16*p + 8*p - g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 + 2*r**2 + 2 - 3*r**2 + 3*r**2 - r**2 + (-3*r - 2*r + 4*r)*(2 - 2 + 2*r) + (-2*r + 2*r + 2*r)*(2*r + r + 0*r) + 2*r**2 + r**2 + 0*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(-5 + sqrt(304) + sqrt(209)\/(sqrt(11)*-1)))**2.\nAnswer: -30*sqrt(19) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 458020 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 286162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 27*t**2 - 2. Let v(a) = -1 + 1 + 18698515*a - 18698513*a. What is y(v(b))?\nAnswer: 108*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.03622 * 0.12\nAnswer: 0.0043464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/8  (b) 0.3  (c) -15  (d) -9  (e) -127  (f) 2\/81\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000011161287482 rounded to seven decimal places?\nAnswer: -0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by -17.\nAnswer: -9\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.7 - -9.3. Let h = m + -9. Let k = 1 - h. Which is smaller: k or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 2*d - 7*d + 6, -3*r + 5*d - 9 = 0. Is (-1014)\/(-8) + r\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -215*a + 206*a - 76, -3*u = 5*a + 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11)\/(-33)*2*(-3)\/(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(45)\/(-2*sqrt(900)).\nAnswer: -sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 15463 = 6*y - y, -3*y + 3*p = -9261. List the prime factors of y.\nAnswer: 11, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from {v: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/(-165))\/((-8)\/60))\/((-9)\/6).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t**0*t)))**(-19)*t**0*t*t*(t*t**(2\/7))\/t*t*(t**(3\/7)*t*t**(-7))**(-21) assuming t is positive.\nAnswer: t**(709\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 26*s**2 - 5*s + 3. Let c be j(5). What is c rounded to the nearest ten?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -37, 1, -0.5 in increasing order.\nAnswer: -37, -0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 25 - 6031030?\nAnswer: -6031003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16*v - 21 - 6*v - 2*v**2 - 8*v to w*v**2 + s*v + r and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 8, -0.5, -2\/5, -15 in increasing order.\nAnswer: -15, -0.5, -2\/5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 312920895 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -10*0.410076\nAnswer: -4.10076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1640224 and -1.\nAnswer: -1640224","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Expand 2992*n**4 + 400*n**4 - 295*n**4 - n**4 + 0*n**4 - n**4 + (0*n**2 - 3*n**2 + n**2)*(-n - 2*n**2 + n) - 6*n - 3*n**4 + 6*n.\nAnswer: 3096*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 + 12*a - a**3 - 11 + 4 to r*a**2 + c*a + h*a**3 + m and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-5 - 3)\/((52\/72)\/(-13)). Suppose k + 3*w - 1 = 0, -6 = -k + 3*w + 1. What is the lowest common multiple of (d\/40)\/3*5 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 3*l**2 + 2*l - 2. Let p be m(1). Solve 3*h - 2*u = 2*u - 16, 4*u = -p*h + 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -1\/3  (c) 83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(-10) - 32568\/540. Let m = 60 + s. Let w = 0.2 + 0.3. Put m, w, 0 in descending order.\nAnswer: w, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in -4\/9, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of 0*o**6 - 11\/56*o**8 + 7\/4*o**4 + 0*o**2 + 17*o + 0*o**7 + 0*o**5 + 0 + 0*o**3. Find the third derivative of y(r) wrt r.\nAnswer: -1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1822 - 1819. Let f(o) be the third derivative of 0 + 0*o**t + 11*o**2 + 0*o + 1\/30*o**6 + 2\/15*o**5 + 0*o**4. Find the third derivative of f(b) wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l and 1 t when four letters picked without replacement from lltttttttttttttltl.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 35 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/6*-2)\/(3440\/1032)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 2*m. Let t(d) = d - 1. Let w(s) = 7*s**2 + 4*s - 3. Let c(v) = -t(v) + w(v). Let r be c(2). Let j(f) = -r*f - 3*f**2 + 32*f. Give b(j(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -23*c - 28. Let s be q(-4). Is 65 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16235216 + -0.0885\nAnswer: -16235216.0885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Total of -7420646 and -2.\nAnswer: -7420648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of l**5\/60 + l**4\/12 - l**3\/2 + 3*l**2 + 7*l. Let h(r) be the first derivative of y(r). Solve h(m) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -56304 divided by -1564.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 771430063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -23620*d**2 - 6*d**3 + 23620*d**2 + 137*d as m*d + c + w*d**3 + o*d**2 and give m.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*a - 249 + 273 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -252*s - 61426 = 4850. Which is bigger: -274 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 51*k**2 + 7*k - 9. Let m(d) = -508*d**2 - 69*d + 87. Determine -6*m(l) - 58*s(l).\nAnswer: 90*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 22881 less than 22880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (1 - (-4 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17836 - 5151 + 10084 = 561*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*(-350)\/(-105) + 11 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -z**3 - 624*z**2 - 1919*z - 2 wrt z.\nAnswer: -6*z - 1248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-1*sqrt(1300) + sqrt(13)) + 3*sqrt(1053)*-2)**2.\nAnswer: 151632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 23313, 0, -3\/13, 0.2, -2.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(13) + 3)*2.\nAnswer: -4*sqrt(13) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2666677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 773 and 766 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 48*i + 3. Let r(b) = 47*b + 2. Determine -5*h(t) + 6*r(t).\nAnswer: 42*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) be the first derivative of 0*o + 1\/26*o**4 + 1\/13*o**2 - 4\/39*o**3 - 15. Factor t(n).\nAnswer: 2*n*(n - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g. Let v(n) = 11*n**2 - 2*n - 2696. Calculate s(v(f)).\nAnswer: -11*f**2 + 2*f + 2696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*k - 4. Suppose k = 5*l, 3*t - 121 + 23 = -5*l. Calculate the remainder when t is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1944 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 2375, 2950, 3525, 4100, 4675?\n\"Answer: 575*n + 1800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1575 and 44925?\nAnswer: 943425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 616544.6 milligrams to nanograms.\nAnswer: 616544600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -296\/3*x + 722\/3*x**3 + 16\/3 + 1292\/3*x**2.\nAnswer: 2*(x + 2)*(19*x - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(14\/(-420)*-20)\/(4\/(-9)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001384492592 rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 8 + -6. Suppose -a*t = -0*t. Let f = 3 - 5. Put 4, t, f in descending order.\nAnswer: 4, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + (0 + 1 - 7) - -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wautjjaatzuw. What is prob of picking 1 t, 1 u, and 1 j?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -f**2 + 10*f. Suppose 3*p + 14 = 2*v, 2*v + 7 = 3*v + 2*p. Is 9 a factor of j(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 27, 42, 57, 72?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 362870.6 millilitres in litres?\nAnswer: 362.8706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 487*t = 1258 - 5242 - 399 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 766161.\nAnswer: 3, 11, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -1215457 < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 5668 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 69934695\/496 - 141000. Let y = v - -130\/31. Which is bigger: 3 or y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17804 + -17798. What is the biggest value in -27, -4, -12, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + s = 0. Let i(a) = a**2 - a - 3. Let z be i(s). Put -5, z, -4 in descending order.\nAnswer: z, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1496374887 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.27 + -0.15. Let g = -1.12 + x. Sort g, -3, 0.7 in increasing order.\nAnswer: -3, g, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3)\/4 - 85\/20. Let l(s) = s**2 + 7*s - 4. Calculate l(u).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 9:19 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**2 + 37*q - 208. Let s = 30490 + -30460. Calculate p(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1539, 34 in descending order.\nAnswer: 1539, 34, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(320) - (sqrt(320) - (sqrt(320) - -1*(-2*sqrt(320) + sqrt(320))))) + 3 + (-3 + sqrt(320) + sqrt(320) + 0 + -5)**2.\nAnswer: -256*sqrt(5) + 1343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 4, a: 2}. Give prob of sequence hhh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 2)*(31 + 29 - 4*r - 33).\nAnswer: -12*r + 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of y**7\/504 + y**6\/18 + y**5\/15 - 31*y**4\/72 - 97*y**3\/72 - 19*y**2\/12 - 2*y + 88. Let m(q) = 0. Calculate q.\nAnswer: -19, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9\/162*-2*-18\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.7 and 169625132827424.\nAnswer: 169625132827424.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes after 11:21 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**2. Suppose 3*a + 2*a = -20. Is 8 a factor of b(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18607 divided by 196?\nAnswer: 18607\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*c - 825 = 14*c. Let v = 802 + c. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -8288 - -2?\nAnswer: -8286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve d - 2*i - 9 = 0, 21 = 6*d - d + 2*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*s = 25*s - 3*q - 2, 2*s = -0*s - q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5074 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**3 - 6*q**2 + 6*q - 2. Let r be u(5). Let z be ((-7)\/4)\/(3\/(-24)). Suppose y + z = r*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 22948*p. Let n(b) = b. Determine n(q(d)).\nAnswer: 22948*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/11?  (a) -2\/7  (b) -4  (c) 1\/6  (d) 1\/9  (e) 2  (f) 175\/187\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7 - 4 + 252*k + 632*k - 92 wrt k?\nAnswer: 884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33\/(-49)*115\/(-46805)*37.\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -1. Suppose -39 = 5*w + 41. Find the common denominator of 23\/10 and s\/(-8) + (-146)\/w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -295*-0.282\nAnswer: 83.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of -2*p**3\/3 + 14. Let k(t) = 0*t + t - 3*t. Determine k(g(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r + 5. Let a(c) = 3*c + 9. Let l(t) = 5*a(t) - 9*b(t). Let s(z) = z**3 - 3*z**2 + 2. Let y be s(3). Let x = y + -1. Give l(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1239315 and 870.\nAnswer: 2478630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*m - 17*m + 12 = 0. Which is the smallest value?  (a) m  (b) -3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/((r\/r**13)\/r)*r**10\/r)\/(r*r*r*r**(-5))**(-3\/17) assuming r is positive.\nAnswer: r**(385\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10301 is divided by 294.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-5) + 2\/5. Suppose k - 5*k = r. Suppose 2*q - 4 + 2 = k. Solve -q + 5 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 793907 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) be the first derivative of f**5 + f**4\/2 - 5*f**3 + 2*f**2 + 4*f + 1. Let m(t) = 0. Calculate t.\nAnswer: -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the third derivative of 5*b**7\/42 + b**6\/2 - b**5\/12 - 5*b**4\/2 - 10*b**3\/3 - 14*b**2. Find g, given that k(g) = 0.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 14, a: 5}. Give prob of sequence ttaa.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2. Let x(q) = 20531*q**2. Calculate x(g(l)).\nAnswer: 20531*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i\/(i*i**(1\/11))*i*i*i**(5\/9)*i*i**(-9\/2)\/i*i*i**12 assuming i is positive.\nAnswer: i**(2171\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/5966 and -14\/45373?\nAnswer: 1724174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1354001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -4*h - 28. Let s be a(-9). Let m(g) = -g + 12. Give m(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1621, -1830, -2353, -3334, -4917, -7246, -10465, -14718?\nAnswer: -20149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*k - 0. Let x be -3*k\/36*-3. Solve -t - 3 = 2*t, -n + x = 4*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.2 - -0.8. Let z = -7 + 11. Put z, 1\/8, s in increasing order.\nAnswer: 1\/8, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 305762*d**3\/7 + 7984220*d**2\/7 + 895576*d\/7 + 25168\/7 = 0.\nAnswer: -26, -22\/391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1.37333 - -74\nAnswer: 75.37333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(78))\/sqrt(6)*-1.\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 0.3669.\nAnswer: -0.07338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -2277324 + 2277324 - w. Let m(g) = -65*g. Calculate m(c(z)).\nAnswer: 65*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*v - 218 = -1463. Let r = 93 + v. Suppose z - r = 5. Does 3 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2 and -181168355791.1.\nAnswer: -181168355791.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 1534*x**2 - 25*x + 121. Let k be s(10). Suppose 91967 = 3*d - 2*j, -84*d + 89*d - k = -4*j. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 25*l + 129. What is v(-7)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - 8*v**2 - 9*v - 8. Let t be h(-7). Let z = 79 - t. Let o = 162 - z. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 10, -2\/7, 0.2, -1\/2, 32, -2\/5, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a tonne in kilograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from uumummmuum.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = 4*c, -z - 2 = -2*z + c. Let o be 3\/(z\/12*-6). Suppose o*u - 49 + 17 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, b: 3, f: 3, e: 1, w: 1, m: 2}. Give prob of picking 1 w and 2 m.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -101, -197, -293, -389, -485?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 429375 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:15 PM and 6:16 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -151 - -226. Let l be (q\/(-10) + 5)\/(1\/(-2)). Suppose -l*p = -10*p + 5. What is the lowest common multiple of p and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -0.40122?\nAnswer: 2.0061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 16.53408 decades?\nAnswer: 1.653408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*c + 4*c + v + 2 = 0, -4*v + 2*v - 86 = c - 82 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 91?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -86 + 344. What is the remainder when l is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:28 PM and 7:07 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3, 179, 0.1, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - 10*s - 6. What is h(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 2*b + 6*b - 55 = 0, 0 = g + 4*b - 13. Suppose -g*q + 18*q = -18. Solve -x - 3 = -q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 25679 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -24*f - 1. Let s be l(2). Let j = s + 50. What are the prime factors of (-609)\/(-8) + j\/(-8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 1\/9, 0, 4\/7, 479.9, -9\/2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11745852 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1388\/1667121 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -29368415241 and -1.3.\nAnswer: -29368415242.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 8:02 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.08 or -134\/31?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1557 (base 12) to base 7.\nAnswer: 10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 960 and 150?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 7*q - 2039, 3*x - 4*q - 1407 = -200. What is the highest common divisor of x and 2997?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 3 - 8 + 2 + 1 - t**3 wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 569660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the first derivative of -3*a**3 - 2*a**2 - 3*a - 4700. Give q(-3).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1380*z**3 + 407*z**3 - 1362*z**3.\nAnswer: -2335*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 654, 2404, 5320, 9402, 14650, 21064?\nAnswer: 28644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 76 divide 267733308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y + 39. Let j(z) = 82377*z. Give m(j(s)).\nAnswer: -82377*s + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of k**4\/10 - 8*k**3\/15 - 782. Factor o(z).\nAnswer: 2*z**2*(z - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - 0. Let i(h) = -2*h + 1. Let c be i(r). Suppose u = 3, 0*v + c*u = 3*v - 39. Calculate the lowest common multiple of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -203098, -406183, -609268, -812353, -1015438?\n\"Answer: -203085*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w - 34 + 28 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of 34.6 and -26591.7.\nAnswer: -920072.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 1 = -c. Suppose -5 = 5*q + c. Let s = q + 19. Calculate the smallest common multiple of 20 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3201 - 0?\nAnswer: -3201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*a - 3*a + 330*a**2 + 6*a + 0*a + 3*a.\nAnswer: 330*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 3*n**2 + n. Let o be u(1). Suppose 15 = -w - 4*b, -4*w + 11 = -b + 3. Solve -7 = o*d + w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that -17405*g**5 - 1023945*g**4 - 6598390*g**3 + 263297090*g**2 - 502616205*g + 246958855 = 0.\nAnswer: -2119\/59, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24129161?\nAnswer: 7, 241, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 less than -8587?\nAnswer: -8620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 455951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r + r - r - 1. Let o(x) = 29972 - 29972 - 3*x. What is o(w) - y(w)?\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9400684 and 632?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Find h such that -4*h**5 + 16*h**4 + 39344*h**3 - 2243848*h**2 + 37688020*h - 66715528 = 0.\nAnswer: -121, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12 - -7.7. Let q = 4 + p. Let g = q + 0.2927. What is g rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 738 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**3 + 3*b**2 - 2*b + 23. Is 6 a factor of t(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0\/(-1) - (-27)\/((-81)\/(-9)). Factor -63*c**i - 18*c + 6*c**5 - 9*c - 20*c**2 + 9*c**4 + 2*c**2 + 0*c**4 + 93*c**2.\nAnswer: 3*c*(c - 1)**3*(2*c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1  (b) -7\/8  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -328399 + 328399 + 41*a**3 - 8*a.\nAnswer: 41*a**3 - 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 2.2603  (b) 0.9  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78956*z = 2*j + 78955*z - 3, -5*j - 38 = z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 206 + -133. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -s**2 - s**2 + 6*s**2 - 2*s**2 - 4*s**4 + 1 as y*s**2 + r*s + j*s**3 + m*s**4 + g and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 40 and 277830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (8 + 2\/1)\/((-3)\/(-6)). Suppose -16*f - 7016 = -p*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.01, 5, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 10, 0, -9, 5, -6 in ascending order.\nAnswer: -13, -9, -6, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 21169000 to the nearest one hundred thousand.\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5.732481 + -5.733. What is h rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 329 = 141. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 115*y - 378. Let l be a(3). Sort 2, 8\/7, l in decreasing order.\nAnswer: 2, 8\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4082.6 to the nearest 10.\nAnswer: -4080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 53\/1148 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 5*l + 3. Let r(q) = -9*q - 7. Let v(n) = 6*r(n) + 11*t(n). Let f(a) = -25*a**2 - 26*a**2 + 84*a**2 - 35*a**2. What is v(f(z))?\nAnswer: -2*z**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a day in seconds?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 101095 and 1285.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 149286?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1070564 to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 0 = -2*c. Let g(w) = -4 + 2*w + c*w - 3*w. Let p be g(4). Let s(a) = -a**3 + a**2 - a + 1. Give s(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 34341 + -34596. Let n(z) = -51*z - 2. Let w(j) = 6477*j + 255. Determine i*n(o) - 2*w(o).\nAnswer: 51*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 726\/44*(16\/3)\/(-2). What is the remainder when 106 is divided by ((-33)\/2)\/(33\/j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ogmt when four letters picked without replacement from {m: 7, o: 8, t: 2, g: 1}.\nAnswer: 7\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-160)\/(-16) + 1156\/(-168) and 2\/121?\nAnswer: 5082","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(2\/7)*a)**(2\/85))**(-23)*(a**(1\/4))**(-17)\/(a*a**(-3)*a\/a**3) assuming a is positive.\nAnswer: a**(-2803\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, e: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*b**2 - 49*b**2 + 65*b**2.\nAnswer: 41*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 100269?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 424 = 11*j - 2535. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1570952\/(-14)*357\/(-102). Suppose 26*l - 469136 = y. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20103303223 (base 4) to base 13\nAnswer: -5b3633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 - 2*p - 3. Let l be j(-2). Let b = 0 - l. Suppose 0 = -3*w + b. Do w and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1815963 or 1816039?\nAnswer: 1815963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1*7\/(70\/10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oqq when three letters picked without replacement from ooooqoqo?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**3 + 3*g**2 - 22*g - 4. Let o(c) = -c**2 - c + 1. Determine 3*o(d) + v(d).\nAnswer: -d**3 - 25*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z\/z**(9\/8)))\/(z\/z**3) assuming z is positive.\nAnswer: z**(25\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 6*h + 24, 3*l - 24 = 6*l + 3*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 11504 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -32722*n**3 + 10578 wrt n.\nAnswer: -98166*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -12 - 21\/210*-792. Factor -2\/5*u**3 + 288\/5 + 10*u**2 - c*u.\nAnswer: -2*(u - 12)**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w**2 + 36*w + 36. Let n be r(-17). Suppose -26 = n*h - 66. Let a(j) = -2*j + 6. Let g be a(-2). Calculate the greatest common factor of h and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 675?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -36 - -38. Let y be 6\/(-12) - (-9)\/z. Which is the biggest value?  (a) y  (b) 0  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w - 3. Suppose -i = 4*i - 10. Suppose -f + 2 = -i. What is the units digit of h(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 52 = -z, -3*r + 41 = 2*z - 3. Let a(s) = -s + 5. Let c be a(3). Let v be 2*(-1)\/(-2 - -1). Solve c*u - r = 3*f, -8 = v*f - f - 2*u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 24\/(-36)*9\/(-4)*2. Solve h*f + 7 = 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -90*y**2 - 1806336 - 89*y**2 + 5376*y - 77*y**2 + 252*y**2.\nAnswer: -4*(y - 672)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 26871  (b) -1\/6  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v + 4. Let d = 0 - 0. Suppose d*u = 2*u + 10. What is s(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 6\/5 of a minute?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 152 (base 12) to base 13\nAnswer: 12b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 366.9269 litres to millilitres.\nAnswer: 366926.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -1363*l**3 + 7*l**2 - 6*l + 244. Let k(w) = -1364*w**3 + 7*w**2 - 4*w + 242. Let j(a) = 3*k(a) - 2*s(a). Find the third derivative of j(d) wrt d.\nAnswer: -8196","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v - 2*v - 5*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8459*b**2*p**2 + 2833*b**2 with respect to p.\nAnswer: -16918*b**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 20 - 16. What is the smallest common multiple of (22\/6)\/(2\/12) and t?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -289.1, 4\/7, 39, -4.\nAnswer: -289.1, -4, 4\/7, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)*-5 + sqrt(65) + sqrt(65) + sqrt(65) + sqrt(65))*-1)\/sqrt(5) + 4.\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12\/10*40\/6. Let w(s) = -7*s**2 - 6*s**3 + s**3 + 72*s - 81*s - 24 + 24*s**2 + 4*s**3. Let h be w(16). Calculate the highest common factor of h and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5 + -7)\/((-4)\/6). Suppose -4*x = -2*x - 2*o + 8, -2*o = 5*x + 13. Is 13 a factor of 1 + n\/x + 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 22 = 13. Let n(r) = 11*r + 9. Let a(s) = 6*s + 5. Calculate o*a(y) - 4*n(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 85 + -93 + (5 - (-5 + -2 - -10)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (6 + (-364)\/63)*(3 + 0)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pptj when four letters picked without replacement from {w: 1, j: 4, k: 3, t: 3, p: 3, n: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1007 and 2793?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -110100 (base 2) to base 9\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1535, -1530, -1525, -1520, -1515, -1510?\nAnswer: -1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -2*j**4\/13 - 28016*j**3\/13 - 7544924*j**2 + 196252080*j\/13 - 98140050\/13 = 0?\nAnswer: -7005, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9, 11, 15, 21, 29, 39?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(1\/3)*n**(1\/11))\/(n\/(n*(((n\/n**4*n)\/n)\/n)\/n)*n*n**(-4)) assuming n is positive.\nAnswer: n**(-52\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -501234 - -44103?\nAnswer: -413131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 26 - 9*n - 4*n + 20 + 80*n**2 - 47. List the prime factors of c(-3).\nAnswer: 2, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 139.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7 + -12. Let o(i) = -7*i**2 + 7*i. Let g(s) be the second derivative of -s**4\/2 + s**3 + 2*s. Let x = 15 + -9. Give f*o(z) + x*g(z).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1241, 1366, 1491, 1616?\n\"Answer: 125*k + 1116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.273*-2.\nAnswer: -2.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44 + 47. Suppose -4*o = 5*x + 111, v*o + 2*o + 135 = -5*x. Which is smaller: o or 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-26))\/(882\/(-546))\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 divided by 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -14*-0.269.\nAnswer: 3.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6d (base 16) in base 15?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**2 + 4*k + 4. Let u(h) be the first derivative of -h**3\/3 + 15*h**2\/2 - 6*h + 37. Let b be u(15). Determine v(b).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*r - 13229 = -202*r - 60*r - 3737 for r.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 40816 (base 10) to base 2.\nAnswer: 1001111101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1563, -1621, -1687, -1761, -1843, -1933?\n\"Answer: -4*h**2 - 46*h - 1513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1074 divided by 537.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22\/(-198)*15\/10.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 446*u**2 + 8110. Let y(l) = -3*l. Give m(y(t)).\nAnswer: 4014*t**2 + 8110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 271 - 3.1.\nAnswer: 267.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 + 5 = -5*y. Suppose -y*s = -2*k + 3 + 3, 4*k - 12 = -s. Suppose -166 = -k*l + l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k + 22. Let g be j(0). Let v(i) = i + 3*i - 22 + g. Let l(z) = -44*z - z**2 + 44*z. Give v(l(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-14)\/(-49) - 10\/(-14). Let v(n) = 12*n**2 - 3*n + 1. Let l be v(s). Factor -19*u**2 + 20*u**3 + 28*u**2 + 15*u**4 - l*u - 14*u**2.\nAnswer: 5*u*(u + 1)**2*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -64\/157 + 6147\/3140. Find the common denominator of 97\/12 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -22*n + 2. Let h be s(1). Calculate the common denominator of (-770)\/16*2\/h and 75\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -24*c + 68*c - 176 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 302*z - 303*z - 369500 = 0. What is z rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -156, 5, 1, 3, -8, -1 in increasing order.\nAnswer: -156, -8, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 94238144 by 453068.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1.5  (b) 15  (c) 3\/4  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1438890 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -181000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 v when two letters picked without replacement from {g: 1, f: 1, q: 2, m: 1, v: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d + d - 2*d)*(-2*d + 0*d + 10*d) + 6*d**2 - 3*d**2 + 3*d**2.\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**39\/n)\/n*n*n\/(n\/(n*n**(4\/5)*n*n)) assuming n is positive.\nAnswer: n**(214\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1073*b = -812*b - 4176 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 3845 (base 9) to base 10\nAnswer: 2876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2374.7 + -2375. Which is the third smallest value?  (a) 5  (b) o  (c) -0.108  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mzuuezmuumua. What is prob of picking 1 a and 1 u?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are -69309919 and -69309918 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -95842, -95841, -95834, -95821, -95802?\nAnswer: -95777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3516*t**3 - 3683 + 1845 + 1837 + 2*t**2 - t to the form h*t + p + m*t**3 + c*t**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the third derivative of l**7\/35 - l**6\/60 + 7*l**4\/12 - 2*l**3\/3 - 41*l**2. What is the second derivative of i(c) wrt c?\nAnswer: 72*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12.5 greater than or equal to 0.1530884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -4*v + 224. Let i(m) be the first derivative of 2*m**3\/3 + 2641. Calculate w(i(r)).\nAnswer: -8*r**2 + 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-250)\/225)\/(8\/(-6)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30774a (base 13) in base 15?\nAnswer: 174e6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 14*u + 2*u. Solve u*l - 9 = 4*t - 27, -3*t = 4*l - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(-26)\/d*d\/(d**(-19)*d)*(d*(d\/(((d*d**(-25))\/d)\/d*d))\/d)\/(d\/((d**(-3\/5)*d)\/d)) assuming d is positive.\nAnswer: d**(82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-318 + 8*z + 318 + (1 + 0 - 2)*(6*z - 4*z - z) + (-3 + 3 + z)*(0 - 5 + 4))*(0 + 0 - 6) in the form x*z + q and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:37 AM and 2:23 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 696 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -570*t + 9708. What is z(17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 23344678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - ((-8 - -5) + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3.77 * 0.4\nAnswer: 1.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*r**5 - 4*r**5 + 2*r**5 + (-r + 4*r - r)*(2*r**4 + 2*r**4 - 5*r**4) - 2*r - r**5 + 2*r - 4*r - r**5 + 4*r + 2*r**5 - 4*r**5 + 0*r**5.\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2027 is divided by 56.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (6\/(-4))\/(9\/(-24)). Solve 2*n = 3*l + 17, -4*l - 4*n - m = -2*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 - 44*s + 32. Let i(a) = -1431*a. Give u(i(f)).\nAnswer: 2047761*f**2 + 62964*f + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1 and 88763.\nAnswer: 88762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = x, -2*m - 22 = m + 2*x. Let n(c) = -2*c - 9 + 11 + 4. Let y be n(m). Solve -5*p + 6 = y for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-217*l + 607 - 607)*(2*l - 7 + 2*l - 2*l).\nAnswer: -434*l**2 + 1519*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of 4*q - 1\/20*q**5 + 0*q**2 + 0*q**3 - 1\/2*q**4 + 0. Find the third derivative of v(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -405*u**3 - 55*u - 55. Let t(w) = 15*w**3 + 2*w + 2. What is 2*o(k) + 55*t(k)?\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.15 + 5.15. Sort -18, -3, n, 4.\nAnswer: -18, -3, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -38, -29, -20, -11, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 84299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + -2*sqrt(128) - (sqrt(128) + (sqrt(128) + -2*sqrt(128) + sqrt(128))*4 + sqrt(128))**2) + (6*(-2*sqrt(128) - sqrt(128))**2 - -2*(sqrt(128) + 2)).\nAnswer: 6404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x**3\/13 + 2*x**2\/13 - 10*x\/13 + 6\/13 = 0 for x.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2)\/(-6) + 32\/(-96). Solve 3*i - 1 + 13 = b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-21 + 5)\/4 + 4. Suppose 10*i - 3082 - 828 = k. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qkkkkkokn. Give prob of picking 1 q, 1 o, and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*v**2\/7 - 47654*v\/7 - 47652\/7.\nAnswer: -2*(v + 1)*(v + 23826)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 6:51 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16481141 is divided by 201.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(68)*-6 - 2*sqrt(68)*-1)\/((sqrt(4)*2*4 + (sqrt(132)\/sqrt(3) - sqrt(44))\/sqrt(11))*6).\nAnswer: -11*sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 2*c**3 - 36*c**2 + 5*c + 5. What is the smallest common multiple of m(18) and 25?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 760842?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*d**4 + 21*d**4 + 13*d**4 + (-2*d**3 + 0*d**2 + 0*d**2)*(0*d - d + 0*d) + d**4 + 4*d**4 - 6*d**4 - 41*d**3 + 41*d**3 + d**4 + 3*d**2 - 3*d**2.\nAnswer: 45*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 16*m**2 + 5491*m - 2754*m - 2737*m + 4*m**2. Let v(h) = 174*h**2. Calculate v(j(p)).\nAnswer: 69600*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 67 divide 6212441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 55 - -151?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*j + 7. Let h be (10 - 13) + 1*j. Let f be 4\/(1*(-1)\/(-1)). Solve -f*r + h*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 80 = 12*w + 20. Suppose 5*o = 12*g - 7*g - 2820, g - w*o = 580. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1453\/10171*49\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3.4, 150\/11, -1\/5 in ascending order.\nAnswer: -3.4, -1\/5, 150\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -75*n**3 - 5*n**2 - 116*n - 289. Is i(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 2*c - 2 + (3 + 3 - 8)*(2*c - 2*c + 2*c) + c + 12*c + 3 - 9*c + (3 - 2 - 3)*(-7*c + c + 4*c) + 3*c + 0*c - 4*c + 4*c + 2*c - 4*c + c + 3*c - 3*c.\nAnswer: 8*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -519  (b) -2\/17  (c) 2  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 510 - 270. Suppose 0 = -i*t + 248*t - 40. Solve t*o = 8*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 639 = 11*u - 351. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -3*w + 3*z - 6*z, 3*z + 8 = w. Let y = 8 - w. Calculate the remainder when 34 is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 653 and 20797397.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of f*m*r + 4*f*m - 34*f*r + 20*m*r - r - 884 wrt r?\nAnswer: f*m - 34*f + 20*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 - 5*c + 13. Let k be b(-15). Suppose 4*s - 8*y - k = -3*y, 0 = 2*s - 3*y - 159. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*o - 3*b - 21, -5*o + 4*b - 49 + 41 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 19*i**2 - 3*i - 13. Let n(u) be the second derivative of -9\/2*u**2 - 119*u + 0 + 13\/12*u**4 - 1\/3*u**3. Give -7*n(h) + 5*w(h).\nAnswer: 4*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) be the third derivative of -t**8\/6720 + t**6\/720 - t**5\/20 - t**2. Let f(n) be the third derivative of h(n). Differentiate f(l) with respect to l.\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19091 + 4*q - 37391 - 2*q + 18300.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*g + 58 - 18 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -75376, -152188, -229000, -305812, -382624?\nAnswer: -459436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/(-15) - (-1476)\/(-80). Let b(o) = o**3 + 44*o**2 + 287*o - 54. Let h be b(-36). Which is bigger: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11220201 + -10120?\nAnswer: -12001021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 20593?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(190)*2*-2)\/sqrt(10).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43590 = -28*m - 42442 for m.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fpap when four letters picked without replacement from kpkvkkfvpfafvpvvkk.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 809.42301 nanoseconds to days.\nAnswer: 0.000000000009368321875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4*o - 448 = 0, -5*k - 21*o + 716 = -20*o. What is the smallest common multiple of 120 and k?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, p: 1}. Give prob of sequence qqq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from egegggseeeggseeee. Give prob of picking 2 s and 2 e.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-41*n**2 - 11*n**3 + 41*n**2)*(-3 + 5 - 4)*(6 + 0 - 4)*(0*n + 20*n + 10*n).\nAnswer: 1320*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 38 = -17. Let u(d) = 3*d**3 - 3*d**2 + 10*d + 1. Is u(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2133 divide 1683047916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -n + 4*l, 3*n - 3*l + 12 = 6*n. Suppose 3*c + 2*k = -32, 0*k + 24 = -c - 4*k. Let h = 11 + c. Solve -4*b + 8 = -n*j + j, -3*j - h*b = -6 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 6 and 138.\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 5983.73 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1*10\/25)\/(49\/35)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -8865672?\nAnswer: -8865672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 21716 * 162.8\nAnswer: 3535364.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*b + 4*b - 2*b)*(-1 - 6 - 2 - 1 - 1 + 0 + (-3 + 0 + 1)*(-1 + 3 - 1) - 1 + 4 - 2 - 2 - 1 + 5 + 3 - 4 + 3 + 3 - 4 - 1) in the form v*b + t and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -219 + 221 - (-8 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -b**2 + 16*b + 14. Let y be u(17). Put y, 1, 5 in descending order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -c**2 - 6088 + 6062 - 2*c + 0*c in the form q*c**2 + f*c + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -5*n - 3 - n + 4*n. Let t = 7 + -10. List the prime factors of m(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -152, -767, -1394, -2039, -2708, -3407, -4142, -4919?\n\"Answer: -b**3 - 608*b + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2821081 at least as big as 2821083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dgdgg. What is prob of picking 2 d?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.4 + -1.3. Let a = 0.1 - x. Let v = -49\/244 - 3\/61. What is the nearest to v in 0.4, -2, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45511024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -45  (b) 248  (c) 139\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-3))**31)**33\/((b**(1\/4)\/b)**(-1\/80)\/(b\/(b*b**(-2)\/b))**(-36)) assuming b is positive.\nAnswer: b**(-689283\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0\/(-79) - (-79395)\/5.\nAnswer: 3, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/35*1)\/(1\/5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h + 0*h + 5*h**2 - 2 + 1 - 15*h**2 + 13*h**2. Let r be (-2)\/4 + 18\/(-12). Let l be u(r). Solve -2*f + 5*f = l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 437 is divided by 116.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001399829 rounded to 7 dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vysqykv. Give prob of sequence ykq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*s - 49 - 179. Let a = 121 + s. What is the remainder when a is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v - 4*z = 0, 360*v - 304*v - z + 223 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 - (61 - (-52 + 42))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f**4 - f**2 - 1. Let d(x) = 6*x**4 - 9*x**2 + 9*x - 9. Let g(p) = d(p) - 9*u(p). Find the second derivative of g(l) wrt l.\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 9 + -18*(-4)\/(-6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1901 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2*(-2 + 0 + sqrt(80) - ((6*(sqrt(5) + 0 - sqrt(5)) - sqrt(5))**2 + 3)).\nAnswer: -25 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 57*w**2 - 5. Let u be i(-3). What is the common denominator of 113\/30 and (6\/3)\/(336\/u)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the first derivative of 0*i**5 + 0*i - 1\/72*i**4 - 1\/3*i**3 + 1\/1080*i**6 - 2 + 0*i**2. Let h(d) be the third derivative of y(d). Factor h(j).\nAnswer: (j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -147, -294, -441?\n\"Answer: -147*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -9.2  (b) -8  (c) 7  (d) 3\/4  (e) 0.3  (f) 3  (g) 2.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6875 - -6874. Is 0.4 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -57 + 59. Put 7, n, -0.2, 0.3 in ascending order.\nAnswer: -0.2, 0.3, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 PM and 12:45 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 + 5*t + 4. Suppose -20 = 4*l - 4. Let i be 22 - 1*(l - -2). Suppose 2*h + i = 4*b, 4*b - 2*h - 24 = 3*h. Determine r(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4.739868 days?\nAnswer: 409524.5952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, 3\/4, 99, -0.979?\nAnswer: -0.979","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -78 less than 17\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -25  (c) 41  (d) 0.5  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2167 + 714 + 730 - 2207*s**2 + 723.\nAnswer: -2207*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -139*i**2 + 3. Let n(d) = -d**2. Determine n(o(y)).\nAnswer: -19321*y**4 + 834*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -1*(-5 + (sqrt(128) - (sqrt(128) - (-1 + sqrt(128))))) + -5 + 3)**2.\nAnswer: -112*sqrt(2) + 177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-3) + 86\/3. Let u(h) = h**3 - 14*h**2 - 2*h + 14. Let d be u(6). Let r = -258 - d. What is the highest common factor of r and f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -58, -242, -426?\n\"Answer: -184*q + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 160 + 163 - 101*t**3 - 325 as q*t + p*t**2 + w + d*t**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 786*f**2 - 73*f + 48. Is k(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -354402.737 - -354374.73699745. Let i = h - -28. What is i rounded to 7 dps?\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*j + 33 = -8*j. Suppose -j = -5*c + 4. Find the second derivative of 0*r - 7*r**2 - 3*r + c*r**2 + 5*r wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -146728, -146721, -146714, -146707?\nAnswer: -146700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-2\/15)\/(b**15*b) assuming b is positive.\nAnswer: b**(-242\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 315337482 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - 3 - (4 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -403 + 417. Solve -7 = 2*g - s, 2*s + s = -g + k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50*13\/(-3250)*-5*(-2)\/52?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5b5 + -5?\nAnswer: -5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 60627 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 plus 16293?\nAnswer: 16249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -66009, -65849, -65583, -65211, -64733, -64149?\nAnswer: -63459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 23*v - 9*v**2 - 23*v + (-5 + 5 - 3*v)*(v - 2*v + 3*v) to w + t*v**2 + h*v and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 296 divide 86505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4 + -2 - 2) + -3. Suppose 5*v - c - 53 = -0*c, 0 = 2*v - 5*c - 35. What is the remainder when ((-42)\/(-5))\/(t\/(-10)) is divided by v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 388850.\nAnswer: 2, 5, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the first derivative of 7*v**2\/2 - 1. Suppose 5*n = 5*o - 20, -11 = 3*o + o + 5*n. What is the smallest common multiple of o and g(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -i - 3*y + 7*y, 4*i - 3*y = 27. Let u = i - 4. Let x be (-1)\/(-2) + -1 + 10\/4. Solve x*g + u = 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -31*z**3 + 10*z - 10*z + (-2*z + 4*z - 5*z)*(-3*z**2 + 4*z**2 + 7*z**2) as n*z**2 + o*z + q + t*z**3 and give t.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**3 - 2*i - 3. Let h(p) = -3*p - 6*p - 3*p + 14*p - 5*p - 5 + p**3. Determine 3*h(c) - 5*u(c).\nAnswer: -2*c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*s**2 + 7*s**2 - 16*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 36*u + 149. What is j(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*d**3*x**4 + d**3*x - 8*d*x**3 - d*x**2 wrt x?\nAnswer: 72*d**3*x - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*i = -33 - 11. Let x be 49\/(-28) - 2\/8. Put -4, -5, x, i in ascending order.\nAnswer: -5, -4, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 5*c - 30 = 0. Let z be -12*(-5)\/c*-31. Let j be z\/(-38) - (-12)\/114. Which is bigger: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1132 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (20\/30)\/(2\/9). Let p = 7 - g. Find the third derivative of -8*w + 8*w + 4*w**2 - p*w**5 - 6*w**5 wrt w.\nAnswer: -600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j = -11*o - 3, -5*j + 9*j - 4*o - 12 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*i**2 - 561*i + 286*i - 73*i**4 + 277*i + 1)*(-1 + 1 - i).\nAnswer: 73*i**5 + 6*i**3 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2012 - 1?\nAnswer: 2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {g: 1, i: 4, t: 8}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 382696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2849 and 0.\nAnswer: -0.2849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/74 in 4, -0.5, -120\/7, -9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0059624506 to five dps.\nAnswer: -0.00596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 2*h**3 - 2*h**2 - h + 7. Calculate o(4).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the third derivative of 0 + 1\/12*z**4 + 3*z**2 + 0*z**3 + 0*z. Let f(y) = -y. Determine k(f(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -264*s - 720*s + 58056 for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 25\/4 of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gccggggccgzgccgzgc. What is prob of sequence zc?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 40\/25 + (-2)\/(-5) + 0. Let b be -106 + (-6 - -4) + m. Let t = 255 + b. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 3, q: 2, m: 1, n: 5, a: 1, y: 3}. Give prob of sequence lmn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6*q**3 - 2*q**2 + 2*q**2)*(-1 + 0 + 0) + 0*q + 0*q - 2*q**3 - q**3 + 3*q**2 - 3*q**2 to f*q + y*q**2 + w*q**3 + t and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5 and 9888785?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 2*k - 14. Let y(u) be the second derivative of -u**3\/6 - 7*u - 6. Calculate w(y(n)).\nAnswer: -2*n - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b*b*b*b*b\/(b*b**5)*b)\/b)\/b)\/b**(-3)*b**(1\/3)*b*b**(2\/17))\/((b*b\/((b**1\/b)\/b))**(-49)*b**(-3)\/(b\/(b*b**(-6)*b))) assuming b is positive.\nAnswer: b**(8030\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 - -15. Let n = 2 + g. Solve n - 1 = 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - r - 20 = 0. Let d = r - -16. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34319 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -87*k**2 - 3*k + 88*k**2 + 2*k + 41 to the form c + a*k + n*k**2 and give c.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**3 - 5*v**2 + 2*v - 1. Let n = -11 - -21. Suppose -t - t = -n. Suppose -4*m = -25 + t. What is j(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 223578, 447803, 672028?\nAnswer: 896253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 15\/11  (b) -0.1  (c) 22382\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.17779497028392 + -0.005.\nAnswer: 0.17279497028392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 50 = -7*f + 2*f, 5*f + 22 = -2*v. Let s be 5*-3*(21\/3 + f). Let p be (-9)\/(s\/(-5)) - 2. Which is the closest to 0.3?  (a) -3  (b) p  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6241*p - 98468 + 784978 = 0 for p.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 f, 1 x, and 1 v when four letters picked without replacement from {d: 1, q: 1, y: 2, f: 1, x: 1, v: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3699*c = 3701*c + 14 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 6 - (-15)\/((-90)\/24). Suppose 0 = 5*t + 5, -3*z = -q*z + 5*t - 1015. Is 90 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14856 and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 15*(-7 + 66\/9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11100111 + 111010110?\nAnswer: 11101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide ((-216)\/(-30))\/(((-40)\/(-75))\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 973*g**3\/5 - 3173924*g**2\/5 + 2588330129*g\/5 + 5320322\/5.\nAnswer: (g - 1631)**2*(973*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -38 + 62. Let c = w + -17. Let k = 7 - c. Are k and 0 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c**3 - 16*c**2 - 3*c + 844. Does 4 divide v(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-34)\/15 - (-1 - -2) and (-110)\/120*(0 + 130\/15)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 - z**2 + z - 1. Let b be l(0). Let d be -2*(30\/(-4) - b). What is the greatest common divisor of d and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 4*h - 242, -2*k + 307 = 5*h - 6*k. What is the remainder when h is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(1\/8)*u*u\/u**(-1\/3)*u**(1\/4)\/((u\/((u**(-2)\/u)\/u*u))\/u)*(u\/u**2*(u**(1\/8)*u)\/u)\/((u\/(u*u**(1\/3)))\/u)**(1\/23) assuming u is positive.\nAnswer: u**(-51\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 309189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1\/131 - 139\/1048. Let t = 129 + -126.54. Let o = -2.56 + t. Which is the third smallest value?  (a) -0.4  (b) l  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-20)\/40)\/(1\/10). Let x be 72\/45*a\/(-2). Find the first derivative of -3 + 3 - x - 5 + 9*k**4 wrt k.\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 120954 and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**3 - 11*f**2 - 14*f + 19. Let a be l(12). Put 9, -4, a in decreasing order.\nAnswer: 9, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*c = 13*c - 5*q + 1409, 2*q - 2826 = -4*c. Is c a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*d + 5*p = 7*d, 5*p + 5 = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*n - 19 = -25 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6807564*a**3 - 4910*a - 480?\nAnswer: 40845384*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -5*v - 3*s + 8*s, 0 = 5*v + 3*s + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -4, 532, 3, 0, 4 in descending order.\nAnswer: 532, 4, 3, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**3 - 2*f**2 + 3*f - 1. Let x be j(3). Let v = x - -11. Solve -4*h = -0*h - 4*m, -2*h - v = 5*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9073156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -60947674.046 + 60999509. Let p = 51885 - c. Let w = -50 + p. Round w to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -g*j*v**3 + g*j*v**2 - 451*g*j*v - 2*g*v - 18798*j*v**3 - j*v**2 wrt v.\nAnswer: -6*g*j - 112788*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1982402?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - g - 18. Let r = g + -7. Let z(m) = 6*m**3 + 11*m**2 - 8*m - 11. Let s(t) = 2*t**3 + 4*t**2 - 3*t - 4. Give r*s(o) - 4*z(o).\nAnswer: -2*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 700408886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z + 5. Let n be g(-3). Solve -13 = -5*o - n*y - 0, y = o - 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tuhthhufhthufhuhut. What is prob of picking 1 u and 1 f?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 182*n**2. Let h(x) = 51*x + 102. Determine h(j(k)).\nAnswer: 9282*k**2 + 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*y - 2*y + j - 95999, 2*j = -4*y + 95998. What is y rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 64\/75 and 14\/225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 153 in -3, -0.3, 3, 1.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -476243.81796634 + 475823.81797. Let w = 420 + g. What is w rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3079.84 - 2999. Let x = r + 1.16. Let w = x + -81.9. What is the closest to w in -5, -4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + 4 - 1*4. Suppose -6 = -3*l + l. Solve 2*w = l*i - 5*i, m = -i - 5*w + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -493*p - 118881 = -612*p. Calculate the smallest common multiple of p and 216.\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 12*p**2. Let a(x) = -x**2 - 1. Let o(n) = 6*n**2 + 3. Let v(r) = -3*a(r) - o(r). Determine v(c(q)).\nAnswer: -432*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-680)\/952 - (-10)\/((-420)\/(-954))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b + 3. Let j be f(3). What is the third derivative of -426*g**5 + 8*g**j + 426*g**5 - 21*g**2 wrt g?\nAnswer: 960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 63 - 60. Suppose -2*h = -4*h - 4*i + 12, 3*h = j*i + 63. Suppose 0 = 9*m - 7*m - h. Solve -m = 3*x - 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 15*i**2 - 16*i - 49. What is the hundreds digit of l(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 41522718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20 + 24. Let i(p) be the second derivative of p**3\/6 + p**2\/2 - 64*p. Let t(d) = 0 + d - 1 + 3. What is o*t(h) - 5*i(h)?\nAnswer: -h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 192 + -190. Suppose d**2 - 4*d**4 + 5*d**4 - 3*d**r + d**4 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 22798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -215.6724*0.4.\nAnswer: -86.26896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z**3 + 58648*z**2 - 281270*z - 58600 = 0. Calculate z.\nAnswer: -1\/5, 5, 5860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 44\/198 + (75\/(-27))\/(-1). Suppose -z = -5*u + 2828, 3*u + q*z - 1707 = 7*z. Is 64 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3142 - 0.0858. Which is the smallest value?  (a) -6  (b) -3  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the second derivative of 3*c**4\/4 + c**3 + 99*c. What are the prime factors of n(11)?\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 500 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**3 - 6*z**2 - 5*z + 8. Let c(u) = -6*u**3 + 42*u**2 + 36*u - 57. Let d(q) = -2*c(q) - 15*x(q). Determine y, given that d(y) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(81\/(-60))*(-4524)\/(-260)*162\/(-36)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (144\/(-1260))\/(32\/336).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1480 - 1522 - (-1 + 2 + -11).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2140 and -5.2.\nAnswer: 11128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30 = -21*v + 20*v. Calculate the remainder when 88 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 5*q + 48 = -0*q, q + 6 = 0. Solve -f*m = 265 - 247 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = 2*d**3 + 1. Determine z(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 8*l - 5. Let x be k(4). Suppose 2*t - 274 = -2*s, s + 6*t = 3*t + 141. Calculate the highest common factor of s and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1562?  (a) -4  (b) 0  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 6*o**2 - o - 1. Suppose -2*y - 1 = 1. Let q be x(y). Suppose -12 = 2*u - q*u. Solve -4*r + 4*j + 12 = 0, -3*r + 4*j = -4*r + u for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -64 - 798384\/(-12480) - 2\/40?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 0*g - 124. What is the remainder when g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1761769 (base 11) to base 15\nAnswer: -3e097c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -4169 (base 10) in base 16?\nAnswer: -1049","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by -97547502\nAnswer: -1\/16257917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -554 - -549. Let v(q) = q**3 + 7*q**2 + 6*q + 5. Suppose -4*r - 10 = 5*u + 20, 3*u + 18 = 3*r. Let c be v(u). Put 1, c, s in descending order.\nAnswer: c, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 12232 + -210?\nAnswer: 12022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.069 - -28.069. Let b = -27.82 + d. Let l = 0.07 - b. Does 0.1 = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 98028884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 8099, 3, -0.1, -3, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/18 and (-23)\/(-36) + (-1)\/4?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 8*r - 198. Calculate o(22).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 3.5 - 4. Let v = 0.2 + u. Let k be (2\/(-12))\/(2\/3). What is the third smallest value in k, v, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9 + -221e79?\nAnswer: -221e83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 357.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -4*f - 13. Let g be c(-6). Let j = g + -9. Solve 3*n**3 - j*n**2 - 3\/2*n**5 + n**4 - 3\/2*n + 1 = 0 for n.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, r: 2, k: 1, z: 1, o: 1, w: 2}. Give prob of sequence work.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 - (45 + 0) - -41?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3574 = -9*d - 102*d - 11*d + 402 for d.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -44988 + 49150. Calculate the greatest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.751 - -2.58. Let m = j + 0.16. Round m to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s + 285. Let a(r) = -r - 283. Give -3*a(l) - 2*u(l).\nAnswer: l + 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*i**2 - 307 + 4*i + 155 - 4*i + 11 + 2*i**3 in the form p + z*i + c*i**2 + t*i**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 18*n**2 - n - 1. Let r be k(-1). Let a = r + -10. Is (3\/(-2))\/((-6)\/a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - -5 - -4)*425\/(-170).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-6825)\/(-26))\/25*7\/98)\/(9\/528).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 221963 is divided by 698?\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 100000 (base 2) to base 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -271 + 270.8. Let f be 1\/(-2) + 34\/(-4). Let r be (0 - -4)\/(f\/3). What is the closest to 3 in 5, p, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 130 + -130.3. Which is the third smallest value?  (a) 0.2  (b) -1  (c) s  (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 277245023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 58293*i**4 + 54*i**2 + 30*i + 8 wrt i.\nAnswer: 1399032*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 c when four letters picked without replacement from jppccucc.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/10)\/(-2)*(-615)\/(-492)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 - 59*t**4 - t + 2*t**2 - 1 - 19 + 57*t**4 + 3*t**3 to the form m*t + f*t**3 + y*t**2 + k + w*t**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 44*i. Let s be g(1). Let k = s - 35. Suppose 0*b + k*b = 1143. Is 33 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 7*l**2*m + 3*l**2 - 1343*l*m**2 - 35*l + 11*m**2 - 14685*m with respect to l.\nAnswer: 14*l*m + 6*l - 1343*m**2 - 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5847.23551 - -5337.234988. Let h = -510 - k. What is h rounded to 5 decimal places?\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 4, 2036.\nAnswer: 1, 4, 2036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 13) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 107583.\nAnswer: 3, 7, 47, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3609 + -14349\/4. Find the common denominator of 35\/16 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 38986*c**3 + 2*c - 5*c**4 - 38866*c**3 - 2*c - 115*c**2.\nAnswer: -5*c**2*(c - 23)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:33 AM and 4:21 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*b = 22*b - 54. Calculate the least common multiple of 16 and b.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -23.882 - -18.882. Let v = 3 - 3.3. Let g = -6 - -8. What is the closest to g in v, z, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/838 and -43\/132?\nAnswer: 55308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 150, 280, 410, 540, 670?\n\"Answer: 130*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15117 + 53701?\nAnswer: 71020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -45865520 divided by -172\nAnswer: 266660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.611 + -49.089. Let z = c + -98.5. What is z rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 - -7)*(-5)\/95?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7906, 28300, 61182, 106552, 164410, 234756?\n\"Answer: 6244*y**2 + 1662*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.70439107 minus -0.4?\nAnswer: 12.10439107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*t = 0, 0 = -i - 0*t + 5*t + 30. Suppose -44316 = -103*w - 20*w + 344610. Suppose 0 = -f - i*f + w. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 5408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*t**2 - 4*t**2 - 5*t**2 to the form h*t + o + n*t**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(-2)*j**(-5)*(j*j**1*j)**(-37) assuming j is positive.\nAnswer: j**(-118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-10 + 2)\/(-1) - 3. Let u(w) = 2*w**3. Let t be u(1). What is the first derivative of 3 + 10 + y*b**4 - 3 - t wrt b?\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 80556?\nAnswer: 80556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*t + 49*t - 3 + 118*t**2 + 3*t - 45*t**2 + 271*t**2 wrt t?\nAnswer: 688","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -148 - -142. Find the common denominator of (1885\/91)\/(1\/(7\/r)) and 95\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -218?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -3*a**2 - a + 2. Suppose -30 = 2*x - 26. Calculate k(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -4*q - 2. Let w be (-1*q)\/(6\/(-39)). Calculate the greatest common divisor of w and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*d - 52788 - 45671 = -2632*d - 31109 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 + j**2 - j + 2. Let y be u(0). Differentiate 5 - s**2 + s**2 - s**y with respect to s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6867 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - (10 + -21 + -5)) + (-1 - -3)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 7*z. Let p be 4\/(5 - 1)*2. Let u(a) = 3*a**2 + a**2 - 3*a**p + 0*a**2. Calculate v(u(r)).\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 8102*b**4 - b**2 - 263 wrt b.\nAnswer: 194448*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 10 + (-10 - 8) + 18 + 17\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that -c**5\/2 + 25*c**4\/2 + 1928*c**3 - 35354*c**2 - 171336*c = 0.\nAnswer: -59, -4, 0, 22, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 12 - 8. Let r(d) = -5*d**3 + d**2 + 10. Let h(i) = 9*i**3 - i**2 - 19. Let o(l) = 6*h(l) + 11*r(l). Calculate o(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*c**6 + 80930*c**5*n**2 + 7*c**2*n**2 - c**2 - 29*c*n**2 + c*n + 11*n wrt c?\nAnswer: -360*c**3 + 4855800*c**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*n**5 + 450*n**4 + 6785*n**3 + 22320*n**2 + 26060*n + 10080 = 0. What is n?\nAnswer: -72, -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 14005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 142 - 148. What is the smallest common multiple of 2 and k + (6 - 4) + 75?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(114)\/sqrt(6))**2 + 1 - sqrt(19)) + sqrt(228)\/(sqrt(96)\/sqrt(8)) - (sqrt(1216) + (sqrt(1216) + -5)**2 - sqrt(19) - sqrt(171)*2).\nAnswer: -1221 + 79*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**3 + 6*t**2 + 9*t + 13. Give q(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 296205*q - 6484. Is k(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -525, -523, -521?\nAnswer: -519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = 4*x + 32, 5*h + 3*x - 106 = 0. Calculate the highest common factor of h and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20 - 163*g + 164*g + 20.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 8612071891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -9, -3\/8, -18\/133?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:08 AM and 8:52 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -1036*t**2 - 2*t + 965. Let s(b) = 2073*b**2 + 3*b - 1933. Let o(p) = 7*m(p) + 4*s(p). What is the second derivative of o(l) wrt l?\nAnswer: 2080","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11, 8, 7, 8, 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1579120797.\nAnswer: 3, 526373599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is p in 2*p**5 - 12*p**4 - 6*p**3 + 40*p**2 - 24*p = 0?\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (322\/315 - 2\/9)*(-8460)\/(-72). Let i = -1 + 1. Suppose i = -5*v + 5, 5*r - 2*v = 129 + k. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 163046 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1\/258 - -28117\/1290. Let j = o + -112\/5. What is the smallest value in 5, j, 0.09, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/15?  (a) -0.2  (b) -3\/4  (c) 145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 682 + 132*b - 682.\nAnswer: 132*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -156, -5, -2 in descending order.\nAnswer: -2, -3, -5, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*m**2*s**5 - 261*m**2*s**3 + 3*m**2 + 30*m*s + 2*s wrt s.\nAnswer: 100*m**2*s**3 - 1566*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69944 = 17*b - 4*b + 26017. What are the prime factors of b?\nAnswer: 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 21591*u + 2029. What is the thousands digit of j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -46*n**3 + 173*n**2 - 403*n - 571. Let d = 9 - 3. Let j(p) = -8*p**3 + 29*p**2 - 67*p - 95. Let s(t) = d*z(t) - 34*j(t). Let s(b) = 0. What is b?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7325 or 7324?\nAnswer: 7324","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 523728?\nAnswer: 2, 3, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, y: 18}. What is prob of picking 1 r and 1 y?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9267, 18533, 27799, 37065?\nAnswer: 46331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12 - 9236?\nAnswer: -9224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 7:04 AM?\nAnswer: 6:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, 2.4, -2 in increasing order.\nAnswer: -2, 2\/13, 2.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 4, 4*o - 4*x = -6 + 34. Suppose -2*k + 2384 = 3*y, o*k + 5 = 2*k. Is y a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/877492 and 17\/282051.\nAnswer: 7897428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -102 divided by -206\nAnswer: 51\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -190245*o. Let u(a) = a**2. Give u(n(x)).\nAnswer: 36193160025*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-39 - 40 + 75)*(-3*t - 5*t + 6*t - 2).\nAnswer: 8*t + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -16, -17, -18, -13, 4, 39, 98, 187?\n\"Answer: b**3 - 6*b**2 + 10*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = j**3 - 42*j**2 + 23*j + 384. Calculate p(40).\nAnswer: -1896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -120 - -120. Solve m*s - 32 = -8*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 739 - 1140. Let h = -273.062769 + -127.937569. Let t = h - v. What is t rounded to 5 dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 8) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -4, 10, 48, 122, 244?\n\"Answer: 2*c**3 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3 minus 33547.71?\nAnswer: -33547.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00060161 rounded to five dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 311 = -3*t - 352. Let x = t + 277. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72 and 216?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 573 + -297. Suppose -h - 327 = -4*f + g, 3*f + 3*h - 471 = 0. Is 76 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -17*w**3 + 38*w**2 + 11*w + 193. Let v(x) = -8*x**3 + 19*x**2 + 5*x + 96. Let f(a) = 6*d(a) - 13*v(a). What is the second derivative of f(o) wrt o?\nAnswer: 12*o - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - 34*n**2 + 396*n - 30. Let t be x(9). Calculate the highest common divisor of t and 14841.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 427 or 430?\nAnswer: 427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 + 1 - (-813)\/3. Suppose 0 = -5*o - 5*p + 640, 6*o = 4*o + p + f. Calculate the greatest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 6*p = -3*p + 15, r = -p + 3. Let c(i) = -3*i**2 - 2*i + 2. Let a(k) = 82 - 3*k - 3*k**2 - 39 - 40. Calculate r*c(y) - 2*a(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 38716 bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 14\/(-6)*(-7 - -4). Let c be (-57)\/21 + (-2)\/n. Are c and -10\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (-1 - (0 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 3, -5, -10.\nAnswer: -10, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2497\/522 + 208\/29. Find the common denominator of z and -15\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 55 - 50. Suppose 0 = -2*j - 4*n + 13 + 11, 24 = 4*j + 2*n. Let l = -3026\/7 - -432. What is the nearest to j in -2\/21, l, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 - 78*c**2 - 634*c - 117. Let u be s(-9). Factor 2\/7*l**4 + 18\/7*l**2 + 0 - 20\/7*l**3 + u*l.\nAnswer: 2*l**2*(l - 9)*(l - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -166, -159, -146, -127, -102?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-8)\/12)\/((-11)\/(-3102)). Sort 1, -4, 3, j in ascending order.\nAnswer: j, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 531 - 374. Suppose 160*v - 609 = z*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -495 (base 10) in base 2?\nAnswer: -111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -95\/7738 or -0.2?\nAnswer: -95\/7738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (6 + 5)\/(4\/48). Let m = 134 - u. Solve -m*z - 6 = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 3782739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*n = -5*n + 210. Calculate the remainder when n is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 11:53 PM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(1\/2))**(3\/20) assuming c is positive.\nAnswer: c**(3\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 2*o - 18. Factor -o*y**2 + 11*y**4 + y**2 + 2*y**2 - 2*y**4 + 9*y - 3*y**5 - 6*y**3 - 3.\nAnswer: -3*(y - 1)**4*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -4*f - 2. Let v be f + 5 - (-1 + 3). Let o(q) = 5*q - 1. What is o(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6 or -13763?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 30339776 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 40*n - 218 - 58 - 244. Solve -q = 8*c - n*c - 6, 4*c = 2*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**2 - 8*o + 5. Let u be v(5). Let g be ((-3)\/(-9)*3)\/(u\/110). Is 1\/3 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 49 and 4473.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 2*n + 2*f - 105, 4*n = -3*f + 395. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -2*a + 22. Let z be ((-162)\/63)\/(6\/(-28)). Let c be x(z). List the prime factors of c*(-3 - 268\/8).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -7\/4*u + 5\/4*u**2 - 1\/4*u**3 + 3\/4 = 0. What is u?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**(-1\/2))\/(s**(-1)*s*s)*(s*s**1\/s)**(-42) assuming s is positive.\nAnswer: s**(-83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**2 + 77*i - 408. Let l be d(29). Calculate the highest common factor of l and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73*u = 3*h + 78*u - 28, 3*h - 2*u + 7 = 0. Solve -h = -37*i + 38*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1290 + -1262. Solve 61 = -p*i - 51 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**2 + 6. Let o be r(0). Let l be 54428\/o + 14\/21. Let j = -5572 + l. What is j rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the third derivative of -2\/3*n**3 + 0*n - 9*n**2 + 0 - 1\/12*n**4. Give f(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2290807 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 32*a - 15. Let g be f(13). Suppose -b + 3*i - 53 = -255, 2*b - 3*i - g = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 144047 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 557442 to the nearest one thousand.\nAnswer: 557000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -73215375 by -4881025.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -139\/60 and 113\/252?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 134 - 132.7. What is f rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1509295 and 790.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -314\/17, -1\/69 in descending order.\nAnswer: -1\/69, -4, -314\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 + 12. Let u = -8758\/11 + 796. Which is the second biggest value?  (a) n  (b) 2\/9  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1202 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4 - (0 + 22))\/2. Let f = h - 3. Let a = f - -18. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, u: 18}. Give prob of sequence kk.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p + 6. Let w be (11 - 12)\/(3 - (-40)\/(-14)). Let u(j) = 5*j + 13. Give w*l(f) + 3*u(f).\nAnswer: f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6.51 - 0.49. Which is the nearest to 1?  (a) -0.3  (b) 0.2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/(-12)*(-80 - -74) - 48\/2.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i + 8*i + 1 + 0 - i**2 + 4*i**2. Is b(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xyxb when four letters picked without replacement from bbfxbfbbbbfxfbbbbfy?\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/133042532 and -79\/56.\nAnswer: 266085064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(98) + -1 + sqrt(98) - sqrt(98))*3 - (sqrt(98) + 2*sqrt(98))*-6)**2.\nAnswer: -882*sqrt(2) + 43227","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 2\/3*30\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = 93*o + 274. Let d be p(-3). Suppose -4*n + 32 = 4*q, 0*n + 4*n = 12. Sort q, 4, d in decreasing order.\nAnswer: q, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 1672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-13 - (-13 + -27))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 780 and 96?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -5 - 0 - (50 + -50).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2772872 divided by -8\nAnswer: 346609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 + -34 + 4030\/78?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-26) - 1643\/403. Put 32, o, -3, 4 in decreasing order.\nAnswer: 32, 4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0 + (2*-1 - -2). Suppose 4*m - 5 + 1 = d. Solve 2*b - 11 = -m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-470*f - 621*f - 2031 + 1093*f)*(2*f**3 - 3*f**2 + 3*f**2) to s*f**4 + c*f + i + q*f**3 + l*f**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 155*n - 1884 - 1061 for n.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the first derivative of -13*d**4\/2 + 13*d**3\/3 - 8. Find the third derivative of c(n) wrt n.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -87 + 123. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**3 + 12*u**2 + 5*u + 58. Let a(v) = -4*v**3 - 23*v**2 - 9*v - 113. Let b(g) = 4*a(g) + 7*h(g). Does 11 divide b(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-c**2 - 2*c**2 + 2*c**2)*(91*c**2 - 47*c**2 - 46*c**2)*(-5 - 5 + 1) in the form d*c**4 + l*c**2 + x*c + a*c**3 + k and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3*n**2*q**2*x + 3*n**2*x**3 + 2*n*q**2*x**3 - 16*n*q**2 wrt n?\nAnswer: 6*q**2*x + 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**3 + 14*v**2 + 41*v + 105. Calculate the remainder when z(-6) is divided by 96.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43649 + 8297 = -12*g. Suppose -77*d + 83*d - g = 0. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j - 1 = -7*j. Solve -j = -x - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2 - 39*d + 1014.\nAnswer: -3*(d - 13)*(d + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -668, -1195, -1722, -2249, -2776?\nAnswer: -3303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22909?\nAnswer: 31, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from apbbpzbaezpebbppbbb. Give prob of sequence pazp.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 7) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (24 - 6895 + 323)*(0*l + 3*l - 4*l) as q + n*l and give n.\nAnswer: 6548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 17 - 1 = -2*r, -5*o + 2*r = 20. Let t = -4 - o. Solve -16 = -5*c + 2*j - 5*j, -4*c + j + 23 = t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 1 = 0, 4*d - 4*y - 1637 = d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 0.05, 305\/13, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21451594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7025 is divided by 2286?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-320)\/5*2\/4. Let m be 2\/(-8) + (-168)\/j. Solve m*p + 3*h + 11 = -0, -5*h + 19 = -p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82.8981 rounded to one dp?\nAnswer: 82.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -10200311 (base 4) in base 12?\nAnswer: -a845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5155*g**4 - 61*g**2 + g + 4732434.\nAnswer: -61860*g**2 - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*i**2\/3 - 11980*i\/3 + 17940050\/3.\nAnswer: 2*(i - 2995)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-2) - (-6)\/4. Let m be (-112)\/(-18) + 2\/(-9). What is the third derivative of n**2 + y - 2 - n**m + n**2 wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 126255, 252961, 379661, 506355?\nAnswer: 633043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z + 4 = 40. Put -3, 4, -4, z in descending order.\nAnswer: 4, z, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*k + 4*i + 36, -3*k - 283*i = -285*i + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the second derivative of -7\/2*y**2 + 2*y + 0 - 1\/6*y**3. Give f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -37\/39252 and 17\/192.\nAnswer: 628032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 364 (base 13) in base 5?\nAnswer: 4324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -129*s + 640. Give r(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78248 is divided by 5214.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = -5*s + 2*z, 2*z = -2*s - 2*s - 0*z - 6*z + 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1114 + 1132 = -3*m, 2*i = -m - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 133299829.\nAnswer: 13, 10253833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((454584\/(-117))\/(-188))\/(1\/(-3)*1)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 830.0988 - -61.63\nAnswer: 891.7288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 0 - 15) + 2293 + -2248?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -17413 (base 11) to base 10\nAnswer: -24456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**(-1\/10)*x))\/((x\/x**(-2\/3))\/x))\/(x*x**(-3\/4)*x*x*x*x\/(x*x**(2\/9))) assuming x is positive.\nAnswer: x**(-647\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**4 - 91420*b**3 - 914301*b**2 + 91420*b + 914300 = 0. Calculate b.\nAnswer: -10, -1, 1, 91430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -211*m + 4220. Let v be d(20). Put v, -0.8, -1.374 in ascending order.\nAnswer: -1.374, -0.8, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) + sqrt(275) + 1 + -3*(sqrt(11) + sqrt(176)))**2.\nAnswer: -18*sqrt(11) + 892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + sqrt(7) + sqrt(7) + -1)*-1)**2.\nAnswer: 8*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -5*n + n. Let l be n*(16\/7 + -2). Let v = 4 - 3.8. Which is the third biggest value?  (a) l  (b) v  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 12694 and 42306.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -1799  (c) -0.01  (d) -10  (e) -2  (f) -0.3  (g) -2\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -2. Let r = 1 + -6. Let f = 37\/54 + -1\/54. Which is the nearest to t?  (a) 4  (b) f  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160 = -3*o + 4*m + 168, -5*m - 10 = -2*o. Let t be 2\/(-21) - 33\/(-77). Factor t + o*h - 1\/3*h**2.\nAnswer: -(h - 1)*(h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:18 AM and 5:04 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77 = 6*u + 7. Let h = u - 0. Let m(j) = -59*j + 27. Is m(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/6, 4, 0.9, 137, 5 in increasing order.\nAnswer: -1\/6, 0.9, 4, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-37*a + 17*a - 55*a)*(4*a**2 - 2*a**2 - a**2) to the form m + f*a**2 + c*a + n*a**3 and give n.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that b**4\/8 + 11*b**3\/4 + 111*b**2\/8 - 11*b\/4 - 14 = 0.\nAnswer: -14, -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 178 = 3*h + 168, 5*b - 4*h = 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 403, 383, 355, 319, 275, 223?\nAnswer: 163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 21, 26, 35, 48, 65, 86, 111?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*w + 12*w - 44*w.\nAnswer: 38*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1324203 - 2211?\nAnswer: 1321442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -214246167 - 2?\nAnswer: -214246169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-7)\/((-17731)\/(-264))*(-27)\/(-18). Let m = n + -3\/149. Does m = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*d = -148*d - 6527. Let g(s) = s**3 - s - 103. Let r be g(0). Let c = d - r. What is c rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:11 AM and 8:31 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -32049522 or -32049523?\nAnswer: -32049522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 1939*q**6 + q**5 + 51*q**2 + 7. Let p(j) = j**5 - j**2. Let g(z) = -b(z) + p(z). What is the third derivative of g(w) wrt w?\nAnswer: -232680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5854667869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 12878*d**2 + 3*d**4 - d**4 + 22*d - 12879*d**2 as q*d + k + h*d**2 + o*d**4 + l*d**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:51 PM and 12:48 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 12 - 10 - (1 - -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*v - 44 - 83 = 68 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.04 - -0.18. Suppose -615 + 580 = 7*f. Let q = -1316\/9 + 146. What is the smallest value in o, q, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let u = -93 + 176. Let k = 165 + -111. Let z = u - k. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 319 = -x - 1956, 5*n - 11375 = 5*x. Let b = x - -13733\/6. Let z = -309\/62 + 3665\/527. What is the common denominator of b and z?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4\/((-1 + -4)\/(175\/(-70))). What is the greatest common factor of n and 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -106, -224, -342, -460?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 123 - 120. Suppose -3*o + 4*o - 2*a + 2 = 0, 0 = -4*o + 4*a. Solve 3*s - o*s + w*c - 9 = 0, s + 5*c - 17 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 173\/5396190 and 59\/2274.\nAnswer: 2045156010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13420 + -16056?\nAnswer: -2336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, x: 1, e: 10, o: 3, z: 2}. What is prob of sequence xe?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-188.\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c + 33 = -3*c. Suppose -h - 4*h = -t + c, 3*t = -4*h + 128. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-100 - (-156 - -66)) + 68?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 3*w + 3*m = -3, 4*w - 4*m - 44 = 0. What is the remainder when 38 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33332 and 11245?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 681 - 234 = 0. Let c = -334 + f. Let b = 220 + c. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1149 - -1149.2. What is the closest to 1 in 0, u, -0.1, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -27 - -22. Let u = y - -6. What is the second smallest value in 0.1, 2\/13, u?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 35 + 153 = 0. Let r = p - -70. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find g such that 22*g**5\/5 - 224*g**4\/5 + 568*g**3\/5 - 116*g**2 + 242*g\/5 - 28\/5 = 0.\nAnswer: 2\/11, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*l + 2 = 2*s, 5*l = -3*s + 6*l + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1152395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14.027 - 0.023. Let x = -14 - t. Let y be (-36)\/(-27)*(-4)\/(16\/(-6)). Which is greater: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28216027.\nAnswer: 7, 47, 139, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of -1\/42*r**5 + 0*r + 4\/21*r**3 - 2\/21*r**4 + 26*r**2 + 0. Factor s(p).\nAnswer: -2*(p + 2)*(5*p - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5128687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of -59*c**5\/5 - 34*c**3\/3 - 54. Find the third derivative of f(u) wrt u.\nAnswer: -1416*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6209 + 6204. Which is the fifth smallest value?  (a) 3  (b) 0.01  (c) s  (d) -0.4  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n + 2 = 137. Suppose 0 = -6*p + 9*p - n. Is (3\/p)\/(3\/477) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in six fifths of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*p = 212 - 507 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25\/25*3*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 54 + -49. Solve 5*z = 2*o - 15, p*z + 4*o = o - 15 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the first derivative of 0*q**4 - 14\/3*q**3 + 18\/5*q**5 + 0*q + 0*q**2 + 26. What is the third derivative of f(k) wrt k?\nAnswer: 432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 54\/(-153)*61\/(-122)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -1563*d**2 - 6*d + 66. Let z(l) = -1565*l**2 - 7*l + 60. Let v(h) = 4*m(h) - 3*z(h). Find the second derivative of v(q) wrt q.\nAnswer: -3114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34441*6.\nAnswer: 206646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l**5\/3 + 21785*l**4\/3 - 16346*l**3\/3 - 27232*l**2\/3 + 16342*l\/3 + 5447\/3 = 0. Calculate l.\nAnswer: -5447, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1190 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -774 - -366. Let t = -1056 - c. Is 1 - -2 - t\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 3*j - 18. Let h be y(8). Solve d + 2*d - h = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3.95 + -0.05. Let y(w) = -w**3 - 6*w**2 - 7*w - 11. Let l be y(-5). Which is the third smallest value?  (a) z  (b) -2\/3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 4, s: 6, j: 5}. Give prob of sequence uusj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36086 is divided by 161?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23361.\nAnswer: 3, 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6bb8 (base 14) to base 8.\nAnswer: 44536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2*p**2 - 95*p + 467. Calculate z(33).\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/(-18)*8\/12.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 0, 35, 66, 93, 116?\n\"Answer: -2*t**2 + 41*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17 + 30. Let v = -9 + b. Solve 2 = v*u + 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 77.33051 decades to centuries.\nAnswer: 7.733051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hiiihmuimziiviihii. Give prob of sequence uzhm.\nAnswer: 1\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -g + 46, -4*g + 232 = g - 3*a. List the prime factors of g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (6\/(-90))\/((-72)\/4806) and -2 - (2 + 58\/(-8)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 39 + -9. Calculate the remainder when 116 is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 182 + -180. Which is the third smallest value?  (a) t  (b) 0  (c) 12\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -56 - -105. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 3*g**3 + 9*g**2 + 13*g + 2. Let o(n) = 7*n**3 + 14*n**2 + 25*n + 4. Calculate -3*o(y) + 5*q(y).\nAnswer: -6*y**3 + 3*y**2 - 10*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.5  (b) 13809  (c) 1  (d) 2  (e) -15\/71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, a: 1, v: 2, d: 3}. Give prob of picking 1 y and 1 v.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 19*u**2 + 25 - 9*u**2 - 5*u**2 - 4*u**2 - 22 - 8*u. Let k be -1 + (-4 + 22)\/2. Calculate t(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 14*m**6 - 58*m**5 - 4*m**4 + 3*m**2 + 3400*m wrt m?\nAnswer: 1680*m**3 - 3480*m**2 - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 237*j - 117*j - 123*j - 2.\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1021, -1018, -1015?\nAnswer: -1012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51 is divided by (1 - 6)*72\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.7 + -0.4. Let q = b + -0.3. Let u = 0.4 + -0.7. What is the nearest to q in u, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 512 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = n - 3*z, -4*n + 15 = -n - 4*z. Suppose -3*s + g - n*g = -2, -5 = -s + 3*g. Solve 3 + s = u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*p**3 - 3*p + 3*p)*((p - 3*p + 5*p)*(-236 - 145 + 623 - 2*p) - 3*p - p**2 + 3*p + (4*p - 2*p - 4*p)*(4*p - 2*p + 0*p)).\nAnswer: 44*p**5 - 2904*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-13)\/39 - (-7)\/3. Suppose -5*w + q + 18 = 0, -c*q - 12 = 2*q. Suppose 27 = w*n + 18. Solve 4 = -4*k + 4*v, 0*k + 7 = k + n*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*-2*-1)\/((2*sqrt(77))\/sqrt(11)) + -4*-6*sqrt(272)*1)**2*2.\nAnswer: 620177\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2*(-6*(1*(-3*sqrt(720) + -3) + -1))**2 + -4).\nAnswer: -2338540 - 103680*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of g**5\/30 - 9*g**4\/2 - 55*g**3\/3 - 481*g**2. Factor i(m).\nAnswer: 2*(m - 55)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*q**5 + 14835*q**4 + 402762*q**3 - 1621407*q**2 - 909540*q = 0. What is q?\nAnswer: -2445, -31, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 + -21 + 1 + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -117*m - 108*m - 26*m = -4016 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12870 and 9642.\nAnswer: 20682090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-84.74.\nAnswer: 254.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -35\/2 and 59\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 54960706 is divided by 1978?\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w, 1 u, and 1 o when four letters picked without replacement from uwuuuwuuouwwuui.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) -2  (c) 63\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 24 = -6*h + 7*h, 0 = 4*b - 3*h - 8. What is the second derivative of 4*c**b - 5*c**5 + 12*c + 4 - 2 - 10*c**5 wrt c?\nAnswer: -220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + (-5 - -2) + 0 - -3) + 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 3*u = 9, u = -3*m - 3*u + 12. Suppose h = m, -3*h - 9 = -7*o + 4*o. Suppose 4*a + o*c = 139, a - 13 = 3*c + 18. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -v**4\/48 - v**3\/4 - 9*v**2\/8 - 4*v. Let c(f) = 0. Calculate f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.20615 + 0.597. Let b = -0.39 + l. Round b to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 637199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.021*-3.2.\nAnswer: -0.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/18 + 182\/(-4). Suppose 13 - 243 = 5*u. Let r = u - d. Which is the closest to 0.2?  (a) -0.5  (b) r  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -10*x**2 - 18*x - 32. Let p be g(-14). What is p rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1001011100101 - 110010?\nAnswer: 1001010110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 6*q - 3*q = -450, 5*p + 757 = 2*q. Let g = -45 - p. List the prime factors of g.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4852.3227 - -0.3\nAnswer: 4852.6227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 180691 and 622?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1364808126 to the nearest integer?\nAnswer: 36943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**2 - 21*c + 37. Let q be j(34). What are the prime factors of 5 + (-1)\/(-1)*q - 1?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes before 4:12 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -33279 bigger than -565730\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1.85865*-0.07\nAnswer: -0.1301055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4  (b) -50  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Are 156870 and 156869 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 194*x**3 + 20*x**4 + 16*x**5 - 20*x**4 + 8*x - 144*x**4 + 16*x**5 - 72*x**2.\nAnswer: 2*x*(x - 2)**2*(4*x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -163*k**3 - 41*k**2 + 113*k + 95. Is n(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 5 and ((-1)\/(-3))\/(-1)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v - 2*v = 8. Suppose -v*w + 6 = -2*z, 3*z = -2*w - 2*w - 9. Suppose 4*c - 6 = q + 10, 4*c - 3*q - 24 = w. Solve -c*o = 2*o - 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -5*p**2 - 520*p - 13520 = 0?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1679?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 710  (b) 34  (c) 2288\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 18 + (-1040 - -1004).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -2  (b) -8  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 70, 8 in increasing order.\nAnswer: -3, 8, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.8 - 1. Let i = -0.2 - p. Suppose 2*s - 5*f = -s - 35, 3*s + 31 = 4*f. Which is the biggest value?  (a) i  (b) s  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/3 in 0.5, -0.3, -129, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1883.823 rounded to the nearest 100?\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 860 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v + 2*v - 24. Let f(n) be the first derivative of -1 + 0*n + 0*n**3 - 1\/2*n**2 + 3\/4*n**v. What is the second derivative of f(b) wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 43?  (a) -171  (b) -2  (c) 1  (d) -6  (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -298 - -312. What is the greatest common divisor of 112 and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1370.\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 + 15 + -3 + 4 - (6 + -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 19*i**2 - 17*i - 17. Calculate o(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 2036*d - 47. Let v(j) = -6104*j + 124. Calculate 8*m(y) + 3*v(y).\nAnswer: -2024*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00491526433 rounded to seven dps?\nAnswer: 0.0049153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 4, -0.2, 1.5255, -1\/4 in increasing order.\nAnswer: -0.5, -1\/4, -0.2, 1.5255, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -u**2 + 16*u - 28. Let f be r(14). Suppose 23 = 4*b - f*b + 3*a, -b - 13 = -3*a. Solve 26 = -b*c - 0*c + 4*o, 5*o - 25 = c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -774 times 239.29\nAnswer: -185210.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 8:39 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*i + 11*i + 13*i)*(40*i**2 + 74*i - 74*i).\nAnswer: 640*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(((sqrt(325) + 1 + sqrt(325))**2 + sqrt(13) - sqrt(13)) + 2 - ((sqrt(13) - -1*sqrt(325)) + (sqrt(78)*2)\/sqrt(6))**2).\nAnswer: -1884 - 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 127163 (base 9) to base 11\nAnswer: 53185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5.94 - -6. Let q = -14 - -12.94. Let n = q + j. Is -1 equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kccdcctcnhc. Give prob of picking 1 d, 1 n, and 1 t.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 86456 divided by -2\nAnswer: -43228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -133, -136, -139, -142, -145, -148?\n\"Answer: -3*h - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -50 (base 13) to base 4\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*f - 25*f - 18*f**2 - 9076*f**3 + 23*f + 9074*f**3 = 0 for f.\nAnswer: -6, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j + 3 = -2*t, -7*t - 1 = -5*t + 5*j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m**3 - 1326*m**2 - 142464*m + 903168 = 0. Calculate m.\nAnswer: -224, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.32 - 1.02. Let i = 229.9 + -230. Put 4, i, v, 2\/23 in decreasing order.\nAnswer: 4, 2\/23, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**3 + 5*d**2 + 5*d + 3. Let k(t) = 2*t**2 + 2*t + 1. Calculate 2*h(p) - 5*k(p).\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1.7  (b) 0.4  (c) 4508  (d) -2\/5  (e) -0.1  (f) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12889, 25787, 38683, 51577, 64469, 77359?\nAnswer: 90247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 4*a**2 + 5*a + 12. Let q be t(-8). Let r = q - -423. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, n: 1, q: 1, i: 1, l: 1}. Give prob of picking 1 l and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -33 + 232?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 25 and 475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*g**2*i*s**2 + 98*g**2*i - 2*g**2*s**3 - 2*g**2*s**2 + 39*g + i*s**3 wrt i.\nAnswer: 3*g**2*s**2 + 98*g**2 + s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-147)\/6*33*170\/3927\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 1348*p - 51636. Give n(38).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4*1*(-2)\/(-4). Let d(s) = -s - 1. Let r be d(l). What is the units digit of (-4)\/r*(-6)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 5 = -7. Solve 4 = w + 7*z - 2*z, 0 = w + 4*z - q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 3 r when four letters picked without replacement from {o: 2, w: 2, r: 5, v: 4}?\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from razzaararazaaazzraaf. Give prob of sequence rfza.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x - 2*x = 2*a - 12, 5*x = 10. Let j(y) = a*y + 15 - 2*y - 10. Suppose -3*i - 4 = -2*i. What is j(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6 - 1 + 6)*(-1 - 3 + 3) + (2 + 0 + 0)*(6 - 1 - 4))*(-2 + 1 + 4)*(d + d - 3*d + (-1 + 1 - 2*d)*(2 - 6 + 2) + 1 - 1 + d).\nAnswer: -108*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2121 rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*w - 5*w = 20. Factor o**2 + 88 + 2 + 8 + o**w - 28*o.\nAnswer: 2*(o - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -2*d**3 + d**2 + d. Let y be n(2). Let k be (2\/y)\/(48\/(-20)). Sort 5, -1\/6, k.\nAnswer: -1\/6, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**3 + 4*h**2 + 2*h + 1. Let w be i(-3). Solve -3*j = 5*q + 12, -w*q + j - 21 = -8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bzzzbbzbbbbbzzzbbzz. Give prob of picking 4 b.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -138 + 133. Let z = -27.6 - -32. Let n = 14.35 + -14.05. Which is the third smallest value?  (a) m  (b) z  (c) n  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4504 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the third derivative of 1\/24*d**4 + 1\/8*d**8 + 0*d**5 + 0*d**7 + 0 - 5\/6*d**3 - 4*d**2 + 0*d + 0*d**6. Find the second derivative of r(y) wrt y.\nAnswer: 840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 13*a**2 - 5*a - 2. Let p(i) = 20*i**2 - 8*i - 3. Calculate -8*h(k) + 5*p(k).\nAnswer: -4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**2 - 4229*w - 42346. Calculate z(-10).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**2 + 2*d - 2. Let i be p(-5). Suppose 2*u - i + 2 = 0. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 866*s**2 - 136 - 48*s**2 + 134 - 7*s**2 - 6*s + 6*s + (0*s + 3*s - 5*s)*(s + 2 - 2).\nAnswer: 809*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-6) - (-2 + 3\/(-2)). Suppose -10*w = -k*w - 35. What is the remainder when 48 is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c - 3 + 3. Let j = -4 - -6. Let k(r) = 2*r**2 - 2*r**2 - j*r**2 + 3*r**2. Determine k(p(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -200621*z**2 - 409*z - 10. Let l be c(-14). What is l rounded to the nearest 1000000?\nAnswer: -39000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 - 9*n**2 - 11*n - 454. Determine w(-15).\nAnswer: 1061","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104)\/(-2*sqrt(8)) + -3 + -4 - (3 + sqrt(52) + -4 + sqrt(52)*-4))**2.\nAnswer: -66*sqrt(13) + 1717\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 - 4*i + 21. Let r be b(0). What are the prime factors of ((-301)\/r*-2)\/(4\/6)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -w**3 + 9*w**2 + 13*w + 4. Let h be m(9). Suppose -2*p = p - 4*d + 271, -2*p = 3*d + 158. Let u = h + p. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 3*c + 5*t = 25, -t = 5*c - 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 141 + -246. What are the prime factors of w\/(-12) + (-2)\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (3*sqrt(57))\/sqrt(3))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -1\/4  (b) 2\/9  (c) -0.1  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 2 + (-3 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -0.2, 8\/7, -5, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2177 (base 8) to base 5.\nAnswer: -14101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -3a02 (base 15) to base 5\nAnswer: -344002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (33 + -15 + (6 - 2) - 16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -0*t + t, t = 2*s + 9. Let h(x) = x**3 + 6*x**2 + 2. Let c be h(s). Suppose -2*q - c*a + 22 = 0, 5*q - 3*a + 6*a = 59. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100011011111 - 100?\nAnswer: 100011011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, -22, 3, 0 in increasing order.\nAnswer: -22, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1766539.5217 rounded to the nearest 10000?\nAnswer: 1770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5069\/6 - -848. Let r = 5207 + -41591\/8. Calculate the common denominator of r and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 35*b + 143. Calculate the lowest common multiple of r(3) and 248.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from rvvvoqsvvvjqvvvjjqv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -161 - -285. Let h = 187 - f. What is the greatest common factor of 567 and h?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p - 18 = -q, -77*q - 79*q + 24 = -154*q - 4*p for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/11 and 32\/23.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1780 and 145668970.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -50174 + 50174.4. Let h = -1 + 0. What is the closest to x in -1\/12, 5, -4, h?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 p, and 1 n when three letters picked without replacement from fnnpffppfffpffnfnff?\nAnswer: 176\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 39610136 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 58332462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -131 - -218. Suppose 0 = -3*g - 141 + f. What is g rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 80*r**3 + 78*r**2 - 9*r + 9. Let q(v) = 34*v**3 + 33*v**2 - 4*v + 4. Let c(g) = 8*l(g) - 19*q(g). Let m(d) = -d**2 + d. What is c(y) - 4*m(y)?\nAnswer: -6*y**3 + y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 404457 divided by -1.\nAnswer: -404457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*b - 282 = -40 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -49, -2, 36464, 5, -4, 1 in descending order.\nAnswer: 36464, 5, 1, -2, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98450976?\nAnswer: 2, 3, 13, 78887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 599173711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 3*w, -u = -4*u - 4*w - 17. Let c be ((-150)\/(-105))\/((-24)\/14). Let y(o) = o**2 - 26. Let m be y(5). Sort u, c, -3\/5, m.\nAnswer: u, m, c, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 93*a**2 + 19*a - 80. List the prime factors of n(24).\nAnswer: 2, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 6, -5*h + 514 = 4*r - 761. What is the greatest common factor of 168 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.74 + -0.26. Let x = 28 - 22.6. Let a = z + x. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2490 - 2501 + 7492 - 2501 - 22*g.\nAnswer: -22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -4, -0.5, 1 in ascending order.\nAnswer: -4, -0.5, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 58\/135 and 145\/54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-1\/9)*(a*a**(-6)\/a*a)\/a assuming a is positive.\nAnswer: a**(-55\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*64\/(-10) - 7*(21 + 9 + -31)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -s**6 - 4*s**2 - 3. Find the second derivative of a(d) wrt d.\nAnswer: -120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 7) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**3 - 96*j**2 + 1110*j - 2900.\nAnswer: -2*(j - 5)**2*(j + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35728 is divided by 2748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -87, 1, -1 in increasing order.\nAnswer: -87, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - 151 = -7. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 - (-2 + (-6 - (3 - 6)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 510 divide 1512660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11401723 is divided by 203.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 (base 5) in base 12?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -658 + 677. Let a(q) = -n*q + 1 - 23*q + 41*q. Let i(l) = -l**2 - 4*l. Determine -3*a(v) + i(v).\nAnswer: -v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 3*r + 6 = 0, -3 = -r - 1. Let z be 2 + h - (-27 - -26). Factor -95*g**3 + 125*g**2 + 9 + 2 + 35*g**4 - 5*g**5 - 80*g - z + 12.\nAnswer: -5*(g - 2)**2*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39338 - 2.5?\nAnswer: 39335.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/32360 and 35\/809?\nAnswer: 32360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -191.9096685 to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 19. Let t(r) = -5*r**2 + 21*r - 5. Let h(w) = -w**2 + w + 1. Let i(n) = 6*h(n) - t(n). Does 18 divide i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 54*b**3 - 101*b**3 + 49*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/47737789 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.03 * 3512.68.\nAnswer: -105.3804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*k**3\/4 - 192349929*k**2\/2 + 769399725*k\/4 - 96174966 = 0. Calculate k.\nAnswer: -128233288, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-100)\/(-70))\/(19 + (-2430)\/126)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04437165347 rounded to 6 dps?\nAnswer: -0.044372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of 0*l**4 + 9*l**2 - 4\/3*l**3 + 0 + 0*l + 0*l**5 + 1\/40*l**6. What is the first derivative of x(q) wrt q?\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 17\/448 and 57\/212.\nAnswer: 23744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**2 + 1. Let x = -33 - -35. Let z be k(x). Suppose -2 = z*g - 2. Solve g = 3*h - 3 - 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - o - 40 = 0, -34 = -d + 2*d - 2*o. Suppose -2*j = 5*t - 0*j, -3*j - 23 = -4*t. What is the common denominator of t\/(-4) + (-21 + -4 - -8) and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 330 and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 162053929873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -314*t = -313*t + 4*f - 32, 0 = -4*t - f + 8 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38 is divided by ((-30)\/45)\/(1\/15*-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from iiiiiiiiiiidiiiiiid.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/((-15)\/(-12)*(-2)\/5). What are the prime factors of (22 + k*-1)\/((-11)\/(-33))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 0, -2, -4, -6?\n\"Answer: -2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4 + -8. Let y = 15\/62 - -1877\/186. Let k = y - 10. Sort x, k, 3 in increasing order.\nAnswer: x, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) -3  (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 276793301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (26 - 84) + -42 - -28?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 73 a factor of 2522910\/360 - (-1)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + 1 + 12 + -16 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000177 rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 137 = -47. Suppose 0 = -j*r + 5*r + 20. Suppose -6*h - r*h = -6730. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4*f**2 - 2*f**2 - f**2)*(17*f - 25*f + 17*f) - f**2 + f**2 + 3*f**3)*(6*f + 13 - 13) to x*f**2 + r*f**3 + g*f + q*f**4 + b and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -68?  (a) -0.4  (b) 0.1  (c) 0.43  (d) 0.06  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 337 + -325. Solve 2*o + 24 = 5*h, 3*h + 4 = -2*o + u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -137\/1914 and -119\/8004.\nAnswer: 88044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is (-747563)\/(-12) + 1596\/144 + -11 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21 + 89. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (15644\/16)\/((-37)\/(-6) + -6). Let x = -5718 + s. Is x less than 148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-18)\/(-28) - 0)\/(54\/(-63)). Let z = -53.14 + 53. Which is smaller: z or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 104*r + 13340 - 10844 = 0 for r.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*o - 4 + 4)*(276 + 265 - 147)*(2 - 9*o + 16*o - 10*o).\nAnswer: 3546*o**2 - 2364*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 18, 3, -1, 1 in ascending order.\nAnswer: -1, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -118098, -236194, -354290, -472386, -590482?\n\"Answer: -118096*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11001000110111101101011101 + 1001?\nAnswer: 11001000110111101101100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hiu when three letters picked without replacement from iiuiiuuiiiihhiiiiuih?\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -22 - -27 - 1*2. Suppose f = 2*y + 13, f - 5*y - 4 = -j. Solve 4*t + f = 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -422*m - 380*m + 1540*m - 387*m - 351*m - 2*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7645 or -7680?\nAnswer: -7680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16251\/4 - 3955. Let u = -107 + a. Let h(f) = 3*f - 3. Let g be h(1). Is u < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6825 and 8850?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 52 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 12:10 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -c - 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -32 + 40*z**2 - 35 + 67 - 128*z**2 + 26*z**2.\nAnswer: -62*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 447072 is divided by 40639.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 787517 is divided by 27137.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q**2 + 11*q + 6. Give x(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2297127*i + 765800*i + 765542*i + 765787*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*g + 7858 = 7654 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 6) to base 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 5*h + 76 - 2*h - h. List the prime factors of o(0).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -144 = -2*l - n - 132, 3*n + 12 = 0 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1*330\/77*147\/(-35)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 10*z**3 - 25*z - 30. Let l(d) = 17 + d - 8 - 8 + d**3. Let p = 217 + -247. Let n(t) = p*l(t) - m(t). Find the second derivative of n(b) wrt b.\nAnswer: -240*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 109116988.\nAnswer: 2, 27279247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 2*d - 3*c + 55 = 0, -5*d + 45 = c. Let n = d + -1. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) 1\/3  (c) -7  (d) 132\/13  (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -235 = -2*z - 3*z. Let g(r) = -2*r**2 + r + 29. Let b be g(0). Let u = z - b. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 2*f + 39, -2*f + 2*y = -3*y + 9. What is the units digit of -429*(f\/(-12) + (-4)\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 divided by -53939.\nAnswer: 7\/53939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (7 - (-1 + 5)) + (6 - 21)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 528307.\nAnswer: 13, 40639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g**2 - 5*g + 4. Let f be i(4). Let d = 202 + -1007\/5. Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -3*s - 13. Calculate the remainder when 22 is divided by t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.18 + -0.92. Let g = i + 1. What is the nearest to g in -0.5, 4, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-368)\/(-1932))\/((-16)\/(-108))\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23686 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*b**4 + 52*b**3 - 96 wrt b?\nAnswer: 8*b**3 + 156*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 13988599?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3912 - -339?\nAnswer: -3584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i - 2 + 2)*(0*i + i**2 + 0*i) - 2*i**2 + 2*i**3 + 2*i**2 + (-2 + 4 - 3)*(-12*i**3 + 3*i**3 - 4*i**3).\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 82 and 1064155?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -23*b**2 - 15*b - 4. Let c(a) = 12*a**2 + 8*a + 2. Determine 11*c(u) + 6*j(u).\nAnswer: -6*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98698712.\nAnswer: 2, 7, 1762477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 - (1 + 1) - -2 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4 + 5)\/(-5) + (-121)\/(-230). Let j be (1 - (-42)\/(-23)) + 1. Let u = g + j. Put 1, -0.5, u in descending order.\nAnswer: 1, u, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/4*(4 - 0). Let u(m) = -o*m**2 + 1 + 3*m**2 - 5 - m. Let s be (-6)\/((4 - 0)\/(-2)). Determine u(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 3 - (-5 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7189 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 342 + -45?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 69748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2591763, 2591764, 2591765, 2591766?\nAnswer: 2591767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 5*j - 110. Let r be g(23). Suppose -2*m = -4*q, 13 = 4*m + 3*q - 31. Suppose r*i = 3*i + m. What is the smallest common multiple of 1 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 176769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/20 and (-8)\/36 - 4\/((-4032)\/332).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 times -0.034162854?\nAnswer: 0.444117102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 13\/12  (b) 2  (c) -122\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -29.781 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m - m + 5*n = 86, -n - 560 = 5*m. Let p = m + 553\/5. Suppose 7*w - 2*w = -25. What is the second biggest value in w, p, -2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - 847\/42 - ((-2)\/(-10) + 80\/600).\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -5*y**2 - y**3 - 5*y + 12*y**2 - 4 + 0*y. Suppose 3*v = 15, 0 = 3*b + 4*v - 6 - 2. Let x = b + 10. Give m(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1804 or -1809?\nAnswer: -1809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 o when three letters picked without replacement from {y: 1, z: 9, o: 1, f: 3, w: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 8*w - 174548 = 0. Suppose 4*t + 0*t = w. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1101001011100011 (base 2) to base 15.\nAnswer: -10ee2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 993 - 525. Suppose 3*o - c = -114. What are the prime factors of o?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41 (base 11) to base 9.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2*j = -4*j + 55. What is the greatest common divisor of j and 231?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 5*m**2 + 0*m**2 - 9*m - 35 + 28 + 16 - 2*m**2. Let y be v(2). Solve 5*x - 8 - 10 = i, -y*x + i + 12 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 199081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4607912 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the third derivative of a**9\/1512 + a**8\/672 + a**7\/1680 + a**3\/3 - 3*a**2. Let r(s) be the first derivative of p(s). Find t such that r(t) = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 282 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -305 (base 9) in base 13?\nAnswer: -161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 420*p**2 - 144 - 238 + 308*p**2 + 382.\nAnswer: 728*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 304416 divided by 14496.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -581*l. Suppose -2*m - 152 = -6*m + 5*j, 156 = 4*m - 4*j. Let q(c) = c - 20 - 23 + m. Determine g(q(b)).\nAnswer: -581*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 26539419 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 128 and -33.3.\nAnswer: -4262.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 - 40*d**3 + 38*d**3 + 193.\nAnswer: -2*d**3 + 153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 4794823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -8*h. Let k(o) = 313*o**2. Determine n(k(q)).\nAnswer: -2504*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.219897 nanometers to centimeters.\nAnswer: 0.0000000219897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17511666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12 - 29) + (7 - (-31 + -9)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 418  (b) -1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:57 PM and 3:22 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - -7 - -3) + -38 + 28 + 2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c**3 - 2*c**2 - 4*c. Let w(a) = -4*a**2 - 11*a + 80. Give -2*i(p) + w(p).\nAnswer: 2*p**3 - 3*p + 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**2 + 17. Calculate the remainder when d(3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -6*x - 208. Let v(g) = -14*g - 418. Let s(m) = -7*m - 209. Let b(t) = -11*s(t) + 6*v(t). Let y(a) = 5*b(a) - 6*q(a). Is y(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 125, -1 in descending order.\nAnswer: 125, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kvbkkkkkkkkkvkkbvk. What is prob of sequence vvkb?\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 104*q - 1233. Let u(m) = 30*m - 411. Give -2*p(j) + 7*u(j).\nAnswer: 2*j - 411","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1498 - 1490. Suppose z*c + 3*v = 5*c, 2*v = -4. Factor 2\/13*q**3 + 0 + 2\/13*q**c - 2\/13*q - 2\/13*q**4.\nAnswer: -2*q*(q - 1)**2*(q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 7\/4  (b) -3  (c) -3\/3397  (d) 2\/3  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/57 and -5\/312?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 r when three letters picked without replacement from ycryrrywrrrrryrrc?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1309*a**5\/4 + 1308*a**4 + 1301*a**3\/2 - 1311*a**2 - 3911*a\/4 + 3 = 0. Calculate a.\nAnswer: -3, -1, 4\/1309, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24 - 9 - (1 + -3)) + -28?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30*(-3)\/(-90)*(-5)\/((-285)\/(-3)).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -2\/133, -117, 18, -1\/7?\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 6*d - 1. Let k(s) = -21*s**2 + 18*s + 9. Determine k(v) - 3*y(v).\nAnswer: -21*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 16754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) -3  (b) 4\/7  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8876585.\nAnswer: 5, 1775317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k. Suppose 23*y = 25*y. Suppose 0 = -y*x + x - 5. Let f(n) = -x*n**2 - n**2 + 4*n**2 - 2*n**2. Give f(g(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, p: 4, n: 5, k: 2}. Give prob of picking 1 k and 1 e.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + 2*(-1 + 1*sqrt(63) + 2 + 4).\nAnswer: 5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -265*l**3 - 12*l**2 - 4*l - 4. Let n(w) = -266*w**3 - 9*w**2 - 3*w - 3. Calculate 4*n(j) - 3*o(j).\nAnswer: -269*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44 = -22*d + 22. Suppose d*j + 44 = 3*l - 112, -2*j = -3*l + 161. Calculate the remainder when 149 is divided by l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 560.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4216 + -4219. Let p = -0.1 + -0.3. What is the nearest to 0.2 in 0, d, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 13*a**2 + 2*a - 2. Is x(-2) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.3 + -4.7. Let s = -1.6 + 2. Let m be (2\/(-28))\/(1\/4). What is the nearest to m in y, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 5*i**2 + i - 1. Let n = 30 - 21. What is the remainder when n is divided by s(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((72\/42)\/3)\/(5*(-24)\/420)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 5*r**5 - 20555*r**3 - 506530*r**2 + 82140*r + 2026120 = 0.\nAnswer: -37, -2, 2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**2 + 17776*r + 441900.\nAnswer: 4*(r + 25)*(r + 4419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1\/158 - -45\/869. Let q(z) be the second derivative of 0*z**2 - 2\/33*z**3 - 1\/110*z**5 + i*z**4 + 0 + 2*z. Factor q(a).\nAnswer: -2*a*(a - 2)*(a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 259  (b) -0.3  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 20574 - 11613. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -8036 + 8036.5. What is the biggest value in 2, -0.238, y, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001371044 rounded to six decimal places?\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 + 6*n**2 - 4*n + 20. Let q be z(-7). Let c be (0 - q)*10\/4. Let h = 13 + -12.7. Sort -2\/25, h, -1, c in ascending order.\nAnswer: -1, -2\/25, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that -2*z**5\/3 + 3742*z**4\/3 + 117356*z**3\/3 + 1078928*z**2\/3 + 892672*z = 0.\nAnswer: -16, -11, -4, 0, 1902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 0 = 4*h - 8, 0 = -5*h + 4*t + 5. Let p be (h\/6)\/(2\/(-8)). Suppose 0 = y + m, -4 = -2*y + m + p. Solve 3*a = -y*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-3 + 10 - 16).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 3 u when four letters picked without replacement from uhfuu?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 475767517 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 135013 is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*w**2 - 4*w**2 - 5*w**2)*(-2*w + 4*w - w) + 7*w**3 - 5*w**3 + 3*w**3 in the form d*w**3 + i + f*w + h*w**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (915\/75 + -12)\/((-8)\/15). Let j be 4\/(-12) + (-4)\/(-66). What is the nearest to -0.1 in j, -5, o?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 2205.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 162691 take away -0.83?\nAnswer: 162691.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0 - -11. Let p = 17 - y. Calculate the remainder when 23 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -4  (b) 0.3  (c) 74\/3  (d) 5  (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -5*d**4\/4 + 2*d**3\/3 - d**2\/2 - 4. Let m be -2 + 2 - -1 - 0. Give z(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8.9 + -9. Put j, 1, 1\/3, 3 in descending order.\nAnswer: 3, 1, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 55786, -9, 58 in decreasing order.\nAnswer: 55786, 58, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 3\/4, 9.3, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -17*i**3 - i**2 - 65*i - 123. What is y(-2)?\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26.5 + -27. What is the nearest to 2 in -1, f, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 451616 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1998)\/(-4)*(-2492)\/16821.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u**2 - u + 20. Let j = 4 - 4. Calculate the remainder when k(j) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 19 - 15 = 0. What is the remainder when 89\/3 + (-2)\/(-6) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 2*x**2 - 2*x**2 + 3*x**3 + 5*x**2 - 7*x + 4. Is t(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31 + -0.25\nAnswer: 30.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -35 and -0.4227?\nAnswer: 14.7945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 2*n - 7. Let q be i(5). Suppose -w = -3*p - q*w + 17, 2*p + 10 = 4*w. Suppose -p*h = -6*h + 102. What is the remainder when h is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5\/19, -0.23, -3, 318\/11, 7\/2?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) be the third derivative of -385*y**4\/24 - 173*y**3\/3 - 2*y**2 - 13. What is the derivative of x(c) wrt c?\nAnswer: -385","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1122799 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 60811 is divided by 5771.\nAnswer: 3101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2 + 238453580*s + 7107513726852050.\nAnswer: 2*(s + 59613395)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 665 and 3535?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 240785 (base 13) to base 12\nAnswer: 354722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 o when two letters picked without replacement from lolaillaolrlollil.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + 2*z**2 + 10*z**2 - 14*z**2 + 4*z**2. Let g(p) = 7*p + 5. Give k(g(w)).\nAnswer: 49*w**2 + 70*w + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 1\/(-2) + (-3700)\/200?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2119344 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r and 1 f when four letters picked without replacement from ffffrffffffff.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.5861, -0.097, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - 2. Let g = a - 0.1. Let x = -6 + 5.8. What is the closest to g in -1, x, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1 + 4 - 445966*q**2.\nAnswer: -445966*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 0.0321, -983?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8135975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-3)\/(-3))\/((-6)\/(-24)). Let i be (2 + -1)\/(o\/8). Solve 4*g - i = -4*q - 34, 3*g + 9 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5308973 is divided by 57085.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = g**2 - 20*g + 63. Let u be d(17). Let y be (-3 - 0)*(-4)\/u. Let q = -18 - -55\/3. Do y and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/432 and 113\/14?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*m**3 - 2732*m**2 + 25000*m + 60896 = 0 for m.\nAnswer: -692, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3444443383 to the nearest integer?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -1\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 99759001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -430 - -433. Solve -5*l + b*l - 10 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3193008 a multiple of 1091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 73*w**2 + w + 2. Let v be o(-1). Suppose -h - z = -5*z - 62, 2*z - v = -h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -30094 + 15041 + 76*g**2 + 137*g + 15053 in the form r + a*g**2 + d*g and give d.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-10)\/3*42\/(-35). Solve 3*i = -5*n - 31, -2*n + 2*i + i = g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 219 divide 154271902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {c: 1, y: 7, t: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) 40  (c) -2847\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 44 + -436100?\nAnswer: -436045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1082721841?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20709 is divided by 540.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2\/13 + 29\/104. Which is the nearest to 1\/2?  (a) d  (b) -3  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:02 AM and 5:46 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -19632240 divided by 109068?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 4756.245cm?\nAnswer: 47562450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 302810 to the nearest one thousand.\nAnswer: 303000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.61 + 0.31. Let u = -0.007 - 0.613. Let l = b - u. Round l to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 199*x + 280*x - 107*x to j*x + o and give j.\nAnswer: 372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) -33  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.3 + -0.7. Let f = -62 - -60. Sort 0.5, f, p in increasing order.\nAnswer: f, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 10) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*j + 26572 = -3956. List the prime factors of j\/32 - (1 + -3 + 1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) be the third derivative of 0*z**4 + 2\/35*z**7 + 0*z**3 - 1\/10*z**5 + 0*z + 0 + 0*z**6 - 9*z**2. What is the third derivative of b(l) wrt l?\nAnswer: 288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 1:32 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u + 9 - 24 = 4*t, 10 = -5*t - 5*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 34 + 1a045a4?\nAnswer: 1a04618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1*((-72)\/(-42))\/((-72)\/336)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28 + -9 + (94 - 12) + (1 - 4).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y - 10*j + 8*j - 14, -j = 4*y + 13 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i, 2 x, and 1 b when four letters picked without replacement from {y: 3, x: 4, i: 1, m: 1, b: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m + 8. Let t(c) = -3*c + 3. Suppose h = 3*p, -2*h - 6 = -3*h - 3*p. Let v be t(h). What is r(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 208 and 18?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - (-171)\/(-18)) + 7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 - 6 - 2*m**4 + 6*m**2 - 5*m**2 + 8 + 2 - 9*m + m**3 as v*m + s*m**2 + o + c*m**4 + n*m**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2308*j**3 - 13*j + 7. Let y(w) = 2*w**3 + 2*w - 1. Calculate r(x) + 7*y(x).\nAnswer: -2294*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -8885426 from 149.\nAnswer: 8885575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*n**3 + 172*n**2 - 176*n.\nAnswer: 4*n*(n - 1)*(n + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 200503 = 1829*h + 72473 for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 476873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -123 and -0.1.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 21924806*x**2 + 21924782*x**2 - 3.\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 616\/792*96\/3584?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 708, 690, 652, 588, 492, 358?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 11065*k + 167780. Calculate v(-15).\nAnswer: 1805","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*(r\/(r\/(r*r*r**(-1\/2))))\/r)**(-29)*r**(4\/3)\/(r*r**(-2\/3)\/r)*(r**1\/r)**(2\/77)\/(r**(1\/3)*r\/(r\/(r*r**(-2\/5)))) assuming r is positive.\nAnswer: r**(-1273\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 d when two letters picked without replacement from cezdcdzcddceccecc?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -540.778 rounded to 0 dps?\nAnswer: -541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -865964 to the nearest 10000.\nAnswer: -870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*h - 5*h**2 - 6*h + (3*h + 0*h - 2*h)*(0 + 0 + 2*h) + 0*h**2 - h**2 + 3*h**2 + 20*h - 97*h**2 + 3 + 71*h + 99*h**2.\nAnswer: h**2 + 91*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 55 + -58. Let c be 240\/(-36) - (-2)\/(-6). Let m(v) = v**3 + 6*v**2 - 9*v - 4. Let d be m(c). Sort -4, d, u in decreasing order.\nAnswer: d, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4 - 0) + 3*2. Let f(k) = 4*k**3 - 5*k**2 - 11*k. Let d(i) = 2*i**3 - 2*i**2 - 5*i. What is n*f(v) - 5*d(v)?\nAnswer: -2*v**3 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, g: 1, n: 10, t: 3, o: 3}. What is prob of sequence oo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 718864, 1437745, 2156646, 2875567?\n\"Answer: 10*k**2 + 718851*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*u = -174 + 129. Solve 4*z = i - 0 - 5, 2*z = -u*i + 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-120)\/(-16)*8\/(-10). Let t(u) = -8*u**3 - 11*u**2 + 6*u + 2. Let i be t(f). Let k = i - 927. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, 117, 5 in ascending order.\nAnswer: -1, 4, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2  (b) -3  (c) 34154  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3399313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -1408*f**2 - 1. Let p(v) = -49*v + 98*v - 52*v + 5*v. Calculate p(c(q)).\nAnswer: -2816*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes after 12:06 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -187*g + 182*g = -5*i + 60, 37 = -2*g + 3*i for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1599 by 39.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 169 a factor of 21125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-72)\/(-13))\/((-2300)\/(-14950)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 169769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82041.\nAnswer: 3, 23, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1045515635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(-4) + (-2)\/(-8). Let y(p) be the first derivative of -3\/2*p**2 - 1 + p. Determine y(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2004*d**3*f**2 - d**3 - 42*d**2*f + f**2 wrt d?\nAnswer: 12024*f**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*b**3 + 10*b**3 + 0*b**3.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the second derivative of r**5\/130 + r**4\/13 + r**3\/13 - 10*r**2\/13 + 8*r - 1. Factor i(m).\nAnswer: 2*(m - 1)*(m + 2)*(m + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11 or 3\/38?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 49765411 by 5.\nAnswer: 49765411\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -3.4, -2\/5, 14, 270.6 in decreasing order.\nAnswer: 270.6, 14, -2\/5, -2, -3, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*l = l - 71507. Suppose 14*k - l = 13*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, f: 2, j: 1, i: 1, b: 1, r: 1}. What is prob of picking 2 f, 1 b, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -21*a**2 - 90*a + 3. Calculate n(-3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 59 + -17. Suppose 48*c - 90 = b*c. Suppose -r + 39 = 2*a, -c + 105 = 5*a + r. Solve -4*s - 3*o + 4*o = a, 3*o - 15 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 60 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -158*9092.\nAnswer: -1436536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -88962, -181326, -273690, -366054, -458418, -550782?\nAnswer: -643146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 12\/13, 1\/4, 1\/5, 0.5 in decreasing order.\nAnswer: 12\/13, 0.5, 1\/4, 1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-16))\/(7\/28)*-8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((56 - 59) + 4 + 0 - 8) + 69 - 1\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (157 - 158) + 1 + 3 - 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -2*t + 5*t + 7*t - 2. Let j(n) be the second derivative of -n**4\/6 - n - 1155. Give o(j(g)).\nAnswer: -20*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1605 * 16.\nAnswer: -2.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -629*u. Let v(n) = -3*n**2. Give v(p(m)).\nAnswer: -1186923*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*w**4 + 0*w**4 + w**3 - 17*w**4 + (0*w + 0*w - w**3)*(0 + 0 + w) to the form t*w + p + l*w**2 + n*w**4 + x*w**3 and give n.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 15706974497490 + 0.7?\nAnswer: 15706974497490.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -2*q. Let x(h) = -1720*h**2. Determine v(x(p)).\nAnswer: 3440*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -10612*q**2 - 13*q - 10037. Let i(v) = -5307*v**2 - 6*v - 5021. Let h(p) = 13*i(p) - 6*j(p). What is the first derivative of h(x) wrt x?\nAnswer: -10638*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23324.41*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = 7*q - 1254. Suppose -2*z = -4*h - q, -3*h = 4*z + 124 - 441. What is the smallest common multiple of 2 and z?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 134547 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine j, given that -5*j**3 - 24900*j**2 - 31025385*j - 61951210 = 0.\nAnswer: -2489, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2088 take away -27?\nAnswer: -2061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 459 minutes after 9:00 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g**5 + 6*g**4 + 9*g**3 + 4*g**2 = 0. What is g?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 285 divided by 205297\nAnswer: 285\/205297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1188239296 a multiple of 452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 4, k: 1, d: 2}. Give prob of sequence zz.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2736)*-2 - sqrt(2736) - sqrt(2736)) + -4 + (((-2 + sqrt(19))*-6)**2 - sqrt(19))*3.\nAnswer: -483*sqrt(19) + 2480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 38098789 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (404\/2626)\/((-3082)\/299)?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-44 + 298 + 338 + 129 - 174)*(i**2 + i**2 + 0*i**2).\nAnswer: 1094*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/21*(-14)\/6. Let r = 2\/111 + -76\/111. Sort -2, j, 20, r.\nAnswer: -2, r, j, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 8680*w**4 - w**3 - 4*w**2 + 50190*w.\nAnswer: 104160*w**2 - 6*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1632 and 918408.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40 + -173.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 19093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 9:24 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 i when three letters picked without replacement from {v: 7, l: 1, i: 5}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5048549046 and 0.39402.\nAnswer: -5048549045.60598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of -s**7\/1260 + s**5\/120 + s**4\/8 + 3*s**2. Let c(j) be the second derivative of r(j). Differentiate c(l) wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -9*k**2 - 6 - 8 + 2*k**2 + k**3 - 6*k + 4. Let u be z(8). Sort -2, u, 0 in decreasing order.\nAnswer: u, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*x + s + 2*s + 50 = 233, -5*x + 1 = 2*s + 4*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 314.8 + -313. What is the third biggest value in m, 3, 5, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 AM and 9:35 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 20*v + 18*v + 10*v - 51*v. Let p(r) = -35*r + 6. Let d(z) = -6*z + 1. Let y(q) = 34*d(q) - 6*p(q). Give a(y(b)).\nAnswer: -18*b + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of 2*y**5\/5 + 33*y**4\/2 + 62*y**3\/3 - 33*y**2 - 64*y + 1173. Factor s(p).\nAnswer: 2*(p - 1)*(p + 1)**2*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 - ((-36 - -44) + 35).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pmtymtpdmypytxp. Give prob of picking 1 x and 1 d.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (3\/9*9)\/(1 + -2). What is the biggest value in d, 0, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 48 = x. Suppose -2*v - 5*n = -3*n - 60, 3*n - 58 = -2*v. Let k = v - x. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 174 = 1290. What is the remainder when c is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 28, 154, 394, 772, 1312, 2038, 2974?\n\"Answer: 4*w**3 + 33*w**2 - w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*t + 4, -3*s = 3*t - 60. What is the second derivative of 0*x**3 + s*x**3 - 12*x + 24*x wrt x?\nAnswer: 90*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -6*n**4 - 501*n**3 + 1839*n**2 + 1044*n = 0. What is n?\nAnswer: -87, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 19344957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in fifty-one quarters of a day?\nAnswer: 18360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1034, -1220, -1406, -1592, -1778?\nAnswer: -1964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25*k**4 - k**3 + 21 - 24 + 9*k**3 - 197*k + k**3 + 31*k wrt k?\nAnswer: -300*k**2 + 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -6*b**2 + 8*b - 24. Let j(d) = -5*d**2 + 10*d - 25. Let r(l) = -4*j(l) + 5*o(l). Differentiate r(x) wrt x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 3, -32, -61\/3, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, v: 6, y: 4, q: 1}. What is prob of picking 3 e and 1 q?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, 251, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-10*p + 6*p - 9*p)*(2*p - 5 + 5 + (-3 + 0 + 2)*(-2*p - p + 4*p) - 4*p + 3*p - p) to n + z*p + i*p**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -5*t**2 + 2*t + 9. Let c(j) = -2*j**2 + j + 5. Determine -10*c(r) + 6*i(r).\nAnswer: -10*r**2 + 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + v - 8 = 0. Suppose 2*g - v*q = 124, 121 = -5*g + 3*q + 424. Let j = g - 40. Solve -j + 0 = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.3 + -33001?\nAnswer: -32996.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 + 6*n - 3. Let p be k(5). Find the second derivative of 2*s**p - s + s**3 - s**2 - s**2 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 70, -0.5, 2\/13, 11?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1 + 4)\/(-3) - -1. Suppose 2*j - 6*j + 4 = w. Sort 4, j, -2 in ascending order.\nAnswer: -2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 119 and 1241?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 25302 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/4 + 10903*q\/4 + 2726.\nAnswer: -(q - 10904)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -10*a**2 - 9013*a - 53718 = 0. Calculate a.\nAnswer: -8953\/10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of 3*h**6\/40 - h**5\/3 + 13*h**4\/24 - h**3\/3 - 11*h**2\/2 - h. Let i(z) be the first derivative of w(z). Factor i(s).\nAnswer: (s - 1)**2*(9*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:48 AM and 5:39 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*d - 3*z - 27, -4*d + 24 = -2*z + 2. Let q = -80 + 79.9. Which is the closest to q?  (a) 5  (b) d  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 56*p - 3*p**3 + 57*p + 2*p**2 - 94*p - 13 - p**2. Let j(a) = -6*a**3 + 3*a**2 + 39*a - 27. Let o(h) = 4*j(h) - 9*s(h). Solve o(u) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 6970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*v + 32*v - 144 = 0. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*c + 1088 + 730 = 0. Let m = -209 - c. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0  (b) -1  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -11*x**2 - 46 + x**3 + 82 + 2*x**2 - 9. What are the prime factors of r(10)?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 488*w**2 - 489*w**2 - 8 + 10 - 74*w - 215*w.\nAnswer: -w**2 - 289*w + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:59 AM and 11:43 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*t - 2*o + 20, t + 0*t - 10 = -5*o. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -312*p - 126. Let d(t) = 37*t + 15. Let q(o) = -42*d(o) - 5*u(o). Let m(r) = 15*r + 3. Give q(m(y)).\nAnswer: 90*y + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t = -4*n + 20, -n - 58 + 73 = -6*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*q**3*s*v**3 - 5*q**3*s - 2*q**2*s + 2*q*s*v**3 - 3*s*v**3 + s*v wrt q?\nAnswer: -42*q*s*v**3 - 30*q*s - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g - d = -5, -488*d + 483*d = -2*g - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (12\/24)\/(3\/(-2))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 107052 + -107051.9. Let g = -4.92 + -0.08. What is the closest to 3\/7 in g, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.2 and 0.17712.\nAnswer: 0.37712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 7 = -3*x, 5*u = -4*x - 8 - 14. Suppose 5*t - 572 + 37 = 5*k, -5*k = -3*t + 311. What is the common denominator of (0 - x) + (-371)\/t and 11\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10012023332313 - -10?\nAnswer: 10012023332323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 1 r, and 1 z when three letters picked without replacement from rzgnz?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -233, 2\/5, 3\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the first derivative of -27 + 1\/2*s**2 - 5\/3*s**3 + 0*s + 5\/4*s**4. Is 11 a factor of p(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**2 - 7*q - 5. Let s be m(-6). Suppose -10 = -3*f + 4*h, 4*h + 8 - 4 = 0. Solve 2 = -2*y + 2*p, y - 4*y = -f*p + s for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t + 5. Suppose -4*b + 3*b = 6. Let r(z) = -z**3 - 5*z**2 + 4*z - 7. Let m be r(b). Give y(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -68*w - 9. Let j be f(-6). Suppose j = 4*k - 61. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2851 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 - 2*b - 2. Let h(d) = -64*d - 60. Let o be h(-1). Let s(t) = 2*t**2 - 4*t - 5. Determine o*s(v) - 9*l(v).\nAnswer: -v**2 + 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/((sqrt(4) + sqrt(100) - sqrt(4))\/sqrt(2)).\nAnswer: 3*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 693751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l**3 - 12*l**2 - 9*l + 13. Give a(-7).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 510 and 9564.\nAnswer: 812940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > 2\/74881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-2)*4\/(-6). Suppose j - 3 - y = 0. What is the remainder when (90\/24 + 0)\/(6\/16) is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 5070, 20255, 45562, 80991, 126542?\n\"Answer: 5061*k**2 + 2*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {w: 12, o: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t - 2*q + 1067 = 0, -2*t - 211 = -t - q. Let m = 1049 - t. What are the prime factors of m?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/((-275)\/15)*2\/69. Let k = w + -12632\/11385. Is k != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 31580*i**2 + 30*i + 30. Let f be o(-1). Suppose -f = -16*j + 84372. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 - 130 = -2*i. Let v = -19 + i. What is the greatest common factor of v and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -91\/4, -4, 2, -9, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from abcdaond. What is prob of sequence bod?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10 + -2. Let g = -7 - b. Sort 7, 1, g, 4.\nAnswer: 1, 4, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 AM and 3:13 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 4*d = -20, 3*j = -0*d + d + 2. Let a(q) = 3*q**3 - 2*q**2. Calculate a(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3 + (0 + -1)*-18. Suppose 115 = 3*v + 4*d, 0 = 3*v - 2*v - 3*d - s. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -99*m. Let z(q) = -63*q**2 + 20*q. Let g(k) = -423*k**2 + 135*k. Let o(p) = 4*g(p) - 27*z(p). Determine h(o(b)).\nAnswer: -891*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -556.1 + 556.3. Let c = -1\/5 + 3\/5. Sort i, c, -1, -4 in increasing order.\nAnswer: -4, -1, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/(-3) + (-2)\/3. Let h = 2\/3 - 4\/9. Suppose 8\/9*f - 8\/9 - h*f**u = 0. Calculate f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*r**2 - 3*r**2 - 4*r**2)*(2*r - 4 + 4) + 4*r - 2*r**3 - 4*r + 0 + r**3 + 0 + r**3 + 3*r - 2*r + 0*r - 5*r**2 as s*r**2 + k*r**3 + z*r + d and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -16909 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 4660000 to the nearest one hundred thousand.\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-62*b**3 - 2*b + 2*b)*(-71 + 23*b + 71).\nAnswer: -1426*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5550949 = -15*r + 34*r + 22*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 2*s - 114, 5*s = 2*k + 299 - 11. Suppose -3*r + s = -5*q, 5*q - 1 = 4. Calculate the highest common factor of r and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + b + 26 + 15, 3*u - b - 64 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the second derivative of -o**4\/12 + o**3\/3 + 4*o**2 - 5*o. Let w be s(6). Let i = 14 + w. Is -0.2 greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:22 AM and 11:12 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the third derivative of m**6\/15 - m**5\/12 + 5*m**4\/24 - 21*m**2. Let z(c) = 39*c**3 - 24*c**2 + 24*c. What is -24*j(t) + 5*z(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 234296194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 73769881 and 1943.\nAnswer: 1943","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m - 10 = -3*p, 0 = 25*m - 26*m - 4*p + 21 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 - 77\/(-7)*-1) + (-4 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a factor of 3267009?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that f**2\/2 + 11284*f + 63664328 = 0.\nAnswer: -11284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnmmngntnammtmm. Give prob of sequence tg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = t + 2. Let a(j) = -j + 5. Let i(p) = 2*p + 4. Suppose 2 = 5*c - 8. Let x be i(c). Let y be a(x). Let b(u) = -1. What is y*b(n) - o(n)?\nAnswer: -n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -240 - -101?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -75.19 - 0.81. Let b = -74 - i. Let j be 2\/3 - 0\/(-1). Is b < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 14 = w, 2*a = -3*w - 0*w - 9. Let f be (-6)\/((-9)\/a) - -7. Solve -6*y**2 + 23*y**4 + 15*y**f + 3*y**4 + 3*y**3 - 2*y**4 = 0.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 398039*k**5 - 408901*k**2 - 1 wrt k.\nAnswer: 23882340*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -2*u + 2*r, -u + 31 = 4*r - 3*r. Calculate the greatest common divisor of u and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (12\/9)\/(8\/12). Solve -n*r + r = 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*1*(-2)\/(6\/(-9)). Let r(k) be the first derivative of -29 + 3 - 20 - k**2 + 7*k + l. Let s(g) = 2*g. Calculate s(r(j)).\nAnswer: -4*j + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*c**2 + 45*c + 70 = 0. Calculate c.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/(-10) + 7623\/45. Let k(y) = -97*y**2 + y - 1. Let b be k(-1). Let l = f + b. Calculate the greatest common factor of 10 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157 > 469\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m - 5*t + 1215, 5*m + 219 = -4*t + 1433. Suppose -m = -3*n - 53. Suppose 4 - 2 = 2*q, 4*u - q - n = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (599 + 115 + 162)*(-k**2 - 215*k**3 + 215*k**3 - 5*k**4) in the form a*k**4 + m*k + w + c*k**3 + y*k**2 and give a.\nAnswer: -4380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 17, 37, 79, 149, 253?\n\"Answer: h**3 + 5*h**2 - 2*h + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(7\/2)*t\/(t\/(t*t*t\/(t*t*t**(-1\/10))*t))*t\/((((t*t\/(t\/t**(7\/4)))\/t)\/t)\/t)*t**(2\/17))\/((t**(-1))**(-44)*t**(-4)*t**(-6)) assuming t is positive.\nAnswer: t**(-9191\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 divided by 8?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*v = 5*c + 21*v - 112715, -15*c - 5*v = -338005. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5267\/15 - 351. Let w = 18.4 - 18.1. What is the closest to 2 in w, g, 11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 0.1476116 years?\nAnswer: 1.7713392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i + w + 2321, -11*w = -2*i - 14*w + 1171. Solve -586*q = -i*q + 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 251969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 1)*(-d + 2*d - 6*d)*(0 + 1 - 3 + (-8 + 2 + 2)*(-3 + 0 + 0)).\nAnswer: -50*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((s\/s**5)\/s*s*s\/(s*s**5))\/(s**(-5)*s**(-2\/15)*s*s))**(1\/23))**(1\/9) assuming s is positive.\nAnswer: s**(-88\/3105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 224411, -54, -3\/2?\nAnswer: 224411","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*h - 135*h = 12213. Suppose -p + 4*r + 472 = 3*p, -3*r + 598 = 5*p. Let i = p + h. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2\/2 - 145*x\/2 + 2322.\nAnswer: -(x - 27)*(x + 172)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*l**2 - 8 + 25*l**2 - 225*l**3 - 16*l**2 + 24*l**2.\nAnswer: -225*l**3 + 2*l**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -7*d - 2. Let g(o) = -4*o - 1. Let b be (-15)\/(-2)*4\/6. Calculate b*g(j) - 3*h(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1566 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 629 - 628. What is the smallest value in -0.3, -1, 4\/5, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f - 3*n = -2, -2314*n = 4*f - 2335*n - 50 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 104 and 5148.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27901391?\nAnswer: 7, 1151, 3463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -10  (b) 3\/31  (c) -0.5  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1215 and 3888?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -1\/9, 5, -0.3, 31, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -3347692*i**2 - 2*i. Let j(p) = -4*p. Give t(j(u)).\nAnswer: -53563072*u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 1 k when two letters picked without replacement from {k: 4, a: 1, i: 6, w: 1, q: 2, m: 1}?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 24 - 0. Let j = o - -5. Let c be ((-20)\/4)\/(1*j). Solve -c*k + 9 + 11 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 6 = -8. Let p(k) = -k**3 + 8*k**2 - 5*k - 8. Let l be p(j). Let o(x) be the second derivative of x**3\/6 - x**2 + 7*x. What is o(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**3 - 22*j**2 + 3*j + 427. Let g be h(21). Calculate the greatest common divisor of 3234 and g.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**2 - 2496346*i + 4992690. What is s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 43 + -38. Suppose a*z + 4*b - 24 = 176, -z + 40 = 2*b. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/((-21)\/(-9) + -2). Suppose c*f - 8*f = -20. Suppose -4*d - r + f*r = -13, -2*d = -r - 9. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or -1\/8815?\nAnswer: -1\/8815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-2\/3)\/q*(q\/(q*q\/(q**(-2\/9)\/q)))\/q*q*q\/(q\/((q\/((q*(q\/(q**(11\/4)*q))\/q*q)\/q))\/q))*q**(1\/2) assuming q is positive.\nAnswer: q**(-23\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3*v + 3. Let s(z) = -7*z + 6. Let d(n) = -5*m(n) + 2*s(n). Let o be d(5). Calculate the remainder when 6 is divided by -1 + 1 - (-8)\/o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of u**6\/40 - 8*u**5\/5 + 219*u**4\/8 + 126*u**3 + u**2 + 1247. Suppose c(v) = 0. What is v?\nAnswer: -1, 12, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 0.03, -1\/6, 1 in descending order.\nAnswer: 5, 1, 0.03, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3*(-30)\/(-243)*(-12)\/10. Let l = 0 + 0. Let t = -56 - -54. What is the nearest to l in 1\/3, t, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/a**(4\/11))\/(a\/(a**12*a*a))*(a\/(a*a**(3\/2)))\/a**(2\/23) assuming a is positive.\nAnswer: a**(6097\/506)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 584\/175 + -82\/25. Which is the closest to 2?  (a) v  (b) -4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2764, -3213, -3662, -4111?\nAnswer: -4560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(4\/13)*(c*((c**(-1\/6)\/c)\/c)\/c)\/c)**(11\/3) assuming c is positive.\nAnswer: c**(-2453\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 30 and 1110.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124260 is divided by 59319?\nAnswer: 5622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*k**3 - 3*k**3 - 3*k**3 - 5*k**3 + 5*k**3 - k**3 + (3*k - 3*k - 2*k)*(-k - 2*k**2 + k) + 0*k**2 + 0*k**2 + 3*k**3 + 2*k**3 + 2*k - 2*k.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6c0 + -6?\nAnswer: 6b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 407 - -87?\nAnswer: 48e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*d**3 + 34*d**3 + 9*d**3 - 24*d**3.\nAnswer: -29*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*(n\/n**(1\/7))\/n*(n**8\/n)\/n*n**(2\/7)*n*n*n**2\/n assuming n is positive.\nAnswer: n**(71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + 4*x - 168, -o = 2*o + 4*x - 128. Let l = 57 - o. Solve 3*v - l = w + 3*w, -3*w - 17 = 2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 114\/21*(-2716)\/388.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -2020*w**2 + 140*w - 140. Let f(u) = -43*u**2 + 3*u - 3. Give -140*f(n) + 3*r(n).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 613*v**2 - 378 + 184 - 608*v**2 + 194.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*w**5 - 352*w**4 - 2*w**2 - 67*w?\nAnswer: -40*w**3 - 4224*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s**2 - 66*s - 7. Suppose 4*z = 5*t + 145, -51*z - 71 = 2*t - 50*z. Calculate m(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -203.00001145 + 203. What is a rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 166, 182, 200, 220?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 4*r - 20, -2*i + 10 - 2 = 3*r. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 35 - 29. Sort 2, 1, t in decreasing order.\nAnswer: t, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**2. Let i(q) = q - 28. Determine i(s(p)).\nAnswer: -p**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -189 + 179. Let z(f) = -f**3 - 7*f**2 + 14*f. What is the hundreds digit of z(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 12*y**2. Let u(s) = -5*s + s + 6*s - 15*s. What is b(u(q))?\nAnswer: 2028*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together -24.1 and -23540896256.\nAnswer: -23540896280.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2 = 2*m. Let r be (6\/(-9))\/(m\/(-9)). What is the units digit of 1\/((-102)\/(-33) - r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 810920.7 years to decades.\nAnswer: 81092.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13319 or -0.038?\nAnswer: -13319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -19*i**3 + 5*i**2 + 23*i + 18. Is j(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 12) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3210222, 3210235, 3210250, 3210267, 3210286?\nAnswer: 3210307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - g - 2*s = -8, 4 = s. Suppose 0 = -2*h - g*h. Suppose -4*o + 60 - 4 = h. What is the highest common factor of o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3\/5 + 56*i**2 - 9758*i\/5 + 1896.\nAnswer: -2*(i - 79)*(i - 60)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**5\/z)\/(z\/z**(22\/7)*z)*(((((z**(3\/16)\/z)\/z*z*z)\/z)\/z*z)\/z)\/z**(2\/7) assuming z is positive.\nAnswer: z**(341\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the first derivative of -36\/5*r - 102\/5*r**2 - 42 - 49\/5*r**4 - 364\/15*r**3. Factor g(f).\nAnswer: -4*(f + 1)*(7*f + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 531.66078 nanoseconds in days?\nAnswer: 0.00000000000615348125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 4*a - 4 = -h, -4*h + 16 = 2*a. Solve 2*j - 10 = -a for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3751)\/(-242) - 2\/4. Let s(b) = b**3 - 13*b**2 - 28*b - 35. Determine s(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13272 - 13264. Suppose 7 = s - 4. Calculate the remainder when s is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqzz when four letters picked without replacement from qzqzqzz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-5)\/q)**(3\/44))**(-7))**(-1\/21) assuming q is positive.\nAnswer: q**(-3\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 48\/33 + (-30)\/(-55). Suppose 4*x = -5*z - q, 5*x = 3*z - 30 + 9. Let a(c) = -4*c + 3. Let j(f) = 21*f - 16. What is z*j(y) + 11*a(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 5*m - 33. What is the remainder when m is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 29*j**2 + 30*j - 52. Calculate a(28).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 255295.368ms to days.\nAnswer: 0.0029548075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6324 = -4*r - f, -2*f = -4*f. Let p = -1000 - r. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -85 + 422\/5. What is the second biggest value in 1\/2, -3, b, -2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 - 2*i**3 - 18*i - 17*i**2 + i**2 + 3*i**3. Let r be x(9). Suppose -5*f + 2*h + 59 = r, 1 + 6 = f + 2*h. Solve f*d = 8*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 + 10*w - 4. Suppose 4*n + 16 = 3*r, 4*r - 3*n - 21 = 5. What is the units digit of f(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 125 = 5*l, -4*k + 7*k - 50 = -2*l. Is 13 a factor of (-190)\/(-4)*20\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.22 and -0.21?\nAnswer: -0.2562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/2  (b) -3\/7  (c) 783\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i**2\/13 - 19832*i\/13 + 56396922\/13 = 0.\nAnswer: -12223, 2307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.04 - -0.16. Let f = g - -0.18. What is the closest to 1\/4 in 1\/10, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o = 6, 14*u - 35 = 9*u + 5*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2401.83 - 18.17. Let w = a + 2566.1. What is w rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13098 or -13097?\nAnswer: -13098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 2*c, 2*c - 3*u - 2601 = -2581 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -13522245 (base 7) in base 12?\nAnswer: -510880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*h**2*i*j**3 - 3220*h**2*j**3 - 3*h**2*j**2 - 4*h**2*j + 3*h*i*j**2 + 5*h*j**3 - i*j**2 - 66*i*j - 10*i wrt j.\nAnswer: -90*h**2*i - 19320*h**2 + 30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5213806816 rounded to four decimal places?\nAnswer: 0.5214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = s - 4. Let a = s + -6. Solve -5*c = -a*c + 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -638*l + 652*l = 3685 + 39. What is the highest common divisor of 209 and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 65583393 and 3129.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1080 (base 11) to base 7.\nAnswer: 4065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-k + k + k**2)*(k - k - 2*k) + (-319*k**2 + 127*k**2 + 135*k**2)*(-3 - 2*k + 3) to i + u*k**2 + q*k + r*k**3 and give r.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -320*n - 133*n + 196*n + 9509 for n.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/7 in -14, -2\/9, -6175?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4053896 divided by -46067?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 68 - 0 - (-12 + (-23 - 27 - -57)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 + 3*i**2 + 2. Let q be s(-3). Suppose q = t - 1. Solve 16 = -p - t*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = 83 - 13. Let t = z - 11. Suppose c + 22 = t*c. What is the remainder when 29 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2641 + 11.97.\nAnswer: -2629.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v**2. Let f(p) = 1 + 0 + p**2 - 1. Calculate o(f(a)).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8) - sqrt(64)\/(sqrt(288) + sqrt(8)) - sqrt(8))\/((sqrt(400) - (sqrt(400) + (-2*sqrt(400) - sqrt(400)))) + sqrt(400) - sqrt(400)).\nAnswer: -sqrt(2)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 87813163.\nAnswer: 223, 379, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 85120 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -2*x - 7. Let z(r) = 4*r - r - 4*r - 6. Let u(f) = -2*l(f) + 3*z(f). List the prime factors of u(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, 1, 35 in descending order.\nAnswer: 35, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h - 4 = -8*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of 0 + 43\/60*z**6 + 94*z**2 + 1\/60*z**5 + 0*z + 0*z**4 - 13\/6*z**3. What is the third derivative of d(y) wrt y?\nAnswer: 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = -0*i - 18. Let d(u) = u**2 - 7*u + 9. Let r be d(i). Suppose 6*b - 4*b = -r*t + 36, -3*b = 5*t - 52. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = l**2 - 8*l + 10. Let b be f(7). Let n be (3 + 0)\/b*3. Suppose n*g - 2*t = 44, 7 = 4*g + 3*t - 29. Solve -g = -5*d + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/2720 and 25\/3366.\nAnswer: 269280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*w - 7*w - 8*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 152 - (6 - 2) - (-4)\/(-1). Let n be (p\/96)\/(2\/4). Solve n*w + 8 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the first derivative of 207*q**2 - 756*q - 62. Differentiate c(a) wrt a.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (246*i - 197 + 197)*(i - 2 + 2)*(-2 + 2 - 1)*(3*i - 3*i - 2*i) as h*i**3 + t*i**2 + d*i + m and give h.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2736624542.\nAnswer: 2, 6553, 208807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2555*j**4 + 4098?\nAnswer: 10220*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24 - 11. Let d(o) be the first derivative of 4*o**3 - o**2 - 3*o + 6. What is the remainder when d(-2) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the first derivative of -3 + 0*s - 3\/5*s**5 + 0*s**4 + 0*s**2 - s**3. Find the third derivative of j(q) wrt q.\nAnswer: -72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0.1, -0.4, -0.01, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 145 and 4674365?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -287 divided by 3\nAnswer: -287\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b - 11*b = -66 - 9 - 37, -2*z - 38*b + 116 = -30*b for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 40509\/5 + -8110. Are u and -12\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1355, 2703, 4033, 5333, 6591, 7795?\n\"Answer: -2*l**3 + 3*l**2 + 1353*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = c + 52. Suppose 41*o - 864 = 32*o. Let l = o - c. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -45.5 - -58.54. Let s = -39 + 41.06. Let v = c + s. What is v rounded to 0 decimal places?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -80 - -76. Suppose -5*r - 8 + 3 = 0. Let n be r\/(-4)*(-16)\/30. Put f, n, 0.3 in increasing order.\nAnswer: f, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the first derivative of h**4\/14 - 2*h**3 - 88. Factor l(n).\nAnswer: 2*n**2*(n - 21)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 times 426484\nAnswer: -426484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 + -1)*(-1385)\/(-2). Let v be 5\/((-25)\/106)*q. Let n = 89362 - v. Round n to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**4 + 126*g**3 - 357*g**2 + 234*g.\nAnswer: -3*g*(g - 39)*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 + 1 + -5 + 41 + -45?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135842 is divided by 503?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-20) - 8\/5. Let t be (1 + -1)\/(-3) + x. Let d(w) = 13*w**2 + 4*w + 3. Is d(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + i + 4 = 0, -p + 20 = 31*i - 36*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 9*f**3 - 9*f**2 + 45*f - 110. Let w be z(6). What is the greatest common divisor of w and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 85911677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -1244995*r + 3734980. What is p(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*u + 31*u + 21*u + 30*u - 166*u + 41*u.\nAnswer: -17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 515192 divided by -3?\nAnswer: -515192\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47043026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1007356723 to the nearest integer?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 25*g - 2433. Let l(k) = -k**2 + 32*k. Determine x(l(u)).\nAnswer: -25*u**2 + 800*u - 2433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 41\/5 of a litre in millilitres?\nAnswer: 8200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 6, 98, 0, 3 in decreasing order.\nAnswer: 98, 6, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -14 + 47*n + 14 to l + d*n and give d.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -119 in 3, -4087, -1\/6, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a micrometer in nanometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 587 is divided by 75?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4\/753 or 0.0877?\nAnswer: -4\/753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 155904 and 248304?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2\/5 - 90\/(-25). Let l be -12*((-10)\/j)\/5. Solve 2*h - l = -g, 9 + 3 = -3*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8595892*m**2 + 168*m + 30183 wrt m.\nAnswer: -17191784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 196857729581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3\/22, 0.1, 3823.5, 3?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -106 less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/10*5\/(-2). Let t be c*((-25)\/3)\/5. Suppose g - t + 1 = 0. Solve 4*h + g*z - 2 = -26, -4*h = z + 9 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 132745021 is divided by 79.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 705523577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4343520 divided by 36196\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of -1\/2*l**5 - 1\/24*l**6 + 0*l**3 - 11*l**2 + 0*l + 0 - 25\/24*l**4. Factor d(f).\nAnswer: -5*f*(f + 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 18130 = p, 74*x - 5*p + 18118 = 78*x. What are the prime factors of x?\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 113*i - 245*i + 291*i + 17 - 9 + 926*i to the form o*i + k and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1089 and 373043?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-76)\/(-12) - (0 - 12\/(-9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 8506, -5, 2, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -80089 - 250598.\nAnswer: -330687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6104?\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (1551\/3234*28)\/(28\/(-98))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 s when three letters picked without replacement from tssstttuttututtu?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 - 1216624\nAnswer: -1216624.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gtgttllggt. Give prob of picking 3 t and 1 g.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 333795 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 3*t, 0*t - 4*t + 20 = 0. Let j(r) = -r**2 + 2*r + 3. Calculate j(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4749 - 9497\/2. Let q(j) = -j**2 - j + 3. Let t = -3 + 6. Let y be q(t). Which is smaller: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.18803+453389.07\nAnswer: 453389.25803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-134 - 9 - 253)*(2*z + 1 - 3*z + 1) + 2*z + 1 - 1.\nAnswer: 398*z - 792","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1\/51*-12*(-51)\/(-51)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 47\/11 + -765\/143. Let t = -6 + 10. Suppose -4*s - 8 = t*s. Is j less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a**2 - 2*a - 1. Let r(z) = -z**2 + z. Let i = 13 - 17. Suppose 25*g + 6*g + 23 = 8*g. What is g*k(o) + i*r(o)?\nAnswer: 2*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 times 5992?\nAnswer: -2996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*t + 13*t - 16. Let a = 7 + t. Suppose 0 = a*y - 0*y - 4*v - 320, -5*v = 25. What is y rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 275213 to the power of 1\/2, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3982753.\nAnswer: 1031, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = k**3 - 17*k - 145. Calculate w(-6).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 727947 and 727947.\nAnswer: 727947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = l - 1, -5*l - 5*i + 2 = -33. What is the lowest common multiple of l and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 793 in 2, 3.9, 2\/5?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 98, 85, 48, -25, -146, -327, -580?\n\"Answer: -2*b**3 + b + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7 - -221621?\nAnswer: 221613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 102, 106, 110, 114, 118, 122?\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 295 and 1355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 5*y - 60, 2*d = 6*d - y + 39. What is the lowest common multiple of 14\/(-12)*(3 + d) and 2*1\/(4\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 - -3. Suppose 0*i + 4*i - 16 = s. Suppose -5*o - 32 = -i*u, 2 = -5*u - 5*o - 3. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h - 14. Let z be o(-17). Let q(b) = z*b - 7*b + 3*b + 2*b. Let v be q(5). Solve -d - m = -5*d + 24, v*m - 5 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 212525262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, 29\/4, 0, 0.1, -596, -1\/3 in descending order.\nAnswer: 29\/4, 0.4, 0.1, 0, -1\/3, -596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -26979*x - 188894. What is b(-7)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4 (base 5) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 + 366*f - 2997. Let u be w(8). Let g = 113\/6 - 19. What is the second biggest value in -2\/3, g, -29, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from qwqqwwqqwqqqw?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 675 and 250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 2*i + 5*a, 0 = -4*i + 6*a - 2*a + 32. What is the third derivative of -3*t**4 + 3*t**2 + 7*t**i - 7*t**3 wrt t?\nAnswer: -72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2250 divided by -9?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -60, -58, -56, -54, -52, -50?\n\"Answer: 2*x - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 243 divided by -21.\nAnswer: -81\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, d: 1, t: 2, n: 6}. Give prob of picking 2 t.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 6496 - 1152 = 0. Let u(p) = p**2 - 7648 + j. Let v(s) = 4*s**2. Give v(u(l)).\nAnswer: 4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a centimeter in micrometers?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.723344 * -228.\nAnswer: -164.922432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 56  (b) -1\/3  (c) 133  (d) 2\/11  (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -4*x - 10, 0 = -2*x + 3*d - d. Let l(k) = -k - 1 + k**2 + 3*k**2 - 3*k**2. What is the units digit of l(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244 is divided by 70?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 167 = 9. 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 12\/7 of a week in minutes?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -13.3 - -12.15. Let u = -1.2169 - x. What is u rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ewfyxffyxfx. Give prob of picking 2 y.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*c - 192 = -8*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 - -5) + -9 - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 92 - 71. Let m(s) = -24*s - 14*s - 17 - a*s. Let i be m(4). Round i to the nearest 10.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, c: 6, x: 3, s: 7}. Give prob of sequence tt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3*r + 206. Let m(l) = -l**3 - 6*l**2 - 10*l - 5. Let z be m(-4). Let h be -2*z\/(-6) + -1. Is t(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.17 in 1, 146358, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 0.01+-178.89\nAnswer: -178.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 5*t = 0, 0 = -3*r + 8*r + 2*t. Suppose r = -4*z + 148 - 132. Solve z*i - 5 = 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24219084.6 rounded to the nearest ten thousand?\nAnswer: 24220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1\/(((a\/(a*a**(1\/5)))\/a)\/a)*(a**(3\/2)*a)\/(a\/a**(-3\/8)))**(-24) assuming a is positive.\nAnswer: a**(-519\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 2 = -x - 2, 5*k - 10 = 2*x. Differentiate -v**k + 13*v**4 - 186 + v**2 + 0*v**2 - 14*v**4 - 5*v**3 with respect to v.\nAnswer: -4*v**3 - 15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 + 2. Suppose -11*j + 69 = -p*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1031*l**2*q**2 - 197*l**2*q - 2*l - 156559*q**2 wrt l.\nAnswer: 2062*q**2 - 394*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -85313 divided by 72\nAnswer: -85313\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -23.9?  (a) 4  (b) -5  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6063, -24230, -54497, -96858, -151307, -217838, -296445, -387122?\nAnswer: -489863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.4 + 0.1. What is the smallest value in 0.1, -2, q, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -291, -465, -639, -813, -987, -1161?\nAnswer: -1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4832\/143553 - -4\/1317. Calculate the common denominator of -39\/5 and m.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in eighteen fifths of a millennium?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 80 - 77. Let f(y) = y**3 - 4*y**2 + 3*y - 2. Let v be f(3). Let x(z) = 4*z - 1. Let d(w) = 3*w. Calculate k*d(s) + v*x(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h + 9 = 27. Put h, 3, 0 in decreasing order.\nAnswer: 3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -41\/47 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -76007 at most as big as -76502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1135*d + 164 - 164 + 1993*d**2 + 732*d + 1135*d wrt d?\nAnswer: 3986","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 256 - 1554 + 261 + 776 + 261 - 3*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 3) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32079, 64154, 96229, 128304?\nAnswer: 160379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/(-2) + -3)\/(-3). Suppose -9 = -3*j + 6, r = -5*i - 4*j + 115. Solve -4*s - 7 = -i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -3*r**2 - r**2 + 2*r**2. Let n be (-12)\/(-48) - 14\/(-8). Let j(p) = -2 + 1 + 1 - p**n. Calculate j(z(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 + -7. Let a = -0.39 - -0.3. Let z = a + 0.49. Sort z, -3, s in ascending order.\nAnswer: s, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 53265822, 53265826, 53265832, 53265840, 53265850?\nAnswer: 53265862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 275 + 582 = -4*a + 249, 0 = -18*a + 5*d - 161 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2493 rounded to two decimal places?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1)*((-16*p**3 + 5*p**4 + 16*p**3)*(4 - 4 - p) + 7*p**5 + 9*p**4 - 9*p**4 + (p**4 - 2*p**4 - p**4)*(3*p - 8*p + 3*p) + 0*p**2 - 2*p**5 + 0*p**2).\nAnswer: 8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*w**2 + 6602*w + 11476*w + 4919*w.\nAnswer: 3*w**2 + 22997*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-20))\/(88\/198)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1403 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 4:43 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = o + 2*u - 1501, -62*u + 58*u - 1525 = -o. What is the thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -a**2*i**3 + 2*a**2*i**2*v - 29*a**2*i - a*i**3 - 2*v - 36 wrt a.\nAnswer: -2*i**3 + 4*i**2*v - 58*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 58609 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -318 - -317.672. Let l = c - -0.628. What is the smallest value in 0, -30, -0.1, l?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 230 in 0, 9, 0.4, -1\/38, -0.07?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 26 = -f, -11*j + 5*f - 58 = 40 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10 - -320030?\nAnswer: 320020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4401 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: Solve 3*d - 5 + 9 = -2*k, -5*d + 5 = k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.013, 0, 0.1?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*m + m - 6*m)*(2354 - 789 + 2717 - 855).\nAnswer: -34270*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 + 7*o - 1. Let s be i(6). Suppose 100 = s*l - 0*l. Suppose u - 15 + 65 = 3*v, -5*u + l = 3*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 5*z - 4, 0*k - 2*k = -2*z - 8. Solve -5*r + 3*r = -k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.4379 or -1.58?\nAnswer: -1.58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -3788  (b) 5  (c) -25  (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -1587*b - 37106. Give x(-23).\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1033367171?\nAnswer: 2273, 454627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -59 + -27 - (-4 - -19 - (35 - 34)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -11*l - 100. Let o be w(-9). Let i(j) = 6*j**3 - 3*j - 2. Calculate i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 o when two letters picked without replacement from cvcvovocqkvccck.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the second derivative of -3\/2*n**2 + 3 + 17*n + 0*n**3 - n**4. Let c(a) = -3*a. What is c(r(h))?\nAnswer: 36*h**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7554982787.\nAnswer: 11, 19, 83, 457, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (2614 - (11 - 0)) + -7.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) 4  (c) 6.9  (d) 0.3  (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -16, 1\/5, -0.898, 0.5?\nAnswer: -0.898","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3821482213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2067 is divided by 207?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 286090*p + 73036 wrt p.\nAnswer: 286090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1588.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.0871 - -110.1871. What is k rounded to 0 dps?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 16098729 or 16098817?\nAnswer: 16098817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 - -11101?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 18*p - 666 + 360 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -310 - -165. Let w = z + 144.66. Let g = 1.34 + w. What is the third smallest value in -2, -3, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (21\/28)\/((-3)\/36). Let t be 3\/(q\/3) + 22. Solve 0 = 5*p - 3*o - 7 - 15, -4*p - o + t = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -83 (base 15) in base 14?\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, m: 1, a: 3, r: 4, p: 2}. What is prob of sequence arba?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.8 - 1. Let n be (14\/77 + 108\/(-231))*1. Which is the third smallest value?  (a) z  (b) n  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1012119, -2024245, -3036379, -4048527, -5060695?\nAnswer: -6072889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17269*-1.\nAnswer: 17269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 4*x - 56, 4*x + 2*t + 2*t - 32 = 0. Differentiate -2*p + 25*p - x*p - 4*p - 53 + 3*p**2 with respect to p.\nAnswer: 6*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -13*b. Let n(v) = v. Let c be (2 - 1)\/(-2 + 1). Let z(s) = c*k(s) - 6*n(s). Let p(i) = -i. What is z(p(w))?\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 214 is divided by 209.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 762 and 213.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 divided by 10645992?\nAnswer: -17\/5322996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -672bb (base 12) in base 13?\nAnswer: -4a441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (36\/(-33))\/((-154)\/(-847)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 967 + -1722. What is b rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) be the first derivative of n**6\/39 + 24*n**5\/65 - 8*n**4\/13 - 68*n**3\/39 + 63*n**2\/13 - 4*n + 732. Let m(g) = 0. What is g?\nAnswer: -13, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3 = 1. Let v(n) = -n + 4. Calculate v(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 60*a - 754 - 555 - 311. Solve 3 + a = 6*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 + 35. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 415 - 322. What are the prime factors of 1\/((2\/1461)\/(62\/v))?\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2\/7 + 74*v\/7 + 213\/7.\nAnswer: (v + 3)*(v + 71)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of -q**6\/120 + 3*q**5\/20 - 25*q**4\/24 + 54*q**2. Find the second derivative of t(d) wrt d.\nAnswer: -6*d + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:25 AM and 10:53 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of -l**5\/60 - l**4\/8 - l**3\/6 - 4*l**2. Suppose 14 = 3*z + 5. Let b(g) = g**2 + 2*g + 1. Give z*b(h) + 2*s(h).\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o + 1. Let g(d) = -2*d - 1. Let j(u) = -4*b(u) + g(u). Let s(p) = 5*p - 11. Let a = 11 + -4. Let n(h) = a*j(h) - 3*s(h). Differentiate n(w) wrt w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -169828, -170028, -170230, -170434?\n\"Answer: -j**2 - 197*j - 169630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -111 + 58. Let a = g - -145. Let f = a - 93. Is f at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -192, -282, -474, -804, -1308, -2022, -2982?\n\"Answer: -6*s**3 - 15*s**2 - 3*s - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (30 - 20 - -8 - 18) + (8 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 8 - 1)*(1 - 4*d - 1) - 1 + 1 + 2*d in the form p*d + k and give p.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 131828824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8.88311um to meters.\nAnswer: 0.00000888311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t + 5. Let d be l(-7). Is 1\/d*2*-17 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 11 = -5*d, 18 = 4*d - o + 32 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 70\/4*((-4191)\/(-165) - 27)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-40)*-4 - 51\/(-5). Solve d + d = v for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18)\/((-2592)\/18)*-352.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -633\/112 + 40\/7. Let c(r) be the first derivative of -i*r**4 - 6 + 1\/8*r**2 + 1\/4*r**3 - 1\/2*r - 1\/20*r**5. Factor c(n).\nAnswer: -(n - 1)**2*(n + 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (138 - (0\/3 - 1))*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 84.8 + -84.4. Put -25, h, -0.03 in decreasing order.\nAnswer: h, -0.03, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u + 2*u - 6*u. Let t(s) be the third derivative of 0 + 0*s**3 + 1\/12*s**4 + 4*s**2 + 0*s. What is t(n(i))?\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -8*m**3 - 8*m**2 + 6*m + 3. Let q be t(6). Let h = q - -4294. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -3, 2\/19, -2\/15, -1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -54.044 - -0.044. Let d = t + 53.39. Round d to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2 - 4. Calculate the remainder when 5 is divided by k\/(-6)*(5 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 31*y**2 - 43*y - 77. Let z be w(9). Calculate the greatest common divisor of z and 89.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5572898333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (37\/(-111))\/(3\/(-117))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 71793.52l to millilitres.\nAnswer: 71793520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*i**2 - 82040*i - 19728500.\nAnswer: (i - 9350)*(9*i + 2110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9009 - -86144. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 978 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 319942070 or 319942069?\nAnswer: 319942069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -47946386*o**3*p - 9538*o**3 + 80*o**2 - 6 wrt p.\nAnswer: -47946386*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/9 in -1\/25, 1\/5, -1\/5, -1\/7, 2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 27257, 218552, 737867, 1749212, 3416597?\nAnswer: 5904032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, 251, 907, 2219, 4415, 7723, 12371, 18587?\nAnswer: 26599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -234, -904, -2020, -3582, -5590?\nAnswer: -8044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3775\/1406 - -75\/37. Find the common denominator of -29\/20 and y.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 80164, 160343, 240540, 320755, 400988, 481239, 561508?\nAnswer: 641795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 25\/(-13) - 27\/351.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17553?\nAnswer: 3, 5851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2080\/7 + 298. Which is the nearest to -1?  (a) -5  (b) t  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 15, 62, 1, -2, 0.\nAnswer: -2, 0, 1, 12, 15, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4575 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/9))**(45\/4)*(r*r**0)**(-6\/37)*(r**(-2\/39)*(r\/(r**(-6)*r))\/r)**(-12\/7) assuming r is positive.\nAnswer: r**(-75055\/6734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*a**5 + 8*a**4 + 364*a**3 + 120*a**2 = 0.\nAnswer: -5, -1\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 188507866 to the nearest integer?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 9*s. Suppose 9 + 17 = 13*h. Suppose -h*a = m - 1, a - 4*m - 32 = -3*a. Let c(o) = 6*o**2 - 15*o**2 + a*o**2. What is l(c(d))?\nAnswer: -54*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -110515.2309 + 110521. Let j = z + -0.0491. Round j to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 324 and ((-70)\/(-21) + -3)\/((-1)\/(-3)) + 19?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 27*b**3 + 4*b**2 + 3*b - 4. Let a be w(2). Which is smaller: a or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from {a: 2, q: 2, v: 1, g: 6}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 PM and 7:10 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 10:53 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 7 + 2 = -4*i, -7*i + 19 = -5*j. Put -8, 143, j in ascending order.\nAnswer: -8, j, 143","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -21659 + 25929. List the prime factors of g.\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 26*c**4 + 25*c + 8*c + 3*c wrt c.\nAnswer: 312*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.8 from -37.\nAnswer: -37.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/228307464 and -59\/3626?\nAnswer: 228307464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -502*u + 9 - 472*u - 3 + 970*u.\nAnswer: -4*u + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -8892.96 - -8893. Which is the biggest value?  (a) 1  (b) 34  (c) 3  (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, 2, 5 in decreasing order.\nAnswer: 26, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1361 + 1?\nAnswer: -1360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000015266 to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 330336 is divided by 47184?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 174651, 349306, 523961, 698616, 873271?\n\"Answer: 174655*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.39104033 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 6*n = 9. Let b be 1 + (-4)\/12*n. Suppose -3*d - b = -4*t, 0*d + 2*t = -5*d + 14. Calculate the greatest common factor of d and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w**3 + 3*w**2 + 15377*w + 7. Calculate c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (18\/((-1512)\/(-12)))\/((-14)\/245)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -193, -311, -413, -499, -569?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -342295, -687253, -1032193, -1377109, -1721995, -2066845?\nAnswer: -2411653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-6))\/(12\/18).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m = 3*b - 6 - 20, 17290*b - 17288*b = 20 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 15 - (8 - -30) - -9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q - 17*q - 22*q)*(-76 + 79 - 194).\nAnswer: 7831*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -41\/26 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -4*d**2 - 5*d - 8. Calculate x(5).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -221 + 218 + (-1 - (4 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 83\/3069054 and 26\/13469737.\nAnswer: 242455266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -21554.902 to the nearest ten.\nAnswer: -21550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 522905907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1494)\/(-48))\/((-3)\/(-2)). Let d = -921\/44 + u. What is the nearest to -1 in 1\/5, d, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 925785 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39519.\nAnswer: 3, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/65  (b) 3  (c) -0.6  (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-77)\/(-21))\/(528\/288)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47199990 = b + 2*j, 3*j + 5884094 = 2*b - 88515921. Round b to the nearest one million.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -297*u**2 + 155*u**2 + 152*u**2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -6849228 divided by 2\nAnswer: -3424614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (55 + 1)*2\/4. Suppose 0 = 27*f - 29*f + u. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**3 + 8*d**2 + 7*d + 4. Calculate c(8).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wnnnwwnwwnnnnn. Give prob of picking 2 n and 2 w.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(1008) + 0 + -1 - sqrt(1008))*-3 + -5 + ((-2 + sqrt(1008) + 4 + sqrt(1008) - sqrt(1008)) + sqrt(1008) + sqrt(1008) - sqrt(1008))))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 3 = -0. Let g be x + 174\/(-4)*(-2)\/(-30). Put -2\/5, 2, g in descending order.\nAnswer: 2, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000020632 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxxxxxxx. Give prob of picking 3 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -20120110 (base 5) to base 9\nAnswer: -264335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.4 and -53.\nAnswer: -51.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.676 times 3?\nAnswer: 2.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 + 5*b**2 + 42.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -356 - -384. Let w be (b\/63)\/((-4)\/(-36)). Let s be (-1)\/4 + 113\/4. Calculate the greatest common factor of s and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 23304320*f**6 - 5034064*f**2?\nAnswer: 2796518400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1435*v + 2308*v - 1692*v to w*v + f and give w.\nAnswer: -819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -4937 or -5046?\nAnswer: -4937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -2*c**3 - 2*c**2 - 6*c - 39. Let w be a(-3). Solve -4*p + w = 27 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 316322 - -66?\nAnswer: 316388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 2 + 3)*(2898*q - 193441118 + 193441118) to the form b*q + i and give b.\nAnswer: 5796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 42947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 71\/9 + (9\/3)\/27. Let p(v) = v**3 - 8*v**2 - 2*v + 8. What is p(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*f**3)*(-10 - f - 10 + 13).\nAnswer: 2*f**4 + 14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2321995?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9155 is divided by 1128.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 - 2. Let u be (2\/(-4))\/(-1 - 24\/(-16)). Let p(z) = -2*z**2 - 43*z - 87. Let q(m) = u*p(m) + 3*o(m). Find the first derivative of q(c) wrt c.\nAnswer: -2*c + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*c + 46*c - 50 = 0. Let o be (0 - 7)*(1 - 2). Is c at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-8)\/28*1106\/(-48) and 49\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 4*t + 10. What is the least common multiple of (-4)\/(-22) - 140\/(-77) and (1 - -23)*t\/(-12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*l**2 + 2*l**2 - l**2)*(1 + 6 - 3).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9932\/(-494) - (553 + -573).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 315605 a multiple of 395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - 0 - (0 + 3). Let v be 9\/6*r + -52. Let s = -19 - v. What is the greatest common divisor of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1948918 is divided by 149915.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8610.5876 + 8625.6. Let d = 24 + -39. Let g = u + d. What is g rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 256 + -252. Find the second derivative of l*u - 6*u + 0*u**3 - 38 + 7 - u**4 + 19*u**3 wrt u.\nAnswer: -12*u**2 + 114*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 + 5 - 70*o - 118*o.\nAnswer: -188*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -404.6 - -406.249. Round o to one dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 5*y = 12740, -3*t = -4*t + 5*y - 3185. Let w = 7185 + t. Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1645504896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**3\/5 + 47342*w**2\/5 - 283917*w + 2129040 = 0. What is w?\nAnswer: 15, 47312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5 in -1, 39680, -0.1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 16, 35, 5, 0.\nAnswer: -1, 0, 5, 16, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**3 + 2025920*i**2 - 303904875*i + 11396643750.\nAnswer: (i - 75)**2*(i + 2026070)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2729 - -2733. Let j(r) be the first derivative of -d*r + 2*r**4 + 2\/3*r**6 + 11 - 6*r**2 - 8\/3*r**3 + 12\/5*r**5. Determine u, given that j(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -0 + 5. Let j = 3 - z. Let p(v) = -7*v. What is the units digit of p(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -20499046 != -20499052?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -18*t - 92. Let n be g(-16). Suppose -189*c + n*c = -28. Which is smaller: c or -17\/4?\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9257.\nAnswer: 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4399, -35033, -118157, -280015, -546851, -944909, -1500433, -2239667?\n\"Answer: -4374*f**3 - f**2 - 13*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -15 or -42?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 + 12*s + 39. Calculate the smallest common multiple of n(-5) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3231834.\nAnswer: 2, 3, 53, 10163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15.56 - -18.56. Which is the closest to 0?  (a) z  (b) -880  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -5*q**2 - 38*q + 7. Let d be g(-7). Suppose 0*j - 74 = -5*c - j, 0 = 5*c - 3*j - 58. Calculate the highest common factor of d and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 532 minutes before 7:03 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -d**2 + 11*d - 5. Let t be c(10). What is the highest common factor of t and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7 - 6021*c - 3*c**3 - 6010*c - 6009*c + 18046*c as m*c + p*c**2 + f + j*c**3 and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 9, h: 3}. Give prob of sequence hb.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 5 = -3*s. Suppose x = 5*j + 19, -5*j + 41 = 5*x - 3*j. Let h = x - s. Solve 6*w + h*o = 4*w - 10, 25 = -5*w + 2*o for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4899 + 4901. What is the closest to c in -0.3, 0, 0.076?\nAnswer: 0.076","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5416917631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 5 = 16. Suppose -5*w + y*h + h = -248, 0 = w + 3*h - 61. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 30139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1851476 and 3828.\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -864276 divided by -14?\nAnswer: 61734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = a**2 - 1 + 1. Let v(h) = 16*h - 10. Let u(q) be the first derivative of 5*q**2\/2 - 3*q - 2. Let w(y) = -10*u(y) + 3*v(y). What is w(s(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is -741\/4 at most as big as -186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5817 - 5841. Is n greater than or equal to 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + i - 8. Let g(u) be the first derivative of -2*u**3\/3 - u**2 + 9*u + 210. Calculate -3*g(o) - 4*y(o).\nAnswer: 2*o**2 + 2*o + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2121000021011 (base 3) in base 13?\nAnswer: -3932b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + (9 + -2 - (-1 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 + 1)*(-2*v + 2*v - 2*v)*(-32 - 95 + 74) + (5 - 3 - 1)*(-2 + 2 + 2*v) + 3*v - 3*v + 2*v.\nAnswer: 640*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24.943 - 0.057. Let y = -25.1 - s. Let d = 2 + -2.5. Which is the third biggest value?  (a) d  (b) y  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1356, -3254, -5746, -8832, -12512?\nAnswer: -16786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x + 3*x - 3*x)*(-450 + 1721 - 916)*(2*x**2 - x**2 + 0*x**2 + x**2 - 3*x**2 + 0*x**2 + (-2*x - x + 2*x)*(6*x - x - 4*x) + 1 - 1 - x**2).\nAnswer: -2130*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 15*s + 16*s - 5 = 0, 5*r - 15 = 5*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 41 - 19. Let r be 13384\/24 + -7 + 4\/(-6). Calculate the highest common factor of r and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 5*l = 0. Let a = 8 - 5. Suppose a*d - 2*d - 39 = l. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 167 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 670077 by 12.\nAnswer: 223359\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 16\/285 and -11\/1140?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*l**2 - 475*l**3 - 123*l**3 - 239*l**3 + 11*l**2 as a*l**3 + h*l + s + f*l**2 and give a.\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-11 - -33) + -10 + -24 - -8) + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -5*t - 26, -t - 10 = -0*t + 2*f. Suppose 3*r = -13*r + 128. Suppose 1 = 6*a + 13. Sort r, t, a in decreasing order.\nAnswer: r, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 268*d - 64 = -5*k + 266*d, k = -2*d + 8 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 less than -152.15822556?\nAnswer: -205.15822556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, -94, -1, 2\/3, 1, -0.2507?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 329898*p - 329899*p - y = 44, -3*p = y + 122 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(2 + sqrt(1573) + 2) + 3*(sqrt(1300) - (0 + sqrt(1300) - sqrt(1300)))*-5)*-6.\nAnswer: -24 + 834*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122 (base 3) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 359953 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 8*a + 7. Let r be i(6). Let b = r - 21. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3.87 times -0.2\nAnswer: 0.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 100\/30*6 + 13550\/(-675)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-175 + 198 + -109)*(-1)\/2*-1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*g + 28 = 3*g. Let q(k) be the second derivative of 0 - 4*k**2 - 1\/12*k**4 + 6*k - 3\/2*k**3. Give q(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -26*z. Let s(q) be the second derivative of 0*q**2 + 8*q + 1\/3*q**3 + 0. Calculate s(d(t)).\nAnswer: -52*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = 1 - 13. What is the nearest to 0.1 in k, 4\/7, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6, 1047, 1, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -5*o**2 - 4*o - 2. Let y(w) = 2*w**2 + 2*w + 1. Determine 6*n(u) + 11*y(u).\nAnswer: -8*u**2 - 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) be the first derivative of -p**2 + 1\/3*p**3 - p + 43. Suppose -3*a - a + 16 = 0. Determine u(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33418 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 1487800 to the nearest 10000.\nAnswer: 1490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**3 - 2*t**2 - 4*t - 2. Let g = 267 + -323. Let l be g\/26 + (304\/(-52) - -6). Calculate w(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the first derivative of -2*k**3\/3 - 1. Let w(q) = 1 - 1 - 75*q**2 + 73*q**2. Give w(n(i)).\nAnswer: -8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 10282382 and 659832.\nAnswer: 123388584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 74691, 148069, 221447?\nAnswer: 294825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5492413.5 rounded to the nearest one thousand?\nAnswer: -5492000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8817?\nAnswer: 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 14\/24 - (-6)\/(-18). What is the third smallest value in z, 1\/12, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = 2*z + 11, 3*a + 4 = 811*z - 806*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 563*o - 3171*o - 2193*o - 567*o.\nAnswer: -5368*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -186.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61326 + 159352 = 180*t - 157*t. List the prime factors of t.\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -557, -557, -569, -599, -653?\n\"Answer: -k**3 + 7*k - 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 197551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8610 + 4552 + 4610 = -24*i for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*p**4*v - 11556*p**2*v + 2*p*v - p - 18*v + 4 wrt p.\nAnswer: -60*p**2*v - 23112*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 45 + -40 + -11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g - 3*y + 2*y - 32, -3*y + 32 = 4*g. Calculate the common denominator of 29\/5 and 0\/(4*6\/g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 4*j + 4*b + 60 = 0, -4*b = 5*j - 20. Suppose 4*k + 44 = j*k. Solve 23*d - k*d**3 - 10*d**2 - 4*d - 155*d**3 - 7*d + 56*d**4 = 0.\nAnswer: -2\/7, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c**5\/3 + 4*c**4\/3 - 5*c**3\/3 = 0. Calculate c.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -20, -32, -34, -26?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3029 - -9210. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1366 by 81879.\nAnswer: 1366\/81879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 1372 = -1472. Calculate the least common multiple of 0 - 2 - (-26 + -8 - -8) and o.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-1)*b\/((b*b\/(b\/(b*b**3*b)))\/b)*(b*b**(1\/2)*b*b)\/b**(2\/7)*(b*b\/(b*b\/b**(-1)*b))\/b**(-5)*b**(-3\/4)*b*b**1*b assuming b is positive.\nAnswer: b**(97\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 1832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7.8075 - -9.15. What is d rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2595 - -12504. Is q a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150 + 95 = 7*c. Let v be 4*(c\/(-10) + 4). Solve v*h + 14 + 4 = 5*s, -2*h - 6 = -2*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*l + 4*v - 193 + 201, 2*l - 4*v = -10 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 3*h**2 + h - 2. Let w be y(1). Let c = 3 - 6.5. Let q = -3 - c. Sort q, 3\/4, w in increasing order.\nAnswer: q, 3\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 4, -2*p - 6 = -2*a - a. Suppose -p*k + 170 = -40. Let h = 76 - k. Solve d - h = 3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v\/(v**(-1)\/v))**(-50)\/(v**(1\/6)\/((v**6\/v)\/v)) assuming v is positive.\nAnswer: v**(-1177\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 216\/19, 0, 0.08, 173?\nAnswer: 216\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qj when two letters picked without replacement from {l: 2, z: 1, k: 5, c: 2, j: 5, q: 2}.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -2*i - 4*h, -2*h = 6*i + 2 + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -355 and 4?\nAnswer: -1420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0165815 times -0.316?\nAnswer: 0.005239754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-108)\/(-78)*(-1560)\/(-900). Solve -6\/5*b**4 + 1\/5*b**5 - o*b**2 + 0 + 4\/5*b + 13\/5*b**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 92 + -93. What is the units digit of (3 + -1 + -366)*(g - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**2 + 1526*l - 46680 = 0. Calculate l.\nAnswer: -1556, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 4499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -2*n**3 + n**2 + n + 1. Let x be j(-2). Suppose 0*l - l = -x. Let d(r) = -r**2 - 64*r - 609. Calculate the remainder when d(-13) is divided by l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s*s*s**(1\/11)*s)\/s*(s*s*s**(-2\/23)*s)\/s*(s\/(s**(-6\/11)\/s*s))\/(((s*s\/(s\/(s**(1\/5)\/s)*s)*s)\/s)\/s))**19 assuming s is positive.\nAnswer: s**(200678\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1206, -1416, -1626, -1836?\nAnswer: -2046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 364229991 and 3411?\nAnswer: 3411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*d - 111 = -6. Let p be (-204)\/(-10) + (-8)\/20. Let i = p - 0. Solve 0 = 4*y + r + d, 0 = 5*y - 10*y - 5*r - i for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 827987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-7\/3)\/a*a\/(a*a**(-5)))\/(a**(-1\/5)\/(a\/(a*(a**(-10\/9)*a)\/a))) assuming a is positive.\nAnswer: a**(179\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.8206 + -4369?\nAnswer: -4370.8206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**4\/5 + 1884*b**3\/5 + 85914*b**2.\nAnswer: 2*b**2*(b + 387)*(b + 555)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l - 3*l = 3*l. Suppose l*t - 3*t = -21. What is the greatest common factor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of -s**5\/5 + 459*s**4\/4 - 314*s**3\/3 + 1857. Find the third derivative of h(n) wrt n.\nAnswer: -24*n + 2754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*q**2 - 41*q + 289.\nAnswer: 4*q - 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -15\/11  (b) 2  (c) 0.04  (d) 3\/7  (e) -0.093\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22001020232 (base 4) to base 14.\nAnswer: 4c5062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.028182808 rounded to five decimal places?\nAnswer: -0.02818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 56, 5, 89, 2.\nAnswer: 2, 5, 56, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -21260, -21248, -21242, -21254, -21296, -21380, -21518, -21722?\n\"Answer: -2*t**3 + 9*t**2 - t - 21266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2020?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in 2\/5, 0, -0.1, -42, -2\/59?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00130648746 rounded to 6 dps?\nAnswer: -0.001306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4548?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2 - 81*c.\nAnswer: 3*c*(c - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1872 and 7398.\nAnswer: 769392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - n**2 - 3 + 3*n**2 + (-4*n + 2*n + 4*n)*(0 + 0 - 5*n))*(-n + 1 - 1).\nAnswer: 8*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6682.93227ms to weeks.\nAnswer: 0.000011049821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*x + x - x)*(-x - x + 4*x) + (-7*x**2 + 0*x**2 - 3*x**2)*(-6 + 4 - 4).\nAnswer: 66*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -426, -1701, -3822, -6783, -10578, -15201?\n\"Answer: z**3 - 429*z**2 + 5*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 680\/153 + (-4 - 0).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 72457638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(1\/24)*d*(d\/(d*d\/d**(-6)))\/d)\/((d\/(d\/(d*d**(1\/3)\/d*d)))\/d)**(-48) assuming d is positive.\nAnswer: d**(217\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 divided by -43494.\nAnswer: 1\/3954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -50. Let z(y) = 38*y**2 + 4. Let f be z(2). What is the greatest common factor of n and f?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/5 at least 3\/431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2*((-6)\/2)\/3. Suppose 2*z = -z + 15. Suppose 5*w = 3*v + 11, -g = -3*v - z*w + 27. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4224*q*t**4 - q*t**2 - 7454*q + t**2 wrt t?\nAnswer: 101376*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -11. Let y be 81\/g*10\/(-15). Suppose -y*c = -13*c. Solve -m + 7 = 4*u - 0, c = -3*m + 5*u + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*s**2 - 97606168028*s + 97606168028*s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 18342?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 3*d + 51. Let u be v(-17). Suppose u*m + 3*w = m - 167, 4*m + w - 642 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -110 + 130. Let j(c) = -2*c**2 + 5*c - 2. Let w be j(3). What is the tens digit of (-8)\/w*150\/l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8007 (base 9) to base 8\nAnswer: -13317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*t - 3*t - 3*t + 1266423074*t**2 - 1266423068*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -649284, -649280, -649278, -649278, -649280, -649284?\n\"Answer: -c**2 + 7*c - 649290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -45443, -45439, -45433, -45425, -45415, -45403?\n\"Answer: j**2 + j - 45445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24162036529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - -101110011010101111?\nAnswer: 101110011010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 + 5 + -7 - (-7 + -1) - 3) + -21?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -5*l - 10. Suppose s = -5*j + j - 12, -30 = 5*j + 5*s. Let x be a(j). Solve x = 2*r + 7 - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 3*g**2 + 2*g + 4 + 2*g - g**3 - 6*g. Determine l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2.70563656 + -2.485638. Let b = 0.22 - i. Round b to seven decimal places.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -59 (base 16) to base 5\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*h + 12*h - 120 = -3*b, -5*h - b + 165 = -3*b for h.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the third derivative of -i**4\/24 - i**2. Suppose -4*v + v = -24. Let j(h) = -6*h - h + v*h. Calculate d(j(w)).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 654746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/3*2)\/((-32428)\/802593)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 313871512*l + 307614612 wrt l?\nAnswer: 313871512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-20 - 55)*(-2)\/3. Let h = p + -46. Solve 3 = h*u - 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 3*p. Let y(o) = -3*o + 42. Let a be y(17). Let u be a - (19\/(-7) - 6\/21). What is l(u)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -a**3 + 8*a**2 + 10*a - 5. Let q be y(9). Solve 4*r = -0*r + q for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15 = 184*i - 179*i + 5*k, 4*k = -5*i - 17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -264 to the nearest ten.\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23 - -20. Let h = 2499 + -2500. Which is the closest to 1?  (a) 0.4  (b) 2  (c) i  (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -1, -9, -174 in descending order.\nAnswer: 5, -1, -9, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 2*s + 1)*(-2*s + 2*s + 2*s) + 6*s**2 - 3*s**2 - 4*s**2 - 3*s - 30583*s**2 + 2*s + 20100*s**2 + s as i*s + z*s**2 + c and give z.\nAnswer: -10488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 3*a + 5, -11 = -5*a + t + 2*t. Let s = -0.01 - -2.01. Let y = 1.9 - s. What is the nearest to y in a, -1\/2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 1599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 37, 74, 111?\n\"Answer: 37*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/59  (b) 2\/11  (c) 26\/7  (d) 4  (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*n + 16902 + 14302 - 2796 = 0. What is the remainder when n is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.051 minus -27?\nAnswer: 27.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*w**4 - 14*w**3 - 74*w**2 + 350*w + 1176.\nAnswer: 2*(w - 7)**2*(w + 3)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*h + 3*i + 20, 4*h + 157167 = 12*i + 157307 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of -n**7\/105 - 13*n**6\/30 - 4*n**5\/5 + 13*n**4\/6 + 25*n**3\/3 - 76*n**2. Factor o(i).\nAnswer: -2*(i - 1)*(i + 1)**2*(i + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 493, 494, 495, 496, 497?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -2*d + 3. Let c(g) be the first derivative of 4*g**3\/3 - 125. Give u(c(p)).\nAnswer: -8*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + 5*c**2 - 3*c + 1. Let w be u(3). Suppose -6 = -12*o + w*o. Does 15 divide ((-14)\/o)\/((-6)\/99)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-7 - -2) + (0 - -5 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.1  (b) 1\/7  (c) 0.2  (d) -3642.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 19458*-2*1\/6*13. Let l = 6071009\/72 + c. What is the common denominator of l and 121\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12396135 + 4906135. Round f to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-2)*(2\/8)\/((-522)\/4176).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*z + 2317531 = 24941667 + 17845864. What is z rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8084?\nAnswer: 2, 43, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-978)\/10269*(-3 - -6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes after 3:50 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**1*o*o*o**(-7))\/(o\/o**0)**(-38)*(o**(2\/5)\/o*o**(-1\/3)*o)\/(o**(3\/7)\/(o\/((o\/(o**(3\/2)\/o))\/o))) assuming o is positive.\nAnswer: o**(7379\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2\/67  (b) -39  (c) 0.13  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9290*l**3 - 3145*l**3 - 2999*l**3 - 3128*l**3.\nAnswer: 18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -27.0144 and -0.4.\nAnswer: 10.80576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 5, 1, 13.\nAnswer: 1, 2, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 56*t - 10. Let q(z) be the second derivative of -z**2\/2 + 2*z + 31. Let p(x) = q(x) + s(x). What is the derivative of p(n) wrt n?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.913931 to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 4 + 4)*(-5 + 5 + 2)*(4*w + 3*w + 3*w)*(0*w - 3*w + 4*w) to the form g*w**2 + m*w + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2096971*k**2 + 14723*k + 17.\nAnswer: -4193942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in 5, -0.9, -6\/355, 6\/29?\nAnswer: -6\/355","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + 20\/35 + (-6)\/(-210). Solve 27\/5 + b*g**2 + 18\/5*g = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2654 by -1410.\nAnswer: 1327\/705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*c = 7*c + 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5275 is divided by 47.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = m - 1. Let q(b) = -b**3 + 3*b**2 - 10*b + 27. Let x be q(0). Find the third derivative of -2*p**5 + 7*p**3 + 6*p**5 - 7*p**3 + x*p**m wrt p.\nAnswer: 240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1097455667.\nAnswer: 7, 11, 14252671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 38 + -75\/2. What is the nearest to 0.4 in 2, 3\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -351 + 384. Suppose 5*l + 34*y = n*y + 3616, -4*l = -5*y - 2887. List the prime factors of l.\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 151\/99 + -18\/11. Which is the smallest value?  (a) 2  (b) -0.2  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 0*n - 8 = n, 10 = 5*m + 4*n. Let f(r) = -2 + r**m - 7 + 3*r - r. Is f(-5) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38046.\nAnswer: 2, 3, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 21 = 21. What is the highest common divisor of 7 and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 11452*v - 22291. Determine s(2).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.04 smaller than 1.214793?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3564 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 + 43. Suppose -4*u + t = 4*v, -v + 2*v - 3 = 3*u. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*4*(0 + sqrt(7) + -2 - (sqrt(7)*-2 + 5))**2.\nAnswer: -840*sqrt(7) + 2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2186401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 130 and 31810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -26 - -20378622?\nAnswer: 20378585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 359 divide 1054742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 + 0. Let h be (s*(-2)\/6)\/(-1). Suppose -p - 4 + 11 = h. What is the lowest common multiple of p and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -2*b + 334, -4*s + b + 296 + 35 = 0. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5 and 155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 + 7)*(-5*w - 9 + 2*w**2 + 9) in the form m*w**2 + f*w + r and give f.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w + 2*w - w + (-26 + 7 - 2)*(9*w - 25*w - w))*(-4*w**3 - 2*w**2 + 2*w**2).\nAnswer: -1424*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 7414.960937 plus -0.0251?\nAnswer: 7414.935837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2.3+482.0263912\nAnswer: 479.7263912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in v**3 + 6751456147*v**2 - 13502912482*v**2 + 6751456335*v**2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 111 and (-3776)\/(-104) + 4\/(-13).\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 447 a factor of 72816747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1341 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 are the prime factors of 1691918632?\nAnswer: 2, 211489829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (-6 + (-6 - -19) - -6)) + -5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 11) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.0636?  (a) -16\/21  (b) 2.7  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -188.849633 to 0 dps.\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:13 AM and 6:56 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 130062342 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -3*z. Suppose z = 3*j + 2*j - 50. Calculate the remainder when j is divided by 6 + -1 - (-1)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 6. Suppose -6*r + r + 5*g + 30 = 0, -9 = -3*g. Suppose -r*f = f - 20. Solve p = -f*c - 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6*71.892645\nAnswer: -43.135587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6631026, 6631028, 6631030, 6631032, 6631034, 6631036?\nAnswer: 6631038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185 is divided by 96?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13 - 7*t**2 - 13.\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*a + 68*a = -2*b - 0*b + 291, 5*a = 5*b + 135 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2298 + -2292. Solve -61 = 5*m - 4*d - 21, -m - 2*d + s = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -17754 - -475?\nAnswer: -17257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 350\/700*10\/(2\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -5*s - 2*n + 5, 4 = 4*n. Let j = 6 - s. Let k(l) = -l**3 + l + 22. What is the lowest common multiple of k(0) and j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*z = 4*z + 170. Suppose -5 = 2*m - z. Suppose -3*w + w = 4*l - 38, -m = 2*l. Is w 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 6.79053l?\nAnswer: 6790.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32 - 27. Let q(b) = -70*b + 72. Let r be q(1). What is the nearest to 1\/2 in r, d, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.5 - -2.5. What is the biggest value in 3\/5, d, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 25, -1, -7, -4, 1 in decreasing order.\nAnswer: 25, 1, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w**2 + 9*w + 11. Is 29 a factor of z(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -0.02, -32, 5, 1, 4 in ascending order.\nAnswer: -32, -0.3, -0.02, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 29, -2\/5, -5, -1, -100, -0.47?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of z**2 - 58*z + 1072*z**4 - 36*z**3 - z**2 - 1071*z**4 wrt z?\nAnswer: 12*z**2 - 216*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -3*c. Suppose 2*y = -2*y + 8. Suppose -y*s + 12 = 2*a, -4*s = 4*a - 2*a - 20. Suppose -26 - s = 5*h + 5*b, 2*h + 5*b = -27. Give z(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 3, -4, -2, 6201533, -3 in decreasing order.\nAnswer: 6201533, 3, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10111101100010000 - -10?\nAnswer: -10111101100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*g**2 - 2*g**2 - 8*g**2)*(-1 - 2 + 1) + 2*g**2 - 3*g**2 + 0*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 117\/28 and -99\/112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 42 - (36 - (-7 - (-1 + -16)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 135 + 450*p**2 - 235*p**3 - 408*p + 3*p + 55*p**4 + 5*p**3 - 5*p**5.\nAnswer: -5*(p - 3)**3*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 712 = -t, -5*z = 5*t - 1515 - 1945. Suppose -4984 = p + t. Round p to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**2*z)**(2\/107)*(z**(-1\/12)\/z)\/(z*z*z**(-3\/5)))**(32\/3) assuming z is positive.\nAnswer: z**(-1192\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Are 143184 and 143183 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 257, 323, 365, 383, 377, 347, 293?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 598 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 162 + -160. What is the third derivative of -7*u**4 - u**4 - 45*u**3 + 11*u**z + 44*u**3 - 44*u**2 wrt u?\nAnswer: -192*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/12*-3*20\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -8*2*3*(-21 + (3 - -17))\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 127 and 8.\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/((k*k**(-1\/2))\/k))\/k)\/k**(-3))**(-39) assuming k is positive.\nAnswer: k**(-273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2354 and 6094.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88576977*-1.\nAnswer: 88576977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25174 divided by 614.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 x when three letters picked without replacement from pukuuxxkfxxnx.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -419 = -18*k + 7303. Suppose 6*r - 51 - k = 0. Is r a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nen when three letters picked without replacement from nnennenennee.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -394959 and -0.5?\nAnswer: 197479.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(304) + sqrt(19) + (sqrt(19) - (sqrt(19) + 0) - sqrt(19)) + -3.\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -30300 + -10102?\nAnswer: -40402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 361 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -6560.63 equal to 1\/150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 34404?\nAnswer: -1\/5734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 5*f**2. Let x(t) = -15*t + 48. Determine x(j(z)).\nAnswer: -75*z**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -12 + 30. Let u(o) = o - 10. Let v(j) = 9. Let r(g) = -3*u(g) - 4*v(g). What is the units digit of r(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -36.87 + -0.13. Let j = n - -36.67. Let o = j + 4.33. Which is greater: o or -2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4597835.\nAnswer: 5, 11, 83597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 1925937 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-39)\/13)\/(9\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/((-735)\/18)*40\/(-12).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 34541903 to the nearest integer?\nAnswer: 5877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Do 3 and -203 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1472 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 14\/8 + (-2)\/(-8). Suppose -3*g - h*g - d = -26, d - 1 = 0. Let n = -2.006 - -0.006. What is the third biggest value in -1\/7, g, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6677706402 rounded to 2 decimal places?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -21126419, -42252840, -63379263, -84505688, -105632115, -126758544?\n\"Answer: -f**2 - 21126418*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 502 - 400. Calculate the lowest common multiple of a and 24.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6)\/90*5)\/(475\/285).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:33 AM and 9:17 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13\/(-234) - 25365340\/(-504)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 6 + 3)*(-5*f**2 + 4*f**2 + 3*f**3 - f**3) as w*f**2 + z + r*f + m*f**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 182390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*u**2 - 37*u**2 + 203*u**2 - 54*u**2 - 47*u**2.\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -v**6\/3 - 25*v**4\/4 - 3*v**2 + 15. Find the second derivative of o(n) wrt n.\nAnswer: -40*n**3 - 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10.6, -3, 1\/3799 in descending order.\nAnswer: 1\/3799, -3, -10.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from hghmg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1249 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -14371 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*x**4 - 2412*x**3 - 648810*x**2 - 59027292*x - 171307467 = 0. What is x?\nAnswer: -267, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 7 - 18 + 2*j**2 + 6*j**2 - j**3 + 10*j. Let n be s(9). Find the common denominator of 21\/n*22\/30 and -43\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0011766874 rounded to 6 decimal places?\nAnswer: -0.001177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 78*m**2*o**2 + 39*m**2 - 4537*o**2 + o - 1 with respect to m.\nAnswer: 156*m*o**2 + 78*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-15))\/(((-12)\/10)\/1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p. Let z(b) = 2*b**2 - 4*b + 2. Give 2*h(n) - z(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1264\/55 - 114\/5. Let x = 7 + -4. What is the closest to 2 in x, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 + 2 + 4\/10. Let s = 7139 + -7137. Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 8, j: 8, b: 1}. Give prob of sequence bn.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (105\/(-56))\/((-39)\/520).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 596 minutes after 7:29 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -152838 + 98424. Let v be (-4)\/(-6) - (-34244)\/(-3). Let f = j - v. What is f rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) -692  (b) 0.3  (c) 26  (d) -2\/11  (e) -101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -154*k**3 + 171*k**3 - 303*k**3.\nAnswer: -286*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -i**2 - 32*i - 556. Calculate t(-17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 5 + -92. Let z = f - -90. Suppose 3*s + 34 = h + s, 2*h + z*s = 54. Is h a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5545, 8897, 12249, 15601, 18953?\nAnswer: 22305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7230 and 238108.\nAnswer: 3571620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 PM and 11:10 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*g**3 + 2*g + 1 + 3*g + 2*g**2 + 4*g - 2*g**4 in the form q*g**4 + l + m*g + f*g**3 + i*g**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -21, -55, -99, -153?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -197.1 rounded to the nearest ten?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * 36.661\nAnswer: 3.6661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + -8826264.\nAnswer: -8826270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 + 5*h**2 + h - 2. Let i be n(5). Let g be 10 + 0 - 24\/6. Suppose 14 = g*q + 2. Solve -5*y = i*d + 10, -4 = 4*d - 0*y + q*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -105, 45630, 3\/5 in increasing order.\nAnswer: -105, 3\/5, 2, 45630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19910 + -17934. What is the greatest common factor of 2888 and o?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -65\/2 - -34. Let y(b) be the first derivative of -4\/3*b**3 - 1 - 3*b + o*b**2. Let n(i) = -5*i**2 + 4*i - 4. Give -3*n(a) + 4*y(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -8*n - 13. Let z be u(3). Let c = z - -82. Let r be (4\/(-10))\/(3\/c). Let w(q) = q**2 + 6*q. Give w(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 17 = 1101*p - 1096*p, 2*p = 2*x - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1738, -3474, -5220, -6976, -8742?\nAnswer: -10518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 3640 a factor of 1260643457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -1\/4, -40.3, 0.5, 0.4, 3 in descending order.\nAnswer: 3, 0.5, 0.4, -1\/4, -5, -40.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 159999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n**2*n))**(14\/13)*n**6\/n*((n*n*n**(-3)\/n*n)\/n)\/n assuming n is positive.\nAnswer: n**(12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0 - 15 - 30 - q**2.\nAnswer: -q**2 - 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + 33*4\/32. Let j = 3\/8 - t. Calculate the common denominator of j and -55\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 173*z**5 - 262*z wrt z.\nAnswer: 3460*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 2)*(-1474 + 2897 - 4*z - 1500) to o + c*z and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 2, w: 2, j: 1}. What is prob of picking 2 w?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 >= 37960\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 5*v - 89 = 5*o, v + 5*o = 16. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 244 - -344?\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 149321456?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/124 and -29\/5884620?\nAnswer: 182423220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 41 = 7. Suppose p - 4 = s, -p + 2*p + 3*s = g. Is 2 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 170.36*-32.2\nAnswer: -5485.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -70, -49, -28, -7, 14?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -p**2 - 9*p + 49. Let d be t(-11). Suppose 4*r - d*r + 4761 = 0. Calculate the remainder when r is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1981 is divided by 647?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 + 41*q**2 - 209*q - 29. Let i be w(35). Let h be (96\/(-14))\/(1\/(-7)). Suppose -h = -3*m - m. Solve 3*f + m = i*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3104)\/2037)\/32*(-9)\/33?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by -9\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 5 + (3*(5*-2*sqrt(1100) - sqrt(1100)))**2.\nAnswer: 1197904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l - 4 + 4)*(0*l - 3*l + 2*l) + (4*l - l + 0*l)*((-65*l - 900 + 900)*(-4 - 1 + 2) + 2 - 2 + l).\nAnswer: 585*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes after 1:11 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**2 - d - 2. Let m be p(2). Suppose -8 = -m*v - 4*h + 8, -2*v + h + 8 = 0. Solve 4*g + 20 = -s - 0*g, -2*g - 24 = v*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -24.77 to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 264205*a**5 + 27*a**4 + a**3 - 25662170*a**2?\nAnswer: 15852300*a**2 + 648*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2)\/(-26)*2)\/1. Let m(a) = -a**3 - 5*a**2 - a - 2. Let g be m(-5). Suppose 5*q + 2 = g*q. Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -47, -108, -183, -272?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/7 and 894\/1157 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2154 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 87944867 to the power of 1\/2, to the nearest integer?\nAnswer: 9378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 5*c**5 + 210*c**4 + 1825*c**3 + 3540*c**2 - 5580*c = 0.\nAnswer: -31, -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, c: 1, n: 2, a: 1, z: 4}. Give prob of sequence nln.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -176*v = -4251 - 7013 for v.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 401991 plus -6420523?\nAnswer: -6018532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/((i**(16\/3)*i)\/i*i)*i)**(-11\/3)*i*i\/(i\/i**(-21))*(i**(-16)\/i*i)\/i assuming i is positive.\nAnswer: i**(-190\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hvsu when four letters picked without replacement from hvhsu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**3 + 3*w + 3. Suppose 0*v + 2*v + 14 = -4*i, -4*v - 4*i - 8 = 0. Calculate p(v).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/12*24\/(-3). Let l = 2\/10757 - -21500\/75299. Which is the closest to -2\/9?  (a) l  (b) 6.3  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 69*a - 3549. Let n be r(53). Let o = 142 + -31. Is o at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 231264 - 10?\nAnswer: 231254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -14771 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6298 rounded to 2 decimal places?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1510 + 1509.7. Suppose 2*o - 67 = -3*t, -4*t - 4*o = -78 - 18. Which is the third biggest value?  (a) t  (b) 0.3  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20100 - -100020020000?\nAnswer: 100020110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 68 + -65. Suppose 3*f - g*f + f = 0. Solve -q + 5*q - 8 = f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:09 AM and 10:00 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-23961)\/(-4564) + 98\/(-8))*((-232)\/(-28) - 0).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that -2*k**4 + 19416*k**3 - 155224*k**2 + 232800*k = 0.\nAnswer: 0, 2, 6, 9700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -5917 smaller than -156383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1235*z - 1020*z = 726*z - 117957 - 189086 for z.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 345508 and 91458.\nAnswer: 3109572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -111100 (base 2) to base 16\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3\/7 - 8*u**2\/7 + 38*u\/7 - 4.\nAnswer: -2*(u - 2)*(u - 1)*(u + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -67  (b) 1\/4  (c) 1  (d) -4  (e) -0.0477\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 2*n**2\/5 + 784318*n\/5 - 2352972\/5 = 0.\nAnswer: -392162, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence egve when four letters picked without replacement from ggvrregevvrevgveyg.\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 51*n**2 - 16*n + 8. Does 26 divide c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10 - (11 + 10)) + 14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 65.19823cm in meters?\nAnswer: 0.6519823","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -984 = 106*v + 1675 + 839 for v.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 85 and 180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 2*a**2 - 2*a + 1. Let i be -5*3\/30*-4. Determine b(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -3\/5  (b) 0.1  (c) 13  (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -653961 by -11.\nAnswer: 59451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 794 = -4*w + 4*u, 0 = -2*w - 4*u + 408. Suppose -r = 51 - w. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1842 is divided by 72.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 665426 and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/6*3)\/((-3)\/(-12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.94 + 0.06. Let o = -2.3 - -8.3. Let m = r - o. What is the second smallest value in -3, m, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 101*d + 21. Is 11 a factor of v(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161 a factor of 919641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3696047 is divided by 10238?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -57974, -57792, -57610, -57428, -57246, -57064?\nAnswer: -56882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/34, -2, 6, 1, 31\/2 in decreasing order.\nAnswer: 31\/2, 6, 1, 1\/34, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8780*l = -8806*l - 26 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 995333, -0.5, 49 in decreasing order.\nAnswer: 995333, 49, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4341 + 4677. What is the greatest common factor of 2100 and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 41232?\nAnswer: 2, 3, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 48647 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of 23*o**4\/24 + 25*o**2. Let r(f) = 4*f**2. What is r(p(t))?\nAnswer: 2116*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:39 AM and 6:09 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -2\/35 and 43\/175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*i - 18 - 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 3*l - 32. What is k(9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y**2 + 12*y**2 - 5*y**2)*(y - 3*y + 6*y).\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -221 + 220. Which is the second smallest value?  (a) 2\/3  (b) -4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*g + 260 = -2*g - 0 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b**2. Let k(d) = -20*d**2 + 18*d. Let y(m) = -m**2 + m. Let p(o) = 2*k(o) - 36*y(o). What is -5*p(l) - 6*r(l)?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, 0.05, 1\/6, 0.1, 2\/5 in decreasing order.\nAnswer: 2\/5, 1\/6, 0.1, 0.05, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 260 = 76*v - 50*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 29\/((-2233)\/(-42))*-22\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 321685349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (28\/6)\/(4\/30). Let t = -104 + 113. Let s = r - t. What is the remainder when s is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0039136 to four dps.\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q - 5. Let h(c) = -32*c. Let v be h(1). Let s be (-816)\/v - 6\/(-4). Suppose -p = -3*l - 11, 5*p - s = 2*l - l. Determine a(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = -l. Suppose -2*o + 0*o = l. Let n(j) = j - 8. Let t be n(13). Solve 0 = 4*r + b - 3 - o, b + t = 4*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2204 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -0*t + 5. Let z(x) = -11*x**3 - x**2 - 2*x - 1. Let b be z(-1). Suppose 0 = -c - t + b. Calculate the lowest common multiple of 1 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 96 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 + -1 - 3 - (-111 + 108)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -g - 6322*x + 6321*x - 7, g - 11 = 2*x for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/2 - (7 + -12). Let r be (-81)\/(-15) + h\/(-15). Let a = r + 2. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s + 2. Determine n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/5)\/((-11)\/((-22)\/20))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4*z + 156, 0 = -3*z + 3*o + 99 + 9. Calculate the common denominator of 410\/(-48)*(-8)\/z and -53\/28.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40678 - 40314 = 52*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - v - 2. Let y(a) be the second derivative of -a**4\/12 - 7*a**3\/6 - a**2 - 2*a. Let t be y(-7). What is the units digit of m(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -14\/3?  (a) -3  (b) 2\/7  (c) -1\/5  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 9203.053 litres?\nAnswer: 9203053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1290 divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3125278842 to the power of 1\/2, to the nearest integer?\nAnswer: 55904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.05053747 rounded to 3 decimal places?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 3941853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00002356414 to 7 decimal places.\nAnswer: -0.0000236","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 353 + -357. Let y be (9 - -3)\/(12\/(-16)). Which is greater: a or y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 415 and 11?\nAnswer: 4565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 960185?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**3 + 6*z**2 - 6*z - 7. Let k(x) = 5*x**3 - 12*x**3 - x + 6*x**3 + x**2. Let i(r) = 6*k(r) - q(r). Differentiate i(p) with respect to p.\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (180\/(-50) - -6)\/((21\/(-10))\/(-7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6\/15)\/((-3)\/(-30)). Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 22 = -b + 164, 5*h = 5*b - 730. What is the greatest common factor of 12905 and b?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 2*b + 1. Let g(h) = -h**2 + 2*h. Let c(o) = -214*o**2 + 1 + o + 434*o**2 - 219*o**2. Calculate b*c(d) - g(d).\nAnswer: 2*d**2 - d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 13295.1 + -13028. Is u bigger than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 25?  (a) 2  (b) -2  (c) -0.04  (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 659747650.\nAnswer: 2, 5, 839, 15727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -5\/269  (b) 0.4  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125073 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o = -5*l + 25, 450*l = -4*o + 448*l + 24 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19*t**3 + 4*t + 34*t**3 + 1 + 3*t**3 + 75*t**3 + 5 wrt t.\nAnswer: 786*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 i when two letters picked without replacement from {p: 1, j: 1, q: 1, y: 1, l: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 + -10. Let y(r) = r**2 + 12*r + 13. Let b be y(-11). Let s be (2 + (-1 - -1))*b. Solve -s*i - 3*x = -0*x + v, 3*x + 14 = 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1038  (b) -6  (c) 3\/38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 28*y**2 - 474*y + 2785. Determine b(6).\nAnswer: 949","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 243518216*d**4 - 2336*d**2 - 28815*d.\nAnswer: 5844437184*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -13\/6210 and 47\/40710?\nAnswer: 366390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8075*c**2*t - 15807167*c**2 - 9*c*t**2 - 2*c*t with respect to t.\nAnswer: 8075*c**2 - 18*c*t - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.5, -0.1, 45, 2\/9, 3?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/734870 and 31\/1935?\nAnswer: 6613830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-1\/6))**(-2\/19) assuming s is positive.\nAnswer: s**(1\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 13 (base 4) to base 3\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 75 = -7*k. Let n be 1715\/k + (-2)\/(-5). Let m = 98 - n. What are the prime factors of m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2187 = -60*z - 507. Calculate the remainder when z is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/1503 and -23\/81.\nAnswer: 13527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 163 = -4*s. Let a be s + -6 + 3 + -2. Let r = a + 13. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2709749\/11 + -246046. Let t be ((-10)\/(-6))\/(1\/(-177)). Let a = q + t. What is the third biggest value in -4, 4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w - 1. Let j(y) = 6 - 5 + 0 - 20*y + 9. Determine 20*d(z) + 2*j(z).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (68 + (54 - 110) - (96 + 1 + -2)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 27*g + 139 = 0, 118 = 16*u + 4*g + 34 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2 - -3. Which is the nearest to x?  (a) -1  (b) 4  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5582858 by -33.\nAnswer: -5582858\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34 and 595.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6.5 - -7. What is the nearest to 1 in 1, a, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/20 or -0.0028?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/4 in -2\/13, -12, -1.609, -0.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 + -24. What is the third biggest value in 3, q, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 550, 1.9, -0.4.\nAnswer: -0.4, 1.9, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 8, 0.2, 1\/8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -22*t**4 + 5*t**4 - t + 7*t**3 - 9*t**3 to q*t**4 + i*t**3 + f + n*t**2 + b*t and give q.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 2*p**2 - 13*p + 8. Let n be k(6). Calculate the remainder when 181 is divided by 96\/(1 + n) + 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000057512404 to 7 decimal places.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 108 - 61. What is the remainder when s is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -16*y**3 + 60*y**2 - 68*y + 24 = 0. Calculate y.\nAnswer: 3\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 4088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 294379950 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1210304420 (base 5) in base 11?\nAnswer: -1658636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5207.69 rounded to the nearest one hundred?\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of 0 - 2\/3*c**3 - 3\/20*c**5 + 0*c**4 + 0*c**2 + 5*c. What is the second derivative of a(r) wrt r?\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 189 is divided by 22?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, f: 1, n: 1, d: 1, g: 2}. Give prob of picking 1 h and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Let k = 616 + -605. Solve 4*s + 5 = -k, -4*s - 16 = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 6*g**2 - 41*g + 2. Let n be l(-9). Let f = n + -257. What is the hundreds digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -168.42 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -2*c**2 - 14*c - 3. Let g(p) = p**2 + 4*p + 2. Let a(m) = -m**2 - 5*m - 2. Let o(s) = -3*a(s) - 2*g(s). Let n(q) = -4*i(q) - 9*o(q). Calculate n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 15 = -0*j + 3*v, -v = 2. Suppose q = -q - 12. Let u be q\/(2\/4 + -2). Solve -8*k = -3*k - u*h - 2, -2*h - 12 = j*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2942756 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 10, h: 2, m: 3}. What is prob of sequence ssh?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1357 != 1357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -14*t - 80. Let i be f(-28). Suppose -4*o = 4*o - i. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 116 - 106. Let o be (-5)\/b*(-4)\/(-6). Let t be (-8)\/10*(-5)\/(-1). What is the closest to o in t, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -c*y**2 - 1631*c*z**2 - 7*y**2*z**2 - 3*y**2 + 40*y*z + z**2 wrt c.\nAnswer: -y**2 - 1631*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 105 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + m - 17. Determine z(0).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/40 and 43\/6380?\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 168, 210, 304, 474, 744, 1138?\n\"Answer: 4*x**3 + 2*x**2 + 8*x + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-15))\/((1386\/180)\/77)*8091\/(-116)?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000022745931 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 39 = -6. Suppose -4*d = -v*d + 170. What are the prime factors of d?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(7)*1)**2 + (sqrt(28)\/sqrt(4) - sqrt(7)) + -1.\nAnswer: 10 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 205\/3 - 69. Let l = -84491 - -84489. What is the biggest value in l, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + 1 - 2) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -2\/42753?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5\/((2\/3)\/2) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/11*10395\/(-5670)*111\/(1\/(-1))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 times 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d = -3*d + 9. Let a(z) be the first derivative of z**3\/6 - 3*z + 1. Let w(v) be the first derivative of a(v). Give w(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 - 20. Let c = 10 + n. Let k = 1 + -2. What is the closest to -3 in 0.5, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32 + -25. Let b(w) = -7*w - g*w + 16*w. Let j(l) be the third derivative of 11*l**5\/60 + l**2. Determine j(b(v)).\nAnswer: 44*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2853 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8 + 15. Calculate the remainder when m is divided by 2 - 1*(-5 + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8\/57 + -1\/38. Let j = 1.1 + -1. What is the closest to 0 in j, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of 523*o**5\/20 + o**4\/12 - 90*o**2 - 741*o. Find the third derivative of k(w) wrt w.\nAnswer: 3138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b**5\/4 - 737*b**4\/2 - 291*b**3 + 882*b**2 = 0.\nAnswer: -294, -2, 0, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3140977361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-3) + 4\/(-6). Suppose r*f + 12 = 5*f. Suppose -12 = -2*m + 3*t, -t + 4 = f*m + 3*t. Solve x = m*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 156, 450, 944, 1638, 2532, 3626, 4920?\n\"Answer: 100*h**2 - 6*h + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 31\/4 - (-189)\/756 - -16?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1305853035.\nAnswer: 3, 5, 29, 229, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.03 and 1.9?\nAnswer: -0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -5*l + 3, -2*y + 2*l - 26 = -7*y. Suppose -2*d + 3 = -39. Suppose -d*u + 23*u - y = 0. Solve -u*q = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 415*b + 471484*b**3 - 415*b + 1315725*b**3.\nAnswer: 1787209*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 71 and 923?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -32*8\/16 + (-218)\/(-12)\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/4  (b) 0  (c) -1  (d) 2  (e) -0.129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) be the first derivative of -5*c**2\/2 - 8*c + 11. Let t(d) = -4*d - 7. Determine 7*t(a) - 6*z(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1512 and 1808292?\nAnswer: 227844792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1754 = 149*v + 229*v - 75*v - 14305 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -513, -514, -519, -528, -541, -558?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 5056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -690054*b**2 - 997681 wrt b?\nAnswer: -1380108*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 1. Let g be (16\/6)\/(j\/15). Let q = -2 + g. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -f + 290, 3*a - f = -24 + 190. List the prime factors of a.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86114 = -5170*u + 86702 - 85528 + 424542 for u.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-85)\/(-20) + (-3)\/(-4). Let w(k) = k**3 - 6*k**2 + 7*k - 10. Let b be w(m). Suppose 2*l = -b*l. Which is greater: l or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 9 = -0*b. Suppose q = 0, b*q = 2*a - 3*a + 28. Let o(y) = y**2 + 6*y + 7. Let c be o(-7). What is the highest common factor of a and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3*j + 2*j + 2*j**3 + 2*j**2 + 0*j**2. Suppose w = -w + 12. Let q = 36 + -47. Let p(n) = 4*n**3 + 4*n**2 - 2*n. Give q*f(r) + w*p(r).\nAnswer: 2*r**3 + 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -1409*z + 126. Let d(y) = -2818*y + 221. Give -4*d(k) + 7*h(k).\nAnswer: 1409*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*a = -13*a - 7 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/9*2 - (-8)\/198. Let t be ((-1)\/2 - -1)\/2. Is s bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**4 + s**3 - s**3)*(-4 + 3 - 1) + (-57*s**3 - 4*s**3 + 26*s**3)*(s - 2*s + 6*s) + (0*s - s - s)*(-2 + 2 + s**3).\nAnswer: -175*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1044 + -1271. Which is greater: -229 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/64*48600\/(-13365)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*x - 13*x = -257 - 931 for x.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 + 2*g + 3. Let l be n(-2). Suppose -4*c - l = -11. Let p be c\/((5\/(-2))\/(-5)). What is the third smallest value in -5, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 399869 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 339*y - 2*l - 16 = 334*y, 13 = -y - 5*l for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2b64 (base 15) to base 13.\nAnswer: 431b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 95\/32 and -43\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 11*x**3 - 661*x**2 + 671*x - 11. Calculate w(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.5  (b) -0.7  (c) 2  (d) -5  (e) 11\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67*h - 1150 = 65*h. What is the remainder when h is divided by 190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3746 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 958*p. Let g(f) = -2*f + 1. Calculate r(g(v)).\nAnswer: -1916*v + 958","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -7*i - 1. Let x(y) = 6*y + 1. Let z(g) = -2*b(g) - 3*x(g). List the prime factors of z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1000661 + 5?\nAnswer: -1000657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 4*w + 339672, -4*w = -2*o - 9*w + 135915. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9068 + 9108.98. Round y to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2945 - -0.3. What is b rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 3*v - 144 = 48, -128 = 4*k + 4*v. What are the prime factors of 12\/k - 19\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 22*r**2*x*y - 8143*r**2*x - 18367*r**2*y + 113*y wrt x?\nAnswer: 22*r**2*y - 8143*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7 - -7. Let r be ((-3)\/6*z)\/2. Solve r*i = -5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 34*u**2 + 8*u - 269. Let x be j(34). Let y(v) = -5*v**3 + 3*v**2 + 3*v - 1. Let d(n) = -5*n**3 + 2*n**2 + 2*n. Determine x*d(p) - 2*y(p).\nAnswer: -5*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -131159, -524800, -1180863, -2099342, -3280231?\n\"Answer: l**3 - 131217*l**2 + 3*l + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 475013 is divided by 236882.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 3 c when four letters picked without replacement from {c: 4, j: 2, q: 2, o: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.15 and -3.3532.\nAnswer: 3.85618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 3*o**2 + 276*o + 6348 = 0.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 29948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -497 + 498. What is the second biggest value in -5, -1.8, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -102230113200 + 1?\nAnswer: -102230113133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from xlllilxxxxlxlxilix.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (125\/1600)\/((-15)\/(-12))\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 74.7 - 126. Let z = d - -51. Put z, 4, 1\/8, -2 in increasing order.\nAnswer: -2, z, 1\/8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -2, 0 = d - 0*x - 2*x - 45. Suppose 24 = -46*l + d*l. Is -2 >= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ladd when four letters picked without replacement from ldlasd.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -27*t + 31*t + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 114 a factor of 1266263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16.4 + 23.4. Which is the second biggest value?  (a) -1  (b) 1  (c) q  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/12535 and 44\/2725?\nAnswer: 62675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.04 and 631.\nAnswer: -25.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 at least -1203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 22186098551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 242299 is divided by 12800.\nAnswer: 11899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13791*f**2*m**3 - 2*f**2*m + 2*f**2 + 2*m**3 - 1679 wrt m?\nAnswer: 82746*f**2*m + 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*q + 14 = -21*q. Let n(h) = q*h**2 + 114 - 114. Let g(s) = 2*s**2 + 2. Let y(k) = -2*k**2 - 3. Let d(c) = 3*g(c) + 2*y(c). Give d(n(j)).\nAnswer: 392*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 54450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, b: 2, x: 1, v: 1, y: 1, d: 1}. What is prob of picking 1 b and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h. Suppose -29*r = -31*r - 14. Let x(v) = -6*v - 4. Let q(n) = 9*n + 6. Let g(b) = r*x(b) - 5*q(b). Determine -2*d(l) - g(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of -1\/4*l**4 - l**3 + 0 - 25*l - 3\/2*l**2. Factor q(x).\nAnswer: -3*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - -3 - 3) + 8. Let q = 9 - r. Suppose -10 = -q*g, -i + 19 = 2*g + g. Calculate the lowest common multiple of 18 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 2, o: 2, i: 1, j: 2, s: 1, d: 1}. What is prob of sequence js?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of 3*l**5\/100 - 3*l**4\/20 + 3*l**3\/10 - 3*l**2\/10 + 4*l. Suppose u(d) = 0. Calculate d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10111 - -11?\nAnswer: 10122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4709320 a multiple of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000865 rounded to five dps?\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 7*v**2 - 2*v - 4. Let f(u) = 8*u**2 - 3*u - 5. Let c(q) = -4*f(q) + 5*r(q). Calculate the remainder when 46 is divided by c(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.01, -5, -0.2, -223691.\nAnswer: -223691, -5, -0.2, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 148.5 - -100.\nAnswer: 248.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23760 divided by -1.\nAnswer: 23760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 - 1 = 4*k. Let i be ((-38)\/k)\/((-6)\/60). Suppose -2*x + 0*y + i = -2*y, -172 = -4*x - y. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10825561.\nAnswer: 1009, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 140*19907\nAnswer: 2786980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 4*t + 23, 15*t - 10*t + 3*f = -16. Let i = -479\/6 + 80. Which is the third smallest value?  (a) -2\/3  (b) i  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32973116757 + 9.5.\nAnswer: -32973116747.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 39 + -36. Put -0.1, -1, x, -5 in decreasing order.\nAnswer: x, -0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 398*x + 7167. Calculate the remainder when 410 is divided by f(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*(-18 + 2) + -4. Suppose 2*r - i - 316 + 103 = 0, -3*i + 549 = 5*r. Calculate the greatest common divisor of r and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 70.69487s in nanoseconds?\nAnswer: 70694870000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is 108170\/44760 - (-1)\/(-4)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31015 (base 10) in base 2?\nAnswer: 111100100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -103\/14418 and 131\/1188.\nAnswer: 317196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31544661.\nAnswer: 3, 23, 47, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 - 17*p**2 - 67*p - 15. Let z be n(-11). Let h be (3 + z)\/(-2)*(-24 + 24). Let r = 14 - 6. Solve h = 4*d - 0*d - r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.72 + 0.662. Round d to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-3)\/h*h\/(h*h*h**2)*(h**(2\/5)\/h)**(-13) assuming h is positive.\nAnswer: h**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, b: 1}. What is prob of sequence bt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2. Let s(m) be the second derivative of -29*m**4\/3 - 17*m - 5. Give s(x(j)).\nAnswer: -116*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(1 + sqrt(275))**2*1 + (sqrt(33)*1*-6)\/((sqrt(3) + sqrt(12) - sqrt(3))*-5).\nAnswer: -276 - 47*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -591\/8  (b) 5  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/11 in -3\/7, -0.4, 6, 3\/2, -222?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3469 = -72*s + 6899. What is the least common multiple of 264 and s?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 - 2*v - 6. Let k be u(5). Suppose -b - 5*n = -23, -4*b - 4*n + k*n - 8 = 0. Find the third derivative of t**2 - 6*t**b + 4*t**3 - t**3 wrt t.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -40*u**3 - 2*u**2 - 3*u - 2. Give h(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16 - (-1 + -1 + 2). Let r(w) = 7*w**2 - 3. Let m(p) = 36*p**2 - 16. Determine j*r(s) - 3*m(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.4197*-0.11882\nAnswer: 0.049868754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7884 by 438.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 5*p + 14. Suppose 3*k - h + 15 = 0, 5*k - 4*h = -25 - 0. Let x = 0.4278 + -0.0278. Which is the third biggest value?  (a) p  (b) k  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (v - 3*v + 0*v)*(v**2 + 0*v**2 - 3*v**2)*(-28*v - 74*v + 17*v) + 75242*v**2 - 1 + 8*v**4 - v**3 - 75242*v**2.\nAnswer: -332*v**4 - v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 230133026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 2, k: 10, v: 3}. Give prob of picking 1 i and 2 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 309112 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*q - 6 + 33 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 65428, 65427, 65426?\n\"Answer: -m + 65429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 10, z: 10}. What is prob of sequence ee?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81931 is divided by 40494.\nAnswer: 943","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide (-92796)\/(-10) - 20\/(-50)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-2\/7)*b*b)\/b*b)\/(b\/b**(-5\/3)))\/(b**(-5\/3)\/((b*b\/b**(3\/5))\/b*b)) assuming b is positive.\nAnswer: b**(74\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i**2 - 11*i + 9. Let z be v(7). Suppose -y - 9 + z = 0. Solve -3*p = -5*q - y, -3*q - 3*p = 5 - 2 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 344.52 to the nearest integer.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6568  (b) 75533  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, c: 1, a: 2, s: 2, t: 6}. What is prob of sequence ss?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 13*b + 2. Let o(j) = 7*j + 1. Determine 9*o(r) - 4*z(r).\nAnswer: 11*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 - 58 = -2*u. Calculate the greatest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2559464 is divided by 1990?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -14\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 46, 47, 46, 43?\n\"Answer: -r**2 + 4*r + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -67 - -73. Solve -l = q + a - 0*a, 0 = -a - 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7295, -2, 0 in decreasing order.\nAnswer: 0, -2, -7295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1076747 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 9210*p + 8172*p - 35997*p in the form d + i*p and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q**5 + 1232*q**4 - 7500*q**3 + 11304*q**2 = 0.\nAnswer: -314, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 31704 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c = -c + n - 121, -3*c = 4*n + 335. Let m be (c\/42 - -3)*2. Which is greater: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5800*-0.1.\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m - 27 = -8*m - 5*d, -d + 3 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 23, -188, 3, -11, 4 in decreasing order.\nAnswer: 23, 4, 3, -11, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 25*l**2 + 4*l + 5. Calculate c(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1.4 - -2. Let w = 0.00304 + 0.19696. Which is the nearest to -0.4?  (a) -0.3  (b) w  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (((-3 - -3)\/4)\/2)\/(-1). Solve z + 2*z = 12, -4*y - 4*z + 8 = i for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1485 at least 1488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -136, 3, 17 in descending order.\nAnswer: 17, 3, 0.5, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 18262187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 5*f + 27. Let d be y(-4). Let p(z) = -z**3 + 6*z**2 + 7*z + 7. Determine p(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2.03 - -2.23. Let g = 31.9 + -32. Which is the second biggest value?  (a) g  (b) -6  (c) h  (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:36 AM and 2:39 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.1 + -34.1. Let w = q + 33. Which is the third smallest value?  (a) 5  (b) 0  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 8*p**3 - p + 1. Let w be n(1). Let v = w - 5. Suppose 5*b = -5*k + 25, k + 3*b + 3 = 4*k. Solve -v*q - 18 = k*u, -4*u = -0*u - q + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3056496361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -2*u**3 - u**2 + 2*u + 2. Suppose 2*c + c = -3. Let i be j(c). Solve 3 - i = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = n**4 - 8*n**3 - 9*n**2 + 12*n + 10. Let h(q) = -9*q**3 - 9*q**2 + 12*q + 9. Let i = 6 + -9. Let f(j) = i*r(j) + 2*h(j). Determine g so that f(g) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of 0*g**2 + 0*g - 10 + 8\/3*g**3 - 7\/5*g**5 + 0*g**4. What is the third derivative of c(i) wrt i?\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from izqnssbqnbqiqnn. Give prob of picking 1 q, 1 b, and 1 z.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 13*v - 37. Determine g(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -45*d - 16. What is b(2)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -777 - 3?\nAnswer: -77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -284.07387793 - -3.\nAnswer: -281.07387793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-306)\/(-8)*12208\/13734.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 7*p - 492 = -10*p, 3*p + 12 = 0. Let f = i + 141. Let q = f + 91. What is the highest common factor of 48 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -39988*x**3 - 190*x**2 - 3064*x + 83.\nAnswer: -239928*x - 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -110, -148, -160, -134, -58, 80?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -75 + 483. Let v = 215375 + -215351. What is the greatest common divisor of v and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w**2 + 2*w**2 - 8*w**2)*(0*w**3 - 2*w**3 - w**3).\nAnswer: 21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q**3 - 7*q**2 + 4*q + 3. Let g be l(-4). Suppose -2*z = j - 111, -g*z + 2*j + 139 = -2*j. Let x = z - 19. Is 34 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 65 is divided by 46.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -39, -69, -97, -117, -123, -109, -69, 3?\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 1467 divide 592798073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 5*i - 1 + i**2 - 1 + 0. Let w be c(-6). Let y be 1\/1 + (-5)\/w. What is the third smallest value in 2, -0.3, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*a = 4*a - 1222. Let x be 8\/6 + a\/(-141). Solve -31 = x*o + 3*y - 12, 2*y + 6 = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1280711 and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 2*i**2 - 24*i - 67. What is y(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -19.05 - -19. Let a = -1.95 + x. What is the third biggest value in a, -4, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 34977, 34979, 34981?\nAnswer: 34983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 4914, 4102, 3290, 2478?\n\"Answer: -812*j + 5726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 5*n**2. Let m(g) = g - 43. What is m(x(c))?\nAnswer: 5*c**2 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4354694*u**2*y**3 - u*y**3 - 10*u*y**2 + 13101 wrt u?\nAnswer: 8709388*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*h + 20. Let s = -1 - -7\/4. Solve s*j**2 + 7\/4*j**h + 0 - 5\/4*j**5 - 1\/2*j - 3\/4*j**4 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -926.03334 - -926. Round x to three dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -3*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 34000*v - 765. Let c(x) = -89*x + 2. Calculate -765*c(m) - 2*f(m).\nAnswer: 85*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/91 and 12\/35.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**2 + 22*m + 136. Let t be n(27). Suppose 1\/2*v + v**2 - 1\/2*v**3 - t = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -2*d + 4, 3*j + 2 = 2*d for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2675546 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 236 and 234643?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + -2 + (-22 - -60)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 65868 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1581288.\nAnswer: 2, 3, 41, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*u + 3*u - 2*u)*(-u**2 + 4*u**2 - u**2) + (4*u**2 - 2*u**2 - 1 - 1)*(-18*u + 2*u - 16*u).\nAnswer: -62*u**3 + 64*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 + -13.1. Let y = t - -1. Let d = -3378 + 3379. What is the fourth biggest value in d, -2\/15, y, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, o: 2, v: 2, f: 1, q: 6}. Give prob of picking 1 v and 1 q.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u + 61*k - 5 = 56*k, 4*u + 25 = -3*k for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1628051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2326, 4653, 6980, 9307, 11634?\nAnswer: 13961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5181 = 34*g - g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - -7. Let m = -6 + o. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14\/(27\/3 - 7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the third derivative of -17*z**4\/24 + 11*z**2. Let d(c) = -c**2 + 1. Let g(v) = 1. Let y(n) = d(n) - g(n). Determine y(s(p)).\nAnswer: -289*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -337539, -337471, -337403, -337335?\nAnswer: -337267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**2 - 11*h + 10. Suppose 0 = 60*n - 55*n - 45. Calculate a(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31196*h + 3980*h - 2571*h.\nAnswer: 32605*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 184*l**3 + 13*l - 160*l**3 - 10*l + (5*l - 3*l - l)*(-2*l**2 - 1 + 1) in the form q*l + s*l**3 + x*l**2 + c and give s.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -21961902\nAnswer: -65885706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 + 18*x**2 + 21*x - 35. Determine t(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 + -13\/2. Let x(s) be the second derivative of -1\/20*s**5 - 1\/2*s**4 - 5\/6*s**3 - z*s**2 - 2*s + 0. Determine x(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -468.10016577 - -468.1. Round p to six dps.\nAnswer: -0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14949.55m in micrometers?\nAnswer: 14949550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/10*s + 7\/10*s**2 + 0.\nAnswer: s*(7*s - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74 + 52 = -18*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 1769 divide 39404475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(2\/7)*s)\/s)\/(s\/((s*s**(-1\/29))\/s)))**(8\/5) assuming s is positive.\nAnswer: s**(-1216\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108) + -3)*1 - 4*sqrt(192)*-6)**2*5*5 + -5.\nAnswer: -29700*sqrt(3) + 2940520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-266)\/1176 - 1\/(-12). Let w = 42 + -125\/3. Which is the nearest to 0.1?  (a) -2  (b) v  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -2*w + 4, -2 = -j - 5*w + 1. Does 19 divide (452\/(-1))\/j + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2401 - -2517. Calculate the remainder when l is divided by 94.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 158 and 22?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (10*(-23)\/(-6))\/((-8)\/24). What are the prime factors of (u - -1)\/((-81)\/63 - -1)?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4451*j**3*u**3 - 952*j**2*u**2 + j**2 + 2*j*u**3 + 3*u**3 wrt j.\nAnswer: 26706*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 690 + 3654 = -2*x. Let s = 21703\/10 + x. Let y = 29 - 259\/6. Calculate the common denominator of y and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes after 2:08 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = p + 13, -2 + 3 = 3*p - 2*c. Suppose 2 = p*k - z - 9, 5*z = -k + 9. Solve 3*m - 5*r - 25 = 0, -3*m + k*r + 20 = -0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) be the first derivative of -n**3 + 2*n + 5\/2*n**2 - 1\/4*n**4 - 4. Let g be c(-4). Let l(v) = 3*v + 3. Calculate l(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*z - 4 - 8. Differentiate 2 - 4 + 2*k**4 + z wrt k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (14\/(1372\/(-14)))\/((-8)\/98).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:00 PM and 1:06 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.12168?  (a) -6\/11  (b) 0.5  (c) 3  (d) -2  (e) 1\/5  (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 120, 2, -6, 15, -2, -87 in ascending order.\nAnswer: -87, -6, -2, 2, 15, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - t = 4. Let l = -5 + t. Is -1\/11 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-24)\/(-56)*-14)\/((-2088)\/96)?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47 - 407 = 36*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 203810, 407511, 611214, 814919, 1018626?\n\"Answer: g**2 + 203698*g + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3.0531 + 0.0531. What is the third smallest value in 0, 96, s?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3846*s**2 + 4364*s. Let d(t) = 5127*t**2 + 5819*t. Let v(y) = 7*d(y) - 9*g(y). What is the second derivative of v(k) wrt k?\nAnswer: 2550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (63\/(-45))\/(5\/25).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -225 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -10865904 divided by -679119?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 3*a = -5. Suppose 5*o = -0*n - n + 12, 4*n = 3*o + 2. Solve 3*q + a = o*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -42\/347803 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -250*b + 184 + 77 = 11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 26*o**2 - 17*o**2 + 3*o**2.\nAnswer: -40*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 5.1, 933, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 316 or 852054?\nAnswer: 316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2157*c - 742269 = 11100*c for c.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/10)\/(10\/80)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0298552 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 29 = -3*f - 5*x, -3*f - 7 = -2*x. Solve 4*t - f = -13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -744*o = 16936 + 6128 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f - 1 + 1)*(-3 + 0 + 1) + 4*f + f - 4*f - 2*f - 7*f + 3*f + (2*f + 2*f - 5*f)*(2 - 2 - 1).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -8ae (base 16) to base 4\nAnswer: -202232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 117, -8 in ascending order.\nAnswer: -8, -5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -6*g**2. Let z(l) = -13*l**2. Calculate r(z(a)).\nAnswer: -1014*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1742850 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 3*r**2 + r - 2. Let u(t) = -10*t**2 - 3*t + 7. Let v be (15\/(-12) - 4)\/((-9)\/12). Determine v*m(x) + 2*u(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (20\/(-24))\/(15\/(-9))*1*0. Are p and -5\/22 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21833*h**2 - 5455*h**2 - 5456*h**2 - 5461*h**2 - 5460*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003259 rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0  (b) 51\/10  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1\/(-2) + 18\/12. Suppose 2*s = -3*v - 8, 2*v + 11 = s + 1. What is the closest to 4 in 4, s, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200153 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9840 and 690030.\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:30 PM and 3:53 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4524, -8972, -13420?\nAnswer: -17868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -10357493 - 18642507. Suppose -4*n + 2*n = l. What is n rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -10. What is the tens digit of 8 + 4\/(8\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4100866 and 4?\nAnswer: 8201732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 4*p = o + 15, 3*p + 24 = -5*o. Suppose 4*f - 12 = 0, 2*a + 2 = -f + 55. What is the remainder when a is divided by (o\/(-6))\/(2\/36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125 is divided by 57?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j + 2. Let x(p) = -p - 7. Let y be x(-5). Let m be n(y). Suppose m*r - r = -b - 39, 0 = 4*b + 8. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1749854736 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*t**2\/3 + 2452*t\/3 - 146960\/3 = 0. What is t?\nAnswer: -668, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 9, -0.4, -2812, 2\/3, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5377 + 5376.7. Which is the fourth smallest value?  (a) m  (b) -0.1  (c) -7\/10  (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -38380001+0.1\nAnswer: -38380000.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -134 - -132. Let d(n) = -43*n**3 - n**2 + 2*n + 1. Is d(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 5 = 0, 0 = -2*b - 3*b - 5*f - 35 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**4 + 12*s**2 - 11*s**2 + 1 + s**3 - 2 to b*s**4 + o + i*s**3 + f*s**2 + c*s and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m**3 + 5*m**2 + 4*m + 3. Suppose 11 + 19 = -10*g. What is l(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4883*a**2 - 2578*a**2 - 24574*a**2.\nAnswer: -22269*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -133222121 (base 4) to base 13.\nAnswer: -47051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1433*h + 18330 = -866*h - 4660 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13 + -7. Suppose -2*x - x = -w. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40*39\/(-78) - -31?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 721339969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -3*a + 12. Let j(g) = -10*g + 38. Let c(f) = 7*d(f) - 2*j(f). Let n be c(4). What is the second biggest value in -0.4, n, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 156 and 1040?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 + 1 + 5 - 6. Let j(t) be the first derivative of t**5\/60 + t**2 + 1. Let d(r) be the second derivative of j(r). Determine s(d(p)).\nAnswer: p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + 174\/28 + 10\/35.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18 in -1, 2\/11, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -981*u = -899*u - 656. Let s(g) = -g**3 + 8*g**2 + 7*g - 52. What is s(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 take away 481537467?\nAnswer: -481537481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (107*j + 93*j - 66080 + 66080)*((-j - 2*j + 5*j)*(0 - 1 - 1) + 18*j - j - j) to b + m*j + t*j**2 and give t.\nAnswer: 2400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnkknjknjkj. Give prob of picking 1 j and 2 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 22 = -9. Let h = 32 + s. Let p(l) = -l**2 + 1. Let b(i) = -8*i**2 + i - 3. Let a(n) = -b(n) - 2*p(n). Calculate a(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -412*k + 429*k + 119 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -3*x + 2*k - 29, -x + 3*k - 15 = 0. Let t = x - -2. Is t < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 12:11 AM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -9*f - 24. Suppose 6 = 11*x + 23 + 38. Let r(q) = 2*q + 5. Suppose -72 = w + 2*w. Calculate w*r(o) + x*i(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-3 - 8) + -2 + -65 + 76?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = b - 2*b - 2*k, 0 = -b + 5*k - 26. Let l(v) = v**2 + 8*v + 3. Let d be l(b). Is (-24)\/d + 1\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/110 and 89\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -409 divided by -1\nAnswer: 409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - 0) + -10 + 49 + -40?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/(-11))\/(48\/(-726)*11).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) be the second derivative of 34*a - 2\/3*a**3 + 0 + 1\/4*a**4 + 2*a**2. What are the prime factors of s(-9)?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -117  (b) -1  (c) 2\/21  (d) -5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 76bba6 (base 15) to base 5.\nAnswer: 2422043011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of -l**5\/2 - l**4\/4 + 8*l**3\/3 + 64*l. What is the second derivative of q(o) wrt o?\nAnswer: -60*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/(-2))\/(-7 + 46\/((-184)\/(-30)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 13 = 11. Let b(p) be the third derivative of -p**3\/6 + 2*p**2 - 1990. Let w(i) = -2*i + 12. Determine k*b(r) - w(r).\nAnswer: 2*r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -68 + 68.573. Let g = q - 0.5012. Let t = 0.07 - g. What is t rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) be the first derivative of -3*j**7\/280 + j**6\/360 - 2*j**3\/3 - 4. Let n(r) be the third derivative of q(r). Find the third derivative of n(b) wrt b.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggllglqgglgql. Give prob of picking 3 g and 1 l.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**4\/5 + 117*q**3\/5 + 872*q**2\/5 - 468*q\/5 - 3472\/5 = 0.\nAnswer: -7, -2, 2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 15, 3, -5, -65, -16, -4 in ascending order.\nAnswer: -65, -16, -5, -4, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in thirty-one fifths of a millisecond?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2)\/m*m\/(m\/(m*m\/(m*m\/(m**(3\/2)*m*m))*m)*m))\/(m**(-1))**(-7\/4) assuming m is positive.\nAnswer: m**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 116937716 divided by -371?\nAnswer: -315196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18232 - 3532. What is u rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4 + 0 + 2 + -3. Suppose -5*w + 13 - s = 0. Let m be 0\/((-1)\/((-2)\/(-4))). Which is bigger: m or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (0 - -1) + -2 + 1. Suppose -7 - 1 = -2*n. Let q be (-35)\/(-75) - n\/6. Which is smaller: q or t?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 27*t + 208 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3727857821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d + 4*d = 3. Let l(h) be the first derivative of 7 + 0*h + 2\/3*h**3 + 1\/2*h**2 + 7\/4*h**4. What is l(d)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -222049*q + 7771745. What is o(35)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 2*q**3 + 6*q**2 + 8*q + 8. Determine n(-5).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (((1 + 0 + 0)*(-1 + 1 - 1) - 1 + 2 - 5)*(7*h - 37*h**2 - 7*h) - h**2 - 1 + 1)*(4 - 5 + 3)*(6 - 2 - 2)*(1 + 1 - 4).\nAnswer: -1472*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in sixty-one quarters of a kilogram?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19 + -11. What is the greatest common factor of 56 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*y - 30 + 24 = 0. Is y not equal to -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202*q + 1001 + 623 + 1406 = 0 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.26699 centuries in millennia?\nAnswer: 0.026699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 34\/(-51)*1*1\/7.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -z - 3, -4*v + 3 = 5*z - 0. Suppose 7*g - 3*k + 4 = 11*g, v*g = 4*k - 20. Sort -1\/4, 2\/5, g, -12 in ascending order.\nAnswer: -12, g, -1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -4*x**3 - 43741*x**2 - 334790?\nAnswer: -12*x**2 - 87482*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -3*f**5 + 1346841*f**4 - 16161804*f**3 + 64646880*f**2 - 107744544*f + 64646640 = 0.\nAnswer: 2, 6, 448935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2421 by -1.\nAnswer: 2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -116*w + 79 + 37 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 32423 - -2241?\nAnswer: 40214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -132 - -5?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 219578057.\nAnswer: 219578057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17469*k + 52410*k - 503 + 111 - 17470*k - 17472*k.\nAnswer: -k - 392","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 5*u - 93, -4*a + 4*u - 6*u - 222 = 0. Find the common denominator of 0 - (-2 - (-93)\/(-4)) and (a\/(-16) - 3)*(-488)\/126.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-30843)\/3450)\/149)\/(3\/(-4))?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -27 + 215. Find the common denominator of f and -41\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 87 - 87.9. Which is the third smallest value?  (a) z  (b) -1\/9  (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 5*h**2 + 29*h - 6. Let v be m(-6). Suppose -12 = 3*t + 3*f, -5*t + 10*t - 16 = 4*f. Solve v = 5*u - 3*c - 1 - 3, t = -4*u + 4*c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -4. Let o = 6 + -12. Is i\/o - (-66)\/9 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 29406 and -24256657.\nAnswer: -24227251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 56685738, 113371479, 170057220?\n\"Answer: 56685741*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2942596 and 6620841?\nAnswer: 26483364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 37*n**3 - 38*n**3 - 2 to the form d*n**2 + k + m*n**3 + t*n and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*k - 110*k = -736 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(2\/5)*x)\/x*(x*(x\/x**(2\/5))\/x)\/x)\/((x\/(x\/(x*x**(-3)\/x))*x)\/x**0) assuming x is positive.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of -2*l**3\/21 - 9*l**2\/7 - 16*l\/7 - 38. Factor m(c).\nAnswer: -2*(c + 1)*(c + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 4*o + 181599992 = 0, o = 5*c - 3*o - 227000008. Round c to the nearest one million.\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 196487?\nAnswer: 349, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes before 2:34 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 8 + 10. Let n = -13 + j. Which is the closest to -1?  (a) -4\/7  (b) n  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 4, 3, -1\/18949, -2\/3, 22, -0.07?\nAnswer: -1\/18949","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -865006 + 248*p**2 + 1730037 - p**3 - 865031.\nAnswer: -p**3 + 248*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 10.075. Let c = u + 105.075. Let j = c - 104.99999833. What is j rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 74\/(-703) + 135\/19 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(1\/15))\/(a*a*a**29\/a))\/(((a\/a**(2\/9)*a)\/a)\/a**(3\/28)) assuming a is positive.\nAnswer: a**(-37469\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2.77 from -16.\nAnswer: -13.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*a - 5*w - 40 = 0, -a + 3*w - 23 = -30 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 6 + 9 = 0. Let l be (-2)\/(-6)*-1*z. Suppose m + 2*i + 3 = 0, -14*i = -2*m - 10*i + 26. Solve -y + 5 = -l*a, y - a - m = a for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**3 + 18*q**2 - 3*q + 45. Determine u(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2816 + 142*d**2 - 2816 - 2709 + 8341.\nAnswer: 142*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - 68 = -3*v. Let q = 59 - v. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -5. Let b = u + 1. Suppose -2*d - 4 = -3*d. Which is bigger: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19 - 91. Let j = -56 - x. Calculate the greatest common factor of 24 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 6\/9*3\/(-2). Let h be (o*(1 + 14))\/1. Is 13 a factor of 4 - h - -1*1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 95265, 94918, 94571, 94224, 93877, 93530?\n\"Answer: -347*h + 95612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13 + 21. Let p = b - 6. Suppose 40 = 4*f - j + 7, -10 = p*j. Calculate the least common multiple of f and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n - 2. Let f = 2940 + -2936. Let d(u) = u - 3. Calculate f*d(a) - 5*w(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 8*l**2 + 4. Let m be a(3). Suppose -1624 = -22*x - 34*x. Suppose 2*n - 38 = -2*p, -2*p + x = -n - 9. What is the highest common factor of m and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 2*h. Let f(b) = -2*b**2. Let v(j) = -j**2 - 4*j - 4. Let a be v(-3). Let i(t) = 68*t**2 - 1. Let q(y) = a*i(y) + 3*f(y). Determine q(k(z)).\nAnswer: -296*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1551 and 17703.\nAnswer: 9152451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 9*q - 56. Let l be u(6). What is the units digit of 2 + (-5 - 0) - 38\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l**4 - 2*l**4 - 2*l**4 + (2*l - 2*l + l**4)*(0 - 1 - 1) + 1 - 1 - 2*l**4 + 5*l - l**4 - 5*l - 3*l**4 + l**4 + l**4)*(-1 + 1 - 2*l)*(0 + 7 - 1).\nAnswer: 96*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -10\/3, -1, 0.04, 2\/17, 0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7.4 - 6.4. What is the nearest to -2 in 1\/9, w, 2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -185 + 382. Let g = h + -198. What is the closest to 0.2 in g, 2, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -85*s = -88*s + 540. Suppose -u = -4, c - s = -2*c - 3*u. Calculate the remainder when 110 is divided by c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12520943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 26. Suppose -6*a = d - 64. Let v(q) = -q**2 + 5*q + 3. Calculate v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -1 + (-3)\/(1\/1). What is the third biggest value in -0.3, q, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3224.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 + 0 + 2*x**3 + (0*x**2 - 5*x**2 + 4*x**2)*(-7 + 7 - 4*x) + 16 - 268*x**3 - 10 - 6 to the form i*x**2 + v*x**3 + c + a*x and give v.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -639, -991, -1419, -1923, -2503, -3159?\n\"Answer: -38*m**2 - 238*m - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/3 in -2, -18, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 3 - 12*i - 20 + 53*i. Let d be m(1). Calculate the highest common factor of 18 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 986 and 580.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 521, 1039, 1557?\n\"Answer: 518*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -32 - -32.3. Let v = 20.09 + -20.19. Which is the closest to -2\/7?  (a) q  (b) v  (c) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47166778?\nAnswer: 2, 19, 1051, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -4*h**3 - 96*h**2 + 2788*h = 0.\nAnswer: -41, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -164905 divided by 3835?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 0*r + 29 = -z, 0 = -4*r + 4*z + 44. Let p = r - 4. Calculate the remainder when p is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 62 and 20?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -7*(-20)\/(-14) + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -0.1  (b) -0.4  (c) -3  (d) 141  (e) 5  (f) -0.02  (g) 456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -94.6 * -4985\nAnswer: 471581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 PM and 12:25 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -f + 2*f**3 + f + (0*f + 3*f - f)*(5*f**2 + 6*f**2 - 9*f**2) in the form t*f + y*f**2 + n + b*f**3 and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*x - 111 - 3. Suppose -x*f + 11357 + 11323 = 0. What is f rounded to the nearest 100?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 311 minutes before 1:53 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -3*o, 4*h - 25*o = -23*o + 6082. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -19*p. Let o(k) = -k**2 + 2*k. Let h(b) = -4*b**2 - 14*b. Let r(c) = 2*h(c) + 14*o(c). Give r(d(z)).\nAnswer: -7942*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 9*d + 10*d - 17 - 7*d. List the prime factors of u(6).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6171 is divided by 483?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2432539\/7956 + -1223\/4. Let u be (32\/(-2880)*-10)\/(442\/(-26966)). Let i = k - u. Calculate the common denominator of i and -38\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -2*g**2 + 11*g. Let n be z(5). Suppose n*j - 32 = j. Suppose -3*b + 2 = m - 2*m, -b - 21 = -2*m. What is the remainder when m is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 12, o: 1, x: 6}. What is prob of picking 1 q, 2 x, and 1 o?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - -46 - (28 - 8).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 15\/3307 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -7714 (base 11) in base 14?\nAnswer: -39d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 39.3063288 rounded to three dps?\nAnswer: 39.306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-71)\/(-7) + ((-24)\/(-7))\/4. Solve a = 18*d - 19*d + 5*q, 5*d + 7 = q for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 2*r + 12 = 0. Let w = -374 + 398. What is the least common multiple of r and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 168*s - 312. Suppose -2*u + 4*m - 6 = -30, -4*m - 26 = -3*u. Let z(f) = -13*f + 24. Let w(k) = u*a(k) + 27*z(k). What is the tens digit of w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-12)\/(-24)*(-2)\/(-4). Which is the nearest to -1\/7?  (a) r  (b) -1\/2  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v + 2. Let h(k) = -2*k - 4. Give -4*h(y) - 7*r(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbvbbvbbvvvv?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = o**2 + 12*o + 37. Give j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/10)\/(-3*5\/(-5025)). Suppose 5*h = -d + 15 + 67, 2*d + 4*h = 146. What is the highest common divisor of f and d?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -775, 2, -2 in decreasing order.\nAnswer: 2, -2, -775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -3*v**2\/2 - 537*v - 12948 = 0.\nAnswer: -332, -26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.9 - 0.9. Let a = 10.1 + -10. What is the closest to 1 in w, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 8, 4*v - 10*s + 11*s - 22 = 0. Is v > 52\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2170 - 1218 = 679*q + 23*q + 3632 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 7*k + 49. Let n be a(35). What is the greatest common divisor of 24 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -y - 0 + 3. Solve -y*x + 5*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -11*w**2. Let l be ((-519)\/1)\/((-3)\/8). Let g(x) = -l - 3*x + 1384. Determine g(h(t)).\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -80 divided by 376080\nAnswer: -1\/4701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 5*l = -13127, -d - 262*l + 6616 = -247*l. Is 41 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2563\/(-132) - -19)*-2*8\/30?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -abd (base 15) to base 14\nAnswer: -c56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(156)*3)\/sqrt(3))\/(sqrt(324) + ((sqrt(324) - sqrt(324)*-4) + sqrt(324) - sqrt(324)) + sqrt(4)).\nAnswer: 3*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, l: 1, f: 3, k: 2}. Give prob of sequence kflr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -26800337 * 0.9.\nAnswer: -24120303.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ae2e (base 15) to base 13\nAnswer: 13a7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -271 - -299. Let j be 2\/m*440\/55. Which is the smallest value?  (a) 7\/13  (b) j  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(19) - ((1*sqrt(190))\/sqrt(10))**2 - (-2 + (sqrt(475))**2).\nAnswer: -492 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 155.39 rounded to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(-3)*g)**(6\/11))**(-25\/4) assuming g is positive.\nAnswer: g**(75\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-5 - 25\/(-10))*-2. Solve -j*v + 1 = q, -3*v + 3*q - 2*q - 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 785215?\nAnswer: 5, 97, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - (-6 + 5 + -10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**5\/60 + 13*x**2 - 2*x. Let r(t) = 5*t. What is r(g(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -16*u**2 - 656*u - 3. Let t be v(-41). Let k = -0.1 + 0.2. Let n = 0.1 - k. Sort n, t, -3\/8 in increasing order.\nAnswer: t, -3\/8, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1625, 5020, 10689, 18638, 28873, 41400, 56225?\n\"Answer: j**3 + 1131*j**2 - 5*j + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the third derivative of k**7\/735 + k**6\/84 + 4*k**5\/105 + k**4\/21 + 28*k**2. Factor l(g).\nAnswer: 2*g*(g + 1)*(g + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 5*x - 80 = 0. Let u = x - -31. Let b = u + -7. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-6))\/(15\/(-48)*17\/((-102)\/(-36)))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = 2*i - x, i + 2 - 6 = -2*x. Let g = 7 + i. Let n(m) = -2*m + 5*m + 3 - 7 + 0. Let s(c) = -4*c + 6. Determine g*s(u) + 7*n(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -973*n = -160*n - 13821 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1693175 - 2987369. Let r = z - -794194. What is r rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1472, 1470, 1466, 1460, 1452, 1442?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 14*m**2 - 18*m - 116. What is p(12)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(3 + (sqrt(119)\/sqrt(112))**2)*1.\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(117) - -6*1*sqrt(117) - sqrt(117))\/(1*sqrt(729)) + -3*(-5 + sqrt(468))*5).\nAnswer: -375 + 1340*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 5201*y - 5912. Calculate q(1).\nAnswer: -711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 3696357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l - 863 = -2215. Suppose -5*x - 3*d + 866 = 0, -2*x - 8*d + 4*d + l = 0. What is the greatest common divisor of x and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)*-3 + sqrt(110))\/sqrt(10) + sqrt(11) + (sqrt(176) + 1 + sqrt(11))**2.\nAnswer: 9*sqrt(11) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.2 + 826.\nAnswer: 827.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12 + -27. What are the prime factors of (i\/(-10))\/((-3)\/(-20))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12643*o - 12659*o - 208 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.42488l in millilitres?\nAnswer: 16424.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 19898 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**2 + 9*j. Let f(m) = m**2 - 17*m. Suppose 0 = -5*v + w - 23, 17 = v - 3*v + 3*w. Let g(b) = v*f(b) - 7*u(b). Does 14 divide g(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 5*m + 12. Determine f(-15).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51560 is divided by 254?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 874 and -1050.\nAnswer: -917700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-24)\/36)\/((-5)\/(-90)). Suppose -5*y = 5*k - 105, -9 - 4 = -y - 3*k. Let t = y - j. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 88 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + 9. Suppose -r = 103 + 116. Let l = 230 + r. Solve 4*p + 5 = -c*h, 1 = 3*h + 5*p + l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -n**3\/6 + 798*n**2 - 1273608*n + 663. Suppose r(i) = 0. What is i?\nAnswer: 1596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d**2 - 5*d**2 + d**2)*(4 - 5 + 0)*(-4 + 0 - 3).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 33 and 572?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21*r - 52 = 8*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*x - 973753 + 973753 + 4*x**2.\nAnswer: 4*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/1193 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 1 - 5 + (2 - 6 + 3)*(1 - 3 + 0) + 0 - 3 + 2 - 3 - 4 + 5 - 4 - 4 + 5)*(-22*s - 16*s + 5*s) in the form q*s + x and give q.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 13*y - 21. Let p = 1609 - 1607. Calculate q(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*a + d + 10, a + d - 5 = -3*d for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 65*m - 39. Let u(o) = -17*o + 10. Let q(r) = -6*n(r) - 23*u(r). Let s = -16 + 10. Determine q(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 5*w - 10 - 16 = 0, 5*w + 29 = 3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4 = -k - 0, -6 = -3*d - 3*k. Let y = 0.1 + 0.4. Let t be 4\/(-12) - 2\/6. Which is the nearest to -1?  (a) t  (b) y  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16 and 2280?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -43, -87, -161, -265, -399?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3 = -1. Is 1 + (-160)\/l - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95044.\nAnswer: 2, 23761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzyyzyyyzj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 10202497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of -4*u**3\/21 - 604*u**2\/7 - 172*u + 464. Factor r(h).\nAnswer: -4*(h + 1)*(h + 301)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (62*d**4 - 2*d**2 + 2*d**2)*((-1 - 2 + 1)*(-1 - 4 + 3) + 1 - 2 - 1 + (-3 + 0 + 2)*(1 - 2 + 2) + 0 - 1 - 1).\nAnswer: -62*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (8\/28)\/(2\/56) - 4. Solve -v*s + o + 2 = 3, -3*s - 2 = -2*o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65272, 90483, 115694, 140905, 166116, 191327?\nAnswer: 216538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6512\/23 + -492359\/1748. Let n = 4\/19 - q. Which is smaller: n or 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 520\/9 or 59?\nAnswer: 520\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -376*o - 5854. Calculate u(-16).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 392822 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -d**3 - 3*d**2 - 3*d. Let u be r(-2). Let g(z) = -2 - 9*z + 0*z**u + 4*z**2 - 2*z**2 + 8*z. Let o(c) = -c**2 + c + 1. What is -3*g(n) - 5*o(n)?\nAnswer: -n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 12.7. Let u = -1 + -1. Which is the second smallest value?  (a) l  (b) u  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 870.54 - 462.501.\nAnswer: 408.039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - 1) + 7 + -1 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -4*((sqrt(2448) - (sqrt(2448) + -5))*4 - sqrt(2448) - (sqrt(2448) + (sqrt(2448) + sqrt(2448) + 2)*-1)) + 5)**2.\nAnswer: 7569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, 35, 126, 307, 608, 1059, 1690?\nAnswer: 2531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 6934226731?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 3532435 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = 16*o**2 - 3*o + 2. Let x be n(-2). Suppose 6 - 26 = -4*j. Let p be j\/(15\/x) + 0. Calculate the highest common factor of 3 and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 3*m**2 + 1. Suppose -5*c - 2*w = 6, w = -5*c - 11 + 3. Determine n(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 8*f - 0. Suppose f*p = -4*u, -5*p = 2*u - 5*u + 40. Solve 0*k = -u*k - 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 7, 27, -0.3, -13, 26.\nAnswer: -13, -4, -0.3, 7, 26, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 q and 3 z when four letters picked without replacement from {z: 5, o: 6, q: 4}?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 75795 is divided by 1114.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 6878 times -13.971\nAnswer: -96092.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 9. Let f(i) = k*i + 29*i - 2*i + 22*i. Let b be f(2). Calculate the highest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m + 3. Suppose 2*j = 4, 5*j - 1 = z + 13. Determine f(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/2*4*7\/161.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j = 4*j + 20. Suppose -13*f = -15*f - j. Put 0.1, -2, f in descending order.\nAnswer: 0.1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -79*z + 59. What are the prime factors of o(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(5 + (1 + -2*sqrt(800))**2).\nAnswer: -160*sqrt(2) + 6412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -0.9 + 810403.81\nAnswer: 810402.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 3*o**2 + 45*o - 1. Let p be u(-15). Let c(h) = 8*h**2 + 8*h + 4. Let l be c(p). Factor -80\/7*y**2 - 24\/7*y**3 + 4\/7*y**5 + 8\/7*y**l - 76\/7*y - 24\/7.\nAnswer: 4*(y - 3)*(y + 1)**3*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -21\/764 and -75\/1528.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 225\/104, 0.4, -0.1, -1\/3, 2, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 200889*k**2 - 2*k - 138951 with respect to k.\nAnswer: 401778*k - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, -3\/14, -5, -20, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6008.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(5) + sqrt(5) + 2 - sqrt(5)*2*3.\nAnswer: -4*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1006 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: Is 7963852153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 77400872, 154801740, 232202608, 309603476?\n\"Answer: 77400868*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -113 - 112 + k**3 - 49 + 274.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((70\/45)\/(-7))\/((-4)\/24).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 7*f + 4. Let x be q(-6). Let p be 0 - x\/((-4)\/(-6)). Suppose -c + 60 = p*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -1.1203, 56, 4, -3\/4.\nAnswer: -1.1203, -3\/4, 0.1, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10000200201212 - -12?\nAnswer: 10000200202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -61*g - g**3 - 11*g**2 + 61*g wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2855 + -862?\nAnswer: -3827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/26  (b) -2\/7  (c) 0.45  (d) 0.5  (e) -87  (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.5 + -1. Let f(t) = t**3 - 8*t**2 + 6*t + 5. Let y be f(7). What is the second smallest value in 5, y, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3*k + 5. Let s be w(-7). What are the prime factors of (-6)\/(-27) + s\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 581*x - 12677 - 4172 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -62\/725 and -35\/41.\nAnswer: 29725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 29005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 97a632 + -96?\nAnswer: 97a569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 1 j when two letters picked without replacement from {a: 1, j: 2, x: 2, t: 1, n: 1, f: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes before 12:50 AM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11 - 7. Suppose -p + 3*d + 2 = 6, -16 = -4*p - n*d. Suppose -r - p*r = -6. Is r greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5961.\nAnswer: 3, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -5*v**2 - v + 3 - v**2 - 2*v**3 + 3*v**3. Suppose -o - 2 = -0*o, 3*i + 3*o - 15 = 0. Is q(i) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 9*j + 5. Let k be i(4). Let q = -25 + k. Suppose -w - s + q = 0, -4*w + 68 = w + s. Is 13 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*a + 0*a - 2*a)*(140 + 141 + 10*a - 270) in the form w*a**2 + h + t*a and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 15 = -r + u, 3*r - 2*u - 43 = 0. Let h(z) = 12*z + r - 13 + 35 + z**2. Let k be h(-8). Solve -6*n + k = -5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 16938389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j + 1. Let m = -113 - -111. Calculate z(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*l = -12412 - 36010. What is the greatest common factor of l and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -7*y - 68. Let q be z(-12). Let r = 207 - q. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 - 435 = -7*t. Calculate the remainder when t is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -261 divided by -87?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 3)*(-5*r**2 - 28*r**2 + r**2).\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3309184 and 1648?\nAnswer: 3309184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 22*j**3 + 6*j**2 - 135*j - 137. Let z(b) = -10*b**3 - 2*b**2 + 68*b + 68. Let q(n) = 4*x(n) + 9*z(n). Suppose q(i) = 0. What is i?\nAnswer: -4, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2746 - -0.4\nAnswer: -2745.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the first derivative of -o**6\/24 + 5*o**4\/8 + 10*o**2 + 6. Let b(u) be the second derivative of j(u). Find the second derivative of b(n) wrt n.\nAnswer: -30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.00652 + 21.76348. Let q = -22 + f. Let u = -0.07 + q. What is the biggest value in -5, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -6, 43*k = 41*k + 2*f + 21024. Suppose 2*d = 5*x - 8188, -k = -5*x + 3*d - 2322. List the prime factors of x.\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -k**3 - 29*k**2 + 66*k + 17. What is h(-31)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (t + 3 - 3)*(-32*t**2 - 31 + 31 + (4 + t - 4)*(6*t - 4*t + t)) in the form i*t**3 + g*t + w + c*t**2 and give i.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -117 + 55. Let r = -61.953 - x. Round r to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -10, 5*v + 0*v - 4*x - 130 = 0. Let z(c) = -7*c - 5 + 18853*c**2 - 9 - 18850*c**2. Calculate the least common multiple of v and z(6).\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 351*g + 2336 = -7843 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5*((-4)\/(-4))\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = g - 6. Let k be i(7). Suppose 3*l = -2 - k. Let p = 19266 + -19270. Which is greater: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(567)*-2*-5)\/(sqrt(9) - sqrt(45)\/sqrt(5)*6) + -2.\nAnswer: -6*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/45 and 22\/17365635?\nAnswer: 17365635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - (sqrt(5) - (sqrt(5) + 3) - sqrt(5))) + 4)**2*3*-5 + -1.\nAnswer: -1036 - 420*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhkijijjk. Give prob of sequence ijj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q + 19. Let t be x(8). Suppose -t*z - 15 + 37 = 0. What is the second smallest value in -0.4, z, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*c + 23*c - 150. Is 32\/5 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -6 - (-1 + 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 4\/16 - (-5)\/4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 6*m = -4*h, 0 = -3*m - 2*h + 2. Let y(x) = m - 2*x - 7 + 9 - 2*x. Determine y(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-28)\/(-154) + 0 + (-167)\/11. Let z be (1\/(-1) + -5999)*(-800)\/b. Round z to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (w - 4*w + 2*w)*(0 + 2 - 1)*(w - 5 + 5)*(3 + 0 - 1) in the form f*w + z*w**2 + n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 487*c**3 + 10*c + 23*c**2 - 23*c**2 - 10*c.\nAnswer: 487*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b + b**3 - 2*b)*(5*b - 5*b - b**2) + (-2*b + 5*b - b)*(13*b - 13*b + 3*b**2)*(b + 13*b**2 - b).\nAnswer: 77*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide (-378)\/(1\/(2 - 6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -10, -20, 2, -127 in increasing order.\nAnswer: -127, -20, -10, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2087 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n - 2. Let d(v) = -2*v - 3. Let m(t) = -2*d(t) + 3*y(t). Let k(w) = -w. Let g(a) = a. Let z(j) = -4*g(j) + 5*k(j). Give z(m(p)).\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -2010, -2015, -2024, -2037, -2054, -2075, -2100?\n\"Answer: -2*x**2 + x - 2009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 16276.518 rounded to the nearest 100?\nAnswer: 16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 smaller than -0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*j**5\/3 - 1588*j**4\/3 + 2840*j**3 + 70160*j**2\/3 - 184672*j\/3 + 15616 = 0. Calculate j.\nAnswer: -61, -6, 2\/7, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) be the third derivative of 5*s**4\/24 - s**3\/6 - 389*s**2. Let g = -22 - -8. Let f(l) = 16*l - 4. Calculate g*w(n) + 4*f(n).\nAnswer: -6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x + x**3 + 8 - 1 - 7*x**2 + 0. Let l be q(6). Let r = l + 34. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 915\/2 - 458. What is the third smallest value in -6, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -0*l - 8*l. Solve 0 = 3*r - l*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -6 + 9 + 1*-1. Suppose 2*y - 5*y = 0. Suppose -5*m + 3 + 137 = y. Solve s + g*q - 8 = 4, 2*s + 5*q - m = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 3*w + 26 = 0, 21*f = 22*f + 4*w - 8. Solve 0 = -4*z - f, 5*o - 2*z - 3 + 10 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d - 2*d**2 - d. Let l(p) = -2*p - 3. Let v(f) be the first derivative of 3*f**2\/2 + 5*f - 3. Let m(k) = -5*l(k) - 3*v(k). Give m(n(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -18  (b) 5  (c) -3\/2  (d) -8\/5  (e) -4  (f) 0.1078\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70\/15*((-88)\/231)\/(-8)*-18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u + 110. Let p(d) be the second derivative of d**3\/6 + 30*d - 5. Determine t(p(j)).\nAnswer: j + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - -7. Suppose -i*a + 30 = -2*a. What is the lowest common multiple of 5 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 120442 (base 9) to base 12\nAnswer: 35b85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((v*(v**(3\/5)*v)\/v)\/v)\/v**(-3\/8))**(-27))**(-35))**(2\/45) assuming v is positive.\nAnswer: v**(819\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 810936 is divided by 270307?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1375129 divided by -16?\nAnswer: -1375129\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -8*t**4\/3 - 5217*t**3 + 125552*t**2\/3 - 109957*t + 94290 = 0.\nAnswer: -15715\/8, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6202.992 - 6223. Let a = p - -20. Round a to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one tenth of a microgram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1053911336 to the power of 1\/2, to the nearest integer?\nAnswer: 32464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 39*c*r**3*u**2 + c*r**3*u - 6*c*r**2 + 18*c*r*u**2 + 6*c*r*u - 3*c*r wrt u.\nAnswer: 78*c*r**3 + 36*c*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -2\/7, -0.424, 4, 17.9, 3?\nAnswer: -0.424","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 57 - 96. Let c = 43 + p. Let z(l) = -5 + 5 + 1 + c*l**2. What is z(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 188326 to the power of 1\/2, to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-15)\/(-10)*2\/1. Let t(y) = 5*y - y - q*y. Let r(z) = 4 - 4 + 2*z. Give t(r(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6.44 * 45.\nAnswer: -289.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 182272.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 + -33. Let u = -16 - c. Let w = u - -5.6. What is the nearest to -2\/5 in -1, w, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 161365?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 3*w - 4*w. Let i be 6\/(-20) + -1 + w\/(-15). Let m be (-2)\/5 + (-14)\/(-10). Which is greater: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -32  (b) -9  (c) 363  (d) 1\/6  (e) -45\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xixsssixissexjds. What is prob of sequence jei?\nAnswer: 1\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6708 and 4?\nAnswer: 26832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 62.2 - 37.4. Let m = -24.799999866 + y. What is m rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) be the third derivative of 0*p**3 + 3*p**2 - 1\/30*p**5 + 1\/8*p**4 + 0 + 0*p. What is the second derivative of l(a) wrt a?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 3, -3715541 in increasing order.\nAnswer: -3715541, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 323 and 18258?\nAnswer: 346902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 881574.3ns to minutes.\nAnswer: 0.000014692905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (5 - 2) - 10 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + 5*w - 20, 0 = 11*p - 14*p - w + 6. Let q = -9\/70 + -1\/210. Which is the nearest to 1?  (a) 3  (b) p  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 154?  (a) -5  (b) 46  (c) 0.5  (d) 0.08  (e) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 351*b**2 + 54*b - 54. Let v(u) = 32*u**2 + 5*u - 5. Calculate 5*k(p) - 54*v(p).\nAnswer: 27*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are -34 and -0.0058 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 10*o + 2*y = 11019, -6612 = -3*o - y. What is the highest common factor of 90 and o?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10739.7 + -10740. What is the nearest to -13 in 1\/4, 0.2, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -90 - -27. Calculate the common denominator of (-271)\/36 - (-14)\/p and -59\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 4*w - 12 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, g: 3}. Give prob of picking 2 g.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 323 (base 6) in base 15?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 7 - 5 = 0. Let g be 5 + (3 + -2)*i. Suppose g*f - 11 = 9. What is the third biggest value in 2, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 25990741*s*u**3 + 30*s*u**2 + 15*s*u - 4629*s wrt u.\nAnswer: 155944446*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 22\/8 - (-4)\/16. Suppose 7 - 13 = d*u. Which is smaller: -10\/3 or u?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.87477775 to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3\/9*-16)\/((-28)\/21).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3075, 46, -1\/16, -2, 0.32.\nAnswer: -2, -1\/16, 0.32, 46, 3075","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 33, 39, 47, 57, 69, 83?\n\"Answer: r**2 + 3*r + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -78*t + 23*t + 55*t - 838*t**2.\nAnswer: -838*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1031\/70 - 53\/10. Let l = g + -872\/91. Let q = 358\/7 + -51. Which is the closest to -0.1?  (a) l  (b) q  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q**4 - 753*q**3 + 5604*q**2 + 14260*q = 0 for q.\nAnswer: -2, 0, 10, 713\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, 824, -1 in descending order.\nAnswer: 824, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + (sqrt(19) + (sqrt(19) - sqrt(304)))*-1 + 3)*2)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1239.\nAnswer: 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 5*d = 4*t + 51, -14*d + 160 = -147178*t + 147181*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(495)*-1 - sqrt(495)) + sqrt(495) + sqrt(55))*-1)\/((sqrt(150)\/(sqrt(30)\/sqrt(3)))\/sqrt(3))*2.\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(315)*2)\/sqrt(5))\/(sqrt(54)\/(sqrt(18)\/sqrt(3))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 8 = -0*f, -3*f + 67 = 5*q. Calculate the remainder when 6\/4*(8200\/75 - 22) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0282 and 0.5.\nAnswer: 0.0141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of 41*v + 3\/2*v**2 - 1\/12*v**4 - 5\/6*v**3 + 0. What is s(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/749 or -201.28?\nAnswer: -201.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-507 + 587 + 966)*(-5*t + t + 5*t).\nAnswer: 1046*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6939 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 290 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -20304  (b) 9  (c) 7  (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p**5 + 4254*p**4 - 38592*p**3 - 89934*p**2 - 47091*p = 0. Calculate p.\nAnswer: -1427, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 14.29 to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 - -5. Let s be (-6 + 1)*a\/2. Let l(r) = -4. Let u(g) = -g + 4. Let d(b) = 3*l(b) + 2*u(b). Determine d(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15792, -63032, -141748, -251940, -393608, -566752, -771372?\nAnswer: -1007468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 28944 + -3902. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2305740 (base 8) in base 10?\nAnswer: 625632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 875852635 to the power of 1\/2, to the nearest integer?\nAnswer: 29595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 3 + 4*i + 0*i + 0 - i**2. Let s be y(4). Solve 6*g - s*g = -12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -h - 4*h. Suppose 6 = 3*v - h. Suppose -3*b + 50 = v*b. Solve q + b = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 623.3 + -1013. Round p to the nearest 10.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 127190 and 63595.\nAnswer: 127190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 20533, 82116, 184753, 328444, 513189, 738988, 1005841?\nAnswer: 1313748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the first derivative of -3*j**4 + 5*j**3\/3 - 18. What is the third derivative of h(b) wrt b?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5\/79 and 6\/(-10) + (-8)\/(-4) + -3.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14166\/(-787)*1\/15?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6\/8 + 21\/4. Suppose 3*g + 69 = i*g - 4*s, -4*g - 2*s = -114. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 25 - (-12)\/(6 + -2). Suppose -y + p = 3*y. Solve 2*r = y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j = 100 + 44. Suppose -2*r + 6 = r. Suppose r*z - 58 = -j. Calculate the remainder when z is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1203\/10 - 9239\/80. Find the common denominator of -103\/12 and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*s - 108 = -64*s. Let k be 2 - 1 - 2*1. Sort k, -5, s in descending order.\nAnswer: s, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4666620 a multiple of 1230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5350 + 2*u - 5350.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 199546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*n = -75*n. Solve m = -5*c - 17, n = c - 4*c + 2*m - 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.31 + 0.01. Is -2\/9 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d**5\/2 - 67323*d**4\/2 - 437661*d**3 - 1548722*d**2 - 404052*d + 2424096 = 0. What is d?\nAnswer: -6, -2, 1, 67336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-4*(-4*sqrt(175)*-2 + -3*(1 + sqrt(175)))*1)**2*-3.\nAnswer: -7575552 + 259200*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11 + 39. What is the smallest common multiple of 36 and i?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 120*a - 14 + 8.\nAnswer: 120*a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-24)*y**(-24))\/(y**26)**(4\/23) assuming y is positive.\nAnswer: y**(-1208\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - -34 - (0 + 8 + -2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20550250 - 15?\nAnswer: -20550305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 - 2 = -4*p. What is the remainder when 36\/p*3\/6 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 11298334?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 0, 1\/2, 47, -559, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -7\/3, 8449, 1 in decreasing order.\nAnswer: 8449, 1, -1, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*d - 6 - 4 - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-2\/5)\/(q*q\/(q\/q**(6\/11)*q)))**31)**(-7\/8) assuming q is positive.\nAnswer: q**(2821\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -3*c**2. Suppose k - 10 = -5. Suppose 0 = -0*j - k*j + 5. Let f(i) = 3 - 4 + j + i. What is f(y(m))?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-126)\/(-210)*(-10)\/9.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11229236.\nAnswer: 2, 83, 149, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 781.75 to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -m**4 - 74*m**3 + 127*m**2 + 130342*m.\nAnswer: -12*m**2 - 444*m + 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z = 3*g - z - 64, 5*g - z - 106 = 0. Let j be 75\/g - 3\/1. Suppose 4*r + 2 = -5*b, -4*r + 5*b = -9 - 9. Which is smaller: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -5*c + 64. What is the lowest common multiple of c and (-174)\/(-15) + (-4)\/(-10)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 488 and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28448.\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 5 - 5 - 594256*k + 594250*k. Let z(u) be the third derivative of u**4\/12 - u**2. Give w(z(c)).\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = h**2 - 3*h - 2. Let u be o(4). Suppose 810 = -0*b - u*b. Let y = b - -713\/2. Find the common denominator of 91\/2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.79 and 257777.\nAnswer: -203643.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor u**3\/4 - 13*u**2 - 22913*u\/4 - 5715.\nAnswer: (u - 180)*(u + 1)*(u + 127)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = h**3 + 7*h**2 - 2*h - 7. Let o be t(-7). Let g be ((-8)\/(-278))\/(14\/o). Is 1 <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqrrrrrrrrrr. Give prob of sequence rqr.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence efe when three letters picked without replacement from {e: 5, f: 15}.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2201310 + -2100331?\nAnswer: 100313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3821628 = 28*q - 3820340 for q.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 313047 - 3436559\/11. Let m be 1903\/(-3) + 4\/(-6). Let l = m + f. What is the common denominator of l and -13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13\/(-2)*(-20868)\/22607\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3)\/(-4))\/3)\/(-1*91\/104)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0113334947 rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 times -1485301\nAnswer: 742650.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*a + 5*l - 45806 + 45832, 0 = 2*a + 2*l + 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 448 and 53488?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 85 = -5*k - 140. Suppose 98 = 3*t - 2*u, -4*u - 12 = 5*t - 146. Let y = t - k. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4560 and 604?\nAnswer: 688560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -17.89+-15.311436\nAnswer: -33.201436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.242 - 0.142. Sort 2\/5, 1, k, -2\/7 in decreasing order.\nAnswer: 1, 2\/5, k, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 262 + -262.027. Let t = l - -0.027233. What is t rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 + -2. Suppose 5*u - 20 = -c, f*c - 5*u - 9 = 1. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:23 AM and 9:26 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 172 divided by -26?\nAnswer: -86\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -6*a - 33. Give v(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + -1. Is 9 a factor of y - (3 + -2 + -21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, -0.1, -0.013 in descending order.\nAnswer: 1\/4, -0.013, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 2279.5623 minutes?\nAnswer: 1.583029375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -1.67. Let w = 15.67 - o. Let f = w - 16.0000044. What is f rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -39 - -24. Let r = 9584 + -67086\/7. Sort d, -0.1, r in descending order.\nAnswer: r, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 - 7. Suppose -j + 9 = q. Let w = q - 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 26078, 52154, 78230, 104306?\n\"Answer: 26076*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**3)**(-1\/5)\/(((c**(-2\/15)\/c)\/c)\/c*c**1) assuming c is positive.\nAnswer: c**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 625 + -621. Solve 11*b = 9*b + 3*f - 15, -21 = o*b - 3*f for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**2 + 14*q + 2. Give a(-16).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -68 + 71. Let 0*c + 2\/3*c**2 + 2\/3*c**4 + 0 + 4\/3*c**p = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 6*d**3 - 6*d**2 - 16*d + 40. Let r be q(3). What is the greatest common divisor of 380 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -14529*w**3 - 10*w**2 + 5*w - 11. Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes after 3:11 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18988 is divided by 18723?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 907*o - 36800 = 183*o - 748*o for o.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 1:43 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*t - 100*t = -20. Suppose -6*k = -k - s - 608, -3*k = t*s - 348. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3068100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 6*l**2 + 2*l + 4. Suppose -4*o = 2*r + 12, -4*o + 5*o - 12 = 2*r. Let c be v(r). Is 5\/((-20)\/c) + 67 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1742*i**3 + 917*i**2 + 4756773*i?\nAnswer: -10452*i + 1834","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 10*z**4 - 50*z**3 + 86*z**2 - 64*z + 6. Suppose -4*v + 83 - 107 = 0. Let j(u) = -u**4 + 3*u**3 - u**2 - 1. Let q(t) = v*j(t) - k(t). Factor q(d).\nAnswer: -4*d*(d - 4)*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 29\/2 of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/33, -0.5, 2, -3?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 5 = j, 0 = k - 2*k + 4*j - 15. Solve k*t = -5 + 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, 3, 16.\nAnswer: -25, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225075 is divided by 108505?\nAnswer: 8065","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.01 and 592052.8.\nAnswer: 592052.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12130674, -12130673, -12130672, -12130671, -12130670, -12130669?\nAnswer: -12130668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 10*m - 8*m - 77, -3*a - 105 = -3*m. What is the highest common divisor of 28 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 299 = 10*q - 5*q + 2*g, 3*g + 230 = 4*q. Let v = 62 - q. Suppose -8*d + 4*d = -2*d. Which is the biggest value?  (a) d  (b) 1  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**3\/5 + 1288*i**2\/5 - 168904*i\/5 + 66528 = 0.\nAnswer: -756, 2, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5913\/28704 - (96\/156)\/8 and 33\/92.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*a = 1093 + 1149. Let o be ((-1)\/6)\/(a\/(-177)). Suppose -1\/2*z - 1\/4 - o*z**2 = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266582716 to the power of 1\/2, to the nearest integer?\nAnswer: 16327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -7*f. Let d(m) = -16357474*m**2. Determine d(b(u)).\nAnswer: -801516226*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27400224.\nAnswer: 2, 3, 61, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -6*f + 27. Suppose 3*u - 2*u = -f*c + 242, 0 = -5*u + 25. Let i = c - 49. Solve -3*v - v + 2*l = 20, 5*v - 5*l + i = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.738847 hours to seconds.\nAnswer: 6259.8492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) 0.0822  (b) 210  (c) -5  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 76, 109, 4, -3, 3, -126, 2 in ascending order.\nAnswer: -126, -3, 2, 3, 4, 76, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 130 and 1066.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d = 11*d - 265. Calculate the remainder when d is divided by 1\/(-4) + (-57)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of -3*k**6\/2 + 7*k**4\/4 + 163*k**2\/2 - 235. What is the second derivative of c(x) wrt x?\nAnswer: -180*x**3 + 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2378 - -2481. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 10 = 0, -2*g - 3*g + 16814 = 4*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = h**2 + 5*h - 4. Suppose -3*n - 15 = -3*f, 5*f = -5*n - 2 + 7. Let d be j(f). Round d to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32034 and 4674?\nAnswer: 1313394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 156 times -90\nAnswer: -14040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 28*t - 129. Let v be s(24). Let c = 1730 - v. List the prime factors of c.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j**3 + 16*j**2 + 5*j - 3. Let t be 5 + -1 + 0\/3. Suppose t*z = -z + 100. What is the remainder when u(16) is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (29 + -22 + 9 + 9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8*8\/(-40))\/(4\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -161 + 239 = 6*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -30*y + 1366 - 76. Suppose 246 = 2*a - 92. Calculate the remainder when a + (1 - 1 - -1) is divided by y.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1015643 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 7\/2 + 1\/(-2). Suppose d*u = 3*h - 69, 4*u + 8 = -0*u. What is the remainder when h is divided by (1\/(21\/36))\/((-14 + 17)\/21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:28 AM and 3:08 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2.9 - 4.84. Let q = 0.06 - g. Let z = -1071 + 1070. Which is the biggest value?  (a) q  (b) z  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1)\/9 + (-12)\/(-108). Let z(a) = -5*a - 3. Let d(n) = 4*n + 3. Let w(b) = 4*d(b) + 3*z(b). Give w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 7, v: 12}. Give prob of picking 1 v and 1 w.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 316867, 633616, 950341, 1267030, 1583671?\nAnswer: 1900252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**3 + 2*i**2 + 44*i + 45. Calculate s(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 4*q - 9. Let o(r) = -1. Let w(x) = -2*o(x) - z(x). Is w(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1423, -2968, -4631, -6412, -8311, -10328, -12463?\nAnswer: -14716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 5, d: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -3*j + 6. Let b be h(-7). Solve -3*r + z + 3*z = b, -5*r = 5*z + 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16868 + -16865. Factor 2\/9*j**5 + 0*j**4 - 8\/9*j**d - 4\/9*j**2 + 4\/9 + 2\/3*j.\nAnswer: 2*(j - 2)*(j - 1)*(j + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*r - 8*f - 68 + 52 - 112, 19 = f - 13*f + f - 157 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -5469350000 to the nearest one million.\nAnswer: -5469000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (60\/(-10))\/(0 + -2) - 1. Suppose 4*j - 12 = -0*j. What is the greatest common divisor of p and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128 a factor of 12160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 770 divide 46411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -311.3444192 and -0.3?\nAnswer: 93.40332576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -93, -177, -355, -657, -1113, -1753?\nAnswer: -2607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (25\/(-750))\/(7\/(-35))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 (base 15) in base 10?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 2*c - 4*z, 535 = 4*c + 114*z + 421 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 + 4*k**2 + 3*k - 19. Let n be v(3). What is the units digit of (38 - 39)\/(2\/4 + n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4841 - -4836. Let g(s) = 3 + 0*s + s**2 + 0*s + 3*s. Determine g(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 1:14 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 + b**2 + (5 + 1 - 4)*(0*b**2 + 5*b**2 - 4*b**2) + (-19 + 19 - 21*b)*(11*b + 5*b - 2*b) + 0*b**2 + 0*b**2 - b**2.\nAnswer: -292*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -4*h**3 + 580*h**2 - 552*h - 8. Let u(z) = 2*z**2 + z - 1. Let l(j) = -s(j) + 8*u(j). Factor l(t).\nAnswer: 4*t*(t - 140)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*d - 10*d - 22*d + 10*d + 48*d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -64 + 109. Calculate the greatest common factor of 9 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f - 15 = -27*y + 7*y, 0 = -y - 2*f - 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 431326, 862657, 1293988, 1725319?\nAnswer: 2156650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let j be 5372\/34*(-2)\/(-4). Suppose -f + 4*q + 44 + j = 0, 3*f = 5*q + 341. Which is smaller: f or 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 888 = -3*z, -4*v + 3*z + 228 + 954 = 0. What is the greatest common divisor of v and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*w**2 + 61*w - 69*w + 17*w**2 + w**2 + 2*w**2 - 2*w**2 + 2*w**2 + w**2 - 2*w**2 + (2 + 2 - 2)*(0*w + w**2 + 0*w) - w**2 - 4*w + 4*w.\nAnswer: -3*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w - 2*w = -8. Suppose -15 = 5*p + 5*d, 2*d + 13 = w*p + d. Let q(m) = m + 1 - 5*m**2 + 5*m**2 + m**p. Calculate q(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 6*l - 4. Let u(m) = -6*m + 3. Let j(x) = 3*u(x) + 2*y(x). Is j(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 565 - 369. Let b = 197 - d. Solve -3*y - 5 = b for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6565166?\nAnswer: 2, 23, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 3 + 7*q - 5*q**2 + 5*q**2 - 9*q**2 - 14*q - 3*q**2. Let l(y) = 8*y**2 + 5*y - 2. Let h be ((-1)\/(-2))\/(4\/56). What is h*l(k) + 5*g(k)?\nAnswer: -4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 41213 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: Rearrange (t - t + t)*(277 + 328*t - 239 - 326*t) to h*t + r*t**2 + w and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*a = 4*y - 16*a - 24, -4*y = 4*a + 4. Sort y, -105, 4, -3 in ascending order.\nAnswer: -105, -3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48716 = 43*w - 51167 for w.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3*(-5)\/15*5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 + 15. Suppose 2*a - 4*h - 185 = -a, 0 = -4*a + i*h + 230. What are the prime factors of a?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y - 3. Let x be r(-6). Let h(m) = m - 5*m + x*m. Let w(q) = -6*q. What is h(w(j))?\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:06 AM and 11:27 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10596\/132 - -7 - (-2048)\/2816?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 + -22d9c?\nAnswer: -22d9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 492 is divided by 134?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2160\/(-288)*(-4)\/3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -81 - -85. Suppose -2*l + 4 = -2*v - 0, -8 = -v - n*l. Let o be (0 - 5)*8\/(-10). Sort -3, o, v.\nAnswer: -3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.48334 * 4.\nAnswer: 21.93336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -276, -259, -228, -183, -124, -51, 36?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*n + 11*n = -69. Let y = n + 25. Let i be y + (-7)\/((-7)\/3179998). What is i rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(40\/6))\/(((-60)\/6710)\/((-28)\/77)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2419305636 a multiple of 471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -4. Let o(j) = -j + 14. Let h be o(12). Suppose -2*a - h = -5*y - 33, -5 = -2*y - 5*a. Sort -4, y, m in increasing order.\nAnswer: y, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -375.5*-3\nAnswer: 1126.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k + 5222 - 792 = 0. Let v = 1371 + k. List the prime factors of v.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7236*a**3 - 2205*a**3 - 5060*a**3 + 2*a**2.\nAnswer: -29*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -3, -2\/5, 246, 3, 0.11, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 65 + 1828?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 5670988\nAnswer: -1\/2835494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1047\/(-12) - 1\/(-4). Let a = -22 - x. Let b = 5.532 + -5.532. Which is bigger: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -442\/23 + 10877\/414. Find the common denominator of v and (10\/25)\/((-24)\/(-825)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (100\/6)\/((-26)\/(-117)). Suppose -2*k + 69 = d - n, 0 = -3*d + 2*k + 432. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (113*u - 113*u - 93*u**3)*(-5*u - 6*u + 3*u - 2).\nAnswer: 744*u**4 + 186*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 45 + -50 + (0 - 1) + 2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(192) - (2*sqrt(60))\/sqrt(5))*4)\/(sqrt(18)\/(sqrt(3)*-3) + sqrt(486)*-1).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21 - 21.1. Let k = 43\/3 - 1081\/75. What is the closest to o in k, -32, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -110897*v**5 - 14*v**4 - v**3 + 26914382*v.\nAnswer: -2217940*v**3 - 168*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/8)\/((-3)\/(-12)*-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - 350?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 170176104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 143 a factor of 12801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 139*d**4 + 5*d**2 - 4*d + 134. Let w(p) = 138*p**4 + 4*p**2 - 3*p + 135. Let h(u) = -4*l(u) + 5*w(u). What is the second derivative of h(g) wrt g?\nAnswer: 1608*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -5. Let q(c) = 12*c + 4. Is q(m) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 352 - 22579031381.\nAnswer: -22579031029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 + 19805*c - 197951. Calculate o(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(((l\/l**(-22))\/l)\/l)*l**(2\/21)\/l*l)\/((l\/(l*l**23*l))\/((l\/(l\/l**(9\/5)))\/l)) assuming l is positive.\nAnswer: l**(514\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180)*2*-3 + 0)**2 - (-1 + -2*sqrt(180) + sqrt(180) + -1 + sqrt(180)*1).\nAnswer: 6482","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -36 + 39.4. Let u = j + -3. Let o = -101\/140 - 1\/35. Which is the second smallest value?  (a) u  (b) 2\/9  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3176.1 - -3176. Which is smaller: i or 3\/881?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -786612 (base 9) in base 4?\nAnswer: -1302322232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 26*g**3 + 7*g**2 - 16*g. Let a(w) = -26*w**3 - 9*w**2 + 16*w. Let u(j) = -4*a(j) - 5*s(j). Find the third derivative of u(m) wrt m.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3*s - 40. Let v be g(15). Let z(r) = r**2 - 3*r - 13. Let y be z(v). Which is the nearest to -1?  (a) 2\/9  (b) -2  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 39\/10 - 6\/(-60). Let x = 1 + 91. Calculate the highest common factor of v and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 329 + -329.2. Which is the second biggest value?  (a) 12  (b) k  (c) -5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = a**2 + 2*a + 2. Calculate the remainder when y(11) is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 890*a + 898*a + 12 = 0, 0 = -5*m + a - 101 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 41*z + 210 = 44*z. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6514713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1383, -1364, -1321, -1242, -1115, -928, -669?\n\"Answer: 2*m**3 + 5*m - 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/6)*x**22)**(-21\/4) assuming x is positive.\nAnswer: x**(-917\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2008533535.\nAnswer: 5, 23, 2251, 7759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3379.5 - -3375.5. Sort n, -0.044, -1\/3 in ascending order.\nAnswer: n, -1\/3, -0.044","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10690992 and 663?\nAnswer: 181746864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1498324*m**4 - 3*m**2 - 19860898*m wrt m.\nAnswer: 17979888*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4744?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -21 - ((21 - (-12 + 5)) + -19).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 9 + (-368)\/40 - (-52)\/10. Suppose -d*y + 1437 - 312 = 0. Does 45 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -6. Let o = -3 - 4. Let g = o - -5. Which is the smallest value?  (a) -4\/7  (b) m  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -262, -261, -260, -259, -258?\n\"Answer: h - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 - 3*o**2 + 8*o - 14. Let y be h(-5). Put -8, y, 3 in decreasing order.\nAnswer: 3, y, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 PM and 9:41 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 184, 262, 340, 418, 496, 574?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, c: 4, k: 10, j: 1}. Give prob of sequence kkk.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 14 in 0.3, -3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5 + 56*k - 31*k - 22*k wrt k.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3*y = -16, -3*b + 5*y - 5 = 0. Differentiate 14*i - 28*i + b*i + 49 + 19*i with respect to i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2138232 divided by 2173?\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*y + 10 = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 36\/(-42)*((-5)\/(-6) - 1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91 + 1190*r**3 - 91 - 1196*r**3.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1092 and 23172?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of i**3*j**3 + 4*i**3*j**2 + 2*i**3*j - 130*i**2*j**3 + 3*i*j wrt j.\nAnswer: 6*i**3 - 780*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 2*p**3 - 69*p**2 - 40*p + 157. Determine w(35).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1926.535 rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lsllssatslsftss. Give prob of picking 1 l and 1 a.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 8228.536 centimeters in micrometers?\nAnswer: 82285360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -17*j + 2. Determine z(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/5, 1, -0.05, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 214 and -30.29.\nAnswer: -6482.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + 1734d?\nAnswer: 17352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 AM and 11:55 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:52 AM and 2:04 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 23*a - 3. Let x be 693\/22*(-8)\/(-6). Let m be (-8)\/(-14) - (-60)\/x. What are the prime factors of g(m)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00046533377 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 48 = y - 3*y, 0 = -5*y + g - 120. Let d = 2 - y. What are the prime factors of d?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 153\/23 or -0.0617?\nAnswer: 153\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 32.37750392738 + 0.32249571462. Let o = 2.84 - -29.86. Let z = o - k. What is z rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 667981 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 4 and 2056.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.6  (b) -3\/7  (c) -2\/9  (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 596542.\nAnswer: 2, 71, 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(144)\/(sqrt(21)\/(sqrt(14)\/sqrt(2))))\/(-2*sqrt(24) + (5*1*sqrt(6) + sqrt(6) - sqrt(6))))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.84 + -0.16. Let d be 455\/(-78) - (-1 - 5). Put 2, -1\/4, z, d in descending order.\nAnswer: 2, d, -1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*((-2)\/(-12)*-1 - (-590)\/7788)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 17c?\nAnswer: -17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -18\/545 and -107\/3045?\nAnswer: 331905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 50188572 and 810.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 90169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -503 divided by -48\nAnswer: 503\/48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3c4 (base 14) in base 13?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 220883193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -c**3\/3 + 3*c**2 - c - 7. Determine d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 62088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1907*m - 13160 = -3223*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 26 + -20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = h**3 - 3*h**2 - 8*h + 3. Let g be c(5). Suppose -4 = -3*w - g. Let m be (-1 - 2\/w)*-1. Is m > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 2*f + 24. Let g be v(-4). Solve -g*d = -12*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vtv when three letters picked without replacement from {v: 3, t: 5}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i**2 + 11*i - 11. Let k be z(4). What is the closest to k in 0.3, -2, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-27)\/(-30))\/(12\/10). Let d be (-6)\/(-28) - 4\/(-14). Put u, -2, d in ascending order.\nAnswer: -2, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -569, 5, -1, 3 in increasing order.\nAnswer: -569, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 4*n**3\/5 + 1816*n**2\/5 + 2860*n + 12488\/5 = 0.\nAnswer: -446, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 7 = w - 5*w, 0 = -5*w + 15. Let j be ((-250)\/100)\/(1\/(-2) + y). Is j < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 4*f = -103, 0*d + f + 210 = 5*d. Suppose -50 = -905*p + 915*p. Is (-82)\/(-3)*d - p\/15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w. Let b(x) = -156*x + 623. Give s(b(m)).\nAnswer: -156*m + 623","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*c + 2*c + 4*c. Suppose -2*j + 842 + 1100 = c. Suppose 311 = -5*t + j. Is 22 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((4*sqrt(245)*1)**2 + sqrt(245)).\nAnswer: 21*sqrt(5) + 11760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1374 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2\/99, -2\/3, 3?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h - 5*h + h)*(2*h**3 - h**3 - 3*h**3) - 4*h**4 + 3*h**4 + 0*h**4 + (-3*h**2 - 7 + 7)*(-h**2 - 670*h + 670*h).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 284748  (b) 0.03  (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + 0 + 2 + 3. Let b = -237 - -237. Let n be k(b). Solve 4*d = n*g + 8, g + 3*d + 1 = 7 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n = 6 - 16. Let u be 67\/3*n*(-12)\/8. Let k = -73 - u. Let h(g) = g**2 + 8*g + 9. Give h(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 44\/(-7) + 50\/175?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -502 at least as big as -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -4 - l**2 - 2*l + l**2 + 0*l**2 - l**2. Let z be a(0). What are the prime factors of (-49)\/14*z\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -305\/18 + -41\/9. Find the common denominator of 15\/4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ssz when three letters picked without replacement from zisxissssssxxisiisss.\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**2 + 7*s + 2. Let i be x(-8). Let u(p) = -p - 2. Let n be u(i). What is the tens digit of (-4 - 56\/n)*42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2874 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3801*x - 8884*x = -902782 - 479883 for x.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -12*m - 11. Determine x(-8).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 46 + -36.25. Let f = 0.42 - l. Let y = f + 8.7. What is y rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -137635 + 2?\nAnswer: -137633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1457 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: b\"What is the th term of 50, 83, 118, 155, 194?\n\"Answer: b**2 + 30*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3453 + -2?\nAnswer: 3451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1294852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -7*d**3 - 26*d**2 - d + 52. Let l(z) = 11*z**3 + 39*z**2 + 2*z - 78. Let w(h) = -5*l(h) - 8*r(h). Let p be w(-13). Solve -k - 2*k = p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 75427 = 2*r + 9799, -131214 = -4*r - 2*w. What is the ten thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 15.6 and -843171.\nAnswer: -13153467.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*y**2 - 4*y**2 - 6*y**2)*(81*y - 105*y + 36*y).\nAnswer: -72*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(sqrt(891) + (sqrt(891)*-1 - sqrt(891))) - (3 + sqrt(48) + 2)**2.\nAnswer: -73 - 361*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, d: 3, i: 3, e: 7, u: 4}. Give prob of picking 1 u and 1 i.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -54*l + 491. Let g be p(9). Solve 0 = 5*i - x, i + 2*x + 6 + g = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of -u**9\/168 - u**5\/20 - 3*u**2\/2 - 2. Let x(h) be the second derivative of o(h). What is the third derivative of x(d) wrt d?\nAnswer: -360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of 49*a**4\/4 - 2*a**3\/3 + a**2 + 2*a + 1984. Let d(v) = -4556*v**3 + 187*v**2 - 187*v - 187. Give 2*d(n) + 187*p(n).\nAnswer: 51*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hw when two letters picked without replacement from {m: 2, h: 1, w: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + (5 - -10 - 10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = 3*y + 327, -217 = -3*t - 4*y + 124. Suppose 4*o = w + t, -2*o + 6*w - 3*w = -63. Calculate the highest common factor of o and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 94439\/2236 + 8\/559. Let k = 40 - f. Let y = -16081\/6 + 2692. Calculate the common denominator of k and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 36693973*a**3 + 107285364?\nAnswer: 110081919*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 931, 0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/11 - 8642\/(-22). Let d = -2136 - -3313. Let u = d + l. Round u to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r + 136 - 268 = -120. Suppose q + 4*o = -8, 8 = -4*q - 5*o - 2. Solve q = r*m + 2*z, -2 = 2*m + 3*z - 2*z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 5, i: 2}. What is prob of sequence ii?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 6*f**2 + 63*f - 34. Let r be s(-11). What is the fourth smallest value in 0.2, r, -4.4, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 9*w. Let n(t) = -1848*t**2 + 2*t. What is n(y(f))?\nAnswer: -149688*f**2 + 18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + 6*i + 2. Let u(d) = -d**2 + 5*d + 3. Calculate 3*b(m) - 4*u(m).\nAnswer: m**2 - 2*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141*l + 346549 = -134*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the first derivative of 12*i**3 - i**2\/2 + 2. Let w(v) = 98*v - 12. Let c(p) = -8*p + 1. Let n(u) = -12*c(u) - w(u). Give o(n(f)).\nAnswer: 144*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 2, c: 7, x: 1}. Give prob of sequence xv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.06 + -9.04. What is the closest to -4\/19 in 6, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 AM and 9:58 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 780\/(-468)*4\/(-30)*3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 3*y + 7 = 0, -169*o + 4*y = -165*o + 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(5\/1))\/(12\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2, -0.1, -5, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-45))\/((35\/(-5))\/63).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 6, 2, -34, -118 in increasing order.\nAnswer: -118, -34, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 14290 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 341300 rounded to the nearest ten thousand?\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10 and -11.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -4*i + 54273, 36*i - 41*i = 25. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 622, 1\/13, 5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13022 + 3?\nAnswer: -13013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 5*c = -3*m + 47, -63 = -m - c. Suppose k - v - m = -8, v = -k + 67. What is the remainder when k is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 60 - 9 = 0. Let d = -30 - y. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**2 - 4*z - 1. Let x = 9 + -5. Let c be t(x). Let k be 0 - (c + 3\/(-3)). Solve 5*v + 3 = k*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -3*w**2 + 27*w. Give d(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 351*f**2 - 700*f**2 + 19*f + 340*f**2 + (37*f**2 + 40*f**2 + 10*f**2)*(-3 + 4 + 1) to k*f**2 + u + r*f and give r.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1981168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 s when three letters picked without replacement from btetebentbelelbsee?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 9 - 3 = 0, 5*y - 87 = -2*f. Let q = y + -15. Suppose 0 = 4*r - 3*r - 4. Solve 2*s + 0*v = q*v - 6, r*s - 9 = v for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -11406, -11401, -11392, -11379, -11362, -11341?\nAnswer: -11316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 71161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) be the second derivative of s**5\/5 - 2*s**4\/3 - 2*s**3 + 334*s. Determine u, given that j(u) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 4*w = -202, -4*w - 8 = -20. Let i(b) = -38*b + 19*b**2 + u*b. Let j(y) = -2*y. What is j(i(q))?\nAnswer: -38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -806 + -1\nAnswer: -807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9023 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -48*s - 61. Give g(8).\nAnswer: -445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 748537, 748541, 748547, 748555, 748565, 748577?\n\"Answer: z**2 + z + 748535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 2*k**2 - k + 5. Calculate x(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of -u**4\/12 + 4*u**3\/3 + u**2\/2 + 6*u. Let h be x(8). What is the units digit of 27 + (h + -2 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.12*-2\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 561 = 4*h + 5*l, -l = 3*l - 20. Suppose 133*o + 70 = h*o. Calculate the remainder when o is divided by 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -3, 0, 0.14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66637 is divided by 119.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the third derivative of k**6\/60 - k**5\/20 - k**4\/24 + 2*k**3\/3 + 17*k**2. Let v(z) = -2*z**3 + 2*z**2 - 3. Give -3*t(d) - 4*v(d).\nAnswer: 2*d**3 + d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 127*t - 5380 - 6342 - 3991 + 2759 for t.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 901.95 times -0.1\nAnswer: -90.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -412979, -412886, -412793, -412700, -412607, -412514?\nAnswer: -412421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-2) + 242\/4. Suppose 0 = -2*o + o - 3, 40 = 5*j - 5*o. Suppose 13 = k + 5*u + 3, -2*k = -j*u - 50. Calculate the highest common factor of r and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -8, 2 in ascending order.\nAnswer: -8, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by 128?\nAnswer: -5\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2*t = -158, -10*h + 6*h = 5*t - 311. What is the units digit of ((-42)\/(-24))\/(3\/h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + (-1 + sqrt(99))*1 - (sqrt(99) + sqrt(99) + 5 + (sqrt(99)*1 - sqrt(99))) - (-4 + 5 + 1*sqrt(99) + sqrt(99)))**2 + 3.\nAnswer: 84*sqrt(11) + 448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 73 divide 1066311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 644508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes before 1:50 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqqqbbqqqqqqqqqqq. Give prob of picking 2 q and 2 b.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 106*u**2 + 5*u - 2. Suppose 17 = -3*b + 20. What are the prime factors of r(b)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r - 11 = 1, -4*r = -2*m + 16. Suppose 4*x - 400 = -3*v, v + m*v = x + 410. Suppose 2*l - 6*l = -v. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = -2*g + 34. Let u = g - 5. Calculate the remainder when u is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2606088 is divided by 4277?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 9.515029 times 4\nAnswer: 38.060116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -14 - -14. Suppose d + 30 = 3*w - t*d, w - 10 = -d. Suppose -2*x + 16 - 4 = 0. What is the lowest common multiple of x and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes after 10:45 PM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1442334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 206768367854.999999463 - 206768367741. Let u = -114 + d. Round u to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 119 - 59. Calculate the greatest common factor of q and 10340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 41 = 4*w + 261, -2*f - w = -165. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -54*m**3 - m**2 - m. Let n(o) = 1979*o**3 - 3*o**2 - 6*o + 386. Let w(y) = -n(y) + 3*s(y). Differentiate w(c) wrt c.\nAnswer: -6423*c**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {i: 1, w: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/4*(-12)\/9*1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*y - 2*y**4 + 2356 - 2*y - 2495 - 4*y**3 as l*y**2 + x*y**4 + f*y**3 + j*y + b and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m. Let r(p) be the third derivative of -2*p**2 + 0*p**3 - 1\/60*p**5 + 0*p**4 + 0*p + 0. Determine r(c(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18\/5*u**4 - 24\/5*u**3 + 27\/5*u - 12\/5 - 3\/5*u**5 - 6\/5*u**2 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 213 + (-41 - 57) + -95.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 22*d + 13. Let k be 2 - (25\/10)\/(1\/2). Let b be w(k). Is (2 - 5) + b*2*-11 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -12 - -8. Let q be 0 + 1 + n\/(-4). Solve -q*t - 2 = 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 86915 + -52212. List the prime factors of d.\nAnswer: 34703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/157?  (a) -0.5  (b) -0.16  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5690959*l - 296520*l + 1635676*l.\nAnswer: 7030115*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1\/(4\/8) + 4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-3)\/3)\/(-1) + 3. Solve -t*k = -5*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -6*y - 63. Let v = -9 - y. Which is bigger: v or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -i - 2*q, 0*q = -2*i + q - 14. Let v = 9 + i. Which is smaller: v or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17.81 - -18. Let h = l + 5.81. What is the second biggest value in -1, -5, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -52*x**3 - 2*x**2 - 143*x + 147. Determine n(1).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*k + k + 2*k)*(92 + 16*k - 92) + 1226 - 1226 + 353*k**2.\nAnswer: 369*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.06?  (a) 69  (b) 5  (c) 51  (d) 3\/4  (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 4*q = 7516, 5*q = 1 - 21. Let n be (-960)\/((-2)\/y*(-72)\/1544). What is n rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9640 and 3856.\nAnswer: 19280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4525 - -4530. Solve v + 19 - 17 = -2*n, -g*v + 23 = -n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11\/100830 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 13 + 0 + (-21525)\/1659.\nAnswer: 2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r**(2\/21)*r*r\/(r\/r**(-6))*(r**(-13)\/r)\/r**(-10) assuming r is positive.\nAnswer: r**(-166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 24710 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1267, 3, -1, 18 in descending order.\nAnswer: 18, 3, -1, -1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*z**2 + 196980*z - 131316.\nAnswer: -3*(z - 21886)*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 PM and 11:09 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 67498, 67508, 67520, 67534, 67550, 67568, 67588?\n\"Answer: p**2 + 7*p + 67490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-4)*g\/(g\/g**(-17)))\/((g\/(g*g\/((g*g\/(g*g\/(g*g*g\/g**(9\/4)))*g)\/g*g)*g))\/(g*g**(-1\/3)\/g)))**(-8) assuming g is positive.\nAnswer: g**(506\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -c + 6, -3*c - 4 - 8 = 0. Is 37 a factor of (a\/(-3) + -4)*-222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*g = 36*g - 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -173, 1, 85 in decreasing order.\nAnswer: 85, 1, -1, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6158a8 (base 11) in base 8?\nAnswer: 3613020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 2*m + 83 = 0. Let p = -83 - m. Suppose p = -7*c + 660 + 810. Does 42 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -367\/267?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1600*y**4 + 864*y**3 + 2*y**2 - 63*y + 214?\nAnswer: -38400*y + 5184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -93*((-16)\/(-12))\/(-3 + 1). Suppose 9*g - 4*g + 4*h = 100, 3*g + 2*h - b = 0. Let s be (-16)\/10 + 2 + g\/15. Solve v + 3 = -s for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -37996*v**2. Let n(l) = -6*l. Determine n(m(u)).\nAnswer: 227976*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/(-16)*(180 + 11). Let c = 24 - n. Let p = 33 - 65\/2. What is the closest to p in -3\/2, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 368?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6564 - 6562. What is the closest to -162 in f, 5\/3, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 356 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 205 + -150. Is y bigger than 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3 - 11010*p**2.\nAnswer: -3*p**2*(p + 3670)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -5 + 195\/(-35)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, s: 1, l: 8, i: 2, o: 7}. What is prob of picking 2 o?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 68606499 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**2 + 29*n - 54. Give u(-15).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 136 and 7208.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = -5*u + 8, -2*i - 22439*u + 22440*u + 1 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -p. Suppose p = -m - m. Suppose -y + m*y + 3 = -5*s, 3*y = 5*s + 19. Calculate the greatest common factor of y and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -103, -0.0164, 1\/3?\nAnswer: -0.0164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1001068562 to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 26*(0 + -15 + 9 - (-36762)\/12). Calculate the highest common factor of 65 and k.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*z = 76 - 2885 + 409. Calculate the remainder when 812 is divided by z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**(-1)*j*j))\/j)**(-42)\/(j**(-1\/3))**(-2\/9) assuming j is positive.\nAnswer: j**(1132\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*a**3 + 5 + 40*a - 38*a + 9*a**2 + 3*a**3 + 9*a**3 to the form r*a**2 + i*a**3 + p*a + n and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*v**5\/5 + 3498*v**4\/5 - 21069*v**3\/5 + 31656*v**2\/5 + 14028*v\/5 - 42192\/5 = 0. Calculate v.\nAnswer: -1172, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (24640\/15840)\/(((-12)\/27)\/(-4)*4)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 5, -0.4, 0.3, 2\/7 in descending order.\nAnswer: 5, 0.3, 2\/7, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 137 - -174. Suppose 2*a - 3*q + 442 = -4*q, 0 = 4*a - q + 878. Let d = x + a. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-5 + ((sqrt(684)*-2 + 5 - sqrt(684)) + -2 + ((sqrt(684) + 1)*4 - sqrt(684) - sqrt(684)) + -4 + -2)**2).\nAnswer: -1360 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-16))\/(4\/14*(-21)\/(-8)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.05 - -0.01. Let y = 0.46 - t. Let p = 18.7 + -19. Sort y, p, -0.5 in increasing order.\nAnswer: -0.5, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -27 + (4 - -13) + -9 + 2\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12385 is divided by 92.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1667.5 - 1667. Put -0.2, -1, a, 2, -3 in ascending order.\nAnswer: -3, -1, -0.2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 231 + -138. Calculate the remainder when b is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2592 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -14816219 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2833 + -94. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*s - 58 + 50 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.3 + -9.8. Let u = -8 - t. Which is the closest to 1\/3?  (a) u  (b) -2\/15  (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11 + 10 + 0 + -3 + (-69 - -54)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - 1. Suppose 2*p - 6*p - 16 = h, 0 = -5*a - 3*p + 678. What is the tens digit of (2*(-4)\/3)\/((-4)\/a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 751 a factor of 8086714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = i - 6. Let q(s) = 2*s - 11. Let b(c) = -10*k(c) + 6*q(c). Suppose 3*t + 24 = 2*j, -2*j - 36 = 3*t - 0*j. Let x = 15 + t. Determine b(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 4, n: 3, r: 1, e: 4, f: 4}. Give prob of sequence neer.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 5*u**2 + 22*u + 75. What is the units digit of f(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45 - 43. Is 10 a factor of -7*13\/(-2)*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k = k - 144. What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + 44362 = 4*v, 14*v + 3*p = 9*v + 55425. Is v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.4, -1, 6\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*x - 8*s - 226 = 0, -5*s - 92 = 5*x - 74 + 97 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-2\/7))\/h)**(6\/17)\/(h**(-1\/13)*(h*h**(7\/6))\/h) assuming h is positive.\nAnswer: h**(-9179\/9282)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -149*w + 144*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2 - 7*z + 4*z + 2 wrt z?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:53 AM and 12:34 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i**(-2\/11))**(-42)*(i\/(i*i\/(i\/(i\/((i**(1\/5)\/i)\/i)))))**27)**(31\/4))**37 assuming i is positive.\nAnswer: i**(-1734264\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -43 + (-52 - -8) + (17 - 52).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -107*h**3 + 52*h**3 + 53*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1200 by -25.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 48307a (base 16) to base 11\nAnswer: 2741521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 7*u. Let z(y) = y**3 + 14*y**2 + 8*y - 6. What is the remainder when z(-13) is divided by q(-10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6974a7 (base 12) in base 8?\nAnswer: -6351377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*a**2 + 0*a**2 - 7 + 7.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -17 + 156174?\nAnswer: 156159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 114 is divided by 61.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.88873272 and -0.3?\nAnswer: 0.58873272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5552839, 5552842, 5552847, 5552854, 5552863, 5552874?\n\"Answer: x**2 + 5552838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 116543.2 times 4?\nAnswer: 466172.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -21*b + 22. Let j be z(4). Let x = j - -68. Calculate the smallest common multiple of x and 22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 44*j**2 - 36*j**2 + 18 - 9*j**2 to h*j**2 + m + f*j and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -6*z**2 + 2*z + 134. Let t(r) = 4*r. Determine o(t(l)).\nAnswer: -96*l**2 + 8*l + 134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1228617 plus -931?\nAnswer: 1227686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p - 9 = 6 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 11150 - -5?\nAnswer: 11155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21120022 - -100210?\nAnswer: -21012112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.8656 - 480.9656. Let a = -96.1 - g. Let s = a + -391.68. Round s to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-102 + 103)\/((-5)\/2))\/(2\/(-90))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n = 10*n + 68 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1 + -0.04. Let q = 0.06000011 - p. What is q rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13730 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 + 21*l**2 + 40*l - 28. What is p(-18)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 (base 6) in base 2?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00631 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of -s**6\/120 - 7*s**5\/60 - s**4\/3 - 7*s**3\/6 - 3*s**2. Is c(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1*-0.1326\nAnswer: 0.1326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 - (-10 + 36 + -27).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 1 divided by -1913\nAnswer: -1\/1913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 364 + 5*q + 361 - 725.\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 41*v + 639. Give a(-17).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) -3\/8  (c) -9  (d) -674\/13  (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 9*b**3 - 25*b**2 - 30*b - 24. Let o be l(13). Suppose -27*r = -4*r - o. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (r - r - 2*r**3)*(13*r**2 - 14*r**2 + 10*r**2 + (-5 + 1 + 1)*(-r**2 + 4*r**2 - r**2)).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, g: 2, s: 1, a: 1, h: 3, v: 4}. Give prob of sequence govs.\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-1 + (2 - -5) - 12) + -7\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3\/62 or -4.043?\nAnswer: -3\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.02 - 1.02. Which is smaller: o or 337\/2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.01012 + 0.03012. Let o = 0.11 - -3.89. Which is the biggest value?  (a) -3\/2  (b) z  (c) -0.3  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 + -9. Suppose 0 = 3*w - 5*w + 8. Suppose -d - 7 = 2*f, -z*f + w*d = -d + 10. Let s(i) = i**3 + 4*i**2 + i + 4. Determine s(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the second derivative of r**7\/210 + 22*r**6\/75 - 69*r**5\/20 + 154*r**4\/15 + 94*r**3\/15 - 408*r**2\/5 + 1113*r. Determine v so that y(v) = 0.\nAnswer: -51, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141\/94*((-20)\/(-6) - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.804 times -78?\nAnswer: 452.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24.9 - -24.9. What is the closest to f in 1.6, 4, -5?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2688 and 7680.\nAnswer: 53760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 90 minutes before 11:38 PM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 68 + -60. Suppose -o*g + 516 = -1868. What are the prime factors of g?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 66268286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 427288553 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: Subtract 85.87 from 39.711.\nAnswer: -46.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/12*96\/(-12))\/(-6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1126154581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/((-1)\/(-3)*-1). Let f = -18.87 - 0.13. Let w be ((-3304)\/(-196) - 17)*(-14)\/(-4). Which is the fourth smallest value?  (a) f  (b) w  (c) -4  (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 14924 = -42*l + 35*l, -4*i = 2*l - 4264. Does 26 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*(-17)\/2 - -3. Let g = w + 18. Solve -3*s + 5*f = -14, g*s = -3*f - 9 - 11 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-93)\/1085)\/((-72)\/(-112)). Which is the fourth smallest value?  (a) z  (b) 3  (c) 0.38  (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/1889227 and -57\/136.\nAnswer: 15113816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*m = 926 + 129835. What are the prime factors of m?\nAnswer: 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 15 = 5*s - 3*h, 4*s + 13 = h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.05 + 0.07. Let g = 631 + -630.97964. Let v = g - r. Round v to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8\/6 + (-95)\/(-3). Suppose -g = o - 34. Which is smaller: o or -1\/142?\nAnswer: -1\/142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 53457 and 1533258.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let -3328*n**2\/3 - 3644180*n\/3 - 7300 = 0. What is n?\nAnswer: -1095, -5\/832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 73519426 is divided by 2707?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1370, 5432, 12154, 21536, 33578?\nAnswer: 48280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) be the second derivative of 4*o**5\/25 + 7*o**4\/5 - 38*o**3\/15 - 12*o**2\/5 + 179*o. Find d such that i(d) = 0.\nAnswer: -6, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -553 + -31. Let p = f - -596. Solve -24 = -2*y + 5*k - 6, 2*y - 2*k - p = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/43 or -86\/8721?\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express 6019*q**2 - 96*q + 96*q - 2099*q**2 as k*q + t*q**2 + i and give t.\nAnswer: 3920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 328297*k + 328295. Calculate y(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -10110212111 (base 3) to base 5\nAnswer: -4142211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119841 = -44*t + 99015. List the prime factors of t.\nAnswer: 2, 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 108 + -118 + -9 + 2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 2*m + 3*t + 12 = 0, -3*t + 28 = 5*m. Suppose 24 = -m*f + 114. Suppose 0 = -i + f + 31. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q - 3*q - 2*q)*(-20 + 1 - 56)*(3*q**3 + 0*q**3 - 4*q**3).\nAnswer: -150*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65.51438m to millimeters.\nAnswer: 65514.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -74\/4275 and 17\/4750.\nAnswer: 42750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 282, 5, 2, 63, -1 in increasing order.\nAnswer: -3, -1, 2, 4, 5, 63, 282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 2*u - 30 = 3*u, 5*u = 10. Suppose t - 8 = -5*b, b - 3*b + k = -2*t. Solve 2*x - 3*x = -4, -2*p = b*x - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3131360845 and 1315?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 84 - 1899*v - 84 - 2*v**3 + 1899*v.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*69.0942.\nAnswer: -6.90942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 - 2*i**2 + 1 + i**4 - 13 in the form c*i**4 + n + a*i**3 + r*i + u*i**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -3*v**2 - 9*v - 12. Let q(w) = w**2 - 1. Let a(n) = -2*q(n) - r(n). Let b be a(-6). Let d = -1 - -1. Put d, b, -5 in descending order.\nAnswer: d, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 727081?\nAnswer: 227, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from amcmrmmdmbbbc. Give prob of picking 1 a and 1 d.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 120 and 90?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(105\/72)*(-714)\/204?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 30569670847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -2*a + 35. Let l be o(20). Let v(d) = -103*d + 83. What are the prime factors of v(l)?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1756009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, u: 5, i: 1, o: 1, n: 6}. Give prob of sequence nk.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 8, -4, -3\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14073?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5815861, 11631741, 17447621, 23263501, 29079381, 34895261?\nAnswer: 40711141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-189)\/(-315) + (957\/360)\/(-11) and 85\/8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -51243, -51234, -51211, -51168, -51099?\nAnswer: -50998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -41 + 21. Let f = -17 - d. Suppose c = -3*m, -4*m + 5*m = -c + 2. Solve -g - f*s = -13, c*g - 7*g + s - 13 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 18*m**3 - 2*m**2 + 2*m - 1. Let k be u(1). Let j = -956 + 934. Let g = k + j. Put g, 0.5, -0.4 in decreasing order.\nAnswer: 0.5, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 304 minutes before 7:22 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + 13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-3)\/1*(4 + -7). What is the derivative of -v*r**4 - 2 + 8 + 14 wrt r?\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the second derivative of a**6\/72 - 103*a**3\/6 - 2*a + 39. Let d(m) be the second derivative of f(m). Let k(w) = -10*w**2. Calculate k(d(n)).\nAnswer: -250*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.02 + -0.11. Let r = -0.129994 - i. What is r rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 33\/232 and 35\/16?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -10.4, -14\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 83 - 46 - 8038*y - 37 - 21027*y as i + t*y and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1296 - -32365?\nAnswer: 33661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.047592 + -0.452408. Let p = -459 + 2279\/5. Sort 1\/10, l, p in increasing order.\nAnswer: p, l, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -405894444, -405894445, -405894446, -405894447?\nAnswer: -405894448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -37.3 + 37.73. What is x rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -431.41 + -20.59. Do 2 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the second derivative of j**5\/4 - 45*j**4 + 535*j**3\/6 - 147*j - 1. Factor u(c).\nAnswer: 5*c*(c - 107)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 15) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11\/306367949 + 1693755512415967\/42278776962. Let a = l - 40062. What is the common denominator of -63\/10 and a?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r**3 + 56*r**2 - 140*r - 200 = 0.\nAnswer: -1, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 2446 divide 189865858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -4*d**3 - 22*d**2 - 1471*d - 8895. Give v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dplqsdsffffqqq. What is prob of sequence sdp?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of 2726 and 5.1.\nAnswer: 2731.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 0.1, 1, 0, -8\/351.\nAnswer: -8\/351, 0, 0.1, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1054 greater than -1052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -4 * -21342435\nAnswer: 85369740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/1000?  (a) 0.5  (b) -1\/7  (c) 0.4  (d) -114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1.5  (b) -5  (c) -0.4  (d) -1\/3  (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/4)\/((-3)\/(-2) - 1). Let h(w) = 2*w - 1. Let u be h(j). What is the closest to -0.1 in -0.05, 0.1, u?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -56, 2\/3, -0.6, 2, 80?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 286\/390 + (-3 - (-72)\/20). Sort -0.3, 0.5, 16\/7, z in descending order.\nAnswer: 16\/7, z, 0.5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 553, 554, 555?\n\"Answer: p + 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*o**3 - 122*o + 193 with respect to o.\nAnswer: 6*o**2 - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 365365409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.53 + 3.07. Let r = 0.4 + t. Let m = 11 + -9. Sort m, r, 3.\nAnswer: m, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3022164 divided by 108?\nAnswer: -27983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q**4\/2 - 56495*q**3\/2 - 791101*q**2\/2 - 1412713*q\/2 - 339054 = 0. What is q?\nAnswer: -12, -1, 56509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*b)*(2 + 2*b - 2 + (-2 - 3*b + 2)*(3 - 6 + 1)).\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 191 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 a factor of 730220346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -10010111010001000100111 (base 2) in base 10?\nAnswer: -4956711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence or when two letters picked without replacement from rroowroorr?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 7  (b) -0.2  (c) 3  (d) 0  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 34833 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 1145*j**2 - 30*j + 11. Let p(d) = d**2 - 6*d + 2. What is 5*p(a) - t(a)?\nAnswer: -1140*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -529\/8 + 66. Let k = 16 - 236. Let b = 1103\/5 + k. Put z, -0.2, b, 2\/9 in ascending order.\nAnswer: -0.2, z, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 2*a - 2*a - 15794*a**2 - 1 + 15793*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6131 is divided by 219.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -5*y + 4*y**2 - 5 - 3*y**2 + 0 + 0*y. Let r be v(6). Which is the nearest to r?  (a) -1\/3  (b) 0.2  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 222*t - 1 - 6 = 223*t, -3*t = -5*t - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 5*q - 7*q - 5*g, 0 = 2*q - g + 5 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/(-60) + -14 + (-2583)\/(-135). Find j such that 12*j**2 - 12*j**4 - 6*j + 0 - 15\/2*j**c + 27\/2*j**3 = 0.\nAnswer: -2, -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) be the second derivative of 9*m**6\/10 + m**5\/5 + 259*m**4\/12 - 13*m. What is the third derivative of b(l) wrt l?\nAnswer: 648*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12010 (base 10) in base 15?\nAnswer: 385a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1183 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-10)\/(-4) + 2\/(-2 - 2). Suppose 3*v + o*v = 210. Let c = v - 24. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -173, -366, -569, -782, -1005, -1238?\nAnswer: -1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(0 + sqrt(242)))**2 - (sqrt(242) + (0 + sqrt(242))*-3 - sqrt(242))**2) + -2 + 2*(sqrt(242) + -1 + sqrt(242))**2 + sqrt(242).\nAnswer: -77*sqrt(2) + 8470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*1*(sqrt(385)\/(-2*sqrt(7)))\/(sqrt(704)*-1)*5*6*-4.\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1299 or 53006?\nAnswer: 53006","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28 - 36 - 51)*(13 - 103*z - 13)*(-2 - 3 + 3).\nAnswer: -12154*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 + 12. Calculate the greatest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -594866683, -594866681, -594866679, -594866677, -594866675, -594866673?\nAnswer: -594866671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 71 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zmwzwmwwwmmzzmwmwzmm. What is prob of picking 1 m and 2 z?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 76 = -2*q, 0 = 3*z - q + 39 + 17. Let o = 95 + z. Let a(f) = 5*f. What is the remainder when o is divided by a(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 264 and 462.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-79)\/(-8) + (-99 - -89). Which is the closest to 29?  (a) 0  (b) 1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.0567 - -9.0567. Which is greater: g or -25?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 206 and 3.\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -865*l**3 - 8*l**2 + 4*l + 12. Let j(i) = 20758*i**3 + 194*i**2 - 97*i - 291. Calculate -97*b(k) - 4*j(k).\nAnswer: 873*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -14*b + 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -24709, -98770, -222205, -395014, -617197?\nAnswer: -888754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -8 - 2*(-6)\/4. Let a(q) = q**2 + 3*q - 4. Let k(c) = 3*c**2 + 3*c + 3. Calculate the remainder when k(-2) is divided by a(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**2 - 12*p + 25. Let o be u(13). Suppose 35*b - o*b = -6. Solve -4*w - 4 = -a, 4 = a - 3*a + b*w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -w**2 + 53529*w + 523159 wrt w.\nAnswer: -2*w + 53529","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 11 - 46 = -5*d, 0 = -4*d + 16. Sort 2, l, -57 in ascending order.\nAnswer: -57, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2\/(-3))\/((-5928)\/(-684)).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -5, 0.4, 0.001, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -u**3 - 7*u**2 - 6*u + 6. Suppose -42 + 18 = 4*f. Is d(f) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 + 1. Suppose 220 = -26*y + 6*y. Put 3, s, y, 5 in descending order.\nAnswer: 5, 3, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158.1102558s in weeks?\nAnswer: 0.0002614256875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 173671?\nAnswer: 173671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -2*l - 5*d, -4*l + 2*d = -l - 14. Let y be (-3825127)\/(l + (0 - 1)). Let x = y + 8625127. Round x to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a - 41?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 2 = -c, 3*p - 14 = 2*p - 3*c. Suppose -5*f + o = -185, p*f = 7*f + 4*o - 160. Suppose -3*a + f = -0*a. Solve 3*s = -s - a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-24242)\/(-19251))\/((-8)\/(-108))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.2  (b) -3\/2  (c) -0.05  (d) -0.1  (e) -61769\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -3.7, -4, -0.1, 5\/142, 0.5, -31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 150816205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3922 + -3920.3. Which is the nearest to -2?  (a) -4  (b) -0.012  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-3)\/2*(-80)\/12 and -2 + -2 + 48\/2 + -4.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7)\/(35\/(-68)) - (-12)\/30. Solve -2 = -4*d - c, 3*d + 4 = -5*c + r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 181.8  (b) -0.2  (c) 0  (d) 2  (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*o - 41418 = -33*o. Calculate the highest common factor of o and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -5*o + 1. Let n be w(2). Let h = n + 8. Let z = h + 24. Calculate the remainder when 68 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4738, 4706, 4614, 4432, 4130, 3678, 3046, 2204?\nAnswer: 1122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-17070 - 2)*(497\/14)\/(-71)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -163, -576, -1363, -2644, -4539, -7168, -10651?\nAnswer: -15108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 5124*o - 819818. Calculate s(160).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -236, -241, -246, -251, -256, -261?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = -q + 9 - 1, -3*g - 5*q = -18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 120 = -0*u. Solve 4*p + 4*k + u = 0, -3*p = 2*k - 1 + 17 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 4*x = -2*y + 12, 2*x = 2*y - 4. Suppose y - 2 + n**2 + n + 2*n = 0. What is n?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 601705302*o**3 - 38243688?\nAnswer: 1805115906*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1233*i + 719 - 8349 = 1015*i for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -3 times 4.3\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -2*z + 8, 3*z + 102 - 115 = -2*p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6813 is divided by 284?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(375) + (sqrt(60) - sqrt(15))*-1)\/(((sqrt(90) - (2*sqrt(90) + sqrt(90) - sqrt(90)))\/sqrt(10))\/sqrt(3)))**2.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 276\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -82 - -736\/9. What is the closest to -0.1 in 4, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v + 186 = -5*f + 383 - 190, 4*v - 3*f = -11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*j - 9*j - l + 300, 2*l - 6 = 0. What is the remainder when 1188 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34394 is divided by 8598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b*b**(-2\/5)))\/b**3)\/(b**(-2)\/b**(1\/6))*(b**(2\/17)*b*b**3)\/((((b\/(b\/(b*(b**(-2\/7)\/b)\/b)))\/b*b)\/b)\/(b\/b**(-2\/3))) assuming b is positive.\nAnswer: b**(23693\/3570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2111547046 to the power of 1\/3, to the nearest integer?\nAnswer: 1283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 37 - 125 + 42*n - 23*n - 20*n - 69*n**2 - 949*n**2 wrt n.\nAnswer: -2036","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -28307 or -28300?\nAnswer: -28307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 66 - 30. Suppose 4 = -4*j - k. What are the prime factors of 4\/j + 74\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 25\/2782769 and 9\/12395971.\nAnswer: 136355681","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*p + 0 + 0)*(3 - 2 + 1) + 1 + 2*p - 1 + 3*p + 3*p - 7*p - 134*p + 49 + 87 + 132*p as z*p + r and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m**5\/m)\/(m**(3\/14)*m))**42)**(-1) assuming m is positive.\nAnswer: m**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f - 58 = -5*z + 84, -4*z - 12 = 3*f - 131 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33688?\nAnswer: 2, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -4*h**2. Let b = -18 + 47. Let r = b + -23. Let g(n) = -12*n + 24*n - r*n - 5*n. Determine g(a(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 424 = 154. What is the highest common factor of 10 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -187249, -749292, -1686029, -2997460, -4683585, -6744404, -9179917?\n\"Answer: -187347*v**2 - 2*v + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**3 - 2*b**4 + 4*b + 103*b**2 - 106*b**2 - 5*b to q + y*b + t*b**3 + x*b**2 + o*b**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 370*n - 1323*n + 7132 - 21427 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 5*t**3 + 405*t**2 - 830*t = 0.\nAnswer: -83, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-7)*23352\/72*3. Which is smaller: 535 or u?\nAnswer: 535","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - 0. Suppose -m = 2*l - 39. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*l = 16*l + 2*t - 8, 2*t = -2*l + 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve d = -k + 3*k, 4 = 2*k - 2*d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9)\/5)\/(6\/180*6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 12 = -m. Let p(i) = -i**3 - 5*i**2 - 2*i - 5. Let h be p(-5). Put h, 12, m in increasing order.\nAnswer: m, h, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*l + 7*l - 2*l + (-5 + 4 + 3)*(3*l + 3*l - 4*l) - 2*l + 3 - 3 + (1 + 4 - 2)*(3 - 2*l - 3) + l - 2*l - l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 854 + -853. Is 739376\/(-3 - o)*1\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-40)\/50 - 14\/(-5)) + 1. Let r be 9 - (d + 1 - 5). Suppose 0 = 2*p - 4*j - 56, -j + 33 + 63 = 5*p. What is the highest common factor of r and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-6)\/(-9) + (-14)\/3. Let y be 24\/(-4)*r\/6. Suppose y*z - 930 = -334. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 - 12*c**2 - 2*c - 12. Let k = -1 - 11. Calculate the remainder when 34 is divided by q(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 434862582.\nAnswer: 2, 3, 7, 11, 193, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 6704013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1142310\/11310*((-3)\/2)\/(9\/(-6))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -31, -96, -217, -412, -699, -1096, -1621?\nAnswer: -2292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -60 by 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0, -38\/33, -9618?\nAnswer: -9618","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4739, 9447, 14155, 18863, 23571, 28279?\nAnswer: 32987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {v: 1, q: 2, y: 2, m: 2, u: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2367638 is divided by 2135.\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + 8*c - 3. Suppose 2*r - 7*r = 0. Suppose r = 3*d - 0*d - 21. What is the units digit of s(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5226 (base 7) to base 2\nAnswer: -11100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 4*z + 0*z = -11, -20 = -5*z. Let u be -1 + -4*1*g. Suppose l - 25 = -l - u*x, -4*l = -2*x - 74. What is the remainder when l is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*d - 6*d - 9. Let q be (8 + -6)\/(d\/102). Let r = -57 + q. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:26 PM and 2:11 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 AM and 12:15 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 15 + -9. Let h = 10 - 14. Let d = c + h. What is the smallest value in d, -2\/5, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -323, -358, -397, -440, -487?\nAnswer: -538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18*(-1)\/14)\/(-3).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o*(o**(-6)*o)\/o*o*o*(o**(3\/4)\/o*o)\/o*o)\/(o\/o**(-1\/3))**(22\/5))**(-2\/35) assuming o is positive.\nAnswer: o**(61\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -224 in 294, -27, -1, -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -4, 5\/6363, 0.1, -4\/25 in increasing order.\nAnswer: -4, -4\/25, 5\/6363, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) be the second derivative of o**4\/12 + o**3 - o**2\/2 + 11*o. Let b = 2 - 1. Let l(u) = -u. Give b*x(s) + 6*l(s).\nAnswer: s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -24574 divided by -3\nAnswer: 24574\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 2046\/12 - 6 - 2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -9*x - 281. Give d(-33).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 7 - 22806\/3354 - 4\/26\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x + 9. Let w be h(-11). Let g be (-10)\/15 + 15\/36. Which is the closest to w?  (a) g  (b) -2\/3  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -16  (b) -1\/7  (c) -190  (d) -1.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*z + 12*z = 18*z - 286. Let m = -2 - 2. Which is the third smallest value?  (a) 1\/2  (b) m  (c) 0.4  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20340 - -20392 - (-3 + (0 - -9) + -2)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -722 + 722. Is 7 + 693\/7 + 0 + q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the third derivative of -323*v**6\/120 - v**5\/20 - 7*v**3\/6 - 44*v**2 - 1. What is the third derivative of f(a) wrt a?\nAnswer: -1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 5*f**2 + 29*f - 9. Calculate r(-8).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 5 = q, 0 = 3*q - 21*n + 18*n + 6. Is q not equal to -1\/75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 4*f**5 + 20*f**4 - 8*f**3 - 40*f**2 + 4*f + 20 = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -795 - -1138. Does 12 divide 1\/(-3) - q\/(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (36 - 10 - 97)*(-5*p + 5*p + 2*p**3)*(0*p + 3*p - 7*p).\nAnswer: 568*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 18379891 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a - 2*a + 0*a)*(-2 + a + 2 + (a + a - 3*a)*(3 - 1 - 4)) + (1 - 7 + 4)*(560*a**2 + 7*a - 12*a - 570*a**2).\nAnswer: 14*a**2 + 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 3*j = -2, 5*y - 2*j + 1 = 3. Suppose 4*i + 5*x - 61 = 0, i + 34*x - 24 = 31*x. Suppose -i = -y*g - g. Solve -7*o + g*o = 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56492 divided by -1948?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 3*m**2 + 7835*m - 110295. Give x(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 105001 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 + 4*k. Let l be x(3). Let u = -3 + l. Let o be (u\/(3 + 0))\/1. Which is bigger: 2\/11 or o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20 and 15500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1129629797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3167902*b**2*o**2 + 803138*b + o**2 wrt b?\nAnswer: 6335804*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 153586\/(-13111)*(2 + -6 - ((2 - 2) + 3)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 - 5*n + 5. Let s be x(5). Solve 2*k + 5*l + 14 = -0, -2*l = s*k - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34691?\nAnswer: 113, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 17.14  (b) 0.5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -118263765+1.79\nAnswer: -118263763.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -529*x**2\/3 - 1398492*x - 2772844812.\nAnswer: -(23*x + 91206)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 4*h - 6*h = -30, 4*l + 5 = -3*h. What are the prime factors of ((-21)\/5)\/(1\/l)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48 + 20 = -w + 8*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -6*w + 1. Suppose 3*c + 6*c + 9 = 0. Let x(b) = -b**3 - b + 1. Let k(t) = c*z(t) + 3*x(t). Let o(f) = -4*f**3 + 4*f + 2. Calculate -3*k(v) + 2*o(v).\nAnswer: v**3 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Solve -38*r + 10 + 142 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 183420?\nAnswer: 2, 3, 5, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 5 in 1.4, 0.2, 0.5, 1?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 4*i**3 - 3*i**2 - i - 7. Let h(t) = -7067*t**3 + t**2 - 2*t + 31. Let b(g) = h(g) + r(g). What is the third derivative of b(u) wrt u?\nAnswer: -42378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -125*h = -130*h + 2175. What are the prime factors of h?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2708*i**2 - 359*i + 19. List the prime factors of z(-3).\nAnswer: 2, 6367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) be the second derivative of -1\/6*m**3 + 0 + 3\/2*m**2 + 3*m. Let h(t) be the first derivative of u(t). Let w(y) = -y - 5. Determine -5*h(d) + w(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w - 8*w = -35. Let z = -48 + w. Let g = -21 - z. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - c + 301, 2*c + 36 - 89 = n. Let h = 67 + n. Let q be (0 - 1)*(8 - 301 - h). Calculate the greatest common divisor of 23 and q.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + d5?\nAnswer: d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from neecp. Give prob of picking 1 n and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185 is divided by 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -68 or -2?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 59 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 10 + -1 + (17 - 14 - 14)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -101*-2.3.\nAnswer: 232.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -69.87 + 69.81. What is the third smallest value in -3, -1\/2, 3, u, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -44, -48, -52, -56, -60, -64?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1\/47 + 38\/423. Sort -5, 3, v in increasing order.\nAnswer: -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -3220*r**3 + 7*r**2 + r - 8. Let c be m(-8). Let u = c - 849072. Round u to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 209 minus -15921750743?\nAnswer: 15921750952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*x - 10 = 23*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: What is next in 9, 76, 255, 600, 1165?\nAnswer: 2004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 109*j = 141*j. Solve -7*m + 117 - 96 = j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 5986, 10975, 15964, 20953, 25942, 30931?\n\"Answer: 4989*b + 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 0 + 2\/3*f + 2\/3*f**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -9861, -17917, -24171, -28623, -31273?\n\"Answer: 901*r**2 - 10759*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.19 and 3596.2.\nAnswer: 683.278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -b**2 + 7*b + 7. Let p be r(8). Let m be ((p - -4) + 12)\/(2 + -1). Suppose -m*l - 42 = -18*l. Solve 3*h + 3*g - l = -5, h = g - 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3612.34303 + 0.64303. What is f rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 937 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -10 - (6 + (-10 - 11))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 6230, 12463, 18696, 24929, 31162?\n\"Answer: 6233*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 100*h - 2755542 = -802393 + 387051. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1\/3  (b) 0.03  (c) 1  (d) -6010\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*n**2 - 17165*n - n**3 - 23507*n - 10110*n.\nAnswer: -n**3 - 8*n**2 - 50782*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 minutes after 9:09 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**2 + 10*v - 2. Let y be u(-10). Let m = 277.4 + -277. Which is the second smallest value?  (a) y  (b) m  (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 - 6*h - 16. Let w be v(0). Let q be (4 - (-2 + 6)) + w. List the prime factors of ((-38)\/(-4) - -1)\/((-12)\/q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000017146 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 53 by 22135.\nAnswer: 53\/22135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5435 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**4 - 5*p**2 + 5*p**2 + (-10 + 10 - 9*p**2)*(-p**2 + 0*p**2 + 0*p**2))*(-p + 3 - 3).\nAnswer: -11*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 18*g**2 + 3*g - 5. Let b be r(5). Let f = -247 - 68. Let p = b + f. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1440 = -7*c + 5507. What is the remainder when c is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3131, 3144, 3171, 3212, 3267?\nAnswer: 3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 3*s - 31. Let o(r) = r**2 + 26*r + 46. Suppose 3*h + n = 2*n - 77, -2*n - 71 = 3*h. Let i be o(h). List the prime factors of z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2, -72, -258, -610, -1182?\nAnswer: -2028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s**4 + s**3 + 3*s**2 + 4 - 4*s**2 + 0*s**4 in the form q*s**3 + y*s**2 + n*s + v + a*s**4 and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 15 and 145.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.2  (b) 1  (c) 4  (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -36*((-9)\/(-24))\/((-18)\/12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -0.3  (b) -1\/66  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 14457*j = -14456*j - 7, -21 = -3*a + j for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 AM and 4:39 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001060729 rounded to 7 decimal places?\nAnswer: -0.0001061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 12 = -4*j, -4*j - 3*g + 2*g + 12 = 0. Let p be (48\/10)\/4*5. Suppose -4*b - 5*w + 4*w + 33 = 0, j*w = 3*b - p. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 9850  (b) -1\/141  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3199 + 3217.39. Let d = -18 + z. Let s = d - 0.3899938. What is s rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 4*m - 5. Let g be ((-93)\/124)\/(m*19\/32). Does g = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 56 - 53. Suppose 2*h - 5*v = 51, x*h + 4*v - 6 = h. Is h a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 133*r**3*u**3 + 2*r**3*u**2 + 1129*r**3 + 2*r**2*u**3 - 10280*r*u**2 - 2*u**3 - u wrt r?\nAnswer: 798*u**3 + 12*u**2 + 6774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 803 or 923?\nAnswer: 923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 86*o + 10 + 13 - 36.\nAnswer: 86*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.42 - 0.02. Let q be (-2)\/5 - 23\/105. Let n = q - -2\/7. Which is the third smallest value?  (a) n  (b) -0.2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, q: 8, o: 2, a: 2, g: 3}. What is prob of sequence oog?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.174 - 1.826. Let r be 39\/188 + (-3)\/12. Let b = r - -104\/235. What is the nearest to b in 0, y, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (12\/21)\/(3 + (-356)\/(-28)). What is the nearest to 0.2 in -0.4, 5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 300236.185 - -0.01.\nAnswer: 300236.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 889 a factor of 54875303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 62 + 12465?\nAnswer: 12560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 42*x - 51. Give l(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z**3 - 4*z**2 - 7*z - 2. Let d(u) = -u**2 + 6*u - 3. Let y be d(5). Let n be 10\/2*(y + -1). What is j(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2956 + 4?\nAnswer: 295a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 2*t - 135 - 79 = 0, -5*h + 4*t + 260 = 0. Let c be ((-4)\/(-8))\/(2\/h). Suppose 9*n + 11 = 137. Calculate the greatest common factor of n and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 39*c**3*n**4 + 3*c**3 + 22*c*n**4 + 360*c*n**2 wrt n.\nAnswer: 936*c**3*n + 528*c*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 (base 7) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-28)\/(-8) - 3\/2. What is the first derivative of s + 2 + 3 - 1 + 4*q wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.53 and 0.1?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, 11\/12, 2\/11, 5 in ascending order.\nAnswer: -4, -1, 2\/11, 11\/12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 5  (b) 1  (c) -3\/4  (d) 4\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.47 - 20.53. Let a = 21 + c. What is the third smallest value in a, 1\/8, -1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2066519 and 99281.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -836872729\/1818 - -460326. Calculate the common denominator of k and 69\/1010.\nAnswer: 9090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/5180 and 109\/339290.\nAnswer: 678580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -58, -61, -64?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*w + 20*w - 18 = 0. Solve 2 = -w*p + 17*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2707100 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/(-192)*30\/(-4)*(-84)\/105.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - -1. Let l = n - -15. Let f = l - 20.52. What is f rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 533841 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -564 + 1119 - 3320*p - 555 - 228*p as y + m*p and give m.\nAnswer: -3548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a - 2*i = 7*a - 70, -57*a - 4*i + 1231 = -31 for a.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-4))\/(1\/4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4\/35?  (a) 52  (b) -2897  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j - 110 = -2*o, 2*j - 7305*o = -7307*o + 82 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 7:18 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 379144182 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5151 = -14*l + 22135. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 2*z - 1)*(-734*z - 214*z - 348*z) - 2*z**2 - 2*z**2 - 3*z**2 to the form r*z**2 + c + i*z and give r.\nAnswer: 2585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 3\/209 or 6\/278459?\nAnswer: 3\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z**2 - 20*z + 61. What is u(-13)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -m**3 + 8*m**2 + 4*m - 8. Suppose -4*g - 78 = -2*d, 6*g + 3*d = 3*g - 45. Let k = g - -26. List the prime factors of z(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuuuuururuu. Give prob of sequence uurr.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 420 and 1407910?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -172 + 171. What is the fourth biggest value in -1\/3, o, -8, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -747*c + 121539 = 388*c + 95434 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -354 + 349. Sort 1, 38, -1, a in decreasing order.\nAnswer: 38, 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m + 1. Let r(k) = -2*k**3 - 1 + 4*k**3 - 3*k**3 - k. Suppose -4*u + 2 = 6. Let b(h) = u*r(h) - x(h). Find the second derivative of b(d) wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 36 - 51. Let a = -9 - n. Let h(t) = -t**3 + 9*t**2 - 16*t - 9. Let v be h(6). Solve a = -v*p - o, 4*p + o - 2*o = -15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4156048g to kilograms.\nAnswer: 0.0004156048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/48)\/1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 428393.\nAnswer: 7, 19, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -287283.324 rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p**3 + 13*p**2 + 8*p - 3. Let c be o(7). Solve 70*g = 5*x + 65*g + 15, 0 = c*x - g - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -75329.\nAnswer: 5\/75329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 18  (b) 17\/4  (c) 0.3  (d) -0.5  (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 795 a factor of 106062540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59558235 divided by -55.\nAnswer: -1082877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-18017)\/3704 - ((-72)\/(-6))\/(-4). Let f = 5\/463 - z. Calculate the common denominator of f and 43\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.7017mg to nanograms.\nAnswer: 29701700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3978 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/15 + 1 - 4\/(-6). Let o be (6\/2460)\/((-2)\/8). Which is greater: h or o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*r**4 - 26*r**2 + 23*r + 13*r**2 + 13*r**2 wrt r?\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**(-2\/7))\/l)\/l**(1\/7)*(l**(-2\/5)*l*l)**(-6\/17)*(l**1)**(-14\/9)*(l*(l\/(l\/(l**(-2\/7)*l*l)))\/l*l*l)\/l*l**7 assuming l is positive.\nAnswer: l**(38371\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -f**2 + f**2 - 2*f**2 + (0*f - 2*f + 4*f)*(-2*f - 2*f + 3*f) + (0*f - 2*f + 4*f)*(-f + f + 4*f) + 2*f**2 - 2*f**2 + f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 392, 393, 394, 395, 396, 397?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 637?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence urvr when four letters picked without replacement from {u: 2, h: 1, o: 4, v: 1, r: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 2*u - 70 + 91, 0 = -2*i - 4*u - 6. What is the least common multiple of ((-12)\/2)\/((-4)\/6) and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1086, -1082, -1088, -1110, -1154?\n\"Answer: -g**3 + g**2 + 8*g - 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13 and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 466 minutes before 2:51 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -3901 + 0*d**2 + 0*d**2 - 2*d**2 + 3899 - 3*d. Let r(i) = i**2 + 4*i + 3. Calculate -4*c(v) - 3*r(v).\nAnswer: 5*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of x**5\/180 + 5*x**4\/9 + 37*x**3\/6 + 1261*x**2. Factor g(y).\nAnswer: (y + 3)*(y + 37)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7777.2 - -7649.283. Let i = 128 + c. Let w = i + -61.083. Which is smaller: -1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 985013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 82.05851 nanograms in milligrams?\nAnswer: 0.00008205851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 6, h: 3, q: 1, c: 1, w: 4, r: 1}. What is prob of sequence qwfh?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/15*4585\/(-131)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 1 - 5, -5*m + 22 = -3*f. Suppose -m*o + 4 = 12, 5*l = -5*o - 50. Let j be l\/(-9) + (-15)\/(-18). Is 2 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*v**3 + 16*v**3 - 19*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -314.35 times -1018\nAnswer: 320008.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -5*r**2 + 9*r**2 + 6*r**2. Let s(z) = -2*z**2. What is s(j(y))?\nAnswer: -200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 825355, 1650713, 2476071?\nAnswer: 3301429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -125*g**2 - 80*g.\nAnswer: -5*g*(25*g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 214.227 rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 25\/6 + 1\/(-6). Suppose -3*f - c + 49 = 0. Does 9 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -31*x - 63. Let i be k(-2). Let u(f) = -11*f**2 - f - 1. Determine u(i).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2330?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.15 - 0.25. Let c be 1*(12\/7 + -2). Which is bigger: c or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -u + 16. Let w be b(4). What is the highest common divisor of w and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 38738*f - 1394556. Determine s(36).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + 46.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.042 + -8.558. Let t = o - -8. Let i = t + -2.4. Which is the second smallest value?  (a) 1\/3  (b) 0.1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of d**4\/12 + 2*d**3\/3 + 3*d**2\/2 - 64*d + 2. Determine t(5).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of -21*l**4 + 10*l**3 - 101. What is the third derivative of y(i) wrt i?\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 2 d when three letters picked without replacement from {n: 5, f: 1, j: 3, d: 7}?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*s**2 - 9*s - 4*s + s)*(-2*s**3 + 4*s**2 - 4*s**2 + (3*s**2 - 3 + 3)*(-s + 2*s - 3*s) + 5*s**3 - s**3 - 3*s**3).\nAnswer: 21*s**5 + 84*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -6. Let s(n) = 11*n + 10. Let f(u) = 1. Let h(y) = -5*f(y) + s(y). Let l(k) = 6*k + 3. Let v = 1345 + -1342. What is q*l(g) + v*h(g)?\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7.0042234 - -1.042551.\nAnswer: -5.9616724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - 3. Let u = z - -9.5. Which is the biggest value?  (a) 4\/5  (b) 0.1  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -51 + 113. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3959198 is divided by 1616.\nAnswer: 1614","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 131*v + 252*v + 448*v + 34 + 126 - 165 to the form p + j*v and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/5 + 7*(-20)\/(-700). What is the closest to -2\/27 in q, -2, 4, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -333 + 302 - (-12 + -1 + 1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*n - 5*n + 2*n**3 + 16*n - 2*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 96 - ((-74822340)\/(-4080))\/191\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -22*x - 20*x - 57*x + 114*x - 6741*x**2 - 13*x in the form g*x**2 + k + m*x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhyxgxyxyhhhlegglyyy. Give prob of sequence hgg.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 220*v - 330540 = 210*v. Let y = -147446 - v. Round y to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzii when four letters picked without replacement from {z: 2, x: 5, i: 3}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3*((-8)\/6 - 1). Let j = q + 11. Suppose 4*m - 10 = -j*l + 2*m, -3*l + 5*m = -27. Solve -10 = -l*u - u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a decade in months?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/(((h\/(h\/h**22)*h)\/h)\/h))*h**27)**(1\/6))**(-7) assuming h is positive.\nAnswer: h**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*p = -6, 5*p - 31 = -3*v - 3. Let s be 8\/(v*5\/(-31250)). Round s to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*2*sqrt(704))**2*5.\nAnswer: 56320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19.4 + 1.4. Let l = -2415 - -2397.4. Let k = l - c. What is the second smallest value in k, -3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 6*l - l - 30, -3*l + 10 = 5*f. Let r = 2\/1299 + 860\/3897. What is the closest to f in r, -2\/3, -0.12?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 194 + -194. Let u = -0.34 + 0.14. Let s = 42 - 45. What is the nearest to u in s, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15 times 1235.2552\nAnswer: -18528.828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1320353 is divided by 101493.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes before 10:00 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 31 - 37. Let f be (-1 - -6) + p + 4. Solve 4*w - f + 23 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 99750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - s + 8 = 0. Factor 0*n + 0 + 1\/2*n**4 + 1\/2*n**s - n**3.\nAnswer: n**2*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2289 by -4.\nAnswer: 2289\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 3*x + 40. Let d be (x\/(-24))\/((-1)\/(-6)). Solve d = -g + 4 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t = -11 + 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25.3 + 27. Let n = -344.9 - -343. Let i = d + n. What is the nearest to -1 in i, -3\/4, -5?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -347 = -r - 3*x, -2*x + 503 + 531 = 3*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.8 times 1?\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -o**4 + o**4 - o**4 + (-17*o - 7*o - 5*o)*(o**3 - 7*o**3 - 3*o**3).\nAnswer: 260*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -5606, -44919, -151622, -359411, -701982, -1213031, -1926254, -2875347?\n\"Answer: -5616*x**3 + x**2 - 4*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**2 - s**2 + s**2)*(-1 + 1 + s) + (-4*s + 5*s - 2*s)*(4 - 4 - s**2) + 2*s**3 + 13*s**3 - 5*s**3 - 19*s**3 - 20*s**3 + s**3.\nAnswer: -25*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 105 = 4*g + 115, 0 = 5*o - 3*g - 22 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4320 and 1584?\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 - 2)*(8*m - 3 + 3) - 6 + m + 6 to b + g*m and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 26 = 691*v - 692*v, -v - 6 = -10*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 6*y + 3. What are the prime factors of h(5)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3626 and 107226.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is (6 - 0)*215\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -60661*v**2 + 13*v + 11 + 61939*v**2 + 2 wrt v?\nAnswer: 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 55\/228 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2132)\/(-92) - 712\/4094.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11a70 (base 16) in base 10?\nAnswer: -72304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + h = 704. Suppose 4*f = -5*p + 184, -3*p = p - 4*f - h. Calculate the highest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 160 a factor of 6874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2.36399 - 0.1171\nAnswer: -2.48109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6 or 14040?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2 + 3\/4*d**3 - 9\/4*d + 27\/2.\nAnswer: 3*(d - 3)**2*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j + 11. Let y(g) = -3*g + 21. Suppose 2*z = z + 5. Let r(n) = z*l(n) - 2*y(n). What is the derivative of r(o) wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -18 - -23. What is the smallest value in f, 0.13, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -2*3\/6*-24.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 49145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**2 - 2*p - 1. Let n(h) = 78*h**2 + 7*h + 6. Let x(j) = 4*c(j) + n(j). What is the second derivative of x(l) wrt l?\nAnswer: 148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31421?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + c = 8. Calculate the least common multiple of (c - -5) + (0 - -3) and 6 - (0 + (1 - 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - q + 107 = 0, m + 24*q + 33 = 23*q. Sort 0, 2\/11, 2\/7, m in ascending order.\nAnswer: m, 0, 2\/11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k**2 + 2087*k + 36056. Calculate h(-17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that -20*y**5 - 77188*y**4 + 1675940*y**3 - 2530172*y**2 + 931440*y = 0.\nAnswer: -3881, 0, 3\/5, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 - (-1 + 6 + -3). Suppose 0*c + u*c - 6 = 0. Solve 3*s = -c*q, s = 3*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, p: 2, l: 2, m: 6, g: 5, y: 3}. Give prob of picking 1 g, 1 p, and 1 l.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of -w**6\/10 - w**5\/60 + w**4\/24 + w**3\/6 - 8*w**2. Suppose 3*a - 6*z - 2 = -z, 0 = -4*a + 3*z - 1. Calculate s(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6438480 divided by -80481?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-5 - 282966\/24)*(-12 - -8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 77012 is divided by 7700.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*k - 47*k + 180 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1558)\/(-10) - (-8)\/40. Suppose -6*v + s = 36. Suppose v = 4*q + 8. Solve -6*b + 3*b + q = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1101178.\nAnswer: 2, 13, 41, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 814 + -2?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 5\/((-1590)\/306) - (-47)\/(10 + 37)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/102 and 74\/459.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2, -1, -4, -7, -10, -13?\n\"Answer: -3*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -8747509961 and 0.2?\nAnswer: 8747509961.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 1*sqrt(19))**2*-5.\nAnswer: -220 + 50*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.1596308 to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 93462636 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5105120 is divided by 307?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*c + 15*c + 13*c**2 + c**4 - 101*c**2 + 69*c**6 + 8*c wrt c.\nAnswer: 8280*c**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 76 - -13d46?\nAnswer: 13dbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -4*u + 7. Let v(s) = -9*s + 15. Let m(t) = 4*v(t) - 10*z(t). Let i be m(4). Find the third derivative of -30*l**6 + 24*l**6 + 9*l**2 - 29*l**i wrt l.\nAnswer: -4200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(27\/(-105))*3. Suppose -2*d = -d - q. Suppose -2*c + 0*x + 32 = -2*x, 0 = 2*c - 5*x - d. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/(-10) + (-243)\/180. Put z, 0.5, -4\/3 in increasing order.\nAnswer: z, -4\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 442885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 + 3\/(3\/(-1)). Suppose -4*z + 9 = -c, 3*c - 5*c = -5*z + 6. Let x = c + m. Calculate the lowest common multiple of x and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -o**2 + 5*o - 4. Let t be g(4). Let q(d) = -49*d - 18*d + 77*d. Let r be q(t). Solve 3*i - 2*y = r, 2*i - 4*y = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**3 - 330*b**2 + 13408*b - 48480.\nAnswer: 2*(b - 101)*(b - 60)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h + 164 - 295 + 147)*(3*h + 2*h**2 - 3*h).\nAnswer: -4*h**3 + 32*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -3\/8, 1\/516, 39, 1\/44?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kwkkkwwwkwwww. What is prob of picking 3 k?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3653*t**2 + 9017*t + 67514*t**2 - 9017*t.\nAnswer: 63861*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 21690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 8*d**6\/3 + d**3 - 3. Find the third derivative of x(g) wrt g.\nAnswer: 960*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3200*j = 3370*j + 6120 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -43112317 divided by -136001\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2994 + 1906. Let y(m) = 3*m**2 + 19*m + 13. Let u be y(-6). Suppose 0*v - s = u*v. What is v rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*n**3 - 2*n**4 - n**4 + 13*n**4 + (0*n**4 + 0*n**4 - n**4)*(3 - 2 + 1) to c*n**3 + r + k*n**4 + i*n + z*n**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 312827311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108706 = 1537*d + 1401*d for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8264 is divided by 916?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4\/31, -7.9, 11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -2*l - 3*l - 3*l. Let s(f) be the first derivative of 0*f + 3\/2*f**2 + 19. Give g(s(i)).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 4*v = -4, 0 = 3*x - 0*v - 3*v + 15. Let y = x + 12. Let f(j) = 55*j + 62. Let n be f(-1). Which is bigger: y or n?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 1\/30 of a minute?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + (13 - 0 - 23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.2 and -16487.\nAnswer: -3297.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -243, -464, -675, -870, -1043?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3730 - -3730.4. Put z, -2, -3, 2\/1137 in decreasing order.\nAnswer: z, 2\/1137, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3849 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + -6*(-4 + (-1 + sqrt(539) + 2)**2*-2) + 5.\nAnswer: 168*sqrt(11) + 6511","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t**4\/3 + 343*t**3\/3 + 29240*t**2\/3 - 29584*t\/3 = 0. What is t?\nAnswer: -172, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -19*w**3 + 3*w**2 - 60*w + 7. What are the prime factors of d(-7)?\nAnswer: 7, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 3*n = -4*m - 1045, 1295 = -5*m + n. Let w = 260 + m. Sort -3, 8, w.\nAnswer: -3, w, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 7*t - 18 = 0. Let m(q) = -2*q**2 + q + 1. Give m(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 248 divide 58776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -240 divided by 20\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + 5*y - 3, -y = -4*u - 3*y + 6. Let n be u\/((-24)\/(-549)) + 12\/(-16). Suppose 0 = 4*k - 7*k + n. Solve -3*l = 2*l + k for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24208 and 226950.\nAnswer: 1815600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 + -2 - ((-100)\/15)\/1. Factor -u - 1\/3*c**2 + c.\nAnswer: -(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 46335 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (7721\/1470 - 7) + (-2)\/7 and 83\/21?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*y = 14*y + 17*y + 4*q - 36, 0 = -y + 3*q + 21 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 38026389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the first derivative of -m**6\/30 - 19*m**5\/180 + m**4\/3 + 7*m**3\/18 - 28*m**2 - 36. Let y(r) be the second derivative of o(r). Factor y(a).\nAnswer: -(a - 1)*(3*a + 7)*(4*a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(72) - sqrt(72) - (sqrt(24)\/sqrt(6) - sqrt(4))\/sqrt(2))**2 - ((sqrt(4050) + 3*sqrt(4050))*3)**2.\nAnswer: -583175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -76*p**2 + 39736*p + 404960 = 0.\nAnswer: -10, 10124\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 6 = -3. Let w = 11 + -18. Let l = w - -8. What is the second biggest value in p, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 + (-1 - -1) + -2 + -77 + 37 + 40?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q. Let b be s(3). Let y(t) = -3*t**2 - 5*t. Let x(n) = 4*n**2 + 6*n - 1. Let a(d) = -2*x(d) - 3*y(d). Let w be a(b). Solve -15 = -r - w*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) be the third derivative of b**8\/1008 - b**7\/315 + b**6\/360 - 8*b**2. Factor n(p).\nAnswer: p**3*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2590 and 25?\nAnswer: 12950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 52*m**3 + 0*m - 160*m**2 - 37\/8*m**4 + 0 + 1\/8*m**5.\nAnswer: m**2*(m - 16)**2*(m - 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from lnlxmmmnhnhlnnnmmnxl.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6*-3*(-7 - 2). What is the third derivative of -764*x - p*x**2 + 764*x - 214*x**5 wrt x?\nAnswer: -12840*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*s**2 + 7*s**2 + 5*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -21a4 (base 11) in base 2?\nAnswer: -101101010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -217 + 226. Let t(w) = 3*w**3 - 5*w**2 - 5*w. Let p(y) = 6*y**3 - 9*y**2 - 9*y. Give h*t(x) - 5*p(x).\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*b + 6*b - 2184 = 0. Let v be (-126)\/b*(-56)\/(-6). Is -12 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2 + z**2 - 4*z + 3*z + 1. Suppose 0 = v - 5*f + 10 + 14, 0 = -v - f + 6. Let r(w) = -w**2 + 3. Determine v*r(n) + 2*l(n).\nAnswer: n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.8 times -0.04?\nAnswer: -0.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, v: 2, f: 6, r: 2}. What is prob of sequence vvr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/8 of a milligram in micrograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -58 + 180. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -207*v + 223*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-5*(-2 + sqrt(171) + 1) - (sqrt(171)*1 + 5 - (sqrt(171) - (-1 + -1 + sqrt(171)))**2)))*-5.\nAnswer: -25 + 90*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*y**3 + 5*y**4 + 7*y**3 - y**2 - 3*y**3 wrt y.\nAnswer: 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 25214595 divided by 21\nAnswer: 1200695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2344 (base 10) in base 6?\nAnswer: 14504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*o**2 + o**2 - 4*o**2 + 7*o**6 + 3*o**2 wrt o.\nAnswer: 840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 6 = -0*r. Suppose b = -r + 4. Is 1\/2 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.05 - 4.05. Let l = -6 - x. Let t = 1 + l. What is the third smallest value in t, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = -2*x + 2*x - 4*x + x**3 + 6*x**2 - 9. Suppose j - 16 = 3*o, -14 = o + 2*j + 2*j. Is c(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 9 = -4*u, 2*u + 152*r = 148*r + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 314?  (a) 0  (b) 0.2  (c) 0.4  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -9, 30, 0.4, 264.\nAnswer: -9, 0.4, 4, 30, 264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y - 3*y**2 - 10*y**2 + 2*y.\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 32354, 32355, 32356, 32357?\n\"Answer: z + 32353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -91, -455, -1075, -1951, -3083, -4471, -6115?\n\"Answer: -128*k**2 + 20*k + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 33 + 39?\nAnswer: 6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/6, -0.051, 2\/5 in ascending order.\nAnswer: -0.051, 1\/6, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 + -13. Suppose 2 = 2*l - h. Suppose z + 307 = l*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 363497?\nAnswer: 363497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the second derivative of -203*y**4\/12 + y**3\/2 + 8*y**2 + 3*y. Let q be m(-8). Round q to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -66825 divided by 165\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2822 - 1414. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5566*q - 16 = -5574*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 7 - 8*t + 0 - 2*t + 0 + (2 - 1 + 0)*(t - 2*t - t) - 4*t + 6*t - 4*t + 0*t - 2*t + 0*t + 3*t + 2 - 2)*(-t**2 + 0*t**2 + 4*t**2).\nAnswer: -39*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -4*u + 1 - u**2 + 2*u**2 + 0*u**2. Give t(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4879083 divided by -3\nAnswer: 1626361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -220111122011 + 20221?\nAnswer: -220111101020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 2869 times 0.5\nAnswer: 1434.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3024) - (sqrt(3024) + (sqrt(3024) - 2*sqrt(3024) - sqrt(3024)) - sqrt(3024)))\/(sqrt(243)*-1) + (-4*(2 + sqrt(28) + -2*sqrt(7)*1))**2 + 2.\nAnswer: -4*sqrt(7) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2497 - -1405. What is the units digit of g\/(-15) + (-1)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -62\/327561 and 25\/97383?\nAnswer: 3603171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/((m\/m**(2\/31)*m*m)\/m*m)*m)\/(m*(m\/(m**(-17)*m)*m)\/m*m) assuming m is positive.\nAnswer: m**(-618\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 18113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25 - 31\/2. Find the common denominator of o and (-7 - 188\/(-27))*(-510)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3896862943.\nAnswer: 2053, 1898131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + g - 2*g = 0, -k - 14 = 4*g. Solve -5*a - 4*c = 25, k*a - 3*c = 15 - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 278, 244, 190, 116, 22, -92, -226?\nAnswer: -380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 936 and 146484.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sas when three letters picked without replacement from {i: 7, s: 6, a: 6}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2094 and 10209297?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, 1\/7, 4, -2\/43?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 749, 1492, 2235?\n\"Answer: 743*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 32\/5 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 133\/551448 and -20\/63.\nAnswer: 3860136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 4\/21  (b) -6\/7  (c) 2\/7  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 118889 + -19616758\/165. Calculate the common denominator of -6\/11 and r.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-10)\/((-13)\/78 + (-1)\/2). Let b(y) = -y**2 + 95*y - 5 + s - 88*y. Let o be b(8). Sort 11, 5, o, 0 in increasing order.\nAnswer: 0, o, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26576513?\nAnswer: 773, 34381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the second derivative of -n**7\/840 + n**6\/360 - 5*n**4\/12 + 6*n. Let r(m) be the third derivative of p(m). Find the second derivative of r(j) wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) be the first derivative of d**3\/3 - 5*d**2 + 27*d + 24. Let b be f(9). Calculate the highest common divisor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.16 and 2879?\nAnswer: 2878.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((sqrt(1573) - sqrt(1573)*2*2) + sqrt(1573) - sqrt(1573))*6)**2 + (sqrt(208) + 0 + -1 + 2)**2 + -1.\nAnswer: -1576*sqrt(13) + 509876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y and 1 s when four letters picked without replacement from {s: 9, y: 9}.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - 10.15. Let p = -0.1499936 - b. Round p to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -421+4512928.0099\nAnswer: 4512507.0099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-140)\/(-588)*(-7)\/6*8\/(-5).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5 - 5 - 4*w)*(0 + 0 + 2*w) - w**2 + 0*w**2 - 2*w**2 in the form r*w**2 + c + y*w and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3963539 is divided by 425.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2065*b + 67*b**3 - 2065*b.\nAnswer: 67*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1467331 is divided by 87?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-2\/7)*w)**11\/((w\/(w**(-1)\/w))\/w)**41*w**3*w*(w*w**(-6\/7)\/w)\/w*(w*(w**(-2\/5)*w)\/w)\/w**(-6) assuming w is positive.\nAnswer: w**(-272\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 567 + 3753. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 55059, 55200, 55343, 55488?\nAnswer: 55635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 2*s**2 + s - 15. Determine g(-8).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 1 + (-7 - -5) + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(209) - -1*sqrt(209))*2)\/(sqrt(220)\/(sqrt(5)*-1)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18872 or 18975?\nAnswer: 18872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 47437 and 203073?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the first derivative of -55*j**4\/4 - 49*j**2\/2 - 66. What is the second derivative of z(p) wrt p?\nAnswer: -330*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.6371 - -0.0911. Let z = -5.646 - s. Which is bigger: -2 or z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -27645, -110553, -248735, -442191, -690921, -994925?\n\"Answer: -27637*s**2 + 3*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18 - 19) + (-6 + 2 - 17).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-156)\/42 + 4)\/(2\/(-4)). Which is the fourth smallest value?  (a) j  (b) 2\/9  (c) -5  (d) 2\/151  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -384*l - 405*l - 308*l + 1003*l.\nAnswer: -94*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*m - 2*m - m)*(m**2 - 3*m**2 + 0*m**2) + 3313*m - 3313*m - 12*m**3.\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 + d + 5. Let g be f(0). Let m(i) = g*i - i**3 + i - 5*i - 1. Let k(p) = -3*p**3 + 4*p - 4. Let t(y) = -k(y) + 4*m(y). Solve t(l) = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 18, -4\/3, 1, 3, -130?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1986397387 divided by 1.\nAnswer: -1986397387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 9 + -6 + 50*1. Let i = -45 + a. Let k(f) = -f + 12. Let r be k(0). What is the greatest common factor of i and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2001 (base 5) in base 9?\nAnswer: -308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in 5, -5, -1, 9\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2978723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*q + 158*q = -70*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -1, 94, -277.\nAnswer: -277, -1, 14, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -2.3. Let g = 1.7 - i. Which is the third biggest value?  (a) -3  (b) g  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**(-3\/4)*a*a)\/a)\/(a*a*a\/((a*a**(-8)\/a)\/a*a))*a\/a**(-2\/7)*a\/a**(1\/2))**(-5\/8) assuming a is positive.\nAnswer: a**(1255\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Add -101 and 5639880.\nAnswer: 5639779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -4*v - 19, 27*k - 24*k + 27*v + 2 = -10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do -1\/222938 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-316)\/(-6)*33\/(-22) + (-16)\/2).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -174 + 67. Let s = 103 + l. Let a be (-7)\/s + (-2)\/(-8). Solve 0 = z - a + 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-9072)\/(-1620))\/((-5)\/25).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-15)\/(-9)*(-81)\/(-315). What is the third smallest value in 4\/3, 0.3, h?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -2*p**2 - 52. Let v(x) = 55*x + 10. Calculate v(i(w)).\nAnswer: -110*w**2 - 2850","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2*y. Let l(w) = 14*w. Let i(c) = 2*c + 22. Let q be i(-7). Let j(s) = -3*s - 339 + q*s + 339. Let p(u) = 8*j(u) - 3*l(u). Give p(x(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 377100 and 314250?\nAnswer: 1885500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 0\/((-4)\/(-2 - 2)). Calculate the remainder when 15 is divided by o + (15\/3 - 1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 944625 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -34011859 - -34011785.6691087. Let f = -140.3308944 - a. Let h = f + 67. Round h to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*m**2 + 6*m**2 - 8*m**2 - 5*m + (1 - 5 + 2)*(6*m**2 - 3*m**2 - 2*m**2).\nAnswer: -8*m**2 - 5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 44002 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 + -15. Let x be (-1 + d)\/(9\/6). Solve 2*c = -3*v - 5, 4*c + 19 = -5*v + x*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.03 - -2.03. Let k = -2.2 + u. Let f = k + -0.8. What is the nearest to 0 in -4, f, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 96 = -3*v, t - v = -0*v + 17. Suppose 0 = -5*x + 2*x + 2*w + 188, -5*x + 5*w + 315 = 0. Calculate the remainder when x is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3231208 (base 9) to base 4\nAnswer: 12213012023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0, 0.3, 18.9, 1.\nAnswer: 0, 0.3, 1, 4, 18.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 136825 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -3*n + 37, -2*s + 6*s + 47 = 5*n. Calculate the remainder when 21 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 117963, 235865, 353773, 471687, 589607, 707533, 825465?\nAnswer: 943403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.2 + -6.6. What is the closest to 0.1 in 2\/29, 0.2, a?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*a**2 + 19*a**5 - 4*a**4 + 4*a**4 - 9*a**2 wrt a.\nAnswer: 1140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2\/5, 39\/74 in increasing order.\nAnswer: -2\/5, 39\/74, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 3*a = -12, -8 = -4*o - 306*a + 304*a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 3*s = -3*q + 15, -s - 16 = -5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -23*k - 145. Let t be r(-6). Let o = 0 + -0.5. Which is the second biggest value?  (a) -4  (b) t  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(208) + sqrt(208) + 1 + 0 - (5 + (sqrt(208) - (sqrt(208) + -5)))).\nAnswer: -12 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-32)\/24)\/(2\/(-3)). Suppose -g*p + 0*c + 13 = c, 2*p - 9 = 3*c. Suppose p*n = n. Solve n = -5*i + 2*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10211211021 (base 3) in base 6?\nAnswer: -1342224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 1278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 91245606 to the power of 1\/2, to the nearest integer?\nAnswer: 9552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -7 + -5 + (-1 - -7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) be the third derivative of -l**4\/3 - 14*l**3 + 28*l**2. Let y be z(-12). Solve -7*h - 15 = -y*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 539 is divided by 250.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2132212202 + 0?\nAnswer: 2132212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(833) + sqrt(833)*3*5 + 1*(2 + sqrt(833)))**2 + -5*(-5 + sqrt(833) + -4) + -1.\nAnswer: 441*sqrt(17) + 240785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 49217868 and 1386?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p + 76. Let m(z) = -4*z - 44. Let s be m(-11). Let c be i(s). Calculate the greatest common divisor of c and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 times -324776258\nAnswer: -649552516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -40 + -20. Let k = o - -9. Let d = -19 + k. What is d rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 2*r = 4*z - 820, 0 = -5*r - z + 2086. List the prime factors of r.\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = 30*h. Let m(a) = -9*a + 0 + 7*a + 0. Determine m(u(v)).\nAnswer: -60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 2*s - 131, -4*r - 3*s - 411 = -r. Let f = r + 306. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-68 - -4) + (-166 - -187)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 71444, 71439, 71432, 71423, 71412?\n\"Answer: -z**2 - 2*z + 71447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 145 is divided by 46.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (56\/840)\/(2\/5)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 42037.9612 * 3\nAnswer: 126113.8836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -12 - -13. Suppose -2*q + 8 = -0*q. Calculate the lowest common multiple of 1 and (i + 1\/(-2))*q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2367733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177*x - 185*x = 0. Suppose o - 5 = x, 15*q - 13*q = -o + 15. Suppose -3*j - 2*r = 2*r + 10, -4*r = 4*j + 8. Put q, 44, j in descending order.\nAnswer: 44, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a\/(a*a**(1\/6)*a))*a)\/a**2)\/(a**(-1)*a**28) assuming a is positive.\nAnswer: a**(-155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 w when two letters picked without replacement from {v: 4, i: 1, u: 2, w: 1, t: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2\/3 + 404*g - 2420\/3.\nAnswer: -(g - 1210)*(g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from suphhsuhonhu. Give prob of sequence pu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 4*m + 3*c + 9, 0 = -4*m + 2*c - 22. Let y be -4 - m - (0 + -33). What is the highest common divisor of 14 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*a - a + 0 + 5*a + 1 in the form w*a + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -110.9258 to one dp.\nAnswer: -110.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 286157528 equal to 286157527?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 4 - 35 = 3*b, -z + 5 = 0. Let w = -2 - b. Solve -5*f = w*j + 20 - 0, -2*f - j - 4 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21631267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2 + l - 1. Suppose -3*v = -0*v - 3. Let o(d) = 3*d**2. Suppose 56*z - 46*z = 10. Determine v*w(s) + z*o(s).\nAnswer: 2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 29*b - 18. What is x(3)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - -3 - ((-62)\/(-14) + -3). Which is the second biggest value?  (a) v  (b) -1  (c) -3  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 PM and 7:21 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -10. Let z be -1*(0 + -1 + h). Is z smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v = d + 41, 5*v = -0 - 10. Let z = 53 + d. Differentiate 1899 - 1929 - j + j + z*j**3 with respect to j.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3504 (base 8) to base 5.\nAnswer: 24420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 3*v - k, 2*k + 5 = v - 3. Suppose 3*p = 2*g - 7*g + 40, -p - 3*g = -v. Calculate the least common multiple of 18 and p.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*b = 14*b + 8. Let f(g) be the first derivative of -g**4\/4 + 16*g**3\/3 - 17*g**2\/2 + 32*g + 15. What is the least common multiple of f(15) and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3055 - 4.2?\nAnswer: -3059.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 + 0 - 7) + -172 + (315 - 132).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 9:44 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-50)\/126 + 2\/7. Let i = -0.7537 + -0.1113. Let q = -3.865 - i. Sort q, 1\/2, c.\nAnswer: q, c, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2 and 1231.43187.\nAnswer: 1231.63187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.117 - -2.44.\nAnswer: 2.557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 4*g + 3*c, -514 + 509 = c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8953, -17632, -26329, -35044?\nAnswer: -43777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3000 is divided by 138?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.9 + 0.7. Let t = -10 + 9.68. Let v = t + -0.18. Put v, -3, i in descending order.\nAnswer: i, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -11*z + 7*z. What is the remainder when z is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5008.712 - 4987. Let q = -0.012 + o. What is q rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in ten thirds of a week?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - -3*(280\/15)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 9*s. Let p(u) = 2*u - 2. Let t(m) = m - 3. Suppose 0 = 8*c - 54 + 70. Let j(b) = c*t(b) + 3*p(b). Calculate l(j(w)).\nAnswer: 36*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 2*y**2 + 11*y - 8. Suppose 8*l + 54 + 2 = 0. Let v be r(l). Let i(u) = -u**3 + 13*u**2 + 3*u - 24. List the prime factors of i(v).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69.25881 years to centuries.\nAnswer: 0.6925881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -n**2 - 9*n - 13. Give b(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v + 2*v + 2*v**2)*(1208 - 606 - 602 - 620*v - 21875*v + 4111*v).\nAnswer: -36768*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1829224921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Is 8051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -422305244 (base 6) to base 15.\nAnswer: -9b16c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 - f**2 - 4*f + 1. Let o be v(-3). Let w = -16 + o. Solve 3*n = -6 + w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - y - 128 = 0, -2*t + 6*t - 175 = -3*y. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 23792251 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 81 + -325\/4. What is the closest to 2\/9 in -3, 3, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*d - d + 11*d**4 - 9*d**4 + 4*d**3 + 2*d to n*d**4 + t*d**3 + z*d**2 + h + w*d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/14 + (-192)\/(-84). Let u(s) = -s**3 - 2*s**2 - 6*s - 1 - s**2 - m + 2*s. What is u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**3 - 2*b**2 + 1. Let p be (-5)\/(-10)*(-2 + 4). What is r(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lkxexao. What is prob of sequence kl?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 7481b (base 12) to base 4\nAnswer: 211122113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 + 3*a. What are the prime factors of m(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 53.01828 weeks to days.\nAnswer: 371.12796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 396376 is divided by 3491.\nAnswer: 1893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tthtughxt. What is prob of picking 1 x, 2 t, and 1 h?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*c - 364 = 5*r - 9*r, -4*r - 4*c = -372. Solve 12*k = 22 - r for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 at least 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 229310361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*v = 17*v + 18, 3*v = -2*r + 111400. List the prime factors of r.\nAnswer: 17, 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of -13*s**8\/6720 - 53*s**5\/60 + 39*s**2. Let y(j) be the third derivative of c(j). Let x(m) = 2*m**2. What is y(x(t))?\nAnswer: -156*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.9 - 3. Round j to zero dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*g*n**2 + g*n + 6*g + 38*n**2 + 3*n wrt n.\nAnswer: 10*g + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -88*o + 6*o - 35 + 74 - 19 + 8*o**2.\nAnswer: 2*(o - 10)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -104, -103, -102, -101, -100?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (554\/(-340) + (-882)\/(-70) + -11)*2.\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3*q + 9. Let u be b(4). Let a(g) = -g**3 - 3*g**2 - 3*g. Is a(u) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1157824 divided by 7328\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0  (b) -1820  (c) 5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (8 - 8\/4) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/24792930 and -67\/132760?\nAnswer: 99171720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 41 + 2 + -30?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 - 5*w - 4. Let f be y(6). Let p be f*(2 - (-11)\/2). What is the highest common factor of 135 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 89034, 178046, 267010, 355902, 444698, 533374, 621906, 710270?\nAnswer: 798442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5874)\/(-165) - 23) + ((-7)\/(-5) - 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -111010101011100111 (base 2) to base 12\nAnswer: -b711b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 - 2 - 9*u + 5*u**2 + 4 + 10 - 3*u**3 - 1 to the form h + g*u + a*u**3 + x*u**2 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -26126, 2, 3, -4, -3.\nAnswer: -26126, -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_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: Solve -24 = 4*a, -2*b + 382 = 5*a + 414 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -16018, -15992, -15950, -15892, -15818, -15728, -15622?\n\"Answer: 8*d**2 + 2*d - 16028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(-4 + -1 + (sqrt(504)*-5)\/(sqrt(128)\/sqrt(4))*-1))**2.\nAnswer: -1875*sqrt(7) + 41875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 - 57*c - 121. Calculate the remainder when x(-50) is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-3 + 6\/(-12)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8 - -16) + -15 - -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 771094, 1542180, 2313266, 3084352?\nAnswer: 3855438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 239733493428.999999189 + -239733494242. Let z = -813 - s. Round z to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19672589*l**3 - 34577320*l**2.\nAnswer: 118035534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve l = -25 + 28 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-5)\/(-1) - (-1 - -4). Solve 6 - o = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 632 - 245. What is the remainder when s is divided by 188?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6973533 millennia in centuries?\nAnswer: 6.973533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -78383771*h - 58500210?\nAnswer: -78383771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 73 - 32*l**2 + 5*l**2 - 104*l**2 + 17*l**2 + 6 as n*l + t + c*l**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 - -17. Suppose -5*z = 2*g - 78, 3*z + 8*g = k*g + 62. Let r be 4\/8*z*1. What is the highest common factor of r and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s - 4 + 7. Suppose -5*d - s = -113. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2785996238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 + (-160)\/(-12) - (-4)\/(-1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -3*s**2 - 12*s + 5. Let u be p(-3). Suppose u = h + 10. Calculate the greatest common divisor of 12 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1824\/64)\/57*(-10)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -125*c**2 - 11*c - 16. Let w be g(-2). Let n = -167 - w. What are the prime factors of n?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 8*y + 10. Let d be n(7). Round d to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 342956 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 smaller than 1\/860155233?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -24100688 divided by -7268?\nAnswer: 3316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3010725 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is (1\/(-1))\/((-15)\/4905) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -32, -45, -64, -95, -144, -217, -320?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 124067596 to the power of 1\/2, to the nearest integer?\nAnswer: 11139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 98, -3 in ascending order.\nAnswer: -3, 9, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 7*p - 17. Let y(s) = 4*s - 8. Let u(r) = -6*t(r) + 11*y(r). Let o(v) = -1. Determine 3*o(j) + u(j).\nAnswer: 2*j + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.6646528 to two dps.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = p - 5. Let v be l(7). Does 19 divide (-6 + v)*(-38)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 12335436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 2*v + v. Suppose 4*m - 117 = v. What are the prime factors of m?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/217328 and 109\/393040.\nAnswer: 18472880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22586 and 74632.\nAnswer: 982","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3220766959 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: Suppose 25375808 = 47*n + 10*n - 13857292. Round n to the nearest ten thousand.\nAnswer: 690000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126393451 a multiple of 452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-3)\/(-15)*(-10)\/(-6).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*(-38)\/8*-4. Suppose -2*t + x = 3. Suppose 0 = -0*r + 4*r - t. Solve -r*k - 15 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 158 + 796. Let x = 1523 - v. List the prime factors of x.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -4*l + 41. Calculate the lowest common multiple of t(8) and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111 + -10101110100010010011?\nAnswer: -10101110100010001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-55)\/(-20) - 2)*(-200)\/(-1) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 493897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0*((-4)\/(-6))\/((-44)\/33)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 458157.\nAnswer: 3, 7, 21817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5b + -2c14d?\nAnswer: -2c1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 274149 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -7 + 40*(-4)\/(-10). Solve -r = 20*f - 29*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*o + o - 8*o + 2*o + 6*o**3 + 1 to the form c + k*o**3 + g*o**2 + u*o and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 28 + (-25 - (-12 + 3)) + 9?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -1 - (2\/(-17) + (-1248)\/(-204) + -12). Sort -1, 3, t, -5, 20 in increasing order.\nAnswer: -5, -1, 3, t, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 2*u + 7 + 9, u = -b + 6. Let l(q) = -28*q + 57*q - 28*q + u. Give l(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*v + 10*v = -348. Sort 6, 3, v in ascending order.\nAnswer: v, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37*q = 64 - 323 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 s when two letters picked without replacement from wssgssmssggs.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1708, 8187, 19422, 35419, 56184, 81723, 112042?\nAnswer: 147147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -45123 divided by 35\nAnswer: -45123\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) 1\/7  (b) 9  (c) -3\/5  (d) -2\/5  (e) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1026, -2052, -3078, -4104?\nAnswer: -5130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -4260.2495 to the nearest 100.\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(19) + (sqrt(19) - sqrt(38)\/sqrt(2)*-3) + 2)**2.\nAnswer: 70*sqrt(19) + 524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o*o\/(o**5*o))\/o)\/(o\/((o*o**(-6\/7)*o)\/o)))**49)**(9\/10) assuming o is positive.\nAnswer: o**(-2583\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -2*r**3\/19 - 8*r**2\/19 + 50*r\/19 + 56\/19 = 0.\nAnswer: -7, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {a: 1, i: 2, d: 1, e: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*p + 10*p - 4*b = b - 63, -b = 7*p + 202 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 i, and 2 x when four letters picked without replacement from {y: 2, i: 4, x: 3, r: 2, j: 1, h: 2}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 167 is divided by 77?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*d**4 - d**5 - 2*d**4 + (-6*d**3 - 10*d**3 + 4*d**3)*(13*d**2 - 10*d**2 - 7*d**2) - 3*d**5 + d**5 - 3*d**5.\nAnswer: 42*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23272.\nAnswer: 2, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0\/4*(2 + (-15)\/6). Sort 5, n, 19 in decreasing order.\nAnswer: 19, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 10) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*v + 5*s = -9709 + 9786, 4*s - 11 = -4*v + 3*v + 5 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -635199.293 to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of u**4\/2 - 7*u**3\/3 + u**2 - 9*u + 8. Let o be h(5). What is o rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 l when four letters picked without replacement from {m: 9, l: 7}?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -133 + 2*h + 132 + 1951 - h. Let n be l(0). What is n rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 57974, 115945, 173916, 231887?\n\"Answer: 57971*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -7*i**3 + 6*i**2 - 5*i + 2. Suppose 52 = 9*y - 2. Let u(d) = -13*d**2 - 3 + 15*d**3 - 1 + 28*d - 18*d. Determine y*u(h) + 13*m(h).\nAnswer: -h**3 - 5*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 + -13. Let j = -3487.521007 - -3472.521. Let d = a - j. What is d rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k**4 - 2*k**4 + k**4)*(-3 - 2*k + 3).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -13860689, -27721403, -41582117, -55442831?\n\"Answer: -13860714*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + y. Suppose 10 = -y*o + o + 4*g, 4*g = 5*o - 50. Suppose t + 4*t = -o. Do t and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10028?\nAnswer: 2, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 114, 217, 320, 423, 526?\n\"Answer: 103*z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -44*d**2 + 38 - 25 + 17*d - 17*d - 6. Let s(f) = 29*f**2 - 5. Give 5*m(b) + 7*s(b).\nAnswer: -17*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**5 + 3*k**5 + 0*k**5 + (-2*k**4 + k**4 + 5*k**4)*(0 + 0 - 2*k).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.04768 + 0.048. What is v rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 9:07 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2 - 2)*(2*t**2 - t**3 + 11*t - 11*t) as b + l*t**2 + y*t**3 + u*t and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -87\/8 and -38\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1789 is divided by 1573?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17342 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2808?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -314.02 times -0.4\nAnswer: 125.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 84 and 1164?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that 53*g**3 - 39*g**2 - 332*g - 84 = 0.\nAnswer: -2, -14\/53, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, -2, -5, -18614789.\nAnswer: -18614789, -5, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -356*l**2 - 10*l - 8. Let f be h(-9). Let s = f - -51154. Suppose 4*n - 44800 = -p, 2*n - p + 0*p = s. What is n rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 130 - 128. Suppose f*t + 4*j = 340, 0 = t - 11*j + 14*j - 170. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 5*m = -50, -m = -2 - 3. Let c(p) = -6*p**3 - 7*p**2 - 7*p + 3. Let z(h) = -4*h**3 - 5*h**2 - 5*h + 2. Determine q*c(n) - 7*z(n).\nAnswer: -2*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 63159 and 30747?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is -48\/17 at most -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 26?  (a) 92  (b) 0.04  (c) 0  (d) -1\/3  (e) -4  (f) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 67 - 49. Suppose -15*a = -o*a + 11220000. Round a to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78893 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 99831 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25544501 is divided by 409.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -7*4\/6*-3. Let m(q) = -20*q - 6. Let o(x) = -133*x - 1 + 126*x + 1 - 2. What is h*o(n) - 5*m(n)?\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8284 + -158.2805.\nAnswer: 8125.7195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 38*r**3 - 944*r**2 + 944*r**2.\nAnswer: 38*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 26 - 15. Let b = 11.0054 - y. What is b rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 19*a**3 + 51*a**3 - 7*a + 5*a - 156 + 112*a**3 wrt a.\nAnswer: 1092*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -486075974 and 66.728.\nAnswer: -486075907.272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q**(-3\/7))\/q**4)\/((q\/(q\/q**(-1\/9)))\/q*q**6) assuming q is positive.\nAnswer: q**(-524\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + 2 - 2. Let u = 43\/23 + 119\/207. Calculate the common denominator of -3*(h - 45\/33) and u.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 10, w: 2}. What is prob of picking 2 x and 2 w?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 15219891 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 33 and 4854?\nAnswer: 53394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + sqrt(117)*-2)*6 - (3 + sqrt(117) + (sqrt(104) + (1*sqrt(104) - sqrt(104) - sqrt(104)) + sqrt(104) - sqrt(104))\/sqrt(8))**2.\nAnswer: -36*sqrt(13) - 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -5*n**4\/3 + 575*n**3\/3 - 1770*n**2 - 237600*n - 466560 = 0.\nAnswer: -27, -2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -13 - (0 + 2 + -1). Let k be (10\/25)\/(1\/(-10)). Let t = k - g. Calculate the remainder when 19 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5\/2, 4, -21, -0.03?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a millimeter in micrometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 4:17 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = 10*c + 60. Let s be 9\/((-225)\/c)*-850000. What is s rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 7, c: 4}. Give prob of sequence dcdd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 3*t**2 - 39751458*t + 131681534427147 = 0.\nAnswer: 6625243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -10*g + 14*g. Suppose -g*a + 0*a + 10 = 0. Is a bigger than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 364\/(-80) - ((-24485)\/236)\/(-83).\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2306?\nAnswer: 2, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6109 rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -317 (base 9) to base 2.\nAnswer: -100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -5 + (3 - 2\/2). Let z(p) = 2*p**2 + 3*p - 1. Let c be z(y). Suppose -2*s = -t + 6*t + c, 2*s - 28 = 4*t. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 346060 + 623?\nAnswer: 350013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d**2. Let b(g) = -137364*g. Give o(b(a)).\nAnswer: -37737736992*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 115*q - 12. Let c be x(1). Let y = -58 + c. What is the greatest common divisor of 18 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -4*t + 6*t - 3*t + 7*t**2 + 2 + 4*t**2. List the prime factors of h(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1171\/143 or 8?\nAnswer: 1171\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3680314501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 87 - 97. Let w = 18\/23 - 765\/184. Calculate the common denominator of ((-20)\/120 - (-50)\/3)\/g and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 19225971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.3 and -2.9?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = 17*z + 79 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.042  (b) 14  (c) 10\/3  (d) 1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - h + 3)*(-2*h**2 + 0*h**2 - 4*h**2) + (25 + 2 - 5)*(-h**3 - 3*h**3 + 5*h**3) to the form z*h**2 + g*h + i*h**3 + a and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -b**3 - 7*b**2 + 8*b + 8. Let o be g(-8). Let w be (-3 - 21\/(-12))*o. Is (8\/w)\/(4\/(-110)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -0.1, 4, 5\/6, 0, 10, -12 in increasing order.\nAnswer: -12, -0.1, 0, 5\/6, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 6925182653386 and -0.042.\nAnswer: 6925182653385.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-3)\/(-60)*(-2)\/(-3). Let z(a) be the third derivative of -1\/315*a**7 + f*a**5 - 4\/9*a**3 + 0 + 4*a**2 + 1\/90*a**6 - 1\/9*a**4 + 0*a. Factor z(g).\nAnswer: -2*(g - 2)**2*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19451.\nAnswer: 53, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -15*o + 31. Let u be d(-6). Let p = u + -51. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2396 - 2394. Solve -11*g = -8*g + s*i - 18, -4*g + 10 = -2*i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 9\/80 and -61\/2184.\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -14, -3, 16, 43, 78, 121?\n\"Answer: 4*m**2 - m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -187*a. Let j(o) = -12*o**2. Determine k(j(m)).\nAnswer: 2244*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*h = -72 - 15. Solve 4*i + 2*k = -16, 1 + 8 = -5*i + h*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.6308, 150, 1\/15?\nAnswer: -0.6308","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*h + 16*h - 29*h + 0*h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = 5*y + 66, 0 = -2*b + 3*b + 1894*y - 1899*y - 72 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4240824.\nAnswer: 2, 3, 7, 25243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 138 is divided by 41?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6445050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 5:01 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -644, -1017, -1246, -1331?\nAnswer: -1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 264 divided by 33\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.146 times 27?\nAnswer: -30.942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -5.187  (b) 2\/9  (c) 217\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 164404467 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a + 46 + 38. Let g = a + -22. Calculate the lowest common multiple of g and 4 + 5\/(5\/16).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -k**2 - 6*k - 9. Determine n(-7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 856760 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*v**2 - 4*v**2 + 0*v**2)*(-2 - 1 - 1) - 2*v - 142*v**2 + 2*v - 367*v**2 - 865*v**2 in the form q + s*v**2 + g*v and give s.\nAnswer: -1366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.9 - 15.8. Let i = 65.9 + t. Let o = i + -56.986. Round o to 3 dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l + 5*c + 41, 0*l = -5*l + 3*c + 35. Suppose -3*s - 494 = -l*w + 704, -w + 304 = -3*s. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 14*m + 1144. Let p be b(-82). Let j be (1\/(-8)*2)\/1. What is the closest to j in p, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -21*b**2 - 2*b**3 + 0*b**3 + 24*b**2 to the form h*b**3 + n*b + t*b**2 + m and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -3478324 divided by -3478324?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -117 - -172. Let y = 74 - x. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: d584a (base 14) to base 10\nAnswer: 514762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.125721 decades?\nAnswer: 0.0125721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1300212203 (base 4) in base 3?\nAnswer: 212102200012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -371 + 377. Let m(r) be the second derivative of 1\/36*r**4 + q*r + 0 + 0*r**2 + 0*r**3. Factor m(z).\nAnswer: z**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10973 + 10988. Sort o, 5, -62 in descending order.\nAnswer: o, 5, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 - 2 + (-3 + 0 + 1)*(1 + 5 - 4) - 4 + 0 + 0)*(-s + 0*s - s)*(-1 + 3 - 4) to the form w + q*s and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s + 2. Let w be f(0). Suppose -5*c - 12 = 2*y + 5, 3*y = -4*c - 8. Solve 5*h + 45 = 4*a + a, -y*h = w*a + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 4*r + 12 = 2*u, 0 = -5*u + r + 12. Let d = 33571\/7245 - -1440\/161. Let b = d + -69\/5. Is b less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22 + 28. Suppose -3 = -2*y - 0*y + 3*f, -2*y - 5*f + 11 = 0. Let t = j + y. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21542.2 to the nearest 100.\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -480 + 517 + -13 + 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of u**6\/6 + 31*u**5\/5 + u**2 + 94*u + 446. What is the second derivative of l(b) wrt b?\nAnswer: 20*b**3 + 372*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 0 = -4. Which is the nearest to 2\/5?  (a) s  (b) 0  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -6227240025 from -4.\nAnswer: 6227240021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 6:58 PM?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hbb when three letters picked without replacement from oohbbbob.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4 - (8 - -4)\/3. Suppose k - 6*k + 2400 = u. Is k a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-2\/9)\/n)\/n**(3\/7))\/(n**(2\/7)\/n)**(2\/33)*n**(-5)*n\/n**(-1\/3)*n*n*n**5*n**(-1\/8)\/n assuming n is positive.\nAnswer: n**(3331\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 4*o - 43. Suppose -8*n = -13*n + 65. Let h be k(n). Let r(j) = 2 - 10 - 5 + 0 + 2*j. Calculate r(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*y + 5*y - 2*y)*((4 - 3 - 2)*(5*y - 4*y + 0*y) - 4 + 4 - 5*y).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -5040 take away -0.5?\nAnswer: -5039.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, d: 5, f: 5, n: 5, j: 3}. What is prob of sequence jdnj?\nAnswer: 25\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/75702 and 49\/1703295.\nAnswer: 3406590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8089 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*s**2 + s**3 + 47*s**4 - 17*s**4 - 3 - 5*s - 15*s**4 - 19*s**2 - 13*s**4 to the form a*s + z*s**2 + o*s**3 + q*s**4 + r and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 3038\/19 + (1 - (-34)\/(-38)). Let r = 160 - d. Sort -1, 2, 5, r.\nAnswer: -1, r, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 78 = -2*z - 71 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 6, 28, 52, 78, 106, 136?\n\"Answer: b**2 + 19*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 12*f + 2. Let x be z(-2). Let s = -7 - x. Let o(g) = g**3 + g**2 - 5. Let c be o(4). What is the highest common factor of c and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3234?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 16933?\nAnswer: 7, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.058 times -107.0304?\nAnswer: -6.2077632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - z = 2*t + 22, -2*z = 8. Let k(u) = u**3 + 9*u**2 + 11*u - 3. Is 39 a factor of k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 603131393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 56316 + -233?\nAnswer: 56053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 1008 = -4562. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -7*v. Let f(b) = 11*b. Let l(x) = 5*f(x) + 8*s(x). Let w(r) = -6*r**2. Determine l(w(u)).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -147*h**4*j + 192029*h**4 - 2*h**2*j - h*j - 743378*h + j wrt h.\nAnswer: -3528*h*j + 4608696*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 313946233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1108*t + 1212 = -1004 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*t**(-6)*t*t)\/(t\/(t*t\/t**(3\/7)))*(t*t\/t**(-2\/5)*t)\/(t**(3\/8)*t)*((((t**(1\/3)\/t)\/t)\/t)\/(t\/(t**1*t)*t))**(2\/87) assuming t is positive.\nAnswer: t**(-33973\/73080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 u when three letters picked without replacement from {l: 11, x: 3, j: 1, u: 2, b: 1}.\nAnswer: 55\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 3*r = 2*l - 22, 3*l = 2*r + 28. Solve 0 = l*p - 2*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25\/4 of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31249845 divided by 9.\nAnswer: 3472205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 3, f: 1, t: 1, y: 2}. Give prob of picking 1 y, 1 f, 1 t, and 1 z.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (3\/(-30))\/(30\/225). Sort -2\/7, x, -2\/15, -0.1 in decreasing order.\nAnswer: -0.1, -2\/15, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.231 - -101.231. Let d = 102.072 - s. Let i = -1 + d. What is i rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -211*l - 83*l + 2778300. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - -10 - (0 + 18 - 25)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*m + 52 + 198 = 0. Let y(n) = n**2 + 3*n - n - 2*n**2. Let w(u) = 2*u. What is m*y(b) + 2*w(b)?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -1449 times -0.1?\nAnswer: 144.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the first derivative of -t**3\/12 - t**2\/8 - 8. Solve z(p) = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -27, -65, -101, -135, -167, -197, -225?\n\"Answer: d**2 - 41*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -71\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 21519157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 223 - 443\/2. Factor 0 + v*w**3 + 5\/2*w**2 - w.\nAnswer: w*(w + 2)*(3*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/27 and 13\/105?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w = -3*l - 63, 60*l = 3*w - 149 - 802 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -2*t, -5*t + 64 = -17*l + 21*l. Solve -l*a = -23*a + i - 15, -5*a + 17 = -i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*u = 115 - 122. Let c(l) = -10*l**3 - l**2 + l + 1. What is c(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1312753 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3\/(-6)*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -16577490, -16577491, -16577492, -16577493, -16577494?\n\"Answer: -o - 16577489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 62405.15um?\nAnswer: 0.00006240515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, z: 6, v: 1, l: 5, n: 1, u: 3}. What is prob of picking 1 v, 2 z, and 1 w?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 698*j**6 + 10*j**5 + 56*j**3 + 2*j**2 + 6826*j + 87?\nAnswer: 83760*j**3 + 600*j**2 + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 97*a**2. Suppose -2*d + 6*d = 8. Let v(f) = 4*f**d - 5*f**2 + 3*f**2. Give v(h(w)).\nAnswer: 18818*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.3 - 0.2. Let t = -2395 + 2558.3. Let x = t + -163. Put a, x, -6 in ascending order.\nAnswer: -6, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 79178080 a multiple of 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 4 + 6 + 8 + -31.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((3*sqrt(360)\/(sqrt(12)\/sqrt(2)))\/((2*sqrt(432) + sqrt(432))*-5 + sqrt(432)))**2.\nAnswer: -5\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1771, 7147, 16127, 28729, 44971, 64871?\nAnswer: 88447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) be the third derivative of 0 - 13\/336*w**8 + 0*w**3 + 0*w**6 + 0*w**7 + 0*w**5 - 13\/24*w**4 + 0*w - 13*w**2. Find the second derivative of z(k) wrt k.\nAnswer: -260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -4*-6*(sqrt(1100) - (sqrt(1100) - (5 + sqrt(1100) + 0) - sqrt(1100)))*-1 + -3)**2 + -5.\nAnswer: 120000*sqrt(11) + 2550020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 72.41 - 72. Let k = 0.4 - n. Let t = 0.41 + k. Put t, -3, -1\/3 in ascending order.\nAnswer: -3, -1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:43 PM and 2:35 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -3 - (-12 - -14 - (-1 + 3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 72, 299, 680, 1215, 1904?\n\"Answer: 77*k**2 - 4*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, -0.5, 16872?\nAnswer: 16872","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -2*d. Let f be m(-3). Suppose -g + 7 = -f. Calculate the remainder when g is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qvq when three letters picked without replacement from {n: 1, o: 2, v: 1, q: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 1 - 8 = 0. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 0*s - 5*c = -31, -700*s - 10 = -686*s + 3*c + 25 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**3 + l**2 + l - 1. Let r(t) = 16*t**3 + 12*t**2 + 32*t - 20. Let k(m) = r(m) - 20*y(m). Factor k(d).\nAnswer: -4*d*(d - 1)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7.044+10.4\nAnswer: 3.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 223469 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 180 and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vovvvvwvovvowvvvvllv. Give prob of picking 1 o and 1 l.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) be the second derivative of b**5\/10 - 185*b**4\/2 + 1917*b**2\/2 - 15*b + 1. Find the first derivative of q(m) wrt m.\nAnswer: 6*m**2 - 2220*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*j**3 + j**2 - 1205*j + 3372 with respect to j.\nAnswer: -6*j**2 + 2*j - 1205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-8)*3*(-4)\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 633 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 0 + 61831\/63 + (-24)\/54.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = -t + 2, 0 = 3*b - 4*t - 0 - 6. Solve -22 = 4*u - b*n, 0*n + 7 = -4*u - n for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-7)\/((-35)\/30))\/2. Solve -2*w = 3*n - 17, -y*n - 3*w = 2*w - 29 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:35 PM and 2:44 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -3. Let x = i - -4. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 38*b. Let v(i) = -19*i**2 + 3*i. What is v(p(o))?\nAnswer: -27436*o**2 + 114*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 3  (b) -0.3  (c) 2290\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 721 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 12 and 6?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1820821049 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 11) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 2*n. Let v(j) be the third derivative of -1\/60*j**5 + 31*j**2 + 0*j**4 + 0*j + 0*j**3 + 0. Calculate r(v(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -581356.3, 4, -2?\nAnswer: -581356.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 551464193 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 51476*n**2 - 31353*n**2 - 1.\nAnswer: -82829*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*s - 96*s**3 - 95*s**3 + 2*s + 207*s**3.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -41*g - 1. Is z(-2) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yg when two letters picked without replacement from bbxfxbfgbxyyvxfbgb?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 23811 - -5?\nAnswer: 23816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -t + 21*t - t in the form r + g*t and give g.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 36*26\/936 + (-22)\/10\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12584.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94149, -93162, -90481, -85260, -76653, -63814, -45897, -22056?\nAnswer: 8555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 6*t + 33. What is the lowest common multiple of 4 and s(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 18 in -5, -0.01, -1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - b = 5*i - 10, 0 = i + 3*b - 10. Calculate the lowest common multiple of (-375)\/(-50) - (-2)\/4 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -27*m**4 - 56*m**4 + 43*m**4 - 25*m wrt m?\nAnswer: -480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*q + 0*q + 0*q)*(-6 + 5 - 9) in the form a + u*q and give u.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 270746 - 14?\nAnswer: 270732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 101833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/19?  (a) -2\/11  (b) -2\/5  (c) 5  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-236 - 16\/(-4))\/(-2). Suppose 4*z - w = -5*w + h, z = -5*w + 37. Calculate the smallest common multiple of 24 and z.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2 + 20*d + 11. Suppose -4*h = -5*k + 87, -3*k = 2*h - 8*k + 51. Let u be p(h). Which is greater: -26 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33*w**4 + 19*w**4 - 40*w**4)*(-w + 2*w + 0*w).\nAnswer: 12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y = -3*f + 5*f + 11, 0 = -2*y - f + 17. Suppose 3*h - 161 = 55. Calculate the highest common factor of y and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 7) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 154416039 by 3.\nAnswer: 51472013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -881 + 893. What is the remainder when 14578 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (132*b - 65*b - 86*b + (-4*b + 2*b + 4*b)*(3 - 5 + 1) + 1 - b - 1 - 50 + 0*b + 2*b + b)*(2*b + 2*b - 5*b).\nAnswer: 19*b**2 + 50*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Product of -31.139 and 19.\nAnswer: -591.641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 184319 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 341*c**3 + 11*c + 13. Determine m(-1).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*a - 14*a + 500*a + 202*a + 108*a.\nAnswer: 782*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 PM and 8:34 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - e?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b + 10 - 23 - 15 + 6*b.\nAnswer: -2*b - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -50221*v - v**3 + 50221*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -1055, -4, 11 in ascending order.\nAnswer: -1055, -4, -0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 3 + f - 3. Let z(k) = 10*k**2. Determine z(c(y)).\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes after 2:59 AM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 7622.\nAnswer: 1\/3811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 42 and 231.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 269966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -159*p**2 + 66578*p + 17948. Calculate o(419).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2 - 0. Suppose -3*u = -3*s + 72, -u + z*u - 64 = -3*s. What is the least common multiple of s and 28 + -31 - (-25 - 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 + -7)\/(4\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-42))\/((-16)\/(-112))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 109648884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -668*f - 136 = -672*f. Suppose -30*q + f*q - 3224 = 0. List the prime factors of q.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 22 = 4*o - 1389, 4*o - 3*t = 1405. Suppose -5*m - 2*h = -437, -h = 4*m - 0*h - o. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v - 0*v - 6. Find the third derivative of 0*m**6 - 4*m**2 - v*m**6 + 3*m**6 wrt m.\nAnswer: -360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 6:10 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from hhhyyhhyhhhh?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3273890 to the nearest integer?\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + 3*l**2 - 2*l - 20. Suppose -2*b + y - 9 = -4*b, 0 = 2*b - y - 15. What is the units digit of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 379504606 and 10569?\nAnswer: 3523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 3*x + 1 + 11 = 0, 4*x = -4*s + 16. Suppose c + y = 3, 2*c + 5*y = -s*y. Solve -n = 3*k - 4, c*n + 10 = -0*n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 8 - 37036?\nAnswer: -37027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 6*c + 96 = 0, -4*p - 177*c + 179*c + 42 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1874 + -1878. Which is the second smallest value?  (a) 2\/11  (b) -2\/9  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 1789 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9\/4*((-840)\/(-18) + 4).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**2 - 2*x + 1. Let w be c(2). Let g(s) = s**2 - 28*s + 162. Let y be g(20). Solve -w = q - y for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*u = 215*u + 180*u + 31376 for u.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8 - -13. Let q = r + -21.06. Let l = q + 1.06. Which is the biggest value?  (a) l  (b) 0  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1*-3)\/(21\/(-14)). Let i(w) = 78 + 6*w + 159 + 3*w - 146. Let p be i(-10). What is the nearest to -2\/5 in l, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 532c38d + 4?\nAnswer: 532c393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) -0.4  (b) -1.1  (c) -36  (d) 1973\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -3*g - 5*t, -3*g + 50 = 3*t - 4*t. Let q = g - 9. Solve -4*r = 4*x - q, -2*x - 3 + 19 = -4*r for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53 = -13*r + 846. Suppose r*b - 60*b = 5*y - 28200, 2*b = y - 5649. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**2 - g**3 - 52*g - 2*g**4 - 1 + 54*g + 8*g**4 as z*g**4 + t + x*g**2 + q*g**3 + u*g and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 218 - 151. Let f = y - 34. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -6*h**3 + 321*h**2 + 501*h - 330 = 0.\nAnswer: -2, 1\/2, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14357)\/196 - ((-45)\/4 + (20 - 12)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k - 5 + 5)*(-2*k + 0 + 0)*(-4 + 1 + 2 + (-3 - 1 + 2)*(6 - 2 - 2) + 3 - 3 + 1 - 2 + 3 - 2 - 3 + 0 + 4) + (-k + k - 5*k)*(3*k - 10 + 10).\nAnswer: -39*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 596 - 592. Solve -v - b = y, v + 5*y = 6*v + 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the second derivative of x**3\/3 - x. Let t(f) = -2*f + 19*f + 2*f - 21*f. Give d(t(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*n - 16*n + 168 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2 = 3*p - 3*f, -4*f + 12 = 2*p. Suppose 4*y = 5*b - 46, -4*b - p*y - y = -43. Solve 6*l = l + b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -4*f**2 - 204*f - 549. Give r(-3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or 3007390?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(-1\/3)\/f)\/f)\/f)**9*f**2*f**2 assuming f is positive.\nAnswer: f**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t + 1. Let i be f(-6). Let s = 39 + -38. Sort i, s, 2.\nAnswer: i, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.15 greater than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5*3\/60)\/((-1)\/(-20)). Suppose -d*c = 4*c - 0*c. Let m = -16 - -17. Solve c = h + m + 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 64*y + 4. Let n be w(-4). What are the prime factors of (-2326)\/(-18) + 7\/(n\/8)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes after 7:07 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 337\/153 + -113\/17. Calculate the common denominator of -7\/11 and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 65907792 and 5276?\nAnswer: 5276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/t**(-3\/14))\/t**(-2\/9)*(t**(-6)*t)**(28\/9) assuming t is positive.\nAnswer: t**(-593\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 8:57 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 185 + -149. Let z(y) = 2*y**2 - 9*y + 6. Let g be z(6). Let b = s - g. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bt when two letters picked without replacement from bgtttbtttztzttttbgbt.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 524 + -3149\/6. Let g be (28\/105)\/((-2)\/(-10)). Let p = g + k. Which is the third smallest value?  (a) 1  (b) p  (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14923?\nAnswer: 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 4 = -29. What is the smallest value in -1\/2, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-5))**23 assuming n is positive.\nAnswer: n**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 5 - 1)*(-68*j - 243*j + 68*j)*((-2 - 1 + 2)*(-2*j + 0*j + 3*j) + 0 + 2*j + 0) to i*j**2 + x + c*j and give i.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 264471160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.1 + 2. Let l = -40 - -83\/2. Which is the second smallest value?  (a) r  (b) l  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 16, 0, 1210, 60 in decreasing order.\nAnswer: 1210, 60, 16, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -2*c - 9. Let i be f(-4). Let q be i\/((3\/(-50))\/3). Suppose -2*y = -p + 10, -y - q = -5*p - 3*y. Solve -3*x = o + 3*o + p, -5*x - o = -6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvo when three letters picked without replacement from pooooopvpopobvop?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2910395?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -69*d - 4*j = -68*d + 24, 3*d = -3*j - 45 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 64 + -65. Let x = -40 - -37. Let f = 9 + -6. What is the nearest to -3 in x, i, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.7 and -0.09.\nAnswer: -0.153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 AM and 12:06 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24, 58, 260, 642, 1264, 2186, 3468, 5170?\nAnswer: 7352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (121 - 102 - (23 - -3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 103.9 and 683963.\nAnswer: 71063755.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9481079?\nAnswer: 9481079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -9. Suppose 0 = -r*i - 2*i + 16. Solve o - 9 = i*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28\/527 + 522\/10013. Let 12\/19*o**2 - 18\/19*o - b*o**3 + 8\/19 = 0. Calculate o.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (204\/(-612))\/(5\/(-9)). Let w = -6 + 1. Which is the nearest to -1?  (a) -1  (b) s  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 107605 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of 323*x**4\/4 - 7*x**3\/3 - 21*x - 368. Find the third derivative of u(j) wrt j.\nAnswer: 1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16 + 8 - 24 + 90*n + 191*n to r*n + z and give r.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -3 - ((-53)\/8 - (-24)\/(-64)). Solve -p + 5 = -z*a, 0*a = -a - 2*p - 8 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 119375037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = q**2 + 7*q. What are the prime factors of r(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -125 + 42. Let c = d - -94.2. Let l = 11.153 - c. Round l to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3078969 rounded to the nearest 10000?\nAnswer: -3080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 201015455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -11278, -11776, -12262, -12730, -13174, -13588, -13966?\nAnswer: -14302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*p + 25*p - 70*h = 210, -3*h - 9 = 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the first derivative of -r**2\/2 - 1. Let v(m) be the third derivative of -m**4\/12 + 31*m**2. Determine 8*u(c) - 3*v(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 4*y + 1. Suppose 5*u = -14 - 1. Let m(p) = 5*p + 2. Let a(s) = u*m(s) + 4*q(s). Let r be a(2). Which is bigger: r or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1131312 (base 4) to base 10.\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 - n + 4)*(-13*n + 34*n + 24*n + (0 - 1 + 3)*(-3*n + 0*n + 2*n) + 0 + 0 - 2*n - n + n - 2*n) in the form m + i*n**2 + l*n and give i.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 - (3 + -9)) + -1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the second derivative of -m**5\/20 - m**4\/3 - m**3\/2 - 3*m**2 - 2*m. Let p = -740 - -736. Let q be r(p). Solve 4*k + q - 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in -2\/5, 3\/4, -50, -2, -349?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:20 AM and 9:16 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-281)\/(-11) - 14460\/26510.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*f - j, -4*f - 5 + 0 = -5*j. Suppose -5*x + 8*h - 3*h + 40 = f, -3*h = -15. Solve -6*m + 4*m = 5*k - x, 2*k - 6 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the second derivative of -m**6\/30 - 441*m**2\/2 + 521*m - 1. Differentiate k(p) wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -168?  (a) -1\/4  (b) 0  (c) -0.2  (d) -5\/6  (e) -4.663  (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -64559.95294817 + 124.80291317. Let w = c + 64435. Let r = w - -0.15. Round r to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -193.1 - 1.2.\nAnswer: -194.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 + 2*m - 13)*(8614 - 2780 + 9201 + 4743 + 5182).\nAnswer: 49920*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -98 by 2.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -18c420a (base 15) to base 5.\nAnswer: -14112241320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -164 - -196. Which is the smallest value?  (a) -7  (b) 3  (c) n  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38 = -28*d + 142 + 660 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 179.3 - 200. Round t to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -105 + 106. Which is the third smallest value?  (a) -2\/3  (b) o  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -8986 - -8986. Let q(f) be the third derivative of 0*f**5 + u*f**3 - 34*f**2 - 4\/15*f**6 + 2\/3*f**4 + 0 + 0*f. Find the second derivative of q(p) wrt p.\nAnswer: -192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 721\/(-2472)*220\/(-35)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 43 is divided by (-4)\/3 + 1050\/45.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = 2*r - 3. Let m(f) = -f**2 + 5*f - r + 1 + 5. Let t(k) = -11*k + 478. Let c be t(43). Calculate m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-179514)\/1*(-9)\/(-6). Let z = -1952458 + o. Let d = -2178271 + z. Round d to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes before 1:26 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2773, -11222, -25301, -45010?\nAnswer: -70349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, 1, 6, 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 488 minutes before 9:11 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.15067 and -651?\nAnswer: 98.08617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1.5 - 1.4. Let x = -22.03 + 0.03. Which is the closest to x?  (a) u  (b) 5  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 9, 3, 2, -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 629 = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -40, -44, -52, -64, -80, -100, -124?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25 is divided by (-162)\/405*(-130)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 - 9*y - 10. Let g be k(-7). Suppose -5*z + 29 = 4*m, z + m - 2 = g. Solve 1 - z = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from {s: 2, x: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1125 and 45?\nAnswer: 1125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 17108*b + 102636. Calculate o(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -73 + 42. Let q = f + 33. Suppose -6*z + 8 = -q*z. Solve t = -t + z for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -15 - -17. Suppose 2*t + 0 = k*z - 4, -2*z + 4*t = -8. Let s(o) = o**2 + 3977. Is s(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2088 divided by 522?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 3*j - 5*d + 34, 0 = -d + 5 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26 - 6. Let g be 4\/p - (-322)\/(-10). Let x = -27 - g. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = 3*p + 2*g - 588, 0 = p - g - 186. What are the prime factors of p?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 4, 10772, 43\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1105 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 44 - 48. Put t, 226, 4, -2 in decreasing order.\nAnswer: 226, 4, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 379457605 to the power of 1\/3, to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35457, 141819, 319083, 567243, 886293, 1276227, 1737039, 2268723?\nAnswer: 2871273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = -5*m + 3*f - 1121, f = m + 223. Is (13\/2)\/((-16)\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5 - 3171?\nAnswer: -3176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1174, 5909, 13752, 24703, 38762?\nAnswer: 55929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.076171 - 4.811271. Let b = 4.73 + g. Round b to 4 decimal places.\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -33315 in 27, -11, 0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 23.416025 + -23.41. What is g rounded to 4 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = v + 84106 - 7106. Round v to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d + 9*d + a + 6496 = 0, 3*d = 5*a + 9751. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 5*l**5\/3 + 295*l**4\/3 - 2995*l**3\/3 + 4465*l**2\/3 + 2990*l\/3 - 4760\/3 = 0.\nAnswer: -68, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -1085068, -1085070, -1085072, -1085074, -1085076, -1085078?\n\"Answer: -2*g - 1085066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8 in -1\/9, 232\/9, 6, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1740 and 1740?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1008361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 235224 to the power of 1\/2, to the nearest integer?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -480*s - 2768 = -134*s for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -35863 divided by -3613\nAnswer: 35863\/3613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 868 - 56*q**3 - 868 + (1 - 1 - q**2)*(-q - 3*q + 5*q) in the form g*q**2 + m*q**3 + j*q + k and give m.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 225 divide 109575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z**5\/3 - 1310*z**4\/3 - 18440*z**3\/3 + 21070*z**2\/3 + 18445*z\/3 - 19760\/3 = 0. Calculate z.\nAnswer: -247, -16, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 1170.68 to the nearest 10.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = k**3 - 65*k**2 + 186*k + 1. Determine v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 0.08381284.\nAnswer: -3.91618716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 2*c - 4. Let g be d(4). Suppose 2*w + 8 = g*w. What is the units digit of (w\/(-6))\/((-4)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c and 1 w when four letters picked without replacement from cwcwd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02 * 90.647.\nAnswer: 1.81294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 - 208\/(-10) - 8\/10. Solve -6*d + z = -11*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*j**3 + 2*j**3 + 2*j**3)*(6586 - 6453 + 3941) + j**2 - j**2 - 3*j**3.\nAnswer: -4077*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 1 + 0 + 1 - 3*l. Let k be h(-2). Let p = 84 - k. Is 19 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a micrometer in nanometers?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -t - t. Suppose 3*d + d - 4*k = 12, -k + 22 = 4*d. Suppose j - d*a = -t, 28 = j + 3*j + 4*a. Calculate the lowest common multiple of j and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -5, 4, -3 in ascending order.\nAnswer: -5, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1058124 at least -1058143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 1440*i + 1441*i = -8, 5*n + 25 = -2*i for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 - 8. Suppose -b + u = 3*b. Let g be 0*(0 + (-4 - -7) + -4). Solve -w - 11 = -2*y, b*w = -4*y - g*y + 17 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3\/524, 0.4, -2?\nAnswer: -3\/524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 4180?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 AM and 6:04 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23410?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(10\/((-16)\/(-8)))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4*f**2 - 2*f + 27. What is the units digit of r(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 14375344, 14375343, 14375342, 14375341, 14375340, 14375339?\n\"Answer: -c + 14375345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2614149 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19133?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 + -3d?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.18 * 0.20234.\nAnswer: 0.0364212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wo when two letters picked without replacement from ofadwdw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g*j*r - 2*g*r**2 - 5*g*r - 16*g + 84587387*j*r**2 - 2*j + 2*r - 4457 wrt r.\nAnswer: -4*g + 169174774*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 3*c. Let s(f) = -7*f - 2016. What is y(s(q))?\nAnswer: -21*q - 6048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 14029 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -r**4 + 15162*r**3 + 487*r + 31 wrt r.\nAnswer: -12*r**2 + 90972*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 416 in 0, 0.2, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the first derivative of -h**3 - 2 + 0*h - 3\/4*h**4 + 0*h**2. What is the third derivative of a(k) wrt k?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/19*f**3 - 2\/19*f + 0 + 4\/19*f**2.\nAnswer: -2*f*(f - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3\/4  (b) -4\/3  (c) -2\/47  (d) -1  (e) -9\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -94 - -96. Which is the nearest to -2\/7?  (a) -2  (b) m  (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y - y**3 - 2*y + (-3*y**3 + 2*y**3 - y**3)*(-1 + 1 + 1) + y**3 + 0 + 0)*(y**2 + 1 - 1).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12 + -20. Let r(i) = -i**3 - 7*i**2 + 8*i + 3. Let b be r(p). Let a(z) = -12*z + b + 6 + 9*z. Let x(m) = 4*m - 13. Calculate -7*a(d) - 5*x(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -54b (base 12) in base 5?\nAnswer: -11104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 54 + -51. What is the nearest to -0.1 in t, 1\/2, 4\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-3) - (-168)\/36)*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ioixro. What is prob of sequence oo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -525 + 654 + -9 + -103?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -887?  (a) 0.3  (b) 1\/6  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41.7*0.4.\nAnswer: 16.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 170 + -162. Solve -n*m - 30 = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 717 - 1433\/2. Let m be -1 + 1 - (-1)\/(-2). Which is the smallest value?  (a) r  (b) -0.4  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2424571 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*s**2 + 2 - 135*s**4 + 413*s**4 + 18*s - 137*s**4 - 142*s**4 to the form a + l*s + c*s**3 + z*s**2 + g*s**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-126)\/42)\/(44\/(-550)*1\/(-2)).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1850*r - 246456 = -4784*r for r.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2158 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -240*u - 734.\nAnswer: -240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) 0.3  (c) -5  (d) 2\/11  (e) -155  (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of s**6\/360 + 2*s**3\/3 + 2. Let r(l) be the third derivative of o(l). Let y(w) = -2*w. What is r(y(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.8?  (a) -2  (b) -2\/5  (c) -7  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -4*s**3 + 8*s**2 + 4000*s - 30464 = 0.\nAnswer: -34, 8, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 - -9 - 0 - -1. Solve -p*h - 25 = -3*c, -3*c + 21 = h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**4\/5 + 2*i**3\/5 + 3*i**2\/5 - 4*i\/5 - 4\/5.\nAnswer: -(i - 2)**2*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 959*f + 3 - 875*f + 6.\nAnswer: 84*f + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 PM and 5:09 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5568 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*l - 2558853*l**2 + 7*l - l.\nAnswer: -2558853*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, z: 2, t: 1, h: 2, a: 1}. Give prob of sequence tta.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 189 divide 1922886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/2*12\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 + 31 = 2*x + j, 0 = 6*x - 2*j + 28 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -4) + (-52 - -46) - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10456 is divided by 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 26 - 22. Suppose -z - 3*p - 12 = z, -f*p - 8 = 0. Let s(i) = 4*i + 2. Let w(d) = 7*d + 4. Determine z*w(l) + 5*s(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -32035*444\nAnswer: -14223540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 180 is divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1043000000 rounded to the nearest one million?\nAnswer: 1043000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*c + 4 = -7*c. Let b = -74 - -70. What is the fourth smallest value in 2, 3, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uxjv when four letters picked without replacement from yjuuuxvuvjuvzxvv.\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes after 11:14 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11360543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 2 + 2)*(-33 + 2*r + 33)*(62*r - 464*r + 15*r) in the form t + q*r + j*r**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 9275, 37103, 83483, 148415, 231899, 333935, 454523?\nAnswer: 593663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, -3, 77, -4, 12 in descending order.\nAnswer: 77, 12, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2 - 184*x + 183.\nAnswer: (x - 183)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.249 + 0.051. Let v = g - 0.1. Which is bigger: 2\/21 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:25 AM and 5:02 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25029.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (42*b + 21*b - 31*b)*(-5 + 1 + 3)*(2*b + b - 2*b) in the form t*b**2 + v*b + p and give t.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3, -5, -3\/2 in descending order.\nAnswer: -3\/2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -b**2 + 4*b - 1. Let t be c(4). List the prime factors of (-1 - t)\/(-1) - -21.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m + 3*m - 2592 = 0. Calculate the highest common factor of m and 162.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7252\/(-63) + (6\/(-4))\/(1863\/(-138))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -a. Let m(d) be the third derivative of d**4\/12 + 7*d**2. Let h(v) = m(v) + 6*t(v). Let u(o) be the first derivative of -o**2 - 1. Give h(u(n)).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.3 + 4.7. Which is the smallest value?  (a) -5  (b) w  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (11670\/258)\/5 - (-1 - -10). Which is the nearest to f?  (a) 0  (b) 1\/8  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11 - 17*g - 3 - 5 + 11*g + 0 + g**3 - 114*g**2 wrt g?\nAnswer: 6*g - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -35491*q*v + 5*q - 671 wrt v?\nAnswer: -35491*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6\/7, -312, -0.0199, -0.5, 0.5?\nAnswer: -0.0199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 357256061?\nAnswer: 357256061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**5\/5 + 6*n**4\/5 + 42*n**3\/5 - 14*n**2\/5 - 24*n - 72\/5 = 0 for n.\nAnswer: -3, -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8484 and 1848805.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the third derivative of -2*g**2 + 0*g + 0 + 0*g**3 + 1\/12*g**4. Let n(j) = 6*j. Determine c(n(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 31*t**2 - 53*t - 122. Let l(c) = 7*c**2 - 13*c - 30. Let p(y) = 4*h(y) - 18*l(y). Factor p(q).\nAnswer: -2*(q - 13)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 11*u = -45 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4324377 is divided by 291?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 20679 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/((24\/10)\/(-4)). Let y be 1 + -3*2\/(-6). Suppose -2*t + 7 = j, t - 2*j + y = -t. Calculate the highest common factor of t and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -28383, 4\/9, 6, -2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -170 - -168. What is the third biggest value in -4\/7, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 + 7*a + 7. Let p be (464\/20 - 4) + 2\/(-10). Suppose 0 = -4*w - 1 - p. Give m(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*m**2 - 2*m**3 - 5*m**2 - 3*m + 3*m + 11*m**3 + (2*m**3 + 0*m**3 - 3*m**3)*(2 - 1 - 3) - 3 + 2*m**3 + 3.\nAnswer: 13*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 15*p**2. Let g(d) = 10*d**2. Give a(g(s)).\nAnswer: 1500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4.0296 + -0.0296. Sort -2\/35, z, 0.1 in ascending order.\nAnswer: -2\/35, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 341, 342, 343?\nAnswer: 344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 11761 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 + o + 7. Determine d(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = -3*m - 2*t + 29342, 3*t - 19533 = -2*m. Let h = m + -6976. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1844 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -902, -848, -760, -638, -482?\n\"Answer: 17*f**2 + 3*f - 922","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 16) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 5. What is the third smallest value in i, -2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 32 + 38. Are 12 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 5 + 3 + (0 + -6 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 95 * 0.2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do 57248 and 57250 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 41659339*-4.\nAnswer: -166637356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2\/3)\/z)\/z*z*z\/z**(-1\/2))\/(z\/z**(2\/7))**(2\/97)*((z**(-1\/3))**7)**(-13) assuming z is positive.\nAnswer: z**(122839\/4074)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 732*i**2 + i - 1. What is the tens digit of r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 4. Let t(y) = -3 + 2*y**2 + 11*y - 2*y**2 - 6 - 2*y**2. Let g(q) = q**2 - 5*q + 4. Let r(b) = v*t(b) + 7*g(b). Factor r(p).\nAnswer: (p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 334367*o**2 + 344882*o wrt o?\nAnswer: 668734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27631, 55280, 82929, 110578, 138227?\nAnswer: 165876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 47*b**2 + 267*b wrt b.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 35215 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2741*u - 320*u + 2215*u + 1697*u - 1058*u.\nAnswer: 5275*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -203.6435 to 0 dps.\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - (-4 - -5)) + 3\/(-4).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/58)\/((-16990)\/(-246355)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 3*p**2 + 2*p + 1. Let l be g(-2). Suppose 5*m = -2*i - l, 2*i = -m + 4 - 1. Let d(j) = -4*j + 3. Determine d(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -14*(-1655869)\/266 + (-3 - 2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1021143 to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -30 + 11120003?\nAnswer: 11113313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2 + -1 + 10 - 0. Suppose -d = 4*x + 1. What is the units digit of x - (-2)\/1 - -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 + 26*v**2 + 10*v + 552. Determine s(-14).\nAnswer: 2764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 94, 95, 96, 97, 98, 99?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10168409 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(-2))\/q)**47*q**(1\/42)\/(q**(1\/6)*q*q) assuming q is positive.\nAnswer: q**(643\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*r + r + 10. Let n be ((-8)\/54)\/(96\/(-1296)). Solve 0 = 5*q + r*v - n, 5*q = -5*v - 3 - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/4041671 and 5\/945923.\nAnswer: 44458381","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/5)\/(12\/(-45)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -117.5 and 202?\nAnswer: 319.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -17*n. Let m(b) = b**3 + 14*b**2 + 55*b + 32. Let z be m(-7). Calculate the remainder when (-1660)\/8*4\/z is divided by f(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 56*q - 374. Let s(k) = -46*k + 380. What is -5*l(h) - 6*s(h)?\nAnswer: -4*h - 410","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = l**2 - 17*l - 88. List the prime factors of k(45).\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, 0.3, -0.2, 2\/29, -3, -2\/53?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -252171, -252187, -252203, -252219?\nAnswer: -252235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 49 - 29. Calculate the remainder when 59 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -91*l - 5. Let x(f) = 135*f**2. What is x(d(a))?\nAnswer: 1117935*a**2 + 122850*a + 3375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15049635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2\/1028449?\nAnswer: -2\/1028449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36369729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 1\/2*l**2 + 149\/2 - 75*l = 0. What is l?\nAnswer: 1, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1022 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 26456948191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 8 = 4*x, -4*p + 0 + 1 = 5*x. Suppose 2*d = 6*d - 16. Let f = d + -37\/9. Is p <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 + 1 + (-8)\/(-2). Suppose -h + 0*s - p*s = -7, 5 = 3*h - 4*s. Suppose h*t - 49 = -5*d, -4*d = -2*t - 5*d + 21. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1505 + 90*m**2 - 630*m**3 - 710*m**3 + m + 1505 - 373*m**2 wrt m.\nAnswer: -8040","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1439460415 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -9  (b) -1\/8  (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.5432936 kilograms?\nAnswer: 543293600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -235 + 695 + p**2 - 231 - 229.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-22)\/374)\/(21\/(-119)))\/(1\/(-84)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2\/9)\/c*c*c**(-5))\/(c*c**(1\/3))**(-32)*(c*c**(-2))**(-31)*(c\/c**(2\/29))\/c*c**(1\/4) assuming c is positive.\nAnswer: c**(71645\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, n: 6}. What is prob of sequence zzn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5220 divided by 6.\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -3*k + 73. Let q(i) = -2*i + 13 - k + i + 7. Let a(r) = 6*r - 3. Let x = 2 - 1. What is x*a(p) + 4*q(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 9574950 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 (base 16) in base 15?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 80.53538l in millilitres?\nAnswer: 80535.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -8  (b) 42  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 11110 (base 2) to base 4\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:38 AM and 9:17 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*l**3 - 6*l**3 + 2*l**3)*(-2 + 3 - 2)*(7*l - 3*l + 0*l) + 5*l**3 + 5*l**4 - 5*l**3 in the form h*l**3 + c*l**2 + u*l**4 + p + j*l and give u.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 11:11 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 3:39 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1798*w**5 + 810*w**5 - 1188*w**5 + (-3*w**3 + 2*w**3 - 2*w**3)*(-1 + 1 - 2*w**2).\nAnswer: -2170*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 1546.693 litres in millilitres?\nAnswer: 1546693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9 + -5 - -3) + -14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 5*f + 8 = -18, f + 8 = 4*d. Solve -d*q - 6 = -0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-79)\/(-14062))\/((-3)\/12).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:16 PM and 11:46 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4389100 rounded to the nearest 10000?\nAnswer: -4390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is seven sixths of a minute in milliseconds?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*j = -244 + 48 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -132588, -529757, -1191704, -2118429?\n\"Answer: -132389*w**2 - 2*w - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 5, 0.5, -37?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 914.\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2428606 and 913610.\nAnswer: 1774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 528 = 8*s. Let y be (5 - s\/(-9))*(-9)\/12. Factor 3\/4 - y*d**2 - 1\/2*d.\nAnswer: -(d - 1)*(d + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 104 and 4328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(243)*5 - sqrt(243)))**2.\nAnswer: 15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**2 + l + 2. Suppose 0*t = 4*t + 8. Let z be o(t). Sort -1, 5, z in descending order.\nAnswer: 5, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*p + 40*p = -144. List the prime factors of 520\/p*52\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 555*m. Let r(w) = -178*w**2. Determine r(j(i)).\nAnswer: -54828450*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1695076?\nAnswer: 2, 423769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q + 9. Let c be r(14). Suppose -c - 3 = -4*a - 3*v, -32 = -4*a - v. Let j(o) = -4*o + 2*o - 6*o - a*o. Let y(z) = -2*z**2. Determine j(y(k)).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n**2 + 3*n**2 - n**2)*(4*n - 4*n + 2*n**2) + 4*n**4 - 2*n**3 - 6*n**2 + 6*n**2.\nAnswer: 2*n**4 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 41*t**2. Let b(v) = -1 + 15*v + 1 + 19*v - 25*v. Give j(b(h)).\nAnswer: 3321*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/((-3)\/(-3)*-1)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + k + 8 = 5*k, 0 = s - 2*k - 16. Let l be s\/(-6)*(-6)\/4. Let d(v) = v + l*v + 3 + v**2 + 0*v. Give d(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -32 - 32420110?\nAnswer: -32420142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 145558 (base 10) to base 15\nAnswer: 2d1dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 10 - (1 + -1 + 0). Let o = 1662 - 1657. Let q be l\/(-14) - (33\/(-7) + o). Which is bigger: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123 is divided by ((-42)\/(-9))\/(20\/90)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.6*37123344\nAnswer: -22274006.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 158 - (-62 - (-30 + -32) - (-9 + 1))?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**3 - 14*n**2 + 24*n - 9. Give z(10).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2 - (-1 - -1) - (11 - -168). Let t = 669 - n. Let s = t + -5934\/7. Is s equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -0*c - 2592. What are the prime factors of ((-36)\/8)\/(428\/c - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1\/147, -2\/11, -1\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of -15*p**2\/2 + 3. Let o be x(-6). Suppose 2*t + 2*g = 4*g + 60, -2*g - o = -3*t. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 215808 and 1035204.\nAnswer: 3372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (3 - (-50)\/(-15))*0\/2. What is the common denominator of (-3)\/(-9) - (543\/(-342) + t) and 23\/8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 66\/(0 - (-15)\/10). Let s = z - 40. Suppose -4*g - 2*k = -952, 0 = -2*g + s*k - 2*k + 470. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of 1\/60*l**5 + 5*l - 1\/2*l**3 - 1\/12*l**4 - 5\/6*l**2 - 1. Factor r(s).\nAnswer: (s - 5)*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13?  (a) 58  (b) -7  (c) 2\/13  (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uq when two letters picked without replacement from fqbuw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {w: 3, h: 2, k: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 687029 - 147567 = -9*w + 40*w. List the prime factors of w.\nAnswer: 2, 7, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -76121321 by 76121321.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7497 and 151538527.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 1:01 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 86837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30019868.\nAnswer: 2, 7504967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 14156359 to the power of 1\/4, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-60)\/27)\/(2464\/616)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-63056)\/(-226)*2\/12. Let u = 5624009\/678 - 8295. Let w = n + u. Find the common denominator of 47\/6 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 11\/(11\/(-8)) + 7. Find the common denominator of -44\/7 and (4\/a - -1) + (-5161)\/(-1378).\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.7 - -0.3. Sort 8\/3, f, -1 in decreasing order.\nAnswer: f, 8\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 + 7*h + 13. Let t be x(17). Let g = t + 242. Let k = 43 + -14. Calculate the remainder when g is divided by k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -0.6, 0.2, -5, -0.637 in decreasing order.\nAnswer: 2, 0.2, -0.6, -0.637, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9*43 - (-3)\/(6\/(-10))?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000995730676 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 77 + -78.09. Let w = b + -4.91. Sort 5, 0.4, w.\nAnswer: w, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91*59.4.\nAnswer: -5405.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.010781 tonnes to micrograms.\nAnswer: 10781000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 917932847 is divided by 74.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -4*i + 4*z, 2*z + z + 19 = 5*i. Suppose -k + 5*r - 6 = 0, -i - 8 = -3*k + r. Let s = 0 + k. Let l(p) = -3*p + 5. Calculate l(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t = 16*t - 3740. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 2 k when four letters picked without replacement from uukkaaauuuuuuakk.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5860115\/(-15) + (-1)\/(-3). Suppose -4*a + z = 2282695, 0 = -4*z - 2 - 2. Let r = d - a. What is r rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 26383, 26374, 26351, 26308, 26239?\nAnswer: 26138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1018\/27, -0.01, 3 in increasing order.\nAnswer: -0.01, 3, 1018\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 386163301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -8*h + 11. Let t(r) = -r + 1. Give 2*q(s) - 22*t(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 4. Let n = -10 - -15. Which is the nearest to 0?  (a) n  (b) 2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 - -13. Let b(l) = -3*l**2 - 2*l - 7. Let t be b(4). Let h = 41 - t. Calculate the smallest common multiple of y and h.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 445980080 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -70*z**3 + 912095*z**2 - 2971100600*z - 212226125.\nAnswer: -5*(z - 6515)**2*(14*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 101017 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -70\/11, 2\/13, 1.1368, -7?\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o + 4. Let f(u) = 7*u - 9. Let k(d) = -9*b(d) - 4*f(d). Let p(l) be the second derivative of l**4\/4 + 12*l. Give k(p(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(363) + 0)**2 - (sqrt(3) - (sqrt(192) + -4))) + ((sqrt(144)\/sqrt(3))\/sqrt(8))\/(sqrt(4)\/sqrt(2)*-4).\nAnswer: 27*sqrt(3)\/4 + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -2*o**3 - 58*o**2 - 487*o - 3144. Determine c(-21).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.5 - 2.59. What is c rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 296\/32 + (-2)\/8. Let z(t) = -4*t**2 + 9 - t**2 - f. Let p(g) = g. Give p(z(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7\/((-14)\/(-8)) - (-3 - -1) and (-16)\/(-3) - 4\/(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 5*j + 21, -j + 4*a = 4*j + 9. Let d be 2\/j + ((-744)\/340 - -3). Is -1 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 67*u**4 + 124*u**4 - 90*u**4 - 6*u - 11 wrt u?\nAnswer: 1212*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 3*i - 4. Let s(b) = b**3 - 5*b**2 - 6*b + 5. Let o be s(6). Calculate q(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in 1569, 861, 2\/3, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3035 by -13.\nAnswer: 3035\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*y**2 - 3*y + y + 13*y**2 - 3*y**2 + 2*y**2 + 3*y**2 + (-y**2 - 4*y + 4*y)*(-5 + 2 + 2).\nAnswer: 14*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*s - 576 = 27*s + 29*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 935826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are 27933306 and 13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-16)\/(-40))\/(1\/10). Is 1*(a + -3) - -498 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -8 + (10 - (1 - 4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -s**3 - 15*s**2 - 6*s + 3. Let q(y) = -y**3 - 14*y**2 - 5*y + 2. Let x(r) = -5*j(r) + 6*q(r). Let n be x(-9). Is 3 + (563 - n\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 836 or -839249?\nAnswer: 836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g**(2\/11)\/g)\/(g\/(g*g*g**(-1\/2)*g)))**8 assuming g is positive.\nAnswer: g**(148\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -143\/5  (b) -2  (c) 1\/3  (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -24 + 73\/3. What is the nearest to 2\/5 in 0.09, 1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -377, -1613, -3711, -6671, -10493, -15177?\nAnswer: -20723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 10:55 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 87 = -x - 4*j, x - 90 = -2*j. Suppose -5*g = 5*i - 4*i + 2, 0 = i + 3*g. Is 2\/i - (-7)\/(x\/3580) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -169\/1045440 and 1\/9218880.\nAnswer: 101407680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 5*t - 2 = 0, 0 = -6*h + 3*h + 3*t + 54. Is 11 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1277818903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add -168663076.6 and 0.2.\nAnswer: -168663076.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7\/274 + 160529\/1370. Let q = 3701\/30 - l. What is the common denominator of -131\/6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -122*u - 26. Suppose 2*x + 1 = 3*p + 11, 4*x = 5*p + 16. What are the prime factors of s(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 2*o + 3*b = -22, 3*b + 26 = -5*o. Which is smaller: o or -84\/17?\nAnswer: -84\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 71, 156, 231, 290, 327, 336, 311?\n\"Answer: -t**3 + t**2 + 89*t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 222 = -5*f, -4*f + f - 4*a = -128. Let j = f + -40. Solve -3*n - 1 = -j for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-14)\/8*(-34)\/119.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -60400020 - 0.5\nAnswer: -60400020.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.8, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 29837?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6470 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 90*x**2 - 4*x - 8. Let k(t) = -9898*t**2 + 441*t + 882. Give 441*a(j) + 4*k(j).\nAnswer: 98*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**2 - 17. Give x(-10).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 338*q - 32293 = -21815 for q.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p - 15*p + 75 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 1, 2, 4, 3\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9556 - -29495. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16.0786497 to two decimal places.\nAnswer: 16.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i - 84 = 10*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -4*t**2 - 119*t - 396. Determine p(-26).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -1 + 2 - j - j. Let g be 16 + (-3)\/(-1) + 0. Suppose 4*i + v = -12, 0 = i - 5*v - g + 1. What is m(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l**2 + 2032*l - 258064 = 0. Calculate l.\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -608*x - 580. Let d be y(-14). Calculate the highest common divisor of 12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 10*p + 2. List the prime factors of s(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 4*y**3 - 5*y**2 - 12*y + 113. List the prime factors of b(7).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 581807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -1. Let j(f) = -3*f + 9. Give 9*i(l) + j(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 91 - 56. Find the third derivative of -13*w**6 + 2*w**6 + 5*w**6 - 2*w + l*w**2 wrt w.\nAnswer: -720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*a**3 + a**2 + 7 + a**2 - a**3 - 5*a**3 as x + d*a**3 + z*a**2 + c*a and give x.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 137\/2 in -473, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -325967, -652756, -979545, -1306334, -1633123?\n\"Answer: -326789*j + 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*q - 20*q = -25*q + 473 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -6*h + 75. Solve -3*a + 9 = -0*a - 2*t, h = 5*a + 3*t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 7*o - 140 = 0. Let x = o - 27. Does 12 divide -3*x + (3 - -53)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1985, 0, 3, -666 in descending order.\nAnswer: 1985, 3, 0, -666","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, -4271, 5.\nAnswer: -4271, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**3 + 6*c**2 + 8*c - 2. Let l(p) be the first derivative of p**4\/4 + 7*p**3\/3 - 21*p**2\/2 - 20*p + 39. Let j be l(-9). Give s(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 2*t - 34 = 0, z - 2*t + 3 = 5. Suppose -88 = -4*q + 4*k, 2*k - z = -q + 2. Let f = -396 - -414. What is the smallest common multiple of f and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 1134 a factor of 244424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the first derivative of -19*j**4\/4 - 7*j**3\/3 + 8*j**2 - 19. Let l be b(-8). Suppose 4585 = 2*t + 5*o - 0*o, 4*t = -4*o + l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -169*b**2 + 9*b. Let p(k) = 84*k**2 - 5*k. Let x(y) = -6*a(y) - 11*p(y). Is x(-1) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*o**2*w**3 - 96*o**2*w - 682*o**2 - 65051331*w**3 - 27*w wrt w.\nAnswer: -12*o**2*w - 390307986*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - p = -3*r + 87, 42 = 2*r + 2*p. Suppose -2*u**2 + 38*u - 35 + r - 27 - 39 + 9 = 0. Calculate u.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 14090 and 15783618.\nAnswer: 2818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -44 or 37.9?\nAnswer: 37.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11337 is divided by 7812.\nAnswer: 3525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -469*r**3 + 4*r + 6*r + 234*r**3 - 60*r + 237*r**3.\nAnswer: 2*r*(r - 5)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**3 - 5*a**2 + 38*a + 180. Let f be i(-7). Solve 2*h + f*h + 70 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12.6 times -3\nAnswer: 37.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wsi when three letters picked without replacement from gssgwbii?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/((-280)\/294))\/(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(12) + 3 + (sqrt(15)\/sqrt(5) + 4)**2.\nAnswer: 10*sqrt(3) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 12*(-440)\/(-66) - (1 - 9). Let c(r) = -r**3 + 6*r**2 + 4*r + 20. Let u be c(6). Calculate the greatest common factor of o and u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i + d - 576, 4*d + 412 = 2*i + 106. Let u be 3\/12 + (-2949)\/(-12). Let c = u - i. What is the remainder when c is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 10) in base 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2734?\nAnswer: 2, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (612\/16)\/((-576)\/(-256))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b, 1 n, and 1 k when four letters picked without replacement from gbbndknk.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79048 is divided by 1575.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.007239758 - 41.992755792. Let f = -42 - w. Round f to seven decimal places.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3805964 and 44?\nAnswer: 41865604","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Convert -405 (base 6) to base 7.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.88 - 1.9. Let c = -3.02 - i. Suppose 21 - 21 = 9*p. What is the closest to 0 in p, c, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -41, 40, 175, 364, 607, 904?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tqtxttttxhqh. Give prob of sequence qq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 566000 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 3*m**2 + 225*m + 5781. What is u(-38)?\nAnswer: 1563","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - 7 = -r, -1250514 + 1250544 = -4*x + 2*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -6*v**3 - 3*v**2 + 43*v - 5. Let g(n) = -5*n**3 - 4*n**2 + 41*n - 3. Let p(o) = 3*g(o) - 2*h(o). Is p(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + (-23 - -47) + -27.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 88\/441 and 97\/108.\nAnswer: 5292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of -x**3\/6 + 3*x**2\/2 + 2*x. Let r be v(3). Solve r = 4*n - 0*n - 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5 - (1 - 7)) + -18 + 19 + -13.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -196337207 and 3?\nAnswer: 196337210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j - 331961*f = -331956*f + 11, 2*j + f = -7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2110342 (base 6) to base 11.\nAnswer: -70029","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*z + 11*z - 4*v - 20, -2*z - 3*v + 2 = 0. Suppose -2*s = z*j - 7*s - 4902, s = -2. What are the prime factors of j?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 0 = -46. Let t be (w\/(-24) - -2)*(-9)\/6. Put -0.11, 0.4, t in descending order.\nAnswer: 0.4, -0.11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/11, -3, 5, -255\/14 in ascending order.\nAnswer: -255\/14, -3, -2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 19*o - 18*o. Suppose -2*n = -5*i - 21, -4*n - 16 - 17 = o*i. What are the prime factors of 9\/(0 + 3) - 2\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 116824 + -116390. Suppose 2*i + 2*i = 248. Calculate the highest common factor of u and i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 72244187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-6)\/5)\/((-6)\/40). Let u(d) = -d - 3*d - z + 0*d. Is 8 a factor of u(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 35937335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 1 = 15. What is the units digit of (-2)\/m + (-3)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:54 AM and 1:11 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -c**2 + 18*c + 25. What is h(21)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*k + 4*b + 10, -5*b - 6 = -0*k - 3*k. Suppose -4*m = k*m. Suppose 5*c = -m + 65. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 396*a + 3900. Calculate v(-11).\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y = 10 + 10. Suppose -5 = -5*s, q - 10 = -4*q - 5*s. Let g be (q + -31)*((-17)\/5 + 3). Solve -2*i - g + y = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*c**5 - 88*c**3 - 10*c**2 + 106870*c?\nAnswer: -40*c**3 - 528*c - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 366697 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (-159)\/18 - 2\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -2 - 3*m - 1 - 8*m**2 - 7*m - m**3. Is d(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*d**4 - 3*d**4 + d**4)*(0 - 7 - 5)*(-6 + 5 - 1) in the form s + x*d**4 + l*d + c*d**3 + w*d**2 and give x.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, t: 12, z: 3}. Give prob of sequence tzt.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 - 2 = 4*m, -2*m + 78 = 4*r. Calculate the least common multiple of 8 and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 4*f + 160 = 0, -3*j - 3*f - 225 = -6*j. What are the prime factors of j?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p + 26*p = 30838. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6.345805m?\nAnswer: 6345.805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-80)\/(-192)*-2)\/(15\/(-9))*-18?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 8 = 4*v, 2*f - 4*f - 2 = 2*v. Let k(y) = 1 - v - y - 2. Let b(d) = -d - 2. Determine -6*b(w) + 5*k(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {r: 1, h: 2, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -125\/714 and 109\/55692.\nAnswer: 55692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pkyykpkyyykpkykpk. What is prob of sequence yypp?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -745 - -751. Put 2\/3, -41, m in descending order.\nAnswer: m, 2\/3, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06001 to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8090 + -559.\nAnswer: 7531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**11)\/o**(-25\/2))\/(o*o\/(o\/((o\/o**(16\/3))\/o)))**(-3\/5) assuming o is positive.\nAnswer: o**(219\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3354283912 to the nearest integer?\nAnswer: 57916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -10746 divided by -3?\nAnswer: 3582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 31, -5, -4 in descending order.\nAnswer: 31, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = 6*i + 2*l - 85, -5 = -l. Suppose -9*m + 6*m = -9. Find the third derivative of -12*t**5 + 12*t**2 - i*t**m + 15*t**3 wrt t.\nAnswer: -720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5111486702 to the nearest integer?\nAnswer: 1723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -3\/217, 1\/6, -0.13?\nAnswer: -3\/217","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 166*b - 4*b**2 + 0*b**2 + 13 + b**3 - 167*b to l*b**3 + n*b**2 + r*b + x and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2355, 4931, 7717, 10713, 13919?\nAnswer: 17335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + 4*r + 7. Let k be d(6). Let j be 60*((-7)\/k + -1). Suppose -5*n + 24 = -3*n. What is the greatest common divisor of n and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zzh when three letters picked without replacement from zeehzez.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 + 2)*(0 - -6). Let p(t) = 1 + 4*t + 2*t - 7*t. Let v(d) = -2*d**2 - 6*d + 4. What is m*p(c) + v(c)?\nAnswer: -2*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aja when three letters picked without replacement from {j: 1, e: 4, a: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in three eighths of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -3 + 13*a - 7*a**3 + 3 - 18*a - 6*a**2 - 5. Suppose 4*m - 4 = -24. Let p(o) = -4*o - 4*o**3 + 5*o**3 - 4 - 7*o**3 - 5*o**2. What is m*v(f) + 6*p(f)?\nAnswer: -f**3 + f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/((a**(-1\/5)\/a)\/a))\/a)**(-21)\/((a*a\/a**(2\/29))\/(a\/(a*a**(2\/23)*a)*a)) assuming a is positive.\nAnswer: a**(-160807\/3335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 703 minutes before 9:43 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1944 + -918. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 5, -966, -344, -1, 0 in decreasing order.\nAnswer: 8, 5, 0, -1, -344, -966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(((-2)\/(-4))\/(5\/(-10))). Let n be -2 - 0\/1 - -3. Is (-144)\/(3\/q) + n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/(-3))\/(4\/(-30)). Let v(s) = 3*s**2 + 13*s - 23. List the prime factors of v(x).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 85 divide 738669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-400)\/(-480)*(-8)\/10.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.20283 + 1?\nAnswer: -0.20283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -6 and -14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the second derivative of -q**3\/6 + q**2\/2 - q. Let n(g) = 3 - 9 + 4 + 2*g + 0*g. Let f(m) = -5*j(m) - 2*n(m). Differentiate f(p) wrt p.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 519 is divided by 413.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/((u\/u**(-1\/3))\/u*u*u)*u)**(22\/7) assuming u is positive.\nAnswer: u**(44\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-4 - 0) + 3)*-5. Suppose -c - 4*c = -85. Suppose q + 4*w = c, -i + 3 = 2*q - 4*w. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 826 = 5*v + 4*h + 822, 5*v - 16 = -h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*t + t**3 - 8*t - 98801*t**2 + 98801*t**2 - 23*t**3.\nAnswer: -22*t**3 + 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 1\/12, -4, 2, -3 in increasing order.\nAnswer: -4, -3, -0.3, 1\/12, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**2 + f + 8. Let i(v) = v**2 + 2*v + 9. Let z(m) = 7*g(m) - 6*i(m). Let r(c) = 7*c**2 + 27*c + 25. Let d be r(-1). What is z(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -34*n - 39*n - 8 + 74*n. Let i = 77 + -67. Give u(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/(b**5*b)*b)**(18\/11)*(b\/b**(-1))\/(b*b*b**(6\/17)) assuming b is positive.\nAnswer: b**(-1290\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*j + 3*j - 4*j + (1 + 0 + 1)*(j - j + j) + 2*j + 3*j - 3*j)*(-8*j + 17 - 17) in the form r + o*j**2 + x*j and give o.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001028 to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rggrrrrbrrgrrrrggr. Give prob of picking 1 r and 1 g.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = w - 8. Let o be 27\/18*4\/(-6)*-8. Let v be c(o). Solve 4*i - 4*y = -20, -i + 4*y - 13 - 1 = v for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -326899 divided by 61.\nAnswer: -5359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (3 - 1) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -36971, -35032, -33093, -31154, -29215, -27276?\nAnswer: -25337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 33.9999979 - 34. What is w rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -5, -169 in descending order.\nAnswer: -0.3, -5, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.2 + 3. Suppose 4*m - 3*h - 31 = 0, 3*m - 5*m + 5 = -5*h. Let d be (-54)\/m + 2\/5. Put b, -1, d in ascending order.\nAnswer: d, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 19 - 19*r**2 + 21*r**2 + 14*r + 6. What are the prime factors of k(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6*6\/9*-1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -57075 (base 8) to base 13\nAnswer: -ac9a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4039*b**3 + 9178*b wrt b?\nAnswer: -24234*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 1:13 AM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 3 - 5 = v, 5*v = 2*f + 16. Put -5, v, 0 in descending order.\nAnswer: v, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1*(-1 + 5 + -1). Let x be 7\/v - (-4)\/(-12). Suppose -2*u = -x*c + u + 6, -3*u = 0. Let m(y) = -y**2 + 4*y. What is m(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19500 divided by -3900.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -12 + (7 + -2)\/5. Let d(q) = q**3 + 12*q**2 + 10*q + 17. Let p be d(g). What is v in 2*v - 5*v**3 + 92*v**2 + 139*v**3 - 128*v**2 + p*v**3 = 0?\nAnswer: 0, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8.9?  (a) 5  (b) -0.1  (c) 1\/8  (d) 13.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Solve 10843*a + 2604 = 9975*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84784769?\nAnswer: 421, 201389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 6 + 10*d)*(2 - 2 - 1) + 48 - 48 + 32*d.\nAnswer: 22*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h**2 - 220*h = 0. Calculate h.\nAnswer: -44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -3*n + 3. Suppose 2 = -2*l + b, l + 15 = -3*b - 0*b. Let k(p) = p**3 + 10*p**2 + 7*p - 2. What is the least common multiple of k(l) and g(-7)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -355, -692, -1029, -1366, -1703, -2040?\n\"Answer: -337*q - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 473 minutes before 12:14 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/4?  (a) -4  (b) -8.134  (c) -7  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -21 + 21 + 17*z - 43 + 11*z. What is the hundreds digit of r(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*m = -50 + 2. Calculate the smallest common multiple of m and 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 - (-7 + 35) - (2 + 2 + -4).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 215024598 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 46\/5 of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -38.47 - -39. Let g = 1367 - 1374.37. Let l = g - f. What is l rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -4, 6, 2.\nAnswer: -10, -4, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 546 + 371*x - 626 - 369*x. Let b(v) = 11*v**2. Calculate l(b(s)).\nAnswer: 22*s**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 31330422 + -2304?\nAnswer: 31323113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108*k + 659 = 222 - 103. Sort 2\/647, 0.5, -0.2, k in ascending order.\nAnswer: -0.2, 2\/647, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 + -22. Which is the nearest to -0.1?  (a) x  (b) -0.8  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5\/2  (b) -23  (c) 2  (d) 0.5  (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.9 + -3. Let l = n - -1. Let o be (-34)\/72 - 4\/(-18). Which is the second biggest value?  (a) -1  (b) o  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/(sqrt(6)\/sqrt(2)) + 5 + (2*sqrt(5) + 0 - 2*sqrt(5)*-6))**2.\nAnswer: 150*sqrt(5) + 1150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/56 and -44\/1391411?\nAnswer: 11131288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.74 - 60111358826.\nAnswer: -60111358825.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 42, 95, 158, 225?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7260*a**2*j*v**2 - 71625*a**2*j*v + 4*a*j*v - 27*a*j - 15*j*v**2 wrt v.\nAnswer: 14520*a**2*j - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 13*a. Let r(s) = -s + 1. Let c(w) = -35*w + 28. Let v(p) = -c(p) + 28*r(p). Let o(z) = 6*t(z) - 11*v(z). Let d(x) = 3*x - 2. Calculate d(n) - o(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + (1 + sqrt(1053) + 2)**2)*-1.\nAnswer: -1062 - 63*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from smnnssnnsnmn. Give prob of picking 2 n.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3.827 + 4.527. Which is bigger: 192 or j?\nAnswer: 192","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34\/35 - 4\/7. Suppose -3*p - 8 = -2*t + 2*p, -5*p = -4*t + 6. Suppose -2*m - 3 - 1 = 0. What is the smallest value in t, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2566171, 10264682, 23095535, 41058730?\n\"Answer: 2566171*b**2 - 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -111612034 (base 7) to base 12.\nAnswer: -2344b37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -129239514 divided by -66141?\nAnswer: 1954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 - -11. Suppose -4*f + 64 = -2*s, f - 2 = -4*s + d. Let w be (-35)\/(-63)*(-24)\/f. Which is smaller: -1 or w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 44, 83, -1\/9, -0.3, 3 in ascending order.\nAnswer: -0.3, -1\/9, 3, 44, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 201874\/5 + -40374. Suppose -l*f**2 + 0 + 0*f + 6\/5*f**3 = 0. Calculate f.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -4\/9  (b) 0.04  (c) -6  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is l in 33*l**4\/4 + 1317*l**3 + 33756*l**2 - 151092*l + 156492 = 0?\nAnswer: -126, -414\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3613018nm in meters?\nAnswer: 0.0000000003613018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from sfdkbffsksssffdfbf.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.04 - 0.02. Let g = o + -0.14. Let a = 2 - 6. Sort a, g, -3 in ascending order.\nAnswer: a, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6576 + 9331 + 21392 + 18612)*(2*y - 5*y + 2*y).\nAnswer: -42759*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**2 + 9*x - 29. Determine m(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 476584505.\nAnswer: 5, 19, 5016679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 719983 is divided by 68?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 401256952?\nAnswer: 2, 1031, 48649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = 7*o - 280. Suppose c = -c + o. Suppose 3*w - c = 79. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*k**4*r**3 - k**4*r**2 - 553*k**3 - 8*k**2*r**3 + k*r**3 + 4*k*r**2 + 44*k*r wrt k.\nAnswer: -240*k*r**3 - 24*k*r**2 - 3318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes after 9:15 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4 and 111223.\nAnswer: -444892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -14*d - 3*d**3 + 69 + 2*d**3 - 12*d**2 + 4*d - 46. Let m be p(-11). What is the least common multiple of (-16)\/m - 52\/(-3) and 12?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*g = g + 130. Which is greater: g or -17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 7252\/41 or 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 2*a - 3. What is c(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 23 - -77. Calculate the greatest common factor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 13 - 11. Sort x, -4, -5 in decreasing order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (13 + 0\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 182080, 364174, 546268, 728362?\n\"Answer: 182094*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 6*u + 12. Let p be (2 + u)*(0 + -2). Suppose p*h + 0*h - 20 = 0. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*f**2*o**2 - 1581*f**2*o*w - 1721*f*o**2*w + 2*o**2*w + 5*o**2 - o*w wrt o.\nAnswer: 4*f**2 - 3442*f*w + 4*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 143703, 143626, 143561, 143514, 143491, 143498, 143541, 143626?\n\"Answer: m**3 - 84*m + 143786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -4*n**3 + 21*n**2 - 42*n + 71. Calculate c(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 260 in 16, 4\/7, -4\/7, 5?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1875 divided by -1\nAnswer: -1875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*t - 3605*z - 5 = -3606*z + 118, -4*z = 2*t + 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (((sqrt(147) - (sqrt(147) + (sqrt(147) - sqrt(147)*-1*-5)) - sqrt(147)) + sqrt(147))\/sqrt(7))\/(-2*-2*sqrt(7)*-2)*1.\nAnswer: -sqrt(3)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 3*q + 144 = 0. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -36*a**3 + 4*a**2 - 13*a + 1. Give j(4).\nAnswer: -2291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 297428 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2064 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 next term in 109516, 109439, 109312, 109135, 108908, 108631?\nAnswer: 108304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -7*k**2 - 18*k - 1. Let c(z) = 46*z**2 + 107*z + 5. Let w(v) = 2*c(v) + 13*g(v). Determine w(19).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/(-16)*((-6071)\/169 + 36)\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*l - 922 + 132 = -89*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - (-45)\/(-6))\/((-3)\/6). Let g = 39 - 62. Let m = y - g. Does 20 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.16, -2.262, 2?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 78 = 3*y + 6, -139 = 5*y - 3*u. Let r(f) = -f**3 - 26*f**2 - 44*f - 1. List the prime factors of r(y).\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-160)\/(-48))\/(4\/(-6))*(-23751)\/1131.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 353  (b) -1  (c) 0.2  (d) 7  (e) 3  (f) 0  (g) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 525 divide 4897958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - 35*z**2 + z - 322. Let h(u) = -u**3 + 42*u**2 - u + 324. What is -5*h(j) - 6*y(j)?\nAnswer: -j**3 - j + 312","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*x - 138 = 10444. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -72436719*j**2 - 21*j - 1047065 wrt j.\nAnswer: -144873438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j + 5. Let z be q(-4). Suppose -4*o - 3 - z = 4*l, l + 5*o = -13. Is 20\/l*(-15)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 50*x - 112. Give y(3).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*p - 2*u = 19*p + 27917, 3*u = p - 5573. Round p to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 6 - 7*c**2 - 2*c + 8*c**2 - 4*c. Calculate the common denominator of k(9) and -18\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 295253.8g to kilograms.\nAnswer: 295.2538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1128992 divided by 16?\nAnswer: -70562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -240422754 rounded to the nearest 1000000?\nAnswer: -240000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.78 + 136842530071?\nAnswer: 136842530069.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*x - x - x)*(0 + 1 + 2 + (0 + 4 - 5)*(-2 + 6 - 3)).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3728222599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:29 PM and 1:01 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 - -11. Let p be 2\/((-4 - -3)*9). Let m = 0 + 0. What is the closest to q in -4, p, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.0468 - 0.0473862. What is o rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 469153430 is divided by 8206?\nAnswer: 8204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14972 - -14976. Put 1, p, 3, 0, 17 in ascending order.\nAnswer: 0, 1, 3, p, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 96657179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 53*k + 963. Does 76 divide o(43)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -287 + 289. Solve -23 = -3*t + 2*c, 5*t + c = s*c + 29 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1527*b + 1527*b + 242*b**2)*(2*b**2 + 6*b + 2*b - 2*b).\nAnswer: 484*b**4 + 1452*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 11  (c) 0.7  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 18746*m**3 + 11*m**2 - 4*m. Let a be t(7). Suppose 5*u - 2*o = 3*o + 1651930, 4*o = -u + 330401. Let d = a - u. Round d to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156240683 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 3 = 4*x. Calculate the common denominator of (-1 - (-38)\/(-18)) + x and (2 - ((-102)\/15 + 1)) + 0.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1242808 - -14.157?\nAnswer: -1242793.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/1)\/(-3) + 3. Let d be -1 + (g - 62\/1). Let w = -8 - d. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 561 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -187, -183, -177, -169, -159, -147?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*h = -9*h - 54*h - 122*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in three fifths of a hour?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9775.018*-0.01.\nAnswer: 97.75018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1519*b*y**3 + 393*b*y - 2*b + 5178613*y**3 wrt b?\nAnswer: 1519*y**3 + 393*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 12 = 3*n + 3, -2*i = 2*n + 10. Suppose -2*h = 6, 4*q - 6*h + 2*h - 24 = i. Suppose 5*p + 6 = z - 30, -2*z + q*p + 65 = 0. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2335996*s**4 - 10*s**3 + 874292557*s**2.\nAnswer: 56063904*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in -2\/119, 22\/9, -3, 0.3, -11, 26, -2\/11?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 5*j = 35, 0 = -4*k - 65*j + 70*j + 95. What is the least common multiple of k and 15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - 7*z + 0*z = -0 - 61, 5*z + 11410 = -3*j + 11477 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 25 + 11 = 0. What is the greatest common factor of 54 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -6*b + 940. Does 39 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m + v - 3*v - 15, 71 = 4*m + 3*v. Let d(p) = -p**3 + 17*p**2 + p + 13. What is the remainder when 118 is divided by d(m)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 6*f - 4*f. Let s = -169 + 210. Let m = s - 36. What is the remainder when f is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2626272.\nAnswer: 2, 3, 11, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2401115*b - 26412266. Give l(-11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 178 + 522 = 0. Suppose -59*h = -57*h - v. Calculate the highest common divisor of h and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -266646 + -102?\nAnswer: -266748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 272 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -2\/9, 1, -3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -2.4, 5\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -5132918 plus -847.545?\nAnswer: -5133765.545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*n - 0*n. Solve n*b - 4*b = -8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*s + 6570 = 39*s. Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 168690763 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 AM and 9:34 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 11516112 + -25?\nAnswer: 11516054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 494795.8 rounded to the nearest 10000?\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20*((-66)\/352)\/(9\/(-24)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -19 at least 5832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 223248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 16  (b) -307  (c) 2\/7  (d) 17\/3  (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 111933061 to the nearest integer?\nAnswer: 10580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 + z. Let q be s(-1). Suppose -16 = -4*k - q. Suppose -5*l + 19 = 2*j, 0*j + 4*l = 4*j + k. Solve 0 = -5*u + 5, -t - 3*u + j = -6*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*b**4 - 7770*b**3 + 3192065*b**2 - 134747340*b + 1503724820.\nAnswer: 5*(b - 754)**2*(b - 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rnqqhnnnqnrqrnrqqrnr.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-2\/37)\/(u*u**11)*u**(-2\/11)\/((u*u\/((u\/(u\/u**22))\/u))\/u*u) assuming u is positive.\nAnswer: u**(2753\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/c**(-1))\/c*(c*c\/c**(-1\/4))\/c)\/(c\/((c*c**(1\/4))\/c)*c\/(c**5\/c)) assuming c is positive.\nAnswer: c**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -2*f - 15. What is the remainder when 223 is divided by k(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -l - 1 - 5. Find the common denominator of 67\/8 and 45\/(-10) - 1\/l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 - 5*w**2 + 4*w**2 + 6*w**4 - w**4 - 2*w - w**4 to d*w**3 + f + z*w**2 + s*w + j*w**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, x: 1, m: 5, l: 3, f: 7}. What is prob of picking 1 m and 1 f?\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of -2\/245*g**7 + 1\/784*g**8 + 0*g + 34*g**2 + 2\/35*g**5 + 1\/56*g**4 - 1\/140*g**6 + 0 - 2\/7*g**3. What is x in q(x) = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 114*r**4 - 110 wrt r.\nAnswer: 456*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 6\/5 and 39\/848812.\nAnswer: 4244060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1.1 - -0.1. Let g(v) = 1613*v - 8067. Let u be g(5). Which is the nearest to 0.1?  (a) q  (b) u  (c) -2\/13  (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1068)\/38181 - 1\/(22\/(-4)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14988 + 17523. Is g a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/2)\/((-2)\/8). Let u(h) = 4*h**3 - 3*h + 2*h**2 - 3*h**3 + 0 + x. Does 2 divide u(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -19*n - 374. Determine d(-20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1 and -5.6.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 348 divide 1218348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -646 - -646.1043. Let i = -0.1 + v. What is i rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 + 11*i - 1. Determine y(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -885.3 + 964. Let r = t + -79. What is the nearest to -1\/10 in r, 4, 2\/9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a = -3*h - 3, 5*a + h + h - 17 = 0. Suppose -a*c + 3 = -2*c. Solve l = -2*l - c for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -159 = -2*s - 23. Let h = s + -56. Calculate the least common multiple of h and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 2, y: 18}. Give prob of picking 3 y and 1 u.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*b**3 + 123*b**2 - 1068*b - 2652.\nAnswer: -3*(b - 26)*(b - 17)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 35550 and 31850?\nAnswer: 22645350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(1\/11)\/l)**(-1\/15)*(l**(-4\/9))**(10\/11) assuming l is positive.\nAnswer: l**(-34\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 125710, 502831, 1131364, 2011309?\n\"Answer: 125706*g**2 + 3*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1172.6 plus -81?\nAnswer: 1091.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 69675\/50*(104\/6)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate n*q*r**3 - 3*n*q*r**2 + 2*n*r - 656*q*r + 7684*r**3 wrt q.\nAnswer: n*r**3 - 3*n*r**2 - 656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.22 + 0.08. Let n = -714\/25 + 5048\/175. Sort r, 2, n in increasing order.\nAnswer: n, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 + 41*x + 19. What is g(10)?\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 11 - 8.6. Let b = c + -0.5. Let h = b + -1.9000044. Round h to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**15*l*l*l**31*l)\/((l\/(l*(l*l**(-2\/13)\/l)\/l)*l)\/l*(l\/((l*(l**1*l)\/l)\/l))\/l) assuming l is positive.\nAnswer: l**(635\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2880.47911 rounded to the nearest 100?\nAnswer: -2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -5*((1*(sqrt(2880) + 0))**2 - sqrt(2880) - (sqrt(2880) - ((sqrt(2880) + 0)**2 + 3 + sqrt(2880)))) + 5.\nAnswer: -28812 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nbnn when four letters picked without replacement from {b: 6, n: 2, q: 4, s: 3, o: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -313 = -2*w - 3*f + 59, f = -5*w + 904. Let m = w + -144. What is the highest common divisor of m and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -877724.344 rounded to the nearest one thousand?\nAnswer: -878000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(13\/6)*q**(-2\/37) assuming q is positive.\nAnswer: q**(469\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*u - 3*u. Let b be -4*-7*(-1)\/14. Put u, 0, b in decreasing order.\nAnswer: 0, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 46433034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -2*t - 4*o + 1, -5*o = 3*t - 22. Let n = 3 - t. Is 2 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5964 + 6296. What is the remainder when m is divided by 46?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1.7, -4\/11, 0.5, 3, 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -71296 and -0.00208.\nAnswer: 148.29568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-32 + 8*s + 32)*(s + 0 + 0) - 4*s**2 + s**2 + 4*s**2)*(-2*s + 0*s + 5*s)*(-4 + 2 + 1) to n*s**3 + q*s**2 + m + f*s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2048, 308, -4356, -13390, -28240, -50352?\nAnswer: -81172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 AM and 6:13 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*t**2 - 2*t**2 + 161 - 162 - 6*t**2 to v*t + j + w*t**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -2854, -5717, -8580, -11443, -14306, -17169?\n\"Answer: -2863*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*c**3 + 14054*c**2 - 702764*c.\nAnswer: 18*c + 28108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15385273 or 15385266?\nAnswer: 15385266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -68 equal to -45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 2*z - z + 6 = 0, -2*g = -4*z - 12. Suppose o = g + 1. Let l be (o*1)\/((-12)\/(-8)). Solve -3*f + 15 = l*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 287 - 60. Let l = 131 - x. Let t = l - -115. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3.4 in -1\/2, 5, -4, -0.0639?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = 2*m - 107, 0 = -2*h - m - 2432 + 2482 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(5\/4)\/z**(-16)*z**(1\/18)*z*z*z**(-2\/49))**(-2\/29) assuming z is positive.\nAnswer: z**(-33983\/25578)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 26833\/2967 - 25309619\/3162822. Let t be (-3)\/2*-2*(-4)\/117. Let h = i + t. Find the common denominator of -97\/2 and h.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m\/(m\/(m*m*m*m\/m**(2\/9)))*m)*m**(-2\/9))\/(m*m**0)**(1\/8)*(m**(1\/2)*m**(-4\/11)*m)**20 assuming m is positive.\nAnswer: m**(1637\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5796?\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 878666.4ml to litres.\nAnswer: 878.6664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 4 = -s. Let y be (((-3)\/(-1))\/(-3))\/1. Let u be 4 - (y\/s - -2). Solve 0 = -u*z - z + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.60228605 rounded to three decimal places?\nAnswer: 0.602","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -67749*u**2*x - 11840*u**2 - 4*u wrt x?\nAnswer: -67749*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -651 + 648. Let y be (-1547)\/(-1001) - -2*w\/11. Solve y + 2 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.4?  (a) -0.5  (b) 20  (c) -28  (d) -0.229\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -147*b + 133*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-33*n - 2*n - 96*n)*(3 - 2*n + 5*n**2 - 2*n**2 - 6*n**2) - 7*n**3 + 2*n**3 + n**3 to the form m*n + f + r*n**2 + j*n**3 and give j.\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32042.\nAnswer: 2, 37, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4455.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = n**3 - 3*n**2 + n + 5. Let i(b) = -2*b**3 + 5*b**2 - b - 9. Let w(z) = 6*i(z) + 11*v(z). Let f be w(-4). What is the closest to -1\/3 in 3, -1\/7, f?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -13*i - 7. Let d be (-5)\/(-7) + i + 648\/(-252). Is -2 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -c**4 - 8471*c**3 - 18044903*c**2 - 446045929*c - 428009496 = 0?\nAnswer: -4223, -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1 + -266b9?\nAnswer: -266b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-9)\/6*16\/6. Let q be (1\/3 - (-18)\/108)*t. What is the biggest value in -3, 18, q?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 0*s + 0*s - 5*s. Let y(w) = 22*w + 4*w - 24*w. What is y(f(t))?\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbzzzbbzpzzzw. Give prob of sequence wbz.\nAnswer: 7\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(475) + sqrt(475) + ((-4 + sqrt(475) + sqrt(475))*5)**2 - sqrt(475)) - (sqrt(95)\/(sqrt(60)\/sqrt(3)) + -4).\nAnswer: -3991*sqrt(19)\/2 + 47902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 100101101101100010 (base 2) in base 5?\nAnswer: 14420331","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is 16.05921765 rounded to four decimal places?\nAnswer: 16.0592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -459.998972 - -460. Round l to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 10506 and 2040?\nAnswer: 210120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2419*u**2 - 4824*u**2 + 2420*u**2 - 5*u**3 - 15*u**4 - u**5 + 10*u - 4*u**5 = 0. Calculate u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -480, -3073, -7398, -13455, -21244, -30765, -42018?\n\"Answer: -866*d**2 + 5*d + 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 10, -5*s - 2*j + 3185 = -251. List the prime factors of s.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 279 (base 14) to base 11\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(880) + sqrt(880)*-2)\/sqrt(5) + sqrt(22)\/(sqrt(128)\/sqrt(4)))*3.\nAnswer: -45*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 104695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of (-2)\/(-6) - (-416)\/48 and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.107344 times 232?\nAnswer: -24.903808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -1\/6, 0.5, -9\/4, -3691?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2 + 2*i - 3. Let w be f(-3). Let z be 3*1*6\/(-15). Are z and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -6*h - 7 - 11 - 17 + h**3 - 18*h**2 - 7*h. Calculate the remainder when n(19) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22782 - -36756. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 4*y - 40. Find the third derivative of -31*f**2 + 6*f**3 - 30*f**5 - 4*f**3 + 25*f**y wrt f.\nAnswer: -300*f**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -884*-0.66\nAnswer: 583.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z - 39. Let a(h) = -h + 3. Calculate a(c) + d(c).\nAnswer: c - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = 3 - 23. Let l(q) = -27*q**3 + 9*q**2 + 2*q - 17. Is l(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45908302 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 762.000311 + -762. What is h rounded to 5 decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 + 49 + -8 + -16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y**3 - 6*y**2 + 48*y + 47. What is the tens digit of t(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 9*m = 75. Let y be 85\/25 - (-2)\/(-5). Suppose m = f - 4*q, 5*f + y*q = 2 + 4. Solve 3*t - 2*u + 5 = 0, -7 = 5*u + f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = 13*i + 486. Let w(j) = -j**3 - 22*j**2 + 17*j - 49. Is w(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5199.81 or 11.5?\nAnswer: 11.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (1\/(-3))\/(-8 - (-142)\/18). Suppose -b + 5 = 0, -4*s + b = -o*s - 112. Calculate the highest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is v in -4*v**4\/5 - 4652*v**3\/5 - 1350232*v**2\/5 + 1364208*v\/5 + 2709792\/5 = 0?\nAnswer: -582, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 5c1 (base 13) in base 8?\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5564475.\nAnswer: 3, 5, 7, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-40)\/(-56))\/(1070\/(-107856))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.012 take away 18229?\nAnswer: -18228.988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 120810.3 tonnes?\nAnswer: 120810300000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/(-16)*(-22)\/77?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-28))\/(1314\/(-1533)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**3 + g**3 - g**3)*(2 + 2 - 2) - 9*g**3 + 42*g**3 - 4*g**3.\nAnswer: 33*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 5:35 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -137737*q**3 - 260265 wrt q?\nAnswer: -413211*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:27 AM and 1:51 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the third derivative of -p**7\/2520 - p**6\/2880 + p**4\/8 - 2*p**2. Let g(d) be the second derivative of v(d). Determine a, given that g(a) = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 6*n - 5 = 0. Let o(a) = -2*a. Let b be o(n). Suppose -2*i + b*h - 4*h = -18, -5*i - 4*h + 45 = 0. What is the remainder when 25 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.607863 nanograms to micrograms.\nAnswer: 0.007607863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 = -5*a + 2*c, -705*a - 14 = -703*a - 2*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = u - 3. Suppose -t + 5*c = -4 - 10, t + 3*c = -18. Give k(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0 + 3. Let c(f) = f**3 - 7*f**2 - f + 10. Let u be (7\/1)\/((-1)\/(-1)). Let v be c(u). Solve v*y = -0 - j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 440*j**2 - 1286*j wrt j?\nAnswer: 880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/7*z + 2\/7 - 2\/7*z**2 - 2\/7*z**3.\nAnswer: -2*(z - 1)*(z + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2709 is divided by 1284?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 582 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1426194577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*w - 252 = 20*w. Let m = w + -46. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0 + -1. Let h(x) = 306*x**2 - 50 - 307*x**2 - x + 136 - 44 + 15*x**3 - 43. What is h(d)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*s - 2*s + 0*s + (s - 1 + 1)*(2 - 7 + 0))*(-2 + 5 - 1) to the form h + w*s and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 10\/(-3)*12\/(-10). Let r(c) = c - 2. Let q be r(n). Suppose -3*m + 3*o = -6, -q*m + 4 = -3*o - 2*o. Solve -m*x - 10 + 2 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 179042 - -133651. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 13*c. Suppose -p + 0 = j + 1, 2*j - 5*p - 19 = 0. Let d be 6 - (2\/j + 1). Let o(h) = -2. Let r(q) = q - 4. Let y(l) = d*o(l) - 2*r(l). Give y(i(u)).\nAnswer: -26*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(90)\/(sqrt(6) + sqrt(18)\/sqrt(3)) - sqrt(15))*-4)\/(-6*(sqrt(245) + (sqrt(245) - sqrt(245)*-2)))*-5.\nAnswer: 5*sqrt(3)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1529 - -3194. Suppose 4*j - f = -j. Suppose j = -5*r + 1348. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**2 + 21*n - 21. Let l be u(-8). Let v = 65 + l. Which is the second biggest value?  (a) 0  (b) v  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 730266 and 21?\nAnswer: 5111862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (273154\/(-2507) - -109) + 149\/276?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 + 6 + 7 - y - 6 in the form b*y + j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 44438\/7 or 6347?\nAnswer: 44438\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**2 + 28*i + 10. Calculate d(-3).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-27)\/y)\/(y*y\/(y\/(y\/(y\/(y\/y**(-11\/4)))))))**(1\/2) assuming y is positive.\nAnswer: y**(-131\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 706?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 316*l - 201*l - 483*l - 555*l as n*l + h and give n.\nAnswer: -923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1.5923  (b) 2\/5  (c) 3\/44  (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1.65  (b) 0.6  (c) 1\/86044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 296357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide (53 + 4)*2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -100, -233, -366, -499, -632, -765?\n\"Answer: -133*w + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 + l**2 + 0*l**2)*(40 - 47 - 2*l + 3*l).\nAnswer: 2*l**3 - 14*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-seven fifths of a millisecond in microseconds?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 64742 is divided by 4504.\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.271 + -830.271. Let r = t + 829.9563. What is r rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i**2 + 11316*i + 32012964 = 0. Calculate i.\nAnswer: -5658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120 - 120 + 40*p + 69*p.\nAnswer: 109*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 130184600 by -50.\nAnswer: -2603692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*g**4 + 3*g**3*y**2 - 8424*g**3 - 8*g**2*y**2 + 8*g**2*y + g - 995*y**2 wrt g.\nAnswer: -216*g + 18*y**2 - 50544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/((-14)\/7*-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 less than -10.2?\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-18 + 8 + 3*w + 5)*(1 - 3 + 0)*(106*w - 213*w + 93*w) as k*w + i + f*w**2 and give f.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 878 divide 4147672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 191, 287 in descending order.\nAnswer: 287, 191, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 162296 is divided by 128.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (144\/(-10))\/((-20082)\/75). Let y = 475177\/682788 - p. Let u = y + -7\/12. Is 0 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence upu when three letters picked without replacement from {p: 4, u: 2, k: 3, g: 2, m: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 10699 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -71*q + 99 - 28 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.68 less than -442.044?\nAnswer: -442.724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.02 - 3.98. Let z = -1 + -2. Let u = z - w. Sort u, 5, -4 in decreasing order.\nAnswer: 5, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-35)\/(-315) - (-106)\/18. Is (26382\/(-8))\/((-1)\/8*h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(544)*5*-6*-2)\/(4*(sqrt(2) - sqrt(6)\/sqrt(3)) + 4*(sqrt(2) - (sqrt(2) - sqrt(2)*-3))).\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20580 and 700?\nAnswer: 102900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 6*v - 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 14*v + 11949. Is c(-156) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 f, and 1 s when three letters picked without replacement from sdufx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -p - n + 141, 2*p + 9*n = 10*n + 276. Calculate the remainder when p is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/(-4) - (-20)\/(-10) and -117\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2312.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -77109*k**3*m**3 - k**3 + k**2*m + 32390*k*m + m**3 wrt m?\nAnswer: -462654*k**3*m + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -2447*-0.06\nAnswer: 146.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 17*i**2 - 34*i - 410. What is the hundreds digit of w(28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.828732 to 3 decimal places.\nAnswer: 2.829","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = i - 3*i. Let r be ((9\/(-6))\/((-48)\/(-128)))\/6. Suppose -2*g + q = g - 11, -3*q - 6 = 0. Which is the closest to i?  (a) g  (b) r  (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.9 and 23.28.\nAnswer: -44.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(10))\/sqrt(2) + 0.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -26711744 (base 8) in base 14?\nAnswer: -b23284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 312379 and 47519?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by 34710?\nAnswer: 2\/17355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:00 PM and 1:12 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 42\/43 - 213\/86. Which is the biggest value?  (a) 4  (b) 0.32  (c) n  (d) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 4*s + 27 = 3*y, 5*y = -s + 58. Sort -1, y, 0 in descending order.\nAnswer: y, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9906125 by 19.\nAnswer: 521375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) -3\/5  (c) -14  (d) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/17  (b) 0.09  (c) -143352\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -18 - (93 - 65)) + 43.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 11 + -9 + (7 + -5)*-3. Which is the closest to -0.1?  (a) -2\/7  (b) 4\/139  (c) -1\/5  (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 minus 660028139?\nAnswer: -660028144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 12855 and -5?\nAnswer: -64275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1))**(-13)*h**(-2\/37)*h*h*h**(-2\/13) assuming h is positive.\nAnswer: h**(7115\/481)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together -3412 and -67886.3677.\nAnswer: -71298.3677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27 + 37 + 20 - 38.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 0 + 2*l + 3 - 1.\nAnswer: 2*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -162*w**2 - 9*w + 9. Let t(l) = 81*l**2 + 5*l - 5. What is 5*t(d) + 3*z(d)?\nAnswer: -81*d**2 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + -2. Suppose 11*d - 40 = 3*d. Solve d*g = -3*s + 5, -y*g + 14 = -2*s - 3*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-4)\/(-2) - 167)*(-104)\/104 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.19 - -0.03. Let q = -0.045 + 3.205. Let o = q + f. Sort o, 0, -4 in increasing order.\nAnswer: -4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 780.9769ml?\nAnswer: 0.7809769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1683 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the first derivative of 11*z**7\/210 - 3*z**6\/50 - z**5\/50 + 20*z + 11. Let a(m) be the first derivative of p(m). Factor a(v).\nAnswer: v**3*(v - 1)*(11*v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 43*o + 898*o**2 - 446*o**2 - 448*o**2 as u + l*o**2 + v*o and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23 - 6 - (-5 - -28)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00025759 to five decimal places.\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*d - 0*d. Let v be (1 - 0)*(d - 2). Suppose -x + 9 = -v*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence imdd when four letters picked without replacement from dkikrirmvddmmk?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ututtuutttudtuuduut. Give prob of picking 2 u and 2 d.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43981.\nAnswer: 7, 61, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2839*m - 17084*m + 2848*m + 2842*m + 2845*m + 2862*m + 2846*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -23*c + 180. Let b be m(24). Let r = 377 + b. Suppose 0*f + 8 = 2*f. Put 2, f, r, -4 in decreasing order.\nAnswer: r, f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -95 - 7 = -51*v. Solve -3*g = v*s - 22, 0 = 19*s - 14*s - 2*g - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) be the third derivative of -w**6\/120 - 3*w**5\/20 - w**4\/12 - 2*w**3 + 9*w**2. What is h(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 96 = 11609*w - 11617*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -653, -1299, -1943, -2585, -3225, -3863?\nAnswer: -4499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*i**2 - 2*i**2 + 0*i**2 + 0*i**2 - 4*i**2 - i**2 + (-2*i - 2*i + 3*i)*(1 + 2*i - 1) + 2 - 3*i**2 - 2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 587733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r**3 - 14*r**2 + 14*r - 17. Let p be g(13). Let m be (p\/12)\/1*-6. Suppose -m*d = -14 - 22. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -226\/27, -4, -1\/2, -6\/43?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -115, -229, -343?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*j**4\/2 + 293*j**3\/2 + 560*j**2 - 82*j - 1320 = 0. Calculate j.\nAnswer: -22, -4, -2, 15\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*a + 15 + 45 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (4 - 5)*(1 - 9). Is (4 + z)\/(4\/14) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17.5 + -17. What is the fourth biggest value in 2\/9, m, 3, 2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(720) + -1 + (sqrt(720) + 0)**2 - ((-1*sqrt(720))**2 + -4)).\nAnswer: 5 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that d**4\/2 + 43*d**3\/2 + 170*d**2 - 1344*d + 1152 = 0.\nAnswer: -24, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16925.37 - 464006708.\nAnswer: -463989782.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 11454 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:59 AM and 6:29 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.3, -0.1, -611, -0.4, -4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 4*sqrt(1088)*-1*4 + -1*(sqrt(1088)*1 + -3).\nAnswer: -136*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1144, 2283, 3422, 4561, 5700, 6839?\nAnswer: 7978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + 1 - 3) + 3. Let s(c) = 7*c - 13. Let g(p) be the first derivative of -3*p**2\/2 + 6*p - 1166. Calculate q*s(r) + 5*g(r).\nAnswer: -r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.1, -116, -10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (21 - (0 + 0)) + -2 + 32 + -37\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -46.99 + 4.99. Let l = w + 40. Let z = 4 - 4.3. Which is the closest to z?  (a) -0.4  (b) 3\/5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*w + 16*w + 57*w + 90. Put -5, w, 47 in increasing order.\nAnswer: -5, w, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j**2 + 4*j + 43. Give d(-6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*v + 39 = -32*v. Suppose 2*z + 6 = 4*z - v*x, 5*x = -z + 3. Solve -z*s = -3*l + 23 - 2, 0 = -5*l - 3*s + 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 8*q**2 - 50*q + 11. Let w(j) = 22*j**2 - 150*j + 30. Calculate -8*p(i) + 3*w(i).\nAnswer: 2*i**2 - 50*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 339702 = 50*o - 17*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-3 + (sqrt(539) - (sqrt(539) + 1 + sqrt(539) + sqrt(539) + -2 + sqrt(539))))**2.\nAnswer: -9710 - 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and (17\/((-102)\/36))\/3 + 78.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 806 = 2*z, -168 - 46 = -r + 2*z. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in -48652, -2\/5, -3\/4, -0.1, 0?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 - 8*k**2 + 14*k + 7. What is p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y*y\/y**(-1\/5))*y))**27)**(1\/14) assuming y is positive.\nAnswer: y**(81\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 50.9934 - 51. Round n to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2336, -2293, -2222, -2123, -1996, -1841?\n\"Answer: 14*z**2 + z - 2351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -17 - 12. Let x be (-7 - -3)\/(6\/(-87)). Let l = u + x. Round l to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l + 4 = -10*l. Let a = 57 - l. Let n = a - 48. Solve -x - n*w + 0 + 5 = 0, -3*x + 5*w - 5 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q - 155*q**2 + 44*q**2 - 50*q**2 + 0*q + q**4 + 3*q**4 to z*q**3 + c*q + m*q**2 + g*q**4 + d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -20879 + 20882. Which is the nearest to -3?  (a) -4  (b) i  (c) -0.35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 242\/120 + 12\/(-20) and 145\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(2736) + -1 + 0 - (sqrt(133) - (6*2*sqrt(133) - sqrt(133)))\/(sqrt(42)\/sqrt(6)*-4))*-1)**2.\nAnswer: -19*sqrt(19) + 6863\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 61911.47 grams in micrograms?\nAnswer: 61911470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18304755*l**2*q - 2*l**2 - 4*l - 28*q + 11445608 with respect to l.\nAnswer: -36609510*l*q - 4*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2584*c**2. Let k(o) = -o**2. What is v(k(t))?\nAnswer: 2584*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 122409 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1f71 (base 16) to base 15.\nAnswer: 25b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -x**2\/6 + 5652561*x + 33915369\/2 = 0. What is x?\nAnswer: -3, 33915369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 222 = b + 11. Let x(z) = z - 4*z + 2*z**2 + 4*z - 2 + b*z**3 - 5962*z**3. Let v be x(2). Round v to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3789?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u - 5*u - 10 = 0. Let k(m) = m**2 + m - 3. Let j be k(u). Let x = 42 - j. Solve -2*c - x = -7*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*l + 0*l - 6*l + 5*l**2.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 g when two letters picked without replacement from {e: 2, b: 1, o: 1, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zzzzbzzgn. Give prob of sequence zzzb.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 6*y = -2*y. Is 4\/23 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/3?  (a) 4  (b) 1.1  (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jl when two letters picked without replacement from {e: 1, l: 2, w: 10, a: 1, j: 4}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1134457349.0967 + -1134512142. Let i = z - -54788. Let j = 4.9 + i. What is j rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/6*(-873)\/(-194)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwjwwjjwjj. What is prob of picking 4 w?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the third derivative of v**6\/120 + v**5\/60 + v**4\/24 + v**3\/6 - 18*v**2. Let m(z) = 8*z**3 - 6*z**2 + 14. Let s(x) = 2*m(x) - 36*p(x). Factor s(n).\nAnswer: -4*(n + 1)**2*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*o + 75*o - 109*o)*(-o**3 + 3*o**3 + 0*o**3).\nAnswer: -126*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -k**2 + 766*k - 16248. Calculate the remainder when r(22) is divided by 5*(68\/10)\/1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 107 + -175. Suppose 95 = -5*g - 4*n - 11, 0 = -g + 3*n - 6. Let m be s\/(-6) + (-12)\/g. Solve 0*b = 4*b - m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3.31 + -3.21. Suppose 2 = 2*u - u. Suppose 0 = 4*x + w + 3*w + 4, -4 = -u*w. Which is the second smallest value?  (a) i  (b) 0.3  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = 7*h - 6*h**2 - 21*h - 7*h. Let a(q) = 3*q**2 + 10*q. Let x(w) = 13*a(w) + 6*k(w). What is the second derivative of x(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -3*a + 4. Let t be g(-4). Let v be -9 - (1 - (2 - 0)). Let b(n) = n**2 + 3*n + 8. Let r be b(v). What is the greatest common divisor of r and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - q**2)*(2*q**3 - q**3 + 0*q**3)*((-1 - 1 + 0)*(-8 + 73 - 144) + 0 - 2 + 1).\nAnswer: -157*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjggggjjjgggj. What is prob of picking 2 j and 1 g?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 4750 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**6\/l*l\/l**4)\/((l*l*l**(1\/4))\/l)**(-1\/12))**(1\/9))**(-37) assuming l is positive.\nAnswer: l**(-3737\/432)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 326372, 326489, 326632, 326813, 327044, 327337, 327704?\n\"Answer: 2*i**3 + i**2 + 100*i + 326269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w + 2*w. Suppose 3*c + u - 21 - 13 = w, -5*c + 4*u + 68 = 0. Suppose 4*r - 4*a - c = 0, -2*r = -0*r - 5*a + 3. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -7*j**2. Let t(x) be the third derivative of 0*x**3 + 0 + 0*x + 24*x**2 + 5\/24*x**4. Calculate t(c(s)).\nAnswer: -35*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1002*k**3 - 262 + 45 - 126*k**3 - 291*k**3 wrt k.\nAnswer: 1755*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 15*x**2 + 19*x - 30. Let z(a) = 4*a**2 + 5*a - 8. Determine -6*t(o) + 22*z(o).\nAnswer: -2*o**2 - 4*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -83833\/12270 + -2\/2045. Suppose 600 = -3*k - 2*j, 2*j - 191 = 5*k + 825. What is the common denominator of (1 + -2)*k\/8 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -44083234.9 rounded to the nearest one thousand?\nAnswer: -44083000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -5 times 1832.36\nAnswer: -9161.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*1813.\nAnswer: 7252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 36 + 0*(3\/(-2))\/(-3). Let k = b - 26. Let u = 18 - 9. Which is smaller: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 2*w**2 - 4*w + 5. Let m be 4\/(-6 - (-12 - -4)). Let b(x) be the second derivative of -2*x**m - 1\/12*x**4 - 3*x + 0 + 1\/2*x**3. Give -4*b(k) - 3*d(k).\nAnswer: -2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32, -31, -14, 19, 68, 133, 214?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1608425428?\nAnswer: 2, 402106357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 121*u - 7879. Let z be v(71). What is the greatest common factor of z and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 69\/7504 and -119\/40?\nAnswer: 37520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.7 + 2.6944. What is f rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) be the first derivative of -o**6\/300 + o**5\/50 - o**4\/20 + o**3\/15 + 3*o**2 + 6. Let l(y) be the second derivative of c(y). Solve l(u) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 87.44 + -87. Let l = f + -0.4399993. What is l rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -88.005 - -88. Let y = h - -0.0050032. Round y to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -822, 32.\nAnswer: -822, 7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 256 - 250 = -6*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 303052 (base 6) in base 12?\nAnswer: 11a88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (47 - (-48 + -16 + -40)) + -18\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 792500?\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91145 is divided by 4900?\nAnswer: 2945","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 7658 = 4*k. Suppose -107*x + k = -93*x. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**2 + 10*u + 17. What is d(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 170589530.\nAnswer: 2, 5, 3061, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from ebelgbc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/(-9)*3\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/97 in 1\/7, -2, -1\/13, 2685\/16?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 3*y - 94, -y + 5*s + 1 = -24. List the prime factors of 15\/y + 770\/4.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.75 + 0.8. Let j = -0.05 - n. Let f = -7\/37 - -139\/148. Which is the biggest value?  (a) f  (b) 0  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1408279 by -10.\nAnswer: 1408279\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*7\/42*12?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -y + 2*d - 28, y - 7 = -2*d. Suppose -x + 110 = 5*u, 4*u + 5*x = u + 88. Calculate the greatest common factor of y and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1107*x + 221694 = -487*x - 3979*x for x.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 185 + -188 - (1 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58 - ((3 - 15) + 3 - -44)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 3*l - 15. Let f be 3 - (2 - (7 - l)). Suppose 0 = -0*a - a + f*x + 8, -2*a = 2*x - 4. Calculate the highest common divisor of a and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/6)\/((41\/246)\/((-5)\/15))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve v + 9 = 4*i, 6 = 5*v + 2*i + 7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = 5*n + 1, 5*u = 5*n - 2280. Let z = 1215 + u. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 3*w. Let p be n(-2). Let r be 16\/(-60)*(1 - p). Sort r, 4, -2\/5 in decreasing order.\nAnswer: 4, -2\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is a + -399a0?\nAnswer: -39992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + -75?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 60.28691ug?\nAnswer: 0.00006028691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1101110011000100 + -101111011?\nAnswer: -1101111000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -47810439\/7 + 6900791. Let d = 70548 - n. Let r = d - -180. Which is the smallest value?  (a) -0.3  (b) 0.1  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*i - 3*j - 18, 4*i + 3*j = -5 + 59. Let b be (66\/4)\/(1 + (-15)\/i). Let g = b + 68. Solve g*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 24 and 3.6892346.\nAnswer: 27.6892346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 AM and 6:39 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-4\/3)\/l**(-1\/11) assuming l is positive.\nAnswer: l**(-41\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16189 + -113328\/7. Let a = 0 + 0. Let h = -17 - -12. What is the third biggest value in a, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-12)\/10)\/((-546)\/1183*117\/(-1530)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.01 + -0.11. Let i = -0.05 + 2.05. Let k = 0.1 + -0.1. Which is the nearest to x?  (a) i  (b) -3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f - 2 + 2*f - 3*f)*(0*f**3 + 0*f**3 + f**4).\nAnswer: 2*f**5 - 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**2)\/c**7)\/((c**(-1\/5)\/c)\/c**(3\/7))*((c**7*c*c)\/c**(-10))**(-7) assuming c is positive.\nAnswer: c**(-4738\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 13*i - 3*i + 1 - 8*i + 5 - 2*i + 1 - 4 + (0 - 1 + 2)*(4 - 4 - i).\nAnswer: -i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a**2. Let g(s) = 3*s + 87. What is g(x(p))?\nAnswer: -3*p**2 + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5906.000008302 - -5906. What is h rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1008)\/(-280)*(-7 - (-145)\/(-15))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21629937 plus 139?\nAnswer: 21630076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 53 + -52. What is the closest to 0 in g, 1\/7, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 764069.\nAnswer: 97, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 128 = -6*b + 2*b. Let f = -16 - b. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y = -5*i + 303591, 301339 + 2268 = 5*i + 3*y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1460 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 1\/13, 0.2, 0.17, 1, -3\/2, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -323.7 - -1.7. Are 2\/13 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.17*0.296\nAnswer: -0.05032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = -5*x + 8. What is the second biggest value in -1.5, 1, x?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 234 divide 4996423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-10)*-6)\/(4\/30). Solve y = -2*d + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2219.827 rounded to the nearest integer?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5182723?\nAnswer: 7, 13, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.2 + 0.3. Let u(m) = -m - 3. Let a be u(-4). Let n = a - 4. Is r greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -4*b**2 - 5*b + 5. Let o(n) = -n**2 + 11*n + 5. Let p be o(11). Let r(i) = -5*i**2 - 6*i + 6. Calculate p*r(d) - 6*w(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -233 - 14?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 912 and 432.\nAnswer: 8208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 22831, -0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -3) + -9 + 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*c**4*f**3 - 1326571*c**3*f**3 - c**3 - c**2*f**2 + 843*c*f**3 + 3*f**3 + 7*f wrt c.\nAnswer: 48*c*f**3 - 7959426*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(28*-1))\/((-5)\/(35\/(-7))).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by -36229\nAnswer: 3\/36229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 116063 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2b (base 16) in base 3?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*l**5 + 2)*(0 - 1 - 1)*(1 + 0 + 1) + 124*l**3 + 18*l**5 - 124*l**3.\nAnswer: 26*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m + g + 1, 2*m = 4*m - 3*g. Suppose 4*v - 21 = 5*s, -m*v + 11 = 2*s - s. Suppose -u + 5*x + 1 = 0, u = -v*x - 0*x + 37. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 1 - 5 + 2*q**2 + 7 + 1 + 0. Let v(k) = 2*k. Determine v(d(w)).\nAnswer: 4*w**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**0*y*y*y**(-1\/3)*y)**5\/((y*(y**(-1)\/y)\/y)**28)**44 assuming y is positive.\nAnswer: y**(7447\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i + 10. Let y be b(-6). Calculate the common denominator of -36\/115 and (y\/(-28))\/(4\/176).\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 350869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + 162*d**2 + 589*d - 5439. Calculate g(-158).\nAnswer: 1355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-207)\/(-92)*(1 + 3\/9). Solve k - 3*g - 12 - 4 = 0, -15 = h*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 80 a factor of 143891360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.9 - 121.28829456418.\nAnswer: -125.18829456418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -240.575?\nAnswer: 721.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide -168448 by -376.\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of 37*n**4 + 29 - 1292\/3*n**3 - 722*n**2 + 0*n - 4\/5*n**5. Solve l(v) = 0 for v.\nAnswer: -1, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of 13*x**6\/6 - x**2\/2 - 23. What is the second derivative of l(g) wrt g?\nAnswer: 260*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 91 + 41 = 12*c for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 21021 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j**4\/2 - 213*j**3 + 9498*j**2 - 131979*j - 283383\/2 = 0.\nAnswer: -1, 37, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2311 and 7011812033.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/245946 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = 3*j - 360. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -49 - 200.4. Let o = 249 + t. Put o, 4\/7, 0 in decreasing order.\nAnswer: 4\/7, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 - 1. Let c(x) = -2*x**3 - 5*x**2 - 2. What is -c(b) - 2*n(b)?\nAnswer: 2*b**3 + 3*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -3*t**3*w**2 - 4*t**3*w + 2*t**3 - 20*t - 37*w**2 - 10 wrt w?\nAnswer: -6*t**3*w - 4*t**3 - 74*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3705 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1163*r**2 + 862*r + 1 wrt r?\nAnswer: -2326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 3*r + 3 = 0, 2*h - 4*r = 4*h + 6. Suppose -60 = -h*i - 6. Let d be (16\/(-12))\/((-3)\/i). What is the highest common divisor of 24 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 557 minutes before 5:21 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 4*i - 20, 2*i - 6 = -4*y + 2*y. Let c be 9\/((-54)\/y)*-3. Solve 9 = c*d - 7*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 504 and 252.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 19 + -19. Suppose -2*f + 10 = -0*f. Sort f, t, -5 in descending order.\nAnswer: f, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7168 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 3. Let z = -13 - -16. Factor -d**4 + d**2 + 0*d**i + d - 2*d**z + d**3.\nAnswer: -d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -11027028316 less than -0.5?\nAnswer: 11027028315.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*d**2 + 0*d**2 - 20507*d**3 + 41011*d**3 - 3*d**2 - 20506*d**3.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5\/2*w**4 + 7\/2*w**2 - w - 9\/2*w**3 - 1\/2*w**5 + 0.\nAnswer: -w*(w - 2)*(w - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -33*d**3 + d**2 - 3*d - 8. Is a(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r**(-2\/3)\/r*(r*r\/(r**8*r)*r)\/r)\/((r\/(r\/(((r**5\/r)\/r)\/r)))\/(r**(1\/7)*r)))**(34\/3))**(17\/5) assuming r is positive.\nAnswer: r**(-23120\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2213 smaller than 2212?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -570 - -618. What is the highest common divisor of 7848 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3158.967696 - 3934.7102. Let h = 850.7423 + o. Let z = -75 + h. Round z to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 7579, 7605, 7631, 7657, 7683?\nAnswer: 7709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 366714.648 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(-11))\/u**(-10\/7)*u**3\/(u\/u**(2\/3)) assuming u is positive.\nAnswer: u**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2. Let h(m) = -3*m**2 + 10*m - 1. Let b(k) = h(k) - 2*o(k). Let s be b(8). Is 15 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.2  (b) 0.3  (c) 4  (d) 14  (e) -34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p**2 - 76*p + 112. Let j be n(37). Solve 0 = -5*u - j + 28 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -23*f - 12. Let t(y) = 24*y + 11. Let m(r) = -3*b(r) - 2*t(r). What is the first derivative of m(h) wrt h?\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-12)\/y)**(-25)*(y*y*y**28)\/y*y\/y**(-1\/33) assuming y is positive.\nAnswer: y**(11716\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*j + 3*j + 3*j)*(-41*j**2 + 7*j**2 + 4 - 5) as c*j**2 + y + x*j**3 + r*j and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y. Let r(k) = -2*k + 113. Determine w(r(l)).\nAnswer: 4*l - 226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 25\/5523  (b) 1\/120  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 35*l - 3040. Let r be g(87). Sort -1, -2, r, 98 in descending order.\nAnswer: 98, r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 77413593*i**3*l**3 - 3*i**3*l**2 + 7692724*i**3 - i**2*l**2 wrt l?\nAnswer: 464481558*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1218\/(-464) - 4*(3\/4)\/(-1). Let l(n) be the first derivative of 3*n**2 + 1\/2*n**3 - 6*n - h*n**4 + 8. Determine o so that l(o) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g - 3. Let y be a(-9). Solve -4*p + 3*l = -2, -4*p - 3*l = -4*l - y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3669374 divided by -13?\nAnswer: 3669374\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**3 + 7*v**4 - 9*v**4 - 3 - 4*v + 2*v**3 + 8*v**2 - 3.\nAnswer: -2*(v - 3)*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 66\/9*(-3)\/2. Let a be w\/(-5) + (-3)\/15. Suppose -3*j = -a*j - 6. Solve 4*g - q + 1 = j*g, -g - 7 = -2*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 8 - 8*x**2 + x**3 + x**2 + 10 - 8. Is s(7) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15 - -20. Put x, -12, -4 in increasing order.\nAnswer: -12, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7 + 171*g - 2*g**2 - 83*g - 90*g + (3*g + 2*g - 13*g)*(-2*g + 5*g - 5*g).\nAnswer: 14*g**2 - 2*g - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in sixty-one quarters of a week?\nAnswer: 2562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -18418, -36826, -55226, -73618?\n\"Answer: 4*o**2 - 18420*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 8915.33 millilitres?\nAnswer: 8.91533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6773759\/456 - -14855. Calculate the common denominator of q and -49\/248.\nAnswer: 14136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 410 and 16?\nAnswer: 3280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -157\/3748542 and -19\/1249514?\nAnswer: 3748542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 120164, 238611, 357056, 475499, 593940?\n\"Answer: -f**2 + 118450*f + 1715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1027064, 2054032, 3081000, 4107968, 5134936, 6161904?\nAnswer: 7188872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-1 + (-2)\/(-2)). Suppose 0 = -4*o - 2*d + 4, 2*o + 2*o - 5*d + 10 = z. Let w be (4\/12)\/((-3)\/(-1)). Sort -2, w, o in decreasing order.\nAnswer: w, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - x + 154, -62 = -p - 5*x + 10*x. Calculate the least common multiple of 2\/(-6) - (-763)\/21 and p.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*k + 4*f = -26*k - f + 14, -4*f + 299 = 319 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 6, z: 2}. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that r**2 + 264874*r - 794631 = 0.\nAnswer: -264877, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 11633 - 11633 - 354*f as y*f + m and give y.\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d*d**(-4\/9)*d)**(-50) assuming d is positive.\nAnswer: d**(-1150\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7 - -11)*((-3)\/(-4))\/1. Solve 5 = -z*g - 0*g + t, 0 = -g + 2*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = 4*k - 2*r, -k + 3*r - 18 = -2*k. Let m be 4\/(-3)*k\/2. Let w be (-4)\/39*6\/m. What is the third smallest value in w, -1\/6, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5240*b**2 + 4784*b**2 + 3765*b**2)*(2*b**2 + 2*b**2 - 3*b**2) in the form z*b**4 + i*b**3 + t*b + d + a*b**2 and give z.\nAnswer: 3309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26875.00071258 - 26875. What is t rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of 23*x**4\/8 + x**3\/6 + 51*x**2. Let l(h) = -h. Calculate l(g(j)).\nAnswer: -69*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29318 + -7459. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 20 = -n, -2*n = 188*r - 186*r - 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2631 + 3705. List the prime factors of n.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (-2 - -4) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 7:50 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2020048225 and 0.142.\nAnswer: 2020048225.142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = 4*u - 2. Let m(x) = -4*x**2. Give m(f(c)).\nAnswer: -64*c**2 + 64*c - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 AM and 5:40 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3696 divided by 48.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 39 a factor of (56\/(-70))\/((-1)\/110)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/(-6) + 1923\/6 + 9. What is the highest common divisor of 235 and y?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101001100111000 + 11000100110?\nAnswer: 11101100101011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 80*k**5 + 21475*k**3 + 2*k**2 - 40439*k + 7?\nAnswer: 4800*k**2 + 128850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*j - 447 + 483 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -49 plus 0.42?\nAnswer: -48.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - w**2 - 5796*w - 1 + 5796*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -20*d**2 - 23*d - 32. Determine s(-1).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 6*x + 213 = -17*x, -459 = c - 2*x - 500 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9569, -7774, -5979, -4184, -2389?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 53 divided by -29?\nAnswer: -53\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -113.223 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 716894.\nAnswer: 2, 358447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 2*z - 190, -p - 4*z = -0*z - 30. What is the highest common divisor of p and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 28 + -59. Let j = 33 + b. Let o = 24 + -19. What is the third smallest value in j, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that 2*h**2\/11 + 1997176*h\/11 - 237692266\/11 = 0.\nAnswer: -998707, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6610 + 6609. Which is the biggest value?  (a) 1.4  (b) 0.02  (c) s  (d) 0.3  (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3796, -119, -5, -2 in increasing order.\nAnswer: -3796, -119, -5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4345, 8689, 13033, 17377?\nAnswer: 21721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -151*m + 3231. Determine l(22).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(343) - (sqrt(343) + 2)) + -2 - sqrt(343)) + -5 + -2*sqrt(343))**2.\nAnswer: 378*sqrt(7) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 71.784257 + -1484\nAnswer: -1412.215743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h + 4 - 2 + 2. Let k(o) = o**2 + 5*o + 2. Let m be k(-6). Let t(s) be the first derivative of -3*s**2 - 11*s + 4. Calculate m*g(z) + 3*t(z).\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r - 1. Let i(x) = 5*x + 6. Calculate 2*b(p) + i(p).\nAnswer: 3*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/36  (b) -2\/23  (c) 2.3  (d) 0.02  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 1268098 (base 12) to base 15\nAnswer: 4b82be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -10*d**3 - 2*d**2 - d. Does 6 divide a(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -5*f + 28. Let l be v(7). Let i(x) = 10*x**2 - 7*x + 7. Let d(a) = -3*a**2 + 2*a - 2. Calculate l*d(b) - 2*i(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 33*p**2 - 130*p + 611. What is the thousands digit of j(48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 32447 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000002039881247 rounded to 7 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.05, 1\/31, 0, -0.48 in descending order.\nAnswer: 1\/31, 0, -0.05, -0.48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 - -13745530960823\nAnswer: 13745530960823.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0.4, 17\/5, -12, 9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1770)\/(-4248))\/((-3)\/16*-10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 + 14. Which is the third smallest value?  (a) y  (b) 0.4  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 96 divide 915936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v**3 + 3*v**2 - 28*v + 135. Let p be f(4). What is the nearest to 0.1 in -2\/9, p, -1\/6, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2.6 or -0.662?\nAnswer: -0.662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -54, -86, 48, -4, 26, 4.\nAnswer: -86, -54, -4, 4, 26, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 PM and 5:08 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23*c - 333*c**3 + 23*c - 695*c**3 + 665*c**3 - 3635*c**3.\nAnswer: -3998*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(0 + (sqrt(243) + -4 - sqrt(243)) + 3 - -3*(sqrt(243) + 3 + 2 + sqrt(243)))**2*2.\nAnswer: 12096*sqrt(3) + 71552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 32219896 divided by 4.\nAnswer: 8054974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -118.46775 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9540 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 11 + 11 + 14 + 34 - 66*q**3 with respect to q.\nAnswer: -198*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 1\/16, -5, 0.01 in ascending order.\nAnswer: -5, -0.3, 0.01, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -347031*g*y**4 + 3*g*y**3 - 14*g*y**2 - g*y + 578*g - y**3 - 2*y**2 + 60*y wrt y.\nAnswer: -8328744*g*y + 18*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**5 + 4 - 4 + (0 - 3 + 2)*(53*g**5 - 34*g**5 - 34*g**5) + 7*g**5 - 3*g + 4*g - 6*g**5.\nAnswer: 14*g**5 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 0.5, -5, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8465162?\nAnswer: 2, 4232581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10557, 21115, 31673, 42231, 52789, 63347?\nAnswer: 73905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mssiimmimmmmiimmmi. What is prob of sequence im?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -73371 plus 6.4?\nAnswer: -73364.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 9\/27*9\/(-8). Sort 1, 2, h in decreasing order.\nAnswer: 2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -1*sqrt(300) - 4*(1 + sqrt(300)) - (-1*sqrt(300)*-1 + -2))*4*3)**2.\nAnswer: 34560*sqrt(3) + 1555776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, k: 1, t: 1}. Give prob of picking 1 t and 1 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-245)\/294)\/((-54)\/(-1944)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -6738, -9934, -13142, -16368, -19618, -22898?\n\"Answer: -v**3 - 3189*v - 3548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - (-1 - 103)) + -261 + (-128 - -407)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 + -0.1. Let x be 21\/49*-7 - 12. Put t, x, -2\/7 in descending order.\nAnswer: t, -2\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17 - 26*y**5 - 17 + (5*y**4 + 0*y**4 - 3*y**4)*(-4*y - 25*y + 66*y + (-3*y + 3*y - y)*(0 - 3 + 1) + 0*y + y + y).\nAnswer: 56*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:21 AM and 1:39 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -35\/2 - -18. Let s(z) = z - 2. Let v be s(5). Suppose 0 = 5*j + 5*d, 2*j - d - v = -0*j. Is j greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4627800 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bvbk when four letters picked without replacement from {b: 2, w: 4, z: 4, v: 1, k: 1, y: 3}?\nAnswer: 1\/16380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of 0*w**3 + 0*w**4 - 7 + 0*w + 8\/5*w**5 + 1\/2*w**2. Find the second derivative of m(h) wrt h.\nAnswer: 96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2\/11)\/h)\/h**1)\/(h*(h\/(h\/(h*h*h*h\/(h*(h*h**(-2\/21)\/h*h)\/h)*h*h)))\/h*h*h*h\/((h*h\/((h\/h**(-6))\/h)*h)\/h)*h) assuming h is positive.\nAnswer: h**(-3529\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 820395604.\nAnswer: 2, 7, 19, 81163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (186\/(-4))\/(33\/(-44))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127194 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 836358472, 836358460, 836358434, 836358388, 836358316, 836358212, 836358070?\n\"Answer: -f**3 - f**2 - 2*f + 836358476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-16)\/(-168))\/((-4896)\/168 + 40)?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the third derivative of 1\/120*a**5 - 1\/6*a**3 + 1\/48*a**4 + 0 + a**2 + 0*a. Solve x(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (496\/(-2790))\/((-8)\/(-3))*117\/(-143).\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -432311302 (base 5) to base 15.\nAnswer: -264a52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(4\/(-8))\/(3\/6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a = 11 + 61. Let g = -2.8 + 1.97. Let b = -0.17 + g. Is a at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6 - -10. Suppose -5*c = -24 - 1, n*r = -4*c - 4. Let u = r + 16. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = k + 5*h - 77, 139 = 2*k - h. Suppose -2*y = -3*m + m - k, m = 0. Let s = 4 + 0. What is the highest common factor of y and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-16)\/64)\/(1\/12). Let b(z) = z + 7. Let q(x) = 1. Give c*b(g) + 21*q(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 342*b**4 + 1605*b.\nAnswer: 4104*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2166162, 2166179, 2166192, 2166201?\nAnswer: 2166206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.054 + 0.946. Which is the closest to 0.1?  (a) k  (b) -4  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.3069 times -76\nAnswer: -99.3244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - 1)*16\/(-32). Suppose p = v, -4*t + 4*p + 20 = -0*p. Suppose 239 = t*k - 133. Is 34 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 25*g**4 + 270*g**3 = 0. What is g?\nAnswer: -54\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -173 + (-19 - -156) + 164.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 32 = -4*c, -l + c + 3 + 4 = 0. Solve u - l = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -2*s**2 - 13*s. Let y be ((-48)\/(-36))\/((-4)\/18). Suppose -4*n + 68 - 16 = 0. Let j(b) = -b**2 - 6*b. Give n*j(l) + y*q(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ef when two letters picked without replacement from {e: 1, s: 2, t: 2, a: 1, f: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -4991.00103 to one dp.\nAnswer: -4991","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 6251597 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 139\/1540 and 69\/220.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (85*(-116)\/36685 - 2\/(-23))*3\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21131892 divided by -246.\nAnswer: -85902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1328.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + -101033132?\nAnswer: -101033131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 186 + 10\/(4 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 517 - 512. Let p(u) = -u**2 + 5*u + 10. Give p(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -2*b + 1. Suppose -7*u + 175 = -154. What is the remainder when u is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1445 and 66442035.\nAnswer: 1129514595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u\/(u**39\/u))\/(u*u**(-35)\/u) assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s*s**(-2\/3))\/s*s)\/s**(-5)*s**(-5)\/(s**(-3\/4)*s) assuming s is positive.\nAnswer: s**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 6*z + 3 = 5*z, 2*b + 3*z + 9 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*a + 24 - 52 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-120)*(-33)\/22. Let l(y) be the second derivative of 2*y + 0*y**4 + 0*y**2 - 1\/84*y**7 + 1\/30*y**6 - h*y**5 + 0*y**3 + 0. Factor l(s).\nAnswer: -s**3*(s - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/(((o\/(o\/(((o\/o**(2\/3))\/o)\/o))*o)\/o)\/o))**(45\/2)*o*o**25*o*o*o*o*o*o**(-5\/12) assuming o is positive.\nAnswer: o**(1357\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes after 3:16 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 67983 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4b6898 (base 14) to base 5\nAnswer: 1130421123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 91.12599 millennia in decades?\nAnswer: 9112.599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the third derivative of 85*t**4\/12 + 15*t**3\/2 + 2*t**2 + 23*t. What is the derivative of u(a) wrt a?\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 + -10. Let b = -2.5 - t. Put 0.3, b, -4 in increasing order.\nAnswer: -4, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 divided by -2937?\nAnswer: 31\/979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that -5*u**5 + 10580*u**4 - 105445*u**3 + 305470*u**2 - 210600*u = 0.\nAnswer: 0, 1, 4, 5, 2106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 55.536 rounded to one dp?\nAnswer: 55.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -2. Suppose m = 4*z - 9*z + 190. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 - 2da86c2?\nAnswer: -2da86c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10128*v**2 - 5229*v**2 - 1498*v**2 + 2170*v**2.\nAnswer: -14685*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (5*1 - 125\/26) + 0. Which is greater: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 101  (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 6*g**2 - g - 2. Let u(h) = -h - 11. Let i be u(-14). Is a(i) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 5:27 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does -2.689 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 48\/5 of a millisecond in microseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -0.414, 1\/2, -18, 13\/4 in descending order.\nAnswer: 7, 13\/4, 1\/2, -0.414, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -53565, -53560, -53553, -53544, -53533, -53520, -53505?\nAnswer: -53488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -3*j**3 - 2*j - 3. Let h be k(-2). Suppose 0 = 2*x + 3*o + h, -3*o = -3 - 0. Let w be (-32)\/x + (-6)\/21. Solve -10 = w*c - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26607 divided by -147.\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 11, -627, -3 in increasing order.\nAnswer: -627, -3, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.0587 - -1.9413. Which is the closest to -1?  (a) -21  (b) l  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + 2 - 3)*(-2 + 2 - 2*n) - 3*n + 4*n - 2*n - 3*n - 13*n - 76*n - 43*n - 77*n as f + l*n and give l.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2451, 2457, 2461, 2463, 2463, 2461, 2457?\n\"Answer: -g**2 + 9*g + 2443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49*i + 48*i = -5. Let y(n) be the second derivative of 0*n**4 + n**2 - 3*n + 0 + 1\/20*n**i + 0*n**3. What is the derivative of y(o) wrt o?\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*k**2 + 4*k**2 - 7*k**2 - 215 + 0*k**2 as z + w*k + y*k**2 and give z.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/11, -0.3, 20, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000001001001000 + 111111101010?\nAnswer: 10001001000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24 and 1148.\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 96609 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yuzaaaay. Give prob of sequence uy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 119170\/5521 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, 39, 0.25667, 0.1, -1, 1\/12?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 26350\/14 - (-96)\/(-84)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 - -9. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 11) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -164898 + 0*g + 2*g + 164877.\nAnswer: 2*g - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2. Let r = 660 - 654. Let p(f) = r*f - 2*f - 37*f - 22*f. What is w(p(h))?\nAnswer: 3025*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.8 in 1\/10, -2\/3, 2, -5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3173730 or -3173728?\nAnswer: -3173728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -883 + 44 + 398*v + 344*v + 320*v.\nAnswer: 1062*v - 839","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -s**2 + 75 + 6*s - 68 - 6*s**2 + 6*s**2. What is f(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 17186491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 247243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*(-30)\/(-660) - (-1 - 2*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 5*j = -8, 11 = 4*w + w - 4*j. Suppose -o + w*o - d = 339, -d + 681 = 4*o. Is 6 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**3 + 57*o**2 + 757*o + 46. Give g(-36).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 5*r**2 + 5*r - 1. Let u(t) = -t - 6. Let b be u(-8). Let g be (-10)\/b*48\/60. Give k(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1960504941?\nAnswer: 3, 653501647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((2*sqrt(187) - sqrt(187) - sqrt(187) - sqrt(187))*-6)\/(6*sqrt(44)\/sqrt(4)) + 4 + -5)**2.\nAnswer: 8*sqrt(17) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 5567, 5571, 5575, 5579, 5583?\n\"Answer: 4*i + 5563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of q**3\/3 + 11. Let a(p) = 4*p**2 - 1. Let r(v) = 3*v**3 - 43*v**2 - 34*v + 59. Let t be r(15). What is t*a(m) + 5*j(m)?\nAnswer: m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 3*x**2. Let t(f) be the second derivative of -f**3\/3 + 11*f. Calculate t(p(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1183 and 676?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*h + 11900 = 334*h for h.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117)\/(sqrt(21)\/sqrt(112)))\/(((sqrt(300) - -1*sqrt(300))\/sqrt(10))\/sqrt(10)) + -3.\nAnswer: -3 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10816517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -623*b + 961 + 9007 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*w - 3*w = -40. Let n be (8\/5)\/(w\/(-20)). Let g be (-12 + 0)*(-6)\/n. What is the greatest common divisor of g and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) -36  (c) 0.1  (d) 0.4  (e) -21  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = 2*l + 6, 0 = 3*l - 151*g + 156*g + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**7\/(t*t\/t**(-8))*(t**(-7)\/t)\/t*t\/t**(-4\/7) assuming t is positive.\nAnswer: t**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*p - 25*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**0\/n)**(-1\/23)\/(n**(-2\/7)\/n)**(-16)*(n**1\/n)**(26\/7)\/(((n\/(n*n**(2\/21)*n))\/n)\/n**(2\/5)) assuming n is positive.\nAnswer: n**(-43549\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of -y**6\/120 - y**5\/3 - 37*y**4\/12 - 7*y**3 + 133*y**2. What are the prime factors of q(-17)?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 - 7*y + 16. Let g be k(5). Suppose -g*q = -5*r - q + 1520, 4*r - 5*q - 1216 = 0. What is the tens digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178737397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1566 - -1566.5. Which is the third smallest value?  (a) -529  (b) y  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**3 + 64*p**2 - 420*p + 176. Calculate the remainder when t(-70) is divided by 45.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 84, 0, -4 in decreasing order.\nAnswer: 84, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2174*i + 210889. Calculate o(97).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1\/3 + -8\/15. Put g, -5, 1\/12, 1\/2 in ascending order.\nAnswer: -5, g, 1\/12, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-40)\/(-7) + 12\/42\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -1974 - -1980 - (0 + (3 - 3) + -45 + 1)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 496.9867 kilometers in meters?\nAnswer: 496986.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(153) - 1*sqrt(153)) + -1 + (-2*sqrt(153)*2)**2) - (-4 + 4 + -2*sqrt(153) + (3*-2*sqrt(153) - sqrt(153))).\nAnswer: -4894 + 27*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -187595*-0.5\nAnswer: 93797.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j + 13*j = -15, -573 = -3*d - 3*j. What is the greatest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -174 + 178. Solve -6*o = -t*o - 8 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16 - 19. Which is the second smallest value?  (a) 0  (b) -2\/11  (c) 0.5  (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-1\/3))**(-46))**(-1\/10) assuming h is positive.\nAnswer: h**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -2*j + 5*w, 2*w - 14 = 5*j - 49. Let t be ((-2)\/(-3))\/(3\/j). Suppose 1 = 2*c - h - t, -3*h = 4*c - 21. What is the remainder when 7 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/36*93 + 12)\/1?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes after 10:11 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1788*a**3 + 537*a**2 + a?\nAnswer: 10728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/16 and -49\/1744?\nAnswer: 1744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 7:11 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -80088 divided by -4\nAnswer: 20022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -112163\/8322 - -900\/73. What is the common denominator of -85\/12 and k?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 116 divided by 10912.\nAnswer: 29\/2728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(117) + sqrt(117)*-2*5 + sqrt(117) + (((sqrt(117) - sqrt(117)*3) + sqrt(117))*1 - sqrt(117)) + sqrt(117))\/(-4*(sqrt(144) - sqrt(144)*1*5)).\nAnswer: -9*sqrt(13)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 16 and 2514.1.\nAnswer: 40225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 382678195?\nAnswer: 5, 89, 379, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -378300279*q**3 + 609*q - 182151 wrt q.\nAnswer: -2269801674*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 26\/10 - 18\/(-45). Find the second derivative of -5*j + 4*j - j - g*j**2 wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-513)\/(-468) + (-4)\/(-26). Sort 3\/7, m, -0.4, 3.\nAnswer: -0.4, 3\/7, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.4*-88147\nAnswer: 35258.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of o*x**3 + 2*o - 32175*x**3 + 18920*x**2 wrt x.\nAnswer: 6*o - 193050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 0.5  (b) 3  (c) -5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -121\/6 and -149\/534?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 8*t**2 - 6*t. Let x(z) = 8*z**2 - 5*z. Let a(i) = -5*j(i) + 6*x(i). Let y(c) = -3570 - 3613 + 7183 - 6*c**2. Determine y(a(q)).\nAnswer: -384*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/19, -0.2, -3\/10, 2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:07 PM and 11:08 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 25\/6, -10, -2\/5 in decreasing order.\nAnswer: 25\/6, -2\/5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.7 - -5. Let t = y - 0.4. Let v = t + 0.6. Which is the third smallest value?  (a) v  (b) 0  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = -48 - 8. Suppose 3*a + 0*k = 3*k - 9, -2*a = 3*k - d. What is the biggest value in -7, 4, a, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2550, 2655, 2760, 2865, 2970?\nAnswer: 3075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10.5 * -17.4565.\nAnswer: -183.29325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q + v = 2, -6 + 2 = -4*q + 2*v. Let d be (-3)\/(-21)*154\/(-66). Which is the closest to d?  (a) q  (b) 0.4  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1\/11 + -9\/22. Suppose -2 = -5*o - 2*c - 30, 16 = -4*c. Which is greater: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9*h*i**3*t + 116746*h*i**3 - 31*h*i*t - 10*h + 833*i**3*t wrt t?\nAnswer: 9*h*i**3 - 31*h*i + 833*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1*1*-97*(-1 - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/58500 and 89\/136500.\nAnswer: 409500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6312 and 3156.\nAnswer: 6312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49686069.\nAnswer: 3, 53, 211, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13 - -17. Suppose 0 = -k*q - m, 0 = q - 3*m - 2*m. Solve 2*o - o = q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 PM and 4:26 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*s**3 + s**2 - s**3 - 3*s**4 + 343*s + 0*s**3 - 349*s as y + q*s + f*s**3 + n*s**4 + x*s**2 and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -5*l**3 + 8*l**2 - 7*l - 5. Let z(a) = a**3 - a**2 + a + 1. Let u(v) = -x(v) - 6*z(v). What is the units digit of u(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 131862158*w**3 + 269*w**2 - 7*w + 11003?\nAnswer: 791172948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1, 3, 21, 59, 123, 219, 353?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 3*m**3 - 1. Let f be c(1). Suppose 2*r = 3*d + 4 + 58, 136 = 5*r + f*d. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m - 85 = 7*m - 306. Solve -m*q + 140 - 49 = 0 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -30*r**2. Let l = -53 - -142. Let c(m) = -m**2 - 88 + 177 - l. Determine c(g(w)).\nAnswer: -900*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -8*o - 7. Let j(d) = 8*d + 6. Determine 6*j(k) + 5*r(k).\nAnswer: 8*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 223 + -412. Let d = i - -322. What is the greatest common factor of d and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 u, and 2 j when four letters picked without replacement from {a: 2, h: 3, m: 1, c: 1, j: 2, u: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 2*w - 10 = 0, -5*c + 6 = -c - 3*w. Suppose 3*x + 2*k = 0, c*k = 3*x - 2*k. Solve x = -0*j + 3*j + 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -12, -3, 1, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -191.24238 + -0.5.\nAnswer: -191.74238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 + -15. Let d = g - 9. Suppose -5*s = d*y - 80, -4*s + 12 + 67 = 5*y. Solve -3*v - 3*p = 6 + y, 5*v - 5*p + 15 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -392*s**5\/3 + 29456*s**4\/3 - 117098*s**3\/3 + 127606*s**2\/3 - 16480*s\/3 + 568\/3 = 0. What is s?\nAnswer: 1\/14, 2, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/35048 and 33\/2567266?\nAnswer: 10269064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wj when two letters picked without replacement from {j: 2, w: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, d: 5}. Give prob of picking 2 d.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*z**3 + 2*z**3 - 5 - 3.\nAnswer: 2*z**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 (base 13) in base 2?\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 655 - 314. Let r = g - 336. Solve r*w + 3*t - 34 = 0, -3*t + 5*t - 26 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.03, 0.3, -39, -1\/4, 2\/9 in increasing order.\nAnswer: -39, -1\/4, 0.03, 2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 11363 - 7432. What is the thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 + 7 + 4 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -22798.6 + 22799. Let o = -2 + 1. Which is the nearest to o?  (a) u  (b) 1\/7  (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*-673*(14\/(-28))\/(-1). Which is greater: -2\/13 or o?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 667*g - 250675 = -300033 for g.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 25 = 23. Let y = -669 + 674. Suppose -y*j + 17*j = -36. Sort u, j, 5.\nAnswer: j, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -53?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 11:57 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 + 3*t - 17. Let v(k) = 1. Let y(b) = u(b) - 5*v(b). Let p be y(15). Let g = p - 130. Calculate the remainder when g is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2450*s**3 - 7158*s**3 + 2346*s**3 + 2371*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 c when two letters picked without replacement from {t: 3, y: 4, z: 2, r: 4, w: 3, c: 1}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 132 + -128. Let x(b) be the second derivative of -2*b + b**3 + 1\/12*b**p + 0 + b**2. Give x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(22) + (sqrt(1078) - (sqrt(1078) + -1*sqrt(1078))) + sqrt(1078) + sqrt(22))\/(sqrt(1331) + sqrt(1331)*1 - sqrt(11)) - (-4 + (-3*sqrt(200))**2 + 1).\nAnswer: -1797 + 16*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3 + 31*j**2 - 158*j + 200.\nAnswer: -(j - 25)*(j - 4)*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 + 1. Let j = 1 - h. Suppose -6 = -j*t + 59. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 2*s - s. Let m = -746 - -760. Calculate the greatest common factor of s and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -417232, 11, 4 in ascending order.\nAnswer: -417232, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -327 + 6c1a7?\nAnswer: 6bd80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 909733400 to the nearest integer?\nAnswer: 30162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6353032?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 330, 240, 160, 96, 54, 40?\n\"Answer: h**3 - h**2 - 94*h + 424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5878871 to the power of 1\/2, to the nearest integer?\nAnswer: 2425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 57704221?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 115.\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence isi when three letters picked without replacement from {s: 10, i: 9}?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 2*k - m, -3*m = 3*k + 14 + 13. Let o = k - -6. Solve -6*v + 5*v = o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 + 4 = 10*b. Let k(t) = -t**2 + 3*t + 1. Determine k(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (63\/4*2)\/(27\/18).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 62\/201?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -11738941\nAnswer: -4\/11738941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 93848, 93855, 93860, 93857, 93840, 93803, 93740, 93645?\n\"Answer: -f**3 + 5*f**2 - f + 93845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of -w**7\/210 + 17*w**6\/60 + 41*w**4\/12 - 39*w**2. Find the second derivative of g(k) wrt k.\nAnswer: -12*k**2 + 204*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 12 = 0, -46*c + 50*c = -5*l + 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1082926 <= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (1256\/(-5))\/((-46)\/115*7). Is 2 <= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 7900 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 51351305303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -184*n + 170*n + 42 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d = -3*d + 12. Suppose 0 = d*z + 9. Let l = -0.1 - -0.1. Which is the nearest to -1?  (a) -0.4  (b) z  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b - b - 5*b)*(-b**2 - 2*b**2 + 2*b**2)*(-21 - 442 - 383).\nAnswer: -2538*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 42783, 42782, 42781, 42780?\nAnswer: 42779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 122351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -3*q - 296, -3*j + 52*q + 3816 = 50*q - 28*q - 9*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 3, b: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3.03*-0.4\nAnswer: 1.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 3*w = 3372, 52*k + 2028 = 55*k + 3*w. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 4 = 4*c, 2*c = -l - 8 - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1  (b) 2\/37  (c) 0.016\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01375279 rounded to five decimal places?\nAnswer: -0.01375","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -17*j**2 + 50. Let i(o) = 5*o**2 - 16. Determine 7*i(u) + 2*s(u).\nAnswer: u**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/h**(-1\/5)*h**34 assuming h is positive.\nAnswer: h**(176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a*a**(-2))\/(a**1\/a)*a**(1\/2)\/a**(-5\/2) assuming a is positive.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1310139946314 - -0.4\nAnswer: -1310139946313.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/((4\/(-22))\/((-2)\/3)). Let g be 51000*f\/((-33)\/6). Round g to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*l + 11*l = -1687. Suppose -5*q = 2*w - 485, -3*w + q - l = -994. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + -1 + -8 - 3) + 2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 504 and 432?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 430 is divided by 258.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45683 is divided by 11419?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 66 = 54, 4*r + c - 175512 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 a factor of 1836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (1700\/(-5525))\/((-6)\/(-39))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllllllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 86 is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.9 + 0.1. Let v = -3.226 + 0.53. Let c = v - y. What is c rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uquq when four letters picked without replacement from {q: 2, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 7058, 28210, 63456, 112790, 176206, 253698?\n\"Answer: -v**3 + 7053*v**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -15165*b**2 - 77224.\nAnswer: -30330*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 368*f**2 + f + 14. Suppose 2*o + 4*r = 7*o - 43, o = -r + 5. Is c(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -260232 divided by -6.\nAnswer: 43372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*q**2 + q**2 + q**2)*(-q**2 - 3*q + 3*q) + 11782*q**4 - 5113*q**4 + q**2 + q**2 in the form a*q**4 + h*q**3 + d*q + y*q**2 + g and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 58*y - 40. Suppose -2*m = 5*w - 9, -2*m - 5 = -5*w - 4. Calculate the remainder when 555 is divided by p(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 - 236274638?\nAnswer: -236274641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2644815 is divided by 728.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 23 = -d - 6, t + 3*d = 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**2 - 10*h + 1. Let j be (4\/10 - 36\/(-10)) + -2. Let f(t) = -8*t - t**j - 3 - 16 + t. Let q be f(-3). Give z(q).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*m**3 - 2*m**3 - 4*m**3 + (m**3 + 0*m**3 + m**3)*(-2 - 1 + 2) + 0*m**3 + 4*m**3 - 3*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 49875 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5205 and 465.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 2*v**2 - 12*v + 20. Let y be (2 + -6*1)\/((-11)\/88). Suppose 3*u + 33 = 8*u - 2*d, 5*u = 3*d + y. What is the lowest common multiple of i(u) and 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 47769 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 4*o. Let s(a) = -6*a**2 - 242*a. Calculate v(s(h)).\nAnswer: -24*h**2 - 968*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 10874 - 3339. What is the hundreds digit of ((-6)\/(-10) - n\/(-25))\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 52*z + 7. Let f be v(6). Let q = 169 - f. Let b = 215 + q. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -11803b10 + 6?\nAnswer: -11803b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1204019455 to the power of 1\/2, to the nearest integer?\nAnswer: 34699","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (215\/(-430))\/(2*2\/64)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 37, 560, 5, -4, -338.\nAnswer: -338, -4, 5, 37, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -3*j**2 - 3. Let h(m) = -10*m**2 - m - 8. Let z(d) = -2*h(d) + 7*u(d). Let y be z(4). Let v be 2\/y - (-84)\/39. Solve -l - v = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 36.39?  (a) -1  (b) -0.8  (c) -1\/3  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 3*p - 5. Let v be m(4). Suppose i = -2*k + v*k - 38, k = -i + 10. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3326532 is divided by 831628.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 + 0\/(-2) - -2. Let z(d) = 0 - 4*d + g. Let k(a) = a + 36. Let j(i) = -i - 42. Let f(q) = -6*j(q) - 7*k(q). Calculate f(z(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2518, 2534, 2548, 2560, 2570?\nAnswer: 2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 3*t - 2*u - 8, 0 = -2*t + u + 10. Suppose -l + 6 = -t. 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: Let d be 156\/80*48\/9 - -3. Put 1, 4, d, 5 in decreasing order.\nAnswer: d, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = o**3 + 20*o**2 + 18*o - 27. Calculate v(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - v - 384 = 0. Let g(h) = -25*h + 91. Let n be g(3). Calculate the highest common factor of n and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + -5. Let s = 99 + p. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-27383760)\/(-1800))\/(4\/10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - 4)*6\/(-15). Find the first derivative of -2*q**4 - x + 5 + 0*q + 0*q wrt q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1895 divide 17573463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*w = 33*w - 24. Let b(u) = u**2 + 6. Let t(f) = -2*f**2 - 7. What is w*t(v) - 7*b(v)?\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/((-60)\/9)*-5. Suppose 2*z - 5 = -j*z. Which is smaller: -2\/13 or z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4958, -4986, -5064, -5216, -5466?\nAnswer: -5838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -680663.837 to the nearest 100.\nAnswer: -680700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + 1 - (-7 + 9 - 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 + 2*y - 3. Let h be o(2). Let n = 10 - h. Let b be (-25)\/(-9) - 8\/(-36). Sort -3, n, b.\nAnswer: -3, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -987068*b + 987092*b = 9 + 2343 for b.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 783419 to the power of 1\/2, to the nearest integer?\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-10))\/((40\/(-8))\/125*-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 899871 and 899854 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2241 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 2*j**2 + 48*j + 1. Let x be o(-24). Let d = 0.6 + -0.1. Which is the third smallest value?  (a) x  (b) d  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + n + 3)*(153 + 79 - 106) + 2*n - n - 3*n + (1 + 1 + 0)*(2*n + 1 - 1) + (0 - 1 + 2)*(5*n + 0*n - 4*n).\nAnswer: 129*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - 40 = u, 5*o - 32 = -3*u + 28. Suppose 15 = 4*m - o. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 13, h: 6}. Give prob of sequence ggh.\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -786436, -1572869, -2359302, -3145735, -3932168?\n\"Answer: -786433*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by -535385.\nAnswer: -3\/535385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18150 and 330?\nAnswer: 18150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 300.19 - 300. Let g = p - 0.49. Do g and 65 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/108498 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 70*o**2 + 156*o - 6103. Give z(71).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*q - 160 = -25. Calculate the highest common divisor of q and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-34 - 13 - 10) + 13 - -15\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 457666 * -5.\nAnswer: -2288330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 83070 and 170001.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.34*-3.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -102*v*x**3 + 15*v*x**2 - v - 316*x**3 - x**2 - 293*x wrt x.\nAnswer: -612*v - 1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by 538\nAnswer: 2\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(304) + 5*(sqrt(304) - (sqrt(304) + sqrt(304) + 0)))**2 - sqrt(38)\/(sqrt(10)\/(sqrt(35)\/sqrt(7))).\nAnswer: -sqrt(19) + 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2781 - 2819. Sort -3, -4, 4, i in increasing order.\nAnswer: i, -4, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 136*q**3 - 185*q**2 + 4*q + 6. Let n(i) = 681*i**3 - 924*i**2 + 22*i + 33. Let v(f) = 11*b(f) - 2*n(f). What is the third derivative of v(d) wrt d?\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24 and 132.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 5\/984 and 83\/12.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.019051+13661686698\nAnswer: 13661686698.019051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-96)\/(-896)*-32*(-252)\/(-48)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5ba40e (base 15) to base 13.\nAnswer: ba85c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7 - -10. Suppose -2 = 2*p - 2*u + 10, 0 = r*u - 3. Suppose -i + 3*i - 14 = 2*a, -11 = 5*a + 3*i. Sort a, 1, p in descending order.\nAnswer: 1, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence drd when three letters picked without replacement from {r: 1, d: 2, v: 1, w: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82986 is divided by 13826?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 70*v**2 - 7*v - 59. Let s(l) = 94*l**2 - 9*l - 81. Calculate -8*s(b) + 11*y(b).\nAnswer: 18*b**2 - 5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 709082065 to the nearest integer?\nAnswer: 892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 540635412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xxxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 175219 is divided by 84069.\nAnswer: 7081","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k*k*k**(2\/7)))**(4\/17)*k**8*k**(-7)*(k**(-1\/11)*k)\/k**(-1\/5)*k**(-2\/17)\/k*k*k**(4\/9) assuming k is positive.\nAnswer: k**(111806\/58905)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 4*m - 5, -5*m - 7 = -7*m - 5*h. Let r = -23 - -19. What is the units digit of 4*(r - -6) + m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (47*y**2 - 396*y + 396*y)*(73 - 73 - 8*y)*(2*y - 4*y - 4*y) as m*y**2 + u*y + v*y**3 + x + k*y**4 and give k.\nAnswer: 2256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 78904327 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y + 6. Calculate s(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 64  (b) -185  (c) 0.8  (d) -0.3  (e) -6  (f) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -42\/11*i - 2\/11*i**2 - 108\/11 = 0.\nAnswer: -18, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11022217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 47*j = 42*j - 5, 0 = -5*a - 5*j + 25. Solve -a*b + 1 + 0 = -q, 3*b - 5 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 16242, 16143, 16040, 15933, 15822, 15707, 15588?\nAnswer: 15465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Express -3*u**3 + 17 + 20 + 5*u**3 + 210*u**2 - 209*u**2 in the form m + l*u + v*u**2 + z*u**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 270  (b) -0.1  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (437 - 409) + 1 + 16 + -8\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3378 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6522 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.1  (b) -5  (c) 0.05  (d) -4  (e) -0.048  (f) 18  (g) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/4*(6174\/56)\/(-49).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -87*x + 3. Let s(h) = -2*h**2 + 29*h + 9. Let q be s(15). Let v be l(q). Let w be (-4 + (v\/24)\/5)*1. What is the second biggest value in 3, w, 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*m + 721 - 201. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0\/2 - -5) + -1. Find the first derivative of -9*n**2 - w*n - 14*n**2 - 13 - 15 + 39*n**2 wrt n.\nAnswer: 32*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 594 = -165*o + 35079. Suppose 332 = 2*b + 2*b. Let l = -30 + b. What is the remainder when o is divided by l?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23145238509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/6*(-6)\/(-5). Suppose -3*w - w + 64 = 0. Suppose -k + 4*k - 15 = -4*s, 0 = -5*s - k + w. Put y, -0.1, s in decreasing order.\nAnswer: s, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 250889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 989\/4  (b) -1\/3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 1, l: 1, a: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 39377 + -25410. Is 23 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - p - 4*p - 100, -84 = -2*q - 3*p. Calculate the highest common factor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_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: -23 - 0.214\nAnswer: -23.214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3284*k*w**3 - 412*k*w + 2*w**3 + 35*w**2 wrt w.\nAnswer: -19704*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -179*a - 2. Let y be n(2). Let g be (-2)\/(3*(-4)\/54) - 6. Calculate the lowest common multiple of (y\/150)\/(g\/(-20)) and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -11\/7, 2\/9, 2243, -0.4, -7 in decreasing order.\nAnswer: 2243, 2\/9, -0.4, -11\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 73661706 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 2 = 0, 5*b - 7 = -4*l - 0*b. Suppose 0 = l*p + 3 + 3. Let k(v) = 11*v**2 - 2. Is k(p) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 200 + -196. Solve 3*n - h = s, 4*s - 3*s - 2*n + 2 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/6)\/(2\/(-15)). What is the nearest to 0.1 in l, 7, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y**2 - y - 2. Let b be w(-5). Let a(t) = -t**2 + 18*t + 1. Let i be a(8). Let l = i - b. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2730 divided by 1365?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 25, 8, -23, -74, -151, -260?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 105225\/7 + -15020. Is 11 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 307 + -111. Is y a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/26 - 88\/(-234). Let v be (6\/20)\/((-4488)\/(-11380)). Let z = 2\/187 - v. Put 3\/2, w, z in descending order.\nAnswer: 3\/2, w, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 142289687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -20\/19?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (27*j - 14*j + 17*j)*(2*j**3 + 0 + 0).\nAnswer: 60*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -38544455, -154177807, -346900055, -616711199, -963611239?\n\"Answer: -38544448*n**2 - 8*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = 75*q + 5. Let g(n) = n - 1. Calculate 6*g(r) + o(r).\nAnswer: 81*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**3 - 64*i**2 + 397*i - 207. Is f(-92) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 + 15 + (-30)\/(2\/1)*(-21)\/9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/(d\/((d\/d**(-2\/3))\/d*d))*d)\/d)\/((d**2*d*d*d)\/d))\/(d**(-1\/2)\/(d**(4\/3)*d)) assuming d is positive.\nAnswer: sqrt(d)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -2*s + 22, 3*l - 5 - 7 = 0. Let o(f) = 3*f**2 - 2*f - 1. Let r be o(-3). Let b = -7 + r. What is the remainder when b is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - 3 - ((1 - -11) + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 16*p + 4. Let j be t(1). Let a be 4440*((-5)\/j - (-34)\/(-24)). What is a rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3817 = 5*w + 17*l, 24*l - 3002 = -4*w + 19*l. Suppose -i + 238 + 197 = 0. Suppose -2*p - i = -5*p + 3*j, j = -5*p + w. List the prime factors of p.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 13 = -21. Suppose -2*d + p = 3. What is the lowest common multiple of 3 and d?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1113*r + 1741*r + 35929 = -11171 for r.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 23546840 and 553320.\nAnswer: 211921560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*c**3 + 186*c**3 + 213*c**3.\nAnswer: 325*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17 - -20. Suppose 5*c - s = 2*c - 1, 4*c + 2*s = 2. Suppose c*x - 141 = -i*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*o**2 + 2*o**2 - 2*o**2 + 2*o - 2*o + o**2 + (-2*o - o + 5*o)*(-3*o - 3*o + 5*o) + (5*o**2 + 3*o**2 + 3*o**2)*(1 + 0 + 4).\nAnswer: 52*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 4*f**2. Let h(m) = 2578047 - 690*m - 2578047. What is h(v(k))?\nAnswer: -2760*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + 0 + -1 + sqrt(17).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 120597 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-37 - 19 - 6*r + 10*r)*(r - r - 2*r) to z + g*r + s*r**2 and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the second derivative of 2*y**5\/5 + y**4\/2 - 12*y**3 - 6*y + 3. What is the second derivative of z(u) wrt u?\nAnswer: 48*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -0.73\nAnswer: 3.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -275061 - -3.77612.\nAnswer: -275057.22388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10120 + -200?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (8 - 2) + -1 + -3. Let b be -8 + 665\/21 - (-4)\/(-6). Suppose -b = -u*d - 15. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 19?  (a) 0.3  (b) 0.1  (c) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 - 19*n - 24. Let d be y(-17). Let u(k) = 2*k**2 - 21*k + 9. Let j be u(d). Let o = -6 - -6.4. Which is the biggest value?  (a) j  (b) -4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1354388 divided by -17.\nAnswer: 1354388\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + 2 - (7 + 6 + -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 3*c**2. Let j(n) = -598418*n - 2. Give j(o(m)).\nAnswer: -1795254*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 6*s**2 - 4*s - 4. Let r(a) = 3*a - 2*a + 3 + a + a - 5*a**2. Let v(t) = -3*k(t) - 4*r(t). Let w(u) = -2*u**2. What is v(w(c))?\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 111939408 and 1974240.\nAnswer: 1119394080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 4*o + 12 = 0. Suppose -3*q - 2*f = -127, o*f + 106 = 2*q - 0*f. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -7*l**2 + 9*l + 40. Calculate d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 55.4 + -52.4. What is the second biggest value in 0.135, 0.5, -1, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12553220?\nAnswer: 2, 5, 627661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is p in -2*p**5\/5 - 1494*p**4\/5 + 7594*p**3\/5 + 11094*p**2 - 134096*p\/5 - 36096 = 0?\nAnswer: -752, -5, -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - r = -5*r + 28, 3*r = -2*t + 16. Sort -2, t, -4 in descending order.\nAnswer: t, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.082 - -0.097. Round h to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/992 and -56\/93.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59471 is divided by 144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(((i\/i**0)\/i)\/i))**(-23)\/(i**0*i*i)**(2\/35)*(i*i**(-1)*i**(-3))\/(((i*i**(-1\/2)*i*i)\/i)\/(i\/((i**(2\/7)*i)\/i))) assuming i is positive.\nAnswer: i**(-499\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 7*v**2 + 4*v + 40. Let l be f(-4). What is the highest common factor of 64 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*i - 5*g + 25, 2*i + 531*g - 20 = 527*g for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - (-4 + 2 - 8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 r when four letters picked without replacement from iezrrfzefferxez?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*g = -20*g - 115. Suppose 2*l - 230 = -4*t, g*t = 26*l - 29*l + 285. What is the highest common divisor of t and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 55420*z - 116809 with respect to z.\nAnswer: 55420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = q - 2*n, -4*q + q + 168 = -3*n. Let w(o) = -4*o + 6. Let z be w(4). Let m = q + z. What are the prime factors of m?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 12, g: 7, o: 1}. What is prob of sequence gx?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c = 24 + 12. Suppose 0 = 2*y - 10 - 4. Let o be y\/c + 4\/(-12). What is the nearest to o in 4, 0.3, -1\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 2*r - 24. Let x be d(13). What is the third derivative of 4*m**2 - m**4 - 14*m**x + 5*m**4 wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 51 - 45. Solve 5*y = l*y + 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 8\/5 in -149044, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2674\/10 - (-4)\/(-10). Suppose 0 = -2*y + 2*a - n + 33, 5*a = 3*y + 361. Let i = -24 - y. Round i to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-453 - 1227 + 875)*(4*i - 3*i - 2*i) to p + t*i and give t.\nAnswer: 805","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18901712 and 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 0.2  (b) -2\/35  (c) -2\/17  (d) 8\/5  (e) 59\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/7 and 113\/2072.\nAnswer: 2072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4.627 + 0.373. Which is the smallest value?  (a) -1\/12  (b) r  (c) 1  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 573451337 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -330 divided by 66.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3630 - 3626. Let t(o) be the first derivative of 0*o**3 + 0*o**b + 1\/2*o**2 - 5 + 2\/5*o**5 + 0*o. What is the second derivative of t(q) wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.3 - -0.4. Let m = 0.2 - u. Let s = -34692 + 34684. Which is the biggest value?  (a) s  (b) m  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -9*m - 150. Let s(b) = 10*b + 226. Let j(u) = -2*s(u) - 3*z(u). Let o(r) = 43*r. What is j(o(p))?\nAnswer: 301*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o + 35 = 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11398983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of (135150\/114)\/5 - 4\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41043 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -777 + 412. Let r = -364.99998 - i. Round r to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.0308 + -3.0308. Let u = -5.6 - -6. Put g, -0.2, u in descending order.\nAnswer: u, -0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, n: 4, p: 3, f: 1, j: 1}. Give prob of sequence bp.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -17*t + 184. Let i(z) = 5*z - 57. Let k be i(t). Solve 4*p + 19 + k = -2*y, 0 = 5*y + 2*p + 31 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = u - 3. Suppose -u*l = 137681 + 95529. Let r = 43605 + l. What is r rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 7*s - 9. Let o be m(4). Solve o*b - 9 = -2*y, 6*b - 4*b - 2*y = 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -7*h**2 - 7*h + 4*h**3 - 18 - 2*h**3 - h**3 + 7. What is r(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.359 - 91.359. Let j = m + 101. Sort -0.1, -0.4, -2, j in ascending order.\nAnswer: -2, -0.4, -0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 862.8 + -857.8. Suppose -4*c = 4*u, -4*c - 13 = -3*u + 22. Sort c, 0.05, j.\nAnswer: c, 0.05, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 54 - 53. Is 11 > h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 + -16. Factor -2*h - 6*h - 2*h**3 - 5*h**3 + 5*h**a - 8*h**2.\nAnswer: -2*h*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**2\/4 + 93*v\/4 + 47\/2.\nAnswer: -(v - 94)*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 589 minutes before 7:31 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2465*w + 73954. Let f be l(30). Suppose -36*v**2 + 72 + 12*v**3 + 9\/2*v**f - 24*v - 3\/2*v**5 = 0. Calculate v.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/3 + 152*h - 10516\/3.\nAnswer: (h - 22)*(h + 478)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-21)*g**(-19)*g*(g\/g**(-13\/4))**(-5) assuming g is positive.\nAnswer: g**(-241\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that 4*j**2\/7 + 16*j\/7 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 4*s**2 - 10*s - 66. Let l be o(-5). What is the highest common divisor of 249 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/((-70)\/7) + 48\/10. Sort m, 3, -2, -4 in descending order.\nAnswer: m, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-1 + sqrt(66)\/sqrt(6) + sqrt(77)\/(sqrt(7)*3)) - ((-2*sqrt(99)*-5)**2 + (-4 + -1 + sqrt(99))**2).\nAnswer: -10028 + 106*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32064*j**3 + j + 2863.\nAnswer: -192384*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -909803, -909763, -909697, -909605, -909487, -909343, -909173?\n\"Answer: 13*z**2 + z - 909817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -24.3 and 7.292.\nAnswer: -177.1956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3317754, 3317759, 3317764, 3317769, 3317774, 3317779?\nAnswer: 3317784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*y = 4*g - 25, -309*y + 310*y - 4*g + 17 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -196638354 and -395.73.\nAnswer: -196638749.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -250*f*t**3*v + 2*f*t**2*v**2 + f*v + t**4*v**2 - 19*t**2 + t*v**2 + v**2 wrt t?\nAnswer: -1500*f*v + 24*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 93217650?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15\/16 - 103\/144. Let i = -21268 + 21268. Solve b*y**3 - 8\/9*y**2 + 2\/3*y + i = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6.37178 - -6.34. What is v rounded to three decimal places?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 3 - 6)*(4*t**2 - 13 + 13)*(1 + 1 - 3) to w*t**2 + o*t + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 10115, -19, 2\/15 in descending order.\nAnswer: 10115, 2\/15, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/n**0)**(7\/3)*n*n*n**(2\/7)*n*((n\/(n**(-3\/7)*n))\/n)\/n*n assuming n is positive.\nAnswer: n**(155\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*j = -15*h + 438 - 76, 39*j + 108 = 36*j - 3*h for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3, i: 15}. What is prob of picking 3 i?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine c so that 7*c**3\/5 + 719*c**2\/5 - 1676*c\/5 + 84 = 0.\nAnswer: -105, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i + 4*i + 0*i)*(-i - 2*i + 2*i)*((2 - 4 + 0)*(-4 + 1 + 5) + 25 - 12 - 14).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7857604043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8842 (base 11) to base 12.\nAnswer: 68ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*k = 18*k + 160 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) be the second derivative of -p**4\/12 + 3*p**3\/2 - p**2\/2 - p. What is y(10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 803 and 128407?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i**10)\/i)\/(i**(2\/7)*i*i))\/(i**(-3\/10)*i**(4\/7)) assuming i is positive.\nAnswer: i**(521\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = -34065 - 78574. Let n = 26357569\/234 + o. Let y = -1\/26 - n. Which is the closest to -1\/3?  (a) y  (b) 0  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:51 AM and 1:40 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - o = -2*f + 6, 4*f - o = 2. Find i, given that 1\/2*i**4 + 0*i + 1\/4*i**2 + f - 3\/4*i**3 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((7 + -5)\/6)\/((-126)\/54)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 9.949337t?\nAnswer: 9949.337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-3 - 56\/(-20))\/((-68480)\/(-5300)) and -63\/428.\nAnswer: 3424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -424 + 409. Let j = 2 - 11. Let i = j + -6. Is i != n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2991889 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6533*f**2 + 1930*f**2 + 19375*f**2 - 6014*f**2 + 22951*f**2.\nAnswer: 44775*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 832603, 832602, 832601, 832600?\nAnswer: 832599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1328 + 4669 = 103*t - 1831 for t.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of -1\/24*w**4 - 3*w**2 + 0*w**3 + 0*w - 4. Let c(l) = -2*l**2 - l. What is -2*c(a) + 2*p(a)?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/494?  (a) 3\/8  (b) -0.2  (c) 0.3  (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -5*p**5 + 440*p**4 - 615*p**3 - 58760*p**2 + 228740*p - 224400 = 0.\nAnswer: -12, 2, 11, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -55\/6 and -97\/11416?\nAnswer: 34248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2058) + sqrt(2058) + sqrt(2058) + sqrt(2058)*1 - sqrt(2058)) + 5*sqrt(168)\/sqrt(4))\/(2*sqrt(66)\/((sqrt(66)*4)\/sqrt(6))).\nAnswer: 52*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -9 - -11. What is the derivative of -s - 2 - 6 - 7*o - 6*o wrt o?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a minute in seconds?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 5*i**3\/2 + 209597*i**2\/5 - 469554*i\/5 + 20124 = 0.\nAnswer: -16770, 6\/25, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -14100*n**2 - 752. Let r(s) = 188*s**2 + 10. Determine -5*l(u) - 376*r(u).\nAnswer: -188*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2871*c + 20808 = 3483*c for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = 17 + 8. Differentiate f*v**4 + 8*v**4 + v**4 + 13 - 3*v**4 wrt v.\nAnswer: 44*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7504 and 21140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1476?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) + 4)**2 + (sqrt(6) - sqrt(42)\/sqrt(7))\/sqrt(3).\nAnswer: 80*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -88 - -114. Calculate the least common multiple of x and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42 - 46 - 47 + 135 - 10*b.\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 2 w when three letters picked without replacement from xxxxwxxxxwxxwx.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z + 8 + z - z - 7. Let f(n) = -n**3 + n**2 - n + 3. Suppose -3*b - b = 0. Let j be f(b). Let l(t) = 4*t - 3. Give j*c(x) + l(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:59 AM and 6:49 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2721, 10717, 24029, 42663, 66625, 95921, 130557, 170539?\nAnswer: 215873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 4*o + 172 + 105, 2*v - o - 109 = 0. Let z = v - 49. Suppose 3*m = -4*p + 3068, p = z*m + 2139 - 6217. What is m rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 231992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*p - 64*p - 4528 = -751 + 1267 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1021\/62 >= 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v, 1 n, and 1 w when four letters picked without replacement from {r: 3, n: 1, w: 5, v: 2, i: 1}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((132\/24)\/(-11))\/(71\/(-13206))\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 165319 and 70.\nAnswer: 1653190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 3, u: 2, v: 5, e: 7}. Give prob of sequence euye.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4\/7, -1, 15334394?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001384549579 rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 9026, 12899, 19352, 28385, 39998, 54191, 70964?\n\"Answer: 1290*y**2 + 3*y + 7733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6.115499 micrometers to millimeters.\nAnswer: 0.006115499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the third derivative of 7*y**2 + 1\/6*y**3 + 1\/4*y**4 + 0*y + 0. What is the first derivative of h(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 0 - (-10 + (-1 - -11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -5*y + 5*q, -5*q = 2*y - 25 + 11. Let c(u) = u**3 + 7*u**2 + 6*u + 7. Let v be c(-6). Calculate the greatest common factor of v and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -80 or -81?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 83710 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 1778798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17231\/12 + -1437. Let w = -47\/36 - x. Which is the third smallest value?  (a) -0.1  (b) -0.04  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3398 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25\/10*(-72)\/30.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**4 + 116*q**3 + 9658*q**2 + 126036*q - 291600 = 0. What is q?\nAnswer: -27, -25, 2, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 22880 divided by -1144?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -8*2*2\/(-8). Let o = x - -3. Find the first derivative of 7*j**2 - o*j**2 + 12*j**4 + 0*j**2 - 3 wrt j.\nAnswer: 48*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -45, 1, 218 in ascending order.\nAnswer: -45, 1, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of 0*w**2 + 0*w + 11\/3*w**3 + 2. List the prime factors of v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9724 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -262*g + 415*g = -644*g + 23910 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 + 55 = -6*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1547259, -6188936, -13925065, -24755646?\n\"Answer: -1547226*c**2 + c - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -987 (base 13) to base 5.\nAnswer: -23012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 25340*s**5 - 32874*s?\nAnswer: 506800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 489 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - -3) + (-23)\/((-115)\/2400). Let n = i - 222. List the prime factors of n.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -3*f**2 - 4*f - 6. Let n = 8 - 3. Let s(o) = 3 - 4*o**2 - 4 - 5 - 1 - n*o. What is -6*b(m) + 5*s(m)?\nAnswer: -2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 132094 - 75795. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 609888.1 millilitres to litres.\nAnswer: 609.8881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 753810749.\nAnswer: 419, 1799071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*n + 15*n - 15. Solve 0 = -n*r - 3*s - 5, r + 2*r + 5*s = 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101404320?\nAnswer: 2, 3, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -55 + 57. Let k be (1\/y)\/((-1)\/58). What is k rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 6 + y**2 - 2*y**2 - 10*y + y**2 - y**2. What is the units digit of i(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -f + 10. Let l be g(8). Suppose -3*y + 38 = l. What is the highest common divisor of 36 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ld when two letters picked without replacement from {l: 10, k: 4, d: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - 11 - 12*g**2 + 11*g + 10*g - 9*g. Suppose -71*n + 76*n = 365. Let r = n + -62. Determine u(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -237 * -10.12.\nAnswer: 2398.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/29 equal to -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80263111.\nAnswer: 127, 631993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 - -28. What is the lowest common multiple of 5 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*z**2 + 60*z**2 - 32*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (88\/36)\/(-11)*-9. Suppose m*g + 22 = -g - 5*j, -3*j - 10 = 5*g. Calculate the greatest common divisor of g and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 131*v - 3780 + 374 = 0 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*h = 5*s + 47*h - 561, 4*h = -3*s + 375. Solve s = -16*c + 5 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3969 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*sqrt(231))\/sqrt(11) + 4*sqrt(336))\/((-6*(sqrt(7) - sqrt(35)\/sqrt(5)) - ((sqrt(28)\/sqrt(4) + sqrt(7))*-3 - sqrt(7)))*-5).\nAnswer: -19*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ndnndnn. What is prob of sequence ndnn?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -3*a - 36, -4*a + 1 = -4*q + 25. Let u(m) = m**3 + 10*m**2 + 9*m + 21. Let v be u(a). Put v, -2\/5, 4 in descending order.\nAnswer: v, 4, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -2086\/173 in increasing order.\nAnswer: -2086\/173, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o**2 + 2*o**2 + 2*o**2)*(-269 + 9*o - 4*o + 1336 - 10*o).\nAnswer: -15*o**3 + 3201*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 364 and 29372.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2167774177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 + 7*x**2 - 2*x + 4. What is the remainder when 88 is divided by q(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.4 - -4.6. Let f = t - 1. What is the smallest value in f, -3, -3\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**2*n)**(-8)\/(n\/n**(-2))**(-35) assuming n is positive.\nAnswer: n**105","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 321  (b) 50  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -195942, -783699, -1763266, -3134643, -4897830, -7052827, -9599634?\n\"Answer: -195905*n**2 - 42*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the first derivative of -q**3\/3 + 5*q**2\/2 + 3. Let h(n) = -7*n - 2. Let y be h(-1). Let v be p(y). Solve -3*f = -9 - v for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48*l - 47*l - 25 = 0. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8733 (base 13) to base 2.\nAnswer: 100100101110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 13*d**2 - 344*d - 3160. Let o be x(-9). Sort 3, -4, o, 2 in decreasing order.\nAnswer: o, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 250*m - 11621. Give k(46).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1613, -4\/5, 3\/2, 4 in decreasing order.\nAnswer: 4, 3\/2, 0.1613, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -689*y. Let q(d) = -7908*d**2. What is j(q(m))?\nAnswer: 5448612*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, 35, 1\/574 in ascending order.\nAnswer: 1\/574, 26, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 480*m - 476*m. Let z be (15 + -9 + -10)*-4*m. What is the highest common factor of 60 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26714577?\nAnswer: 3, 127, 70117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(0 + -2*sqrt(112) - sqrt(112)))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 - 155 = 9*l. Let f = l - -18. Is ((-892)\/(-8))\/(f\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*d - 23 = -4*h + 18*d, -31*h = -0*d + 2*d - 68 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1528*w + 3*y = -1526*w + 2*y - 19, -3*w + 2*y = -27 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 67\/134*0\/(2*1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 862 and 2422.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -243*i**3 + 2*i**2 + 9. Let t(g) = -484*g**3 + 4*g**2 + 19. Give -17*h(c) + 8*t(c).\nAnswer: 259*c**3 - 2*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 1 - (-7 - (17 - 29)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -10166*f - 4278. Let z(h) = 5084*h + 2093. Let t(u) = -2*v(u) - 5*z(u). Differentiate t(n) with respect to n.\nAnswer: -5088","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -2  (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -4*s + 4*s + 3*s - 4*s - 2. Let y(c) = c. Let l(u) = u**3 - 5*u**2 - 6*u + 1. Let t be l(6). Calculate t*k(x) + 3*y(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of -6*-179*(35\/20)\/(6\/8) and 2864.\nAnswer: 20048","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.059178+-8\nAnswer: -7.940822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1301935)\/(-1753320) + (-6)\/(-32)*-4. Let u = m - -2\/2307. Which is smaller: -0.2 or u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(2\/6) - 1. Let s be (54 + (-2 - 0))*-1. Let r be s\/84 - (-3)\/9. Sort r, x, 5.\nAnswer: r, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 5*c - 20 = 44, 64 = u - 2*c. Let d(h) = 3*h**2 + 3*h + 3. Let y be d(4). Are u and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 5*m = -13 - 7, 20 = 5*m. Suppose o = 2*z - 3*z. What is the second derivative of z*p - 3*p**4 - p + 6*p**4 wrt p?\nAnswer: 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6927168 centimeters in millimeters?\nAnswer: 6.927168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -115.89997949 + 115.9. Round l to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -684240372\/553 - -1237324. Let z = -6\/79 - x. What is the closest to z in 1\/3, -1, 1\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*j**3*r*t + j**3*r*x + 7*j**3*t*x**2 + 3*j**3*t + 176*r*t*x**2 + 4*r*x - 74*r + 39*t*x**2 wrt x.\nAnswer: 14*j**3*t + 352*r*t + 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/30 and -17\/31425?\nAnswer: 62850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-14)\/35 - (-8734)\/10. Let m = b + -6098\/7. Calculate the common denominator of m and (6\/(-8))\/((-9)\/(-62)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = -355 + 359 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 18\/68773 and -89\/4?\nAnswer: 275092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**2 - 12*x + 57*x**2 + 12*x - 2*x**3.\nAnswer: -2*x**3 + 56*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17455297 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19486 + 19486.000034764. What is q rounded to seven dps?\nAnswer: 0.0000348","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 383918 is divided by 1846.\nAnswer: 1796","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*v + 431*v - 2478*v + 9840 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 63 + -64 + 0 + -99 + (20 - 17)\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 696793.99934 - 696875. Let l = 86 - 5. Let c = h + l. Round c to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 738516927 less than 34.533?\nAnswer: -738516892.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (7 + -7 + -6 - (-7 + 9)) + -12?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 78 and 417222.\nAnswer: 417222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0)*(0*x - x - x) + 5 - x - 5 + (-3 + 3 - 2*x)*(-4 + 1 + 1).\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 16666416 a multiple of 3489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4769855.\nAnswer: 5, 19, 23, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 9*z - 2. Let t(q) = 2*q. Let k(a) = h(a) - 6*t(a). Calculate k(7).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -165137.225 rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3312739?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) + (sqrt(3) - 3*sqrt(3) - sqrt(3)) + -2 - sqrt(3)) + -1 + sqrt(75).\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3963, 7927, 11891?\n\"Answer: 3964*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4500*x**2 + 3205*x**2 + 2240*x**2 + (-x + 5*x - 2*x)*(2 + 2*x - 2).\nAnswer: 949*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 5*u - 85 - 50 = 0, -3*t = -u + 222. Let y = -29 - t. List the prime factors of y.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.02*83321.8.\nAnswer: 1666.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 62094392 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = 23*s**2 + 5*s + 23. Let n(i) = 4*i**2 + i + 4. Let l(d) = 6*f(d) - 34*n(d). Find k, given that l(k) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 i and 1 d when four letters picked without replacement from {j: 1, i: 3, d: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 5e1 (base 16) to base 7\nAnswer: 4250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.04 + 4.8. Let t = f + 0.23728. Round t to four dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 271*k + 12 - 12 - 1088*k - 723*k - 329*k.\nAnswer: -1869*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26*a**2*g**3 + 1305*a**2*g**2 + 3*a**2*g - 82*a*g**2 - a + 271*g**3 wrt a?\nAnswer: -52*g**3 + 2610*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*r + 37 - 6*r - 36 + 22*r.\nAnswer: -23*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 1061397 to the nearest 1000.\nAnswer: 1061000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 51471838 and 20141154.\nAnswer: 463246542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.108694 rounded to two dps?\nAnswer: -1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.09  (b) 0.1  (c) 0.2  (d) -24  (e) 62\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -309071 (base 15) in base 13?\nAnswer: -62aa51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2. Let d(n) = -1679*n**2. Calculate m(d(j)).\nAnswer: 2819041*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {v: 2, z: 9}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1854, -3724, -5602, -7488, -9382, -11284?\nAnswer: -13194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.3, -2074, 1\/3, -0.4, 3, -82\/7, 1?\nAnswer: -82\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -6301581 times -0.1?\nAnswer: 630158.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 850\/(-25)*(-1)\/2 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l + 2. Let m be d(8). Let z be 2\/m + 96\/20. Suppose -381998 = 2*i + v, z*i - v = -1318275 + 363273. Round i to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*w**2\/3 - 4030*w\/9 - 96866\/3.\nAnswer: -2*(w + 231)*(6*w + 629)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**2 - 3*o**2 + o**2 + (5*o - 3*o + 0*o)*(-1 - 2*o + 1) + 0 + 2*o**2 + 0 + 3*o**2 + 0*o**2 - 5*o**2 - 138 + 31 + 909*o**2 - 911*o**2.\nAnswer: -5*o**2 - 107","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (4 + 2 - 2) + -4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 541 - 534. Which is the nearest to s?  (a) 22  (b) 0.1  (c) -2\/11  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -270, -370, -460, -534, -586, -610, -600?\n\"Answer: j**3 - j**2 - 104*j - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of -s**5\/5 - 14*s**4\/3 - 98*s**3\/3 + 6*s - 2. Let b(k) = 0. What is k?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.022, 0.144, 2, 21?\nAnswer: 0.144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r - 4 + 4)*(0*r + 0*r - 2*r) + 1 - 2*r**2 - 1 + (-2*r - 2 + 2)*(r + r - 4*r) - r + r + 2*r**2.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 8e + -15?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -73*v = -66*v - 434. Calculate the remainder when v is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 106 is divided by ((-81)\/6)\/(6\/(-16)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 2*i - 2. Let x be n(-3). Let f(g) = -10*g - 3. Let p be f(x). Let u be (-10 + 8)\/(1*2) - -12. What is the greatest common divisor of p and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00086808 to 5 dps.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -13709, -10779, -7849, -4919, -1989?\nAnswer: 941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1074 and 1804857?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 33220000 rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**3 + 14*w**2 - 15*w + 14. Calculate q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9979 is divided by 46?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1289?\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 23*l - 162. Let i be q(7). Put -757, 1, i, -4 in decreasing order.\nAnswer: 1, i, -4, -757","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -5*y - 5. Let o(z) = -6*z - 5. Let r(k) = -2*o(k) + 3*s(k). Let u be r(-9). Suppose 5*d - u = 18. Calculate the remainder when 12 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4090 + -3386. What is the greatest common factor of n and 440?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4ac51e (base 15) in base 7?\nAnswer: 42322034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1.3 - 0.7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1020220200 + 0?\nAnswer: -1020220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1094 (base 10) in base 3?\nAnswer: 1111112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 95279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f. Let i(k) = -k. Let h(p) = -5*a(p) - 6*i(p). Let u(n) = -7*n. Calculate h(u(z)).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 254*g - 748 = 1101 + 183 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmkk. What is prob of picking 2 m?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -255 and 158374?\nAnswer: -40385370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -35180, -140550, -316168, -562034, -878148, -1264510, -1721120?\nAnswer: -2247978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 1122.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2816\/44 - 59)\/(15\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -22, -52, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(-2*sqrt(720)) - ((sqrt(1200) - -3*sqrt(1200)) + sqrt(1200) - sqrt(1200))\/sqrt(6).\nAnswer: -961*sqrt(2)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -17, -2\/15, 1\/6, -5\/2, 37 in increasing order.\nAnswer: -17, -5\/2, -2\/15, 1\/6, 2\/7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -100*v + 84 = -121*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 9\/(-1) + (145 - 124). Solve 0 = -4*h - t - 11, b*h = 14*h - t + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0026312 rounded to five dps?\nAnswer: 0.00263","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16.433 - -16.3. Let l = -3.09 + 3.057. Let z = w - l. Which is smaller: z or -0.33?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.4  (b) 0.3  (c) -1\/7  (d) -0.08  (e) 16631  (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**2 - 5*k - 280.\nAnswer: 5*(k - 8)*(k + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.2 and -206.\nAnswer: -205.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -256 - -257. Let k(t) = -t**3 - 5*t**2 - 4*t. Let c be k(-4). Suppose 2*z + 3*z + 25 = c. Put 2, z, n in descending order.\nAnswer: 2, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -7*x - 9*x - 1 - 5*x + 6 + 16*x. Let k(t) = t - 1. Determine -6*k(i) - l(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 45 and 59.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -19325.3 to the nearest one hundred.\nAnswer: -19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3175555115.\nAnswer: 5, 67, 73, 129853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -23 + 27. Solve -2*w + 0*s - s - 3 = 0, -15 = v*w + 5*s for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 4950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*6\/16*(-184)\/690.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 50826\/215*(-40)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25855*r + 1 + 4*r**2 + 74*r**3 - 25855*r - 3*r**2.\nAnswer: 74*r**3 + r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 4*n**3 - n**2 - 3*n + 2. Let a(p) = -p - 4. Let r be a(-6). Suppose 42 = 5*i - 23. What is the remainder when f(r) is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 335\/35 - 9 - 1448\/(-14). Solve -106 = -2*m - s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 - -2. Let g = w - -0.1. Let d = 99 + -98.7. Which is the closest to 1?  (a) d  (b) g  (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 82 divide 34330554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -11198 + 11197.6. Which is the smallest value?  (a) -3  (b) l  (c) -37  (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2948.40639 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2035470 rounded to the nearest one hundred thousand?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 12 = -p, 0 = -3*p - 2*u + 1047 - 1021. Solve -y - j = 2, 0 = 14*j - 12*j - p for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 1 = -2. Let r = 1.8 - 1.42. Let u = -0.08 + r. What is the closest to c in -1\/11, u, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36460 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 243493\/21 + -11595. Put y, 5, -242 in ascending order.\nAnswer: -242, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + 3. Let q be z(-3). Let l be (-14)\/(-6) + 2*q\/12. Factor -10\/3*h**2 - 8\/3*h**3 - 2\/3*h**4 - l*h + 0.\nAnswer: -2*h*(h + 1)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -5. Let u be (2\/(-5))\/(2\/(-20)). Suppose 3*o - 8 = -4*q + o, -3*q + 1 = u*o. What is the remainder when q is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*o*r - 402343790*o - 425622798*r with respect to r.\nAnswer: -2*o - 425622798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/21 - 7384376*o\/21 - 6816126113672\/21.\nAnswer: -2*(o + 1846094)**2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4*b*q**2 + 2*b*q + 10*q**5 + 42*q wrt q?\nAnswer: 8*b + 200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 146744428 to the nearest integer?\nAnswer: 12114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 224 > 240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1708 - 252 = -11722*j + 11652*j for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 59, -50, -195, -382, -617?\nAnswer: -906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 713 - 772.5. Let x = h + 59.4. Which is the closest to -6.2?  (a) 2\/5  (b) -1\/3  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 6 = 0, -3*k - 3*x = 5 - 2. Let u be 10*(3\/(-2))\/k. Let s(v) = v**2 + 4*v - 2. Let c be s(-3). Sort -3, u, c.\nAnswer: c, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 1 + 0)*(-2*k**4 + 25*k**4 + 12*k**4).\nAnswer: 70*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 6*z**2 + 8*z + 7. Suppose 0 = -3*v - 8 - 13. Let l be m(v). Let p(n) = -n**3 + n**2 - 6. Calculate p(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.1, 193, 1\/7, -0.29?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1406401+-1486825\nAnswer: -80424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -104 times -7561\nAnswer: 786344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -2.1. Let t be (-16)\/42*6\/8. Which is the nearest to t?  (a) 0  (b) 0.4  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 49 - 49.008. Let p = -0.024 - g. Let m = -14.584 + p. Round m to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qg when two letters picked without replacement from aagqsqgmaassgg?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2548 - 1440. Suppose -7*f = -5*f + s. What is the tens digit of f\/(-10) - 2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 5*s = -j - 3, 3*s = 2*j - 27. What is the second derivative of -5*m + 5*m**5 - j*m**4 + 5*m**4 + 4*m**4 wrt m?\nAnswer: 100*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9632 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 5*j = -32, 5*q - 2*q - 24 = 3*j. Suppose 0 = 4*s - 8 - q. Suppose -170 = -s*l - 60. Which is smaller: l or 24?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -7*c*f**3 + 57*c*f**2 - c*f - 16274*c - 1183*f**3 + 5011*f**2 + 3*f wrt c?\nAnswer: -7*f**3 + 57*f**2 - f - 16274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -3 - 31\/(-10) - 0. Let f(d) be the second derivative of -x*d**4 - 2\/15*d**3 - 7\/75*d**6 + d + 0 + 0*d**2 + 6\/25*d**5. Let f(q) = 0. Calculate q.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36\/8)\/((-15)\/30).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*f - 25*s + 358 + 539, -32*f - 119 = -34*f - 3*s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*d + 203606 = -49*d + 202803 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 305 minutes after 2:00 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -341\/5 - -68. Is x at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 + (21 - -33) + 16?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -1277*m + 5105. Let u be d(4). Let i be (2\/13)\/(-1 + -1). Let h = -1 - -0.5. What is the nearest to 0 in u, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4634 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -124.7 - -125. Which is the third biggest value?  (a) k  (b) 8  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = g + 4018, -1002 = -0*v - v - g. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 6*r + 5*r - 479 = 0, -2*p - 4*r = -226. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - 2a1?\nAnswer: -2a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 275300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 57 - 57. Suppose -9*i - 2*p = -5*i - 10, u = i + 4*p + 1. Let k(a) = a**2 - 5*a - 2. What is the smallest common multiple of k(6) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**2 + 40025*k + 14776980.\nAnswer: 5*(k + 388)*(k + 7617)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - -3d05?\nAnswer: 3d03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -148326740 to the nearest 100000.\nAnswer: -148300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 5*a + 1149 - 7418, 3*c - 2*a = 9375. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 15) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r + 6. Let n(m) = -m - 16. Let h be n(-19). Let p(a) = -a. Give h*p(q) - v(q).\nAnswer: -2*q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/(-14))\/((-74)\/(-3626)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 5*j**2 + 4*j + 1. Let z be (-10)\/(-10) + (-3)\/(-1). Calculate the remainder when a(-3) is divided by (-3)\/z + 390\/40.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 - 111011000002020121?\nAnswer: -111011000002020112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -54*n + 2641 = 1723 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2217839 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + c + 4 + 18, 3*c + 26 = -5*o. Put -3, -7, o, 2, 1 in descending order.\nAnswer: 2, 1, -3, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 298170*t**3 + 62133*t**2 wrt t.\nAnswer: 1789020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69.50051 millilitres to litres.\nAnswer: 0.06950051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*p - 289 + 310 = 0. Put 2, p, 124 in decreasing order.\nAnswer: 124, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.07 times 69?\nAnswer: -4.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -1393*v + 5576. Let n be a(4). Let k(c) be the third derivative of 1\/4*c**4 + 0 - c**2 + 0*c - c**3. Give k(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -10*j + 12. Let s(z) = -z + 1. Let n(m) = g(m) - 6*s(m). Determine n(7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddd. Give prob of picking 3 d.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.2 times 74?\nAnswer: 1420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 51946.\nAnswer: 2, 19, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -809 and 106237?\nAnswer: 107046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 * -7.6592425.\nAnswer: 15.318485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3417264 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 - 1. Suppose -2*u + 0 = -4. Let j be s(u). Put j, -1, 3, 4 in ascending order.\nAnswer: j, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + -553033044?\nAnswer: -553033035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5.65 + 0.35. Which is the biggest value?  (a) g  (b) 2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 35, 71, 95, 101, 83, 35?\n\"Answer: -n**3 + 43*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 29*j**2 - 1734*j + 225. Give m(59).\nAnswer: -1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-6)\/9)\/((-1)\/30). Suppose 5*s - q - r = 2*q, -4*q + 12 = 3*s. Suppose -s*d + 17 + 15 = 0. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 688 and 32508.\nAnswer: 130032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/34 and 35\/24?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1051, 5241, 16609, 38743, 75231, 129661, 205621, 306699?\n\"Answer: 598*c**3 + c**2 + c + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1465 or -19053\/13?\nAnswer: -19053\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -t**3*u**2 - 540*t**3 - 1138*t**2 - 6932*t*u wrt u.\nAnswer: -2*t**3*u - 6932*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 433 + -428. Let x(n) be the second derivative of -1\/60*n**6 - n - 3\/40*n**g + 0 - 1\/12*n**3 - 1\/8*n**4 + 0*n**2. Factor x(v).\nAnswer: -v*(v + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + 20\/12)*(-232 + 1). Let p = 914 + q. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2420 is divided by 1175?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 10 - 152 = 0. Let p = a + 48. Let m = p - -39. Solve 5*k = 5*i, -i + 2*k - m + 3 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 12) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - 465397?\nAnswer: -465399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 10063300 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes before 4:16 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 0 + -1 + sqrt(637))**2 - ((1*sqrt(975) + sqrt(975) - sqrt(975))\/(1*sqrt(75)))**2.\nAnswer: -14*sqrt(13) + 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((x**(-18)\/x)\/x)**15)**(-17\/2))**(-8) assuming x is positive.\nAnswer: x**(-20400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, 0.04, 0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of -h**7\/420 - h**5\/120 - h**3 - 3. Let v(w) be the third derivative of x(w). Find the second derivative of v(i) wrt i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2434*c + 2425*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from {z: 1, w: 1, b: 2, y: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l**4 - 4*l + 4*l + l**3 - 18*l**4 + 23*l**2 - 23*l**2 + (3*l**3 - l**3 - 3*l**3)*(0*l - l + 2*l))*(1 + 0 - 2).\nAnswer: 23*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -4*t - 35. Calculate l(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -18 + 13*i - 17 + 34 + (4 + 0 - 5)*(2*i - 6*i + 5*i) - 3*i + 3*i + 2*i as o*i + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 51. Let x = 72 - o. What is the derivative of 33 - x + 0*b**3 - 20*b**3 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 45411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 9, z: 10}. Give prob of picking 2 o.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3502729, -7005456, -10508183?\nAnswer: -14010910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 5*s**3 - 5*s**2 - 7*s + 3. Let m(l) = 9*l**3 - 9*l**2 - 13*l + 6. Let r(x) = 6*m(x) - 11*n(x). Is 21 a factor of r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.06 - 0.3. Round o to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -949 in 4\/9, 0, 0.07, -27, -1\/4, -2\/5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 - q + 3. Let y be c(0). Let t be y\/4 + 5\/(-5). What is the closest to -0.1 in t, -3, 1\/2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 a factor of 60044982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 5, o: 1, h: 4}. Give prob of sequence ho.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -241011 + -244?\nAnswer: -241310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -50*i - 40 + 78*i**2 + 4 - 9 - 83*i**2.\nAnswer: -5*(i + 1)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 117 - -62. Let m = -170.9 + y. Let d = m + -8. What is the closest to d in 0, -1\/4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1666 is divided by 186.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7321491601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5114, 5106, 5096, 5084, 5070?\nAnswer: 5054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7*c*g**4 + 250859*c*g**2 - 142*c + 458 wrt g?\nAnswer: 28*c*g**3 + 501718*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Sum 3062790 and 431109.\nAnswer: 3493899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -20270 + 59877579\/2954. Let t = c + 183151\/8862. Find the common denominator of t and 4\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457272399 to the power of 1\/3, to the nearest integer?\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 12:47 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1360 and 4569680.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (579\/386)\/(1 + (-7767)\/7762). Let y = 2329 + v. Factor 1\/10*x**2 - 3\/10*x - y.\nAnswer: (x - 4)*(x + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 976, 1953, 2932, 3913, 4896, 5881?\nAnswer: 6868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 - 6)*(v - v - 2*v + 5)*(97 - 223 - 209).\nAnswer: -6700*v + 16750","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/156 - (4\/(-14) + 82\/42)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3\/12 + (-7)\/(-4). Let s be 2\/p - (-6 + 5). Solve 6 - 18 = -2*u - 2*x, -x + s = -3*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1110 (base 4) to base 14\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 2458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (((sqrt(143) - (sqrt(143) + (sqrt(143) - sqrt(143)*1))) + sqrt(143) - sqrt(143))*1)\/(sqrt(396)*-4) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5\/(15\/2)*(-2)\/2. What is the smallest value in 2, -5\/2, a, 1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7157.\nAnswer: 17, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -211*h + 216*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.0411 - -0.0084. Round b to three dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 49844 and 155637890?\nAnswer: 311275780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (147\/(-28))\/(1*(-6)\/8). Suppose r*a = 1054 + 220. Calculate the greatest common factor of a and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-884)\/85)\/(3\/(-105)). Suppose 3*k = 10*k - m. Calculate the smallest common multiple of 4 and k.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.8828*-0.4.\nAnswer: 0.35312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2097, 4196, 6295, 8394, 10493?\n\"Answer: 2099*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p - 3*p = -4*z - 42, 2*p = -5*z - 61. Let n(v) = -3*v + 7. Suppose -16 = -r + h - 7, 0 = -3*r + 5*h + 33. Let d be n(r). Is d >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 2\/5, -3, 4, -3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jttytvvvatv. What is prob of sequence vj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18977 + 18986. Solve a = 14*t + 79 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 7. Suppose y = -5*k - 5 + 25. Suppose 5*m = -k*t + 40, m + t = 4*t - 11. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 5\/3  (b) 21  (c) 38  (d) 338\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 1402171, 1402205, 1402239, 1402273?\n\"Answer: 34*v + 1402137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the first derivative of 31*b**4\/4 - b**2 - b + 5. Let t be l(-1). Let x be ((-4)\/t)\/(4\/(-25)). Which is smaller: 2\/3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of -1 + -20 - (-32947 + -169)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 620\/3211 or 0?\nAnswer: 620\/3211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*u - 6*u + u)*(3*u - 3 + 3)*(-5*u + 4*u - 3*u) + 2*u - 2*u - u**3 + (-1 + 1 - 2)*(-3*u**3 + 4*u**3 - 2*u**3) + 4*u**3 - 4*u**3 - 2*u**3.\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 7*y + 8*y = -y - 20, 105 = 5*g + 11*y for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/(-12)*((-20)\/(-6) - -1) and 2*((-366)\/64)\/3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 0.5498513 kilograms?\nAnswer: 549.8513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -516*s = -642*s + 126 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*c - 80 = -10*c. What is d in 61*d**2 - 4 + 1083*d**3 + 4 + c - 64*d + 72*d**2 = 0?\nAnswer: -1\/3, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - -2c97b189?\nAnswer: 2c97b185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 180*b - 2146. What is x(9)?\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -181 + 1311. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 104*u - 80*u + 72. Let p(l) = -10*l**3 - 76*l**2 - 16*l - 16. Let k(y) = -2*y**3 - 15*y**2 - 3*y - 3. Determine u*p(c) + 16*k(c).\nAnswer: -2*c**3 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*g**3 - 36*g**2 + 36*g**2.\nAnswer: -11*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -35\/6 - -16\/3. Let l = 1.2 + -2.24. Let s = l + 0.04. Which is the nearest to k?  (a) -0.1  (b) s  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times -7114?\nAnswer: -711.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 37127710 + 5?\nAnswer: 37127715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -42\/29 + 6290\/4263. Let r(i) be the second derivative of 0 - s*i**7 + 1\/42*i**4 + 0*i**2 - 3\/35*i**5 - 3*i + 3\/35*i**6 + 0*i**3. Factor r(y).\nAnswer: -2*y**2*(y - 1)**2*(4*y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/3 - 6\/(-9). Suppose -3*b = 17 - 44. Let a be (b\/(-2))\/((-26)\/52). Solve 0 = l + a - o for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -7. Suppose 3*x - 8 - v = 0. Suppose -5*z = 2*q - 5*q + 12, 5*q - 20 = -5*z. Solve q*h = x*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -23*i**2 - 4*i + 54. Let n(m) = m**2 + m - 3. Calculate l(g) + 6*n(g).\nAnswer: -17*g**2 + 2*g + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -5\/3. Let j = -0.1 + 0.6. Let k(n) = n**3 + 8*n**2 + 13*n + 10. Let h be k(-6). Which is the nearest to m?  (a) -0.1  (b) j  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 11:15 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 12386, 13073, 13774, 14489, 15218, 15961?\n\"Answer: 7*n**2 + 666*n + 11713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = s**3 + 18*s**2 - 70*s - 593. Determine l(-20).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -9*k + 189. Suppose 56*c = 36*c + 420. Let m be j(c). Solve -5*a = 4*t - 0*t + 1, 4*t - a + 19 = m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the third derivative of m**8\/20160 + m**7\/1680 + 7*m**6\/720 - m**5\/60 + m**2. Let g(t) be the third derivative of x(t). Is g(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 2*r**2 - 12*r**2 + 9*r - 9 + 8*r**3 + 4*r**2. Calculate the remainder when w(3) is divided by 92.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 92441, 92571, 92785, 93077, 93441, 93871, 94361, 94905?\n\"Answer: -p**3 + 48*p**2 - 7*p + 92401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 4, c: 14}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 101 = 4*l + 43, 2*n - 69 = 5*l. Suppose -38 = -5*g + n. What is the greatest common divisor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1874346277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 + 8*f - 4. Suppose 0 = -y - 4*y - 45. What is the units digit of l(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 55*(-11)\/((-55)\/8). Let k(p) = 7*p + 5. Let n be k(-6). Let w = i + n. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 19*h - 51*h + 320 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -513*u + 655. Give a(2).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -1 + 10*a + 71*a**2 - 22*a + 12*a. Does 10 divide s(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.60304270032+2\nAnswer: 2.60304270032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1982\/9 - 220. Find n such that 0*n**3 + 0*n**2 - 2\/9*n**4 + 0 + a*n**5 + 0*n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 253824 + -81731441\/322. Let s = -763447\/45354 - 2\/7559. What is the common denominator of x and s?\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -2372646, -2372635, -2372624, -2372613, -2372602?\n\"Answer: 11*i - 2372657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111268797 is divided by 6221?\nAnswer: 6212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -30 - -2?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -69*d**5 - 67*d**2. Let b(z) = 69*z**5 + 66*z**2. Let x(p) = -4*b(p) - 5*v(p). What is the third derivative of x(q) wrt q?\nAnswer: 4140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2329253428 to the nearest integer?\nAnswer: 48262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -4*q + 2. Let c(a) = 5*a - 2. Let v(p) = p**3 + 3*p**2 - p + 3. Let l(b) = b + 2. Let u be l(-5). Let m be v(u). Give m*g(k) + 5*c(k).\nAnswer: k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -18972, -22242, -25512, -28782?\n\"Answer: -3270*w - 15702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 936 and 24102.\nAnswer: 96408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 13638\/9 - 40\/(-60). Let n = x - 942. What is the greatest common divisor of n and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 4)*(3*y + 0*y - 6*y)*(1 - 7 + 8).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is four thirds of a week in hours?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.4185 + 3.5815. What is the closest to 0.2 in -2, -0.4, s, -78?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*i - 11*i + 33*i - 2 in the form j*i + t and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.011 - 0.099. Let g = f - -3.601. Let b = g + 0.58. What is b rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -28\/5, -0.251, 0.056, 0.2 in descending order.\nAnswer: 0.2, 0.056, -0.251, -28\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at least 116015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor f**3\/5 - 801*f**2\/5 + 30504*f + 638780.\nAnswer: (f - 410)**2*(f + 19)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 227524266?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -4, 0, 2, 26 in ascending order.\nAnswer: -4, 0, 2, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 4, 0.748645.\nAnswer: 0.748645, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.6 and 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) be the second derivative of x**4\/54 - 7*x**3\/9 + 20*x**2\/9 + 25*x + 2. Factor j(c).\nAnswer: 2*(c - 20)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from upspzso. Give prob of sequence uo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -14*c**2 - 50*c + 28. Let f(x) = -2*x**2 - 3*x - 1. Let n(y) = -4*f(y) + 2*p(y). What is a in n(a) = 0?\nAnswer: -5, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**2 + 14*c - 18. What is n(22)?\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -863, -3616, -8205, -14630, -22891?\nAnswer: -32988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -4*b**2 + 3*b + 5. Let u = 4093 - 4094. Let a(n) = n**2 - n - 1. Give u*f(h) - 6*a(h).\nAnswer: -2*h**2 + 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 271 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -185*o + 2. Let u(y) = -878*y + 8. Let z(a) = 19*i(a) - 4*u(a). Let d(p) = -2*p + 5. What is -5*d(t) + 4*z(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 1 - 10 - 12 - 2*w**2.\nAnswer: -2*w**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 122416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 4\/433 in 0.5, 2, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 10294 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -200 + 430?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in twenty-one fifths of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 317227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4, -5, -14?\n\"Answer: -9*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(432) + 2 - sqrt(432) - (sqrt(432)*-1 + 5)**2.\nAnswer: -454 + 120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 60*w - 16*w + 132 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 5:54 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = 5*n - 100. Let l be i(21). Let t(j) = 2*j**3 - 5*j**2 + 2*j - 9. Let y(w) = -w**3 + 3*w**2 - w + 5. Let r(c) = 2*t(c) + 5*y(c). Calculate r(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 95 - 93. Let t(q) = -3*q**2 + 2*q - 5. Let u(j) = j**2 + j. Let y(n) = v*u(n) + t(n). Determine y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14160)\/888 - (-20)\/(-370)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 427279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11101010001111101 - -10101110?\nAnswer: -11101001111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1*-35\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a century in months?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**5 + v - 1. Let n(q) = 4*q**5 + 9*q**4 + 3*q - 3. Suppose -2*l = 4*l + 24. Let b(f) = l*n(f) + 12*g(f). Factor b(p).\nAnswer: -4*p**4*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -736*u**2 + 68*u. Let q(z) = 367*z**2 - 27*z. Determine -5*q(a) - 2*w(a).\nAnswer: -363*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor -69*r**2 - 74538*r - 19440.\nAnswer: -3*(r + 1080)*(23*r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) be the third derivative of z**5\/60 - z**4\/3 + 7*z**3\/6 + 878*z**2 + 9*z. Let l = -11 + 15. Suppose 0 = l*o + 2*g + 3*g - 30, 6 = 3*g. Give d(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 3*h - 6*h**2 - 7 - h + 2*h**3 - h**3 + 0*h. Let t be p(5). Let i = t + 77. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -l**9\/3024 + l**5\/30 + l**4\/3 + 15*l**2. Let q(t) be the second derivative of n(t). Differentiate q(d) wrt d.\nAnswer: -20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*q - 4*q - q**2 + 11)*(-q**2 - 3*q**2 + 5*q**2).\nAnswer: -q**4 + 11*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 608 = -j - 4*z, 5*j - 5*z = 3040. Let m = j - 617. Let i(r) = -r**2 - 8*r + 7. Give i(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 12.5 + -12.5. What is the nearest to 2\/5 in -9, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 - 14*x + 18. Let k(b) = -b**2 + 7*b + 3. Let d be k(5). Let n be g(d). What is the derivative of 2*y**3 - y**3 - n - y**3 + 12*y**4 wrt y?\nAnswer: 48*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 1153*x + 146617. Give h(-126).\nAnswer: 1339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**5 - 2 + 2 + 6*j**5 + 10*j**3 - 15*j**5 + 2*j + 7*j**5 - 3*j**4 + j**5 + 3*j**4 + (-4*j**3 - 4*j**3 + 4*j**3)*(-j + j - j**2) - 6*j**5 + 6 - 6.\nAnswer: -4*j**5 + 10*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41 = -7*z - 13. Solve -z*l = 5*c + 16, 4*l - 2*l = -3*c - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -601699, -1203287, -1804875?\nAnswer: -2406463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -2*c**3 - 4*c**2 + 4*c - 4. Let d be l(-3). Find the third derivative of 48 + u**d - 105*u**3 - 3*u**2 + 34*u**2 - 48 wrt u.\nAnswer: -630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 966 and 15134.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 396 is divided by 76.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -36016 + 36092. What is the remainder when 2718 is divided by m?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(6\/7)*d*d**2*d**(-4\/11)\/((d*d**7)\/d))**(-1\/14) assuming d is positive.\nAnswer: d**(135\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-336)\/(-70) - 5)\/((-7406)\/805).\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 12\/(-162) + 95\/(-540)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 89 = -3*b. Let j = b - -61. Let v be (-69)\/(-63) + 12\/j. Which is greater: -0.1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:21 PM and 8:40 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that 2*s**2\/5 + 144776*s\/5 + 46697472\/5 = 0.\nAnswer: -72064, -324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2302900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yppydyytypmtdypoy. What is prob of sequence yopp?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39266.\nAnswer: 2, 29, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -15.8 - -16. What is the closest to 0.2 in -2, -2.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 14*t**2 + 5*t + 13. Let l(m) = -7*m**2 - 3*m - 7. Let a(g) = 11*l(g) + 6*p(g). Let y be a(1). Solve -5*s + 3*k - 17 = 0, -2*s - 5 = -y*k - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9 + 9 + 8*h)*(-20*h**2 - 25*h**2 - 16*h**2 + (-2*h - 1 + h + 2)*(6*h - 2*h - 2*h)).\nAnswer: -504*h**3 + 16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -147766*p**3*x**3 + 1378*p**3*x - 166*p**3 + 2*p**2*x + 2*x**3 - 2*x**2 wrt x.\nAnswer: -886596*p**3*x + 12*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - 1 - 11374\/3795. Let z = 3\/23 + t. Determine a so that -4\/15*a - z*a**2 - 2\/15 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, d: 3, n: 6, h: 1, x: 2}. What is prob of sequence nhx?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:52 PM and 6:09 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ydm when three letters picked without replacement from yvdmd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 85158, 85172, 85214, 85296, 85430, 85628?\n\"Answer: 2*u**3 + 2*u**2 - 6*u + 85160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 3*z - 1091, -z + 2*z = -3*w - 3303. Let i = w + 43. Find the common denominator of -13\/12 and 2\/6*i\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17171?\nAnswer: 7, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52*r - 2 + 2 + 50*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 91171 and 18445?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 35 = 5*m - 2*d, -5*m + 2*d = -40. Suppose 0 = y - 0*y - m. Solve -y = -a - 2*z, -3 = 5*a - 3*z - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59.97804 years to months.\nAnswer: 719.73648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - -5) + 30\/18. Is d greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 267 + 72. Let u = l + -16. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -3*g**3 - 5*g**2 - 8*g + 5. Calculate the remainder when 225 is divided by s(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -55 + 91. Let l = -17 - -94. Suppose p + h - 53 = 0, l = 2*p + 5*h - 26. What is the highest common factor of p and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 61, 0, 2.9, 1\/12, -1 in decreasing order.\nAnswer: 61, 2.9, 1\/12, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-173208)\/(9 + -17) + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 - 5*t**2 + 8*t - 3. Let c be n(-6). Let v = -18 - c. Put -1, 19, v in increasing order.\nAnswer: v, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-10)*(-105)\/(-546).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (40*u**2 + 2 - 76*u**2 + 37*u**2)*(1 + 1 - 4) as b + g*u**2 + v*u and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 - 13 = -8*u. Suppose -u*r + 4 - 16 = 0. Let s(t) be the first derivative of 3*t**2\/2 - t - 1. Determine s(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 10*w**2 - 25*w + 147. Calculate o(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 26930\/129 + -626\/3. Let g = z - -31\/129. Let p be (2\/(-4))\/(1\/4). Which is smaller: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 235, 233, 229, 223, 215?\n\"Answer: -l**2 + l + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -840875 by -120125.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/20 of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4.6 * 0.064\nAnswer: -0.2944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**2\/c)**(2\/17)\/(c*c*(c*(c*c**(2\/11))\/c)\/c*c*c**(-6)) assuming c is positive.\nAnswer: c**(549\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -110.9 - -107. Let v be (-5)\/45 - (-66)\/(-378). Which is the second biggest value?  (a) 5  (b) f  (c) v  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1925 and 4158.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15372 + -15379. Let q(d) be the second derivative of d**3\/2 + d**2\/2 + 12*d. Give q(s).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3907 divide 104234853?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9164?\nAnswer: 2, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6 + -22. Let s = 32.256 - 0.256. Let i = z + s. Is -0.1 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 10, a: 3, p: 2, h: 2, q: 1, j: 2}. What is prob of picking 1 q, 1 p, and 1 r?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2 + 5. Suppose -3*k + 2*d = 17, 0 = 2*k - 4*k + 5*d - 26. What is the smallest value in -1, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22663 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 19*m + 16. Let h(k) = -k. Calculate s(h(a)).\nAnswer: -19*a + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add together -633 and -0.5.\nAnswer: -633.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 56\/(-26) + 4\/26. Let t be ((-4)\/6)\/(-2*i\/(-12)). Solve c - t = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 + 2.95. Let k = 0.15 + u. Let f = 8 - 6. Which is the third biggest value?  (a) f  (b) k  (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 10  (b) -2\/7  (c) -0.3  (d) -2  (e) 4  (f) -2\/339\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is a3ac (base 15) in base 6?\nAnswer: 424043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 16 = -6*j + 2*j, j = 3*v + 4. Suppose -3*l - 1 = -i, i + j*l - 1 = 2*l. Let o be 9\/(-6)*-2*i. Put 0, o, -1 in descending order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ana when three letters picked without replacement from {a: 3, p: 3, n: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.341 - 1776.659. Let x = 1777.997709 + t. Round x to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3156)\/(-11572))\/((-1)\/88).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16127856 is divided by 398.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 77.45341 millilitres?\nAnswer: 0.07745341","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/11, -15.2, 3\/5 in decreasing order.\nAnswer: 3\/5, 2\/11, -15.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from isiipissisrpdiiii. What is prob of picking 3 s and 1 r?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14 (base 8) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s, -55*s = -5*j - 57*s + 300. Calculate the lowest common multiple of 105 and j.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000196 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1\/3  (b) 10  (c) 0.3  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -513484 divided by 82.\nAnswer: -6262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 728*u + 222*u + 1457*u + 93*u as w*u + n and give w.\nAnswer: 2500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32 + -4. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23*w + 2*w**3 + 23*w + 3*w**3 - w**3 + 0*w**3 + (1 + 0 - 2)*(-w - w**3 + w) - w**3 + w**3 - 2*w**3 - 4*w**3 + 0*w**3 + 2*w**3 - 132 + 132 - 51*w**3.\nAnswer: -50*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/11792928 and 141\/175490?\nAnswer: 58964640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 5, x: 3}. Give prob of picking 2 x and 2 j.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -67*m**2. Let d(a) be the first derivative of -3*a**2\/2 - 210. Give y(d(h)).\nAnswer: -603*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 516581293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5981 - 4077. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(1\/4))**6*(x*x*(x*x**0*x*x)\/x*x)**18 assuming x is positive.\nAnswer: x**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 1, -44684 in descending order.\nAnswer: 8, 1, -44684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -10 - -18. Suppose -d + 0 = 4*j. Calculate the remainder when 33 is divided by 21 - ((j - -8) + -3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 11*c = 693. What is the third derivative of -126*o**2 - 37*o**2 - c*o**4 + 243*o**2 - o**6 wrt o?\nAnswer: -120*o**3 - 2376*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4879506*y - 5*y**2 + 4879506*y.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - -10. Let d = 14 - s. Let w = 6 + 0. What is the lowest common multiple of w and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oox when three letters picked without replacement from {l: 1, p: 6, o: 2, x: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 4 = 2*m, -2*q - 16 = 3*m + 2*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3.46, 0.08, 1\/3, 990, 2.6 in decreasing order.\nAnswer: 990, 3.46, 2.6, 1\/3, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -264 = 2*z - 254 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -260 or -11?\nAnswer: -260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 3*q + 40. Let x = 119\/4 + q. Which is smaller: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 240 and 224040.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/9)\/(6\/(-18))*12\/8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -w**4 + 2*w**3 - 3294*w + 1501.\nAnswer: -4*w**3 + 6*w**2 - 3294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 5*z - 4 + 11, 5*z - 5 = 0. Which is the smallest value?  (a) 5  (b) i  (c) -5  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 17610 - 376. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 87 - 1413*b + 79 - 166 to j + g*b and give g.\nAnswer: -1413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q + 1. Suppose 0 = j - 3*j + 4. Let u(b) = 0*b + 5 + b**j + 0*b**2 - 8*b. Determine 6*h(i) - u(i).\nAnswer: -i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2310992, 4621963, 6932934?\n\"Answer: 2310971*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -2156, -2167, -2178?\n\"Answer: -11*q - 2145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-2\/3))**(2\/89)\/(r**(-2\/25)*r*r\/r**(-1)))\/((r*r\/(r\/(r**0*r)))**(1\/59)\/(r**(-1)*r*r**(1\/2)*r*r)) assuming r is positive.\nAnswer: r**(-369313\/787650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -664.4 + 859. Let r = 195 - c. What is the nearest to r in -2, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 99684 and 1134?\nAnswer: 2093364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + (21 - 12) + 3 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -2203, -4598, -7127, -9790, -12587?\n\"Answer: -67*p**2 - 2194*p + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*c*p**2 + 90*c - p**3 + 7*p**2 wrt p.\nAnswer: -6*c*p - 3*p**2 + 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -11, -13?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-80)\/2*(-20)\/((-2560)\/(-96))*6\/81.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 4*c - 9. Suppose -62*z - 18 = -65*z. What is y(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-27)*(-33561)\/3390?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-11)\/q)\/(q*q**13)*(((q*q\/(q**(-5\/7)*q)*q*q)\/q)\/q)\/((q*(((q**(1\/3)\/q)\/q)\/q)\/q*q*q)\/q) assuming q is positive.\nAnswer: q**(-475\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2.77 + 2\nAnswer: 4.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**2 + 10*b - 6. Suppose 0 = 3*k - 2*g + 6*g + 848, 3*g = -3*k - 843. Let n = 284 + k. Calculate m(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((sqrt(168)\/sqrt(6))**2 + (sqrt(63)*-5)**2 + sqrt(343)*-3 + 1 + (sqrt(42)\/sqrt(6))**2).\nAnswer: -42*sqrt(7) + 3222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 1:01 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1331617\/780 less than or equal to -1708?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6.3 - 3.4. Let f = 3 - p. Which is the nearest to f?  (a) -2  (b) -0.4  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9.8 - -10. What is the closest to -7 in 5, a, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r + 10. Let q be c(1). Let w = -154 - -258. Suppose w = q*b - 247. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 30 = -5*h + 5, 3*h - 5*m - 21 = 0. Find the first derivative of 9*s + 29*s - 84 + 24*s**4 - 26*s**4 - h*s wrt s.\nAnswer: -8*s**3 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 2:59 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 431888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*k**5 + 20*k**2 - 20*k**2 + (6*k**2 - 4*k**2 - k**2)*(k**3 + 0*k**2 + 0*k**2).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 5*f = -60, -a + 4 = 3*f - 60. What is the remainder when a is divided by (20\/25)\/((-2)\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r = 2*i + 4, 107*i = 90*i + 5*r - 61 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q - 4*q + 5*q)*(-6*q + 0*q + 3*q) - 549 + 64*q**2 + 549.\nAnswer: 52*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1710 and 12?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1331847 = 20*l + 86*l - 7*l. What are the prime factors of l?\nAnswer: 11, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 782?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*-4*((sqrt(432)*-1)**2 + 3 + 4 - (5 + -2*sqrt(363) + 3)).\nAnswer: 264*sqrt(3) + 5172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(76)*-3 + 5 + -1*(1 + sqrt(76) + 2).\nAnswer: -32*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1313*w = 455*w - 22325 - 32587 for w.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 388 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 28*t**2 - t**3 - 36*t - 18 - 17*t + 6*t - 70. Does 42 divide d(26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 AM and 11:24 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -17242877.\nAnswer: -2\/17242877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*2*4\/(-32).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 810 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/18*-5 + 40\/48?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 4*g + 9. Let u be k(-8). Let z be 1\/1 + (u - -17). Let f(w) = -w**3 - w**2 + 12*w + 16. What are the prime factors of f(z)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 370627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 36*i**2 - 9*i + 20. Is 12 a factor of q(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.078 - -0.922. Which is the nearest to 0.3?  (a) 0.4  (b) -4  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -6773*x**3 - 5*x**2 - 4*x - 5. Let u be f(-1). Which is bigger: 6769 or u?\nAnswer: 6769","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.7, -2709, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3871\/21 - 2\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000103022 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != 49\/9519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-13)\/(-65) - (2\/(-4) - (-792915)\/(-50)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.26 - 3.26. Which is the third biggest value?  (a) -1  (b) u  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 - -157357?\nAnswer: 157358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (1*3)\/((-3)\/(-135)). Suppose 4*k - 2*k = -4*n + 72, -n = 5*k - l. Calculate the greatest common divisor of k and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-6))\/(25\/((-43200)\/(-24))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 826150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Divide 34471740 by -3.\nAnswer: -11490580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - -5) + 8 - 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 275856 to the power of 1\/2, to the nearest integer?\nAnswer: 525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 1 r when three letters picked without replacement from rqyyqna.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*q - 22 = 114*q + d, 5*d - 30 = 5*q + 10*d for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -11 - 14 + w**3 - 2*w**3 - 2*w**3 + 2*w**3 + w**3 - w**3 + 5*w**3 - 3*w**3 + (2*w - w - 2*w)*(-2*w**2 - w + w) + 2*w**3 - 4*w**3 + w**3.\nAnswer: 2*w**3 - 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**3 - 10*x**2 - 8*x + 12. Let m be i(-9). Suppose -4 = -4*v - 4*w, w - 6*w - 4 = -4*v. Suppose 3*s - 61 = -k, m*k - 2 - v = 0. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 134 + -133.8. Let z = q - 0.5. What is the third biggest value in -2\/19, z, 5, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gbacavbs. Give prob of picking 1 c, 1 a, 1 g, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:49 PM and 7:35 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 25\/2 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-78)\/143 + 228\/176. Which is the closest to -1\/15?  (a) 1  (b) -1  (c) g  (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 92 - 48 - 45 + 26*h.\nAnswer: 26*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27059 - -47121. List the prime factors of z.\nAnswer: 2, 7, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 75466560 and 90?\nAnswer: 226399680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 354 and 8941686?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 389602 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 30871347 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 299*(((-3)\/(-9) - (-22)\/6) + -3). What is the greatest common divisor of p and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 11.409 and -687716283.\nAnswer: -687716271.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from htppmpparmpmt. Give prob of sequence atm.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9 + 16. Let k be 56\/16*8\/f. Suppose -2 = -n, 3*n + 1 = b + n. Solve -k = b*t - 29 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 3, b: 11}. Give prob of picking 2 d.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -98448, -98444, -98440?\nAnswer: -98436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 2520, 1, 40 in increasing order.\nAnswer: -2, 1, 40, 2520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27 and 93267.\nAnswer: 279801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6 + 5.2. Let l = -14.6 + 15. Sort -5, l, c in increasing order.\nAnswer: -5, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 55462.\nAnswer: 2, 11, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 4*s - 1018 = -4006, h + 5*s - 735 = 0. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1425*h**3 + 751*h**3 - 79*h**3 + 728*h**3.\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -12*v**2 - v - 35. Let s(n) = -n**2 + n + 1. Let m = 79 + -80. Let z(u) = m*g(u) - s(u). What is the derivative of z(p) wrt p?\nAnswer: 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 14 = -4*b + 42, d = 2. Let p(a) = 3*a - 18. Let v be p(b). Let n = 30 + 6. What is the highest common factor of n and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15 - 13)*3 - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1247389940721 and 7.\nAnswer: -1247389940714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 4*m**3 - 28*m**2 + 64*m - 48 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = 18 - 38. Suppose -15 + v = 2*q, 0 = 5*n - 5*q - 45. Calculate the greatest common factor of 8 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 81170 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21428?\nAnswer: 2, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-24)\/(-108)*2)\/((-623)\/801)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (-2)\/(2 - (-1544)\/(-768))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 110011001010100011010 (base 2) to base 4\nAnswer: 12121110122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 38.163064 to 1 decimal place.\nAnswer: 38.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 4*s + 2)*(0 - 2 - 2) + s + 0 + 0 in the form z + l*s and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -1573709332 to the nearest ten thousand.\nAnswer: -1573710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 1.16?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 8  (b) 3\/184  (c) -4  (d) -0.0583\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ecirrerjeicceej. What is prob of picking 1 j and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1218?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 23084184.7 rounded to the nearest 100000?\nAnswer: 23100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 150*q**5 + 490*q**4 + 1718*q**3\/3 + 278*q**2 + 48*q + 8\/3.\nAnswer: 2*(q + 1)**3*(15*q + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 18536 divided by -604?\nAnswer: -4634\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 405699543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13\/8 - 47\/24. Let k = 6.8 - 7. Sort k, s, 0.5 in decreasing order.\nAnswer: 0.5, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 111  (b) 2  (c) -43\/222\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16111\/22 or 731?\nAnswer: 16111\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3054, -3069, -3064, -3033, -2970?\nAnswer: -2869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 + 1 + 2*w - 10*w**2 - 2 as b*w**2 + i + u*w and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lmw when three letters picked without replacement from {m: 1, l: 4, w: 3, u: 10, j: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of 3*a**6\/20 - a**5\/60 - a**4\/24 - 83*a**2. What is c(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 312823?\nAnswer: 7, 23, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/90*24\/(-18)*1275\/34.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 PM and 10:07 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**3 - 10*z**2 + 13*z - 6. Let m be r(9). Suppose m = 4*b - b. What is the smallest common multiple of 6 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, -0.06, 4\/59?\nAnswer: 4\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-11*m**3 - 73*m + 73*m)*(-4 + 2 + 17)*(19 + 5 - 7)*(3 - 4 + 3) in the form q*m**2 + j + r*m**3 + p*m and give r.\nAnswer: -5610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -8495, -16994, -25497, -34004, -42515?\nAnswer: -51030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 23466 = -15089. Suppose 2*r = -2*p + 3088, -3*p = -8*p - 2*r + a. Is 67 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 251254592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 5*c**2 + 2*c + 2. Suppose 4*v = 2*f + 3*f + 239, 5*v + 2*f = 274. Let r(h) = v - 4*h + 21*h**2 + 13*h - 47. Let p = -3 + 5. What is p*r(k) - 9*m(k)?\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12437, -62530, -146013, -262880, -413125, -596742, -813725?\nAnswer: -1064068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/2  (b) -370  (c) 11  (d) -0.1  (e) 0.3  (f) 2\/189\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 36238.03s in microseconds?\nAnswer: 36238030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 288\/312*(-38740)\/(-30) is divided by 395?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h**4 + 320*h**3 - 6345*h**2 + 36450*h = 0. Calculate h.\nAnswer: 0, 10, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 4 + 36. Find the third derivative of -5*u**2 - 40*u + n*u - 10*u**4 wrt u.\nAnswer: -240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + s - 2. Let v be z(-3). What is the derivative of 8 - 3 - 5*p**2 + v wrt p?\nAnswer: -10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -62*p**2 + p + 10 + 58*p**2 + 3 to the form h*p**2 + b + m*p and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7, 84, 177, 272, 369?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-8))**6*(u**(2\/21))**(2\/3))**(-2\/43) assuming u is positive.\nAnswer: u**(6040\/2709)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 11057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 154*u**2 + 8136*u - 1285. What is c(-53)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i + 14 = -5*i + 5*f, -4*i - 4*f = -28 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.163*0.2\nAnswer: 0.0326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 2*y. Let j(d) = 6 + 31060*d - 1 + 4 - 3 - 31071*d. What is j(p(z))?\nAnswer: -22*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*o**2 + 35*o**2 - 4*o**2 - 3*o**2 as u*o**2 + m + p*o and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/25 of a kilometer in meters?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-3\/4)\/p*(p*(p*p*p**(-1\/3))\/p)\/p)**33\/((p\/(p*p\/(p\/(p**(2\/5)*p))))**(1\/71))**41 assuming p is positive.\nAnswer: p**(-49617\/1420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 296339148 divided by -36477?\nAnswer: -8124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1790400 rounded to the nearest ten thousand?\nAnswer: -1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 + -13. Suppose l = n + 3 + 1. Are n and -4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 868 is divided by 181.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7555227 is divided by 1143.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -1251 divided by 6?\nAnswer: -417\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1892  (b) 5  (c) -4  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -17399.\nAnswer: 2\/17399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010011000000000011010000 + 11?\nAnswer: 1010011000000000011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 3 = -11. Let f(q) = -5*q + 2. Let b(a) = -14*a + 5. Let n(y) = 6*b(y) - 17*f(y). Let i be n(j). Solve 0 = 5*x + i*h - 4, 2*x + 3*h + 3 = 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + a - 2*a)*(7*a - a - a).\nAnswer: -5*a**2 - 10*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + -22. Let a be ((-2)\/n)\/((-8)\/(-14)). Solve -3\/2*w**2 + 0 - 1\/2*w - a*w**4 - 3\/2*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1bb + 7?\nAnswer: 1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 30971057874165 and -0.03?\nAnswer: 30971057874165.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 400 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -114 + 91 - 8*u + 0*u to the form o*u + y and give y.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 364 = 4*i + p, 272 = 3*i - 2*p. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*t + 159 = 88*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c + 2*x + 172, 309*x = -2*c + 306*x + 202. What is the greatest common divisor of c and 3910?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 12 = m. Suppose 8*c = 6*c + 34. Suppose 3*i + 2 = c. Solve i*x - 5*k = 0, 2*x + 2*k = m*k - 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.34 - -0.16. Let g(r) = -r + 2. Let i be g(2). Let m = 730 + -733. Which is the third smallest value?  (a) s  (b) i  (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3 + 1 - 16*66\/(-88). Solve -7*d + g*d - 2*s = -9, -d - 5*s = 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/((-3)\/45*-3). Let y(d) = 7*d - 6. Let m be y(k). Let w = -9 + m. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -313, -321, -331, -343, -357, -373?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-1 + sqrt(180) + 5)**2 + ((sqrt(180) - sqrt(180)*-2)*-6 - sqrt(180))**2)*1.\nAnswer: -65176 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*r**4 - 6 + 6 + (r**2 + 2*r - 2*r)*(-3987 + 3987 + 125*r**2).\nAnswer: 120*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = 5*o - 20, 14*y + 10 = 3*o + 16*y. What is the first derivative of -25 - 4*t - 2*t**3 - 35 - o*t**4 + 4*t wrt t?\nAnswer: -8*t**3 - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 n and 1 e when four letters picked without replacement from fffnnfefffnfneef?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**3\/(m*m**(-1\/6)))**(1\/23)*m**(-1\/6)*m**(-1)\/m*m**5*m**(1\/6)\/m assuming m is positive.\nAnswer: m**(289\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -89 in 3, -10, -5, 1\/2, 0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -657728*0.5.\nAnswer: -328864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)*-2*6 - sqrt(110)*2*1)\/(sqrt(90)\/(-5*sqrt(9)*-2)).\nAnswer: -140*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -p**2 - 4991*p - 109318 = 0. Calculate p.\nAnswer: -4969, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2456266938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 31130413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 8*w**2 + 4*w - 11. Let f be o(-7). Let u = 2 - f. Let p(g) = -7*g - 4. What are the prime factors of p(u)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 626?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 254*o**3 + 287*o**3 - 75*o**2 - 141*o**3 - 34*o**2 + 109*o**2.\nAnswer: 400*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -496 (base 11) to base 2\nAnswer: -1001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xyyyycwwxx. Give prob of sequence xc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 7*w**2 - 6*w - 6. Let p = 12 - 6. Let v(a) = 8*a**2 - 7*a - 7. Determine p*v(g) - 7*j(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1170266152?\nAnswer: 2, 11, 13298479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + g = -3*g + 2, -6 = -w + 2*g. Let j be 8 + -8 - (w - 1). Which is smaller: 3\/20 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 70441, 70244, 70021, 69760, 69449, 69076?\n\"Answer: -2*d**3 - d**2 - 180*d + 70624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen eighths of a second in milliseconds?\nAnswer: 2125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 1\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 434593409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -1, 103835, 5 in increasing order.\nAnswer: -2, -1, 3, 5, 103835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 + 4*h + 15. Let g be o(-6). Let u = g + 69. Let a = -68\/3 + u. What is the smallest value in a, 1\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -29858 divided by -5961?\nAnswer: 29858\/5961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/68807, -5, 1\/6, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**2 + 198*m - 11. Let x(c) = -4*c + 2. Give -i(v) - 5*x(v).\nAnswer: v**2 - 178*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -5*o + 28, 3*g - 12 - 19 = -2*o. Let x = -4 + g. Determine m, given that -3*m**2 + m**2 + 3*m**5 + 2*m**3 + 2*m**4 - x*m**5 + 0*m**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*z + 5*z = 4*j - 185, 3*z = -5*j + 124. Suppose 0 = a - 44 + z. Suppose -4 = 2*d, 5*d + 0*d = 5*p - 15. What is the least common multiple of a and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 + (-47 - -78) + -58?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i = 3*i. Suppose 5*p + 2*f - 330 = i, -p = -4*p + f + 187. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/8)\/(9393\/43834)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-4\/9))**(-4\/15)*k**2\/(k**(9\/2)*k) assuming k is positive.\nAnswer: k**(-913\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -15*j**3 - 2*j**2 - 8*j**3 + 88*j**4 - 89*j**4 + 0*j - 4*j + 21*j**3 in the form z*j + u + h*j**4 + k*j**2 + w*j**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 18*w + 113 - 113 in the form x + r*w and give r.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1210\/3*o**2 + 0 - 405*o + 5\/3*o**3.\nAnswer: 5*o*(o - 243)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22258465 = 115*m + 40*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -367 - -366.8. Which is smaller: p or -0.122?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1213635?\nAnswer: 3, 5, 80909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 39*a - 41*a + 2. Let u(z) = 47*z**2 + 4*z - 3. Let g(w) = -31*w + 3. What is the remainder when g(-6) is divided by u(a)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 46130.\nAnswer: 2, 5, 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -18, -42, -74, -114, -162, -218?\nAnswer: -282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1081 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -389, -6, 1, 20, 2.\nAnswer: -389, -6, 1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 10) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + ((sqrt(78)\/sqrt(3))\/sqrt(2))**2)*-6.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170*h + 323 - 263 = -160*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2363152 and 724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3310 - 202012?\nAnswer: -132102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -218*z = -224*z + 198 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -671 - -671. Find z, given that -8\/11*z**4 + f - 2\/11*z**3 + 8\/11*z**2 + 2\/11*z = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49487082.\nAnswer: 2, 3, 41, 201167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = 7*v - 1. Let r be j(-2). Let n = -1 - r. 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 remainder when 124 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27*32\/480*4\/(-6).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -3392, -3390, -3388, -3386, -3384?\n\"Answer: 2*k - 3394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = 3*j + 5. Let y(a) = -a**2 + 12*a + 5. Let z be y(j). Suppose 4*k - z = -5*i, k - 4*k + 4*i = 8. Solve 3*s = -k*u + 21, 4*s = 2*u + 2*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -30 + 18a?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-178)\/1068)\/(2\/(-132))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*i + 2*i + 21*i**2 + 8*i)*(-4*i**2 + i**2 + 2*i**2).\nAnswer: -21*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 209834316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.465 + 0.535. What is the nearest to q in 3, -7, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1420, -660, -4124, -8972, -15204, -22820?\n\"Answer: -692*n**2 - 4*n + 2116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*r + 1568*r = -38103 + 7190 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 + 3*n**2 + 4*n. Let i be a(5). Let d = -23 - i. Is 8 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*l + 79*l - 5*k = -12, 2*l = -3*k + 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express (24*k + 6*k + 18*k)*(-k - k + 0*k) + (3 - k - 3)*(0*k + k + k) in the form y*k + p + g*k**2 and give g.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 5189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1\/3386 - -6775\/10158. Which is the fourth biggest value?  (a) 3  (b) -9  (c) 0  (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 76.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + -2 + -2*sqrt(3) - ((sqrt(576) - sqrt(36))*3 - sqrt(36))\/sqrt(12) - ((-2*sqrt(75)*3 - sqrt(75)) + sqrt(27)\/(sqrt(90)\/(sqrt(40) + sqrt(10)))))**2.\nAnswer: -176*sqrt(3) + 1468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20\/(-30) - 51\/(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7047 is divided by 1591.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 61.10249mg in micrograms?\nAnswer: 61102.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (44\/33)\/((-144)\/(-2268))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**3 - 55*n**2 + 20*n + 214. Calculate the remainder when 1495 is divided by v(27).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pksa when four letters picked without replacement from spypakysc?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y - 8. Suppose -33*x - 143 = -46*x. Give p(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 8 = -3*r + 3*i, -3*i = -r + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + 15 - 18) + 39 + -7?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -5*y**3 + 16880*y**2 - 418875*y = 0.\nAnswer: 0, 25, 3351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 470 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 + 3 - 3*1. Let n be s*((-15)\/6 - -1). Suppose 5*l - 1 = v + 4, 0 = -3*v + 5*l - 15. 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: Solve -45*v + 700 = 25*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 5*z + 31, 0 = 2*o - 2*z + 8. Let d = o + 0. Let i(x) = -x**2 - 11*x - 2. Let y be i(d). Calculate the greatest common factor of y and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n + 4 + 1. Solve -4*q - t = 17, -n*q + 4*t - 19 = 3*t for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 7, w: 1, a: 2}. Give prob of sequence za.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -157 - -308. What is the remainder when k is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*x**2 + 6 + 5*x - 5*x - 4 to h + g*x**2 + c*x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/459*17)\/((-7)\/3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 32*n - 5 = -25*n, l - n + 5 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j = 5*m - 65, j = -0*j + 5*m - 17. Solve -r + 16 = 5*x + 3*r, -2*r = x - j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -56 + -196a?\nAnswer: -1a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -146 - -147. Let z = 0 - 1. What is the third biggest value in j, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4*n = -2, -3*l + 3*n = 9 - 0. Let f = -106 - -106. Sort l, f, 1, 5 in decreasing order.\nAnswer: 5, 1, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 + -5. Let h(v) = v**3 - 13*v**2 - 13*v - 1. What is the remainder when 49 is divided by h(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -544\/3 + 181. Sort 18, 2\/3, 0.5, h in decreasing order.\nAnswer: 18, 2\/3, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 821 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**2 - 3*s**2 - s**2)*(-1 + 0 + 0) + (-5730*s + 2632*s + 1973*s)*(4*s - 5*s + 0*s).\nAnswer: 1127*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 11:44 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/4288 and 31\/576.\nAnswer: 38592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/(-21) - ((-2228)\/(-669) - 3). Is z at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2816 + -2818. Which is the nearest to 8\/9?  (a) j  (b) 5  (c) 1\/3  (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5)\/3)\/(14 - 2717\/198).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 252920, 505838, 758756, 1011674, 1264592, 1517510?\n\"Answer: 252918*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (360\/(-300))\/(6\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-60)\/(-14))\/(4*5\/65). Is 15 at most k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8416 (base 9) to base 2\nAnswer: -1100000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 57849 and 26295.\nAnswer: 289245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 - 7*g - 1. Let n be q(8). Let d(f) be the third derivative of f**6\/120 - f**5\/12 - f**4\/3 - 2*f**3\/3 - f**2. Does 13 divide d(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x - 27*t = -30*t + 7, 0 = 2*x - 2*t + 2 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.4 and -222.5571.\nAnswer: 89.02284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 0.072, -0.3, 0 in decreasing order.\nAnswer: 0.072, 0, -0.3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2075549\/18364118 + 2\/46141. Find the common denominator of s and 89\/4.\nAnswer: 796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -22617, -22619, -22621, -22623, -22625?\nAnswer: -22627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 568 = -2*w, 10*w - 16 = 6*w. Let p = -6710 + 6764. What is the greatest common divisor of p and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.04294 - -0.01294. Let p = -0.02 - -0.04. Which is the second smallest value?  (a) -0.5  (b) v  (c) p  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(50) + -1*sqrt(2450))\/(sqrt(1440)*-1)*-1)**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -558 - -551. Let u = j + 5. Which is the third biggest value?  (a) 5  (b) 0.01  (c) -1\/2  (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/23 + (-10)\/115. Suppose -4*s - 124 = -3*k, r = 4*k - 21*s + 25*s - 212. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6\/25 of a centimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of -i**4\/24 - 5*i**3\/3 + 208*i**2. What is k(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -35 + 31. Let o = -5 + 7. Calculate the smallest common multiple of o and (q - -1)\/(6\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-2698)\/(-5))\/(138\/1380)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-77)\/14)\/(-11))\/((-2)\/(-20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -59 divided by 1468?\nAnswer: -59\/1468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -c**3 + 3*c**3 + 3*c**3 + 1 + (2*c + 0*c + 3*c)*(3*c**2 - 3*c**2 + 4*c**2) in the form j*c**3 + h*c**2 + q + a*c and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = 2*d + 42 - 168, -2*d + 122 = -3*k. Suppose -7*x + 200 = -3*x. Let p = d - x. Calculate the greatest common factor of p and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -81 + 94. Suppose t*x = 8*x + 182875. Suppose -8*i = -x - 17025. Round i to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-47*g + 47*g - 13*g**2)*(3*g - 2*g**3 - 5*g + g) - 2*g**5 + 0*g**5 - 2*g**5.\nAnswer: 22*g**5 + 13*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-1524285)\/(-360) - (1 - 0)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 938699068?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}