{"text":"Question: Suppose 35 + 97 = 4*y. Suppose 21 = -4*j + y. Solve -3*q + 21 = -j*c, -4*c + 7*c = 5*q - 31 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 2*v. Let n(y) = 4*y. Let g(b) = 2*n(b) - 5*o(b). Is g(-2) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 767 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 630 and 574210?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -12323221 (base 4) to base 16\nAnswer: -6ee9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13166 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 921714031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n = 3*n - 56. Let p = -2945 + 2950. Suppose p*r = 187 + n. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1983 - -38a0d?\nAnswer: 3707a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 2*b**5 + 2*b**4 - 10*b**3 - 2*b**2 + 16*b - 8 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 4*y**2 - 2*y + 8. Let z(b) = -b**2 + b - 3. Determine 3*t(a) + 8*z(a).\nAnswer: 4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 19415783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w + 2. Let r be q(-4). Suppose -2*m = m + 15. Let k = m - -1. Sort r, -5, k.\nAnswer: -5, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 205 a factor of 300735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 3*m. Let v(n) = 3*n. Let h be v(1). Let y be ((-4)\/h)\/(2\/(-3)). Solve 2 = -y*r - m*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -11 + 13. Let s(u) be the second derivative of 0 + 0*u**4 - 1\/2*u**j + 0*u**3 - 1\/10*u**5 + 2*u. What is the first derivative of s(p) wrt p?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -5*a + 5207, -2*r - 3442 = -a + 5*a. Let t = -845 - r. Does 16 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5544 divided by 462?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-1))\/((-60)\/150)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6535*y - 6544*y + 99 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 39, 17, -17, -63?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56391686.\nAnswer: 2, 13, 17, 127583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 5:14 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -29 - 63?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 59840?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -46 - -45.79. Is a bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*f**5 + 110*f**4 - 215*f**3 + 60*f**2 = 0 for f.\nAnswer: 0, 1\/3, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l - 1955 = 3*l. Calculate the highest common divisor of 23 and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r. Let t(l) be the first derivative of -5\/2*l**2 + 7\/3*l**3 - 11 + 0*l. Let i(b) = -4*b**2 + 3*b. Let n(p) = 5*i(p) + 3*t(p). Give v(n(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - 0 - (-39)\/(-26))*4. Let v be 609\/12 + (-4)\/(-16). Let j = v + n. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -65.59 + 66. Let m = 0.11 - u. Sort 6, 1\/4, m in decreasing order.\nAnswer: 6, 1\/4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3598 - -1.3?\nAnswer: -3596.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 36 and 20799063.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14663796 and 24?\nAnswer: 29327592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 18427, -2, 5, -5, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 + 4 + 3)*(-1 - 1 + 3) - 1 - 1 + 0 - 3 + 5 - 3 + 2 - 1 - 3 - 1 + 2 + 0)*(-83 + 13*i + 83)*(-2*i**2 + 2*i**2 + 3*i**2).\nAnswer: -78*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -4*q**3 + 2*q + 1. Let f be m(-1). Let t be (-1)\/f - (-3)\/9. Solve 5*s = -4*r + 32, t = r - 5*s + 11 + 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 - -40. Let b = -17 + q. What is the first derivative of 2 - 5*o**4 + 2*o**4 + 9 + b wrt o?\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -6, -1, -5 in increasing order.\nAnswer: -6, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1*-24029186\nAnswer: 24029186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/290 and -53\/2?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3a39 (base 15) in base 8?\nAnswer: 30215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 17 + -16.88. Sort 1\/3, x, 0.2 in descending order.\nAnswer: 1\/3, 0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 33203 + -35155?\nAnswer: -1752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -307 - -305. Let m be ((-6)\/(-3))\/(-4)*q*8. Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 707157?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -13315.101834?\nAnswer: -13317.101834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -529923.574189 + 529924. Let g = -0.426 + j. Round g to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139*o + 4 = -137*o. Suppose d = o*c - 11, 0 = -5*c - d + 8 + 9. Calculate the remainder when 21 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 34733917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -5  (b) 4  (c) 816  (d) -1.5  (e) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nfwnnwnwwnnwwww. What is prob of sequence nf?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = -2*o - 8, 0 = -q - 2*o - 10 + 6 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4141.08 rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 1)*(f + 66 - 33 - 145).\nAnswer: f - 112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 32328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 60, 105, 164, 237?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-8) - 5\/(80\/(-28)). Suppose -140 = -y*d + 5*o, 0 = -6*d + 2*d - o + 280. List the prime factors of d.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6951852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 + 5*q**2 - 2*q + 4. Suppose 12 = -4*l + l. What is the remainder when f(l) is divided by (-2 + -2)\/((-2)\/5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.85 + 0.05. Let v = u + -0.2. Let q = 8\/5 + -46\/35. Which is the nearest to 0?  (a) q  (b) 2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**3 + 4*i**2 + 3. Let w be o(3). What is the highest common factor of 72 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 328 - 326. Suppose 7*p + z*q = 5*p + 120, 3*q - 52 = -p. Is 3 < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -12, 1641, 2 in descending order.\nAnswer: 1641, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 9 = h + 2*h, 2*h - 16 = -4*n. Suppose -q + 3 = -h*q. Is -3 less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 6 + 2 = 0. Let o be (c*3)\/(15\/20). What are the prime factors of ((-15)\/54 - o\/36)*-144?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 117*((-4)\/16)\/((4740\/80)\/(-79))\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -20.028 + 0.028. Let k = y - -20.1. Which is the nearest to 2\/5?  (a) 0.5  (b) 1\/3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 775*x**2 - 2184*x**2 - 1180*x**2 - 4035*x**2 to the form l*x + n*x**2 + u and give n.\nAnswer: -6624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6622*o - 6613*o - 2 = -11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4 + 3. Let i = -0.7 - p. Let r = 4 + -3.9. What is the nearest to r in i, 3, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d + 6*d = -45 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) = -4648*g - 79679. Determine b(-17).\nAnswer: -663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -2*b - 18. Give c(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -r**2 + 25*r - 7. Let o = 38 - 26. Let b be m(o). Suppose -b = -2*a + 13. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -17*o + 13*o + 5, 2*o = -2. Let c = -0.7 - -1.1. Sort -1.8, 1\/7, l, c in ascending order.\nAnswer: -1.8, 1\/7, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i and 2 y when four letters picked without replacement from {y: 4, i: 10}.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a + 25 = 3*a - 4*j, -4*j + 10 = -2*a. Let f = -3 + 16\/5. Put 19, f, a in ascending order.\nAnswer: a, f, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8247249 is divided by 1823?\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**2 + 15*i - 26. Give z(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/33 and 10\/(-12)*(-5)\/((-45)\/24).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, v: 8}. What is prob of sequence hhh?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 224538 and 6.\nAnswer: 224538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 23. Let o(b) = 17. Let y(h) = 4*o(h) - 3*p(h). Let l(w) = w**2 + 5*w - 5*w + 0*w - 2. What is 3*l(g) - 7*y(g)?\nAnswer: 3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 250 is divided by 6098\/54 + 6\/81?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-6168)\/(-5140))\/(-6*(-10)\/4).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from {m: 5, o: 2, e: 1, s: 1, r: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*y - 5*o - 11, -y + 4*y = 5*o - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2308171 to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2079)\/(-315) + 4\/10 - 114\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, 114, 1 in increasing order.\nAnswer: -0.2, 1, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -1\/2881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 1 = 3, -4*i = 3*q + 47. Let z = 33 + q. What are the prime factors of 19 + (z\/4 - 3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**2 + 16*s - 10. Calculate t(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x + 18. Let r be k(14). Let v be -1*(20\/r - 7). Solve 3 = -3*l + v*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 14\/4*8\/14. Let w be 7\/((-63)\/879) + (-1)\/3. Let f = 100 + w. Solve -5*y = 5*c + 5, t*y + f*y = -5*c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -3*c**3 - 15*c**2 - 6. Let v(h) = -h**3 - h - 2*h**2 - 1 + 0*h + h**2. Let d(j) = -p(j) + 6*v(j). Factor d(y).\nAnswer: -3*y*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, 59\/16, 2\/5, -5, 7 in increasing order.\nAnswer: -5, 2\/5, 59\/16, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f**3 - 4*f**3 + 4*f**3)*(10*f + 180 - 180) - 13*f**4 + 68*f**4 + 50*f**4.\nAnswer: 85*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i**4 + 4*i**4 + 4*i**4)*(3 + i - 3) + 0*i**2 - 58 + 2*i**2 - i**5 + 72.\nAnswer: 3*i**5 + 2*i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 4*p - 98 = 0, 0 = -2*g + p + 2*p + 133. Let s = 115 - g. Calculate the highest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22089\/1194*(0\/1 + (1 - -1)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -339 = -3*d + 5*r, 2*r - 78 - 35 = -d. Is 37 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38 + 71 - 39 - (3 + 0) - -11.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 22*w + 225 - 1154*w**2 + 119*w + 89*w + 1159*w**2 = 0.\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1 by -2221.\nAnswer: 1\/2221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.04 + -0.44. Let o = -0.15 + -0.85. Let v = 0.9 + o. Which is the nearest to v?  (a) -0.2  (b) t  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*u = -52*u - 6 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12836 - 12754. Let f(z) = -77*z**3 - 5*z**2 - 5*z - 5. Let n(r) = -1271*r**3 - 82*r**2 - 82*r - 82. Give y*f(q) - 5*n(q).\nAnswer: 41*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 35624 + 181004. Let s = c + -2807383\/13. Let u = -675 + s. Is u at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 93*x - 1110264 = 1218921. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -124 - 302. What is the remainder when m is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6462 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2. Let a(j) = -3*j + 81. Let p be a(26). Let x(i) be the first derivative of 0*i**2 - 2\/3*i**p + 0*i - 2. Calculate x(l(f)).\nAnswer: -2*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -67363.\nAnswer: 4\/67363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6 + (-1)\/(-1)*((-2 - 5) + 3). Let q = 1.6 + -1.1. What is the second biggest value in n, -10\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + 11*r - 11. Let v(y) = y. Let z(m) = -q(m) + 5*v(m). Let g be z(7). Calculate the highest common factor of 36 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2783, -5688, -8601, -11522?\n\"Answer: -4*m**2 - 2893*m + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -282925690 divided by 2?\nAnswer: -141462845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33 - 10) + 49 - (0 + 27)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 116 - 74. Let o = u - 38. Suppose -4*w + 4*j + 110 = -j, 5*j = -o*w + 130. Which is bigger: w or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22814505 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (200\/(-300))\/((-1)\/7*(-98)\/12)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3534?\nAnswer: 2, 3, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 434385?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -635*i - 494*i - 21382 = -410*i + 188 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 384*v + 314*v - 129*v + 43*v to the form z + i*v and give i.\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**3 - 81*h**2 + 81*h - 93. Calculate v(-82).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1041*s + 3*s**2 + 60*s**3 - 488*s - 23 - 551*s to j + q*s**2 + k*s + b*s**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v\/v**21*v)\/v)**(-1\/81)*v**(-2\/5)\/v**35 assuming v is positive.\nAnswer: v**(-14242\/405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**2 + u - 4. Let v be z(0). Let q be v*2*2\/(-4). Let o(b) = 4*b**3 + b**2 - b + 1. Let s be o(1). Solve 0 = -j + 3*n - q*n + s, j - n = 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8486477 is divided by 268.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 201, 151, 69, -45, -191, -369?\n\"Answer: -16*g**2 - 2*g + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 49886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 150 = 4*j + 3*o, 5*o + 166 = -0*j + 4*j. Let z = j - 10. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -8. Suppose 0 = -4*v + 4*w + 1 - 9, -19 = b*v + 4*w. Let r(m) be the second derivative of -m**4\/12 - m**3\/6 + 2*m**2 - 1082*m - 1. Give r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12*111\/(-74))\/33\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 28*g**3 + 75*g**3 + 113 + 68 + 89 wrt g?\nAnswer: 309*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 63988?  (a) -3  (b) -28  (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 22, 32, 40, 46, 50, 52, 52?\n\"Answer: -i**2 + 13*i + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 51077 (base 8) to base 3\nAnswer: 1001212211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 267*g + 5*g - 273*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -85*c**3 + 6175*c**2 + 105720*c + 36540 = 0.\nAnswer: -14, -6\/17, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -344 by -86.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 132988 is divided by 21466?\nAnswer: 4192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 6240.607 hours?\nAnswer: 22466185200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the first derivative of 2*s**3\/3 + 9*s**2\/2 + 10*s - 77. Let a be t(-4). What is the highest common divisor of a and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1058.9 + 1059. What is the fourth biggest value in -1, 3\/7, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -136*b + 692*b - 2602 - 3031 - 6043 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.70232 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w*w**(-8)*w)\/(w**(2\/53)*w))\/(w**(-3\/10)\/((w*w**(-9)*w*w)\/w)))**(-6\/11))**(-39) assuming w is positive.\nAnswer: w**(-851877\/2915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(19) - sqrt(1900))*-3)**2.\nAnswer: -55404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b - 260 = -b. Which is smaller: b or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -805 + 797. Suppose -3*t = 2*t - 10. Let d be -2 + t + (-4)\/(-36). Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1471 - -5819\/4. What is the common denominator of 5\/10 + 4\/(-16) and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (-2 - (3 - 1) - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -2*q**2 + 74187 - 74187. Let v(p) = -1428*p. Calculate h(v(c)).\nAnswer: -4078368*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -1\/60*i**5 + 6*i**2 + 0*i**4 + 0*i**3 + 5\/336*i**8 + 0 + 0*i**7 + 0*i**6 + 0*i. Find the third derivative of x(a) wrt a.\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -74, -1, -3\/5, 2\/23?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 12 = 0, 3 = 33*o - 36*o - 3*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -19 + 2 - (-676 + 644)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -955 + 25090. What are the prime factors of h?\nAnswer: 3, 5, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 9) in base 2?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 12 + 1202120201?\nAnswer: 1202120220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes before 3:24 AM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 16*x**3 - 18*x**2 - 8*x + 5. Let t be q(-9). Let m = 234907\/18 + t. Calculate the common denominator of 87\/14 and m.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*c + 17 = 4*u, -u + 42*c + 12 = 49 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 123\/346250 and 101\/307500.\nAnswer: 85177500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {t: 17, a: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 566847, 1133677, 1700507, 2267337, 2834167?\n\"Answer: 566830*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (5\/(-105))\/(1\/(-6)). Let s(j) = j**3 + 5*j**2 - 3. Let l be s(-7). Let u = -910\/9 - l. Sort u, -1\/2, c in ascending order.\nAnswer: -1\/2, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -4 + -2 + 2 + -2. Let x be (-24)\/(-14) + s\/(-21). Suppose -2*p + z - 10 = -z, 2*p - x = -4*z. Which is the closest to 1\/2?  (a) p  (b) 0.3  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -284 divided by -71.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*p - 1 + 1)*(2*p - 2*p - p + (-3*p - 2*p + 7*p)*(-1 + 0 + 0)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that k**2 - 163596308*k + 6690937997807716 = 0.\nAnswer: 81798154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 2. Let k(u) = 4*u**3 - 5*u**2 - 7*u. Let t(b) = -3*b**3 + 4*b**2 + 6*b. Let n(x) = x - 7. Let i be n(3). Determine i*k(y) + p*t(y).\nAnswer: -y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2330, -7526, -16186, -28316, -43922, -63010, -85586?\nAnswer: -111656","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 tztztpztttppzzttpp.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2127, -2123, -2119, -2115, -2111, -2107?\n\"Answer: 4*u - 2131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.2, -0.5, -6, 0.05977 in increasing order.\nAnswer: -6, -0.5, 0.05977, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1016898*g + 2034382*g - 1016848*g.\nAnswer: 636*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 16 - 13*b + 809 - 2*b - b - 142 in the form u + c*b and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*i = -3*i, 5*i = -5*w + 20. Suppose -5*h + 5*j = -8430 + 1295, w*j + 5703 = 4*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5c55 - 12?\nAnswer: 5c43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1934828.\nAnswer: 2, 7, 43, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/27)\/(76\/(-114))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.1 + -0.13. Let f = 1.87 - k. Let v = f + -2. Is -1 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 6*f + 31. Let h be j(43). Let d = h - 284. Let q be 1\/4 + 6\/8. Solve 4*i + d - q = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**2 - 7*u + 14. Let h be f(-7). Suppose -4*o = -18 + h. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1149 + 100. What are the prime factors of q?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -71 + 125. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*q + 2*i - 0*i + 1, 5*q = i + 20 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the second derivative of -q**4\/6 + 4*q**2 + 5*q. Factor g(l).\nAnswer: -2*(l - 2)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/28 and -21\/75435422.\nAnswer: 1056095908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.95996 + -0.00296. Let g = -0.043 - m. Which is the nearest to 2?  (a) -5  (b) g  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*x**3 - 63516*x**2 - 614775*x - 381618.\nAnswer: 3*(x - 7067)*(x + 9)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -6*13*10\/(-30). What is the greatest common divisor of z and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + 176701?\nAnswer: 176705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 4649, 13268, 25843, 42374, 62861, 87304, 115703?\n\"Answer: 1978*p**2 + 2685*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -42695\/8 - -5346. Calculate the common denominator of 33\/52 and m.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*c + 11 = 22 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-4)\/(16\/12) - (-1 - 26) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1960765 * 0.3\nAnswer: 0.05882295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + b - 3)*(-2 - 2*b + 2) + (18331 + 11408 + 93 - 3177)*(2*b**2 + 0*b**2 - 4*b**2).\nAnswer: -53312*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 2749 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 152239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7802596301 to the nearest integer?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -42 + -142?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j**2 + 2*j. Let z(g) = g. Let l(x) = 5*b(x) - 10*z(x). Let d(o) = o**2. Let q(a) = 40*a**2. Let k(s) = -48*d(s) + q(s). Determine k(l(c)).\nAnswer: -200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 3.6. What is the third biggest value in 0.4, 0.6, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -4*l + 15. Let c = 1695 - 1695. Put l, -4, c, 3 in ascending order.\nAnswer: -4, c, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120858099.\nAnswer: 3, 40286033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 46979873 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12745*n**3 - 99538*n**2 + 99538*n**2 + (-5*n + 3*n + n)*(2*n**2 + 0*n + 0*n))*((2*n**2 + 0 + 0)*(0 + 0 + 1) + n**2 + 3*n**2 - 2*n**2).\nAnswer: 50972*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/224?  (a) -10  (b) 4  (c) 0  (d) 1.9  (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 7984433.166337 - 11.166337. Let t = -7984448.0000088 + k. Let q = t - -26. What is q rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-3)\/(3\/(-283)) - 2?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 95 - 115. Sort -0.5, a, 1\/2 in ascending order.\nAnswer: a, -0.5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 (base 14) in base 9?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1434300434 - 12?\nAnswer: 1434300422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2028 + -2028.0014523. What is w rounded to 5 decimal places?\nAnswer: -0.00145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2284 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-3 - 0) + 4)*1 + 752.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 276467494 - 1435804\nAnswer: 275031690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of -2*r**3 + 0*r**5 + 1\/10*r**6 + 0*r**2 + 0*r**4 + 12*r + 0. What is the second derivative of v(l) wrt l?\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wlts when four letters picked without replacement from {a: 6, s: 6, t: 3, l: 1, o: 1, w: 3}.\nAnswer: 3\/6460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -4, 1\/10, 998, 8, -2, -3.1?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 499 divide 3342801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 22, 195, 630, 1471, 2862, 4947, 7870, 11775?\nAnswer: 16806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 131  (b) -17\/4  (c) -3  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:28 AM and 2:20 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24ca94 (base 15) to base 4.\nAnswer: -12232230223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 513476.1 milligrams to kilograms.\nAnswer: 0.5134761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -6*b + 87. Let x be z(12). Suppose 2 = 5*h - p, -h + 5*p + x = 5. Is -5\/136 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -3*f + 17. Let r(i) = 3*i - 18. Let d(s) = 4*r(s) + 3*y(s). Let q be d(7). Suppose 2*a - 8 = 3*b + 17, -2*b + 3*a - 20 = q. Which is bigger: b or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3293596250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9437 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.5016 - 1.9641. Round t to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:06 PM and 5:49 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -a - -2a400eb?\nAnswer: 2a400e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 4*t + 72, -14*t + 52 = o - 15*t. Let z(f) = 6*f - 3. Let r be z(4). What is the greatest common factor of o and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3030 take away 10860726?\nAnswer: -10863756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*d + 9*d + 2*d)*((-1 - 2 + 1)*(-1 - 1 + 1) - 3 + 2 + 3 - 1 + 0 + 3 - 2 + 0 + 4 - 2 + 0 + 6)*(0 - 1 + 2) to the form w*d + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 2*p = -18. Calculate the lowest common multiple of 32 and p.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjmjjyyymjymjmjjjymc. Give prob of sequence jjc.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2 + 0 + 46 + j - 2*j. Let z be c(0). Let u = z + -27. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -13*b**3 + 5*b - 5. Let z(w) be the third derivative of -19*w**6\/60 + 7*w**4\/12 - 7*w**3\/3 + 15*w**2 + 12*w. Calculate -14*u(o) + 5*z(o).\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 4*n - 6, -3*n + 0*n + 7 = 4*p. Suppose 0 = -3*a + 17 + 7. Calculate the highest common divisor of n and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o**2 + 1520*o - 12216. Calculate r(8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14341420 + -1?\nAnswer: -14341421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3476992 + -1564992. Round f to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3034 divided by -41\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 2*w - 8 = 0, 3*b + w + 6 = 5*w. Suppose -20 = -b*k + 18. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2436*i**3 + 50*i - 4?\nAnswer: 14616*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18032\/(-1764))\/((-8)\/(-6)).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 139, 235, 331, 427, 523?\nAnswer: 619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5020052 is divided by 83666.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-15)\/((-5)\/1) + -1*7. Let v(f) = 11*f - 6. Let d(y) = 6*y - 6*y - 7 + 11*y. Let m(x) = b*v(x) + 3*d(x). What is the first derivative of m(q) wrt q?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-j + j - j**2)*(2*j**2 + 3*j**2 - 7*j**2) + (0 + 0 - j**3)*(-j - 2*j + 0*j) + 4*j**4 - j**4 + j**4.\nAnswer: 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the third derivative of -f**5\/60 + f**4\/6 + 5*f**3\/6 - 11*f**2. Let g = 1 + 3. List the prime factors of u(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h. Let z(c) = c**2 + 6*c - 3. Let f be z(-6). Let m(u) = -4*u - 2. Give f*x(w) - m(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 4 = -3*i - 7, i - 4*f = 1. Let p = i + 14. Suppose -2*h = 2*h - 140. Solve -5*x + 5*l = -h, -1 = p*x - 2*x + 4*l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 764827\nAnswer: 382413.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(1\/2)*d**(1\/3)\/d)\/(d**(1\/2))**(-2\/9))\/((((d*d**(-1\/4)*d)\/d)\/d)**41)**(2\/13) assuming d is positive.\nAnswer: d**(178\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6070*m - 3260*m - 3744*m)*(-4*m + 8*m + m).\nAnswer: -4670*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25 and 195.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -y**4 - 14*y**3 + 39*y**2 + 616*y - 1936 = 0.\nAnswer: -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -2*o - 1\/3*o**3 + 7 + 1\/2*o**2. Suppose -s + 0*s + 2 = 0. Determine n(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the third derivative of -2*n**2 - 1\/840*n**7 + 0 - 1\/240*n**6 + 0*n + 0*n**4 - 1\/240*n**5 + 0*n**3. Factor a(j).\nAnswer: -j**2*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange m**2 + 2*m**3 - 5*m**3 + 0*m**2 - 4 + m**2 to p*m**3 + s*m**2 + h*m + q and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 859 + -323. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 34745750 is divided by 323.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/8 and (-11)\/(-440)*(-356)\/2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2 - 1 - 3)*(10 + 9 + 10) + 5 - 3 - 1 + 1 + 0 + 1)*(-q**2 + 2 - 2) to k + t*q**2 + v*q and give t.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 2 k when three letters picked without replacement from {k: 4, m: 3, j: 1}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -692005564 divided by 2?\nAnswer: -346002782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*k*q**3*w - 27*k*q**3 + 17*k*w**4 - 5088*k*w - 2*k + 86*q**3 + 3*q**2 wrt w.\nAnswer: -2*k*q**3 + 68*k*w**3 - 5088*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -341 divided by 31.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 61 and 6220109?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31328.\nAnswer: 2, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-5))\/((-4)\/(-34) - (-7752)\/52020)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 182.2 + -180. Sort n, -1, 4, 5\/3 in decreasing order.\nAnswer: 4, n, 5\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 16\/3 + -5. Let t = -1146 + 899. Let v = -245 - t. Which is the nearest to r?  (a) -2\/13  (b) -0.5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*a**2 + 10003815*a + 170066300 = 0.\nAnswer: -17, 2000780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3b4 (base 12) to base 10\nAnswer: -568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -69108940*f**3 + 62133155*f**2?\nAnswer: -414653640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7\/5 - 61\/40. Which is the closest to 3?  (a) 0.5  (b) u  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1315764 divided by -279.\nAnswer: 4716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4483?\nAnswer: 4483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 + -2. Let l be 2\/(-1) - (v - 3). Solve -r + 1 = -l*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4 - -10. Let a = m + -5.6. Let f = -35 - -35. Sort f, a, 0.3.\nAnswer: f, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:41 AM and 11:26 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 20\/8*11\/(55\/6). Suppose 216 + 69 = u*g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10 + 1 - 0 - (28 - (77 - 63))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -30.9 + 36. Let d = 1.1 - k. Suppose -b + 2 = -4*z, z + 2*b + 2*b - 8 = 0. Sort z, d, -5 in descending order.\nAnswer: z, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39829064 divided by 4?\nAnswer: -9957266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 321943 to the power of 1\/2, to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 + 7*z**2 - 9*z - 4. Let n be u(-8). Suppose -c - 1 = t - 3, -3*t = c - 4. Let r(p) = -11*p + 19. Let j be r(t). Solve 4*a = n + j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -363 - -622. Let s = r + -182. What are the prime factors of s?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 419480416 + 419480496 + 419480500 - 1258441412 + k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*r + 5*r + 12. Let s(c) = c**3 + 2*c**2 + 3768. Let x be s(0). Suppose r*z - x = -0*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -1646\/12835?\nAnswer: -1646\/12835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -751 divided by -49.\nAnswer: 751\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find z, given that 4\/7*z**2 + 144\/7 + 48\/7*z = 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 13448*d**3 - 3794960*d**2 + 269617194*d - 265835682.\nAnswer: 2*(d - 1)*(82*d - 11529)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15967 - 11204. Suppose -25 = -7*v + 2*v. Suppose -4*x - 2849 = -3*p + x, v*p - x = s. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -137 + 274 - 137 + m**2 - 2*m**2 + 12*m.\nAnswer: -m**2 + 12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 - 3)*(x + 3*x - 2*x)*(2 - 4 + 1)*(-3 + 2 + 0).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -36154 or -36157?\nAnswer: -36154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/4  (b) 5  (c) 9  (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 + 95. Suppose -p + 103 = q. Solve 17*f - p*f + 4 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - ((-60)\/(-8) - 3). Let n = a - -31\/10. What is the closest to -3 in n, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*3\/(-60)*(-30)\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - 5 - -4) + 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -699 + 1833\/2. Is 219 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 3 r when four letters picked without replacement from rroporrrprrrrpr?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19*a - 11*a + 16*a)*(-5*a**2 - 63 + 63).\nAnswer: -120*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2\/5, -111, -0.4, -0.07?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 70\/24*(-10)\/105*3.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - -110100010?\nAnswer: 110100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o**3\/5 + 14*o**2 + 245*o = 0. Calculate o.\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 42*(-6)\/(-27)*(-2510)\/(-3514)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.3  (b) -2  (c) 4\/5  (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v + 1. Let z(y) = -293*y. Let u(c) = 2*i(c) - z(c). Let w = 5 - 2. Is u(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the second derivative of -1\/12*v**4 + 3*v - 1\/40*v**5 + 2\/3*v**3 + 0*v**2 - 1\/360*v**6 + 0. Let b(j) be the second derivative of z(j). Factor b(l).\nAnswer: -(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, j: 7, m: 4, t: 1}. What is prob of sequence mjl?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 5735 (base 10) in base 9?\nAnswer: 7772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = x**2 + 3*x + 14. Calculate g(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 757 divide 28348893?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 12, 269, 3 in descending order.\nAnswer: 269, 12, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 4\/7, 2\/63, 42, 0.1, 3?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 4.060792 milligrams?\nAnswer: 0.000004060792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (4484\/6726)\/(0 - 1\/33)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2166261?\nAnswer: 3, 227, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -162 + 63. Calculate the remainder when t is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -106082 divided by 62\nAnswer: -1711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5920625 and 600.\nAnswer: 142095000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(4 + (sqrt(117) - (1 + sqrt(117) + 1 - sqrt(117) - sqrt(117))) + 2*sqrt(117) + -1)*6)**2.\nAnswer: 864*sqrt(13) + 67428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 18*a - 3510. Let i = 270 - a. Determine l so that i + 6\/7*l - 12\/7*l**2 - 6\/7*l**5 + 0*l**3 + 12\/7*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(15) + sqrt(960)*6)\/sqrt(3).\nAnswer: -245*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -8350360 rounded to the nearest 100000?\nAnswer: -8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -3*y + 2. Let m(d) = 2 + 0*d - 3 + d. Let u = 17 + -9. Suppose -l - u = 3*l. Give l*f(x) - 4*m(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(2\/3)*h)**(1\/40)\/(h**(-1\/6)\/((h\/(h**0*h)*h)\/h)))**(-24) assuming h is positive.\nAnswer: h**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 9 + 4*r + 0*r**2 + 3*r**2 + 4*r**2 - 6*r**2. Let t be q(-6). Suppose -5*n + 16 = -f, 3*n = 4*f - 0*n - t. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1943 + -1845. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 188184739?\nAnswer: 188184739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 101149.\nAnswer: 101149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = u**3 + 8*u**2 + 9*u - 3. Let y be t(-6). Suppose 0 = 9*j - y - 21. Solve 2*q - 12 = -d + j*d, q = -d + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of 37*v**5\/12 + 45*v**4\/4 - 100*v**3\/3 + 2*v**2 - 475*v. Solve d(a) = 0 for a.\nAnswer: -2, 20\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3854 is divided by 61?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2886, 5702, 8518, 11334, 14150?\nAnswer: 16966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -3*h**3 - 18*h**2 + 4*h + 26. Calculate b(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.1 or 157\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 657*g**3 + 12*g**2 + 4*g + 8. Let j(v) = 658*v**3 + 9*v**2 + 3*v + 6. Determine -4*j(b) + 3*p(b).\nAnswer: -661*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 66 - 87 = 0. Let l be (-28 + -1)\/(1\/(-4)). Let m = k + l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -505*h - 7*h**2 + 162*h + 164*h + 14*h**2 + 179*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 - 24*j + 108. Let m be h(6). Is 3\/542 equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 243, 7, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0\/4)\/(-5) + 3*(-10)\/(-6). Solve -5*p - g*d = -3*p - 8, -d = 2*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**2 - 17*u + 40. Give x(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 272665899559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 11 = 44*q - 43*q, 0 = -x + 3. Sort q, 3, -4\/3, -1\/10, 0.4.\nAnswer: q, -4\/3, -1\/10, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8475837 is divided by 2430?\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 64\/787347 and 157\/699864.\nAnswer: 6298776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 216 - 104. Let s = 422 + -408. Calculate the highest common factor of q and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = r**3 - 124*r**2 + 80*r + 7391. Is 56 a factor of i(124)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1724*w + 29 = 2*u + 1725*w, 5*w + 179 = 17*u for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3706*g - 4*g**2 + 3*g**2 + 5847*g - 4089*g + 0*g**2.\nAnswer: -g**2 - 1948*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 - 1022010?\nAnswer: -1021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0.3, -1617, -2, -0.2 in descending order.\nAnswer: 0.3, -0.2, -2, -5, -1617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 164890 and 10681?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 + 41 = -3*l. Let q = -5 - l. Suppose -q*r - 4*u + 38 = -2, -2*r - 3*u + 23 = 0. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (99 - 103) + -21 + (-5 - (0 - 5))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.65 - 1.95. Let t = 0.074 + -0.474. Which is the smallest value?  (a) o  (b) t  (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -m - q, 3628*m - 3629*m + q - 8 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111011 - -111011000110?\nAnswer: 111100000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 237 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (27\/(-4))\/(12\/(-64)). Let a = j + -16. Suppose 3*o + 5*l - 235 = 0, 13*l + 317 = 4*o + 16*l. What is the highest common factor of o and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4*n - 152 = 0, b - 24 - 113 = -n. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*z**2\/4 + 216*z - 15552.\nAnswer: -3*(z - 144)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*o = -10 - 80. Calculate the remainder when 15 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 335213 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -2*w**3 - 26*w**2 + 3*w - 9. Let u be k(-14). What is the highest common divisor of 31 and u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - (-1)\/2*2. Solve 5*m - 4*s = 3 + j, 0 = 5*m + s - 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 2\/7  (c) -97  (d) 0.5  (e) -4  (f) 75  (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 98663460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 371 - 1735 = -v - 19*z, -3*v - z + 60 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 22643573.\nAnswer: 2\/22643573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*(-18)\/4*(-4)\/(-6). Let y be (1 - (-10)\/n) + 644\/21. Calculate the greatest common factor of y and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {o: 3, h: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 21.66972 millilitres to litres.\nAnswer: 0.02166972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 572233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and 498.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 - (-3 + (-2)\/(-2))*-1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n\/((n\/(n*n**(-25)*n))\/n*n)*n**14 assuming n is positive.\nAnswer: n**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -40 + 19. Let a be g\/(-3) - (-6 - -10). Suppose -z - 4*z = -3*u + 2349988, -a*u = -3*z - 1409988. What is z rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 90 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pp when two letters picked without replacement from pqqqppqpqqpq?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of 245 and -21417006940.\nAnswer: -21417006695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-18)\/8)\/(6\/(-112)). Suppose 0*i = 3*i - t. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -839 - -871. Sort z, 5, 0 in descending order.\nAnswer: z, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3556 = 23*d + 1504. Let j = d - -228. Solve -3*w - 2*s = -w + 4, -s = 4*w + j for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 5:20 PM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 493010 divided by -1\nAnswer: -493010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9595.\nAnswer: 5, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -59 - -58.954. Let x = t + -4.354. Let b = 2.1 - x. Round b to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -143 + 142. What is the second smallest value in b, -6, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*i - 1. Let x(y) = 3*y**3 + 2*y - 2. Let d(b) be the first derivative of 1\/2*b**2 + 81 + 1\/4*b**4 + 0*b + 0*b**3. Calculate i*x(p) + 2*d(p).\nAnswer: -p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xidciiiii. Give prob of picking 1 i and 1 c.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from puxtppzppxx.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - (-3 + -1 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 74652 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.460499586 to 3 decimal places.\nAnswer: -0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b + 3*b - 1980 = 0. What is the highest common divisor of b and 180?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*2*(3*(sqrt(1900)*-2*6 - sqrt(1900)) - (1 + sqrt(1900) + 1)*1)**2.\nAnswer: -36480048 - 19200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/15, 743\/9, 0.6?\nAnswer: 743\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4331505 is divided by 275?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 3 = 7. Let p = 14 + -14.1. Let c = -0.7 - 0.3. What is the closest to p in y, -0.1, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + 0*c - 3*c = 67, -3*u - c = -47. Let h = 4 + -5. Let i be (8 - 4) + h*2. Calculate the greatest common factor of u and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 1400 = -3*b, -5*y + 3*b - 1400 = 2*b. Let m be (y\/(-88) - 3) + 84\/22. Sort 32, m, -4 in decreasing order.\nAnswer: 32, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29*l**2 - 103*l**2 - 11*l**2)*((3*l - 5*l + 0*l)*(-1 + 1 - 2) + 3 - 3 + 2*l + (1 - 6 + 3)*(-4*l + 4*l - 4*l)).\nAnswer: -2002*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4687, -6029, -7371?\nAnswer: -8713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 353627245 is divided by 61?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 20, 18, 16, 14, 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6.9 + 6. Let j = v + 1.2. What is the nearest to j in 3, -4\/7, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + 5 + (13 - 4 - 4). Suppose -4*v + z = 0, -3*v - 5*z = -0*z + 23. What is the common denominator of -79\/12 and (v - (-14)\/k) + (-4312)\/(-1920)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7*i**3*w**3 - i**3*w + 23*i**2 - 69*i*w**3 + i*w + 4*w**3 wrt i.\nAnswer: 42*i*w**3 - 6*i*w + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1150, -753, -342, 89, 546, 1035?\n\"Answer: c**3 + c**2 + 387*c - 1539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -243433 (base 5) in base 7?\nAnswer: -35643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3688)\/(-48)*(3001\/(-16) + 2). Let q = j + 14257. Find the common denominator of 34\/21 and q.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -9504 + -c?\nAnswer: -9511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1361, 2723, 4083, 5441?\n\"Answer: -k**2 + 1365*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2.59 in 537\/4, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 34*r**2 + 203*r - 202. Calculate m(8).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*z + 29*z + 4*z + 5 - 5.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**3 + 5*y**2 + 12*y - 1. Let m(g) be the first derivative of g**2\/2 + g + 30. Let f(b) = -5*m(b) + z(b). Calculate f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.4 and -65?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 6270 - 59?\nAnswer: 6212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -32, 5, -5, 4 in descending order.\nAnswer: 5, 4, -4, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2667979?\nAnswer: 2667979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20144 is divided by 105?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3440032110424 - -3?\nAnswer: 3440032110432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -214250 divided by 5.\nAnswer: -42850","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6.9 and 440?\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are -5\/12 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 135  (b) 7\/5  (c) -30141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 214\/209 + -16\/19. What is the third biggest value in 4, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 115 divide 21489820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04589717 to four decimal places.\nAnswer: 0.0459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**2 - 9*m - 15. Let c(w) = w**2 - w - 6. Let n(t) = -7*t**2 + 30*t + 68. Let a(b) = -4*c(b) - n(b). Determine -6*a(q) + 17*p(q).\nAnswer: -q**2 + 3*q + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-24)\/(-135) - -13*4\/(-130)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 185, -81, -357, -649, -963, -1305, -1681?\n\"Answer: -g**3 + g**2 - 262*g + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2)\/(s\/s**4))**(3\/29) assuming s is positive.\nAnswer: s**(3\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 603083 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - -0.0687333.\nAnswer: 0.1687333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) be the second derivative of 2*j**6\/75 + j**5\/25 - j**4\/5 - 2*j**3\/15 + 4*j**2\/5 - 196*j + 2. Factor f(z).\nAnswer: 4*(z - 1)**2*(z + 1)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1947120292?\nAnswer: 2, 13, 23, 31, 52517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*u + o = -19*u - 9 + 48, -u + 0*o - 1 = 6*o for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 2242, 13859, 25476?\n\"Answer: 11617*v - 9375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -13 + 14. Is -3\/14 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 726 - 757.945. Let o = q - 0.055. Let f = 32.16 + o. Which is greater: f or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4242689905 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -116200 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -2\/11  (b) -198  (c) -0.5  (d) -3\/7  (e) -3\/2  (f) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-4\/17))\/z**(-24) assuming z is positive.\nAnswer: z**(421\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 423400 divided by -365.\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) be the first derivative of 1\/3*p**3 + 29 + 0*p + 0*p**2 + 1\/10*p**5 + 3\/8*p**4. What is b in x(b) = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 432 and 38196333.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 4*k = 1321, -5*u + k + 1327 = -k. Let i = -485 + u. What is the tens digit of i\/(-12) + 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -10166, -10121, -10072, -10019?\n\"Answer: 2*j**2 + 39*j - 10207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 p when three letters picked without replacement from nycpucll?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = -y + 16, 17 = 4*m + 2*y - 7. Solve -m*u - 7 = 3*s, 0*u + 5*u = 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a + a - 2*a**2 - 2*a**2 + a**2 + 2*a**2 + (0 - a + 0)*(-3*a + 5*a - 4*a) + 3*a + 2*a**2 - 3*a - 5 + 5 + 2*a**2)*(2*a**2 + 4*a**2 - a**2).\nAnswer: 25*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*q - 71*q + 33075. What is the greatest common factor of q and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 362, 701, 1018, 1319, 1610, 1897?\nAnswer: 2186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**4 - 20*f**3 - 50*f**2 + 20*f + 48 = 0 for f.\nAnswer: -2, -1, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 36\/20*5\/3. Suppose -3*q - 3*m = -20 - 1, 0 = -5*q + k*m + 11. Let w be (-4)\/14 + (-2)\/(-7). Sort 5, q, w in decreasing order.\nAnswer: 5, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -23100 + 1?\nAnswer: -23033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 170864?\nAnswer: 2, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -9.9 - -10. Let o = -0.2 + n. Let f = -24.8 - -19.8. Which is the third biggest value?  (a) 1  (b) f  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/2  (b) -3  (c) -0.018  (d) 22521\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k\/k**(1\/3))\/k*k)\/k)**(-12)\/(((k*k**(-6)*k)\/k*k*k)\/(k*k*k**(-2\/15)\/k*k*k)) assuming k is positive.\nAnswer: k**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-9)*y**(4\/11) assuming y is positive.\nAnswer: y**(-95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.45877 and -27.\nAnswer: 12.38679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*m + 11*m + 7*m - 2 + (-1 - 1 + 1)*(4*m + m - 6*m).\nAnswer: 22*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 6\/5  (c) 0.3  (d) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 76122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8107535 to the power of 1\/2, to the nearest integer?\nAnswer: 2847","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 4044, 8094, 12132, 16152, 20148, 24114, 28044, 31932?\n\"Answer: -m**3 + 4057*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 9\/474284 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/163 or -1?\nAnswer: 4\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6 - 5. What are the prime factors of (-8)\/((a - -1)*-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 351 = -3*l + 363. Let w = 20 + 1. Let u be 28\/w - (-4)\/6. Solve -l*d + 2*x = -6, -u*d + 3*x = 2*d - 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -31, 47, 269, 707, 1433, 2519?\nAnswer: 4037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 4, -2\/11, -4, -3648758?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 250 = 7*a - 2*a. List the prime factors of ((-40)\/a)\/(2\/(-75)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75788593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*q = -16*q - 9, -2*i = -5*q - 133769. What are the prime factors of i?\nAnswer: 66877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(6\/13)\/(((c\/c**22)\/c)\/c) assuming c is positive.\nAnswer: c**(305\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -110110111111 (base 2) in base 16?\nAnswer: -dbf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.28 + -1.26. Let d = 2.540338 + x. What is d rounded to 5 dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -762331 > -762332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-12)\/3)\/((40\/15)\/(-2)). Let s be -5 + (-2 - (-1 - (1 + h))). Let j(b) = -3 + 3 + 1 - b**2. What is j(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((10*o**2 - 6*o**2 - 12*o**2)*(2 - 2*o - 2) - 110808*o + 108*o**3 + 110808*o)*(-2*o + 2*o + o).\nAnswer: 124*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -21\/2*h**3 + 57\/2*h**2 + 0 + 9*h = 0. Calculate h.\nAnswer: -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7730*d**2*k**2 - d**2*k + 52*d*k - 4*d - 2*k**2 - 26 wrt d?\nAnswer: -15460*k**2 - 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t*t*t\/(t\/t**(-5\/4))*(t\/t**(-10\/7))\/t*(t*t**(1\/6)*t*t)\/(t*t*t**(14\/9)\/t*t) assuming t is positive.\nAnswer: t**(451\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - -1a9d14?\nAnswer: 1a9d19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11 = 8*n + 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**5*n*n*n\/n**(-2\/7))**(2\/31)\/((n**(-1\/4))**49)**24 assuming n is positive.\nAnswer: n**(63914\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6.3 + 3.2. Let k = z - -1.1. What is the closest to 5 in 3, k, -3\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-6)*k*k\/k**(4\/7)*(k**(1\/3)*k*k)**(-8\/13))**29 assuming k is positive.\nAnswer: k**(-47560\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 45 * -269\nAnswer: -12105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/184 and -53\/16.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = -10*c + c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -1064*t**2 + 76*t - 66*t + 1053*t**2. Let b(d) = 2*d**2. Calculate b(i(n)).\nAnswer: 242*n**4 - 440*n**3 + 200*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/3)\/(l**(-6)\/l))**(12\/5) assuming l is positive.\nAnswer: l**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -121\/357 - -2\/357. Sort r, -0.5, 1, -30.\nAnswer: -30, -0.5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 6\/37 + -79\/259. Suppose 18 = 3*b + 3*s, 0 = 5*b - 2*s - 14 + 5. Suppose 2 = y + b. Is y at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -c - 36 + 4, -67 = -3*v - 8*c. Let t(a) = -1 + 0*a - 3*a**3 + a + 0*a. What is t(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from {m: 3, g: 5, k: 1, j: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q - 5*a + 1160, -3*q - 2*a = 42 - 743. What is the greatest common factor of 3713 and q?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 696350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 131a (base 12) in base 6?\nAnswer: 14034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = -32 + 15 - 26 - 12 - 7*l. Is 10 a factor of k(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three sixteenths of a century in months?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 20 = -0. What is the highest common divisor of 70 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 298385921.\nAnswer: 17, 181, 96973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 2993 a factor of 40561136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -c**3 + c**2 + c + 1. What is the smallest common multiple of 4 and a(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -55.825 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 229 - -37. What is the highest common factor of s and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) + -2*sqrt(88))*-3)*-2)\/((sqrt(96)\/(sqrt(36)\/sqrt(3)) + sqrt(8))*3).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -255 + 255.312. Let h = d - 0.282. Put 1\/8, 1\/7, -1, h in descending order.\nAnswer: 1\/7, 1\/8, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of -13*w**2\/2 - 3*w + 4. What are the prime factors of l(-5)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*t - 3*t + t - t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 199555895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sum 3419429.2 and 40.46.\nAnswer: 3419469.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5933*c = 5902*c - 17 - 14. Suppose 0*j + 90 = -3*s - 3*j, 0 = 3*s - 3*j + 114. Sort s, c, 2.\nAnswer: s, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - 7*r**2 - 4*r + 6. Let l be o(-6). Let m be (5 + l)\/(2\/8). Let w(b) = b**2 + 5*b. What is w(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 42803 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**1)**11\/(j**0)**(-20\/3))\/(j**5*j**5)**(-2\/23) assuming j is positive.\nAnswer: j**(273\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -306 - -547. Let v = -18327880\/75939 + -13\/4467. Let y = v + j. Which is greater: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 506 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 330729 = -2*o + 48729. What is o rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 95*a*z**3 + 287288*a*z**2 + 71661*z**3 + 51*z - 4 wrt a?\nAnswer: 95*z**3 + 287288*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes before 8:29 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + -1*(4 + (-4*(2 + -5 + 1*((sqrt(2448) + 0 - sqrt(2448)) + sqrt(2448)) + sqrt(2448)))**2).\nAnswer: -156815 + 2304*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8471 = -6449*m - 36672 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 39*r**2)*(-2*r + 2*r**2 + 8*r - 4*r**2).\nAnswer: -78*r**4 + 234*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -22792*o**4*y + 861*o**4 - 62*o**2*y + 2*o**2 - 41*o*y - 18*o + 2*y - 2 wrt o.\nAnswer: -547008*o*y + 20664*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2836 divided by -151?\nAnswer: -2836\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 15.74?  (a) 4\/7  (b) -2  (c) 0  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**3 + 4*m**2 + 5*m + 4. Let b be c(-4). Let h be 42\/(-8)*b\/6. What is the third derivative of -h*j**3 + 2*j**2 - 2*j**4 + 14*j**3 wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 - -15. Let o = -1 + 9. Calculate the smallest common multiple of 42\/8 - 2\/o and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14.2 + -5.2. Let a = z - -1. Let j = -9.32 + a. Round j to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 57*r**2 + 47*r**3 - 74*r**3 + 0*r**4 + 2*r**4 wrt r?\nAnswer: 48*r - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that p**4\/4 + 5*p**3\/4 - 57*p**2\/4 + 99*p\/4 = 0.\nAnswer: -11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 36 + -8. What is the remainder when 109 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*l**3 - 770*l + 1434*l - 664*l.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 32\/18 + (-6)\/(-27). Suppose -47*z + 151*z + 499 = 83. Put 1, s, z, -64 in increasing order.\nAnswer: -64, z, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1990 is divided by 166?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -2*j, 0*w = -3*w - 5*j. Suppose 0 = l + 3*r, w = -l + 2*r + 2 + 3. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 201907 is divided by 100854?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3 - 6215*d**2 - 12427*d - 6213.\nAnswer: -(d + 1)**2*(d + 6213)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 18*g - 23*g + 19115475 = 0, -g = 5. What is q rounded to the nearest 100000?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -53617\/15 - -3594. Let p = r - 97\/5. Sort p, 2\/7, -4\/3.\nAnswer: -4\/3, p, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 3*z**2. Let t be (-3)\/9*-3*5. Let f(p) = 4*p + 0*p + 2*p - t*p. What is f(r(x))?\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to 1\/1747?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -25, -82, -211, -448, -829, -1390?\nAnswer: -2167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, 6450, -1\/3, 0.5, 2, 1, -1\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 5*l - 23, 3*a + 14 = a + 5*l. Solve 163 = a*r + 178 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*m + 14 = -8*m. Suppose -3*u + m = -3*q - 38, 5*u - 3*q = 65. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k - 208 - 212. Let a = -158 - k. Let p = a - -166. What is the remainder when p is divided by 30?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -3*p + 3*g, 3*p = -3*g + 2 + 10. Suppose 4*b + p*u + 0 = 20, -4*b = -3*u + 1. Let w = -6 + 8. Is w at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 - 5. Let a be (30\/(-1))\/(m - 0). Solve 5*i = 20, 5*i - a = 5*y - 4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -105b0 (base 12) to base 7\nAnswer: -116640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2*y - 3 = -s, -3*y = -3*s + 3. Let r(x) be the first derivative of 0*x - 1\/16*x**4 - 2 + 0*x**3 + 1\/8*x**s. Factor r(d).\nAnswer: -d*(d - 1)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.41496 less than -77.3812?\nAnswer: -83.79616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -123 + (-77 - -113) - -64?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 1809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 9*d**2 - 75*d + 25. Give q(-12).\nAnswer: 2221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 (base 8) in base 9?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 51*f - 10*f + 66 + 57 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-33*h + 17*h + 8*h)*(3*h - 4*h - 6 - 3)*(-1 + 3*h + 1) to the form t*h**3 + y*h + r*h**2 + x and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 1082 divide 319593586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -13*49\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 1\/6 and 21\/23833 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*k = 11*k + 14074. Suppose -k*s + 175 = -449*s. Calculate the remainder when 69 is divided by s.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 70 = -64*g. What is the nearest to -2\/11 in -5, g, -1, -56?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 32673 - 752. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 - 23 = -i. Let j be i\/16 - 2\/(-8). What is the common denominator of j\/10*(-237)\/18 and -7\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 183132, 183273, 183500, 183813, 184212, 184697, 185268?\nAnswer: 185925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 16 = 3*q. List the prime factors of 2\/8 - (q - (-3159)\/(-36)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*b - 19 = 0, -2*b - 3 = 13*q - 10*q + 2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d - 1 + 4*d + 3*d)*(2*d**2 + 3*d**2 - 6*d**2)*(d**2 - 2*d**2 + 3*d**2) + 26*d**5 - 187*d**2 + 187*d**2.\nAnswer: 22*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddvvv. What is prob of picking 2 d and 1 v?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.5 - 2.5. What is the third smallest value in 5, s, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (90\/(-63))\/(-1)*(198\/36)\/((-2)\/(-28))\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -145*d**2 + 1 - 17*d**2 - d**2 - 4623*d + 3*d**2.\nAnswer: -160*d**2 - 4623*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2 + (-2 - 1) + 58\/57. Let h = i + -409\/570. Is 0 bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 137532, 137531, 137530?\n\"Answer: -v + 137533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40044 is divided by 10009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5913.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*m**3\/11 - 980310*m**2\/11 + 1960582*m\/11 + 14704590\/11 = 0.\nAnswer: -3, 5, 490153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1111\/6806 - -51\/83. Let h = f - -2217\/902. Let t = h - 244\/99. Sort t, 3, -2\/5 in increasing order.\nAnswer: -2\/5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j**2 - j + 2. Let q(s) = 174*s**2 - 5*s - 579. Let y(f) = q(f) - 8*w(f). What is the first derivative of y(i) wrt i?\nAnswer: 316*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4197, 16752, 37677, 66972, 104637, 150672?\nAnswer: 205077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12\/13*i**3 + 2\/13*i**4 + 0 - 18\/13*i**2 - 28\/13*i = 0. What is i?\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 0 - ((-22)\/5 + (-3)\/5). Solve -25 = 2*c + h*f, -9 = 2*c + c - 2*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-31486)\/182 - -184) + 198\/(-52)*2. Suppose 42\/13 + j*v + 2\/13*v**2 = 0. Calculate v.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the third derivative of g**8\/336 + g**7\/35 + 7*g**6\/60 + 4*g**5\/15 + 3*g**4\/8 + g**3\/3 - 2*g**2. Factor j(c).\nAnswer: (c + 1)**4*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*d - 53*d - 54 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 2*b**3)*(-18*b + 4*b + 64*b + 81*b).\nAnswer: -262*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22407 - 4078. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2 - -4\/3. Let v = 56 - 55.96. Which is the biggest value?  (a) v  (b) 0.3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -49*l**4 - 23*l**4 + 44*l**4 + 19*l**2 wrt l.\nAnswer: -672*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -9, -0.3, -0.22?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 3\/((-90)\/4) + 160\/75. Is x bigger than 12\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -5*m**3 - 18*m**2 - 7*m + 9. Let y be w(-3). Solve -y*v + 54 = 6*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 4*o**2. Let t(b) = -7*b - 2. Give l(t(w)).\nAnswer: 196*w**2 + 112*w + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 3:00 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 3 = -w, 4*t - w - 3 = 0. Suppose t = i - 9 - 47. What is the greatest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = y + 7. Let n be w(-3). Differentiate 17*f**n - 2 + 153*f**3 - 153*f**3 wrt f.\nAnswer: 68*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -0.2, 0.2, -115, 116358, -3, -1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 384 and 9264.\nAnswer: 74112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*g**3 + g + 0*g + 0 + 3 + 6*g**3 as r*g + j + h*g**2 + l*g**3 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13.4 - -2.42. Let j = 11 + d. Put -1, j, 0.1 in increasing order.\nAnswer: -1, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 659658998 to the nearest integer?\nAnswer: 25684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18818051?\nAnswer: 7, 1021, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2.017 + 2. Let b = u + 4.617. Let f = -0.6 + b. What is the smallest value in -2, f, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1048221\/675 + (-4)\/(-150)*3. Let j = g + -1551. Factor 4\/7*d**3 + 48\/7*d - 24\/7*d**j - 32\/7.\nAnswer: 4*(d - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/64)\/((-2)\/(-12)).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 2, w: 7}. What is prob of picking 3 w?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from tzxwzjmx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1330289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/5)\/r)**(-4\/7))**18\/(((r**(-3)*r)\/r**(4\/3))\/(r*r**(-2\/5))**(9\/7)) assuming r is positive.\nAnswer: r**(1079\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 6 = 5*w - 2*w, -5*u = -3*w + 6. Suppose 0 = 7*l - w*l - 35. What is the highest common factor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 162b9 (base 12) in base 14?\nAnswer: b6c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1239 - 1236. Calculate the lowest common multiple of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 309 - 171 = 0. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*1*(3*(sqrt(45)*2 + (2*sqrt(180) - sqrt(180))) + 2).\nAnswer: -144*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2836, -22773, -77038, -182851, -357432, -618001, -981778?\nAnswer: -1465983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = h - 3*h. Let t(k) = 3 + k**2 - 3 - 2*k - 4. Let f be t(4). Sort h, -1, f in increasing order.\nAnswer: -1, h, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -7.2 - -7. Let s = c + 0.2. Let v = -1.2 + 0.2. What is the closest to v in s, 0.2, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p - 17 + 23 - p. What is q(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2200 - 4405 + 2205 + 114*t to d*t + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 13366, 25494, 37622, 49750, 61878?\n\"Answer: 12128*q + 1238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -21\/320060 and 59\/5361005?\nAnswer: 21444020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-6)\/(-12))\/((-22)\/(-616))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-three thirds of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = -15501*m + 15507*m. Let u(z) = -z**2 + 9*z - 8. Let w be u(8). What is the remainder when m is divided by (w + 2\/(-5))*-10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:01 PM and 5:48 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 + 11*r**2 - 8*r - 7. Let u be i(9). List the prime factors of (-2 + 3)*(u - -1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(1\/59)*p*p\/(p\/(p*p*p\/p**(-4\/23)*p))*((p\/(p**(4\/13)\/p))\/p)\/p**(-2\/57))**(1\/20) assuming p is positive.\nAnswer: p**(5951027\/20110740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1071*s - 1066*s = 25. Let f = 12 + -7. What is the second derivative of 6*n**f + n - 5*n**s + 9*n + 6*n**5 wrt n?\nAnswer: 140*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 584497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 15) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(22)*-3)\/(sqrt(2) + 1*sqrt(72)) + (-3*3*(sqrt(1331) + sqrt(1331) + 1))**2 + -2.\nAnswer: 24942*sqrt(11)\/7 + 431323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3677, 14710, 33099, 58844?\n\"Answer: 3678*o**2 - o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 12:19 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5025 - 4886. What is the remainder when 562 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**2 + 262469*x + 787398 = 0.\nAnswer: -262466, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (5\/(15\/(-27)))\/(-3). Suppose -2*w - 4*p - 148 = 0, 3*w = -0*p - i*p - 210. Let x = -50 - w. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*b**3 - 1866*b**2 - 128401*b - 2930460.\nAnswer: -(b + 60)*(3*b + 221)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 53 a factor of 3663741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 46*(-25)\/(-35650)*-1.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = l**3 + 32*l**2 + 30*l - 34. Give g(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.054 * -1.6155.\nAnswer: -0.087237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/82 and -191\/510.\nAnswer: 20910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 207 = -v. Suppose -2*h + 244 = -0*h. Let a = h - v. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -279015, -279003, -278959, -278865, -278703, -278455?\nAnswer: -278103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1637544, -1637550, -1637558, -1637568?\n\"Answer: -z**2 - 3*z - 1637540","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -5 + 235?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 700 and 5740.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -3*j + 10. Suppose -8 = -3*x - 0*v - j*v, -x = -2*v. Determine p, given that -1\/2*p**x - 1\/2 + p = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*w - 5*w. Let u(l) = 2*l**2 + 2*l - 3. Let h(r) = -4*r**2 - 5*r + 8. Let c(g) = -2*h(g) - 5*u(g). Give c(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k*(k*k*k**(-12)*k)\/k)\/k**(-1\/5) assuming k is positive.\nAnswer: k**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/f**3))**32\/((((f*f**8)\/f)\/f)\/f**9) assuming f is positive.\nAnswer: f**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2.4 and -10231.7513402?\nAnswer: 10229.3513402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-24)\/16*28*(-5)\/((-180)\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -9320 in -0.3, 5059, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/((s**9\/s)\/s)*s\/s**(-11\/5)*s*s**(-10\/9)\/s**18)**(-17\/3) assuming s is positive.\nAnswer: s**(15232\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 0 + (1 - -7 - 17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2 - 2228210*r - 1241229951025.\nAnswer: -(r + 1114105)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 51 = -5*v, 3 = -v - 2*i - 5. Let j = 11 + v. Let y be ((-1)\/(1\/4))\/(-2). Solve y*t = 1 + j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89985287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2690666 divided by 1.\nAnswer: 2690666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = z - 2, 4*q + 2*z - 6*z - 16 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -2  (b) 9  (c) -5  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 - 13)*(-2)\/24. Let s = -0.27 - 0.03. What is the nearest to 1\/3 in s, d, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-4) - (-430866)\/27 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - u + 2 + 2*u - 3*u + 0*u + (-1 + 3 - 1)*(3 - 3 + u) + 4*u - 3*u - 3*u - u + 6*u - 4*u to i + t*u and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 58 + -72. Let n be (63\/u)\/(2\/4). Let a be 84\/10 - n\/15. Let d(m) = m - 10. Determine d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + 702 + -3 + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 4*a**2 - 7*a - 5. Give h(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -t**4 - t. Let b(h) = -9*h**4 + 5*h. Let g(j) = -b(j) + 3*w(j). Find the second derivative of g(n) wrt n.\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*z + 3*z + 3*z - 1.\nAnswer: 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 256461425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -2*u - 51, 4*f - 9*f = u - 7. Calculate the common denominator of -67\/8 and 21\/(-54)*(1 + u).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x + 8*x = -6. Suppose -4*g - 16 - 4 = 0. What is the remainder when 15 is divided by x - g\/(10\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 84.74*0.843\nAnswer: 71.43582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 15810 + -15829. Sort t, -2\/7, 2\/15, -2 in decreasing order.\nAnswer: 2\/15, -2\/7, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 288 - 292. What is the nearest to g in -3, -2\/3, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 0, -6, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -3 + -4b24?\nAnswer: -4b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 71869.32 months?\nAnswer: 59.8911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-9)\/6 + (-77)\/(-14). Suppose i*k + 4 = 128. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q + 4. Let d be 1*3 - -18*1\/(-2). Give v(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 822*t. Let p(u) = -3*u**2. What is p(n(s))?\nAnswer: -2027052*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 36?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jobooxmmjrm. What is prob of sequence jmmj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:59 PM and 12:15 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1 - -1*(-8)\/4)\/(-1). Suppose 0 = h - 0*h. Let l(j) = 2*j - 2*j**2 - 4*j + j**2 - v + h. Give l(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 3*b**2. Let r(g) = -g**2. Let t(i) = 2*r(i) + x(i). Let v(k) = -39263*k + 19625*k + 19623*k. Give v(t(o)).\nAnswer: -15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 197 times 3.1\nAnswer: 610.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 6, g: 7, e: 2}. Give prob of picking 1 g and 2 l.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -82*s - 2. Let y(f) = 204*f + 5. Let q(x) = -5*n(x) - 2*y(x). Let j(u) be the third derivative of -2*u**4\/3 - 2*u**2. What is j(q(t))?\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + f**3)*(f**2 - 3*f**2 - 3*f**2) + (4 - f**2 + 3*f**2 - 3)*(-3*f**2 - f**3 + 3*f**2).\nAnswer: -7*f**5 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 12300 - 10?\nAnswer: 122b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**3 + 2*z**3 - 2*z**3 - 3*z**3 + 2*z**3 + 3*z**3 + 6*z**3 - 4*z**3 - 4*z**3 + (-z + 1 - 1)*(z**2 + 0*z + 0*z) - 5051*z**3 - 5764*z**3 + 2303*z**3.\nAnswer: -8512*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 250 = 2*z + 16, -2*a + 344 = 3*z. What is the highest common factor of 29 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -v**3 - 35*v**2 + 155*v - 44. Give o(-39).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 33 minutes after 5:36 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:15 AM and 11:36 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 12\/17 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8667 - 52121\/6. Find the common denominator of (159\/9)\/(12\/2) and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6593661\/40 + -164808. Let t = -21451\/40 - n. Let f = t + 22327\/40. What is the common denominator of f and -25\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of -25*s**8\/56 - 31*s**4\/6 - s + 1. What is the third derivative of d(v) wrt v?\nAnswer: -3000*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -4*p**2 - 5*p - 2. Let k be b(-4). Let g = -40 - k. Suppose 0 = 4*s - 3*q - 36, -4*s + 3*s - 2*q - 2 = 0. Is s > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 + 14*n - 23. Let p be b(10). Suppose -h + 2*y = -p, -4*h + 526 = -4*y - 338. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*t = -80 + 108 + 247 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - -5 - -12 - (-23 + 28)) + 35?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.157 and -0.9?\nAnswer: -0.1413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2439 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/((q\/q**(-3\/16))\/q))\/(q\/(q\/q**(2\/7))))\/(q\/q**2)**41)**(-2\/57) assuming q is positive.\nAnswer: q**(-4651\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 - 8*h - 5. Let u(d) = -1. Let q(f) = -g(f) - u(f). Let s be q(-8). Suppose -s*z + 30 = -z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19033558393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - m = 62, -5*o + 2*o + 86 = -5*m. Calculate the greatest common factor of 128 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 8. Let z = -14417 + 14520. Calculate the remainder when z is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6628, -6646, -6666, -6688, -6712, -6738, -6766?\nAnswer: -6796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of -763*b**3\/6 + b + 478. Let i(g) = 3*g. Give i(s(h)).\nAnswer: -2289*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxzdduvsdxuuuuxsuz. What is prob of picking 1 u, 2 x, and 1 d?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 2 = 10. Let q = 13 - x. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, x: 2, j: 4, u: 1, a: 2}. What is prob of sequence bu?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -171, -173, -165, -141, -95, -21, 87?\nAnswer: 235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 minutes before 7:22 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 1227588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -167*s - 5 + 160*s - 2*s**3 + 56*s**2 - 24*s**2 + 4 wrt s.\nAnswer: -12*s + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12.4 + 12. Let w = -4 + 4.6. Let m = w + l. Which is the nearest to -1?  (a) m  (b) 4\/7  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1627, -1591, -1557, -1525, -1495, -1467?\nAnswer: -1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the third derivative of l**7\/525 + l**6\/200 + l**5\/300 - 85*l**2. Factor r(g).\nAnswer: g**2*(g + 1)*(2*g + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w**2. Let h(b) = -4*b**2 + 29. What is v(h(c))?\nAnswer: 32*c**4 - 464*c**2 + 1682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 10*x**2 - 13*x + 16. Give q(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 121847 to the nearest 10000.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -10  (b) -0.5  (c) -21  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -8*j**2 - 111*j + 139. Let d be f(-15). Solve -d*h + 0*h = 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 0.79422498\nAnswer: -1.58844996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q**2 + 3*q**2 + 8*q**2)*(q + 0*q - 2*q)*(2*q - 5 + 4 + 3) - 2*q**4 + 4*q - 4*q.\nAnswer: -16*q**4 - 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 4*t**3 + t**2 + 7*t - 13. Suppose 18 + 3 = -3*z. Let g(a) = a**3 + 2*a - 4. Give z*g(u) + 2*v(u).\nAnswer: u**3 + 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 7275.464 years?\nAnswer: 87305.568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -2. Let v be (-5)\/(5*d\/(-7140)). Let r be (330\/77)\/((-2)\/v). Round r to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -y**4\/8 + 280*y**3 - 235200*y**2 + 87808000*y + 1890. Factor o(a).\nAnswer: -(a - 560)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 4*s + 5 = -2*q, 2*s - 10 = 0. Suppose q = -2*x - x - 12. Let i = 88 - 89. Sort x, 0, i in increasing order.\nAnswer: x, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v - 2813*v**2 - 3 + 8 + 3*v - 2*v.\nAnswer: -2813*v**2 + v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 40*k**3 + 6*k**2 + 96*k - 227. What is t(2)?\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 25*i**4 - 6960*i**3 - 1446295*i**2 + 579630*i = 0.\nAnswer: -139, 0, 2\/5, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-2\/7))**(40\/9)\/(y**(-4)*y*y*y**0) assuming y is positive.\nAnswer: y**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bybyxyyyyyyeyyy. What is prob of sequence yxy?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 108 and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 859907*i**2*y + 39336*i**2 + 2*i wrt y?\nAnswer: 859907*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.0235 + 0.0237494. What is u rounded to six dps?\nAnswer: 0.000249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + -2132584818.\nAnswer: -2132584814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 3128383 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 739260 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*g**3 + 86*g**3 + 21*g**2 - 47*g**3.\nAnswer: -2*g**3 + 21*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -106 + 114. Let t(a) = -a**3 + 5*a**2 + a + 1. Calculate the remainder when w is divided by t(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 119 - 113. Solve 4*l - 14 - f = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*f + 474 = 4*f. Let v = 1340 - f. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 3*h**4\/8 + 216*h**3 + 127533*h**2\/4 + 1417284*h + 11084931\/8 = 0.\nAnswer: -377, -99, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.3 + 1.2. Let h = -130 - -912\/7. Sort a, -0.3, h, 2 in decreasing order.\nAnswer: 2, h, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, b: 2, h: 9, o: 1, r: 3, s: 3}. Give prob of picking 2 t and 1 b.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes after 2:16 PM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 32115 (base 8) to base 2\nAnswer: 11010001001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h**2 + 62*h + 14*h**3 - 4*h**2 + 14*h**2.\nAnswer: 14*h**3 + 16*h**2 + 62*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -179 + 186. Is (-120114)\/(-4) + b\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3788 divided by 947\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1405*j**2 + 726*j**2 + 740*j**2.\nAnswer: 61*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = 8*n. Suppose g = -5*p + 40, n = 6*p - 2*p - 20. Solve g = -v - 4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 1 + 18*h + 8*h to the form f + d*h and give d.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-40)\/(-6) + -6)*(-7)\/(7\/(-6)). Solve -6*x - 14 = -2*h, h + c*h = 2*x + 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a tonne in kilograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23733427?\nAnswer: 1439, 16493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 195.299998823 - 195.3. What is l rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 38457314.\nAnswer: 2, 7, 1567, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*u + 76 = 122*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -7*f**2 - 13*f - 9. Let i(w) = 13*w**2 + 27*w + 19. Let v(l) = -3*i(l) - 5*t(l). Find h such that v(h) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -546 + 610. Suppose 0 = 5*u + 31 - 86. What is the remainder when m is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (4\/(-10))\/((-6)\/(-5)). Suppose 3 = -3*q - 4*y, 8*q - 3*y + 4 = 4*q. Which is smaller: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -134959.0861 + 134952. Let y = j - -12.28605. Let i = -5.2 + y. Round i to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-19)\/(-5) + (-19)\/(-95). Let l = -3 - -2.6. Which is the closest to -2\/7?  (a) q  (b) l  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 6*v**2 + 2*v + 1. Let f(h) = h**3 - 5*h**2 + 3*h - 10. Let m be f(5). Determine n(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 341*t - 370*t + 37*t**2 - 20 - 36*t**2 to the form x*t + m*t**2 + n and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 54391780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: What is next in -753, -796, -835, -864, -877, -868, -831, -760?\nAnswer: -649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4136 or -1.5?\nAnswer: -4136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 923, 755, 589, 425, 263?\n\"Answer: f**2 - 171*f + 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*w**2 + 42 - 42 - 15*w**2 + 12*w**2.\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 122123211 - 120001?\nAnswer: 122003210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 3 n when four letters picked without replacement from {n: 3, u: 4, t: 6}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -22333 + 2?\nAnswer: -22331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-12)\/40 - 2193\/1290. Put c, -3, -44, -7 in ascending order.\nAnswer: -44, -7, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1 + 4. Let d = 4 + 2. Let u be (-303)\/(-9) - 4\/d. What is the highest common factor of u and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 4*a**3 - 3*a**2 - 6*a + 25. Let l be r(3). What are the prime factors of l\/66*1866\/4?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of m**6\/120 - m**5\/6 - 5*m**4\/12 - 5*m**3\/6 + 2*m**2. Let k be a(11). Is 534\/(-3)*(-3)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -3\/5, 110, 11 in ascending order.\nAnswer: -3\/5, 3, 11, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1330212132 (base 4) to base 15.\nAnswer: a1346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 575*q = -2354*q - 12*q - 147050 for q.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -7 - 0. Let g = t + 6.7. Let z be (2\/5)\/(4\/(-2)). Which is the biggest value?  (a) -1  (b) g  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 + (-3 - -2 - 0). Let i be (-1)\/(1\/(h\/9)). Let v be (52\/(-65))\/(8\/(-20)). Which is the closest to v?  (a) 2  (b) i  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -655 + 656. Let h be (-1 - -1)\/(l - 2)*1. Solve h = -5*u + 4*j - 7, -5*j + 2*j + 9 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 1\/37, -2\/7, -4?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(88)*-1*3 + sqrt(88) - (sqrt(88) + (-5*sqrt(88) + sqrt(88))*5))\/((1*2*sqrt(96))\/(sqrt(12)*-1*-6 + sqrt(12))).\nAnswer: 119*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2*(444\/96 + 2\/(-16)). Solve -22*j + 91 = -w*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 138492.92 - 11.\nAnswer: 138481.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13 + -11. Solve q*x = 6 + 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, -0.2, -0.55, -3\/2, 194, 3?\nAnswer: 194","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5679206.\nAnswer: 2, 13, 23, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**3 + 6*y**2 - 8*y - 3. Let u be k(-7). Suppose -u*q + 2 - 6 = 0. Let w be (9 - (11 + -3))\/((-4)\/1). Is q greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 9 - -5. Sort 2, 1, t in descending order.\nAnswer: t, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10, 18, 26, 34, 42, 50?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 119 - 397 = -i, 3*i - 218 = 4*x. Let s = x - -46. List the prime factors of (-98)\/(-4) + (-5)\/s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6033566 to the power of 1\/2, to the nearest integer?\nAnswer: 2456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -135254, -136111, -136968, -137825, -138682?\nAnswer: -139539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -33 - 11054?\nAnswer: -11131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = -4*i + 206574 + 744695, -3*o + 951275 = 4*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6264281 is divided by 3132128.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 1585012436*s**3*u + 453876908*s**3 wrt u?\nAnswer: 1585012436*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14007*d**6 - 8*d**5 - 143*d**3 + 136534381*d**2.\nAnswer: -1680840*d**3 - 480*d**2 - 858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 48  (b) -0.5  (c) 0.0197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2657906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -3539, 21, 1, -5, -2, 29 in increasing order.\nAnswer: -3539, -5, -2, 1, 21, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51388836 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together -551013 and 629.883194.\nAnswer: -550383.116806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 17*(17 + -3) - 2. Suppose 4*s - i = -0*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/4 - (-203)\/385. Let r = g + -5\/22. Is 1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19472 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 55531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + 1)*(2*q + 2*q + 0*q)*(4*q - q - 5*q).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + 13. Suppose -4 = 7*b + 24. What is the remainder when (2 + -1)\/(206\/(-52) - b) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -294 + 298. Suppose 3*p = -m*w + 3075, -w + p + 958 = 198. List the prime factors of w.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3262755 - -1015567?\nAnswer: 4278322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(1088)*-1 + sqrt(1088)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3\/16 - (2\/80 - (-183250)\/20000)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -156*p - 157*p + 395*p**2 - 158*p + 469*p.\nAnswer: 395*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0056154201 rounded to four dps?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s + 12, 0*u - 4*s - 12 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/2 - 625*y\/2 - 312.\nAnswer: -(y + 1)*(y + 624)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3 + 52*y**2 - 50*y.\nAnswer: -2*y*(y - 25)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + w + 45 = 0, 1819015*t = 1819018*t - 4*w + 107 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 + 87*f**2 - 1028*f - 152. Calculate q(73).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -525 + 1?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -152.9 and -5?\nAnswer: 764.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 37*a + 7. What is i(-4)?\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4*(27\/(-12))\/(-1) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v + 661 = -2*v + 666. Sort 11\/18, v, 2\/7 in descending order.\nAnswer: v, 11\/18, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 3*y - 1. Let h(m) = -100*m**3 + 3*m**2 - 18*m - 69. Let c(q) = 6*d(q) + h(q). What is the third derivative of c(a) wrt a?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 43*a - 43*a + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 661733470 to the power of 1\/2, to the nearest integer?\nAnswer: 25724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 473*o - 475*o = y + 12, 0 = -y + 12*o + 16 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 744026.\nAnswer: 2, 372013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4\/11, -899, 564, -0.3, 1\/4?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -7*o**3 + 4*o + 1. Suppose 3*c - 7 = 5. Let p(f) = -20*f**3 + 11*f + 3. Let b(w) = c*p(w) - 11*u(w). Differentiate b(t) with respect to t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((2\/(-18))\/((-12)\/54))\/1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187 is divided by 53?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i + 0*i + i)*(0 + 14*i + 3*i + 2).\nAnswer: 34*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19\/38*5*(-16)\/(-420).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (1 - -4) + -1 + -2 and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes before 3:13 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 100 is divided by 44.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 71 - 66. Suppose -h - r*u = 8, h + h - 3*u - 10 = 0. Let j be (-2)\/3 - h*(-2060)\/24. What is j rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2\/15 - 2192*u\/15 + 2912\/5.\nAnswer: 2*(u - 1092)*(u - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -27556*l**2 - 16. Let o(x) = 15746*x**2 + 9. Determine 9*i(w) + 16*o(w).\nAnswer: 3932*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z**5\/7 - 16*z**4\/7 - 34*z**3\/7 + 120*z**2\/7 + 216*z\/7 = 0.\nAnswer: -2, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 1:55 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of 9*b**4\/4 - 5*b**3\/3 - 3*b**2 + 12*b - 13. Let m be p(-6). What is the tens digit of 12\/78 - m\/26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*5*sqrt(120)\/sqrt(5)*-6)\/((sqrt(120) + (sqrt(120) + sqrt(120) + sqrt(120)*1*6 + sqrt(120) + sqrt(120) - sqrt(120)))\/(2*sqrt(10)*6)).\nAnswer: 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q\/(q\/q**(-8))))**(30\/13)*q**(1\/2)*(q**(8\/7)*q)\/q*q assuming q is positive.\nAnswer: q**(4261\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 59148 and 48.\nAnswer: 236592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 362271809 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32716 is divided by 1092.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.4, -5, 28, 15781?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1104214, 2208434, 3312654?\n\"Answer: 1104220*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, h: 6, c: 2, y: 2, z: 3}. What is prob of sequence czzh?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 238416 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 w, and 1 g when three letters picked without replacement from {s: 1, h: 1, w: 1, g: 3, l: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -0.12  (c) 6  (d) 0.1  (e) -0.6  (f) 59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3132291559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (7\/(-4))\/(19380\/(-1764) - -11). Let v = 134791\/1048 + d. Is -2\/3 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-42))\/(22\/(-77))*-2\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2 - -3) + -3 + 2. Suppose 0*d - 4*d = v. Suppose -h + 5 = -d*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 124, 135, 134, 115, 72?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 55307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -1633000 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1146 divided by 382\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Add together -190550 and 1822.05.\nAnswer: -188727.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -6*j**2. Suppose 3*l - 3 - 33 = -5*v, -5*l = 5*v - 70. Let t(x) = l*x**2 + 2*x**2 - 15*x**2. Give t(d(n)).\nAnswer: 144*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 PM and 8:46 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -5  (b) -158  (c) 18\/7  (d) 3  (e) 56\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 372 minutes after 12:07 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = l**3 - 3*l**2 - 2*l - 623. Let f be a(0). Is f <= -624?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -53857\/280 + 1341\/7. Find the common denominator of 57\/8 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*s + 6*s. Suppose s*t - 5*t = k - 362, 6 = 3*k. What is the highest common divisor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 11*m**2 - 16*m - 7. Does 6 divide q(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of x**5\/24 + x**4\/8 + 5*x**3\/2 - 31*x. Let n(l) be the second derivative of q(l). Give n(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the first derivative of -2*y**3\/3 + 3*y**2\/2 + y - 5. Let j be (-3 - 0)\/((-1)\/2) - 9. Let f(l) = -1 + 4*l**2 + 2 - 5*l - 2. Give j*f(u) - 5*k(u).\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + -12 - 22 - (1 - 5)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h\/(((h\/(h\/(h*h**(-8)*h*h))*h*h)\/h*h)\/h*h*h)))\/(h**6*h))\/(h*h*h*h\/(h\/(h**(1\/4)*h*h))*h*h)**(-2\/15) assuming h is positive.\nAnswer: h**(-241\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v + 2. Calculate the least common multiple of 8\/(-6) + (-6090)\/(-126) and g(-5).\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3*sqrt(1188))\/(sqrt(3)*-1*5).\nAnswer: 3 + 18*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 88  (b) 3  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2.917 - 0.083. Sort p, 160, 9.\nAnswer: p, 9, 160","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -2, 2, -14, 5, -5 in ascending order.\nAnswer: -14, -5, -2, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + 0 + 3 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11 divided by 68\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = 2*k, -3*q - 4*k - 248 = -213 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 80768 and 1506828.\nAnswer: 2524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.3526508l?\nAnswer: 352.6508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-5*(sqrt(704) + -1 + sqrt(704) + 2) - (1 + (sqrt(704) - (sqrt(704) + -1)) + (sqrt(704) - (sqrt(704) + -1) - sqrt(704))*4 + sqrt(704)))**2.\nAnswer: -207702 - 7392*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3.06 - 9.64. Let k = 0.7 + m. Let l = k - -7. Which is the second biggest value?  (a) l  (b) 0  (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 230037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 74831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that 20480*b**4 + 17255040*b**3 + 3707335845*b**2 + 30692672010*b + 64798866405 = 0.\nAnswer: -417, -273\/64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -1\/8, -134\/5, -47, -1713?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 222*m - 216*m = 81120. List the prime factors of m.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 11) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132)\/(-1*sqrt(12)*2))**2 - ((sqrt(11) + -1)*-5 + sqrt(44)\/sqrt(4) + 3).\nAnswer: -21\/4 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 10 = 5*g + 23, -3*g + x = 8. Put g, 21, 1, -37, -5 in ascending order.\nAnswer: -37, -5, g, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4066499887 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 31.752 from 0.0645.\nAnswer: -31.6875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6)\/45 - (-11432592238)\/300. Let y = 38100757 - n. Let o = 7884 + y. Find the common denominator of o and 51\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 55d539 (base 14) in base 6?\nAnswer: 142312451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 12 + 32 = 0. Let a(i) = 11*i - 1. Suppose 5*c - 5*x + 5 = 35, 0 = -2*c + x + 7. Let y be a(c). What is the highest common factor of m and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 16*a**2 - 139*a - 14. Give v(9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 - 7*o**2 + 7*o - 4. Let c be w(-8). Suppose c*s = -4*j + 128, 15 = -8*s + 5*s. Let y = -31 + j. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 119647 to the power of 1\/2, to the nearest integer?\nAnswer: 346","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 402477.\nAnswer: 3, 19, 23, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 0) + -33 + 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -3*sqrt(2299))*-3.\nAnswer: -6 + 99*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (6\/8)\/((-2)\/(-320)). Suppose 0*v - o = 3*v - 68, -89 = -4*v - o. Let t be v\/(-49) + (-426)\/(-14). What is the greatest common factor of h and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170 is divided by 166.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1115766567?\nAnswer: 3, 89, 491, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -6168 to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -10*q + 4424. Let i = q + -850. Let b be (-2 - 16\/(-6))\/((-11)\/i). What is the highest common divisor of b and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 34000*z**5 + 143433*z**2?\nAnswer: 2040000*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 203 and 2961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n + 2 - 4*n**2 + 1 - 7. Let y(a) = -3*a**2 - a - 5. Let i(o) = 2*k(o) - 3*y(o). Let u be i(0). Let j(h) = -h**2 + 7*h - 6. What is j(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, 2\/9, 0.01, -1, 4, -209, 7\/4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 247 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 + -23. Is 6708\/s - (-5)\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(2 + sqrt(153) + 0).\nAnswer: -18*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 62086192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 15*z = -5*z + 7*z. Factor 0*d**2 - 4\/11*d**3 + 0 + z*d - 18\/11*d**5 - 2*d**4.\nAnswer: -2*d**3*(d + 1)*(9*d + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 112948735 is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert 44 (base 9) to base 2.\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.12 times -120\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (60\/90)\/((-3)\/((-81)\/(-6)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*r = -6*r - 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in -2\/5, 14, -43, 3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 891639 is divided by 889?\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 6:05 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the third derivative of -1\/4*s**4 + 0*s + 5\/6*s**3 + 1\/120*s**6 + 26*s**2 + 0 + 3\/20*s**5. What is the units digit of t(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1055 divided by 201962.\nAnswer: -1055\/201962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((9\/(-2))\/(-3))\/((-873)\/(-2910)). Suppose -16 = 4*y, 4*y + 29 = -d*h + 108. Calculate the remainder when 531 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -142, 1, -73 in descending order.\nAnswer: 1, -73, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -84 + 100. Let n(y) = -y - 26 - y + p. Let u = -20 - -13. Give n(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 94.86426um to meters.\nAnswer: 0.00009486426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3922058 is divided by 784403.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = -6*c - 37. Let f(o) = -9*o**3 - 6*o**2 + 6*o - 6. Let v(n) = 17*n**3 + 11*n**2 - 11*n + 11. Give c*f(q) - 6*v(q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*i**5 + 442*i**4 + 86*i**3 - 1342*i**2 - 1214*i - 220 = 0 for i.\nAnswer: -55, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -137 - -241. Let c = -60 + r. What is the units digit of -1*3\/((-6)\/c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q**3 - 3*q**2 - 6*q + 1. Let v be d(8). Let s = 1064 - v. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 72883818 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 3081499 to the power of 1\/2, to the nearest integer?\nAnswer: 1755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g - 5867 = -6*a, -3*a = 13*g - 11*g - 2929. Round a to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1466234205 to the nearest integer?\nAnswer: 1136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3\/1099 + -40675\/4396. Let y be (-1 - (-33)\/51)*415. Let z = y - -26608\/187. Find the common denominator of p and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 6*d + 34*d**3 - 7*d**2 + 21*d**3 - 56*d**3 - 1. Suppose -4*o + 5*w - 7 = 0, -w + 0*w = -5*o - 35. Calculate the remainder when a(o) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/32 and 37\/104.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u + 12 + 13. Suppose 121 + 9 = u*q. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 223*s**2 - 1694*s - 39310. Calculate o(-216).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 6*j - 3. Let d(i) = i**2 - 13*i + 5. Determine 2*d(h) + 5*z(h).\nAnswer: 2*h**2 + 4*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k + 5*u - 605, k = 5*u + 68 + 47. Suppose -3*l - 462 - k = 0. Let f = -99 - l. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -460662\/5 less than or equal to -92132?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14334 + 32896. Suppose 10970 = 3*n - i. Round n to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 8 + 8 + (-4 - 2) - 4. Let v(u) = -15*u**3 + 85*u**2. Let b(o) = -o**3 + 6*o**2. Give t*v(d) - 85*b(d).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 359 greater than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 25 (base 6) to base 15\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 36 and 11?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -20*l + 102. Let q be g(5). Suppose -4*s + 56 = -q*s + 4*p, p = -2*s + 65. What is the highest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 644 = -93*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 419 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o*o**(-6\/13))\/o)\/o*o)\/o*o**12)**42 assuming o is positive.\nAnswer: o**(5754\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 143 - 11.7?\nAnswer: 131.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.48, 2, -2\/7.\nAnswer: -2\/7, 0.48, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 5, -2\/11, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3.27 or -0.22643?\nAnswer: -3.27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 186, 1455, 4910, 11643, 22746, 39311, 62430?\nAnswer: 93195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.006 - 26.994. Let z = p + 26.6. Let r = 140 - 137. Which is the closest to -11?  (a) z  (b) r  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 24*y - 2. Let c(f) be the second derivative of 143*f**3\/6 - 13*f**2\/2 + 19*f + 19. Determine 4*c(r) - 26*l(r).\nAnswer: -52*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(3\/5)*f**(-3)\/f)\/(f*f*f**(-5)*f\/((f*f**3)\/f)*f*f) assuming f is positive.\nAnswer: f**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1729, 1841, 2147, 2743, 3725, 5189, 7231?\n\"Answer: 16*t**3 + t**2 - 3*t + 1715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1873?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 287293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1685017643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 36024954?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4584259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -1 - (29 - 30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 238*g - 231*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i + 4*i + 228 = 0. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 4, 0.1, 2, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 - 4)*(-8 + (2 - 5)). Let a(t) = t**2 + 23*t + 37. Let b be a(y). Suppose -6*x = -b*x + 1242. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/1102 and -95\/232.\nAnswer: 4408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -96589, -193179, -289769, -386359, -482949?\nAnswer: -579539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 1 + (6 - 5 + 1)*(-1 + 0 + 3))*(-5*z**2 + 3*z**2 + 5*z**2).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + (5 - (-6)\/(-3)). Suppose -2*c + i*c - 2360 = 0. Suppose -3*r + s + c = 0, -3*r + 2*r = 3*s - 410. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.6655769 and -1.6.\nAnswer: -1.06492304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -31*d**5 - 2*d**2 + 189*d wrt d.\nAnswer: -1860*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 62127541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let c = 36.9 + -37. What is the nearest to c in 2\/15, -4, -0.4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0 and -69.1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(78) - sqrt(78)*-1)\/sqrt(3))\/(sqrt(6)\/((sqrt(27) + sqrt(27)*1)\/sqrt(9)))*-2.\nAnswer: -48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-13 - (-80)\/6)*1848129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -2*m - 0*m. Let p be (-3 - m)\/((-2)\/16). Suppose 3*s + 4*h + 75 = 314, 0 = 4*h - p. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-3089)\/(-3) + (100\/(-30))\/(-10). Let v = u - 538. Does 12 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/54 and (-38)\/(-285)*240\/57?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r - 47 + 167. Suppose -25 = -5*i - x, -5*i - 5 = 3*x - r. Suppose 0 = f - i*f - y + 28, 3*f - 4*y = 40. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 6 - 0. Suppose -3*o + 37 = a, c*o - 4*a - 25 = -2*a. Suppose 0 = -5*y - 2*h + 15, o = 3*y + 5*h + 2. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3327301137 - 1.913.\nAnswer: -1.5802698863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8150 rounded to the nearest one hundred?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 542 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.932 rounded to 2 decimal places?\nAnswer: 0.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 5*w**2 - 2*w + 4. Let l be (-152)\/(-40) + (-4)\/(-20). Suppose -2*n = -3*v + 2*n - 4, -l*n + 20 = v. Let q(h) = 4*h**2 - h + 4. Give v*q(r) - 3*d(r).\nAnswer: r**2 + 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -16*v**2 - 4*v + 10. What is f(-4)?\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51792?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -64 - -322\/5. Is -1 at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 816, 840, 890, 972, 1092, 1256?\nAnswer: 1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ofvoewfx. What is prob of sequence fe?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - m - 355177*m**3.\nAnswer: -355177*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence abw when three letters picked without replacement from {w: 1, a: 2, b: 1, s: 9, d: 6}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1694 - 1?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 - 6*a**2 + 3*a - 6. Calculate x(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12\/185 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 473 is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-4))**(-3\/35))**(-2\/91) assuming h is positive.\nAnswer: h**(-24\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -26\/63 + 382\/315. Which is the third biggest value?  (a) -1\/5  (b) j  (c) -13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a. Let r(c) = 16*c. Determine -r(k) + 20*w(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**2 - 819 + 819.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -542340720 rounded to the nearest one million?\nAnswer: -542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of 5\/2*l**2 - 1\/120*l**6 + 1\/12*l**4 - 5*l - 2\/3*l**3 + 1\/12*l**5 + 0. Let x(c) be the first derivative of r(c). What is x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6\/(-6) + 179 - (0 - -3)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.149 and 2.\nAnswer: 0.298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3478 - -28?\nAnswer: -3450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 26, -3, -2, 142, -381, 3 in decreasing order.\nAnswer: 142, 26, 3, -2, -3, -381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 4*z = z + 489, -204 = -2*o - 4*z. Suppose -9*h - 93 = -10*h. Let m = o - h. Solve -3*u - 15 = 0, -4*x - 8 = m*u + 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 - 2*z**2 - z - 13. Give d(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**2 - 3*g + 45. Calculate t(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Are -2012 and -26163\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -181 - -285. Suppose -g + z = 3*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 - 7*l - 2. Let k be h(-6). Let b = k + -2. Let c(n) = -n**b + n - n. Let i(q) = q**2. Give c(i(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, t: 1, g: 2}. What is prob of picking 1 c and 1 t?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve u + 8 = -13*b + 14*b, -4*u + 2*b - 26 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 8*x + 2. Let w(a) = 3*a + 1. What is 5*d(o) - 14*w(o)?\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fourty-eight fifths of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -4 - (-12 - (-1 - 2)). Calculate the greatest common factor of t and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-2)\/(-6)*-1)\/(-1))\/((-192)\/1728)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*i**2*n - 588*i**2 + 375*i*n - 8197620*n wrt i.\nAnswer: -10*i*n - 1176*i + 375*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a microgram in nanograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 5*s = 0. Let a be (20\/(-35))\/((-2)\/7). Suppose s = -3*l + a*l + 7. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*i + 93*i - 84*i - 438 = 0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 3*q - 8. Suppose -q*f = -0*l - l - 238, -f + 2*l + 56 = 0. Suppose -20 = -5*z, 7*n - 2*n + 5*z = f. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 15\/(-6)*(-6)\/5. Suppose 3*l + 2*f = 3 + 12, 4*l - a = 3*f. Find the third derivative of g**3 + l*g**3 - 5*g**3 - g**2 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j + 6 = 9*j. Put 2, -2, j in increasing order.\nAnswer: -2, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3250 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = z + 3. Let k be n(-5). Let r = 201 + k. Let s = 369 - r. Is 17 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -6*k**2 + 223*k + 992. Calculate c(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, t: 2, d: 4, s: 5, c: 1, h: 1}. What is prob of sequence tc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in -3, 5, 48?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 2*q + 94 = 0, -326*q + 329*q - 24 = 0. Suppose 16 = 4*p - f, 4*p - 3*p - 4*f + 11 = 0. Calculate the remainder when l is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 + 13*x**2 - 12*x + 3. Let o be g(12). Suppose -5*c - o*a = -6, -3*c - 2*a + 6 = c. Solve 4*z + c*q - 2*q = 2, 5*z + 6 = 3*q for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6750 + 6756. Suppose -2*s + 53 = 5*w - 39, w + 4*s - 22 = 0. What is the remainder when w is divided by m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = j**3 - 2*j**2 + 3*j - 4. Let f be x(2). Find the third derivative of -20*m**3 + 288*m**f - 322*m**2 - 32*m**3 wrt m.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 5, h: 1, e: 1, p: 2, d: 9}. What is prob of picking 2 d and 1 a?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(140) - 1*(-2*sqrt(140) - sqrt(140)))\/(sqrt(1008)\/sqrt(9)))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3485, 3087, 2689, 2291, 1893?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12400.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/11060 and -93\/70?\nAnswer: 11060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -170*f**2. Let s(v) = 6622518*v. Calculate w(s(p)).\nAnswer: -7455816592255080*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5.8 - -8.8. Which is the closest to 1?  (a) -3  (b) 6  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -88 - -104. Let v(a) = 26*a**2 + g*a**2 - 44*a**2. Let n(q) = q + 16. Give v(n(x)).\nAnswer: -2*x**2 - 64*x - 512","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g*g*g**(-3)))\/(g**(-2\/11)\/g)*(g**(-1))**(-33))\/(g\/(g\/(g\/g**(2\/7)))*g**(-4))**(3\/32) assuming g is positive.\nAnswer: g**(89911\/2464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.80265 rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in -5, -14, 0, 17, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of 0 - 3*i + 32\/39*i**3 - 16\/13*i**2 - 4\/13*i**4 - 1\/195*i**6 + 4\/65*i**5. Find b, given that y(b) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23 = -4*d - 5*m, d - 5*m + 3 = 16. Let r = 12 - 21. Let z = d - r. What is the greatest common factor of 7 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 PM and 2:56 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**3 - 12*n**2 - 23*n + 23. What is q(-9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 13371102067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -11 - f - 27*f**2 + 28*f**2 + 11. Let m(i) = i - 3. Let r be m(5). Let s(g) = g**3 - 3*g**2 + 3*g. Calculate r*s(n) + 7*z(n).\nAnswer: 2*n**3 + n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28 - 3 + 1)*(-2 + 2 + 5)*(p**3 - p**2 - p**2 - 3*p**3).\nAnswer: -260*p**3 - 260*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 12 and 8627232?\nAnswer: 8627232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 11302.7 to the nearest 100.\nAnswer: 11300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -35405 and 0.2?\nAnswer: -7081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -57, -54, -47, -36, -21, -2?\n\"Answer: 2*u**2 - 3*u - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2008455 - 176?\nAnswer: -2008631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 488887.62 rounded to the nearest one thousand?\nAnswer: 489000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the third derivative of -5*a**4\/12 - 4*a**3\/3 - 4*a**2. Calculate the remainder when c(-3) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 58786 and 10875410?\nAnswer: 10875410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 71\/345 + -2\/345. Let h(a) be the first derivative of -4 - p*a**5 + 0*a + a**3 + 0*a**2 + 0*a**4. Find the third derivative of h(g) wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7350968\/7 or 1050139?\nAnswer: 1050139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 82900506 a multiple of 172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = o - 3. Let b be k(3). Suppose b = -t - t + 152. Does 12 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -t**3\/5 + 63892*t**2\/5 - 204377465*t + 8561327250 = 0.\nAnswer: 42, 31925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/3 or -690\/26369?\nAnswer: -690\/26369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 1656742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15\/2*u + 10*u**2 - 10*u**4 - 5\/2*u**5 + 0 - 5*u**3 = 0. What is u?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -376804610.99999955 - -376804628. Let t = 17 - d. Round t to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2. Let w(n) be the first derivative of -6*n**2 + 2*n + 47. Give r(w(i)).\nAnswer: -144*i**2 + 48*i - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.258 - -5.742. Let w = u + -6.5. Sort -4\/3, -8\/5, w, 0 in decreasing order.\nAnswer: 0, w, -4\/3, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:08 PM and 3:56 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 357966 and 57?\nAnswer: 6801354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -92\/183 + 1\/366. Let r = -88 + 56. Let u = 31.6 + r. What is the biggest value in b, 2\/3, -1\/4, u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n and 2 j when four letters picked without replacement from {j: 4, n: 2, w: 4, m: 9}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -9152 divided by -64?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 26*h**2 - 1. Give s(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 6*r**2 - 10*r - 17. Let m be z(-7). Suppose 0 = -j - 5, -5*j + j = -m*u + 64. Solve -5*o + 3*f = u, 7*f = o + 2*f - 11 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pppc when four letters picked without replacement from {p: 3, c: 13}.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -125857*i**2*q**5 - 13*i**2 + 2*q**5 + 3106*q**2 wrt q.\nAnswer: -7551420*i**2*q**2 + 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -2. Let u = 69 - 41. Suppose 0 = 6*p + p - u. What is the remainder when l is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4460 - -6153. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -393331*b**3 - 162*b**2 - 7873*b - 343 wrt b.\nAnswer: -2359986*b - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/58537 or 1?\nAnswer: -2\/58537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from {f: 2, k: 1, i: 2, j: 1, a: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1453937958.\nAnswer: 2, 3, 11, 877, 2791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22, 15, 6, -5, -18?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/42)\/(69\/1449))\/((-7)\/(-4)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 271900794 divided by 11.\nAnswer: 24718254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**3 - s**4 + s**3)*(2 + 6 - 4) + (-s + s + s)*(-2*s**3 + 4*s - 4*s) + 3*s**4 + 2*s**4 - 6*s**4.\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-10)\/(1 - 0 - 3). Suppose 7 = 5*u + h, 7 + 10 = u - m*h. Suppose 0 = -4*s - 4*f + 5*f + 75, 0 = -u*s - 2*f + 40. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106 = p - 74. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, k: 8, l: 3, n: 2, d: 5}. Give prob of sequence gdk.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 - -4. Let i = 24630\/29 + -172468\/203. What is the biggest value in -4, -1\/26, p, i?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = s, 5*s - 30 = -5*q - 0. Suppose -2*k = 4*l + 9 - 23, -20 = -s*k + 5*l. Solve 11 = -k*n - 9 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of k**4\/18 - 35*k**3\/9 + 32*k**2 - 27*k - 14. Factor l(o).\nAnswer: 2*(o - 32)*(o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/5 in 4, 0.04, -19, -5, -12.3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - (4 - -4)) + 8\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 202116?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20961 - 58251 = -6*n. Suppose 10*x + 1525 = n. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/24 and -95\/172.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -100324342?\nAnswer: 100324402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + 225\/(-375)*160\/6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o = -2*w + 11, -5*o = -83*w + 79*w + 31 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03018311 rounded to five decimal places?\nAnswer: 0.03018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of l**8\/48 + l**5\/15 + 7*l**2\/2 + 7*l. Let o(v) be the first derivative of d(v). What is the third derivative of o(y) wrt y?\nAnswer: 420*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 274897211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3238495451 to the nearest integer?\nAnswer: 56908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by -5.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -4*k + 15. Let d(x) = -6897*x. Determine y(d(v)).\nAnswer: 27588*v + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2369 is divided by 108.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b + 6. What is the remainder when 52 is divided by n(12)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17387 is divided by 1736.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21 + 25. Suppose -341 = -m*d - 17. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31 = 14*z - 12*z + 3*w, 16 = -115*z + w + 489 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 PM and 5:04 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from scscxucxfsccuuff. Give prob of sequence uus.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 535894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that 2*w**4\/3 + 2044*w**3\/3 + 24520*w**2 + 660548*w\/3 + 589030\/3 = 0.\nAnswer: -985, -23, -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 135 + 212?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 94 = r + 2*z, 0 = 4*r - 2*z - 334. What is the remainder when 148 is divided by (r\/10)\/(3 - (-10)\/(-4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -3 - (-2 - (3 + -3)) - 0. Suppose 81 + 18 = -d. Let q be 4\/18 + 31\/d. Is q less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -55 + 325*v**2 + 199 + 173*v**2 - 100*v**3 + 322*v**2 - 29*v + 733*v.\nAnswer: -4*(v - 9)*(5*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5413278*d**3 - 142931 wrt d?\nAnswer: -16239834*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 413 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3935*m - 2 + 1041*m - 3190*m - 2441*m to the form i + z*m and give z.\nAnswer: -8525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 2*c**2 + 31*c - 14. Let a be i(-16). Let t(n) be the second derivative of 0 + 4*n**2 - a*n**3 + 1\/3*n**4 + 3*n. Factor t(z).\nAnswer: 4*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - a - 23, -442*a + 18 = 4*b - 437*a. Solve b*i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + -9. Let h = c - -18. Let b = -113 - -204. Calculate the highest common divisor of h and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 + 7*w - 6. Let z be (-3)\/(-4)*4 + 0. Let r be z - ((-20)\/4 + 2). Determine p(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.270025217 - -4.63762573. Let w = -14.632403187 - s. Let z = w - -15. Round z to 6 decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 60 and 121332.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 11 = 5. Let w(s) = -19*s**2 + 6*s. Let u(q) = -56*q**2 + 16*q. Let i(g) = x*u(g) + 8*w(g). Let a(d) = -2*d**2. Calculate a(i(m)).\nAnswer: -512*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((48\/(-9))\/4)\/(651\/(-63) + 3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*o + o - 2*o)*(1 - 1 + o)*(29*o**2 - 10*o**2 + 25*o**2) as j + i*o**4 + n*o**2 + p*o + l*o**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 38 a factor of 797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33 + 163 + 14 = 12*v. Solve -z + 5*l + v = 7, 2 = z - 2*l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 126 and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.087, -0.3, -40?\nAnswer: -0.087","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -20*r + 73. Let t be l(3). Suppose -5*b - 2*u - 2 = 0, 2*b + 17*u - t*u = -4. Suppose b - 6\/7*q**2 + 2\/7*q**3 + 4\/7*q = 0. Calculate q.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*c - 49*c + 3*b = -282, -5*b - 4 = -2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 7118271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve o - 5 = -v, -2*o - o = -4*v - 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 146 and 106507?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 18\/(-3)*1\/(-2). Let q = 1023 + -1020. Suppose -q*t - 6 = 0, -3*t - 82 = -f*u + 359. Is 10 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3\/379, -0.18, 15, 2 in descending order.\nAnswer: 15, 2, 3\/379, -0.18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 313 + 304044?\nAnswer: 304401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1209 from -16.\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 172486 (base 9) in base 13?\nAnswer: 39822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 930 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 208*p + 3583. Determine l(-18).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 AM and 12:47 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yioem. What is prob of picking 1 i, 1 m, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 1461540?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 + 15*n - 96. Calculate the lowest common multiple of 2626 and g(5).\nAnswer: 5252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -375.920657 to one dp.\nAnswer: -375.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*u**2 + 9*u**2 + 14*u - 73*u + 3*u**2 - 7*u in the form v*u + d + f*u**2 and give v.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*y**2 - 44*y**2 - 12 - 15 + 27 + 17*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -4*6\/6 - -236?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40.3 - 768.\nAnswer: -808.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 + -3)\/1 - -2. Let u(o) = 554*o**2 - 8*o - 17. Is u(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -3*f**2 + 43*f - 14. Let s be o(14). Suppose -y - 3 + 2 = s. Calculate the least common multiple of 11 and (21 + -3)*1*y\/(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -28, 0, -4, -5, -35 in ascending order.\nAnswer: -35, -28, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 615 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4529 - -0.270816201.\nAnswer: -4528.729183799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/3015 and -157\/6030?\nAnswer: 6030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/(-1) + -4 + 8. Let r = 5 - 4. Let l = r - x. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 104*z**2 - 152*z**2 - 4979 - 7*z**4 + 20*z**4 - 230*z**2 with respect to z.\nAnswer: 52*z**3 - 556*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 9 = 2*f + 4*i, 0 = -4*f + 3*i + 20 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2))**(-3\/23) assuming j is positive.\nAnswer: j**(6\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-42))\/(63\/630*(-40)\/18).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 3, r: 2, f: 1, j: 1, w: 5, h: 3}. What is prob of picking 3 g?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/12858 and 21\/3848828.\nAnswer: 11546484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 0*z = -4*z - 56, -3*a + 89 = -5*z. Suppose -2*l = -3*l + 20. What is the remainder when a is divided by l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 448 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of x**4\/3 + x**3\/6 - x**2\/2 - 6*x + 6. Let u(f) be the first derivative of g(f). What is u(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three fifths of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5 + -1 + 3)\/(9\/(-21)). Suppose 0 = -0*r + s*r - 63. What is the lowest common multiple of 7 and r?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 16 and 1355?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1099687 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 361792935 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1343161\/5949 + 2032\/9. Is n at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -141 + 137. What is the second smallest value in -0.5, 0.5, 0.4, c?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -2659019.\nAnswer: -2\/2659019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 49\/21164 and -61\/2574.\nAnswer: 190476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24492596 is divided by 83.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d - d - 5*d - 8*d.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -41304 less than or equal to -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1141 or -1142?\nAnswer: -1142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in -2, 6, -0.01, 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 3*b - 5 + 12*b)*(-2 + 2 - 2*b) to the form w + y*b + l*b**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 316 and 192207.\nAnswer: 768828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 0.4  (b) 1  (c) -3  (d) -114  (e) 1027\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -31 less than or equal to 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + 13*w + 16. Let g be h(14). Suppose -2*m + 8 = 5*i, 14 = 3*i + 3*m + 2. Suppose i = 4*y - g*y - 24. Solve 5*d = -y - 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/6)\/(14\/(-20)). Suppose -5*f - 7 = 4*r, 0*r = -2*r + 2*f + 10. What is the second smallest value in r, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x = -5*a - 1, -2*a + 2*x = -a + 5. Let s be 65\/20*-1 + a. What is the smallest value in -1, 3, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.2  (b) 0.05  (c) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 8*c**2 - c - 2. Let h(u) = 9*u**2 - u - 1. Let z(g) = 6*h(g) - 7*y(g). Let q be z(4). Calculate the remainder when 59 is divided by (25\/q)\/(1\/(-12)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 + 3*i + 3. Let n be g(-3). Let l be 3*7\/21*-1. Put l, -3, n, 5 in decreasing order.\nAnswer: 5, n, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33122 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 467414, 934920, 1402426?\nAnswer: 1869932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/10)\/(26\/(-377) + (-204)\/(-435))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of -b**4\/6 - b**3\/6 + b**2 - 7*b. Let t be j(5). Round t to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001085001968 rounded to 5 dps?\nAnswer: 0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3914 - 4481 = -27*s for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 85?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -154 = 3*p - 157. Let h be 4\/(-6) - 1\/3. Which is the closest to 0.1?  (a) 0.1  (b) p  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 92*a**4\/3 - 15368*a**3\/3 + 584960*a**2\/3 + 1616344*a - 70644 = 0.\nAnswer: -7, 1\/23, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**3 + k**2 + 7. Calculate i(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 142 minutes after 8:49 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -11*q - 42. Let a be p(-4). Suppose r = -4, -w + a*w - 291 = -4*r. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:30 AM and 8:12 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10957871?\nAnswer: 10957871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 8 = 2*q, 0 = -2*q - 0*q - 2*i + 4. Let z = 3 - q. Suppose 2*m + 2 = r, z*r - 3*m - 4 + 1 = 0. Solve -k + r*k + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (27*3)\/(8 - (-7 - -14)) is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -237 - -239. What is the derivative of -2*b + o*b + 44 + 4*b - 6*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 56223 divided by 3.\nAnswer: 18741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -288048861 + 5?\nAnswer: -288048855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q**4 + 80*q**3 + 230*q**2 - 720*q + 405 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 15954 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -3757, -15307, -34651, -61795, -96745, -139507, -190087, -248491?\n\"Answer: -v**3 - 3891*v**2 + 130*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9079 at least as big as 9080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*w**3\/5 + 776*w**2\/5 + 10036*w + 216320.\nAnswer: 4*(w + 64)*(w + 65)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n + 5*n - 6*n)*(2 - 8 - 5) + 4 - 13*n - 2 + 23*n + 1 - 1 + 2*n.\nAnswer: 67*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - (1 + (-10 - -15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = 5*r - 9. What is w(-4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-15)*(-24)\/(-48). Let x = -2.81458 + -0.18542. Which is the closest to x?  (a) -3  (b) y  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1073 + 280. Suppose -o = 2*h - 66, -o = -3*h - 7 + 106. What is the greatest common factor of r and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 64*c**2 - 55*c**2 - 131*c**2 + (-c - 2*c + 2*c)*(-1 + 1 + c).\nAnswer: -123*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1095469475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -397\/235 + 70\/47. Let o = -8.7 - 25.2. Let l = 34 + o. Which is greater: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2389?\nAnswer: 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + -2*(sqrt(833)*4 - sqrt(833)))**2.\nAnswer: 84*sqrt(17) + 29989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 7, 16, 21, 22, 19, 12?\n\"Answer: -2*q**2 + 15*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101010111001101000101 - -101?\nAnswer: 101010111001101001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i + 21. What is j(0)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) be the third derivative of c**7\/210 - c**5\/12 + 7*c**2. Find the third derivative of y(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*4\/3*54. Let d be ((-34)\/(-64))\/(2\/b). Let k = 19 - d. Is k >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nin when three letters picked without replacement from niininnini.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -167 - 28. Let r = a - -101. What is the greatest common factor of r and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - f2?\nAnswer: -ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 40020675?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 0, -21, -84, -213, -432, -765?\n\"Answer: -4*i**3 + 3*i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x + 1. Suppose -w + 2 = -0*w. Suppose 3*b + 5*h + 5 = -8, -b = w*h + 5. Suppose 3*q - 31 + 1 = 0. Let t(i) = -12*i + 10. Calculate b*t(m) + q*g(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-6\/17))**(-37)*(c\/(c\/c**2))**18 assuming c is positive.\nAnswer: c**(834\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 2*n + 3. Suppose -q - 2*t - 16 = -3*q, 3*q - 54 = -n*t. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 439894904 less than -95195?\nAnswer: -439990099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30 + -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4 - -8. Let s be 348\/15 + 2\/(-10). Suppose -j*i + s = -13. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a kilometer in meters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0, -0.5, 0.047, -14?\nAnswer: 0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 3*i**2. Let x(f) = 463*f. Give l(x(s)).\nAnswer: 643107*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 - -4. Suppose 2*x - p = 7*x + 4*g, 11 = x - 3*g. Solve 3*a + 1 = -x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2636 is divided by 37?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from gqgqqfqxf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 150962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:35 PM and 8:38 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -80021 (base 16) in base 2?\nAnswer: -10000000000000100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + 5*h - 2. Suppose -l - 2*l = 15. Let t be x(l). Let s(b) = -1 + b**2 + 3 - 3*b**2. Determine s(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -10. Suppose m + c = 2*m. Suppose -2*l = m*l - 96. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -21c + -1137?\nAnswer: -1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 760020 and 4028.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5523641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 78803 - (0\/1)\/(-33 + 18 - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 167 + 51 + 3*a + 7 - 236*a**2 + 253 + 1706*a**2 wrt a?\nAnswer: 2940*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -c**6 - 17940*c**3 - 39599*c**2.\nAnswer: -120*c**3 - 107640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y**2 - 4*y - 1. Let t be n(-1). Let l(o) = -o + 8. Let z be l(t). Solve 17 = 5*b - z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)\/(-2*sqrt(726)))**2*-1.\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 203 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4 + 13*x**3 + 124*x**2 + 308*x + 240.\nAnswer: -(x - 20)*(x + 2)**2*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -b**2 + b + 1. Let n = 9 - 11. Let v(l) = -20*l**2 + 22*l + 24. Let q(t) = n*v(t) + 44*j(t). What is the derivative of q(w) wrt w?\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1071, -2275, -3479, -4683?\nAnswer: -5887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of -p**8\/112 + 3*p**7\/70 - 3*p**6\/40 + p**5\/20 - 2*p**2. Find i such that j(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((5*((sqrt(130)*2 - sqrt(130)) + sqrt(130)))\/(sqrt(90)\/(3*sqrt(9))))**2.\nAnswer: -70200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*d**5 + 295*d**4 + 22*d**3 + 2*d + 220573?\nAnswer: 120*d**3 + 3540*d**2 + 132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -18913\/2 in -35\/11, 0.4, 0.02?\nAnswer: -35\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12887, -12888, -12889, -12890?\nAnswer: -12891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 338647\/15 + -22589. Let u = -40\/3 - j. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -24 - -35. Let f = -7 + h. Solve 4*y = f + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0029028 to 4 decimal places.\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 28\/20 + (-7380)\/75. Let s be ((-6)\/(-4))\/(a\/(-97)). Suppose 15\/8*d**2 + 3\/8*d**3 + s + 3*d = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (3 - 0 - -7) + (-23)\/9522*4146\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**3 - 2*z**2 - 12*z + 17. Let p be w(4). Suppose p = -5*b + 4*d, 6*b - 4*d = 2*b - 4. Solve 0 = -4*v - b*r - 8, v - 13 = 2*v - 2*r for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2103110101303 + 3?\nAnswer: -2103110101300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 257130 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u - 80 = -15*u. Calculate the remainder when (-119)\/(-4) - (-2)\/8 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -669 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in fifty-seven sevenths of a week?\nAnswer: 1368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 322 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-16)\/30)\/(20\/(-15)). Factor -2\/5*q**2 + 2\/5 + 2\/5*q**3 - r*q.\nAnswer: 2*(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 747 divided by -3?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -599*v = -36278 + 9922 for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -378 + 390. Solve 11*y - 8*y - v = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 819*h + 181*h - 21814 = 430*h - 1108*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28 - -33. Let c be (-2)\/4 - (-27)\/6. Which is smaller: c or i?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**3 + 5*k**2 - 11*k + 23. Calculate b(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + (-1 - 4\/(-4)). What is the closest to -0.1 in -4, p, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*m**3 - 4 + 4)*(26 - 156 - 40) in the form s + u*m**3 + y*m**2 + h*m and give u.\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/(-7) + (-24)\/(-63). Let q = 1.2713 - 1.3713. Which is the nearest to q?  (a) 2\/13  (b) 2  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4d0c (base 16) in base 6?\nAnswer: 231152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = -t**2 + 6*t + 0*t**2 + 3 - 19*t. Suppose -3*i - 26 = 13. Let v be u(i). Solve 3*m = -k, 0*k = v*m - 5*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/3, 4331, -3, 8, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.59 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 4*w + 39. Let s be i(9). Suppose f = -26 + s. Suppose 1056 = 5*q - f. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5203113 (base 8) to base 5.\nAnswer: -323042432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:18 AM and 1:22 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 68\/8451 and 137\/36?\nAnswer: 33804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = w**3 + 30*w**2 + 8*w + 11. Let k(c) = -2*c**3 - 68*c**2 - 16*c - 23. Let g(v) = 9*i(v) + 4*k(v). Determine g(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -91928 = 4*o + 5*q, -2*o + 114943 = -7*o + 2*q. Let t = 58787 + o. Round t to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87060 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 37 - 35.76. Let d = y + -0.24. What is the third smallest value in 4, d, 3\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z**2 - 1. Let i be g(0). Let r = 6 + -11. Let w = i - r. Solve -4*n + 3*a = -14, -2*a = 3*n - 15 - w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 4, 3, 0.07, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v**2 - 15*v + 55. Calculate the remainder when 77 is divided by i(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -646855 + 294.\nAnswer: -646561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1179749549 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(1\/27)*l)\/l**(1\/3) assuming l is positive.\nAnswer: l**(44\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5066 + -3354. List the prime factors of z.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39)\/(-26)*(1*30)\/((-10)\/((-300)\/945))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 8*v. Let b(y) = 8*y + 1. Determine 2*b(k) - 3*p(k).\nAnswer: -8*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2\/3 - 62*j\/3 + 368\/3.\nAnswer: 2*(j - 23)*(j - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of (-8 - (-2 - -1))\/((-3)\/84) and 7.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v = 4*v. Let d(m) = 5 + m + m**2 + 0 - 1 - 6. Determine d(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(192) - (sqrt(9)\/sqrt(3) + 0).\nAnswer: -1 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of 23.429 and 677.\nAnswer: 15861.433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, a: 7}. Give prob of picking 1 a and 1 o.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) be the second derivative of -37*i**4\/12 + 153*i. Let v(f) = -f. Determine r(v(t)).\nAnswer: -37*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7259206?\nAnswer: 2, 929, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 3*n + 5. Let z = -69 + 65. Determine x(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -13 + (0 - -9) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 + 9. Let r(b) = -b + 9. Let y be r(9). Let f be i(y). Calculate the highest common divisor of 18 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 283*r - 279*r - 20 = 0. Suppose -3*h = -5*g + 813, -r*g + 3*h = 5*h - 808. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2010  (b) 0.1  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 394372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**2 - 1. Let h = 304 + -303. Let u(z) be the third derivative of z**6\/120 + z**5\/20 + z**3\/6 - 2*z**2 + 15*z. Calculate h*u(m) - 2*c(m).\nAnswer: m**3 + m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 115*o. Let c(a) = -357020*a**2. Determine c(u(r)).\nAnswer: -4721589500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 206, 423, 650, 893, 1158, 1451, 1778, 2145?\n\"Answer: t**3 - t**2 + 213*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 9130147 + 1?\nAnswer: 9130148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-1)\/12)\/((-6)\/(-8)). Let s = 500355764\/1178815113 + -2\/6237117. Let b = -1\/243 - s. Sort z, b, -0.4.\nAnswer: b, -0.4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0*i = -o - 24, -2*o = 5*i + 59. Let u be 0 + -1 + 0 - i. Suppose 2*d + g = u + 2, 4*g = -d + 20. Solve -v = -3*m + 9 + 3, v - d*m = -15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(119) - -3*sqrt(119)*6) + sqrt(119))\/(sqrt(7) - sqrt(56)\/(sqrt(128) - sqrt(8) - sqrt(8))).\nAnswer: 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10561 - 10580. Let f = 7.258 + 0.042. Let j = -7 + f. What is the closest to q in 0, 0.5, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2687334382?\nAnswer: 2, 61, 163, 337, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(6)\/sqrt(2)*-2)**2.\nAnswer: 16*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + 2*v = 0. Suppose -y + v*y + 641 = 2*f, -3*y = -2*f - 1939. Suppose -y = -q - 2*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.86 + -0.57. Let w = 4355658 - 4355658.28999953. Let s = w + t. What is s rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 18 + -9. Let q = 2.1 + -1.1. Which is smaller: q or v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 3*k**3 + 30*k**2 + 1. Let j be w(-10). Which is the nearest to j?  (a) 5\/4  (b) -0.1  (c) 9  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 428 = -k + 342 + 402 - 1063, k + 3*p = -73 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 4 + 0)*(-y + 4*y + 2*y)*((-y**3 + 0*y**3 - y**3)*(-3*y + 4*y - 2*y) + y - y**4 - y + 11*y**4 + 30091*y**3 - 30091*y**3).\nAnswer: -60*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**1*n)\/(n*n\/(n\/((n**4\/n)\/n)))*n\/(n**5*n*n)*n*n**(-4)*(n\/n**(-1\/2)*n)\/n**(-2)*(n*n**(-1))**(-28) assuming n is positive.\nAnswer: n**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -4*z - z + 8 - 11. Let t(c) = -2*c**2. What is w(t(d))?\nAnswer: 10*d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(3\/2)*l*l**(-1\/4))**29)**48 assuming l is positive.\nAnswer: l**3132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*k + 3*k + 9*k)*(51*k**3 - 8 - 40*k**3 + 9 - k) as t*k**4 + p*k**2 + v*k**3 + z + n*k and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 5*g. Let c = -151 - -162. Suppose h - c*h = -60. Determine m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -69 - -181. Let d = u + -59. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -42361 + 71821. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19200 is divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 70 and 1195565?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 6272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 22*t + 406. Does 16 divide f(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 377500 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*t - 24 = 11*t. Suppose -4*i + 2664 = -t*k, -3*i + 2*k = -3*k - 1996. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1))**(-9)*(t*t\/t**(-6))\/(t\/t**(-1\/9)))\/(((t*t\/t**8)\/(t**(-2\/17)\/t))\/((t\/t**(-1\/7))\/(t\/t**(-2\/21)*t))) assuming t is positive.\nAnswer: t**(21226\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**2 - 4*q - 3. Let x be p(3). Suppose 0*k + 96 = x*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (2\/(-6))\/(29\/(-82911)) a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 119.09862 + -119.46. Round v to 2 decimal places.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21 = 2*k + n, 2*k - 7 - 8 = n. Suppose -4*m + k + 3 = 0. Suppose m*c - 4*x - 97 = 0, -3*c + 139 = 2*c - x. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.1 or 389333?\nAnswer: 389333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3688 is divided by 613?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -237*g + 473*g - 238*g = -2*a - 12, 3*a = -14*g - 35 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1139941.\nAnswer: 11, 9421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from {p: 1, i: 3, a: 1, x: 1, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5094 + 0.4.\nAnswer: -5093.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - 7 - (-10 - 28 - -16).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -539181*s**2 - s - 13761826.\nAnswer: -1078362*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f + 5. Let w(r) = 25*r + 20. What is -6*h(b) + w(b)?\nAnswer: 19*b - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -7?  (a) -5  (b) -0.5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1503649753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (0 - 2)*152\/(-4). Suppose -b = -4*l + 1248. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.4 + 0. Let n = -50.91 + 47.91. Which is the second biggest value?  (a) 8\/9  (b) -2  (c) x  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by -46325.\nAnswer: -1\/46325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/11  (b) 4\/1631  (c) -2556\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 42.7, -20, 2\/17 in descending order.\nAnswer: 42.7, 2\/17, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 8, n: 3, h: 2, j: 7}. Give prob of picking 2 h and 2 n.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*q + 6*q + q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 11548 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25\/9968 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2*(-15)\/(-12)*(-2)\/(-4)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14254 + 14254 - 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -6880 or -6885?\nAnswer: -6880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -35 - -22. Let t = -17 - l. Let s = 6.1 + -6.2. What is the nearest to -0.4 in t, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.612 + 703.388. Let x = 422 - f. Let t = x + 279.91. Round t to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((8\/(-10))\/4)\/1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6436?\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.532602071 to three decimal places.\nAnswer: 1.533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**2 + 3*g + 2. Let w be u(-1). Suppose -24*o + 4*o + 128160 = w. Suppose 2*m = -3*h + 9716, 3*h - 13030 = -4*m + o. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1354765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5288.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 420\/49*196\/(-56)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 464 = -17*a - 12, a + 16 = -3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4 + 3)*1294\/(-86) - (-8578)\/(-184427)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((q\/q**0)\/q)\/q)\/(q**6\/q*q)*(q**(-2\/5)\/q)**(-41))\/(q**(-3)*q\/(q\/(q*q**0*q))*q*(q*q*q**(1\/4))**(-4)) assuming q is positive.\nAnswer: q**(297\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 1, g: 4, y: 2, s: 3}. What is prob of sequence sygy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = n**3 + 4*n**2 + 3*n. Let g be a(-2). Suppose -g*l = l. Let i = 10 + -6. Solve l = i*c - 0*o + 2*o + 2, 0 = -4*c - 4*o - 4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 802727.7 nanograms?\nAnswer: 0.0008027277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24534527 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**3 + 6*c**2 + 13*c - 17. Let n be o(8). Calculate the common denominator of (4 + -4 - -65)\/(1 - n) and 151\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -11*w**4 - 2*w. Suppose -3*d - 2*u = -10, -12 = -2*d - 3*u - 2. Let i(b) = 33*b**4 + 7*b - 1. Let t(f) = d*i(f) + 7*z(f). Differentiate t(k) wrt k.\nAnswer: -44*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -2*y - 7. Let x be s(-6). Let p(b) = -4 + 4 + x - 1 - b. Is p(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -2, -43, -4, -451, -5.\nAnswer: -451, -43, -5, -4, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -20, -21, -34, -65, -120, -205, -326?\n\"Answer: -u**3 + 6*u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -13*r**2 - 68*r - 70. Give u(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-71*r + 33*r + 35*r + 81*r**2)*(4*r - 10*r - 14*r).\nAnswer: -1620*r**3 + 60*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 6*g - 6 + 4 + g**2 - 7. Let w be v(-7). What is the second smallest value in w, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*a**3 - 51*a**3 - 52*a**3.\nAnswer: -87*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**2 + 4*x. Let b be f(3). Solve -12 = -2*s + r, -3*s = -6*s - b*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l + 4*l + b - 99, 0 = -4*l - 2*b + 402. List the prime factors of l.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -3*x**4 + x**3 + 4*x - 7. Let i(t) = t**4 - 2*t + 3. Let q(d) = 5*i(d) + 2*y(d). Factor q(r).\nAnswer: -(r - 1)**3*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -7. Let o be 16\/32 - (-39)\/2. Put o, 4, q in descending order.\nAnswer: o, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -25\/42 and -131\/522.\nAnswer: 3654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 6 + 0*u - u)*((-14*u + 18*u - 17*u)*(0*u + 0*u - 4*u) + (4*u - 4*u - u)*(-6*u + u - 3*u)) in the form q*u**2 + k + v*u + a*u**3 and give q.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 103 + -94. Suppose -36 = -i*x - 3*x. Let g be 5 - x - ((-14)\/(-4) + -1). Are -1 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-2)\/4 - -1)*6. Suppose 4*a + 21 = x*z - 0*a, -4*z + 15 = -a. Solve -3 = z*d - 9, -3*d + 2 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11532 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -7*r**3 + 10*r**2 - 8*r - 8. Let z(p) = 20*p**3 - 29*p**2 + 23*p + 23. Let h(o) = 17*t(o) + 6*z(o). Let q(k) = -k + 28. Let m be q(25). Give h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 832 - 829. Let k(v) = -v**3 - 2*v**2 - 3*v - 2. Let g be k(-2). Solve -s*a = -a - g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -5*l + 24 + 5, -h - 27 = -5*l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 167 a factor of 29119654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1244, -2492, -3742, -4994, -6248, -7504?\nAnswer: -8762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1695445 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5345*t**3*x**3 + 17*t**3*x - t*x - x**4 + 1265*x wrt x.\nAnswer: -32070*t**3*x - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) - 2*sqrt(320) - -2*1*sqrt(20))\/((sqrt(12) - -2*sqrt(12)*6)\/((sqrt(66)\/sqrt(2))\/sqrt(11))).\nAnswer: -5*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e, 1 l, and 1 q when three letters picked without replacement from lqlleqqqqqlqqqlqqq?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*p**2\/5 - 54188*p\/5 + 1247382\/5 = 0. Calculate p.\nAnswer: -27117, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 238 + -233 - ((-52)\/(-9) + -1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 337521395.\nAnswer: 5, 113, 597383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 a, 1 f, and 1 t when four letters picked without replacement from mtgftaammftfgrfr.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 664*i**3 - 529 wrt i.\nAnswer: 1992*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 23.26, 0, -4\/5, -5.78?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 453178\/249 + -1820. Let o = 265\/1992 + j. Let q = 0.4 - 3.4. What is the third biggest value in o, -1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.5  (b) -30\/11  (c) 4\/7  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 59872?\nAnswer: 2, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 + 335 = 5*y. Suppose 3*t + 2*t = y. Let a = 247 - 167. What is the highest common factor of t and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 13712682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -2 + (-11 - (0 + 3)) - -1\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42142*z**2 + 23711*z**2 + 47827*z**2 - 27269*z**2.\nAnswer: 86411*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = y**2. Let v(s) = -2*s**2 - 83*s - 1. Determine v(b(u)).\nAnswer: -2*u**4 - 83*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45055 to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ix when two letters picked without replacement from iijzx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the second derivative of q**7\/280 - q**6\/24 - 8*q**4\/3 + q. Let i(g) be the third derivative of o(g). What is the second derivative of i(t) wrt t?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 2*l**3 - 10*l**2 + 445*l - 18. Give b(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -16*q**2 - 38. Let w(x) = 2*x**2 - 3746. Determine w(u(a)).\nAnswer: 512*a**4 + 2432*a**2 - 858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 3*d**2 - 8*d - 3. Let a be b(3). Let s be a*(-5)\/(-25)*(-2)\/4. Solve s = 5*t - 13 + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-96)\/(-20) + (-42)\/(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.07, 175, 9.88, 5\/2 in descending order.\nAnswer: 175, 9.88, 5\/2, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 2237355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -39222*-390.7\nAnswer: 15324035.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 3 - 2 - 1 + 1445253*d.\nAnswer: 1445253*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 70739 < 70748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-one eighths of a day?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 8*s - 67. Let m be g(15). Let q = 48 - m. Sort 27, -1, q in descending order.\nAnswer: 27, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 rounded to the nearest 10?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1234815*r**5 - 60324*r**2 wrt r?\nAnswer: -74088900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*w + 65*w = -1562 - 1192. Which is smaller: -37 or w?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101 is divided by 47?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*l + 44*l**3 + 8*l + 2*l**2 - 13*l**3 - l**4 as x*l**4 + d*l**2 + z + y*l**3 + c*l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, d: 11, y: 1}. Give prob of sequence dq.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -31, -0.5, 4\/11, 13, -11\/2, 1\/5, -2\/7?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*t + 24 = 40*t. Determine m so that 34*m**3 - 44*m**4 - 40*m + 4*m**5 - 16 + 65*m**4 - t*m**2 + m**4 = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(2448)*1 - (sqrt(2448) + -5*-2*sqrt(2448)))*4*5*4.\nAnswer: -9600*sqrt(17) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**3 - a**2 - 2*a + 2. Let k be r(2). Let w(j) = -3*j**k - 3*j**2 - 22*j**2. Let x(t) = 3488539522*t + t**2 - 3488539522*t. Give w(x(n)).\nAnswer: -28*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i**5 + 524*i**4\/3 + 824*i**3\/3 - 688*i**2\/3 - 224*i = 0 for i.\nAnswer: -42, -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 59984 and 5868.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -88*s + 135*s = 67*s + 200 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z\/z**(-1\/15)*z\/z**(1\/6)*z*(z\/z**13)\/z*z\/(z\/(z**(-9)*z)) assuming z is positive.\nAnswer: z**(-181\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 199*o**3 + 287*o**3 - 665*o**3 + 189*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -1985168*o**2 - 3*o = 0. What is o?\nAnswer: -3\/1985168, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 126 * 17\nAnswer: 2142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 1.95. Which is the closest to x?  (a) -5  (b) 0.1  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-198))\/(14\/252)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 + 7*h - 8. Let q be l(6). Let p be q\/3 + 14\/3. Differentiate -2 - 2*u**3 + p - 3 wrt u.\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200610700 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 5 + (31 - 33)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 38475 and 2445.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1446 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 14*p**2 - 775*p - 22460. Determine g(-21).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -406527 divided by 33.\nAnswer: -12319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from ckeskkskscbb?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 30 + 6 + -13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 21*x**2 - 5*x**3 + 6*x**3 + 4 in the form j + v*x + u*x**2 + q*x**3 and give u.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28 and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in five quarters of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 1:52 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 578\/5 - 851\/10. Let b(a) = -a**3 + 20*a**2 + 3*a - 30. Let i be b(20). Let c = i - y. Put -1, 1\/6, c in decreasing order.\nAnswer: 1\/6, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-12)\/(-18) - (-35)\/15. Suppose -5*f = n*b - 62599, 3*f + 34039 = 2*b - 7681. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -86.9 + 86.90971. What is l rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 - 1. Let v(f) be the second derivative of -3*f - 7\/20*f**5 - 3\/2*f**2 + 1\/12*f**4 + 4 + 0*f**3. Calculate -3*q(o) + v(o).\nAnswer: -4*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (11\/33)\/((-15)\/(-150)). Let p(g) be the second derivative of -7*g - 25\/2*g**2 - y*g**3 + 0 + 5\/12*g**4. What is z in p(z) = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes after 8:59 PM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/((-27)\/(-3)))\/((-5)\/45)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 4 + h + 4*h + 0 - 6. What is m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is two ninths of a day in seconds?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 22004040 (base 5) in base 13?\nAnswer: 67771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.06 + 21.03978.\nAnswer: 21.09978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.035696996 * 3.\nAnswer: -0.107090988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 3424 (base 10) to base 14\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 0*c = -4*j - 16, -3*j = -3. Let g = -18 + c. Suppose -g*o - 4 = -24. Calculate the remainder when o is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the third derivative of b**6\/360 - b**5\/60 + b**4\/24 + 5*b**2. Let p(m) be the second derivative of a(m). What is p(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (12 - (12 - -12))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (126\/(-90))\/(406\/(-5220))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4653.7 - 4654. Which is the smallest value?  (a) i  (b) -4\/39  (c) 1  (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2930 - -1373. Let o = -2744 + c. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 3:50 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3288704834 to the nearest integer?\nAnswer: 1487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of c**4\/14 - c**2\/7 - 3362. Factor i(w).\nAnswer: 2*w*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -137 + 3075?\nAnswer: 2837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 h, and 1 w when three letters picked without replacement from wrfchhc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 46 - 46. Let v(d) = -4*d**3 - d**2 - d + 1. Let l be v(1). Sort g, l, 3\/2.\nAnswer: l, g, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 28*m**5 - 3316*m**4 - 19628*m**3 + 35204*m**2 + 1600*m - 13888 = 0.\nAnswer: -7, -4\/7, 1, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 557*f - 22688 + 22688 in the form j*f + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -24*s**3 + 25*s**2 - 80*s + 16. Is 48 a factor of y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 2493*i - 67338. Calculate q(27).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the first derivative of -1\/14*h**4 + 0*h**3 + 3\/7*h**2 - 4\/7*h + 4. What is y in q(y) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of 0 - 1\/6*p**4 + p**3 + 6*p - 2*p**2. Factor t(c).\nAnswer: -2*(c - 2)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 96 or 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1731411 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: b\"What is the lth term of -139, -433, -929, -1633, -2551, -3689, -5053, -6649?\n\"Answer: -l**3 - 95*l**2 - 2*l - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:20 AM and 4:38 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 5:29 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-9 - (-115)\/15)\/((-4)\/6). Suppose 9649 = 5*a + 3*v, -s*a + 1923 = -a + 4*v. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + -2. Let y be 4\/8 + b\/2. Let s(c) = -10*c - 27. Let d be s(-3). Solve -p = -y*p - d for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 95, 4, 0, 2, 12, -3 in descending order.\nAnswer: 95, 12, 4, 2, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -0*k - 4*c - 21, 2*c = 2*k - 18. Let p = -36.35 + 36.45. What is the second biggest value in -4, -2\/29, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 855794 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4508035um in meters?\nAnswer: 0.0000004508035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6 + 2 + 0)\/2. Sort -3, -5, -1, o in descending order.\nAnswer: -1, o, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 22\/27 + -13\/27. Let n*w**2 + 0 + w = 0. What is w?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 14, t: 4}.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from znzkbnzobnnnzcnon. Give prob of sequence knbn.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2 + 9*w + 8. Let v be p(-9). What is the common denominator of 3\/6 + v\/(-20) and -69*95\/(-300) + 2\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17707 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-one halves of a gram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 160380 a multiple of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -11 + 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.44 + -17.44. What is the second smallest value in v, -0.2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -7703 = -7704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**2 - 5*l + 1. Let x be t(5). Suppose -5 + x = -4*z. Let c(v) be the third derivative of v**6\/8 - v**5\/60 + v**3\/6 - 7*v**2 - 5*v. What is c(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 129858692 and 1696?\nAnswer: 1038869536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*c + 23*c - 9*f + 25 = -3*f - 11*f, 5 = -5*f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 6, v: 2, o: 4}. What is prob of picking 2 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 76561?\nAnswer: 76561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c, 1 m, and 1 w when three letters picked without replacement from {o: 5, x: 2, s: 1, w: 2, m: 6, c: 1}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 32\/(-400) - (-652510)\/125. Calculate the highest common divisor of a and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2500762 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o + 20, -136 - 340 = -5*c - o. What is the remainder when c is divided by 89?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*h + 2*h - 4*h)*(-h + 4*h - 5*h)*(-41 - 25 + 51).\nAnswer: 30*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 10:08 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -122*n + 242*n - 119*n + n**3 - 2*n**3 - 7*n**3.\nAnswer: -8*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118*c + 118*c = -96*c - 180*c + 13524 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.14462 - -0.65538. What is the closest to m in -3\/5, -4, -3, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1640212ml in litres?\nAnswer: 0.0001640212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand 463*f - 252 + 455*f - 921*f - 2*f - 2 + 2 + (3 - 2 + 1)*(-2*f - 3 + 3).\nAnswer: -9*f - 252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 2*i**2 + 4*i - 5. Let k be y(1). Solve -12*s = -11*s - k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 625 + -621. Sort -5, -1, 0.4, 2, h in increasing order.\nAnswer: -5, -1, 0.4, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -h**4\/12 + 7*h**3\/2 + 45*h**2\/2 + 6*h. Let t be 38\/(-8)*(-4)\/1. What is the units digit of c(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000799 to six decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16818 - -16817.502. What is the nearest to 0 in -1, 0.1, 3, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, -23, 4, 1\/7, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 451, 3423, 6399, 9379, 12363, 15351?\n\"Answer: 2*t**2 + 2966*t - 2517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.5 + 3. Let p = 2 - 1.96. Let t = 0.26 + p. Which is the nearest to 1?  (a) y  (b) t  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 + 1 - 3)*(-187*z - 324*z + 23*z)*(5 - 3 + 6) to the form d*z + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(28) - sqrt(252)*-2 - sqrt(28))**2 + -3).\nAnswer: 6030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 3 + 4*t - 5*t - 3 - 3. Let p be k(-5). Suppose 1969 = p*s - 1791. Round s to the nearest 100.\nAnswer: 1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101270 is divided by 50187?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -95149, -190180, -284971, -379402, -473353?\nAnswer: -566704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 178 - 116. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -r - 30. Calculate the greatest common divisor of 15 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 16407.55kg?\nAnswer: 16407550000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -2*n**2 - 68905*n\/4 - 8613\/4 = 0.\nAnswer: -8613, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 11:09 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-12794)\/(-12) - (-40)\/48?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 12*l = -17*l - 10, 3 = -3*x - 4*l. Put 770, 4, x in descending order.\nAnswer: 770, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3509082, -3509081, -3509080, -3509079, -3509078?\nAnswer: -3509077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.62 + -87.38. Let g = o - -62. Let d = g - -26.99967. What is d rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of -155*h**4\/6 + 14*h**3\/3 + 32*h**2. Let a be i(3). What are the prime factors of 6\/4*a\/(-12)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-1 + -3 + -3 + sqrt(1700) + 3 + 5)*-5 + -5)**2.\nAnswer: 42500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -26 and 0.08695?\nAnswer: -2.2607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 - 6*b - 4. Let o be q(5). Let l be 6\/o*9\/6. Which is smaller: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i - 3*o + 25 = 0, -3*o + o + 54 = 3*i. Let s be (-8 + 2)*(-10)\/(-6). Let n = i + s. Let q(c) = c**2 - 7*c + 7. Calculate q(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -1233*w**2 - 303*w. Let k(t) = -3075 - 19*t + 3075 - 77*t**2. Let y(r) = -2*i(r) + 33*k(r). Find the second derivative of y(q) wrt q.\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -32\/3*q**2 + 0*q - 4*q**3 + 2\/3*q**4 + 0.\nAnswer: 2*q**2*(q - 8)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 119611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l + 5*p + 30 = 0, 7*l - 3*l + 23 = -3*p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -118*z - 94. Calculate t(-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 19\/3283 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-6)*-4 + 10\/(-6). Let b(r) = r**3 - 2*r**2 + 3*r. Let f be b(2). Let k(j) = -4 + f*j + 3 - 3*j - j**3. What is k(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = 0*d + 5*d - 3*d - 6*d. Is 13 a factor of b(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 107382 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 (base 14) in base 6?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 329.9897 + 0.0103. Let k = -278.3 + m. What is k rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84177559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c, 1 l, and 1 h when four letters picked without replacement from ihkeechlc.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -5547*h**3 + 6428*h**3 - 6455*h**3 + (-2*h**2 + 2*h**2 - 3*h**2)*(-h + 0 + 0) as x*h**2 + k*h**3 + z + d*h and give k.\nAnswer: -5571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 + 12*k**2 - 19*k - 77. Let h be d(-13). Let v be 1\/(-2)*2\/(-3). Which is smaller: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-15)\/2*42\/9. Let g = -6639 + 6689. Let u = g + l. What is the greatest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u**2\/8 - 3423*u\/4 - 151902 = 0 for u.\nAnswer: -2088, -194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1867 is divided by 596.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) 0.092  (b) 0.057  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4261, 16645, 37145, 65761, 102493?\nAnswer: 147341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2305 at least as big as -2147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -64*k + 1409. Let g be p(22). Suppose 3*q + 3*z - 9 = -2*q, -2*q = -4*z - 14. Let u be -1*4\/((-4)\/q). Solve g = 2*a - u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/7  (b) 8893.3  (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -2*k**2 + 24*k - 25. Let r be y(11). Let o = 2804 + -1796. Let f be (1\/(-2))\/(2*r\/o). What is the highest common divisor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -127*i + 128*i - 217, 0 = 7*i + 3*h - 1798. Calculate the remainder when i is divided by 90.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 25 - -155153?\nAnswer: 155178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -9, -178, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4010 - 614*b**3 + 1135 + 3560*b**3 - 2311 - 3981 wrt b?\nAnswer: 8838*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**2 + 1. Let f(w) = -w**2 + 6. Let i(t) = -f(t) + 6*h(t). Let y(v) = -246*v + 498*v - 250*v. Determine i(y(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 + 4*d - 6. Let c be k(8). List the prime factors of (-632)\/(-9) - 20\/c.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -404193 or -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 34\/39 + -483\/52. Let v = 12553 + -5426. Let z = 199597\/28 - v. What is the common denominator of b and z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -532*m**3 + 3*m**2 - m - 6. Let j(k) = 528*k**3 - 2*k**2 + k + 4. Determine 3*j(h) + 2*s(h).\nAnswer: 520*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -4.2.\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 (base 13) in base 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of -k**3\/3 + 2*k**2 - 4*k - 23. Give h(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 88*b**2 - 4*b**2 + 71*b**2 + 165*b**2 + b**2 as l*b + m*b**2 + w and give m.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/11*s + 0 + 6\/11*s**2 + 2\/11*s**3.\nAnswer: 2*s*(s + 1)*(s + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wnnwwnnnwwnwnwwnnw. Give prob of sequence wn.\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -37*v + 8*v**4 - 4 + 3*v**3 - 10*v**4 + 36*v as f + r*v**2 + l*v + z*v**3 + k*v**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4 + -2)*4\/(-104). Let i be (-1)\/54*(6516\/56)\/9. Let a = -2\/189 + i. Sort a, p, -1.\nAnswer: -1, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 127 and 10287?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 9*b**4 + 9809454*b**3 + 199455408*b**2 + 251771346*b + 62125383 = 0.\nAnswer: -1089919, -19, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/(-72)*(120\/42)\/(-5)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 8, 14, 8, -22, -88, -202, -376?\n\"Answer: -2*t**3 + 6*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**3 + w**2 - w - 2. Let i be 0\/(-3 - (-6)\/((-3)\/(-1))). Let u be j(i). What is the tens digit of u\/14*2 + 1598\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -5*x - 9. Sort x, -3, 0 in decreasing order.\nAnswer: 0, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6)\/(-35)*(5626\/(-97))\/(-174)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 44\/2247 and -71\/9.\nAnswer: 6741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(70)*-1 - sqrt(70)) + sqrt(70) - sqrt(70)) + sqrt(70)*2*4 + sqrt(70))\/((sqrt(490)*2 - sqrt(490))*6).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 80, 27, -60, -199, -408, -705?\n\"Answer: -3*u**3 + u**2 - 35*u + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3402335 (base 7) in base 11?\nAnswer: 268369","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -1217980000 to the nearest 1000000.\nAnswer: -1218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -189897 - 1037103. What is x rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15575*b**4 + 96*b**3 - 2171851*b.\nAnswer: -186900*b**2 + 576*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -334429\/91 + 3675. Let r = -2\/39 + l. Put r, 5\/3, -1 in descending order.\nAnswer: 5\/3, r, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 1, -3, 25, -12 in descending order.\nAnswer: 25, 1, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-22722)\/6492*60\/14.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 3888, 7778, 11666, 15552?\n\"Answer: -i**2 + 3893*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -6280004\/9 bigger than -697777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the second derivative of -959*h**4\/6 + 823*h**3\/6 + 926*h. Find the second derivative of p(k) wrt k.\nAnswer: -3836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25 and 3200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rggigrrrrgggrrrrrir. Give prob of picking 3 g.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 44.5  (b) -12\/77  (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vvx when three letters picked without replacement from {x: 3, v: 9, w: 7}?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = 2*m + 15*m. Find the common denominator of (m\/120)\/(24\/2940) and -73\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 94271.\nAnswer: 31, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 59343 and 1812?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ppptppttppptppppptpp. What is prob of picking 2 p and 1 t?\nAnswer: 35\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 3*u = -6*u - 96, -5*u = 2*d + 73. Let s = 69 + d. Let h = -14 + 14. Solve 0 = 4*v - q - 25, h*q = -4*v + 4*q + s for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 11286 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -41*c*h*t + 4*c*h + 2*c*r**2 - 546*c*r*t - 53*c*t - 85*h*r**2*t + 187*h*t wrt r.\nAnswer: 4*c*r - 546*c*t - 170*h*r*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3382465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 8\/25  (b) -2  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41*l**3 - 40*l**2 + 41*l**3 + 2*l**3.\nAnswer: 2*l**3 - 40*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes before 12:14 PM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5499081999 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*j = 14*j - h + 5, j - 2*h = -10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 4*x. Let k(h) = h. Let u(i) = -2*i**2 + 6*i + 4. Let d be u(5). Suppose -32*n = -2*o - 27*n + 6, 4*o - 12 = -n. Determine d*k(p) + o*w(p).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*k = 33*k + 32. Solve -4*m - 4*g - 8 = 0, 4*m - 4*g + k = 24 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of ((-47)\/(423\/(-450)))\/((-4)\/(-358))?\nAnswer: 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1770280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 42*x**2 - 2*x - 11. Let g(z) = 41*z**2 - 3*z - 11. Let b(r) = -4*g(r) + 5*n(r). Is b(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tnnntnntnnnntnntnt. Give prob of sequence nttn.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -165, -363, -639, -993?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -4, 7831, -3, -9, -5 in descending order.\nAnswer: 7831, 2, -3, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0 - 2\/5)\/((-34)\/85). Let m(q) = q**2 - 6*q + 4. Let k be m(5). Sort k, x, 4 in descending order.\nAnswer: 4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -108179*r**3 + r**2 - r - 5910 wrt r?\nAnswer: -649074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 298 divided by 493\nAnswer: 298\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -1*(-2 - -5)*-19. Let a = 60 - m. Solve a*d + 2*h + 3*h - 8 = 0, 4*d = -3*h + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 20. Suppose 20 = d*b - 46. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10.67 - 10.67. Suppose -6*m - 16 = -2*m - 5*l, 0 = -3*m - 5*l + 23. Let k be ((-154)\/165)\/(4\/(-6)). Which is the nearest to v?  (a) m  (b) k  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w**5\/9 + 46*w**4\/9 + 34*w**3\/9 - 214*w**2\/9 + 44*w\/3 = 0.\nAnswer: -22, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u**5 + 8*u**4 + 15*u**3 - 32*u**2 - 12*u = 0.\nAnswer: -2, -1\/3, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3800 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:39 PM and 1:11 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/11 - 144\/(-616).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 140, 635, 1608, 3179, 5468, 8595, 12680, 17843?\nAnswer: 24204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -4*v**3 + 4*v**2 + 5*v + 3. Let c(p) = -2*p**3 + 2*p**2 + 3*p + 2. Let l(g) = 5*c(g) - 3*k(g). Calculate l(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 f when three letters picked without replacement from ggkkfkikfgg?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -100 times -1067925\nAnswer: 106792500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3129 = 10*t + 509. Let m = 4 + -2. Suppose m*s - t = -5*x, 0 = 2*x - s + 58 - 170. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6954574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let u be (6\/4)\/((-3)\/(-32)). Suppose 3*p = 3*k + 2*k + 980, -5*p = -3*k - 588. Let t = 340 + k. Calculate the greatest common factor of t and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**3)**(-4\/3) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 AM and 3:00 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -25183 * -5.\nAnswer: 125915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5*h**2 - 3*h**2 - 11*h**2 - 14*h**2. Let c(q) = 2*q. Give v(c(o)).\nAnswer: -92*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 d when three letters picked without replacement from ddduuuuddd.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -5*d - 120. Let v be a(-29). Let u = 277 - 152. Calculate the highest common divisor of v and u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*p - 18 - 22. Suppose -a - 36 = -p*a. Solve 25 = a*c + c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 30*c**3 - 4*c**2 - 3. Let s be 6 - ((-12 - -7) + 8). What are the prime factors of k(s)?\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -21 + -34560?\nAnswer: -34581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 2 = -2*h, -f + 3 = -0*f. Put -4, h, 0 in ascending order.\nAnswer: -4, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**3 + 22*f**2 - 64*f + 10. Give n(19).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -17*p**2 + 9303*p + 48. Calculate w(0).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -o - 2 - 3. Let s(b) = -2*b**3 - 6*b**2 + 4*b + 7. Is s(o) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 274\/959 + ((-86)\/7 - 0). Let v be c\/(-14) + (-60)\/70. Solve -3*g = -v*k - 3*k, -14 = -4*k - 3*g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40180 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30840.\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/((-7)\/2 - -4). Suppose 0 = h*p - 67 + 35. Suppose p = -4*j + 6*j. Solve -5*v - 2*y - 5 = 0, j*y = 3*v - y + 34 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-34)\/(-51)*3\/8561. Let b = 8211\/2446 + a. Calculate the common denominator of b and (94\/(-3) - -7)\/(2\/3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 PM and 8:56 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -5*h**2. Let z(i) = 2942*i + 31. Determine z(x(v)).\nAnswer: -14710*v**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is j in 2*j**4\/9 + 2882*j**3\/9 - 39928*j**2\/3 - 2746744*j - 68852448 = 0?\nAnswer: -1476, -42, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -80*r + 36974 - 22385 = -930*r - 33011 for r.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 divided by -28106.\nAnswer: 27\/28106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1, 18, 53, 104, 171, 254, 353?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16685509 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-9 - (-2841)\/(-9))*(-3)\/2 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3873820553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 87947732 and 544?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 14, -4, -5, -291 in descending order.\nAnswer: 14, -4, -5, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/(-8))\/((-1)\/(-8)). Suppose -5*z + v = 24. Let g be (4 + z)\/(1*3). Put g, 2, 1 in decreasing order.\nAnswer: 2, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -179318 (base 10) to base 11\nAnswer: -1127a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 times 213086?\nAnswer: -5540236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/(q*q*q*((q\/(q*q*q**(-3)*q))\/q)\/q*q*q)*q*q\/(q**(-1\/3)\/q)*q**(1\/2)\/q*q**3\/q assuming q is positive.\nAnswer: q**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -3.4 * 14299\nAnswer: -48616.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 74cc3 - -68?\nAnswer: 74d3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -0*d - 65. Let i = d + 43. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**2 - 340*j + 335.\nAnswer: 5*(j - 67)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.64 - 234.36. Let d = v + 240. Which is smaller: 0.41 or d?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7389, 7390, 7391, 7392, 7393, 7394?\nAnswer: 7395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51790*d + 6043*d + 3916*d + 4 - 4.\nAnswer: -41831*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 n, and 1 r when three letters picked without replacement from {r: 5, i: 4, n: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 215310 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 4, y: 14}. What is prob of picking 1 n and 2 y?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = r, 3*u + 2*r + 3*r = -25. Suppose u = 36*q - 43*q + 98. Solve -4*m - 2*p + 12 + q = 0, 0 = -p + 3 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65)*-3)\/sqrt(5) + (1*sqrt(78)\/sqrt(6))**2 + (-4*sqrt(52)\/sqrt(2))\/(1*sqrt(200)))*-5.\nAnswer: -65 + 17*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*h - 18941 - 44303 + 12804 = 0. List the prime factors of h.\nAnswer: 2, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -5*z - 114105016, 4*h + 22821016 = 37*z - 38*z. What is z rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that -2*o**4\/11 + 123951516*o**3\/11 - 2560663053116376*o**2\/11 + 17633225966609073868112*o\/11 = 0.\nAnswer: 0, 20658586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -u + 62, 0 = -0*u + 2*u + 2*m - 116. Calculate the remainder when u is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -205 + 38a6c?\nAnswer: 38867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 238 and 239722?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of 13*o**3\/2 - 19*o**2 - 59*o. What are the prime factors of k(15)?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 711 and 45741?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2030 and 12383?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 320 divide 484137558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 + (19 - 35) + 39.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -g**3 + g + 2*g - 2*g + 4*g**2 + 0*g as b*g**3 + o*g**2 + y + l*g and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 303 minutes before 7:07 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + 4 + sqrt(3) + -3.\nAnswer: sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 0*l = 6. Suppose -l*u - 3 = -3*u. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4  (b) -0.4  (c) -2  (d) 4  (e) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232 - 116 - 116 - 394080*a.\nAnswer: -394080*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = -2*f, -2*t - t - 3 = -3*f. Let r(z) be the second derivative of 3*z**5\/5 - z**4\/12 + z**3\/3 + z**2\/2 + 2*z. Is r(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 6*f - 30 = -f, f - 2 = -u. Let j(d) = d**3 - 5*d + 3. Let w be j(3). Suppose m = u*m - w. Put m, 3, 4 in increasing order.\nAnswer: 3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2471685 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*b*g*q**3 - 4*b*q**3*y**2 + 2*b*q**3*y + 2*b*y**2 + 55*g*q**3*y**2 + 2*q wrt g?\nAnswer: 2*b*q**3 + 55*q**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -10 - (5 + -17 + 10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -7116.4278 rounded to the nearest 100?\nAnswer: -7100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 627 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.09 - 0.06. Let v = m + 0.35. Let d = -1.9 + 2. What is the closest to v in d, 2, 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31612\/3*w**2 + 17956\/3*w - 2560\/3 + 147*w**3 = 0 for w.\nAnswer: 2\/7, 640\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 2:33 AM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 553824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {m: 2, s: 4}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 11141492 + -31?\nAnswer: 11141461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 32110.29117 rounded to the nearest integer?\nAnswer: 32110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -668*-6.9\nAnswer: 4609.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 35612 and 11052?\nAnswer: 320508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**2 - 13*v - 5. Let b(z) = -z**2 + 6*z + 2. Calculate 9*b(o) + 4*q(o).\nAnswer: -o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 78054.52 micrograms?\nAnswer: 0.00000007805452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-106 + 106 - (0 + (-6 - -3) + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7793?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12378 - 9818. Calculate the remainder when z is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8\/(-2))\/2*(-44)\/264\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 1 = 11. Factor -4*v**4 - 2 + 5*v**4 + v**5 - 3*v - 4*v**4 + 2*v**n + 2*v**2 + 3.\nAnswer: (v - 1)**4*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 PM and 6:11 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -4992.0607253 and 0?\nAnswer: 4992.0607253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 29, 11, -11, -37, -67, -101?\n\"Answer: -2*q**2 - 12*q + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 1180, 1206, 1254, 1324, 1416?\n\"Answer: 11*g**2 - 7*g + 1176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 t when four letters picked without replacement from tnttttynynntn.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*n - 4*i + 192, 2*i + 355 - 913 = -13*n. Suppose 18*a + 424 = 22*a. What is the remainder when a is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/50 and 123\/20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 32648 and 2716.\nAnswer: 3166856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d - 22 = -n, -16*d - 4*n - 2 = -14*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.10894028 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of a**3 - a**2\/2 - 12*a - 7. Let i be k(-8). Suppose 4*v + 28 = -5*j + i, -v + j = -49. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15 - 384*t**2 + 10 + 7 - 301*t**2.\nAnswer: -685*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 30*b**2 + 2*b. Let k(v) = -44*v - 135. What is c(k(d))?\nAnswer: 58080*d**2 + 356312*d + 546480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 8516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Do -329611 and -329612 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 AM and 7:12 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 281666 and 39676714.\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 1 = -4*o + 17, 6 = o - 2*c. Let d(g) = 45193*g**2 + 53344*g**2 - 12 - 12911*g**o - 2*g + g. Let h be d(4). Round h to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 162620 and 517564?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3499462, -6998914, -10498366, -13997818, -17497270, -20996722?\n\"Answer: -3499452*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((1 - 1 - i)*(-i**3 - 4*i**3 + 2*i**3) + 0*i**4 + 3*i**4 - 2*i**4 + (-i**2 + 1 - 1)*(4 - 4 - i**2))*(-4*i + 5*i - 4*i).\nAnswer: -15*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - y - 161, -b + 252 = y + 97. Let h = -142 + b. Suppose -3*d + 4*c + 116 = 0, -d - 2*c = 2*c - 44. What is the highest common factor of d and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y = 3*q + 12, -22 = 2*y + 5*q - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6, 2\/119, 1, -4, -0.1, -84?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1298*h**3*w**3 - 46*h**3*w**2 + 2*h**3*w - 3*h**3 - 417*h**2*w**3 + 3*h**2*w + 3*w**3 + 79*w**2 wrt w.\nAnswer: -7788*h**3 - 2502*h**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b - 2*n + 504, -4*b + 3*n + 954 = -75. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 26*i**3 + 0 + 0 - 25*i**3.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 (base 9) in base 3?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the second derivative of 1\/20*b**5 - 1\/2*b**2 - 65*b + 0 + 0*b**4 - 1\/3*b**3. Suppose -4*a = 2*v - 9 - 3, -3*a = -v - 14. Calculate t(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 7, h: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 48*r - 47*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*q + h, h = -q + 5*h - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ujm. Give prob of sequence jm.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 204*p**3 + 0*p + 0*p - 3*p**2 - p + 57*p**3.\nAnswer: 261*p**3 - 3*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 7.14 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -412141 + 10?\nAnswer: -412131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.348 times -2228\nAnswer: -775.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13*h*k**2*y**3 + 5*h*k*y**3 + 17*h*k*y + k**2*y**3 + 2*k**2*y wrt k?\nAnswer: 26*h*y**3 + 2*y**3 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (10*o - 109 + 109 + (-1 - 2 + 2)*(-2*o + 2*o + o))*(-182*o**2 - 33*o**2 + 31*o**2) - 2*o**3 + 2 + 1 - 1.\nAnswer: -1658*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -24*t + 7. Let n(d) = 31*d - 1. Let r(h) = 3*g(h) + 21*n(h). Let v(j) = 4*j**2. Give r(v(l)).\nAnswer: 2316*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 39*w**2 + 0 + 0 + 27*w. Let z(u) = 3*u**2 + 2*u. Let g(m) = -2*y(m) + 27*z(m). Let i(t) be the first derivative of -t**3\/3 + 27. Give g(i(s)).\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8110464?\nAnswer: 2, 3, 21121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pprp when four letters picked without replacement from rrmumrpuprp.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z*z**(-29)*z**2*(z**(-8))**(2\/93) assuming z is positive.\nAnswer: z**(-2434\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -251*m**3 - 10*m**2 - 7*m - 4432 wrt m.\nAnswer: -1506*m - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(2\/7))**(-1\/9)\/(v\/v**(-1)*v)**(9\/2))**18 assuming v is positive.\nAnswer: v**(-1705\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 4*i**5 + 428*i**4 + 9720*i**3 - 37208*i**2 - 101884*i - 55380 = 0.\nAnswer: -71, -39, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.1, -5, 3\/4, -0.6, 95010?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 + 6*z + 26. Suppose 12*q + 128 = 28*q. What is the lowest common multiple of o(q) and -2 - 9\/(-1 - 2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -z + 4*l, 0 = -5*z + 4*l - 0*l - 42. Let p = -2.17 - 0.83. Let t = 0.34 - 0.34. Which is the third smallest value?  (a) t  (b) p  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9017432 is divided by 1269.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 2 + (sqrt(68) + (-4*(sqrt(68) + 0 + sqrt(68)) - sqrt(68)))*-6)**2.\nAnswer: -192*sqrt(17) + 156673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + r + 112 = -30, -r = 4*u + 190. Let p be (-9)\/u*-2*-4. Which is the nearest to 0?  (a) p  (b) 3  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 761 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1, -31, -75, -139, -229?\n\"Answer: -a**3 - a**2 - 20*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 - (-36)\/(-15))\/(-1). Let b = 27 + -24. What is the nearest to -3 in 2\/3, b, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 50\/29 - 171\/116. What is the nearest to r in 5, -1\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 447 + -244. What are the prime factors of b?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (-2 - (-7 - (-10 + 2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**2 + 116060*a + 3951820.\nAnswer: -5*(a - 23246)*(a + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from ogzzkkqqqzoookgq.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*h - 4 - 0, 214*c - 17 = 210*c - 5*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n**(-4)*n\/(n\/n**(-6\/7))*n\/(n**5\/n)*n*n**(-3\/10)\/n)**(2\/65) assuming n is positive.\nAnswer: n**(-501\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -3*y + 13. Let k be w(8). Let h(p) = 10*p**3 - 11*p**2 + 14*p + 11. Let s(j) = 2*j**3 - 2*j**2 + 3*j + 2. What is k*s(z) + 2*h(z)?\nAnswer: -2*z**3 - 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 20 = 8*x. Put x, 2, -4, 0 in decreasing order.\nAnswer: x, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 5*s + 27 = -7, -22 = -4*d + 5*s. Let j = d + 2. Calculate the remainder when 18 is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 6*s - 32105 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2 or 20\/28637?\nAnswer: 20\/28637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 59 by -3782066.\nAnswer: -59\/3782066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 10572466 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -4514*d**2 - 18395*d**2 + 2751*d**2 as q + p*d + w*d**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 44 * 218.\nAnswer: 9592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o**(-2)\/o)\/o*o)\/o*o)\/((o*o**(-7)*o)\/o)*(o**(-1)\/o)\/(o\/o**(-1\/6)))\/((o**1\/o*o*o*o)**(7\/10)*((o\/(o**(-2)\/o))\/o)\/o**(-1\/2)) assuming o is positive.\nAnswer: o**(-173\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) + sqrt(180)*-2 - sqrt(2000)*-2)\/((3*(sqrt(110) + sqrt(110)*1))\/(sqrt(44)*-5)).\nAnswer: -25*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -4 and -2126423.\nAnswer: 8505692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, 0.061, -3, -4 in decreasing order.\nAnswer: 0.061, -2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gggguxxxgxg. Give prob of picking 3 g and 1 x.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1095, -2.9, 5, -0.5.\nAnswer: -2.9, -0.5, 5, 1095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2032 and 3200.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-3))\/(1*(4 + (-1544)\/384)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(((w*w*w*w**(-18)*w)\/w)\/w))**(4\/9) assuming w is positive.\nAnswer: w**(68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:13 AM and 3:53 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + -4. Let d be 5\/(-4) + m\/(-12). Put d, 1, -5 in descending order.\nAnswer: 1, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 11*o**3 + 367*o**2 - 1054*o - 355. What is m(-36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in -2\/39, 1, 3?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -143 + 170 + 146 - 2*y to q + j*y and give q.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3\/7 in -16089, 1, -1, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + 0 + (sqrt(425) - (4 + sqrt(425))) + sqrt(425) + 1 + 3 + sqrt(425) + -5)**2.\nAnswer: -60*sqrt(17) + 1709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 37636*r**3 + 38024*r**2 - 65280*r + 18432 = 0?\nAnswer: -2, 48\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -p + h - 8, -468 = -3*p + 4*h - 493 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((5 - 5)\/(-3))\/(5 - 3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -389.3 - -389. Sort -2\/3, 2, b.\nAnswer: -2\/3, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 3*f - 14. What is j(11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*b - 5485 = 17035. List the prime factors of b.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12553215 (base 9) to base 7.\nAnswer: 103332413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from -83314856085.\nAnswer: -83314856085.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 27, 37, 47, 57?\n\"Answer: 10*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3  (b) 87  (c) -1\/3  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 3*y**3 - 6*y**2 - 6*y + 7. Let u(l) = 5*l**2 - 3*l**3 - 397945 + 5*l + 397939 + 0*l. Give -5*j(d) - 6*u(d).\nAnswer: 3*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 294955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 - 9*y - 17. Give w(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 32 and 80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -3 + -1 + 0 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*i + 10 = 3*m - 1, i + 2*m = 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 163.95 - 83. Let j = i + -81. Is 11 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/(-4)*36\/72. What is the nearest to -2\/5 in 0.1, 2\/39, c?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y**2\/5 + 7502*y\/5 + 1500 = 0. Calculate y.\nAnswer: -3750, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 788, 1593, 2354, 3053, 3672, 4193?\nAnswer: 4598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (3\/(-1))\/(4\/(-68)) is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -104 - -157. Suppose 2*m - o = 139. Does 24 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 13*w - 19. List the prime factors of o(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7.3 + 7.16. What is o rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 408519 (base 12) to base 2\nAnswer: 11110110100011100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -163 - -162. Suppose -3*m + 9 = -0. Let s(q) = 2*q + m - 7*q - 2. Determine s(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 60*a**2 - 2*a + 2. Suppose -11*t - 15 = -14*t. Suppose 4*r = -5*n + 9, n = 2*n - t*r + 4. What is the tens digit of b(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*g - 2*g - 4*g - 2*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 120, 2\/9, 1 in decreasing order.\nAnswer: 120, 1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1225)*1)\/(-2*sqrt(605))*6.\nAnswer: -21*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 192 = 10*k + 152 - 250 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 48.58954 centuries in months?\nAnswer: 58307.448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 5*v - 25 = -160, -4*v = 0. Let b = -25 - x. Suppose -b*i - 10 = 0, g + 6 = -i + 86. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-13*w + 10*w**2 - 18*w**2 + 4*w**2 - 1)*(w**2 - 5*w**2 + 2*w**2) to the form y*w**2 + i + x*w + h*w**3 + p*w**4 and give h.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 2 + 16*k**3 - 3*k**3.\nAnswer: 13*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 979.6802 milligrams in grams?\nAnswer: 0.9796802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve j - 4 = -5*h + 16, -3*h + 12 = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1201 by -183149.\nAnswer: -1201\/183149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 10568*m - 14866 wrt m?\nAnswer: 10568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*n + 7*n - 8*n)*(-3 + 3 + 1)*(0 + 2*n + 0 + (3 + 0 - 1)*(4*n - 2*n + 0*n) + 2*n - 4*n + 0*n).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-5)\/(-35) - (8\/(-18) + 143936\/(-4032))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, k: 2, u: 5, h: 2, p: 1}. What is prob of picking 3 u and 1 c?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f + 2. Let d be j(1). Let v be 3\/(-9) + 1\/3. Let m be 2 + -1 + v + -6. Sort -3, d, m in descending order.\nAnswer: d, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/114 and -151\/162?\nAnswer: 3078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0002540992 to 5 decimal places.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -61*o + 59*o + 0 - 20 = -v - 3*v, -6*o - 11*v = -9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 - 4*n - 3. Let k = -17 + 22. Determine i(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*2)*-2)\/(-3*sqrt(8)*2) + 3.\nAnswer: -sqrt(17)\/3 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14 + 10 - 10)*(-5*h**2 + 5*h**2 + h**5) - 4*h**5 + 4*h**5 + 12*h**5.\nAnswer: 26*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5332 + -5331.6. What is the nearest to -2 in -98, 11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 PM and 11:34 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 7828640 + -139?\nAnswer: 7828501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rxrrrxxxxxx. Give prob of sequence rxr.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**3 + 6*c**2 + 6*c + 12. Let u be q(7). Suppose u*a - p = 2*p - 191, -5*p = 2*a + 64. List the prime factors of a\/((-40)\/12 - -3).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21\/638 - -3937\/197142. Is 1 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -13*x**3\/2 + 753257*x**2\/2 + 57943*x.\nAnswer: -x*(x - 57943)*(13*x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -153*w. Let y(o) = -720*o**2 + 2*o + 21. Determine v(y(n)).\nAnswer: 110160*n**2 - 306*n - 3213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1030?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7816449ml to litres.\nAnswer: 0.0007816449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2566*g**3*k**2 + 207570*g**3 - g**2*k**2 + 3*k**2 wrt k.\nAnswer: 5132*g**3*k - 2*g**2*k + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h - 7*c + 2*c + 55, h - 27 = 3*c. Let f be ((-2)\/(-3))\/2*h. Suppose f*y = 9 + 21. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -287 divided by -3?\nAnswer: 287\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 6 = 6. Suppose i*g + 39 = 3*z, 0 = z + 3*g + 4 - 17. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 321 a factor of 650342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 AM and 12:05 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of 10*c**6\/3 + 8*c**2 - 9. What is the second derivative of l(w) wrt w?\nAnswer: 400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**2 - 3*j - 2. Let y be z(4). Suppose y*b + 40 = 2*h, 2*h = h - b + 20. Let p be h\/(-8)*(-6)\/5. Solve -4*s = -p*s - 4*f + 6, -2*s + 8 = 2*f for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46 a factor of 90012386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*t + 0*t - t**2 + (1 + 0 - 3)*(2*t**2 + t**2 + t**2).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17789 <= -9.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 469238, 469241, 469244, 469247, 469250, 469253?\nAnswer: 469256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1971 - 31547\/16. Calculate the common denominator of 27\/8 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a centimeter in millimeters?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2335829 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 160.834818 - 564?\nAnswer: -403.165182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -r + 6*r - 20. Let x(w) = 5676*w - 17026. Let q be x(3). Solve 0 = 4*s - q*s - 5*m + 26, m - r = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uquuhuqf. Give prob of picking 1 u, 1 f, and 2 q.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -95711\/2810 + 270\/281. Let p = 12\/5 - c. What is the common denominator of (8217\/(-264))\/((-30)\/4) and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*z = -21*z + 26845. What are the prime factors of z?\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + -1 - (-8 + 38 + -33).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 - 62\/5*s**3 - 2\/5*s**4 - 90*s - 102*s**2.\nAnswer: -2*s*(s + 1)*(s + 15)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 0.09\nAnswer: 0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -472020, -944038, -1416050, -1888056, -2360056, -2832050, -3304038?\nAnswer: -3776020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 5*a + 27 = 0, -7*z + 5*a - a + 86 = 0. Solve 22*g - z*g + 32 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 116252, 232504, 348756?\n\"Answer: 116252*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175123962.\nAnswer: 2, 3, 13, 733, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 - 8. Let q(r) = -r**3 - r**2 + 2*r + 4. Let c be q(-3). Suppose 0*d - c = t - 4*d, 4*d - 16 = 0. Solve t = -k - 2, -3 = -y*x + k + 2 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 3 + -5 - (7 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2 - -2.3. Let l = z - 0.2. Let x = 45\/26 + -239\/78. Which is the closest to l?  (a) -2  (b) 2  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2316 and 5950962?\nAnswer: 11901924","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -0.103  (b) -25942  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 19*q + 3 + 7*q - 2*q - 2*q - 7*q. Let k(z) = -1 + 4*z - 5*z - 3*z. Give 6*b(u) + 22*k(u).\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x + 6 - 3. Let n be (x + 4 - -3) + -10. Let d be (-28)\/n + 2\/6. Solve -9 = 5*p - 4*g, 21 = -d*p - g + 2*g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - r + 116 = 0, g + 2*g - 3*r + 96 = 0. Let s = g + 48. Calculate the least common multiple of 14 and (-78)\/(-8) - (-5)\/s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1800) - (sqrt(1800) + (sqrt(1800) - (sqrt(1800)*1 - sqrt(1800))) - sqrt(1800)))\/(-2*sqrt(144)) - (-1*1*sqrt(14))\/(2*sqrt(175)).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 4835 = -159. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17456490?\nAnswer: 2, 3, 5, 73, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1973?\nAnswer: 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 459 - 561 = 51*z. Sort -2089, -5, z, 5 in descending order.\nAnswer: 5, z, -5, -2089","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3 = -2*y + 9, 0 = -5*y + 2*r + 2. Let f be (-3)\/(-3) - (-5 + y). Suppose -8*u + 7*u = -f. Solve -2*k + 2*s = -3*s - 9, -u*s = 5*k + 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 5*y - 23, 2*y = -2*b - b. List the prime factors of b\/(10\/333) - 4\/(-10).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -46699 < 0.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00008983 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 34310 rounded to the nearest one hundred?\nAnswer: 34300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 48 (base 14) to base 10\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -61\/76109 and -26\/207031.\nAnswer: 130222499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1\/4))**6)**34*(c\/(c**(-1\/4)*c))**(-4\/3)\/((c**(-7)*c)\/(c*c**(-3))) assuming c is positive.\nAnswer: c**(-142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50 + 343*a**2 + 1 - 85*a**2 - 126*a**2 - 97*a**2 to l*a + g*a**2 + u and give g.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxsxsxxssxxxssssssx. What is prob of sequence xsx?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + z**2)*(13*z - 6*z + 11*z) + z**3 - 2*z**3 + 0*z**3 - 2*z**3 - 13*z + 13*z + (-4*z + z + 2*z)*(0*z + 2*z**2 + 0*z).\nAnswer: 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1254694?\nAnswer: 2, 7, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 2 = -4*y. Let k be y\/(-4)*-1*8. Put k, -1, 5 in ascending order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 124716681 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 91 - 91. Solve s = 2*w + w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 0.02, -0.1 in decreasing order.\nAnswer: 0.02, -0.1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 203214 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 39924 (base 10) to base 11.\nAnswer: 27aa5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 22625 > 22623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 71137 and 472091?\nAnswer: 5193001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Add -200.6549287792991 and 0.1.\nAnswer: -200.5549287792991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = x - 3. Let f be w(7). What is the common denominator of 13\/12 and ((-455)\/(-90))\/1 - f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) be the first derivative of -4*v**2 - 1 - 2\/3*v**3 - 8*v. Suppose p(a) = 0. What is a?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2192967?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -17*g - 86. Calculate the remainder when w(-6) is divided by 13.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 2, o: 4, d: 4, g: 7, y: 1}. What is prob of sequence ydor?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 158069, 308466, 458863?\nAnswer: 609260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 5:05 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1279457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -2*p**3. Let n be u(-1). Suppose -4*v + n*v = -14. Let b be (-2 + 4)\/(1 + v). What is the biggest value in 0.5, b, 1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 32156.\nAnswer: 2, 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -15487\/11 + 1407. Let x = 16633\/7 + -2376. Which is the closest to 1\/3?  (a) z  (b) -0.1  (c) x  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + ((sqrt(125)*1 + sqrt(125))*-1 - (1 + sqrt(125) + -5)))*-4)**2*-6.\nAnswer: -108096 - 2880*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**5\/z)\/z)**(-5\/8))**(-26\/7) assuming z is positive.\nAnswer: z**(195\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ssu when three letters picked without replacement from {s: 6, d: 3, u: 3, t: 5, j: 1, y: 1}?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 133 + -212?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 29800*v**2 + 3*v + 6. Suppose 10*q - 8 = 14*q. Let u be b(q). Suppose -4*g + 0*g = u. Round g to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/8)\/(252\/(-96)). Let g = -1.97 - 0.03. Which is the nearest to i?  (a) 2  (b) g  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22335.\nAnswer: 3, 5, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 28*u + 3323. Let f(d) = 5*d + 554. What is -34*f(y) + 6*z(y)?\nAnswer: -2*y + 1102","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 588 + (-15 - -7) - -5 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k = -23 + 8. Suppose -3*j - 4*a + 35 = 0, 7*j - 3*j + 3*a = 49. What is the remainder when j is divided by k\/(-2)*(1 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4075615 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2. Let c(n) = -5*n**2. Calculate c(s(z)).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-77)\/(-44)*28368\/(-1379).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14181 is divided by 1290.\nAnswer: 1281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-84) - 1236365\/(-2415). What is the greatest common factor of 10 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -670 = -2*b - 94. Suppose -2*r - b = -4*j, 0 = -6*j + 2*j - 2*r + 296. Does 22 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 8) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31 + -31.16. Let w = u - -0.16. Which is the third biggest value?  (a) 0.2  (b) w  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 8 + 5*v**2 - 13*v - 4*v**2 - 2 - 26. Let k be y(13). Let q be 8\/(-5) + 8\/k. Which is the second biggest value?  (a) 0  (b) q  (c) 3  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 3*b**2 - b. Let t be f(1). Suppose -14*n = -5*n - 45. Find the second derivative of 0*w**t + n*w - 2*w + w**2 wrt w.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 257 + 34667?\nAnswer: 35035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**5*g*g*g\/g**6*g**(2\/21)*g**(-1))\/((g**(2\/23)\/g**(-1\/2))\/(g**5*g*(g\/g**(2\/15)*g)\/g)) assuming g is positive.\nAnswer: g**(40451\/4830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 265334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 AM and 5:11 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1040 and 1941360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 93\/878672 or -1?\nAnswer: 93\/878672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*y - 1419 = -1446 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -403, -4, 4 in increasing order.\nAnswer: -403, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -65688, -4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/3*((-585)\/20)\/((-21)\/14). Let q = 13.1 - 13. Which is the closest to 2\/3?  (a) 1  (b) q  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*b + 34322 = -202. Let c = -1886 - b. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.01*2.78897.\nAnswer: -2.8168597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 461090 is divided by 460439.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000662 to six decimal places.\nAnswer: 0.000066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -38\/77 and -82\/423093.\nAnswer: 2961651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - -1. Suppose 0 = -p*r - 2 + 10. Solve -j = j - r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4344.7 + -4342. Sort c, -5, -2\/145 in descending order.\nAnswer: c, -2\/145, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.81 in 1, -7, 2\/5, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 4200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 368\/(-188) - 2 - -4. Let x = 37\/235 + d. What is l in 3\/5*l**2 + x - 3\/5*l - 1\/5*l**3 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 271399478*s**5 - 353598562*s wrt s.\nAnswer: 5427989560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 107\/8600 and 127\/17200.\nAnswer: 17200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -268 divided by 5.\nAnswer: -268\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -v**3 + 6*v**2 + 8*v - 6. Let i be -3*((-39)\/9 - -2). What is the remainder when 1 is divided by c(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tcluluucfcct. Give prob of picking 1 t and 1 u.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -706 <= -705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*w - 42 + 12. Let v be 3\/((-9)\/4)*w. Suppose 250 = -v*y - 2*l, 0*l - 2*l - 190 = 3*y. What is y rounded to the nearest integer?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 108 + -56. Let l = g + 3. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -18929*l*o + 12737*o wrt l.\nAnswer: -18929*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4842, 19364, 43576, 77484, 121094, 174412, 237444?\nAnswer: 310196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1022495 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: Find the second derivative of z - 4*z**2 + 12*z + 14*z**2 + 16*z wrt z.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 8. Let x = -11 + a. Let g(j) = j**3 + 5*j**2 + 5*j. Give g(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25\/(-125) + 92\/30*3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*g**2 + 36*g + 16 = 0. Calculate g.\nAnswer: -4, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from {e: 3, v: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/120*-3)\/(1\/(-558)*31)\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44*m = 179 - 487 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -5*m + 4*m - 7, 4*k = 4*m + 60. Which is smaller: m or -16?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-2)\/8 + 12\/(-16). Let k be 5\/(-10)*(1 + n). Solve k*d + 3 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the second derivative of 9*z**8\/28 + 19*z**4\/12 + 6*z. Find the third derivative of v(b) wrt b.\nAnswer: 2160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 8 = 4*z - 3*i, 5*z + i = 16. Let k(s) = -s**2. Let o(y) be the second derivative of -5*y**4\/12 - y**3\/3 + y. What is z*k(w) - o(w)?\nAnswer: 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8117 by 3.\nAnswer: 8117\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 396 by 198.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {g: 8, a: 5, y: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = 7*x**3 + 24*x**2 - 14*x + 15. Determine p(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3544*w - 104783 = 3537*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 161 from -1275.\nAnswer: -1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13563*m - 60 = -13575*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**4 - 1664*p**3 - 24810*p**2 - 123800*p - 206125 = 0. Calculate p.\nAnswer: -1649, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1230132 + -570391. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/18  (b) 4\/4135  (c) -1.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 353 minutes after 4:10 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(1\/5)*h*h)\/h)\/(h\/(h*h**(-3)))*h\/h**(2\/25)*h\/(h**0\/h*h)*h assuming h is positive.\nAnswer: h**(28\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of -o**6\/12 + 5*o**5\/12 - 5*o**4\/6 + 5*o**3\/6 + 43*o**2\/2 - 16*o. Let r(w) be the first derivative of p(w). Factor r(f).\nAnswer: -5*(f - 1)**2*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -55a598 (base 12) to base 3.\nAnswer: -2120101201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 15, -5, -87, -249, -509, -885?\n\"Answer: -3*c**3 - 13*c**2 + 40*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 119\/35 + 2\/(-5). Suppose r*s = -6*s + 90. Let l be (-10)\/(-20)*(0 + s). Solve 0 = 2*q - 0*q + 2*p - 2, p + 15 = -l*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 92 - -17195a?\nAnswer: 171a30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -7070\/1273, -3 in decreasing order.\nAnswer: -3, -7070\/1273, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 17 - -11) + (-19 + -6 - -4).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 12\/42 - 141\/(-70). Let z = 4\/5 - v. Which is the third smallest value?  (a) z  (b) -0.4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of 7\/24*h**4 + 1\/60*h**5 + 0*h - 1\/6*h**3 + 0 - h**2. Does 12 divide x(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -119*n**2*v**2 + 2*n**2*v - 2*n*v - 5*v**2 wrt v?\nAnswer: -238*n**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(-2) - (-7)\/2. Let v = -4 + p. Solve -2*w = -2, -5*w - 3 = -2*z - v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -100968*d**3*i**3 + 27*d**3*i**2 + 6078*d**3 - 26*d**2 with respect to i.\nAnswer: -302904*d**3*i**2 + 54*d**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 2*b + b + 8 = 0, -2*b + 4 = 0. Solve 0 = -4*q - c + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/22*1056\/(-320))\/(-6*(-1)\/(-2))\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 40 = 5*i, -455*i + 455*i = -q + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 6 = 5*a, -420 + 428 = f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 154297007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176267729.\nAnswer: 11, 16024339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -244*-2\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -138, -171, -224, -303, -414, -563, -756?\n\"Answer: -d**3 - 4*d**2 - 14*d - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = a - 1. Let x be k(1). Suppose -5*d - q + 19 = 0, 5*d - q + 6*q = 35. Let l be -12*(-2 + d\/2). Sort x, l, -1.\nAnswer: -1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - u + 93 = 2*u, -4*y - 3*u = 69. Let o be (-6)\/y - 8\/6. Let v = -7 + 3. Is v at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.025 rounded to one decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 11 - 1025*y + 791*y + 29. Is l(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*v - 228*v - 7 + 21 - 14.\nAnswer: -198*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-3))\/(8\/36*(-162)\/1836)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -163 + 165. Factor 0*x + 1\/3 - 1\/3*x**i.\nAnswer: -(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 6 + -1. Suppose -o + 4*o = 2*u + 10, 0 = -3*u + 2*o - q. Let h(y) be the first derivative of -2*y**4 - y**3\/3 + y**2\/2 - y + 6037. Determine h(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*i - 6*i + 16. Does 2 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -35 - -50. Suppose -5*c = -j - 51 + 8, -c - 3*j = -x. Let a be 3 + c\/(-2 + -1). Put a, -1\/2, 4 in ascending order.\nAnswer: -1\/2, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/3)\/(3904\/432 - 9)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/4 - 18*p**2 + 2833*p\/4 + 3960.\nAnswer: -(p - 32)*(p + 5)*(p + 99)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = m + 3 - 4*m + 0*m. Suppose 5*g = -2*p + 5*p - 34, 4*p + 8 = -4*g. Let j be u(g). Calculate the highest common divisor of j and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 2*k. Suppose 0 = -5*h - 3*z + z, 4*z = -2*h. Suppose 2*p - 4 = -v, 3*v + 17 = 5*p + 2*v. Let c(s) = p*s + s + h*s. What is c(u(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 397.\nAnswer: 4\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -3 + 0 + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 45*o**2 - 486*o - 660. Calculate x(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**2\/10 + 194269*i\/10 + 116565.\nAnswer: -(i - 194275)*(i + 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -120264, -234764, -349266, -463770, -578276?\nAnswer: -692784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 3*j = -59, -5*a - j = -39 - 30. Let v = a + -9. Solve -n + 2 = v for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -40414063*q*r**3 + 2*r**3 - 3932134*r**2 + 1 wrt q?\nAnswer: -40414063*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -192 - -269. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from kkkhhhyykvvkvkkvkkky.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -5*l - 31. Let i be q(13). Let j = i - -87. Which is smaller: -7 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-21103)\/7276 - (-4)\/34) + 10 + -7 and 49\/856.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -360, -2, 3, 2, -4.\nAnswer: -360, -4, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 9828 + -2.53121\nAnswer: 9825.46879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*y + 819 - 1305 - 1597 + 209*y.\nAnswer: 261*y - 2083","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5567*o + 665*o**3 + 2147*o**3 + 100 - 100 wrt o?\nAnswer: 16872*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = 5*s - 1. Let j = -18 + 11. Let u = 10 + j. List the prime factors of d(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 7, o: 4}. What is prob of picking 1 t and 1 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3162229669?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nccnccjnccncjczc. What is prob of sequence ccnj?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((f*f**(2\/3))\/f**(-6))**(1\/67))**(-48))**(-2\/69) assuming f is positive.\nAnswer: f**(32\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 20924242 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -h**2\/8 + h\/8 + 21\/4 = 0.\nAnswer: -6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5\/2  (b) 4  (c) 0.04  (d) -5  (e) -4  (f) 2\/9681\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 2*t**2 - 13*t - 71. Let a be x(-4). Let c = a + -4. What is the highest common factor of c and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s**3 + 0*s**3 - s**3)*(-110 - 71 + 139)*(-1 + 6 + 6 + 3 - 4 + 3 + (-2 - 1 + 1)*(3 - 2 - 3)).\nAnswer: 714*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 35\/2*((-13)\/(-13))\/(-7)*4.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 677943 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -i**4\/8 - 597*i**2. Let j(z) = -z. Let k = -6 + 4. Give k*x(n) + 7*j(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11797 + 2*q**2 + 11797.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -703, 0, -1294, 1\/4?\nAnswer: -703","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.5072 rounded to two dps?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x - 1. Let i be l(8). Suppose -12*m = -5*m - i. Let k be (1 - -8)*(-1)\/(-6). Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -1  (b) -3\/13  (c) 5\/11  (d) -0.2  (e) 7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10309.4 - 10309.2. Let v be 2 - (3\/9 - -1). Which is the nearest to 1\/3?  (a) v  (b) 4\/7  (c) -9  (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 996 = 2*n, -3*n = -5*y - 89 - 1405. Let i = n - 287. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(3 - 4) + 34. Suppose 0 = -4*i + 5*d + 157, 2*i = -2*d + h + 38. Calculate the remainder when i is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - 11 = 4*i - 7*i, 0 = 2*i - 2*w - 14. Suppose -4*b - 4 = 3*d, -b + 2*d + 6 = -i*b. Let m be 4\/(-4) + (-1)\/(b - 3). Is 24 <= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(5\/4))**(-4\/33)\/(t**(2\/5))**(-49) assuming t is positive.\nAnswer: t**(3209\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20641 equal to 20706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 140 - 140.61. What is v rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.1  (b) -229\/2  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-2\/7))**3*o**(-1\/10)*o*o\/(o*o**(-5)*o*o)*o assuming o is positive.\nAnswer: o**(283\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -7.9 - -52.9. Let o = k - 44.9866. What is o rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -0*x - x + 6262, -w = 2*x - 1569. Suppose -2*a - 4*c = -1070, 55*a - 2*c = 52*a + w. Calculate the greatest common factor of 21 and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5 + 14)*1\/5*15. What is the third derivative of -6*p**4 + 0*p**2 + 15*p**4 + 6*p**4 - u*p**2 wrt p?\nAnswer: 360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -2*s + 13. Let q be h(10). Let p be (q + (-133)\/(-35))\/(1\/(-25)). What is the highest common divisor of 20 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z = 5*z + 6. Suppose -2 = -z*g - 5*v - 7, -4*g = -3*v - 29. Let j(b) = -b**3 + 4*b**2 + 6*b + 4. Is j(g) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 228119.733 milliseconds?\nAnswer: 0.0026402746875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 90 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - 4*n - 2*n)*(-2*n + 0*n - 1 + 2) + (-3*n + n + n)*(2*n - 3*n - 2*n) - 3*n**2 - 3*n**2 + 7*n**2.\nAnswer: 10*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/14)\/((-36)\/532224*-88).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -37\/19659 or 1?\nAnswer: -37\/19659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 + 9*q - 4. Let v be z(-10). Suppose -v + 13 = u. What is the remainder when (6\/(-4))\/(9\/(-12)) + 25 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 3\/10 of a kilogram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/3  (b) -1  (c) -5  (d) 4  (e) -572326  (f) -0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.09 + 0.21. Let b = -3.7 - y. Let m = -5 - -2. What is the third smallest value in -5, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 3  (b) -1\/2  (c) -5  (d) -2189  (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1158 by -4.\nAnswer: 579\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 3*z - 144, -1 - 1 = -z. Let n = x - -65. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -eb (base 16) to base 2\nAnswer: -11101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j - 4*g + 24, -1852293*j - 68 = -1852281*j - 4*g for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 AM and 8:21 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 times -162.9433?\nAnswer: -488.8299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppnpppvghphvvg. What is prob of sequence vv?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -101100 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3.2 - -3. Let n be (-100)\/8*210\/(-25). Let k be 2*(-2)\/20 - (-56)\/n. Which is the biggest value?  (a) k  (b) -1  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 5}. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wpppwrrppprrrpp. What is prob of picking 1 r and 2 p?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*u = 16*u + 290. Suppose -157 = -u*d + 133. Are d and -0.4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1063 (base 7) to base 14\nAnswer: 1da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32857?\nAnswer: 11, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + -10011000101010?\nAnswer: -10011000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 3*o = 565, -g - 3*o - 49 - 238 = 0. Let u = g + 320. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -38691 divided by 1.\nAnswer: -38691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -23 and 1585?\nAnswer: -36455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/2666 - (-39)\/(-1209).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-270)\/25 + 3)\/((-1038)\/(-1730))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3514142764?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((((sqrt(2940) + (sqrt(2940)*1 - sqrt(2940)) - sqrt(2940)) + sqrt(2940))*6)\/(sqrt(972)*-1*-2))**2.\nAnswer: 290\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -w - w + 12 = 4*k, -371*w = -6*k - 368*w + 30 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, n: 4, x: 3}. Give prob of sequence nm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 250838 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.05206912 to 5 decimal places.\nAnswer: 0.05207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 3*f = -2032, 29*s - 4086 = 25*s + 5*f. Calculate the remainder when s is divided by 95.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -5*w - 52. Let g = w - -18. What is the greatest common factor of g and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11131523, 11131516, 11131505, 11131490?\nAnswer: 11131471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -9*v**2 - 1 - 7 + 8. Let c(i) = -2*i + 1. Let b(m) = m + 1. Let f(n) = -3*b(n) + c(n). Let k(j) = -1. Let w(h) = f(h) - 2*k(h). Give u(w(g)).\nAnswer: -225*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -116 - -124. Find the first derivative of 29 + 51*p - 12 + 37 - u wrt p.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x, 1 z, and 1 h when four letters picked without replacement from xjzxzxxhjxhzxxxxhzxj?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -368167805*s**2 - 772290*s - 405 = 0.\nAnswer: -9\/8581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*c**2*x**2 + 38*c**2 + 2*c - 73*x**2 + 3*x wrt c?\nAnswer: 4*c*x**2 + 76*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + u)*(-2*u**2 - u**2 + u**2) + 7748*u + 32*u**3 - 7748*u + (-3 + 2 + 0)*(2*u - 2*u + 2*u**3).\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -163*x - 144 = -147*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 AM and 1:52 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 3*k**3 - 35*k**2 - 7*k + 33. Let r(l) = -7*l - 5*l - 35*l**2 + 32 + 2*l**3 + 7*l - 3*l. Let b(j) = 2*r(j) - 3*z(j). Factor b(u).\nAnswer: -5*(u - 7)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-94)\/235*5\/2. Let j be (-11)\/4 - (-2)\/(-8). Let y be 2 - i - (3 + j). Solve 2*k - 4*k = 4*w - 2, -4*w = y*k + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12950941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 400483 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0066086 - -45.653.\nAnswer: 45.6596086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.1316 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5 + 5 + 2*j**5 + (-2*j**4 + 0*j**4 + j**4)*(j - j + j) + j**5 + 2*j**5 - j**5 + (-4*j**4 - 159*j**4 + 0*j**4)*(-4*j + 7*j + j).\nAnswer: -649*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*g**3*p - g**3 - 19319775*g**2 - 2039317*g*p + 35*g + 2 wrt g?\nAnswer: -12*g*p - 6*g - 38639550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*v - 10*v + 10*x + 6, 0 = -3*x - 1 - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 - 8)*(9 + 6*x - 9).\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 3, l: 5, m: 5}. Give prob of sequence xl.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000063094073 to six dps.\nAnswer: 0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 355715401 to the nearest integer?\nAnswer: 18860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -3, -3*s = g + 4*g - 4. Let n be (-1 + 5)\/((-1)\/g). Suppose -6654 + 2050 = -n*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10040 and 740.\nAnswer: 371480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 30 + 80. Suppose 5*g + c - 48 = 3*g, -g + 5*c = -2. Calculate the highest common factor of g and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(3\/5)\/t**(4\/3))**39)**24 assuming t is positive.\nAnswer: t**(-3432\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12)\/24*6\/27?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 4*i**2 - 4*i. Let y be g(-5). Suppose 3*m - 5*j = -0*m + y, -4*j - 47 = -m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 64 and 32?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, k: 1, t: 2, j: 1, z: 2}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2013607, 4027195, 6040783, 8054371?\n\"Answer: 2013588*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0039986 rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(17) + -4*sqrt(34)\/sqrt(2) - (sqrt(17) + (sqrt(17) + sqrt(17) + -2)*-1).\nAnswer: -2*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 44 = -0*q. Suppose 5*z - q = -4*d, -1 = d + 3. Calculate the greatest common factor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, -2, -207, 1, -0.14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 0*h + 17 = 3*n, 3*n - h = 19. Suppose 3*u = n*u + 4704. Let s = u - -14098\/9. Which is greater: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 91\/12024 and -17\/312?\nAnswer: 156312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1241 - 1312. What is the smallest value in n, 0.2, -3\/4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*k - 23*k + 5*k + 5*k in the form i + z*k and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -52\/3051?\nAnswer: -52\/3051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, r: 1, c: 1, k: 1, m: 2}. Give prob of sequence cm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4 and 147.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 2*q + 0)*(-105*q - 60*q + 21*q)*(-4 + 2 + 3) to m + s*q**2 + z*q and give s.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 2*w + 4 - 2*w - 2*w. Let i be 5 + 1 + 7 + -7. Let x(v) = -6*v + 11. Let d(f) = i*x(f) - 17*c(f). What is the derivative of d(g) wrt g?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*a**5 + 828*a**4 + 186595*a**3 - 622*a**2 - 139737*a + 46648 = 0. What is a?\nAnswer: -136, -1, 1\/2, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1\/15))**(-18\/7) assuming p is positive.\nAnswer: p**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 225 - -4244. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 222, 471, 744, 1053, 1410?\n\"Answer: 2*c**3 + 235*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 76 and 93271?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 232362396 rounded to the nearest 100000?\nAnswer: 232400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 576\/23  (b) 308  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -15\/2  (b) 1\/4  (c) -1  (d) 3\/61  (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-5))\/((-1)\/((-95)\/38))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -678365874 or -678365873?\nAnswer: -678365874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 72\/5 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 9 = 3*a, -4*a = 3*w - 16 - 25. Let n = 38 - 14. What is the greatest common divisor of a and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48940.486 rounded to the nearest one thousand?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rrururburbru. Give prob of picking 2 b and 1 u.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -20*g**4 - 27868*g**3 - 9152264*g**2 - 3656448*g = 0.\nAnswer: -864, -529, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*k - n - 1089 + 1068, -4*n + 12 = -12*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*a**2*f**2 - 9*a**2*f + 3*a**2 + 109*a*f - 2*a - 8575*f**5 wrt f?\nAnswer: 14*a**2 - 171500*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1690 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f = -h + 6, 2*f = 487*h - 485*h - 20 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 22 + -17. Suppose -2*l + 2*k + 3851 = -487, -l + f*k + 2177 = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*j - 47838 + 32842 = 49264. Is j <= -1785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -0.4, -11\/6, -2\/95, -0.3 in ascending order.\nAnswer: -11\/6, -0.4, -0.3, -2\/95, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 7:32 AM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 5  (b) 1\/4  (c) -0.188  (d) 0  (e) 3\/7  (f) 51\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -387.5 and 11?\nAnswer: -4262.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from tyyytyyyyyyy.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 329993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + 1 + -2*(-3 + -3 + -1*sqrt(1900)) + 1 + 1)**2.\nAnswer: 720*sqrt(19) + 7924","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -35, -104, -221, -392, -623, -920, -1289, -1736?\n\"Answer: -n**3 - 18*n**2 - 8*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.54 - 3.89. Let v = -5.73 - g. Sort -4, 6, -1\/8, v in ascending order.\nAnswer: -4, v, -1\/8, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes before 3:28 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 431468 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(1\/2))\/((-6)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 17*o - 21. Let t(s) = 4. Let g(d) = 5*t(d) + v(d). What is g(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away -3.5856795?\nAnswer: 3.7856795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -1*7*8347\/(-3437)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 0*f = -83. Suppose 7 + 129 = 8*c. Calculate the remainder when f is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 15 = -b, -5*b - 8*x + 12 = -4*x. Solve -5*z = -b*z - 2*f + 9, 0 = 4*z - 4*f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32399727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) be the first derivative of q**5\/15 + 7*q**4\/12 - q**3\/9 - 7*q**2\/6 - 115. Find v, given that l(v) = 0.\nAnswer: -7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10443240 (base 7) to base 5.\nAnswer: -212322110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 388488679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4 in -3, 2, 18\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 198180704539 - 0.04169.\nAnswer: 198180704538.95831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(sqrt(22) + sqrt(22) + sqrt(792) + sqrt(22) - sqrt(22))\/sqrt(2))**2 + 3*sqrt(88)\/sqrt(8)*1.\nAnswer: 3*sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lddssdssdpdllllddd. What is prob of picking 1 l and 1 s?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 611 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -13, -42, -69, -94, -117?\n\"Answer: b**2 - 32*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*l - k - 16, 4*l - 16 + 1 = 3*k. Suppose -9 = -l*z, 48 = -3*m - z + 12. Let v = 23 + m. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -5*f + 9. Let b(q) = -16*q + 26. Let j(r) = -2*b(r) + 7*w(r). Is j(-7) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22839893 and 3044?\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 22 + 0 - (-7 + 8). Suppose y - 5 - 2 = k, 3*y + 2*k - r = 0. Find the third derivative of -3*v**4 + y*v**2 + 9*v**6 + v**6 + 3*v**4 wrt v.\nAnswer: 1200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(0 + -1*(-1 + sqrt(245)*-2)) + -4)*-2)**2*-1.\nAnswer: -98004 - 560*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*((-5)\/2 + 2). Suppose -4*r - 1 - 11 = -2*p, v = -p - r + 21. What is the lowest common multiple of p and 66\/4 - (-3)\/2?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -281\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -176*s + 183*s - 42 = 0. Suppose 10*h - s = 7*h. Sort 5, h, -3 in descending order.\nAnswer: 5, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 923*a + 4697737 - 4697737.\nAnswer: 923*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -155 - -184. Let t be (-186)\/(-10) - 2\/(-5). Let p = n - t. Calculate the remainder when 27 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, d: 4}. Give prob of picking 1 d and 3 f.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5*(-15 - 474\/(-30)). Which is the biggest value?  (a) l  (b) -2  (c) 0.057  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ui when two letters picked without replacement from eduuddudewiikew?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -52 + 135*m**2 - 51 - 47 + 118*m**2 + 2*m**4 + 149 to r + z*m**4 + k*m**2 + d*m + f*m**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 8*l + 3*l - 1 - 2 + 1. What is the units digit of n(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6 + 1 + 5 - 14*a**2 to the form g + i*a**2 + r*a and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2493 + 6?\nAnswer: -2487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 4*k**3 - 8*k**2 + 15*k - 9. Let r(z) = z**3 - z**2 + z - 1. Let s(i) = g(i) - 5*r(i). What is s(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -24 + -101. Let u = t - -251. Suppose 0 = -3*w + u + 135. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z + 4*z + 3*z - 10*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*x + 10 = 23*x. What are the prime factors of 885\/6 - (105\/x)\/7?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.408*-0.1.\nAnswer: 0.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) be the second derivative of 1\/12*i**4 - 3*i - 1\/2*i**2 + 0 + 1\/6*i**3 - 1\/20*i**5. Let h(b) = -b**2 + 9*b - 12. Let f be h(7). Determine z(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22195?\nAnswer: 5, 23, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**2 + 95476592*o + 569736226245904.\nAnswer: 4*(o + 11934574)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m**3 - 13*m**2 - 7*m - 15. What is w(-4)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -59\/8 and -49\/1472.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + -1220?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*u - 53020 = -4*m + 17*u, 3*m = -2*u + 39767. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 6 = -3*q + 3, -5*q = -4*i - 8. Suppose -29 = -5*v + 2*s, -26 = -2*v - 3*v + i*s. What is the lowest common multiple of v and 15?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 91, 110, 129, 148, 167, 186?\n\"Answer: 19*g + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 - 6*m**2 + 3*m + 2. Let l be o(5). Let u(n) = n - 2 - 16*n + 9. Is u(l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-102990)\/(-18))\/((-2)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 (base 3) in base 15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1510685, 1510705, 1510723, 1510739?\nAnswer: 1510753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*a = -5*a. Let w(n) be the third derivative of 1\/8*n**4 - 1\/3*n**3 + a*n + 7*n**2 - 1\/60*n**5 + 0. Calculate w(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**6*w*w)\/((w\/w**2)\/w))**(1\/13) assuming w is positive.\nAnswer: w**(10\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -4560 rounded to the nearest 100?\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -11003 - -3201?\nAnswer: -2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/4)\/(493920\/(-26880))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 4*l + 7 = 0. Suppose -l*m = -10*m + 21. Let i(u) = -u**3 + 6*u**2 + 10*u - 1. Calculate the least common multiple of i(m) and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes before 12:34 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ocjjoojycoyx. Give prob of picking 2 y and 1 j.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -2*l**2 + 12*l - 17. Calculate a(11).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -159371*u**4 + 448619 wrt u?\nAnswer: -637484*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(104) - (sqrt(104) + (sqrt(104) - -2*sqrt(104)*-1) + sqrt(104)) - -3*-2*sqrt(104))\/(sqrt(288) - 2*(sqrt(288) - -1*sqrt(288))).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 15754523 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (-9 + 10) - -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*q = 40*q - 112. Let z = q - -24. Is 1843 + (-1 + z - -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1590458\/183 - -8691. Let k be 3508\/10*4*10\/4392. Let z = f - k. Find the common denominator of 5 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 369585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*y - 7*y + 5*y)*(3*y**2 - 5*y**2 - y**2)*(2 - 4 - 2).\nAnswer: -96*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1576863658?\nAnswer: 2, 557, 1415497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8342856 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -118158115587 + 118158115587 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -4635 - 5700. Suppose -8*s + 15333 = v. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2\/9*p**3 + 4\/3 - 4\/3*p**2 + 2\/9*p = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = 2*b**3 - 46*b**2 + 41*b + 53. Give d(22).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1\/4, 383 in increasing order.\nAnswer: 1\/4, 2, 383","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -36.2, -1\/12, 118, 0.1, -22?\nAnswer: -36.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -19116155*m**5 + 18245*m**2 + 9*m + 4.\nAnswer: -1146969300*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/91, 4, -158 in ascending order.\nAnswer: -158, 1\/91, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - (-4 + 3 + (2 - -3))) + 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 832 is divided by 139.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 2609151, 2609152, 2609153, 2609154?\n\"Answer: q + 2609150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 99 = 17147. Let d = m - 25427\/6. Find the common denominator of d and 29\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 448*-127\nAnswer: -56896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 12\/7, 5 in descending order.\nAnswer: 5, 12\/7, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3 + 1\/8*k**3 + 13\/8*k**2 + 5\/4*k.\nAnswer: (k - 1)*(k + 2)*(k + 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and -0.006098.\nAnswer: 0.006098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 103061208?\nAnswer: 2, 3, 17, 41, 61, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**1*j)\/j)**43*j**4\/((j\/(j\/j**1*j))\/j) assuming j is positive.\nAnswer: j**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j + 37. Determine a(0).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*o**2 - 39*o**2 - 314 + 13*o**2 + 0*o + 0*o.\nAnswer: -3*o**2 - 314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k - 8582 = 5*b - 16*k, -5*b = k + 8566. Let z = b + 18878\/11. Is z < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 569\/8 = 24760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1161*x**3*z - x**2*z**2 - 717*z**2 - 3 with respect to x.\nAnswer: -3483*x**2*z - 2*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q*q\/q**11)\/q)\/q)\/(q*q\/q**(-1\/3)*q)*(q**(-4)\/q)\/(q\/q**(-13)*q) assuming q is positive.\nAnswer: q**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 27 - 14 + 128*g - 13 + 74*g as l*g + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the first derivative of -c**4\/4 - c**3\/3 + 2*c + 2. Let u(y) = -y**2. Let a be 2 - (-2)\/(-3)*(-12)\/(-8). Determine a*u(j) + f(j).\nAnswer: -j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/o**8)\/o*o\/o**(-3))\/(o**(2\/15)\/(o*o*o**(-5\/2)\/o*o)))\/((o**(-1)*o)\/(o\/(o*o**10)))**(-3\/4) assuming o is positive.\nAnswer: o**(43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.4 + -5.7. Which is the second biggest value?  (a) -5  (b) 2\/19  (c) 5\/3  (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4 - (-18)\/4) + (-51)\/(-34). Solve 5*r = 20, y + l = 3*r - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58 = -2*d - 48 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 51466 + -30161?\nAnswer: 21305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 4*i**4\/3 + 7244*i**3\/3 + 1092032*i**2 - 1094448*i = 0?\nAnswer: -906, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*n**2 + 3*n - 33*n**3 - 14*n + 9*n + 3*n - n**4 - 65*n**3 to p*n**4 + d + s*n**2 + z*n + m*n**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/19  (b) -2  (c) -2\/7  (d) 1493  (e) 1910  (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2559*f - 2554*f + 3*b = 0, -5*b = 50. Let -117\/7*c + f*c**3 + 60\/7*c**2 - 108\/7 - 24\/7*c**4 + 3\/7*c**5 = 0. Calculate c.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -2068*a + 16529. Give f(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3a155 (base 16) in base 2?\nAnswer: -111010000101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.243 + -0.243. Let c = 39 + -118\/3. What is the smallest value in s, 2\/15, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2524*b**2\/3 - 4009792*b - 38128\/3.\nAnswer: 4*(b - 4766)*(631*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105431357?\nAnswer: 149, 379, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(b\/b**4)\/b)\/(b\/(b\/b**(-6\/11))))**25 assuming b is positive.\nAnswer: b**(-675\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 753854 or 753855?\nAnswer: 753854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 45\/3604 and 71\/52?\nAnswer: 46852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-310)\/(-31)*11\/(2200\/8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.063 and -0.04182351367.\nAnswer: 0.02117648633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(3\/2)*o**(-10))\/(o**(-5\/6)*o*o\/o**(-7\/3)*o) assuming o is positive.\nAnswer: o**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 4 + 5 + 5*m**2 + (m + 2 - 2)*(2*m + m - 2*m).\nAnswer: 6*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + 1 - (-70)\/10. Let m be d + (0 - 4 - -1). Solve -v = 5*y - m + 1, y = -4*v + 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 895 (base 11) in base 10?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 82831756 is divided by 27610585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/3, 1, -13, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10463\/220 - -17\/55. Let q = 2081\/44 + l. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1442 and 0.7966.\nAnswer: 1148.6972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27 divided by 4.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, 12.494, 4\/5, 0.4?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 124141849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27)\/(sqrt(81)\/(sqrt(54)\/sqrt(6))))**2 - (((sqrt(24)*2)\/sqrt(8) - sqrt(3) - sqrt(3))*6)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzqqqzqqqzq. What is prob of sequence qq?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 285\/41 - 529\/82. Suppose 0 = 2*j + 2*j + 36. What is the closest to u in 0.3, j, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 19989 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -6*-0.3\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4406*z + 4394*z - 8842*z - 2 + (z - z + 2*z + (-z + 5*z - 5*z)*(1 + 0 - 2) - 3 + 3 - 2*z)*(0 + 1 + 1) to the form u + x*z and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.69283277 rounded to four decimal places?\nAnswer: 1.6928","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, m: 4, z: 3, w: 1, i: 2}. What is prob of sequence mmi?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {z: 1, v: 1, h: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3235602 is divided by 49.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 10 = c, v - 5*c = -4*c + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 1980 + 1972 = -3*m, 0 = -32*t - 5*m + 190 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2359812979 take away 4.6?\nAnswer: -4.3640187021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -165*s = -168*s - 12. What is the nearest to s in 3, 5, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 - 11664*q - 140256.\nAnswer: 2*(q - 5844)*(q + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-28)\/(-21))\/((-2)\/9). Let a be -3*1 + t\/(-3). Let n = -986 - -986.4. What is the nearest to a in 4, n, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/22, 1, -4, 9, -0.07?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + w - 159 = 12*k, 2454*w + 3*k = 2457*w - 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*f**4*y + 69*f**4 - 41432*f**3 - 3*f**2*y - f**2 - 10210*f*y + 57*f - 2 wrt f?\nAnswer: -72*f*y + 1656*f - 248592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*j**2 + 15*j**2 + 6*j**2)*(-5*j + 7*j + 2*j) in the form n*j**2 + p*j**3 + i*j + t and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1909)\/(-138) + 2\/12. Let g(p) = 5*p**3 - 7*p**2 + 13*p - 4. Let y(h) = -h**3 + h**2 - h. Let d(q) = w*y(q) + 2*g(q). Let d(x) = 0. What is x?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v + 6 = 5*y, 188*y + v = 186*y + 15 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 5\/722  (b) 4  (c) 20820\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3 + 1 - -237 - -1. Let c be v\/10*(7 - 2). Let t(n) = -4*n - 1. Let d be t(-3). Calculate the highest common divisor of c and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1337974?\nAnswer: 2, 11, 61, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-2\/47)\/(k**(-12\/19)\/k)*(k\/k**(-21))**3 assuming k is positive.\nAnswer: k**(60357\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -4  (b) 2\/287  (c) -2  (d) -5  (e) -64  (f) 0.13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 258*z - 1491. Calculate s(8).\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 22 in -2\/13, 52.1, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the first derivative of f**4\/6 - 2*f**3\/3 - 13. Factor t(b).\nAnswer: 2*b**2*(b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 48394 * 1544\nAnswer: 74720336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 488504473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -62177.6 to the nearest 100.\nAnswer: -62200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 2\/25  (b) 1\/11377  (c) 2\/7  (d) -1\/4  (e) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11704 and 1976.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tttttttttqqtttqqttt. Give prob of picking 3 t and 1 q.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7332 is divided by 806.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((2 - -1) + 0)\/(-1). Calculate the remainder when 62 is divided by (-124)\/(-6) - 1\/g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19202628721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 46 divide 104942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 720 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w**(2\/9))*w\/w**(-3\/2))**(-6)\/((w*w**5)\/w**3*w**(-2\/9)*(w\/(((w\/w**(1\/3)*w)\/w)\/w))\/w) assuming w is positive.\nAnswer: w**(-151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 + -6. Suppose -2*x = 5*f - 29, -4*x - 5*f = x - 35. What is the closest to -0.1 in v, 1\/7, x?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = 4*n**2 + 3*n + 1. Let q be ((-1)\/(-2))\/((-3)\/18). Is j(q) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 3*o + 6 = m, 0 = -3*m + 3*o + 12. What is the remainder when 9 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -187700 to the nearest 1000.\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 30\/23597 and 1\/5511585.\nAnswer: 38581095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is u in -3*u**2\/5 - 10626372*u\/5 + 21252756\/5 = 0?\nAnswer: -3542126, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -103.39 at least -1\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 5*h - 914. Let x(f) = -9*f + 1817. Give -11*d(a) - 6*x(a).\nAnswer: -a - 848","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (36 + -22 - 29) + 74.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = h**3 - 2*h**2 + 2*h. Let j be a(3). Let x(q) = 2*q**3 - 7*q**2 - 2*q - 3. Let p be x(4). Solve -5*g + j = -p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3231901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m + 5*m + 5*m)*(m + 0*m - 2*m)*(4 - 4 + 2*m**2).\nAnswer: -14*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -212 or -274?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1407 + -1406. Which is the nearest to u?  (a) 0  (b) -40  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 = -s - 2*v, -s = v - 6*v + 17. Let c be s\/135 - 2\/(-18). What is the closest to -1 in 0.5, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.0267797 microseconds to hours.\nAnswer: 0.00000000195188325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2983127615?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 8242 and 627.\nAnswer: 5167734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 11 + -7. Let b = 1 - -2. Suppose -b = -n - 0. Is n at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.9901 minus 98130715?\nAnswer: -98130713.0099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1510 + -2?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = n**2 - 3253*n - 19558. Give b(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -7295.82131 to zero dps.\nAnswer: -7296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-2)\/8)\/(4\/(-48)). Let q(u) = u**2 + 2*u - 19. Let r be q(9). Suppose 52 = 4*o - s, 5*o - r = 2*s + 3*s. Solve -f*n + o = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = 3*y**3 - 241*y**2 + 163*y - 155. Is b(82) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 + -3.5. Let j = 2.3 - 1.8. Put 4, j, d in descending order.\nAnswer: 4, j, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-14 + (-2)\/1)*22\/(-8). Let y be 2 - (80\/o - 4\/(-22)). Sort y, 1.6, -5 in decreasing order.\nAnswer: 1.6, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*b + 15 = 20*b. Let y be 69\/(-18) - (0 - b). What is the smallest value in y, -0.2, 1\/10?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -4*o - 4. Let s be r(-4). Let f be 12\/16 - (-291)\/s. Solve 2*w + 17 = -3*g, -f = 4*g + g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(1\/5)*w*w\/w**39*w*w*w)\/(w**(-40)*w**(6\/11)))**(-8) assuming w is positive.\nAnswer: w**(-2752\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/6)\/(1\/(-6)). Let y be 132\/462 - (-12)\/7. Is g less than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 432751.\nAnswer: 11, 39341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, z: 6}. What is prob of sequence ez?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40170 and 9.\nAnswer: 120510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 78228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*v - 47374 + 0*v - 4*v**2 + 142084 - 47381 - 47329.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 4 + 5)*(-8*n**2 - 15*n**2 + 21*n**2) + (-5 + 3 + 3)*(-3*n**2 - 3*n**2 + n**2).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/15, 157, -2599, 8 in ascending order.\nAnswer: -2599, 2\/15, 8, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mjmv when four letters picked without replacement from {m: 6, i: 5, d: 3, j: 5, v: 1}?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 127*f**5 - 7*f - 990*f**4 + 990*f**4 wrt f.\nAnswer: 2540*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0*((-6)\/(-4) + -1). Suppose 2*a + 154 = 2*r, l*a - 2 = -a. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7369 + -7369.0013403. What is j rounded to four dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 48219*k**3 + 55481*k**2?\nAnswer: 289314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = s + 3. Let n be ((-2)\/(-5))\/((-4)\/40). Calculate k(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d - 10. Determine z(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2322302 (base 4) to base 10.\nAnswer: 11954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 26184*w**2 + 1772*w - 7.\nAnswer: 52368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f - 2. Suppose 13*t - 504 = 17*t. Let m = t - -135. Let b be m*-2*38\/(-114). Calculate u(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -j**3 - 5*j**2 - 6*j - 6. Let c be h(-4). Let p(y) be the first derivative of 0*y + 1 + 2\/3*y**3 + 0*y**c. Let g(m) = 2*m**2. What is p(g(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4234 + 1103290853.3.\nAnswer: 1103295087.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.4 - -3. Let r = 0.05 - 1.05. Let l = 0 + r. What is the nearest to 1 in v, -5\/3, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a**2 + 23 + 9*a**2 + 17.\nAnswer: 2*a**2 + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -60*g + 56*g + 632. Suppose -2*d = 2*p + p - g, -3*d = -4*p + 188. Solve -5*j + 5*u = p, -4*j + u + 0 = 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3742 and -1.7?\nAnswer: 6361.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r + 17. Let t = -78 + 81. Suppose t*q + q - 249 = 5*k, 4*k = -20. Suppose 2*p = -6*p - q. Give m(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2570.\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2726 + 1912 = 2*v + 4*b, 2*v - 4635 = -3*b. Let y be (-1)\/(-3) - v\/(-27). Is 14991\/11 + (y\/(-11) - -8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((1 + sqrt(1573) - sqrt(1573)) + -5 + -6*(1 + sqrt(1573) + sqrt(1573)))*-1 + -4)**2.\nAnswer: 38016*sqrt(13) + 3625488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 + 2211\/2233)\/(2\/14). What is the closest to -2 in g, 0, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the second derivative of -o**5\/20 + 11*o**4\/48 - 5*o**3\/24 - o**2\/4 + 2*o + 35. Find d, given that p(d) = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -k**3 + 4*k**2 + k - 2. Let f be d(4). Let z = 1.04 - -0.06. Let a = 1.1 - z. Is f greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -123*f**4 + 44*f - 1. Let z(t) = -61*t**4 + 22*t - 1. Let v(i) = -3*h(i) + 5*z(i). Find the second derivative of v(q) wrt q.\nAnswer: 768*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1 + (-10)\/(-14))*28\/14. What is the third biggest value in p, -0.3, -1, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (63*w - 67*w + 46*w)*(2 + 1 + 4)*(2*w - w + 3*w)*((0*w + 4*w - 5*w)*(-w - 2*w + 2*w) - w**2 + 5*w**2 - 3*w**2).\nAnswer: 2352*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/3 or -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*d + 15 = -15 - 18. Solve -3 = -2*r - d*l + 1, 4 = -2*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -34 + 28 + 21 - 36\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -16 and -4.4.\nAnswer: 70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 39 - 95. What is the remainder when 18 is divided by (5\/(10\/4))\/((-16)\/l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 3*l + 9. Suppose -2*x + 0*x = -10. Let w(n) = 3*n + 8. Let t(p) = x*w(p) - 4*z(p). Differentiate t(f) with respect to f.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(5 + (sqrt(1539))**2).\nAnswer: -6176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 30 = -5*l. Suppose -4*c = -l + 27. Is 0 less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 8*a**2 - 2*a. Let j be h(-8). Solve 0 = 5*s + 2*x - j, -7 = s + 2*x - 15 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*4\/8*1*-12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 849873377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 1:17 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*c + 689533 = -3924788. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -2*z + 7. What is j(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 1298 divide 35339348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -5*j**2. Let u(k) be the second derivative of -11\/6*k**4 + 0*k**2 + 0 + 0*k**3 - 108*k. What is a(u(o))?\nAnswer: -2420*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.477 times 13455\nAnswer: 6418.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + (-3 - -10) - 7 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) be the second derivative of -a**4\/6 - 7*a**3 - 20*a**2 + 39*a. Factor v(b).\nAnswer: -2*(b + 1)*(b + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -38*v**3 + 98*v**2 + 40*v - 23. Determine t(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 2*t + a, 2*t - a + 6*a = 33. Suppose c + 4*q = t, -3*c = -29*q + 30*q - 23. What is the remainder when 21 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/(-9))\/(9 - (-3315037)\/(-368313)). Let c = 372 - f. Calculate the common denominator of -79\/33 and c.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 687851922 to the nearest integer?\nAnswer: 883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -47 + (14 + 25 - 80).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2166 smaller than -2168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 274829 (base 11) to base 12.\nAnswer: 189454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the third derivative of t**5\/30 - 45*t**2. Let f(n) = -62*n**2 + 2. What is s(f(p))?\nAnswer: 7688*p**4 - 496*p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i + 14. Let p be r(-9). Let c(n) = 7*n + 23. Let k be c(-8). Let z = 52 + k. Solve 5*w - 12 = -h - 35, -3*h - p*w - z = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4793 - -4792.998. Which is the nearest to g?  (a) -3  (b) 1\/5  (c) -2  (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16*j*l**4 - 2338*j*l + 66*l**5 wrt l.\nAnswer: 192*j*l**2 + 1320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -10461, -2\/9, 4\/37?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 - 2 + 0)*(0*f + 2*f - f) + 0*f + 4*f - 3*f)*(3 - 3 - 10*f) to the form h + l*f + q*f**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (22\/(-4) + 6)\/(1\/(-10)). Let y(t) = -7*t**2 + 14*t + 9. Let w(b) = 3*b**2 - 7*b - 4. Calculate z*w(k) - 2*y(k).\nAnswer: -k**2 + 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/23, -2\/11, -4, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-151)\/(106757\/5050))\/((25\/42)\/(-5))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**(-5\/4))\/r*r\/(r**(-5\/12)\/r)*(r*(((r**(1\/59)*r)\/r)\/r)\/r)\/(r*r**(-5\/4)) assuming r is positive.\nAnswer: r**(307\/708)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*g**3*k**3*s + g**3*k - 14*g**2*k**3*s**3 + 4*g**2*s**3 + g*k**2*s**3 + g*k wrt k.\nAnswer: 12*g**3*s - 84*g**2*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 75 = -5*n - 33, -4*g + 3*n + 116 = 0. Suppose 2*y = p - g, -5*p + 6 = y - 0*p. Let z = y - -25. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(((sqrt(66)\/sqrt(11))\/sqrt(3) + sqrt(18) + -1)**2 + 5) + 1)*-5.\nAnswer: -40*sqrt(2) + 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2387*u - 2367*u + 4767*u - 624 = 0 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/5  (b) 0  (c) 12  (d) -4  (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25715*a**2 - 12859*a**2 - 12856*a**2 + 152*a**3.\nAnswer: 152*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1b7c51 (base 13) in base 5?\nAnswer: -134443222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32 + -29. Solve 0 = z*t - 2*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-306)\/84*(-832)\/(-1248).\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 7*m**2 - m + 11. Let a be o(-7). Let x = 17 - a. What is the nearest to x in 4, 1, 0.16?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -31113630 divided by -18.\nAnswer: 1728535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 33*c**5 + 941*c - 941*c + (-3*c**2 + c**2 + 0*c**2)*(-c**3 - 2*c**3 - c**3).\nAnswer: 41*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 2*f**3 - 19*f**2 - 15*f + 49. Calculate z(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 277 and 38487.\nAnswer: 38764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13204\/9 or 1468?\nAnswer: 13204\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 140513031 - 1?\nAnswer: 140513030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12201101 (base 3) to base 8.\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.34 times -4?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -105, 27\/7, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 5*k + 18 - 7 = 0, 0 = -s - 2*k + 18. Let a(y) = y**2 - 19*y + 47. Let v be a(s). Is (v - -1307)\/(42\/6 - 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1995049*c**2*i**3 + c**2*i**2 - 459762*c**2 wrt i?\nAnswer: 11970294*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/(189\/24)*(-12)\/(-16).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 g and 1 w when four letters picked without replacement from gggwgggggggggggwggg?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 5  (b) -2  (c) -712\/5  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7987163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -25896 by -1079.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 465 + 78 = -5*u, -o + 1 = 0. Calculate the remainder when u is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((22509\/122)\/(-41))\/((-12)\/(-136)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p**2 + 6*p - 5. Let s be j(4). What is the derivative of 3 - 12*f + 3 + 6*f - s wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -62836 minus 0.083?\nAnswer: -62836.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, k: 1}. Give prob of sequence ppk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -213*m**2*y**3 - 238*m**2*y**2 - 2*m**2 - 2*y**3 + 2*y**2 + 61*y + 6567 wrt m?\nAnswer: -426*m*y**3 - 476*m*y**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 + 6*w + 7. Let d be q(6). Suppose 83*k = 80*k - 3*v + 66, -5*v = -5. Calculate the highest common divisor of d and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes before 8:12 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -4, 5, -27, 428?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 22*r**2 + 2*r**5 - 22*r**2 + (5*r - r - 2*r)*(-15*r**4 + 5*r**4 - 4*r**4).\nAnswer: -26*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 5 = 4*b + 2*c, 0 = 2*b - 4*c - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/17  (b) -3\/4  (c) 0.04  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 883.\nAnswer: 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 12*x**2 + 13. Determine q(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -80 + 88. Suppose -a*h + 62 = -6*h. What is the remainder when h is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8 and ((-88)\/(-55))\/(-1 - (-22)\/20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(1\/2))**(-10\/3))**(-6)\/((v**(-1))**40*v**(-1\/4)*v\/(v\/(v\/((v**(3\/2)*v)\/v)))) assuming v is positive.\nAnswer: v**(283\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 78, 6, -3, 0 in decreasing order.\nAnswer: 78, 6, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**2 - 5*t - 5. Let v(s) = s**2 + 4*s + 6. Suppose 3*q - 4 = 2*q. Let m(z) = q*x(z) + 3*v(z). Let j be m(-7). Solve 0 = -j*w - 9 - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/33 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 55) + -2 + -12 + 11 + -15 + 15.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 26*b**3 + 25*b**3 + 28*b**3 - 10*b**3 in the form x*b**3 + p*b**2 + z*b + k and give x.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 - 1 + 1)*(41*n + 16*n - 4*n)*(n**2 + 2 - 2) + 2 - 2 - 2*n**3 to the form a*n**3 + v + p*n**2 + q*n and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 t, and 1 m when four letters picked without replacement from vrprpmjt.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2335441, -2335457, -2335475, -2335495, -2335517, -2335541?\nAnswer: -2335567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.11 and 3827109.55321?\nAnswer: 3827109.44321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 7 - -231?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/(-16)*0\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 30, -10, -1 in increasing order.\nAnswer: -17, -10, -1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + s = -2*m - 6, m = -s - 2. Let v = 2.5 - 2. What is the closest to s in v, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (14\/(-8))\/(3\/(-12)). What is the second derivative of p - 2*g**4 - g - 7 wrt g?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + -3*((-3*sqrt(1100)*-2 - (2*sqrt(1100)*-6 - sqrt(1100)))**2 + -3)*1).\nAnswer: -4765176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 600 and 242676?\nAnswer: 12133800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (60\/(-180))\/(4\/126)*732\/183?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 9*h - 3. Let s(x) = -2*x - 2. Let c(p) = 6*p - 8. Let i(q) = -c(q) + 2*s(q). Give 3*i(n) + 4*t(n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 95*u**5 - 26390*u**4 - 1248065*u**3 - 261580*u**2 = 0.\nAnswer: -41, -4\/19, 0, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 539617958 to the power of 1\/2, to the nearest integer?\nAnswer: 23230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 - 2 - 2)*(t**3 - 3*t**3 + 4*t**3) - 2*t**3 + 2*t**3 + 4*t**3.\nAnswer: 26*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 6*n - 9. Let t(r) = -r**2 - 186694*r. What is a(t(x))?\nAnswer: -6*x**2 - 1120164*x - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -76\/23247 and -77\/12.\nAnswer: 92988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -594 + 592. What is the nearest to 2\/5 in 17, 1, -3, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23127660 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13923?\nAnswer: 3, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.0225243 - -0.0225. Round n to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 - 8*a**2 + 18*a - 28. What is the smallest common multiple of (-3 + 1)\/(2\/(-11)) and o(6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25841*j - 363 = -25808*j for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-584)\/(-73))\/24*1\/((-1)\/36)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 24 - 24. What is the nearest to d in 0, -0.3, -0.12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20) - (sqrt(60)\/(sqrt(15)\/sqrt(5)))**2) + sqrt(20)*-1*-5 + (sqrt(375) - (sqrt(375) + (-2*sqrt(375) - sqrt(375))))\/(6*sqrt(9)\/sqrt(3)).\nAnswer: -20 + 29*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/(-5))\/(((-35)\/25)\/7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(-2\/9)*c)\/c)**28\/((c*c**(-24)\/c*c*c*c*c)\/c*c**(6\/11)*c))**(-11\/4) assuming c is positive.\nAnswer: c**(-655\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {z: 2, u: 1, v: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of n**4\/12 + n**3\/3 - 2*n**2 + 2*n. Let f be o(2). Solve 3 = 3*k + t + 2*t, 3*k - 1 = -f*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = i**2 + 19*i - 29. Give a(-23).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 170\/1190*7\/(-2)*2772. Is u greater than or equal to -1380?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -890 divided by 27\nAnswer: -890\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.94 + 0.939963. Round l to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 357*t + 19. Let h(y) = 5*y. Give h(f(m)).\nAnswer: 1785*m + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2 = -0. Let x(g) = -2*g**2 - g + 2. Let c(o) = -o + 1. Let n = -7 + 5. Let a(s) = j*x(s) + n*c(s). Find the second derivative of a(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 1\/10  (c) -0.2  (d) -0.846\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -3*q**2. Let j(s) = 494*s. Determine i(j(g)).\nAnswer: -732108*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7629 + -167905\/22. Let r = -5411 + -239. Let z = 113049\/20 + r. What is the common denominator of z and o?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*-4*15\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 7 + 0)*(-2*a - 3 + 3) + (5*a - 3*a - a)*(-1 - 1 + 1).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 4*h + 2 = 3, 5*k + 5*h = -5. Suppose 0*u + k*u = -6, -2*u = 5*q - 6. What is the smallest common multiple of 7\/4 + 1\/4 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 68.46 + -0.46. Let y = -68.932 - -1.032. Let d = y + n. Which is the closest to -3?  (a) -5  (b) -0.1  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(2\/7)*g*g**(1\/5)*g)\/(g**(-2)*g*g**7\/g))\/((g**0)**22)**(33\/7) assuming g is positive.\nAnswer: g**(-88\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6b33d7a + 5?\nAnswer: 6b33d81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -156.2 + 156. Let m = 0.2 - 0. What is the closest to m in 2, -5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -4157*j**2 + 96*j + 4192. Let q(g) = 99770*g**2 - 2288*g - 100606. Let z(x) = -143*c(x) - 6*q(x). What is the derivative of z(u) wrt u?\nAnswer: -8338*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -121\/458328 and 21\/1612.\nAnswer: 14208168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(475) + 1))**2 - (sqrt(171)\/(sqrt(18)\/sqrt(2)))**2*-3) + 1*(((1*sqrt(209) - sqrt(209)) + sqrt(209))\/sqrt(11))**2 + (-2*sqrt(133))\/sqrt(7)*-3.\nAnswer: 166*sqrt(19) + 7692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 l, and 1 j when three letters picked without replacement from ddjol?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-36)\/15)\/(-6)*(-5)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, i: 2, h: 3, n: 3, l: 3, w: 2}. Give prob of sequence clnh.\nAnswer: 9\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide 593352 by -134.\nAnswer: -4428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z - 7 = -4*w, 3*w + 4*z = -13 + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 4. Suppose 3*d + n = -6. Is -2 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87915.14m to kilometers.\nAnswer: 87.91514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 + 13. Let i = k - 18. Find u such that 5*u**2 + 10*u - 55*u**3 + 180*u**5 + 0*u - 181*u**3 + 46*u**3 - i*u**4 = 0.\nAnswer: -1, -2\/9, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20*37\/1850)\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from laseellalmlalxs. What is prob of sequence laa?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o + 5. Let m be ((-1)\/1 - 0)*3. Let z be h(m). Solve -2*d - z = -4*i + 16, 3*i - 4*d = 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-1\/3)*b\/(b**(-2\/25)\/b)*b*b)\/(b**(-1\/5)\/b)**3 assuming b is positive.\nAnswer: b**(551\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - 23*i**2 + 53*i - 17. What is r(-25)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4721530 + 4721529.29999968. Let d = o - -0.7. Round d to seven dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -31 + 34. Let n(i) = 5*i - 8. Let v(a) = 2*a - 3. Determine b*n(o) - 8*v(o).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 1 = -0. Let v be 1 + (-2)\/3 + 6\/(-9). Sort 0.1, l, v in ascending order.\nAnswer: l, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 16, 40, 64, 88, 112?\n\"Answer: 24*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -36 + 58. Let c(t) = t**3 + 7*t**2 - 4. Let a be c(-6). Solve p + q - 2 = -5*w, -4*w - a = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 304, 1329, 3024, 5377, 8376, 12009?\n\"Answer: -2*h**3 + 347*h**2 - 2*h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the first derivative of -t**10\/504 + t**6\/45 + t**3 - 7. Let q(x) be the third derivative of c(x). Find the third derivative of q(u) wrt u.\nAnswer: -1200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6\/7  (b) -1\/5  (c) 0.6  (d) 2  (e) -3\/7  (f) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 176312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1863, 7524, 16975, 30216, 47247, 68068, 92679?\nAnswer: 121080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = o**3 + 5*o**2 - 6*o + 2. Let d be l(-6). Suppose 0*s + d*s + 10 = 0. Let m(n) = 62399*n**2 - 5*n. Let p be m(s). Round p to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z**2 + 1749*z - 3486 = 0. Calculate z.\nAnswer: 2, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.7500288 rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bu when two letters picked without replacement from bessbvsvbuspubv?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that -h**4\/2 + 81*h**3 - 6721*h**2\/2 + 6480*h - 3200 = 0.\nAnswer: 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-119)\/833)\/((-2)\/70).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fnnnnf. What is prob of picking 1 f and 1 n?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55)\/44*(-1 + (-3)\/(-5))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kwgwwwwwgggwwwkwwk. What is prob of picking 2 g?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.037821 - -2127.062179. What is o rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + -22120120212?\nAnswer: -22120120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w**5 + 5*w**4 - 4*w**3 - 4*w**2 = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -393 - -478. Calculate the remainder when n is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 + -1. Let h = 0 + 4. Suppose h*r - 4*k - 4 = 0, 2*k + 9 = 2*r + 7*k. What is the greatest common factor of r and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-11*f + 73*f + 11*f)*(2*f**3 + f**3 - f**3) + (-5 + 3 + 4)*(0*f**4 + f**4 + 2*f**2 - f**2).\nAnswer: 148*f**4 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 - 11*s**2 + 18*s + 3. Let q be r(9). Suppose -2*g + 9 = -q*g - 4*h, 3*h + 24 = 5*g. Solve 5*d = -g*c - 20, 2*c - 4*d = -2*c + 16 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17086?\nAnswer: 2, 8543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k + 8. What is y(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xs when two letters picked without replacement from {p: 4, s: 4, d: 6, i: 2, x: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 divided by 69?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 4, -5\/3, -5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 900 = 4*j, x + 6*j + 180 = 2*j. Let r = 283 + x. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 2 - -6 - (15 - 7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1808308 != 3616613\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -5686.577 to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/5)\/(90\/(-525))*(-880)\/77.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/(-3) + 15\/3 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82299660 to the power of 1\/2, to the nearest integer?\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(-4\/9)\/(o\/o**13*o*o)*o**(3\/5)\/o**(-5\/2))**45 assuming o is positive.\nAnswer: o**(1139\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2415913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 2*i - 0*i - 5*n, n - 20 = -4*i. Suppose -y + i*y = 0. Suppose 5*u = -y*u + 3365. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -10*y - 5. Let g(w) = 8 - 11 - 3 - 11*w. Let v(q) = 5*g(q) - 6*r(q). Let f(x) = 5*x. Calculate f(v(z)).\nAnswer: 25*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 - 0. What is the smallest common multiple of (1 - x) + 3 + 2 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1995*x**2 - x + x + 2000*x**2 - 3987*x**2.\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 + 2*x**2 + 23*x - 55. Let y be g(4). Sort -13, 4, y, 16.\nAnswer: -13, 4, y, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1178176 is divided by 62006.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (21844\/1505)\/(-254) + (-353)\/1330*-2?\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12777?\nAnswer: 3, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3*1432040\nAnswer: -4296120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j = 5*n + 19, 324*j + 9 = 326*j - 3*n for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 8*w - 3. What is the units digit of x(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 3*a - 33, -4*a - 4 = -0*a. Suppose 0 = -4*i + 3 + 5. Suppose 2*b - w = 5*u + 1, -b + i = -u. Does b = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1334.1l in millilitres?\nAnswer: 1334100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 207827a + -51?\nAnswer: 2078229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 24 + 2?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 - 52*l - 3547. Calculate m(-39).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 19.09?  (a) -1\/4  (b) -1  (c) 4  (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 - -2b343?\nAnswer: 2b33e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 69 = -0*w. Does 15 divide 5\/3 + 21620\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 3*w**2 - 158*w + 60. Calculate m(52).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/5 + 17*x**2\/5 + x\/5 - 17\/5.\nAnswer: -(x - 17)*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38750 = 91*i - 26829 for i.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 741588726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -4 - (-2 - (2 + -3 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2513, -2356, -1925, -1082, 311?\n\"Answer: 23*w**3 - w**2 - w - 2534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-75)\/(-10)*(315\/50)\/(-9)?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/5  (b) 0.07  (c) -12\/7  (d) 366\/17  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -13?  (a) 4  (b) -2  (c) 1  (d) 39\/88  (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.876 + 0.076. Let z = -1.4 + k. Let h = 7.2 + z. What is the third smallest value in -3\/5, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, q: 7, u: 1}. Give prob of sequence qu.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/3*(-3)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*y - 11*y = 378. Suppose 0 = -y*l + 17*l + 1. Solve -2*m + l + 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 4*r**2 - 3*r + 3. What is the remainder when c(-4) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:26 PM and 10:49 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 180\/(-50)*120\/48?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = 15*r**2 - 319*r - 641. Let o be h(-2). Solve -41 = 4*p - 4*g - o, -5*p + 2 = 4*g for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (63\/(-18))\/7*-10. What is the fourth smallest value in 1\/2, 43, t, -1?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 329437 to the power of 1\/3, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 313251530 (base 6) to base 9.\nAnswer: 11273710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -10, -301\/2, -4?\nAnswer: -301\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2360 and 1475.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 4 = 46. What is the remainder when 123 is divided by (21\/(-21))\/(-1 + u\/43)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaawwa. What is prob of picking 1 w and 2 a?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - y + 9 = 0. Let w = -11 + 16. Sort y, w, -5 in decreasing order.\nAnswer: w, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76967.\nAnswer: 11, 6997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of -2*h**6\/15 - 3*h**5\/5 - 275*h**2\/2 - 93*h. Find the first derivative of o(a) wrt a.\nAnswer: -16*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 2*c**3 - 2*c + 2. Let g(q) be the first derivative of q**4 - 5*q**2\/2 + 5*q + 25. Give 2*g(v) - 5*j(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -29 - -266. Suppose 660 = 5*s - 5*o, -u = 3*s + o - 653. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u**4 + 24*u**3 - 15*u**2 - 42*u = 0. What is u?\nAnswer: -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -33 + 67. What are the prime factors of s?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 t, and 1 p when three letters picked without replacement from ptxvwpew.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2299659217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -h**2 - 5*h + 8. Let y be m(-7). Let x(c) = c**2 + 7*c + 9. Let q be x(y). Solve -1 = -a - q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 598802 is divided by 27217.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 40 times -9\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 + (4 + -5 - -4 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 2\/9, -263, 1121, 2, -0.4, -1?\nAnswer: 1121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1219 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -10*u**2 + 4*u - 1. Let c(i) = -19*i**2 + 9*i - 6. Let x(z) = 4*c(z) - 7*j(z). Determine x(3).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 2*x**2 - 2*x - 2. Let l(p) be the second derivative of -p**4\/3 + 5*p**3\/6 + 5*p**2\/2 - 227*p. Suppose 0*g = 5*g + 10. Give g*l(v) - 5*u(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*p - p - 2*p + 3*p - 48448053*p**3 + 48448052*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 9 - 3)*(-262 - 267 + 504)*(-4*p + p**3 + 4*p)*(4*p - 3*p + 0*p) to u*p**4 + f + r*p + c*p**2 + w*p**3 and give u.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -111518, -111394, -111172, -110846, -110410, -109858, -109184?\n\"Answer: n**3 + 43*n**2 - 12*n - 111550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 1. Let k be t(1). Suppose -2*h = -3*y + 59, y = 3*y - k*h - 42. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:36 PM and 4:45 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1433184*m**4 + 67*m**3 - 47085168*m**2 wrt m?\nAnswer: 34396416*m + 402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 338, 853, 1838, 3395, 5626, 8633, 12518?\nAnswer: 17383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4*1*(-5)\/150)\/(6116\/(-198) - -31).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 126 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1196 is divided by 75.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -t**3 + 16*t**2 + 29*t + 41. Calculate the remainder when b(17) is divided by 225.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {f: 2, d: 7, s: 1, j: 1, c: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 2:32 AM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1559 + -1559.00003832. What is p rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 25*z**2 - 2*z + 4. Let u(p) = 202*p**2 - 17*p + 34. Let j(m) = 17*a(m) - 2*u(m). Let k(y) = 2*y - 17. Determine k(j(o)).\nAnswer: 42*o**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Is 1938331 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*(6\/(-30) + 297\/10). Let r = -70 + h. Calculate the highest common factor of 36 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1126592 by 1.\nAnswer: 1126592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 - 6*s**2 + 2*s + 43. Let p be x(-3). Let o(h) = 8*h - 85. Determine o(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**2\/l*l*l)\/l)**(-5)\/(l**(-4\/5))**40 assuming l is positive.\nAnswer: l**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-39))\/(2\/(24\/2)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3 + 1)*4\/(-12)*3. Suppose -5*u = -u, g = -h + 5*u. Let o be (-4)\/8*-20 - h. Solve -o = -i + 5*t, -4*i + t + 2*t + 14 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2341783 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b - 2*n - 4 + 13, -b - 4 = -n. Let s be -1*(b\/(-1) - 4)*1. Sort -8, 5, s, -2 in decreasing order.\nAnswer: 5, s, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 26000 and 265616.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 - 29*o + 127. Determine g(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 234*a - 11037 = 13686 - 4365 for a.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0.16 * 0.06520675\nAnswer: 0.01043308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 - 2.7. What is the second biggest value in 0, s, 3\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366456 + -1?\nAnswer: 366455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes after 1:57 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -748536 divided by 3\nAnswer: -249512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -458*y + 450*y + 1588120. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 2*l - 170 = 0. Let v be (-2)\/(-4)*(l + -3). Suppose 30 = 5*g + c + c, 4*g + 5*c - v = 0. Solve -4*x + r = -8, 3*x - 2 = -g*r + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*b = 50*b + 5*b + 23*b - 1620 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(204) - 2*sqrt(204)*5) + -1*sqrt(204)*-4)\/(-5*sqrt(192)*-4).\nAnswer: -sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/111950 and -163\/67170.\nAnswer: 335850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*s - 14448 = 7784. Suppose -27*z + 31315 - s = 0. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 PM and 9:52 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1202.06048 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 68552, 68557, 68564, 68573, 68584, 68597?\n\"Answer: k**2 + 2*k + 68549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/45 and -109\/651834?\nAnswer: 3259170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 258 divided by 43\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -16 - -15. Let t = -5884\/7 - -17656\/21. Find the common denominator of t and k\/(-2) + 100\/(-48).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 5 = -b, 1 = -2*x + 3*x - b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 156 and 288?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:17 AM and 1:03 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4*2\/10)\/((-414)\/(-230))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 45099\/14 + -3220. What is the common denominator of f and 9\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b**2 - b**2 + b**2)*(51*b - 51*b + b**2).\nAnswer: -2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 + 88*b**2 + 160*b + 2411. List the prime factors of s(-76).\nAnswer: 7, 67, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6061879?\nAnswer: 89, 68111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -2, 20, 44?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 858*j + 39161 + 37348 = -36747 for j.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -2097*m + 114. What are the prime factors of o(-11)?\nAnswer: 3, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -176.48 - -180. Let z = -0.52 + s. Let l be (2\/114)\/((-19)\/(-114)). Which is the second biggest value?  (a) -4  (b) z  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*z**3 + 43*z**3 - 3*z**2 + 0*z**3 - z**2.\nAnswer: 89*z**3 - 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate f**3*l**2 - 2*f**3 + 6*f**2*l - 4*l**2 + 161 with respect to l.\nAnswer: 2*f**3*l + 6*f**2 - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 11*h - 3. Let y(a) = 37*a + 41*a - 90*a - 7 + 38*a. Let q(b) = 14*d(b) - 6*y(b). Let x(w) = -7*w**2 + 30. Determine q(x(m)).\nAnswer: 14*m**2 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 5751042 = -3*t, 3*t - 4*y - 268159 - 5482869 = 0. Let i = -536764203\/280 + t. Let z = -4\/35 + i. Calculate the common denominator of -5\/8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 * 2143\nAnswer: 36431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 169067, 169068, 169069, 169070, 169071?\nAnswer: 169072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 25\/3, -1, 2, 5 in descending order.\nAnswer: 25\/3, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -17*z - 1. Let w(h) = -138*h - 8. Let p(o) = 8*b(o) - w(o). Let n(s) = -3577*s. Calculate n(p(t)).\nAnswer: -7154*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7754 + 11*q**2 - 2424 + 12605 + q**2 - 2427.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2885 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*o - 3*o - 9 - 3*o)*(279*o + 238*o - 790*o).\nAnswer: 273*o**2 + 2457*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*a - 11*a = -125 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -3\/8, 4, 0.1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -2*i + 234. Suppose -i = -13*y + 10*y. Suppose -2*d + 0*d = -y. Calculate the remainder when 51 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 46 = 8. Suppose -h*l + 79 = -17*l. What is the units digit of l\/(((-12)\/(-8))\/((-6)\/(-4)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -3, 11, -1.2, 13\/522?\nAnswer: 13\/522","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qkbqbqqhuqqchbbbk. Give prob of sequence kubh.\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -1567 + 1567 - c. Suppose 0 = -5*b - 8 + 23. Let z(v) be the first derivative of -v**3 - 3*v**2\/2 - 4. What is b*d(l) - z(l)?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2376*j**3*s**2 - j**3*s - 350*s wrt s.\nAnswer: -4752*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -15 * -90\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48 = -271*j + 255*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 3) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6293 = -57*s + 5267 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1)\/2 - 105\/6. Let g = w + 22. Let l(f) = f**3 - 3*f**2 - 5*f + 3. Give l(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -660 divided by 32053?\nAnswer: -660\/32053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.739 to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 4*a + 36 = 0. Let s = 12 + a. Solve 2 + 1 = s*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1530.424 + 1587. Let m = j + -57. Let f = -0.32 - m. Round f to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -236.6025612 - 113.5710366. Let i = 355.6736 + o. Let l = 5.5 - i. What is l rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 716*k**4 + 2*k**3 + 36*k**4 - 511*k**4 - 2831*k**4 + 2*k + 488*k**4 to u*k + n*k**2 + m*k**4 + p + x*k**3 and give m.\nAnswer: -2102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 284473?\nAnswer: 7, 40639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 86*l**2. Is a(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (42 - 42 + 83*o)*(-4*o**2 - 2*o**2 + 5*o**2) as w*o**2 + c*o**3 + b + z*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:39 PM and 10:31 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/4*(1 - -7). Suppose -4*m - u = -7*m. Suppose -4 = -m*y + 8. Solve 0*v + 6 = y*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = u**3 + 5*u - 3. Give o(3).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 304730 is divided by 16037?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(312)\/sqrt(150) + -2*sqrt(468)*1)**2.\nAnswer: 116*sqrt(13) + 44357\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -4*(3 + -1)\/(-8). Let q = 3 - g. What is the third derivative of -r**4 + q*r**2 - 3*r**4 + r**2 + r**2 wrt r?\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 96915 - 410292 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from ppkkkkpkkp.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 + 16*a - 62. Let o be k(8). Solve 15*c**4 - 6*c**5 + 2986*c**2 - 3190*c**o - 174*c**3 + 27*c**5 + 72*c = 0.\nAnswer: -2, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -7*k**3 + 5*k**2 - 8*k - 1. Let s(v) = -10*v**3 + 8*v**2 - 12*v - 2. Let g(b) = 7*a(b) - 5*s(b). Let r be g(4). Solve r*n + n = -12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {a: 1, f: 8, g: 5, e: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 67 or -0.695?\nAnswer: -0.695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) be the third derivative of -7*s**4\/24 - s**3\/3 + 21*s**2. Is g(-1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 - v. Let i(x) = x**3 - 3. Let z(p) = -i(p) + j(p). Let r = 95 - 59. Let c be (-4)\/18 + 8\/r. Give z(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 396872 and 52402?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 377.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -48*f**2 - f - 3. Let o(j) = 145*j**2 + 2*j + 9. Let c(w) = -8*h(w) - 3*o(w). What is the second derivative of c(d) wrt d?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {g: 12, a: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of m**6\/135 + 4*m**5\/45 + 91*m - 1. Determine q, given that d(q) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = n**2 + n + 13. Does 5 divide d(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/3 - 9\/(270\/5500). Let l = -110 - u. What is the smallest common multiple of l and 48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 618268 is divided by 449.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 144209, 576841, 1297923, 2307479, 3605533, 5192109?\nAnswer: 7067231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 978 = -242*i, -135*i + 3*q - 23 = -133*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of a**4\/12 - a**2. Let v(q) = -81*q + q + 27*q + 3*q + 14*q. Calculate d(v(z)).\nAnswer: -72*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 138510 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3027 - -372. Let v(h) = -9*h - 4*h - 3399 + b. Let g(i) = 12*i**2. Determine g(v(u)).\nAnswer: 2028*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -10*o**3\/9 + 16*o**2\/9 + 22*o\/3 - 8 = 0?\nAnswer: -12\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w**2 + w + 5. Let r be y(0). Let l(z) = -z**3 + z**2 + 4*z + 1. Let h be l(3). Put 4, h, r, -4 in descending order.\nAnswer: r, 4, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k**3 - 2*k**2 - 21*k. Let r(p) = p**3 + p**2 + 10*p. Let t(q) = 73*q + 9483. Let j be t(-130). Give j*r(n) - 4*i(n).\nAnswer: n**3 + n**2 + 14*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from vyribyw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**4\/3 + 1906*q**3\/3 - 11580*q**2 + 69768*q - 139824.\nAnswer: 2*(q - 6)**3*(q + 971)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 24*11\/704 - 1242\/240 - -8. Factor -y - 1\/5*b**2 - 2*b.\nAnswer: -(b + 2)*(b + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2 - 2*z + (2 - 5 + 1)*(1224*z + 523*z - 241*z) as x*z + n and give x.\nAnswer: -3014","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 677.5 - 675.5. Which is the fourth biggest value?  (a) 19  (b) 0.5  (c) 5  (d) o  (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3 + 7. Let g be 3\/(-3) + (-66)\/(-2). Suppose 4 = -s*p, 2*j + 0*p + 2*p = g. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*h**6 + 6144*h**4 + 482*h**3 - 5*h**2 + 12*h - 142485 wrt h?\nAnswer: -600*h**3 + 147456*h + 2892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, -365, -2?\nAnswer: -365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 13.362 rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 254 minutes before 2:42 PM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:11 AM and 5:23 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:41 AM and 1:31 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 + 26 - 8 - 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -315*p + 4*y - 26 = -318*p, -18 = p - 4*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2*0.200493.\nAnswer: -0.0400986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, -3, 38, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 24*o + 7260 = 10*o. Calculate the remainder when 2201 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 + -0.15084?\nAnswer: -0.25084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {o: 6, m: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 2*a - 17. Let h be w(11). Suppose -h*z = -2*z. Let p(r) = r**2 + 54. Is 13 a factor of p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1388253 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2, -7, -16?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 4*d + 5*d**2 - 5 + 0 + 0 + d**3. What is r(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h - 14. Let f(g) be the second derivative of -2*g**3 + g + 60. Give r(f(m)).\nAnswer: 12*m - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 + u. Let w(i) = -22*i**3 + 22*i + 13. Let s(r) = -15*r**3 + 15*r + 9. Let q(o) = 7*s(o) - 5*w(o). Determine q(d) + 4*v(d).\nAnswer: d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 947*w + 2655*w = 287707 + 25667 for w.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of n**2*o**3 - 29*n**2*o**2 - 44*n**2 + o**2 - 3*o wrt o.\nAnswer: 6*n**2*o - 58*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/((o**1\/o)\/o))\/o*o*(o\/(o\/(o*o**(-23))))\/o)\/(o**3)**(-1\/9) assuming o is positive.\nAnswer: o**(-62\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:18 PM and 7:02 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -y - 20. Suppose -18 = y*i - 8*i. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 8 = 3*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 != -3\/62615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h\/h**(-1))\/h)**(1\/66))**(-7) assuming h is positive.\nAnswer: h**(-7\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*v**2 + 2*v**2 + 2*v**2 + (2*v + 2*v - 6*v)*(1 - 1 + 2*v) - 3*v**2 - v**2 + v**2 - 2*v**2 + 2*v**2 - v**2)*(6*v**2 - 5*v**2 + v**2).\nAnswer: -14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 68 - 38. What is the remainder when (544\/(-80))\/(10\/(-525)) is divided by l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 20 = 4*t, t + 0*b - 3*b = 5. Suppose -4*k + 3354 = t*q, -584 = -2*q + k + 768. Suppose -4*w + 266 = -q. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 8*p. List the prime factors of i(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t = 3*j + 12, 0 = -3927*t + 3923*t + j - 16 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 + s**2 + 95*s - 533. Determine q(6).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 65, 109, 153, 197?\nAnswer: 241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oojojyyj. What is prob of sequence jojj?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -11*u**3 - 2*u**2 - 2*u - 9. Let w(c) = 3*c**2 - c - c**2 - 3*c**2 + 0 - 4 - 5*c**3. Let o be 6\/((-6)\/(-2)) - 6. Calculate o*b(p) + 9*w(p).\nAnswer: -p**3 - p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.5  (b) -4\/17  (c) 0.4  (d) 294  (e) -3\/8  (f) 78\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 651 = -3*y, -3*y + 95*h - 90*h = 655. Which is the biggest value?  (a) -0.3  (b) -0.1  (c) -2  (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 130\/60 - 1\/6. Let b(o) = -3*o**3 + 3*o - 3. Calculate b(j).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 4 = 1, -2*q + 18*w = 0. What is the remainder when 193 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 6 - 22. Suppose -t = 3*t - n. Is 13 a factor of t - 1 - (-109 - -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 46*u**5*w + 2*u**4*w**2 + 12*u**2*w - w**2 wrt u.\nAnswer: 2760*u**2*w + 48*u*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 - 11*q + 9. Let x be t(-9). Suppose 22*f = x*f + 85. Let s(u) = -14*u**3 + 17*u - 17. Let j(d) = -5*d**3 + 6*d - 6. Calculate f*j(y) + 6*s(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, 11, -5, -61, 0 in increasing order.\nAnswer: -61, -36, -5, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyv when three letters picked without replacement from iyyyviyyyyiiiiy.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -17138030 to the nearest 100000.\nAnswer: -17100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -59 = -3*l - 8*g + 6*g, -48 = -l + 5*g. Solve -144 = -l*j - j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16\/9675 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ollnoono. Give prob of sequence olo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 16313, 16312, 16311, 16310?\n\"Answer: -o + 16314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 356 - 544. Let g be x\/342 - 16\/(-152). Let d = -7 + 6.8. Which is greater: g or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 43 - 49.1. Let o = g - -3.1. Put -2\/19, -1, o in decreasing order.\nAnswer: -2\/19, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 3342875.78474.\nAnswer: -3342877.78474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-2))\/((-1)\/2). Let q = -20 + 23. Factor -2*i - 5*i**c + 3*i**3 + 5*i**4 + 3*i - 3*i - i**q.\nAnswer: i*(i - 1)*(i + 1)*(5*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-30)\/(-9))\/((-9)\/(-27)*-7).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = -13*f - 2*f. Suppose f = -3*q - 4*i + 39407, 0 = -q - 7*i + 11*i + 13109. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 982407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5017 is divided by 129.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**3 - 6*k**2 + 6*k - 4. Let w(l) = -l**3 - 12*l**2 - l - 8. Let x be w(-12). Calculate d(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (34164\/32)\/(-3 + (-830)\/(-264)). Let c = f - 7418. What is the common denominator of -103\/14 and c?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 115*v**4 + 8*v**3 + 403*v**2 wrt v?\nAnswer: 2760*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1135, -2272, -3409, -4546, -5683?\n\"Answer: -1137*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -9. Let i be d\/(-2)*(-28)\/12. Let b = i + -5. Put -3, b, -2 in ascending order.\nAnswer: -3, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/41, 2\/5, 3, -4.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 83 + -79 - (-1 + (0 - (6 + -4))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5215015?\nAnswer: 5, 13, 80231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/25 + 119\/1400. Let b(m) be the third derivative of 0 - 7*m**2 + 0*m - 1\/50*m**5 + 0*m**3 + o*m**6 + 1\/350*m**7 + 0*m**4. Factor b(y).\nAnswer: 3*y**2*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 5 - 2. Let f(y) = -4 - r + 5 + 6*y - 2*y. What is the remainder when f(4) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 72567720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = -3*m - 60 - 121, -2*q = -2*m - 74. Let r be 1 - -36 - (1 + 1). Do r and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/4*(21 - 15). Let q = 2 + y. Put -17, 4, q in decreasing order.\nAnswer: q, 4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 205416751 to the nearest integer?\nAnswer: 14332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.1 or -80681?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 7315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0399235452 rounded to 6 dps?\nAnswer: 0.039924","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 25965981, 25965982, 25965983, 25965984, 25965985, 25965986?\nAnswer: 25965987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 254211506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 194\/(-4)*(8 - 6). Let i = -57 - x. Let f = 2 + i. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 12:36 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 549448 and 14878.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -212692, -212889, -213086, -213283, -213480?\nAnswer: -213677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k**4 + 2*k**5 + 4*k**4)*(4 + 0 - 5) - 25 + 57 - k**2 + 23 + 124*k**5 + 63.\nAnswer: 122*k**5 - k**2 + 118","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1 + 1.2. Let v = -0.1 + y. Let i be (42\/(-12) - -4) + (-18)\/(-4). Which is the closest to 2?  (a) v  (b) -4  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 193*g - 190*g + 27 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = 3*d**2 + 62038*d. Let p(s) = 1621*s. Determine p(j(x)).\nAnswer: 4863*x**2 + 100563598*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 781008 is divided by 403.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from zzrzrrrrrzzzzrrzzzrz?\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 7 and 326090?\nAnswer: 2282630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 42482 (base 10) to base 2.\nAnswer: 1010010111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -27\/2*z**4 - 12\/7*z**2 + 0*z - 28 + 21\/5*z**5 + 60\/7*z**3. Let q(j) = 0. Calculate j.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 405 minutes after 12:41 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*r + 755 - 402 = -179. Suppose -i + 4*z = -57, i - 3*z + 4*z - 82 = 0. What is the least common multiple of i and r?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1932 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -33 and 63557388.78?\nAnswer: 63557421.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s**3 + s**3 - s**3 + (-s**2 + 1 - 1)*(-13*s + 34*s - 8*s))*(16 - 1 - 1).\nAnswer: -140*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1339609*p*y**3 + p*y**2 + 4844*p*y + 36*y**2 wrt y?\nAnswer: -8037654*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 262*z + 2*z**3 + 2728 + 214*z - 476*z + z**2 - z**3 - z**2 + (z**2 - 2 + 2)*(z + z + 0*z).\nAnswer: 3*z**3 + 2728","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -23*l + 19. Is p(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 15*g**2. Let o(i) be the third derivative of i**5\/20 - 32*i**2. Give v(o(x)).\nAnswer: 135*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the first derivative of g**3\/3 - 5*g**2\/2 - 5*g + 15. Determine i(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 57626, 59036, 60444, 61850, 63254?\n\"Answer: -a**2 + 1413*a + 56214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 165, 165, 157, 135, 93, 25, -75, -213?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 77*u - 63*u + u**3 - 47*u as x*u + q*u**2 + r + g*u**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, 38, 64, 110, 182, 286, 428?\nAnswer: 614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yt when two letters picked without replacement from oytodsa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 14*s**3 - 3*s**2 - 3*s + 333. Let f(b) = -37*b**3 + 8*b**2 + 8*b - 999. What is -3*f(r) - 8*l(r)?\nAnswer: -r**3 + 333","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*c - 100 - 770 = 0 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g**3 + 27647*g**2 - 1107080*g + 11074800 = 0. Calculate g.\nAnswer: -27687, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 2)*(-67*f + 923 - 923 + (-f - f + 4*f)*(2 + 1 - 1)).\nAnswer: -63*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -18*y + 73. Let u(r) = 38*r - 146. Let a(s) = -11*q(s) - 6*u(s). What are the prime factors of a(-5)?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 111 - 63. Suppose w - o = 58. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 + 0 - (-5 + -1)) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15068 divided by 283.\nAnswer: -15068\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -116 + 22. Let w = t - -92. Which is the nearest to w?  (a) 2\/9  (b) -0.4  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -41 + 50. Let k be 33\/y + (-2)\/(-6). What is the units digit of ((-6)\/k)\/(((-4)\/2)\/36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-1)\/1 - -4) + 1. Let t(d) = 6*d + 2. Let w be t(g). Calculate the greatest common divisor of 65 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/6 and 33\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3620638000 rounded to the nearest 1000000?\nAnswer: 3621000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + (1 + sqrt(275))*5*-2)*-4)**2.\nAnswer: 12800*sqrt(11) + 441024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -12 - -29. Let m(l) = 2*l**2 + 6*l - 23. Let f be 19\/(-38) + 17\/(-2). Let w be m(f). Calculate the greatest common divisor of w and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-336)\/(-20))\/(4\/19 + (-45806)\/(-117610))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-14\/11))**(-9) assuming u is positive.\nAnswer: u**(126\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 - 15180*x - 4157375. Determine u(-279).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6 - 11. Let a = -1.5 + 6. Let y = a + u. What is the nearest to 0.1 in -0.1, 2\/15, y?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r - 7. Let o be s(-5). Let j be 67 - 1*(3 - 5). Let n = 72 - j. Solve -n*y + o*b = -6, y + y - 4*b = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1467 + 2487. Let u = 5153\/5 - m. Is 10 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 43 - 40. Suppose 0*f + m = -f + 154, k*m - 156 = -f. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c - 15 = -5*d, -3*c - 3 = 95*d - 96*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1706?\nAnswer: 2, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -116 + 127. Let o = -9 + t. Which is the nearest to o?  (a) 2  (b) -1\/4  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 + -4a9?\nAnswer: -4aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 85\/3 - 941\/33. Let f = -3 + 5. Suppose -j + f = 1. Is i less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 - -5. Suppose i + 4 = d*i. Suppose i*u - 80 = -2*p, 3*p - 40 = -0*u - 2*u. Solve -6*r + r = -u for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.15 * 2.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (50*t**2 + 30*t**2 - 105*t**2)*(-2*t + 6*t + 25 - 20).\nAnswer: -100*t**3 - 125*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 53 + (-1 + -3)\/4. Find the third derivative of -30*n**3 - 24*n**2 + s*n**2 - 3*n**2 wrt n.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 404.6 + -402.773. Round v to 1 dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6753 - 6561. Which is the nearest to -3?  (a) -1\/7  (b) -2\/9  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + -1. Let j be 4\/(-6)*(-48)\/(-64)*0. Which is the nearest to 2?  (a) 0.2  (b) j  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/4 of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cdb. Give prob of sequence bcd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1*17\/4 - ((-1072)\/(-64) + -17)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1140)\/(-2223)*(-30)\/20.\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*i**3 - 24*i + 24*i - 157*i**3.\nAnswer: -231*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (4 - 11) - (20 + 13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -21, -3\/4, -2, 2.\nAnswer: -21, -2, -3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + t + 8, -2*v = t - 6 - 1. Which is the nearest to 5?  (a) 1\/8  (b) 2\/13  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -135587*f + 135647*f. Factor 2*c**2 + 7\/4*c + 1\/4*c**3 + f.\nAnswer: c*(c + 1)*(c + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of y**5 + 57*y**3 - 1839*y wrt y?\nAnswer: 20*y**3 + 342*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**6)**(-1\/37) assuming n is positive.\nAnswer: n**(-6\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 + 4*y - 47. What is r(14)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4776256690 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kj when two letters picked without replacement from kkjjk.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4 + 19. Suppose -f - 6*t + 45 = -2*t, f - 2*t = o. What is the remainder when f is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(13) + (sqrt(13)*-1 + sqrt(13))*6.\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 6. Let h(c) be the first derivative of 475*c**2\/2 + 5. Let t be h(j). What is t rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-549)\/(-189) + (-4)\/(-42). Let o(f) = -f + 2. Let h(b) = b - 3. Suppose g = 4*g - 12. Determine c*h(j) + g*o(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33064387?\nAnswer: 109, 163, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uuul when four letters picked without replacement from ulullllullullulmu.\nAnswer: 5\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) 0.5  (c) 4.12  (d) 1\/16  (e) 2\/13  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**3 + 19*l**3 - l**3.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -2*n**2 + 19*n + 5. Calculate the remainder when 50 is divided by v(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(154) - (-2*sqrt(154) + sqrt(154)))\/sqrt(7))\/(sqrt(99)*-4).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of 8*x**3\/3 - x**2 - 7*x + 5. List the prime factors of a(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -628, -618, -606, -592, -576?\n\"Answer: r**2 + 7*r - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 - 8*v**2 + 8*v + 2. Let q(x) = -x**2 + 2*x + 38. Let n be q(-6). What are the prime factors of b(n)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.540167 and 0.1.\nAnswer: -0.0540167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 83314608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 9*p**2 - 5*p - 12. Is h(-5) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h**5 + 444*h**4 - 8952*h**3 + 51848*h**2 + 37884*h - 631620 = 0. Calculate h.\nAnswer: -3, 5, 11, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xdxx when four letters picked without replacement from xdxddxdddddd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (259\/(-74)*4\/(-21))\/(6 + -1). Let k = 2 + -7\/5. What is the second smallest value in k, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12*b**3 + 13*b**2 + 23*b**2 - 58*b**2 + 14*b**2 + 134*b wrt b?\nAnswer: -72*b - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 75264682?\nAnswer: 2, 5501, 6841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 + 1. Let y = 3.2 - f. Let p = 0.02385 - -0.67615. Which is the second biggest value?  (a) p  (b) y  (c) -0.5  (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -44*c + 55*c - 77. Solve -c*x - 11 = -11 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (5\/(-7))\/(25 + 1316\/(-56)). What is the closest to 4\/7 in j, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 2*m = 46, -8*m - 259 + 62 - 13 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(-6)*16\/(-8)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000062291027 rounded to 7 dps?\nAnswer: -0.0000623","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-3 + 4 + -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/31, 2, 5, 1\/3, -3.9, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.7 and 334.068.\nAnswer: -567.9156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1737, 6998, 15765, 28032, 43793, 63042, 85773?\nAnswer: 111980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 239734004 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 (base 10) in base 12?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.4, -3\/8, 6\/5, 4, 3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 389031233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 40*o**2 + 2 - 5 + 2*o**3 - 44*o**2 to n*o**2 + i + m*o + w*o**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11 + -1002010122?\nAnswer: -1002010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-16)\/(-10))\/((-8)\/(-15940)). Suppose y = -2*p + p. Let g = 4658 + p. What is g rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/12)\/(374\/(-66))\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 385 - 384. Suppose -2*g = -2*w + 18, 2*g = -2*w + t + 9. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 + (-610)\/(-15))\/(12\/270). Let q = -867 + t. Solve 3*v + 4*p = 23, -2*v + q*v - 26 = -5*p for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*i**4 + 0*i**4 + 3*i**4 + (-3 + 3 + i**2)*(3*i**2 - 4*i**2 - 3*i**2) + 2*i + 2*i**4 - 2*i.\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of w**5\/20 - w**4\/12 + w**3\/2 + 4*w**2 + 28*w. Calculate the lowest common multiple of c(0) and 28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7326 is divided by 229?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1088 + 384*y - 1129*y + 246 + 356*y + 385*y.\nAnswer: -4*y + 1334","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2\/5 + 33*q\/5.\nAnswer: -q*(q - 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*(-42)\/(-216)*9)\/((10\/32)\/5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*f - 10 = 40 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -2*k - 6, -k - 10 = 4*v - 18. Suppose -v = 240*d - 242*d. Which is bigger: d or -1\/18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3 - (19 - 29)) + (-6 - -2) + 25.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 + 233*p**4 - 114*p**4 - 112*p**4 + 3*p**3 - 5*p**3 + p to k*p**3 + v + u*p + g*p**2 + c*p**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 15) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 - 122 = -8*p. Calculate the lowest common multiple of p and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 0 - 24?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 2\/7  (b) -27  (c) 1  (d) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 83297 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 t and 1 d when four letters picked without replacement from ddtttd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/(2 + 0) - 2. Let q be 8 - (-5)\/((-5)\/p). Suppose 0 = f + 2*f - q. Solve 0 = 2*a - a - f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 22 - 6 = 0. Let v be (19\/4)\/(2\/b). Suppose 0*k = -2*k + v. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(112) + sqrt(112) + sqrt(112) + 2 + 4 + sqrt(112) - sqrt(112))*3)**2.\nAnswer: 20736*sqrt(7) + 150336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k - 2*k - 2 + 4*k - 5. Determine x(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -k**3*p**3*q - 6*k**3*p + 8*k**2*p**2*q - 388*k*p**3*q - 3*k*p*q - 3 wrt p.\nAnswer: -6*k**3*q - 2328*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*k + 5*k + 29 = -3*g, -3 = 159*g - 158*g - 2*k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1562909442?\nAnswer: 2, 3, 659, 395273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -p - 226 - 76, -3*p = -5*i + 886. Let r = 293 + p. Solve r = -5*d + 6, 5 = x + 4*d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 54 + -61.2. Let l = 2.2 + w. Which is the nearest to 2?  (a) 0.1  (b) 0.2  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 minutes before 4:37 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 99779, 200825, 301871?\n\"Answer: 101046*b - 1267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-12)*3*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*(sqrt(98) + sqrt(98) + sqrt(98) + 0 + 0) - (5 + 2*sqrt(98) + sqrt(98) - (3 + sqrt(98)*-1)))**2.\nAnswer: 280*sqrt(2) + 9804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -0.3  (c) -2905\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-48 - -49) - (1 - 0 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 2. Let x be q(0). Let n be 1 - x\/(-4)*6. Let s be (-14)\/6 - 4\/6. Is n != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lx when two letters picked without replacement from {x: 5, l: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 150104.097s in days?\nAnswer: 1.7373159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -6, 2\/5, 3879, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i. Let p be 6\/(0 - (-9)\/12). Suppose -a - p + 0 = 0. Let q(d) = 3*d. Suppose r = 5*x + 9 + 1, 5*r = 5*x - 10. Determine a*u(n) + x*q(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -21, -5, -11\/3, 0.06, 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2202 - -1.2202. Let q = -2 + 2.5. Let p(l) = l**3 - 2*l**2 - 4*l + 3. Let f be p(3). Which is the nearest to f?  (a) z  (b) 2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-435)\/(-60) - 7)\/((-3)\/(-10)). Sort i, 1\/5, -6 in descending order.\nAnswer: i, 1\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 83*s + 16*s - 2232 = -25*s for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 47*l**4 - 2*l**3 + 198*l**2 - 4*l?\nAnswer: 1128*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/((n*n*n**37*n)\/n))\/n*n\/n**(4\/11))\/(n**(-5)*n*n\/n**(-23\/2)*n*n*n) assuming n is positive.\nAnswer: n**(-1097\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11120230 (base 5) to base 13.\nAnswer: 35901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a + 5*j - 43664, 5338 - 38048 = -3*a + j. What are the prime factors of a?\nAnswer: 2, 7, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 11 + 1\/((-4)\/8). Let j be (-6)\/(-18)*(c + 0). Suppose -q + 3 + 1 = 0, s - j*q = -13. What is the nearest to s in -3, 2, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -1 + 0*i**2 + 8*i - 2*i + i**2. Suppose -3*t = 4*m + 34, -m - 5 = 5*t + 12. Determine d(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -166.\nAnswer: 49.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*g = -g + 33. Let x be g\/(-4) + (-3)\/(-8)*-2. Solve -2 = 2*d - 2*f, -5*d - f - 29 = -x*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vrr when three letters picked without replacement from {r: 2, v: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*a - 3 = -15. Suppose 5*m + 10 = 5*h, 0*m + 4 = a*m + 2*h. Solve p + 2*p = m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 262 divide 61832000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4608665915 to the power of 1\/3, to the nearest integer?\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5 or -163\/9716?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.2, -2\/7, -3, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 36 - 49 - 5.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 77 + -77.97. Let d = 0.72 + n. What is d rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -101 + 88 + (63 - 2) + -14 + 16?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 102 and 68?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1059\/1883 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/(-4)*(-175)\/1050)\/(-1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, r: 2}. Give prob of picking 1 t and 1 r.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + 3*u = 0, 4*u = -0*o - 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 15 + 25. Let k be 594\/15 - -4*4\/40. Calculate the greatest common factor of s and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + 94 + (-3)\/(-12)*-8. What is the highest common factor of x and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*v - 22*v**2 - 7*v**2 + 8*v.\nAnswer: -29*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 20\/(-12) + 24\/36. Which is the third smallest value?  (a) q  (b) -1\/2  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 290 is divided by 45.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, d: 4, u: 3}. What is prob of picking 2 d?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of p**5\/60 - p**4\/3 - p**3\/2 + p**2 + p. Let m(n) be the first derivative of f(n). What is m(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 62 = -3*a - 55, -5*m = 3*a - 211. What is the greatest common divisor of 41 and m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - (6 - 16) - (-18 + 10).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 12304 and 2932966?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 132 minutes before 8:27 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 + 0)*(-3)\/6. Let d be 3 + s\/(20\/4). Suppose 2*y = d*q - 397, -755 + 249 = -4*q - 2*y. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -268 divided by -67\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 779 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of t**5\/30 - 7*t**4\/12 - t**3\/3 - 16*t**2 - 2*t + 40. Give c(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + d = -21, 3*n + 15 = 4*n - 5*d. Suppose -n = -2*i - 3*i. Suppose i*p - 115 = -3*p. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 70 + -73.1. Let b = 1.4 + n. Let p = 1.5 + b. Is p less than or equal to -2\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 12:30 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = 3*y**2 - 3*y - 6. Suppose h = 1 - 3. Let o be (-5 - -9)\/(1 + h). Let l(w) = -8*w**2 + 10*w + 18. Let i(p) = o*l(p) - 11*k(p). What is i(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 36 and 98.\nAnswer: 3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (6\/9)\/(9\/(253 + -10)). Factor 162\/5*d**4 + 0 + v*d**3 + 8\/5*d - 64\/5*d**2.\nAnswer: 2*d*(d + 1)*(9*d - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*i + i + 3*i)*(-111*i - 25*i + 53*i)*(-3*i**3 + 3*i**3 - 2*i**3).\nAnswer: -332*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 5:20 PM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1294 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1705380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-4\/7)\/j**(1\/7))**(-34) assuming j is positive.\nAnswer: j**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26244231.\nAnswer: 3, 13, 89, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b + 3. Let s(r) = -156*r + 73. Let g(w) = 4*n(w) + s(w). Does 21 divide g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c - 11. Let u be n(6). Put -1, u, -3 in ascending order.\nAnswer: u, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -11.43 - -0.43. Let d = -0.02 - 0.18. Is b at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -38 + -32447?\nAnswer: -32485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 7 = 5*y. What is the second smallest value in 0.4, -1, -3, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f + 8. Suppose g - 2*r - 10 = -3, -3*g + 24 = -5*r. Suppose g*z + 28 = 9*z. Calculate n(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21344943 to the nearest 100000.\nAnswer: 21300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -174 + 164. Let c(p) = -p**3 - 10*p**2 + 23. Let q be c(o). Let f be 9\/(2\/46*1). What is the greatest common factor of q and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8623319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*k**2 - 5*k**2 + 2*k**2)*(21*k**2 - 21*k**2 + 7*k**3) + 2*k**5 - 3*k**5 - k**5.\nAnswer: 5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 1\/4, -63\/5, 2, -2?\nAnswer: -63\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1454 a factor of 44762844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000078 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 4*n = -4, 3*i - 3*n = -3 - 0. Suppose -2*p + 4 = -i. Let t be p\/3 + (-2)\/12. Which is the second biggest value?  (a) -0.1  (b) t  (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/815977 + -1867771327\/10607701. Let c = -175 - h. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -12 or 1570112\/5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1040573.02 and 1?\nAnswer: -1040573.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 360 + -1383. Let l = 323 + -627. Let o = l - j. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 0.8, 2, 0, -155, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -11*p. Let u(a) be the first derivative of -a**5\/120 - 7*a**3\/3 + 13. Let v(c) be the third derivative of u(c). What is b(v(h))?\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 7*v**3 - 36*v**2 - 9*v + 145. Let t(s) = -3*s**3 + 18*s**2 + 4*s - 69. Determine 9*t(p) + 4*z(p).\nAnswer: p**3 + 18*p**2 - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -3*l**3 + 2*l**2. Let n(a) = -5*a**3 + 3*a**2 - 980*a. Calculate 2*n(x) - 4*w(x).\nAnswer: 2*x**3 - 2*x**2 - 1960*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -16297?\nAnswer: 16295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*v**2 + 2*v**3 + 2*v**2 - v**3 - 2 - 15*v**3 in the form a*v**3 + q*v**2 + f*v + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 58073 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 5, -4, -27, -70, -139?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15220477?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 16263 (base 9) to base 6\nAnswer: 123350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 72954 and 403893.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 14) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -35*v - 292*v - 92*v + 8799 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((sqrt(26)\/(sqrt(2) + sqrt(800) + sqrt(2)) - ((-1 + sqrt(13) - sqrt(13))*4 + -1))*4)**2.\nAnswer: 80*sqrt(13)\/11 + 48210\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + -5 + (sqrt(2299) - (3*sqrt(2299) + 1)) + 1)*-4)**2*-3.\nAnswer: -441456 - 2112*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l*l**1*l)**(2\/17))**(-1\/2)*(((l\/(l\/(l*(l\/(l**(1\/2)*l))\/l*l)))\/l)\/l*l*l)**(6\/25)*l*l\/(l*(l*l**(1\/4))\/l*l)*l*l*l**(-3\/7) assuming l is positive.\nAnswer: l**(15053\/11900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 24\/(-15)*(-27 - 3). Calculate the greatest common divisor of p and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 - 11865*t**2 - 35660*t + 47520.\nAnswer: 5*(t - 2376)*(t - 1)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -5697167 times 0.26?\nAnswer: -1481263.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 6. Suppose 2*j = -0*j + g. Suppose 8 = j*v - 0. What is the smallest common multiple of v and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11672769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-91)\/65)\/(16\/160) - 322\/(-26)?\nAnswer: -21\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add -852 and -86.513586265.\nAnswer: -938.513586265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000474696 rounded to seven dps?\nAnswer: 0.0000475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-273)\/1001*44\/(-6))\/((-2)\/11).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1488.024km in centimeters?\nAnswer: 148802400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -2*w**2 - 37*w + 20. Determine q(-19).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -441 = -4*u - 417 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, m: 14}. Give prob of picking 2 m.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 13bcdd (base 14) in base 12?\nAnswer: 290a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != -1\/1723005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is -1424 at most -1431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*i - 5952 = 3*i. Let c = i + 228. What is the greatest common factor of c and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n - 6. Let z be l(-6). Suppose 0*s + 2*s - 32 = z. Let b = s + -9. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.093227101 rounded to 3 dps?\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 10 - 13 + 5*u + 7 - u**2. Let d be s(-5). Let j = 68 + d. What is the remainder when 43 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((c\/c**(4\/3))\/c)\/c)\/c)**(-24))**(3\/26))**(-38) assuming c is positive.\nAnswer: c**(-4560\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 33, 0, -2, 109 in decreasing order.\nAnswer: 109, 33, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 4*j = -5*w + 10, -j = -w + 2. Suppose r - w = -6, 3*c = 2*r - 1. What are the prime factors of c\/(-6) - 57\/(-6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 9\/4, 0.043 in increasing order.\nAnswer: -0.3, 0.043, 9\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the first derivative of h**2\/2 + 21. Suppose v - 3 - 1 = 0. Let g(l) = 0*l + l - v*l. Give f(g(u)).\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*u = -6, -28*u = 3*q - 25*u + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-9)\/(-120))\/(71*(-408)\/(-77248))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -114480 divided by -5724?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 420, 80, 0 in descending order.\nAnswer: 420, 80, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**2 + s + 9. Let j(i) = -5. Let u(k) = -5*j(k) - 3*z(k). What is u(3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*n = 7*w - 35, 38692 - 38699 = -3*w - 5*n for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 (base 15) in base 7?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a*a**(1\/4)*a)\/(a*a**(-19)))**(-5) assuming a is positive.\nAnswer: a**(-425\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 252\/25 + -11 + (-4)\/50. Let d(x) = 20*x**3 - 15*x + 15. Let y(l) = l**3 - l + 1. Give t*d(i) + 15*y(i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9397?\nAnswer: 9397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the third derivative of -n**7\/525 + n**6\/5 + 63*n**5\/50 + 3485*n**2. Factor i(c).\nAnswer: -2*c**2*(c - 63)*(c + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21001202 + 1122202121?\nAnswer: 1101200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from dlslslsllswlwdlsllld?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, p: 1, t: 5}. Give prob of sequence tpt.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1 and 123552?\nAnswer: 123553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 5*x**5 - 430*x**4 + 835*x**3 + 430*x**2 - 840*x = 0.\nAnswer: -1, 0, 1, 2, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -691440 divided by 2580?\nAnswer: -268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 14\/366*((-77367)\/(-777) + -97)\nAnswer: 6\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1121 times 0.08165?\nAnswer: -0.009152965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b. Let z(t) = -4*t - 1. Let q(r) = 4*g(r) - z(r). Suppose -3*h - 20 = -m - 5, -3*m = -3*h - 21. Is q(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/1*(1\/(-1))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.013 + -1.013. Which is the second smallest value?  (a) -0.1  (b) y  (c) -12  (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -4*h + 12, -5*h + 4*m = -0*h - 16. Solve 0 = 4*o - 3*o - 5*c + 21, -o = -h*c + 17 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 217672 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1810 and 388607.\nAnswer: 3886070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of -t**6\/60 + 11*t**5\/30 - 13*t**4\/4 + 15*t**3 + 946*t**2 - t. Factor m(v).\nAnswer: -2*(v - 5)*(v - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13849 is divided by 149?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 224 divide 46385024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: -298 (base 10) to base 8\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.11 + 0.51. Let b = -0.069 + -0.241. Let z = b + 0.31. Sort -0.1, j, -0.3, z in ascending order.\nAnswer: -0.3, -0.1, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) be the second derivative of -w**5\/80 - 17*w**4\/24 - 81*w**3\/8 - 225*w**2\/4 - 827*w. Let c(s) = 0. What is s?\nAnswer: -25, -6, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8787750 divided by -30\nAnswer: 292925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i + i = -3*h - 26, -5*i - 3*h + 12 = 58 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 198752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -42\/13*p - 16\/13*p**2 - 2\/13*p**3 - 36\/13 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3171 - -3247. Calculate the lowest common multiple of 44 and x.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 42, 21, 4, -37 in decreasing order.\nAnswer: 42, 21, 4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -2*l**3 - 7*l**2 - 2*l - 48. Let k be u(-8). Let g be -2 - k\/(-88) - 4\/22. Let z = -2 - 0. Which is the third smallest value?  (a) z  (b) g  (c) -0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -169*d - 53. Let l be c(-25). Let w = 9347 - l. Suppose 6*b + 969 = w. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 30161 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 + 64 = 10*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 402 and 181270175?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 37 = -5*t + 8, 5*t - 33 = 2*r. Let n(m) be the third derivative of -m**4\/8 - 5*m**3\/6 + m**2. Give n(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 3*i. Suppose -3*n - 4*b - 11 = -0*b, -3*n + b = -14. Suppose -n*t - g = -2*t - 1643, -g - 3 = 0. Let m(r) = 5*r - t + 1646. Give m(u(y)).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 382 divided by -559\nAnswer: -382\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -555 - -391. Let t(n) = 19*n + 7. Let k be t(-6). Let v = k - m. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-1 - 1 - (0 - 3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 1\/5373  (b) 9  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -8*z**2 + z + 1. Let y be w(-1). Let h(i) be the third derivative of -i**5\/60 - i**4\/3 - i**3\/3 - 27*i**2. What is h(y)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + 2*j - 2 + (0 + 0 + 1)*(-2 + 2 + 2*j) - 5 + 5 + j - j + 4*j + j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - (-4 + 7 - 2)) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/7)\/(-2))\/(161\/(-1127))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000011883 to seven dps.\nAnswer: -0.0000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*b + 92 - 9 = -l + 2*l, 65 = -360*b + 365*b + 5*l for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 2*f + 48, 0 = t - 2*f - 0*f. Let d be t\/20 + (-266)\/10. Let w be 128\/9 + 6\/d. Calculate the greatest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/5, 13.882, -5, 0.3, 2\/21 in ascending order.\nAnswer: -5, 2\/21, 0.3, 3\/5, 13.882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 290315 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.328 in 2, 5\/109, 0.09?\nAnswer: 5\/109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1028493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -224 + 34 + y + y**4 + 0*y + 4*y**3 - 79 - 59 + y**2 to b*y**4 + f + n*y**2 + o*y**3 + h*y and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 - -33. Suppose 5*m - m = 4*z + 56, -3*m = 3*z - 18. What is the lowest common multiple of p and m?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 283.28 + -249. Let x = p + -34. Let a = -0.279992 + x. Round a to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 263\/4*f**2 + 305\/4*f**3 + 3\/2 + 75\/4*f**4 + 71\/4*f = 0. Calculate f.\nAnswer: -3, -2\/3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2409*l**2 + 2407*l**2 - 4853*l**2. Let a(v) = 9*v - 7. Let o(b) = 5*b - 4. Let z(c) = 4*a(c) - 7*o(c). Determine z(s(g)).\nAnswer: -37*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*w + 2*u, 0 = 4*w + w - 2*u - 21. Let r be -1*w\/(-1) + -2. Suppose 104 = 25*d + 4. Solve -d = -r*f + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 6 + 2 = 0. What is the closest to s in -2\/7, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 172?  (a) -2  (b) 0  (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-127)\/(-5 - (3 - 9)). Let d = -11 - t. Calculate the greatest common factor of d and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5258 * -1002.\nAnswer: 5268516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**2\/5 + 1173168*a\/5 + 172040394528\/5 = 0. What is a?\nAnswer: -293292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g = -3*h + 3*g - 6, 5*h = 6*g + 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = g**3 - 20*g**2 + 96*g + 2. Determine w(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-34*(-4 - 133))\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -3*m + 3286 - 534, m = 5*c - 13808. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -217, -275, -335, -397, -461?\nAnswer: -527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 91 and 539?\nAnswer: 7007","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3604 + -5904. Round v to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -123*f - 4484 - 7782 + 3410 for f.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14085 = -1309*d - 655*d + 25195 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -154.3333349 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 346\/58 - (-291 + 295)\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*s + 20 = -2*v + 4, 0 = 5*v - 3*s + 21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 727 - 727 + 2*f - 145968*f**2 - 2*f.\nAnswer: -145968*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 114772 + -5027?\nAnswer: 107743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) be the third derivative of q**6\/120 + q**5\/6 - q**4\/24 + q**3 + q**2. Let i be g(-10). Let c = i - -4. Solve 5 + 11 = -5*f + 3*y, c = -5*f + 5*y for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 34 - 30. Suppose -w + p*w = -w. Solve -3 = -w*g + g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h = l - 24, -3*h + 6*h + 5*l - 32 = 0. Suppose -7*g + 4*q + 812 = -3*g, -h*q = -20. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - ((24 + -3 - 18) + 0 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 4*y + 3. Suppose s - 19 = -17. Suppose s*w = -59 + 91. Solve w = -3*x + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5*(-1)\/1 - 2. Let l = -2 + m. Find the common denominator of 67\/6 and 49\/(-20) + l\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.04 - 3.96. Let t be 1\/2 + 3\/(-14). Let z = 251\/204 + 1\/51. What is the nearest to -1 in z, u, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -332 (base 7) to base 12.\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*b - 17*b + 66. Suppose -b*g + 344 = -4*g. Is 25 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 4)*(595 - 595 - 130*s)*(-5 - 4*s + 3 + 4).\nAnswer: 1040*s**2 - 520*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y - 3*y + 531. Suppose 0*d = 27*d + 2673. Let r = d + y. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -19*d**2*g*q + 3*d**2*q + 1891*d**2*z**2 - 2*d*g*q*z**2 - 4*d*g*z**2 - 22*d*g*z + 6*d*q*z + 2*g*q*z**2 wrt d?\nAnswer: -38*g*q + 6*q + 3782*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z**2 - 8744127*z = 0. Calculate z.\nAnswer: -8744127, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 74 + -76.9. Let o = 2.90000179 + h. What is o rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3282, 3286, 3290, 3294?\nAnswer: 3298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 371*d = -286*d + 129*d + 11135 + 4705 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 839206 > 12588076\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.0217246 to 2 dps.\nAnswer: 2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 942.1515 meters to millimeters.\nAnswer: 942151.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + -4. Let d = s + 1.5. Let n = 753 - 751. Which is the nearest to 0.1?  (a) d  (b) n  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**2 + 2912225*a - 11648820.\nAnswer: -5*(a - 582441)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2178005427.\nAnswer: 3, 13, 43, 47, 61, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {s: 1, p: 5, c: 3}?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -781c - -10?\nAnswer: -780c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2990936?\nAnswer: 2, 13, 28759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.09 * 1.8233.\nAnswer: -0.164097","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of 5922184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 - 11. What is the remainder when 15 is divided by ((-138)\/k - 0) + 6\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*d**2 - 3*d**2 + 2*d**2 - 2*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) - 3*sqrt(252))*1)*-6)\/(6*3*sqrt(900)*3).\nAnswer: -sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 12:59 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.052 and 33.\nAnswer: 1.716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8 + 11 - 1)*(0 - 2 + 0)*(-3 + 3 + 2*w).\nAnswer: -72*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l - 7 + 1. Suppose y - 2845 = 2*a, 3*a - a - l*y = -2850. What is a rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/3 - 16\/3.\nAnswer: (x - 4)*(x + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 48125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 2 + 637*x - 944*x - 984*x in the form i*x + b and give i.\nAnswer: -1291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 31. Let t(h) = -h**2 + 1. Let p(d) = b(d) - 2*t(d). Let y = 7 + 8. What is the remainder when p(0) is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/80 and -7\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-5\/7)*z*z**0 assuming z is positive.\nAnswer: z**(2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -246705, -493411, -740117, -986823, -1233529, -1480235?\nAnswer: -1726941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1906 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/7*(-4116)\/1568\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = h - 132. What is the units digit of (39*-2)\/(h\/(-22))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes after 1:41 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -369.92 + 366. Let w = q - -3.62. Let f = -6 - -10. What is the smallest value in w, 21, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 7*x - 9. Calculate n(7).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 11:55 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, c: 1, n: 2, u: 1, e: 6}. What is prob of sequence nn?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*t**2 + t**2 - 5*t**2 + 0 - t**2 + 0 + (t + t - t)*(2*t + 0*t - 4*t) + 0*t**2 - 2*t**2 + 0*t**2 + 23*t**2 - 68*t + 23*t**2 - 47*t**2.\nAnswer: -8*t**2 - 68*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 - 31. Let d be (0 - -1) + c\/(-1). Let t = -3 + d. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:32 PM and 11:49 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 64715 and 185115.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -8*n. Suppose 4*k + 15 = -z - 10, 5*k + 56 = -4*z. What is the tens digit of b(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - -108?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 42, 9, 3\/74, 1, -131 in decreasing order.\nAnswer: 42, 9, 1, 3\/74, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24467 is divided by 563.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0*(-2)\/(-4) - -4. Suppose 5849985 = a + y*a - 3*p, -3*a + 3510020 = 4*p. What is a rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = 3*w - 16, -4*w = o - 4*o + 87. Suppose 0*q = 5*y + 4*q - o, -5*y + 5*q = 20. Which is the closest to -0.4?  (a) 0  (b) y  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 4*y + 66. Let t be n(24). Calculate the highest common factor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3358760?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -1344666, -1344668, -1344670?\n\"Answer: -2*o - 1344664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 178 - 175. Let l be (-1 - -6) + 2\/(-2). Determine x so that -13*x**p - 2*x**5 + x**3 + 8*x**l + 8*x**2 + 1 - 2*x - 1 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 5 - 4 + (-6 + 1 + 3)*(2 - 4 + 0))*(2*v + 5*v - v)*(5 - 5 + 1) to the form o*v + s and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 246*d - 50*d - 455*d.\nAnswer: -259*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 6) to base 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - 3)\/(-1)*(-2)\/(-2). Is 37\/26 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 3*l - 26. Calculate the remainder when 15 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/4)\/(1*10\/(-70))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*s - 1127 - 413 = 0. Suppose 129*f = 136*f - s. Calculate the highest common factor of 121 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2296 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:24 PM and 6:15 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -3*h**2 + 1. Let q be l(-2). Let v = -2 - q. Suppose -5*w - 121 = -s - 612, -3*s - 87 = -w. Calculate the greatest common divisor of w and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v - 1. Suppose -2*k + 88*c - 86*c + 16 = 0, -6 = k + c. Let q(o) = -5*o - 3. Calculate k*q(z) - 2*x(z).\nAnswer: -3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 r when three letters picked without replacement from yrhrwyrrrrywrrrhwrw.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*n**4 + 100*n + 18*n**4 - 92*n**3 + 47*n**3 - 80*n**2 + 5*n**5 - 3*n**4 = 0. Calculate n.\nAnswer: -5, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1829 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -408948, -1635793, -3680534, -6543171, -10223704, -14722133?\nAnswer: -20038458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 + 111110101111?\nAnswer: 111110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the first derivative of 179*c**3\/3 - 7*c**2 + 29*c + 196. What is the units digit of a(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.3, 5, -4, -2276\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 5*t - 3 + 5 - 1 - 3 as h*t + v and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5840 is divided by 5802.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*q + q - 5*q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-75)*15\/8\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.41*-1.6.\nAnswer: -0.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 15 + -11. Suppose -3*m + 1518 = q*u, 3*u + u - 2522 = -5*m. Suppose -4470 = -4*f + m. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**2 - 7*n + 1. Let y be a(-5). Suppose y - 3 = t - 4*j, -2*t - j = -7. Suppose 3*x + 2 = -2*m + 61, 89 = 3*m + t*x. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 58018008 divided by 86?\nAnswer: 674628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = d**3 + 11*d**2 - 26*d - 8. Determine y(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.257 times -37974?\nAnswer: -427473.318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9510029*t*y - 12*t - 264345 wrt y.\nAnswer: -9510029*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**15\/d*d*d*d)\/d)**50*d**(1\/8)*d*d**(4\/13)\/d*d assuming d is positive.\nAnswer: d**(88549\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + 0 + 1 + 0. Suppose -2*q - 4*y = -0*y - 8, -g*q + 6 = 2*y. Find the first derivative of 4 - l**2 - q + 0 wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*h - 19 = -3*y - 8, 0 = -4*h + 5*y - 29 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1306.4194878 to 2 decimal places.\nAnswer: -1306.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 55, -30, -173, -374, -633?\n\"Answer: -29*m**2 + 2*m + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + sqrt(1900) - sqrt(1900) - sqrt(1900))*2 - (4 + (sqrt(1900) + 0)**2)) + 4*((sqrt(1900) + 0)**2 + sqrt(1900) + 3).\nAnswer: 20*sqrt(19) + 5708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3\/4  (b) -0.4  (c) -5\/4  (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40947 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z**2 - z**2 + 0*z**2 + (-8 + 6 + z + 0*z)*(z + 0*z - 3*z).\nAnswer: -5*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1573) + 1 - sqrt(13)) + -4 - (sqrt(78)\/sqrt(54) + 5 + sqrt(13) + 1).\nAnswer: -9 + 26*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 6:39 AM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1189 a factor of 20127522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 572 is divided by 49.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2511801 and 443259.\nAnswer: 7535403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**3 + 0*q**3 - 2*q**3)*(2 - 2 - q) + 49*q**4 - 27*q**4 + 26*q**4 + 4*q**4 + q**4 - 3*q**4.\nAnswer: 51*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3379124 or -3379127?\nAnswer: -3379127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h**2 + 4*h + 7. Let w be j(5). Suppose w*f = 4*f - 4. Suppose -f*x + 5 = -0*x + 3*z, x = -4*z + 5. Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 655 - -58. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sf when two letters picked without replacement from ssfssssffssff?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 5*s = 4. Solve -p - h + 23 = s*p, 5*h + 15 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m*m*m**(-2)))**23)**43*(m**1)**42*(m*m*m\/(m*m**(2\/5))*m)**42 assuming m is positive.\nAnswer: m**(756\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138 + 138 - 16*t**2 - 33*t**2.\nAnswer: -49*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -6*(-5)\/((-360)\/(-9))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.018 in 3, 1\/3, -1, -0.73?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = o**3 - 5*o - 1. Let t be d(-4). Let m be 12\/(-2)*t\/54. Solve 1 - 16 = m*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3509 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 PM and 3:03 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -2*q**3 - 11*q**2 - 6*q + 1. Let g be x(-5). Let c be 476\/52 + g\/(-39). Suppose 50 = 10*t - c*t. Is 5 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2344099 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 4, 3, -13\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -151186165*-0.2.\nAnswer: 30237233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**3 + 1349*q**2 + 129512*q + 1. Determine h(-90).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -86 = -2*j + 10. Let u be j\/28 - -1 - (-4)\/14. Which is the second biggest value?  (a) 1  (b) u  (c) -0.6  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 273 and 1496118?\nAnswer: 10472826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 13425 = 47*a - 51*a, 10751 = 4*r - a. List the prime factors of r.\nAnswer: 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 57 + -7. Calculate the remainder when r is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -2497927.\nAnswer: -3\/2497927","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12*((-2)\/(-15) + 22\/60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:33 AM and 10:56 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3340\/(-668) + (-1 - (-50 + 9))?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001488866777 rounded to seven decimal places?\nAnswer: -0.0000149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -189.74309 - 34936?\nAnswer: -35125.74309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 43\/12 and 139\/24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28 - -41. What is the greatest common divisor of 91 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -5*m + 75305, 4*m = 3*j + 8*m - 75304. What is j rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-24)\/54)\/(6*(-2)\/(-54)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -4, 2\/5, -4\/5, -46.896?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*b + 1768 - 589 - 591 - 588.\nAnswer: 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 2 = 0, -92163*f + 92168*f + 378 = 3*z + 49 for z.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = 4*h - 5 - 11, 0 = -2*z - 4*h + 8. Suppose z*g = 4 - 276. What is g rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-72)\/60)\/(3\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/14 + 3024\/1470)\/(-2)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*h + 2*u - 33*u - 25, -3*h + 2*u + 40 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11375 is divided by 11354?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1523.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3080aa (base 13) to base 8.\nAnswer: -4242113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -9*q**4\/5 - 57*q**3\/5 - 2*q**2 + 52*q\/5 + 24\/5 = 0. What is q?\nAnswer: -6, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 325 minutes before 3:26 AM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 100*w**2 - 11*w + 8. Let s(a) = -33*a**2 + 4*a - 3. Determine -4*g(m) - 11*s(m).\nAnswer: -37*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 29*j**3 - 26*j**3 + 2 - 1 as z*j**3 + y + p*j**2 + s*j and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1920373*i**3 + 6517411*i wrt i?\nAnswer: 11522238*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in u**2 - 6*u**2 - 8 + 6 + 3*u**2.\nAnswer: -2*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 159\/17 + 330\/221. Let n = 1\/78 - c. What is the common denominator of (292\/54)\/((-4)\/3) and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 633 - 5439.1.\nAnswer: -4806.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 + 5c2d?\nAnswer: 5c2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 218 minutes before 5:43 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 72563048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -10153405405 - -5?\nAnswer: -10153405400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 8 + 14)*(-2*l**4 - 2*l**4 + 5*l**4) in the form m*l + c*l**3 + a*l**4 + w*l**2 + r and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 83 bigger than 3195\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 6*w**2 - 3*w - 1. Calculate k(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in -3, 88, -606?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/8 and 77\/412.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -7  (b) -0.2492  (c) 9.8  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.8 - 0.2. Let y = 22\/13 + -163\/104. Let f(g) = -2*g**2 + 2*g + 26. Let i be f(4). Which is the closest to r?  (a) -1\/4  (b) i  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/20*1 - 35\/175?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -470801*i**3 - 360346*i**3 + 831149*i**3.\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -1 + (-5 - -5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 525438.\nAnswer: 2, 3, 29191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 1 + sqrt(208) - (sqrt(208) + (sqrt(208) - (sqrt(208) - -1*sqrt(208))))*4)*3)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 540449624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 567715 + 437753 = 51*a + 145455. List the prime factors of a.\nAnswer: 3, 7, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 68 - 60. Solve -4*n + 7 = 5*t, 0 = l*n - 11*n + 4*t + 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 86, -301, -1372, -3469, -6934, -12109, -19336, -28957?\nAnswer: -41314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1786, 7203, 16224, 28849, 45078, 64911?\nAnswer: 88348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102*m + 199*m - 88 - 106 = 0. Which is the nearest to m?  (a) 25\/2  (b) 4\/7  (c) 9\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 45 - 30. Suppose 5*o - 10*o + 20 = 0. Suppose 5*p = 3*b - 0*p - 1, -o*p + 8 = 2*b. Solve -35 = 5*i + b*a, i + i + a + r = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -14 (base 6) to base 8\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -164270, -163719, -163168, -162617?\n\"Answer: 551*w - 164821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 104.312 + -94.2546. Let t = -10.16 + n. Round t to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-12)\/8)\/(((-729)\/(-594))\/(-9))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nf when two letters picked without replacement from {v: 1, f: 2, t: 1, y: 2, n: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 47369, 47445, 47511, 47561, 47589, 47589, 47555, 47481?\n\"Answer: -n**3 + n**2 + 80*n + 47289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2*n - n**2 - 214 + 107 + 110 + 6*n. Suppose -4 = -2*q - 2*j, -2*q - 6*j = -j + 11. List the prime factors of o(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 180.57611 - 180.37. What is u rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2220*o - 21292 = -107872 for o.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -v - 18, 4*v - 1 - 19 = -3*y. Suppose v = -3*k + 5. Suppose f = x + 6*f - 19, -2*f = 2*x - 14. Calculate the least common multiple of k and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pxad when four letters picked without replacement from xbxxdap?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence by when two letters picked without replacement from {d: 1, e: 5, t: 3, y: 1, b: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is (-90 + 1)\/(-3 - 40303\/(-13448)) a multiple of 328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59157479 is divided by 672?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -22 + 66. Calculate the greatest common divisor of g and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmyyym. What is prob of sequence ym?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 23266175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-45)\/(-3816)*-4 + 2\/3. Let d = o + 5\/106. Factor 0*n - 4\/9*n**2 + 0*n**4 - 2\/9*n**5 + d*n**3 + 0.\nAnswer: -2*n**2*(n - 1)**2*(n + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -p + u, 0 = 4*p - 0*p - 2*u - 18. What is the remainder when 15 is divided by 6\/(-3) + p + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -114 + 195. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) -0.1  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3440222 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -12 - (19 + -16 - 32)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of u**4\/12 + 13*u**3\/6 - 6*u**2 - 14. Determine d(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2\/10 - (-247)\/65. Let q = 4 + -3. Let t(c) = 3*c**2 - c**3 + 2*c**2 + 3 - 3*c - q. What is t(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -4*g + 8*g**2 + 4*g**2 + 4*g**2 - 3. Suppose -4*u - 13 = -p - 0*p, 5*p - 31 = 3*u. Is w(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4756 = 33434*i - 33318*i for i.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 464705543?\nAnswer: 464705543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33 = -k + 34 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 2*i - 174 + 356 - 183. Calculate g(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -69652 (base 12) to base 7.\nAnswer: -1124525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jososj. What is prob of picking 1 j and 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (((-1)\/(-4))\/(1\/4))\/((-10)\/10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3856\/(-33981)*3\/(-4))\/2?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 12\/9*(-27)\/(-12). Suppose -n*a = 15, u + 19 = -4*a + 167. Suppose -v + 0*v = 2*s - 59, 3*v - u = 3*s. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 270 = m. What is the highest common divisor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -323 + -142?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(432) - (sqrt(432) + -1)*6 - (sqrt(432)*-1 + 3))**2.\nAnswer: -288*sqrt(3) + 6921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = i**3 + 6*i**2 + 4*i + 28. Calculate x(-7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - ((6 - 2) + (1 - 2 - 4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3121, -3260, -3399?\nAnswer: -3538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 103104 divided by -31\nAnswer: -103104\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 92 divide 237228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -7*k**3\/3 - k**2\/2 + 2*k. What are the prime factors of a(-3)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the first derivative of 2*f**3\/3 - 4*f**2 - 10*f + 98. Factor a(c).\nAnswer: 2*(c - 5)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 830\nAnswer: -3\/830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 183297566.\nAnswer: 2, 91648783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 - i**2 + 3*i**2 + i**2 + i**2 - 4*i**2 + (0*i - 2*i + i)*(40*i + 54*i + 3*i)*(-3 + 0 + 4).\nAnswer: -98*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 7241*h**2 - 75021 - 75017 + 150038. Let j(x) = x. Give j(t(m)).\nAnswer: 7241*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 148 = j + 2*j + 5*s, 9*j - 2*s + 3 + 93 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i and 1 b when three letters picked without replacement from bjjmmmbii?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -41974547062 and 1.357?\nAnswer: 41974547063.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28*w**3 - 8324*w**2 + 57208*w + 17024.\nAnswer: -4*(w - 7)*(w + 304)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 19 + -16. Let q(l) = l. Let c = 1 - -3. Let h be q(c). Solve h*m - 3*p = -3, 4*m + g*p + 7 + 14 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + 18 + -25 + 20 + -2\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 3*o**2 - 124*o - 4781. Determine s(66).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1144, 1801, 2460, 3121?\n\"Answer: i**2 + 654*i + 489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -224, -832, -2206, -4730, -8788, -14764, -23042, -34006?\nAnswer: -48040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ebrryrrre. What is prob of sequence by?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x**2 - 2*x**2 - 4*x**2)*(25*x**2 + 9*x - 7*x - 5*x).\nAnswer: -50*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in one tenth of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 342780464.\nAnswer: 2, 13, 29, 56827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w**3 + 15*w**2 - 46*w + 32. What is x(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 69, 266, 631, 1194, 1985, 3034, 4371?\nAnswer: 6026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 58.163 - -0.437. Round d to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 114978 bigger than 114979?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 148459.\nAnswer: 31, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 11*v**2 - 17*v + 19. Let q(f) = 5*f**2 - 8*f + 9. Give -6*d(k) + 13*q(k).\nAnswer: -k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -8\/4575 and 73\/46197.\nAnswer: 70450425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -21 + 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange d**3 + 227198*d - 454428*d - 1 + 227192*d - 85*d**2 + (0*d**3 + d**3 - 3*d**3)*(-3 + 2 + 0) to y + q*d**2 + z*d + r*d**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 10975409.8+25.61\nAnswer: 10975435.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes before 10:55 AM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 372819216 a multiple of 10618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - 3*v - 2*v)*(-2*v**3 - v**2 + v**2) - 9*v + 9*v - 2*v**4 - v**3.\nAnswer: 10*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 39739680 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5854  (b) -5  (c) 6  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4213969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (i + 2*i - 4*i)*(-i**2 - i**2 + i**2) - 15*i**3 - 35*i**3 - 10*i**3 + 0 - 4 - 4*i**3 + 2*i**3.\nAnswer: -61*i**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = -p - 100. What is the common denominator of ((-114)\/p)\/(20\/(-25)) and 65\/28?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -170*a + 87*a - 15540 = -89*a. Solve 0 = 8*x + a - 2606 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c*c**4*c\/((c*c\/c**(-3\/8))\/c)*c**(-1\/2)*c**(2\/5) assuming c is positive.\nAnswer: c**(181\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10536 divided by 24.\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/a**(-2\/3))**(-2\/7)*(a*a**(-7))\/a*a*a*a**(-15))**(-40) assuming a is positive.\nAnswer: a**(17200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-11)\/(-3) - 3\/(-9). Suppose 3*n - 191 = -2*h - 138, -4*n + 20 = 0. Sort h, -4, -1, z in descending order.\nAnswer: h, z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 6, 2, -12, -1, -8 in decreasing order.\nAnswer: 6, 2, -1, -4, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find b such that b**2\/3 - 13*b\/3 + 14 = 0.\nAnswer: 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 254086 (base 11) in base 2?\nAnswer: 1100001110101010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 119 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, o: 2, w: 4, r: 4, u: 1, e: 2}. What is prob of sequence wow?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6922060226 - 134.\nAnswer: -6922060360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -6*f. Suppose f = -z - 0*m - 5*m + 72, -4*z = 3*m - 271. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2163, 1211, 6789, 14535, 24413, 36387?\nAnswer: 50421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 1  (c) 0.1  (d) -3\/5  (e) -1.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 71\/5 of a meter in millimeters?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**3 - t**2 - 4*t + 3. What is i(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = -i + 1, -2*i + 2 = -69*s + 68*s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h**2\/3 - 22789*h\/3 - 15194 = 0. Calculate h.\nAnswer: -2, 22791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10714, -21427, -32140, -42853, -53566?\nAnswer: -64279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 1:39 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -137 + 74. Let l be (-14)\/p*21*(-6)\/(-7). What is the third biggest value in -0.3, l, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6799 + 10*c**2 - 6799.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -322*a + 279*a = -172. Let y(l) be the third derivative of -2\/105*l**7 - 25*l**2 - 1\/15*l**5 - 32\/3*l**3 + 0*l + 0 - 1\/5*l**6 + 4*l**a. Factor y(k).\nAnswer: -4*(k - 1)**2*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9789 divided by 3263\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28 - 25. Suppose g*a + a - 340 = 0. Suppose 4*u + u = a. Calculate the remainder when 46 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 5:38 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -101110 (base 2) to base 3\nAnswer: -1201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 55418449727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 + (-4 - 6 - -4) + 12 + -32?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that -5*i**3 + 25*i**2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 8 = -62. Find the second derivative of 5*s + 54*s**2 - g*s**2 - 9*s**4 wrt s.\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 121220 (base 3) to base 16\nAnswer: 1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -12*b**2 + 17*b + 24. Let q be i(-20). Let o = q - 5283. Let t = o + 218333\/21. Find the common denominator of 0 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + 0 - (-3 + 4 - -3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 76694389.\nAnswer: 76694389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-65)\/(-150) + (-28)\/(-168). Let k = 53 - 53. What is the nearest to k in -5, -8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1 + 10*z**4 + 12*z - 1 wrt z?\nAnswer: 120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in 0, -1361221, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 + 5 = -3*u - 3*h, -3*u + 17 = -4*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2637167.\nAnswer: 13, 202859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 10}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 - 8 - 10*j**2)*(24 + 48*j**2 - 24) as w*j**4 + k + l*j**2 + z*j + q*j**3 and give w.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.08 and 59281027.\nAnswer: 59281027.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5319 - 5318.9990693. What is g rounded to five decimal places?\nAnswer: 0.00093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -130 + 522. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 72156 and -0.1.\nAnswer: -7215.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2, -23, -2, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -28?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 - d - 1. Let m(x) = -7*x**2 + x - 8. Let h(v) = m(v) - 6*w(v). Determine h(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 220 is divided by 68?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4176.999995863 + -4177. Round p to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d = -2*o + 130, 10*d + 3 = -10 + 33 for o.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -404 - -335440205?\nAnswer: 335435401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 2*m - 2*m + 4 - 4*m + 5*m. Let r be n(0). What is the second derivative of g**2 - 2*g - g + 5*g**r - g**2 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*v + 4*v - 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w - 4, 0*p + 10 = -4*p + 5*w. Let i be (-18)\/(-8) - (-1)\/(-4). Suppose -v - i + 0 = p. Which is greater: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4284 and 17057460?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 330 + -6 + -4 + 6. Let r = h + -308. Suppose 0*s = 3*s - 27. Calculate the highest common divisor of r and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 PM and 5:54 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 61 = -2*q + 71 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*g**2 - 4*g**2 + 0*g**2)*(-5*g - 17*g**2 + 14*g - 11*g) as m*g**4 + l*g**3 + j + r*g**2 + h*g and give m.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 270 and 4075?\nAnswer: 1100250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 - 36*i**2 - 72*i.\nAnswer: -4*i*(i + 3)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 427*i - 213*i - 183*i.\nAnswer: 31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.13?  (a) 5  (b) -3\/4  (c) 1\/8  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -28*-3\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 33 - 19 - 7 - (23 - 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:49 AM and 10:14 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 12555 and 1665052953.\nAnswer: 1665065508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c. Let z(l) = -l**2 - 7*l. Let a be z(-5). Let v(o) = -5*o - 7*o + a*o. Give u(v(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-5 + sqrt(272) + sqrt(272) - sqrt(272)))**2*-5.\nAnswer: -37125 + 5000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2156 = 120*a - 1436 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 409910 and 5191?\nAnswer: 11887390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 11682 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:34 AM and 6:01 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 69*h - 268. Let d be z(20). What is the greatest common factor of d and 2641?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -116, -107, -92, -71, -44, -11, 28?\n\"Answer: 3*t**2 - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -78*t - 39. Let l be c(17). Let n = l - -2492. Let x = -646 + n. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-2)\/(-8) + 127\/36 and (-2)\/(-8) - (-278)\/40.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 217250 to the nearest 1000.\nAnswer: 217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11783116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -143 - 0?\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -176 and 0.07?\nAnswer: -12.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -323421 + 146?\nAnswer: -323264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 95170 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((663\/26)\/17)\/(3\/(-8)). What is the closest to 2\/7 in g, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 423 minutes after 12:25 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve p = -5, 3*f + 0*f + 9 = -3*p for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.05*-478467.\nAnswer: 23923.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 15 = 1044*f - 1047*f, -3*i - 9 = -3*f for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 PM and 5:14 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 385506 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in eleven quarters of a gram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1694.43797 + -2823112.\nAnswer: -2821417.56203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 + 6*y**2 + 3*y - 2. Let o be g(-3). Suppose 18*c - o = 14*c. Sort -2, c, 3 in descending order.\nAnswer: c, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1.87, 2\/7 in increasing order.\nAnswer: -5, 2\/7, 1.87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(232\/(-16) + 8). Let h = -5.5 - -7. Let d = h + -2. Sort d, q, 0 in descending order.\nAnswer: 0, q, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 - 4 = -2*v. Suppose 0 = -4*u + 2*u + 54. Suppose 5*y + 11 = s, -y + 6 = 3*s - u. What is the smallest common multiple of v and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 292 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 4*p. Suppose w + r - 3 = p, 9 = -2*r - 1. Solve -3*n - w = -7*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**2 + 0*r + 0*r)*(0 - 2*r**2 + 0) - 3*r**4 + r**4 - 6*r**4.\nAnswer: -12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -3432, -6863, -10294, -13725, -17156?\n\"Answer: -3431*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/45328 and 71\/67992?\nAnswer: 135984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2546493 + 1234605. Let z = 2388112 - h. What is z rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {r: 18, b: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r - 4 = -672*p + 671*p, -8 = 4*r - 6*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -140634 or -140614?\nAnswer: -140634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -325126, -323951, -322776, -321601?\n\"Answer: 1175*o - 326301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2269 is divided by 370.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s = 5*f - 21, 5*s - 5*f + 17 = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - s = -7, 5*o - 2*s + 0*s + 19 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 66\/4*83436730\/39. Let k = a - 52890155. What is k rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 12, -6*j - 3*d + 17 = -2*j. Let n = 5 + -5. Let t be 4\/(-6) + 16\/(-12). Sort n, t, 5, j in decreasing order.\nAnswer: 5, j, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**2\/r)\/(r**(-1)\/r*r))\/(r**(-8)\/(r\/((r**3\/r)\/r))) assuming r is positive.\nAnswer: r**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 12:39 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -21 + 19. Let j be 0\/1 - (-8)\/1. Let t = -12 + j. Put x, t, 1 in descending order.\nAnswer: 1, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -282*n + 2479 = 505 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 81 = 75. Let p = -39 - a. Suppose 0 = -2*o + s + 39, -4*s + p*s = -o + 23. Calculate the remainder when 75 is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 40829155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w. Let s = 266 - 234. Let z(h) = -s*h**2 - 5 + 63*h**2 - 39*h**2 - 8. Give n(z(f)).\nAnswer: 16*f**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 534280 a multiple of 740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1120, 8995, 30380, 72031, 140704, 243155, 386140, 576415?\n\"Answer: 1126*d**3 - d**2 - 4*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 158726780?\nAnswer: 2, 5, 2467, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 523086815*p + 523086872*p - 1046173620*p.\nAnswer: 67*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 - 18*l**2 - 30*l + 67. Calculate the remainder when 166 is divided by r(-16).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-67*t**2 - 1453 + 2*t - t**3 + 1453)*(8 - 1 - 5 + 37*t) to x*t**4 + o*t**3 + v*t**2 + r + h*t and give o.\nAnswer: -2481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1162*q - 969*q = -7720 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(-2\/11))\/(v\/(v\/v**9)))\/(v**9\/v**0) assuming v is positive.\nAnswer: v**(-185\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-7)\/((-182)\/4) - 356\/(-52). Solve -3*j = -15, -1 = -o + j - l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 41451524.\nAnswer: 2, 10362881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 132*c**4 + 738*c**3 + c**2 + 460*c - 523.\nAnswer: 1584*c**2 + 4428*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 3 = 2*r + 6*g, -r + 52*g + 37 = 59*g for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 91, -7, -0.3 in increasing order.\nAnswer: -7, -0.3, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from vnrvvvvvvtglng.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -68611, -274444, -617499, -1097776, -1715275?\n\"Answer: -68611*m**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4 from 158081.1569.\nAnswer: 158077.1569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 6*c - 43. Let g be f(7). Is 3\/56 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k\/(k\/((k\/k**(-3\/2))\/k)))\/(k\/(k*k**7))*(k*k**(-2\/27)*k)\/k**4)\/(k**(-2\/5)*k**(-7)*(k*(k*k\/(k\/k**(-7)))\/k)\/(k*(k\/k**(-4))\/k)) assuming k is positive.\nAnswer: k**(6973\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 2*y = -40. Suppose 4*p - 5*w = 2*p + 4, -y = -4*p - 5*w. Let x be p\/2 + (-3)\/(-3). Solve 22 = 5*s - j, -x*s - j = j - 16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 243215, 243233, 243251?\nAnswer: 243269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**3 + 39*x**2 + 36*x - 76. Let a be y(-38). What is the nearest to a in -228, -1, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48919309 is divided by 677?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*n**3 - 262*n**3 - n**3.\nAnswer: -249*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tlqq. Give prob of sequence lq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/f**(-1))**(-2\/61)*((f\/(f*f**(-1\/6)*f*f))\/f)\/(f**(2\/5)*f) assuming f is positive.\nAnswer: f**(-7867\/1830)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n - 5*n + n + (-1 - 3 + 2)*(3 - 3 + 3*n))*(-73 + 510 - 21).\nAnswer: -3328*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 76321, 76348, 76387, 76444, 76525, 76636?\nAnswer: 76783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 21529 and 1181?\nAnswer: 25425749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 370 and 3330?\nAnswer: 3330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 90725 - 7936.\nAnswer: 82789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c**3 - 4952*c**2 - 1527680*c + 3075200 = 0. What is c?\nAnswer: -620, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 21210010001 (base 3) in base 10?\nAnswer: 153172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 40971, 40954, 40927, 40890, 40843, 40786?\nAnswer: 40719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 118860 divided by -6\nAnswer: -19810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = h + 40. Let u be l(-21). Calculate the greatest common factor of 304 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 124968 and 1681656.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3*(2*sqrt(96) - sqrt(96)) + sqrt(96)*-2*-5)*1)\/((sqrt(240)\/(sqrt(10)*1))\/(sqrt(96)\/(-1*sqrt(8)))) + 3.\nAnswer: -52*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2*g + 2. Let c(n) = 3*n - 2. Let j(s) = -8*s**2 + 8*s + 9*s**2 + 9 - 1. Let h be j(-6). Determine h*c(q) - 5*k(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 22158 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-12)\/15)\/((-38)\/95). Solve 0 = 4*z + k*v + 10, 4*z + 3*v = -2*v - 25 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-56)\/(-42))\/((-4)\/(-54)). What is the units digit of 6\/9*a\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-85)\/((-62220)\/77287) + -106?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - -46?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33499?\nAnswer: 139, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 184*g**2 + 93*g + 531. List the prime factors of k(-18).\nAnswer: 3, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 126951618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 236294.\nAnswer: 2, 118147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (58 - 30) + 0 - 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(12)\/sqrt(4)*-2 - sqrt(3) - (-5*(sqrt(3) + (sqrt(27) - sqrt(3))) + sqrt(3))) + 5)*5.\nAnswer: -110*sqrt(3) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -121121 + 2111221?\nAnswer: 1220100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + 5981?\nAnswer: 5983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aajjg. What is prob of sequence aa?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 337 at most 339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kdjowkwooo. Give prob of sequence kdo.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -144 - -143.933. Let u = s - -0.066917. Round u to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*k - 46 - 242 = 19*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 6 = 1. Let f = -3 - j. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:30 AM and 3:16 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d + 9*d - 4 = 0. Determine p, given that 20*p + 5 + 30*p**2 + 20*p**3 + 2*p**d + p**4 + 2*p**4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18366.\nAnswer: 2, 3, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 0.2  (c) -1  (d) 5251  (e) -2  (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -104 + 310 + 2*j**3 - 206 + 9*j**3.\nAnswer: 11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:05 AM and 1:33 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-108 - -3) - (53 + 164 + -195)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -355*o + 3*o**2 - o**2 + 355*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 3*w + 4 = 0. Suppose 0 = 4*h + d - 2*d - 103, 39 = w*h - 3*d. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -314\/5 + 63. Let f = -109\/3 - -37. Put -1\/4, f, h in descending order.\nAnswer: f, h, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 - 3*s**2 - 5*s + 6. Let l be j(4). Let z be (1\/2)\/(l\/(-4)). Which is the closest to z?  (a) 0.4  (b) 2  (c) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04037 to 3 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -368093*n**4 + 374418*n wrt n?\nAnswer: -4417116*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -4*u**2 + 241*u - 54. Let s be g(60). Solve -25 = s*o - o + 5*a, -2*a = 4*o + 18 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((112\/(-12))\/7 - 2)\/(22\/33). Let v(y) = -28*y + 3. Let u(k) = 28*k - 4. Calculate c*u(h) - 6*v(h).\nAnswer: 28*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*z**4 + 4*z**4 + 5*z**4 + 5*z**4 - z**4 - 3*z**4 - 2*z**2 + 2*z**2 + 2*z**4 - 2 + 2 - 2*z**4 + (-z + z + z**2)*(-2*z**2 - 2*z + 2*z).\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*t = 6*t - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 27845.25 milliseconds to minutes.\nAnswer: 0.4640875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 47+296\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -2*p + 10. Let t(n) = 39. Let c(r) = 175. Let m(a) = 2*c(a) - 9*t(a). What is -12*m(b) - o(b)?\nAnswer: 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 2775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 19.67  (b) -0.1  (c) 1  (d) 65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**2 - 1010*y - 5988.\nAnswer: -2*(y + 6)*(y + 499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2\/9 + 106*o\/9 + 1232\/3.\nAnswer: -2*(o - 77)*(o + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -1*1*sqrt(1216) + -4*(2 + sqrt(1216)))**2.\nAnswer: 400*sqrt(19) + 30425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 1\/3  (b) -84  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2867 - 2886. Put 0, j, 10, 1 in ascending order.\nAnswer: j, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -774, -757, -714, -633, -502, -309?\n\"Answer: 2*t**3 + t**2 - 777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25 - -152. Suppose 4*d = -5*u + 150, h = -u + 4*u - 5*d. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 45 = 5*x, -5*r + 26 = 4*x - 15. Let j(f) = -130*f - 2. Let c(w) = -111*w - 2. Let s(d) = 7*c(d) - 6*j(d). What is s(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 424 and -185985.5.\nAnswer: -185561.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2 + 0 + 0\/2. Suppose -a*z + 10 = 3*z. Let s(x) = x**3 - 7*x**2 + 6*x + 4. Let f be s(6). Solve -t + 10 = -z*h, -f*t - h - 8 = 3*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -4*h**2 + 75*h + 541. Calculate c(-13).\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3 - 1199*c**2 - 4027*c - 1209.\nAnswer: (c - 403)*(c + 3)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - g)*(146 - 146 - 67*g**2) + 4*g**3 - 4*g**3 - 5*g**3.\nAnswer: 62*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.5212 + -0.1212. Which is the closest to -1?  (a) -44  (b) u  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -27 + 69. Let k(d) = d**2 - 12*d + 27. Let z be k(4). Let b = 20 + z. Calculate the remainder when x is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(4\/3)*(-60)\/90\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -135*n + 20647 = -46313. What is the lowest common multiple of 8 and n?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 33112201 (base 5) to base 8.\nAnswer: 1055165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13999.\nAnswer: 13999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = i - 3*i + 29, -i - 2*o - 3 = 0. Suppose 4*f + 9 = i*f. What is the units digit of ((-10)\/f)\/((-6)\/9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) + (sqrt(119) - -1*sqrt(119)*-2))\/(sqrt(7) - (sqrt(448) + 1*sqrt(448) + sqrt(7) - sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7 + 1322964255.\nAnswer: 1322964248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1531091 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - (-1 - -1) - -6. Let r = -1554 - -1552. Put -5, v, r in ascending order.\nAnswer: -5, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 324.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 5*f + 35 = -98, -5*f = -2*i + 183. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -53884 in -4, 1, 4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-4)\/(-8)*(-4)\/11. Put 1\/2, l, 1\/6 in decreasing order.\nAnswer: 1\/2, 1\/6, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.12 + 0.5. Let s = q + -0.518. What is s rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 15257512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w**4\/7 - 3412*w**3\/7 - 6792*w**2\/7 + 13648*w\/7 + 27232\/7 = 0.\nAnswer: -851, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -5  (b) 2  (c) 4\/9  (d) -21\/8  (e) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**3 + 7*o**2 + o - 2. Let l be i(7). Suppose 0 = j - l*j + 40. Suppose 9 = -3*a, 5*a + j + 29 = 2*n. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -28, -50, -72, -94, -116?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.02?  (a) 5  (b) -0.1  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 0*z - 68 = -l, -4*l = -2*z - 248. Calculate the lowest common multiple of 24 and l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72 = -4*f + 4*c, 2*c + 530 = -3*f + 559 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -24 - -36. Let c = -2 + 3. What is the remainder when f is divided by 174\/24 - c\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 b when three letters picked without replacement from {v: 1, b: 11, k: 2}?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (998 - 995) + (-1 - (17 - -1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*b**2 - b**5 - b**2 - 4*b**2)*(2 + 3 - 4).\nAnswer: -b**5 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 32386 at most 32393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.146 and 8789.\nAnswer: 8788.854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -27  (b) 29\/2  (c) -1  (d) -0.5  (e) 42\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 127*g**2 - 882*g - 9. Let q(y) = y**2 + 8*y - 13. What is the least common multiple of l(7) and q(7)?\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 17910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 271167.\nAnswer: 3, 13, 17, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 + 4*d**2 + 2*d - 5. Suppose -7*y + 5*y + 8 = 0. Let w be z(y). Suppose -132 - 117 = -w*p - 2*c, -346 = -4*p + 2*c. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16596 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 68 or -5\/7?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 2*m**2 - 3)*(-12*m + 29*m - 15*m)*(137 - 86 - 88).\nAnswer: 148*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 + 2*a. Let c(f) = 5*f**2 + 28*f + 324. Let y(j) = -4*b(j) - c(j). Find z, given that y(z) = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 0 + sqrt(6)\/sqrt(3) + ((sqrt(2) - (sqrt(32))**2)*-4 - sqrt(2)) + ((sqrt(4)\/sqrt(2) - sqrt(2)) + -4 - 4*sqrt(8)\/sqrt(4))**2 + -3.\nAnswer: 28*sqrt(2) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1724?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-27)\/6)\/(-3))\/((-6)\/(-2)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gt when two letters picked without replacement from {s: 4, w: 2, t: 1, r: 1, g: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33174 and 5244?\nAnswer: 1526004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 155840407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -974*m**3 - 3*m**2 - 1709*m - 32850281.\nAnswer: -2922*m**2 - 6*m - 1709","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j + 16. Let f be r(-9). Suppose 2*h - i - 133 = -2*i, 5*i = f. Suppose 7*q - h = 692. Calculate the highest common factor of 36 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -22351420 by 4470284.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/18208 and 31\/1856184.\nAnswer: 4224674784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.134 + 0.334. What is the smallest value in h, 4, 3, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 35*r + 13342 - 12712 = 0 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -23555 divided by 3365?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 510554 (base 6) to base 16\nAnswer: 9dc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y**3 - y**2 + y + 180. Give h(0).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/2 + 2\/2. Suppose 2*o = -5*f + o + 14, 2*f + 8 = 3*o. Suppose -f*z = -u*d - 576, -z + 70 = 3*d - 238. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42467 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**3\/((u\/((u*(u\/(u*u**0)*u)\/u)\/u*u*u))\/u)*u**(-1\/9)*u*u\/(u\/(u\/(u\/(u\/(u*u**(-8)))*u)))*u assuming u is positive.\nAnswer: u**(125\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 102 - 75. Let q = -22 + b. What are the prime factors of -2*1223\/(-10) + 2\/q?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.865 + 0.665. Which is the second biggest value?  (a) j  (b) 1\/5  (c) -0.3  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 - -85. Let v = -327\/4 + i. What is the closest to 1.6 in v, -1, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 395627715?\nAnswer: 3, 5, 7, 23, 29, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.8 + -1. Let g be ((-4)\/14)\/(3 - 1). What is the smallest value in 5, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 - -300. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 679 divide 3738400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -7, 1\/3, 119?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + (-7 - (0 - 1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 13 + 1573696\nAnswer: 1573709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 751  (b) 5  (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 + 1109668*d**2 - 1109691*d**2.\nAnswer: -23*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-4))\/(26\/52).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10100011011 (base 2) to base 3.\nAnswer: -1210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 4*c + 1756 = 1732, 4*t + 19*c - 6*c - 60 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 20 = 45. Let d be c + (0 - 108\/(-21)). Suppose -2*w - 1 = -w + 2*j, -j = 1. Which is greater: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = 3*b + o, -2*o + 76 = 5*b - b. Let f = -16 + b. Calculate the remainder when 43 is divided by 12*-10*f\/(-24).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.3  (b) -2\/17  (c) -0.5  (d) 0.06  (e) 1  (f) -1489\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of a**5\/60 - 5*a**4\/24 - a**3\/6 - a**2\/2 + 4*a. Let x(m) be the first derivative of r(m). Determine x(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**4\/3 + 10880*t**3\/3 - 10888*t**2 + 32672*t\/3 - 10892\/3.\nAnswer: 4*(t - 1)**3*(t + 2723)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/8 + (-17)\/(-4). Solve -2*b - 4 = -2*u, 0*u + 5*u = t*b + 7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4980\/(-32))\/(-3) + -3. Let r = m - 54. What is the common denominator of r and (1\/3*127)\/(-4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9080892 rounded to 2 decimal places?\nAnswer: 0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvqvqqaava. What is prob of picking 1 q and 1 a?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*b + 156*b - 23766 = 35814. Solve 329*n + 18 = b*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1572, -1478, -1382, -1284, -1184, -1082, -978?\n\"Answer: n**2 + 91*n - 1664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(1 - 26\/30). Suppose 2*b - h = -b. What is the highest common factor of b and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/11)\/s)\/((((s\/s**(-1\/13))\/s)\/s*s*s)\/s))\/(s\/s**(-23)*s*s**12\/s) assuming s is positive.\nAnswer: s**(-5315\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -840 = -140078*g + 140043*g + 315 for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 39, 113, 237, 423, 683, 1029, 1473?\nAnswer: 2027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 68 divided by 47\nAnswer: 68\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*g**4 + 9*g**3 - 13731*g - 1233535 wrt g?\nAnswer: -8*g**3 + 27*g**2 - 13731","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 5, 6, -3 in increasing order.\nAnswer: -3, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 0.0911693 decades?\nAnswer: 0.00911693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + 6*p**2 - 5710*p + 22801. What is c(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65 + 58 = -i. Let n = 62 + i. Let c = -5 - n. Calculate the remainder when c is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 1232 = 4*c - 0*n, 5*n = -c + 293. What is the third derivative of -12*l**5 + 313*l - c*l + 21*l**2 wrt l?\nAnswer: -720*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.094 + 0.094. Which is the nearest to 2\/7?  (a) g  (b) -3\/2  (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/48802 equal to 634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 36 and 9208716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 206847409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 6*n + 3*z - 6 = 0, 2*n + 3*z = 6. Let c(p) = -37 + 133 + p**2 + 31. Is c(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/36 and 109\/2213580.\nAnswer: 6640740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3513*s + 3515*s - 3*c + 15 = 0, -c + 5 = 4*s. Factor 2\/3*a**2 + 2*a**3 + s + 2\/3*a**5 + 0*a + 2*a**4.\nAnswer: 2*a**2*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2137, 16899, 56921, 134833, 263265, 454847, 722209, 1077981?\nAnswer: 1534793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 149 - 48. List the prime factors of d.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-51 - 453 + 1)*(w + 0*w + w).\nAnswer: -1006*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 87*c - 92*c = 2*k + 9, 0 = k - 29*c - 90 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*q + 107 + 55 = 0 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c**3 - 31*c**2 + 63*c - 32. Determine f(29).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**4 + 24*a**3 - 18*a**2 - 120*a - 75 = 0. Calculate a.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/4*(9 + -9). Suppose -4*s + 1 + 3 = w. Let c(d) = -d**2 - 1. Let n(p) = p**3 - 6. Let a(u) = s*n(u) - 6*c(u). Find the third derivative of a(v) wrt v.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.833 plus -1.5?\nAnswer: -0.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-14)*1*-5*(-216)\/360.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j**5 - 210*j**4 + 2695*j**3 - 10790*j**2 - 2700*j + 11000 = 0. Calculate j.\nAnswer: -1, 1, 10, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -15*m**3 + m**2 - 6*m - 75. Let c(n) = 13*n**3 - n**2 + 5*n + 78. Give 7*a(k) + 8*c(k).\nAnswer: -k**3 - k**2 - 2*k + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in -1\/7, 309, -2, 2\/9, -1\/68, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-165)\/(-21)*(-42)\/(-30)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 26734.968 months in centuries?\nAnswer: 22.27914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 25.2?  (a) -0.07  (b) 1\/5  (c) 0.4  (d) -0.5  (e) 4  (f) -74\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 307 + -29?\nAnswer: 29a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**4\/7 - 3054*u**3\/7 + 1164336*u**2\/7 + 1167392*u\/7.\nAnswer: 2*u*(u - 764)**2*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -28.7 - -28.36. Let q = a + 0.2815. What is q rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-5))**14*(p**(-2\/17))**6 assuming p is positive.\nAnswer: p**(-1202\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*4*sqrt(170)*2)\/(-5*(sqrt(810) - (sqrt(810) - -4*sqrt(810)))))**2.\nAnswer: 68\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-162)\/(-2))\/3 - (0 - 2). Suppose 0 = -5*o + 31 + c. What is the greatest common divisor of 60 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 7*s - 6. Let q = 16 + -12. What are the prime factors of k(q)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45479.\nAnswer: 7, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -74, -83, -96, -113, -134, -159?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2736) + 1 + sqrt(2736))*-1 + 1.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 92 - 92.0000386. What is l rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in 4*d**3\/3 - 129292*d**2\/3 - 1811852*d - 19030620 = 0?\nAnswer: -21, 32365","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (121 + -93 - (12 - 0)) + -102?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 269628*q**3*v*w**2 - 29*q**2*v + 231*q**2*w - 3*q*w**2 - 3*q*w + 2*v wrt q?\nAnswer: 1617768*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 2*f = 1364, 3*f = 49*m - 46*m - 1023. What is the remainder when m is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 111 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8 - -7. Let q = 4 - l. Suppose 0 = c + 4*p + 8 + 3, 0 = -p - 2. Put -1, q, c in descending order.\nAnswer: q, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -w - 4*y + 2*y, -3*y + 15 = 0. Let p = -26 + w. Suppose 0*f + 210 = p*f. Is f a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001562360837 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -15035343 - -4?\nAnswer: -15035338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -4809 - m + 4809. Let n(j) = 8*j**2 + 0*j**2 + 19*j**2 + 15*j**2. Calculate n(s(o)).\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 58026 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of -c**6\/120 - c**5\/12 - c**4\/8 - 2*c**3\/3 - 6*c**2. Calculate j(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-6))\/((-46)\/((-103224)\/(-22))).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y - 12 = 5*y. Let j(a) = 11*a - 2. Let p be j(y). Let d be 2\/(-5) - p\/(-10). Is -5 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 8 - (0 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 53*n + 7 - 8 - 10 + 14.\nAnswer: 53*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -5*i - 175, -30*i + 325 = 2*m - 35*i. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1, -20, 2\/7, -0.1, 5\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve v = -2*u - 10, u - 2*u = 2*v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - 2 - 0. Let x(c) = 2*c**2 - 2*c - 1. Let u be x(q). Suppose 0 = 3*a - d - 33, 2*a - u*d - 8 = 21. List the prime factors of a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 357*m - 158*m - 28 + 297*m + 303*m + 28.\nAnswer: 799*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -723 (base 8) to base 10.\nAnswer: -467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -a0aa8 (base 11) in base 9?\nAnswer: -244583","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 408 = 28. What are the prime factors of v?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 897 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/15*-13)\/(((-18270)\/350)\/(-261))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*a**3*n**3 + a**3*n**2 - 4*a**3*n + 7*a**3 - 2248*a**2*n**4 + 69*a*n**2 wrt n?\nAnswer: 12*a**3 - 53952*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/2 in 0.2, 22, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 76*o*v**3 - 3*o*v + 38*o + 5*v**2 + 5*v wrt v.\nAnswer: 456*o*v + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - -6) + (-2 - (6 - 2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 9\/8, 1, 0, 629\/6 in decreasing order.\nAnswer: 629\/6, 9\/8, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 560, 0 in increasing order.\nAnswer: -1, 0, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/15  (b) -4  (c) -4.68191  (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the first derivative of -15*h + 3 + 15*h - h**2 - h**2. Let y(r) = 3*r**2. What is o(y(q))?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.04 - 0.04. Which is smaller: -13 or m?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -20065\/27 + 743. Let m = 26\/27 - s. Find the common denominator of m and 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3936577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -87870\nAnswer: 175740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:33 AM and 4:29 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 1\/4*t + 1\/4*t**4 - 1\/4*t**3 - 3\/4*t**2 + 1\/2 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 14, t: 1}. What is prob of sequence rrr?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -94 - -90. Is 18*(76\/8 - b) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 549840 * 0.3.\nAnswer: 164952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6411073895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/((-72)\/(-10))*(-19494)\/(-16245)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.8639 and 54?\nAnswer: 100.6506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/2*357\/((-378)\/18).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/13 in 2\/3, -8, -5\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*f - 10 = -56. Solve 3*h = f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 38897248 is divided by 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -o - 3*n - 65, -5*n - 1766 = -3*o - 1639 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/6 + 392\/336. Suppose 0 = -2*q + 4*q - 32. Factor -5*d**z - 6 + d + 3*d - 14 + q*d.\nAnswer: -5*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101 - 1010011?\nAnswer: -110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l**(2\/11)\/l**(1\/8))\/(l**(-2\/7))**(-19))**(-27))**(-7\/11) assuming l is positive.\nAnswer: l**(-89343\/968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 749539 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 6813979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 11450 to the nearest one hundred.\nAnswer: 11500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (48\/8 + -6)\/(-1). Let z(u) be the third derivative of -u**2 - 1\/6*u**5 + m - 4\/3*u**3 + 1\/60*u**6 + 2\/3*u**4 + 0*u. Factor z(o).\nAnswer: 2*(o - 2)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3585, 0.03, 269, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -27528.341262369.\nAnswer: -27523.341262369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -12541545 - -4?\nAnswer: -12541541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the first derivative of -y**4\/4 + 16*y**3\/3 - 15*y**2 + 32*y + 727. Calculate o(14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 88*t - 88 = 85*t + 4*s, 3*t - 83 = 5*s. What is the remainder when 57 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-1\/6)\/(x*x**(1\/6)))**(1\/4) assuming x is positive.\nAnswer: x**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7 + -122c?\nAnswer: -1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 18, 678, 1338?\n\"Answer: 660*k - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -13221015 divided by -74695\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of 13*k**6\/40 - 3*k**5\/4 - 12*k**2. Find the third derivative of y(s) wrt s.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -118\nAnswer: -23.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 94*n + 4754 = -51*n + 694 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.4 * -390.74.\nAnswer: 156.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 81 + -6. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 PM and 5:32 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -37 in 2, 2\/5343, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 924 and 21129900.\nAnswer: 147909300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 30373237, 3, 0 in increasing order.\nAnswer: 0, 3, 30373237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1.44, -75, 3 in increasing order.\nAnswer: -75, -1, 1.44, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 30.128 * 0.3\nAnswer: 9.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 12*u - 8*u = 1330, -5*u + 2000 = 3*l. What is l rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -228*a + 1121186 = 1132358 for a.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12 and 29292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3850087516 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - x - 8635, 18*x - 4340 = -2*y + 14*x. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(200) - (sqrt(200) + 1*sqrt(200))) + sqrt(2)*1*-1 - 5*sqrt(12)\/sqrt(6)*-4.\nAnswer: 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.280642 nanometers to meters.\nAnswer: 0.000000002280642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m**(1\/27)*m)\/(m*m**(4\/27)))\/(m*m**(5\/2))**(-2\/17) assuming m is positive.\nAnswer: m**(199\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 20*h**2\/3 + 26752885*h\/3 + 6688220\/3.\nAnswer: 5*(h + 1337644)*(4*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 155540896 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: Calculate (-44)\/66*6\/(-34).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*x - 38 = -2*d + x, -d + 12 = -x. Calculate the greatest common divisor of 7 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3311 + -1400. Does 39 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 92205 - 50489. List the prime factors of q.\nAnswer: 2, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-79)\/3 - (-5 + 2). Let p = a - -23. What is the nearest to 0 in 0, p, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 4*g - 7. Let b(v) = v - 2. Let u(s) = 7*b(s) - 2*p(s). Let q(z) = 4*z**2. Give u(q(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pn when two letters picked without replacement from {a: 2, p: 1, u: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -186 - -300. Let y = c - 69. Let w(g) = 30*g**2 - y*g**2 + 24*g**2. Let x(o) = 3*o**2. What is -6*w(v) + 17*x(v)?\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 383394?\nAnswer: 2, 3, 11, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 37 + -73. Let w = 52 + u. Suppose -5*j = 2*f - w, j = -2*j + 6. Solve 0 = 4*y - s + 7, -3*y - f*s - 24 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6471 a factor of 289111338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1758107325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.161 and 9?\nAnswer: -1.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 + 5*u**2 - 6*u + 5. Let w be p(-6). Let h = -44613 + 44609. Which is the nearest to 1?  (a) h  (b) -2\/7  (c) w  (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 773 - 769. Suppose -g = j, 5*m + 6*g = 4*g + 22. Solve b - m = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2, -63.\nAnswer: -63, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 141 divide 1601946684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 807 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12 + (56 - 136) + 9 + 2 + (6 - -7)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.15*-0.11614651.\nAnswer: 0.0174219765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 13202.19 nanograms?\nAnswer: 0.00000000001320219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u + 17. Let r be f(13). Solve 0*o - r = 2*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a (base 14) to base 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 0.167\nAnswer: -4.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 579247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in fifteen sixteenths of a kilometer?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14092, 14075, 14044, 13999, 13940?\nAnswer: 13867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1103 >= 4417\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19069, 19128, 19179, 19216, 19233, 19224?\nAnswer: 19183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -7 - 11. Suppose -5*d + m = -739. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -2*y - 1842560 + 161546, -4*o = y + 840481. Let g = -460497 - y. Round g to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -11.54147?\nAnswer: -11.54147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 71379929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2008*r - 1978*r + 35 + 27.\nAnswer: 30*r + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 33 - 31. Suppose 0 = -p - 2*v + j, -p + 12 = -2*v - 2. Solve 3*g = -3*n + 15, 5*g = 2*n + p + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1007369 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6402395 - 4?\nAnswer: 6402391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(6292) + sqrt(6292) + (sqrt(312) - sqrt(312)*2)\/sqrt(6))\/(sqrt(24)\/sqrt(6)*6*1) + 0.\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*q - 25 = 5*x - 15*q, -5*q = -25 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the third derivative of 0*g + 0*g**5 + 0*g**4 + 4*g**2 + 1\/6*g**6 - 1\/2*g**3 + 0. Find the first derivative of x(z) wrt z.\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3709\/60 + 53\/20. Let x = 59 + t. Suppose -5*q - j = 18, -5*q + 9 - 37 = -4*j. Which is the third biggest value?  (a) -2  (b) q  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -50.64 plus 1352858214?\nAnswer: 1352858163.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 470995453 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 s and 1 u when four letters picked without replacement from uuussss.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of p**4\/2 + 11*p**3\/3 + 15*p**2\/2 + 4*p + 175. What are the prime factors of g(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 4.1. Let z = w - -0.1. Let c = -4 + 6. Which is bigger: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31*s - 18*s = 53*s - 918 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(5*((sqrt(72)*1 + sqrt(72))*1 + -1) + 0).\nAnswer: -180*sqrt(2) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, u: 3, k: 5, p: 7, g: 2}. What is prob of picking 1 u and 2 p?\nAnswer: 21\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -16*v**3 + 2*v**2 + 5*v + 3. Let q be b(-1). Suppose 3*m = -7 + q. Suppose -3*u + n = 4*n, 2*u - m*n = 20. Solve 0 = 2*r - u*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 + -1. Suppose -2*i = -3*x - 3, -5*x + i = 3 - 5. Calculate the remainder when m is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -688, -1356, -1744, -1714, -1128?\n\"Answer: 23*g**3 + 2*g**2 - 835*g + 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 122171163?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/92632 and 5\/5828?\nAnswer: 134964824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8984?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13, 37, 173, 437, 871, 1517?\nAnswer: 2417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3480*g + 45090 = -34235 - 28447 + 20772 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-10)*(15 + 5) - (1 + -5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.3 - 1.3. Let t = 185 - 186. What is the closest to k in 0.4, -1\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 7952, 12098, 23364, 45314, 81512, 135522, 210908, 311234?\n\"Answer: 594*l**3 - 4*l**2 + 7362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1333\/405 + 25\/81. Let w be (3\/6)\/((-1)\/4). Let k(y) = -3*y - 2. Let n be k(w). Is g bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of q**5\/70 - q**4\/42 - 4*q**3\/7 - 271*q + 12. Factor t(z).\nAnswer: 2*z*(z - 4)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/5*h**2 + 4\/5*h**4 + 2\/5*h - 2\/5*h**5 + 0*h**3 + 0.\nAnswer: -2*h*(h - 1)**3*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*u**3 - 19280*u + 38571*u - 19291*u.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 5*p + 1. Let h(i) = -i - 2*i - 509 + 509 + 0*i. Calculate -4*b(n) - 7*h(n).\nAnswer: n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12628 - -12622. Let j(c) = 6*c + 3*c + 5*c**3 + 6*c**2 - 2*c + 4. Let y(r) = -9*r**3 - 11*r**2 - 13*r - 7. Calculate d*y(z) - 11*j(z).\nAnswer: -z**3 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 AM and 5:42 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (8 - -10 - 13) + -18?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the second derivative of -v**9\/168 + v**5\/20 - v**3\/6 + 30*v. Let h(t) be the second derivative of a(t). Find the second derivative of h(g) wrt g.\nAnswer: -360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 27088 and 3497904.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1625073 + -2?\nAnswer: 1625071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/(-3) - 32\/(-96).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -g**3 + 3*g**2 - g - 2. Let v be (-1)\/(3*2\/(-54)). Let k = -6 - -9. Suppose k*a + 3 = v. Calculate o(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 51, 71, 91?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from okszzkszkrksrzzk. What is prob of picking 1 z, 1 o, 1 k, and 1 r?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 z, and 2 i when four letters picked without replacement from ihiexiz.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 14 = 3*m. Solve 0 = 2*k - 3*l - 4, 0*k - l - m = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 24 from -4340434466.1.\nAnswer: -4340434490.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 609*w - 1281580 + 1252957 = 0 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*u + 10. Let p = u + 0. Let v(g) = g**p + 3*g**2 - g - 3*g**2 + 4 + 4*g**2. Determine v(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ytccccucykutukkc. Give prob of picking 1 y and 2 t.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 5777 - 5777.1. What is the smallest value in 2, 0.5, -152, i?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3030371013.\nAnswer: 3, 47, 179, 120067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence snn when three letters picked without replacement from {n: 3, y: 1, s: 4, e: 3}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 319, 671, 1041, 1429, 1835?\n\"Answer: 9*r**2 + 325*r - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**2. Let w(h) be the third derivative of 0*h**3 + 0 + 22*h**2 - 2\/3*h**4 + 0*h. Give d(w(a)).\nAnswer: 256*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3581 = 101*i - 23084 - 7675. What is the greatest common divisor of i and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*q - 14*q - 48 = 0. Suppose 11*x + 27 = q*x. Calculate the remainder when 134 is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 112*c**2. Let q(f) = 875*f**2. What is x(q(h))?\nAnswer: 85750000*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/8, 7\/6, -2 in increasing order.\nAnswer: -2, -3\/8, 7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 48359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes after 3:59 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 7, p: 1}. Give prob of picking 4 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 34 and 5456576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6.2 - 7. Let u = t + 1.1. Let f be (-6)\/5 + (3 - 2). Sort -2, f, u in descending order.\nAnswer: u, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3568567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 2768943787?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 91 + 9 + 64*j**3 + 10 - 4 - 106.\nAnswer: 64*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 38*h - 62. Let t be i(2). Solve -11*m + t*m = 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most as big as 4\/428582537?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -86080*z + 86097*z - 187 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 792720757 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = n. Solve n = 2*k - 0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*j**3 - 3*j**3 + 2*j**3 + (1 - 2*j**2 - 1)*(3 - 3 - j - 38 + 38 - 3*j + (-5*j + j + 2*j)*(-1 + 1 - 2) - 4 + 4*j + 4).\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -15*s + 390. Let i be m(26). Solve i = -6*a - 6*a - 24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7657.\nAnswer: 13, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (j - 3*j - 3*j)*(6 - 1 - 4)*(28*j - 14*j - 16*j).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -1\/2, 145\/2, 367, -5, 1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fffiffifiififiif. What is prob of sequence iiii?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -4*(-1 - 0\/(-2)). Let l(b) = -b**3 - 6*b**2 + 9*b + 14. Let j be l(-7). Solve 5*a + 3*t + 11 = -14, o*t = j for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) -1\/6  (c) 23  (d) 3\/23  (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 63 minutes before 8:06 AM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 1644*l**2 - 5 + 4.\nAnswer: 1644*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -2296602.\nAnswer: 9186408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-28 + 1)\/(-1) + -1. Suppose -5*a = -6*a + w. Let i be (54 - 58)*39\/(-4). What is the greatest common divisor of i and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 261 - 93. List the prime factors of 9\/12 + r\/(-16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -73601*g**5 + 100856*g?\nAnswer: -1472020*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -3 + ((-5)\/5 - -3). Let d be 21 - 19 - (-1 + 28)\/y. Let z = d + -10. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(130)\/sqrt(10) + 5)**2 + sqrt(208)*-5 + sqrt(208) + -2.\nAnswer: -6*sqrt(13) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(21)\/(sqrt(33)\/(sqrt(44)\/sqrt(4))) + -5 - (-3*(-2*sqrt(1008) - sqrt(1008)))**2*1)*-3.\nAnswer: -3*sqrt(7) + 244959","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/(-7))\/(14\/(-49)). Sort 3, u, -11, -5.\nAnswer: -11, -5, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*i + 22*i = -4*q + 42, 0 = 3*i - 2*q - 42. Solve -5*v + 0*f + 10 = -5*f, 0 = -5*v - f - i for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 152 and 418?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 25 = 6*u. Let y(x) = -x**2 - 12*x - 8. Let a be y(-11). Suppose -2*s + 0*s + 11 = a*p, 0 = 3*p - 3*s - 21. Is p less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*v**2 - 3*v**5 + 7*v**2 + (2*v**3 + 3*v**3 - 4*v**3)*(0*v**2 - 2*v**2 + 4*v**2).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 19*x**4 + 5*x**3 + 5*x**2 - 17. Let n(s) = -10*s**4 - 2*s**3 - 2*s**2 + 9. Let a(m) = 2*f(m) + 5*n(m). Differentiate a(q) with respect to q.\nAnswer: -48*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 773 + 35. Let l be 6\/15 + d\/15. Let p be l\/63 + -4*(-1)\/(-14). Which is the closest to -2\/3?  (a) p  (b) 2\/5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the first derivative of 0*f**4 + 44 + 0*f - 26\/15*f**3 + 12\/5*f**2 + 2\/25*f**5. Factor b(m).\nAnswer: 2*m*(m - 3)*(m - 1)*(m + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*m + 5*m**3 + 1 - 6*m - 3 + 1 to n*m + c + g*m**2 + j*m**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m. Let r(z) be the third derivative of z**7\/2520 + 5*z**4\/24 - 10*z**2. Let x(t) be the second derivative of r(t). Calculate x(w(n)).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 1440 = 3*f, -5*f = -6*f + 5*y + 506. Calculate the highest common divisor of 112 and f.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 + 5 - 53642234776*k**3 + 53642234779*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 10*v - 40. Let m(x) = -6*x + 3. Let n(u) = b(u) + m(u). Determine n(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -187 - -194. Solve -6 = -y + m*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2673 and 89045.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*a**2 - 1005*a**3 - 5770 + 1003*a**3 + 5770 - 89*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v**2 - 150*v = 0.\nAnswer: 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -154078 (base 14) to base 11.\nAnswer: -466794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16821 and 1097712.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (133\/21)\/(31\/(2232\/6))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 3*k + 5*m - 5 = 0, -4*m + 20 = 0. Suppose -k*p - 2*j = -8*p + 70, -5*j = 5*p - 80. Let u = p + -6. Solve -u + 1 = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*r - 81*r + 20*r + 17*r + 20*r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -16446240 by 6.\nAnswer: -2741040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 70*q**2 - q - 2. What are the prime factors of u(-5)?\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -76*d**5 + 4*d**2 - 3*d + 6. Let l(y) = y**5 - y**2 + y + 1. Let x(r) = -3*l(r) - s(r). What is the third derivative of x(p) wrt p?\nAnswer: 4380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1319762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 147 - 32250?\nAnswer: -32102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - (4 - 3)) + (6 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 7 - 9 - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 5\/(1165\/469) + -2. Let y = m + -499\/2563. What is the second smallest value in 5, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11122774 divided by -3\nAnswer: -11122774\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 14415, 26401, 38387, 50373?\n\"Answer: 11986*v + 2429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 84\/(-4)*(-2)\/6. Let p(x) = x**3 - 8*x**2 + 10*x - 8. Let n be p(u). Let c = n + -1. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = 29*j + 145 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 1464*a - 12. Let n be r(-7). Let s = -3209 - n. Suppose s + 2495 = 6*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 17*u + 1. Determine q(-2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000001966 rounded to seven dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11332*a**2 + 625*a - 168545149?\nAnswer: -22664*a + 625","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -361 or -362?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1, -5, 284\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5601 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 7 - 10 + 2*j - 1 - 9 in the form w + f*j and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 119 + -119.0000345. Round h to six decimal places.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/8 - (-3)\/6. What is the remainder when 3 + m + -2 + 27 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the second derivative of -1\/30*n**3 - 1\/20*n**4 - 3\/100*n**5 - 1\/2*n**2 - 5*n + 0. Let h(b) be the first derivative of v(b). Solve h(k) = 0 for k.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -4493, -4516, -4539, -4550, -4537, -4488, -4391, -4234?\n\"Answer: 2*o**3 - 12*o**2 - o - 4482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 130573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 71065485 and 216.\nAnswer: 568523880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine i so that 7998*i**3\/5 + 16029*i**2\/5 + 8064*i\/5 + 33\/5 = 0.\nAnswer: -1, -11\/2666","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.5996738 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.594956cm to kilometers.\nAnswer: 0.00001594956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -422 divided by -3123?\nAnswer: 422\/3123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(175) - sqrt(175)*-1)**2 - (2 + sqrt(847)*-2)**2.\nAnswer: -2692 + 88*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -25 + 21. Let y be 1*d + (-105)\/(-24). What is the nearest to 0 in y, 1\/3, -9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 234387371 to the nearest integer?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30 or -200\/7?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*z - 2*z**3 + 7*z**3 + 76*z - 29*z.\nAnswer: 5*z**3 + 107*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes before 3:08 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(2 - -13) - -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6983872 divided by -524.\nAnswer: -13328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(1216) + -1*(sqrt(1216) + 2*sqrt(1216)))**2 + ((1*sqrt(1539))**2 - (1 + sqrt(2299))**2).\nAnswer: -22*sqrt(19) + 4102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 at most as big as -1\/7619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 25, 19, 9, -5, -23?\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8*i**4 + 0*i**4 - 2*i**4)*(-9549 - 8203 + 19216) to d*i**3 + h*i + r*i**2 + o*i**4 + a and give o.\nAnswer: 8784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19\/(-4) + -2 + 32342\/5652 + (-8)\/36?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -73433 (base 9) to base 12\nAnswer: -24070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -63.2 less than -0.02368992128?\nAnswer: 63.17631007872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + 7. Let k be (-1)\/2*c\/(-5). Suppose -3*l = -5*v - 16, 8*l - 4*l - 4 = -2*v. What is the second biggest value in v, k, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(80)*-4 + sqrt(5)) - (-2 + 0 + sqrt(5) + -3))**2.\nAnswer: 440*sqrt(5) + 9705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 647 minutes before 4:57 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5*a**3*l**3*u + 164*a**3*l*u**2 - a**2*l + a*l**3*u**2 + 250*l*u**2 wrt a.\nAnswer: 30*l**3*u + 984*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = 41*g - 20. Let w(t) be the third derivative of -7*t**4\/12 + 7*t**3\/6 - 3230*t**2. What is -4*d(m) - 11*w(m)?\nAnswer: -10*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -2*t - 1. Let o(x) = 3*x**2 - x + 1. Suppose 3*y + f - 2*f - 8 = 0, f + 9 = 4*y. Let d be o(y). Determine q(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d - 3*d + 3*d)*(174 - 2*d - 174) + 0*d + 0*d - 2*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + -7 + (-16 - (33 - 24) - (0 + 8)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/3)\/r)\/r**(2\/27) assuming r is positive.\nAnswer: r**(-47\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 divided by -25?\nAnswer: 48\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 338 is divided by 169?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16.97 - 11.97. Which is the third biggest value?  (a) -3  (b) -3.49  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of -2*m**6\/15 - m**3\/3 - 5*m - 4. Let u(d) be the first derivative of n(d). Find the second derivative of u(x) wrt x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -688.06 to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/8973, 0.1, -3\/76, 5, 361.\nAnswer: -3\/76, 2\/8973, 0.1, 5, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + (1 - 3) - (-87 - -84).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 + 8*x**2 + 48*x. Let d be m(12). Suppose 23*h - 25*h + 1632 = d. What is the hundreds digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(sqrt(99) + 0))**2 - sqrt(99).\nAnswer: -3*sqrt(11) + 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-8)\/14 - 1158\/(-42) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-14)\/((-160)\/48*(-2)\/(-10)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 18, j: 2}. Give prob of sequence jj.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 56 + -122. Let y = -135 - u. Let o = y + 65. Do o and 1.5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 800 and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a tonne in kilograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -12 + 12*p - 3*p**2 + 8 - 13*p to z + b*p + v*p**2 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 6 = -h, -3 = -h - 3*x - 14. Solve -4*n - f = 8, 14 = -2*n + h*f - 8 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 202233415 divided by 3427685\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 11743990 - -1\nAnswer: 11743991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, 0.31, -3?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = p + 1. Let j(f) = -4*f - 20. Let z(m) = -j(m) - 5*v(m). What is the lowest common multiple of 6 and z(10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -485 - -495. Solve -u = -p + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -12568*p**2 - 31*p + 886130 wrt p?\nAnswer: -25136*p - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 8, -5, -13, 0.01?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1\/(-6))\/((-2016)\/(-768))*28\/(-8).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - 8.7.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 226 = -901. Let n be (-3)\/18 - u\/(-6). Let l = n - -44. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -v**3 - 3*v**2 + 9*v + 2. Let k be h(4). Let c = -72 - k. Suppose c*b - 7*b + q + 710 = 0, -q = 0. List the prime factors of b.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11308 - 655817\/58. Calculate the common denominator of 53\/22 and t.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (27\/(-7) - -4)*1\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -23 + 68\/3. Which is the third biggest value?  (a) -1\/4  (b) 0.1  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -198246.1 rounded to the nearest 1000?\nAnswer: -198000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a - 8. What is u(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 10*a + 40 = 6*a, 4*a = -2*h - 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 42*w**3 + 2*w**2 - 2*w - 1. Let o(y) = 166*y**3 + 10*y**2 - 8*y - 4. Calculate -9*b(u) + 2*o(u).\nAnswer: -46*u**3 + 2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -785*g**4 + 14*g**3 + 7*g**2 + 594. Let l(p) = 523*p**4 - 10*p**3 - 5*p**2 - 396. Let t(u) = -5*d(u) - 7*l(u). Differentiate t(c) with respect to c.\nAnswer: 1056*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = -t + 2119, -t - 4237 = -3*t - 3*q. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-1\/4))**(5\/6)\/((i\/(i\/i**(-2\/11)))\/i*i**(-4\/3)) assuming i is positive.\nAnswer: i**(829\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.009?  (a) 0.2  (b) -0.2  (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 177*y - 4429 + 1751 - 3517 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of 0 - 134*i + 77\/2*i**2 + 34\/3*i**3. Differentiate h(g) with respect to g.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-2) - 30\/(-12). Suppose -2*h + r*y - 5 = 0, h + y + 1 = 2*y. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -138324440 divided by -27664888\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 225 + 1?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (330\/200 - (-6)\/10).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k, -3*r + 149 - 38 = 3*k. What is the remainder when r is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 plus 0.6072?\nAnswer: 1.1072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 38\/304 - (7\/(-8) - -1). Let z(q) be the second derivative of -q + 1\/24*q**4 - 1\/24*q**3 + u*q**2 - 1\/80*q**5 + 0. Factor z(v).\nAnswer: -v*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*k - 11*k = 30*k - 2559654. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 2*a**2 + 6*a + 5. What is i(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2485)\/266 + (-4 - -9) + 9\/2.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 10*s**2 + 2*s + 86. Let r(z) = -30505*z + 14*z**2 + 180 + 30508*z + 7*z**2 - 9. Let l(d) = -5*k(d) + 3*r(d). Differentiate l(f) with respect to f.\nAnswer: 26*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -202*z = -6030 + 1788 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 11 - 424?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -211\/6522360 and 83\/10170?\nAnswer: 19567080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -64 + -81. Let m = 141.36 + a. What is m rounded to one decimal place?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qnllnnnnlnnllqn. What is prob of sequence qql?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6559*d**3 + 6107*d**3 - 12627*d**3.\nAnswer: 39*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 550148 is divided by 1445?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 4*r = 3. Let l be (-8)\/(1 + (r - -1)). Suppose -6*p + l*p = 10. What is the highest common divisor of 35 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -c**2 + 19*c - 108. Let t(i) = 4*i**2 - 79*i - 14. Let h be t(20). Determine x(h).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 51 and 177650442.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 216 - -16. Suppose 0*a + y = a. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -3*w**2 - 68*w + 18. What is the hundreds digit of q(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(70) - (3*2*sqrt(70) + sqrt(70)))\/(-6*sqrt(90)\/sqrt(9)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in 0.4, -11, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-19 - 9*b**3 + 19)*(-22 - 5*b - 28 + 0*b) to the form z*b**2 + y*b**4 + u + n*b**3 + t*b and give y.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -204 - -119. Let n = -3554 - -14135\/4. What is the common denominator of ((-231)\/(-550))\/(6\/z) and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*s + 78 = 26. What is the closest to 0 in s, 1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(2\/(-10) + 0). Let a be 7\/28 - 23\/(-4). Let n(f) = -7 + a*f + 0*f**2 - 2*f + f**2. Calculate n(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 4214296*a**2*g**3 + 9249*a**2*g**2 - 5*a*g**2 - 51*a*g wrt g.\nAnswer: 25285776*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7 and 4951.\nAnswer: 34657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -16.1 - -16.1058. Let m = f - 11.3958. Round m to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 9 = 3. Suppose -a + 24 = 3*g - 4*a, -22 = -4*g + n*a. Is (85\/g)\/(3\/9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d + 5*x, d - 3*d + x = 0. Let q = 1 - d. Let a(y) = y**3 - y + 3. Let p be a(0). Solve q = 2*k - p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1 + 2)*7\/((-14)\/124). Let v = p + 264. Suppose 3*h + 27 = v. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 7*v - 24. Let k be g(6). Let w(q) = -4*q + k*q**2 + 6*q**2 - 1 - 19*q**2. What is the units digit of w(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -8*j**2 + 75*j - 86. Let a be x(8). Let h(c) be the second derivative of 1\/4*c**a + 0 + 1\/24*c**3 + 43*c - 1\/16*c**4. Determine z so that h(z) = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 + 2)\/(3 + -1). What is the second biggest value in 37\/4, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16 = -10*n + 6*n. Let b be (n + -1)\/(4\/8*3). Suppose -b*g = -6*g + g. Solve -4*l = 3*u + 32, -5*l - 4*u + u - 37 = g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*l = 21*l. Solve 2*u + 3*r - 8*r = 5, l = -5*u + r + 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -2658398, -10633585, -23925564, -42534335, -66459898, -95702253?\n\"Answer: -2658396*d**2 + d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qvm when three letters picked without replacement from mmvvmqima.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 + 7*a - 7. Let l be q(5). Let b = 1.4 - 3.2. Let m = b - -0.8. Is l > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 14 - r**3 - 21 + 15*r**2 - 35 + 3*r. Let a be f(15). Solve a = 2*x + 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26593231 >= 26593211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*d + 6*d + 4*d)*((6 - 2 - 2)*(-3*d + 2*d + 0*d) + (2 - 2 - 2*d)*(3 - 2 - 5)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -28588, -57180, -85776, -114376, -142980, -171588, -200200?\nAnswer: -228816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/2120 and -167\/63480.\nAnswer: 3364440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8784 and 6976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**(-2)*w*w**(2\/5)\/w)\/(((w*w\/(w**(1\/5)*w)*w)\/w)\/w*w**4))\/((w\/(w*w**(-2\/5)))**(3\/16)\/(w**0*w**(-5))) assuming w is positive.\nAnswer: w**(-419\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -62*o**2*u + 10438749*o**2 - 111470*o*u wrt u.\nAnswer: -62*o**2 - 111470*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -l**2 - 5*l + 1. Suppose -4*z = 1 + 19. Let n be g(z). Let d = n + 2. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 345050802*q**2 - 5*q - 5451144?\nAnswer: 690101604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 845836073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 3*j = -14, j - 1 = -0*u + 2*u. Suppose -2 = -b + u. Find the third derivative of 2*n**2 + 3*n**4 + 3*n**2 - b*n**2 wrt n.\nAnswer: 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 67.53  (b) 5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 27*m**2 + 6*m + 7264 + 1351 + m**3 - 1543 + 20*m wrt m.\nAnswer: 3*m**2 + 54*m + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.013 + 8.54.\nAnswer: 8.527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -94, -547, -1302, -2359, -3718?\nAnswer: -5379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -n**2 + 329*n - 1309. Determine j(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 7*c**2 + 7*c - 7. Let r be y(-5). Find the second derivative of -37*s**2 - r*s - 116*s**2 + 60*s**2 wrt s.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 37\/5 of a millisecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1109 - 11*q - 1423 + 314.\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1382.3 - -354?\nAnswer: 1736.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 331 is divided by 30.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 855\/(-2052)*(7\/(-70))\/(1\/6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 0*f. Suppose 0 = 15*i - 10*i + 3945. Let j = -7093\/9 - i. Is j greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6340*d**3*l**3 - 1445*d**3 - d**2 + 7*d*l**5 + d*l - 2*d - 3*l wrt l.\nAnswer: 38040*d**3*l + 140*d*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -125 + 123.94. Let g = 0.96 + r. Which is the nearest to -2?  (a) -0.2  (b) 3\/2  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/((-2)\/((-5)\/((-45)\/(-18)))). Solve -5*c + g - 8 = 12, l = -4*c - 2*g - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrkyrkry.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 111 + -311?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -3*v**2 - 28*v + 3. Suppose 6*j - 13 = 29. Let q(m) = m**3 - 3*m**2 - 26*m + 10. Calculate the smallest common multiple of x(-9) and q(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/(2\/(-4)*1). Let f = -1 - h. Is f\/((-1)\/((-1317)\/3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k - 2901 = -7*k. Suppose 0 = 2*c - 10, c + c - k = -3*u. Suppose -5*l = 3*b - u, -3*b = l - 3*l + 136. What are the prime factors of l?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 154 + 97. List the prime factors of q.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.61 and 3382043?\nAnswer: 3382042.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -100 (base 2) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of -3*k - 1 + 21\/4*k**3 - 3\/16*k**4 + 3\/2*k**2 - 87\/20*k**5 - 15\/8*k**6. Find d, given that j(d) = 0.\nAnswer: -1, 2\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-24)\/3 + (-690)\/(-90). Let i = -8 - -5. Let d be 1\/i + (-1)\/3. What is the nearest to 2 in t, 2\/13, d?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1128.37 rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.362 to 1 dp.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -26 + 2. Let v = 0 + 0. Suppose -2*f + y + 25 = v, 76 = f + 4*f + 2*y. Calculate the remainder when f is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 397 - 396.9. Let w = 3.94 + 0.06. Which is the nearest to w?  (a) 1\/6  (b) -2\/7  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -2475799\nAnswer: -5\/2475799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 82*i - 2369. Let y be o(29). Let p(j) be the third derivative of -1\/20*j**5 + 0 + 5\/8*j**4 + 0*j**3 + 0*j + y*j**2. Determine h, given that p(h) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/(50\/15 + -3). Let r(a) = a + 7*a**2 - n*a**2 + 29 + a + 28 - a**3 - 55. Let w(h) = -h**3 + h**2 + 1. Give r(c) - 2*w(c).\nAnswer: c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 407950 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2187.452ml to litres.\nAnswer: 2.187452","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 18, 39, 58, 75, 90?\n\"Answer: -t**2 + 24*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.2  (b) -3  (c) 16\/5  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -361, 2\/11, -53, 1\/24?\nAnswer: -361","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -2*m + 16. Let x(v) = 11*v - 5 + 0 + 6. Is 22 a factor of x(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 315241 = -199667. Let a = d + -304908. Round a to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {c: 3, x: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = -o + s - 3, -2*o + 4 = -3*s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 8727 and -30091?\nAnswer: 38818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 912*w - 1602. Let a(j) = -5*j + 6. Let s(k) = -66*a(k) - 2*d(k). Differentiate s(r) wrt r.\nAnswer: -1494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14\/3 + 157\/33. Let f be -1 - (-29)\/6 - 3. What is the smallest value in -4, f, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6508?\nAnswer: 2, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*x + 74 = -2*j, -37*x = -43*x + 3*j - 45 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -86*u + 111*u = -125 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/(-2*2\/36). Let w(v) = -v**3 - 10*v**2 - 11*v + 13. Let k be w(z). What is the second derivative of -2*j**2 + 2*j**2 + j**4 - 29*j + k*j wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -151?  (a) 21\/8  (b) -94  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -49*v**6 + 4131*v**3 + v**2 + 6*v + 38363.\nAnswer: -5880*v**3 + 24786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p**2 + 2*p - 2*p)*(-8*p**3 + 2*p**3 + 0*p**3).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5811, -5754, -5709, -5682, -5679, -5706?\nAnswer: -5769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4\/3  (b) -0.06  (c) -5\/2  (d) -4\/9677  (e) -60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 10 = 0, -4*g - 2943 = -4*m + 5841. Let w = -179905\/82 - g. Is -1 >= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -604 + 4*p**3 + 604 + (-22 - 37 - p + 6)*(2*p**2 + 2*p - 2*p).\nAnswer: 2*p**3 - 106*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38417 = -508*p + 2244*p - 3404 - 24147 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - 4) + -1 + 4 - 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 133791, 267546, 401303, 535062?\nAnswer: 668823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 + 25*f + 3. Let c be m(-9). Let g = c - -208. Suppose -g = -5*k + 208. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -197514, -790995, -1780130, -3164919, -4945362?\n\"Answer: -197827*c**2 + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*c*t**3 - 1718090*c*t**2 - c + 16694*t**3 wrt t?\nAnswer: -42*c + 100164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2830 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 78 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-7)\/((-42)\/(-30)) + 91537. List the prime factors of m\/266 + 4\/(-38).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lillimbklddil. What is prob of sequence klb?\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 2*f**2 + 19*f - 91. Is j(21) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5251018973?\nAnswer: 17, 308883469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (62 - 52) + -61 + 30\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 3*n. Let f(y) = -3*y. Determine 6*f(p) + 5*w(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4595 = -5*l, -2*l - 6*b + 1816 = -2*b. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11202202010011 (base 3) to base 4\nAnswer: 21222223021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -8  (c) -2\/17  (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2832.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j**2. Let b(v) be the first derivative of 8*v**3\/3 - 226. Give -3*b(x) - 20*k(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 224, -2\/13, -2, 1, -44, -1.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3321 a factor of 174601662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from smmmssmsnssmsm. Give prob of sequence nmmm.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -5, -2\/25, -1\/6, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -3*h**2 + 2*h + 3. Let y(q) = 33*q**2 - 24*q - 36. Let s(g) = 12*f(g) + y(g). Let t(x) = 38*x**2 - x. Calculate t(s(k)).\nAnswer: 342*k**4 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-52)\/8 - -3)*2. Let o be (0 + 2)\/(n\/(-49)). Find the common denominator of (-30)\/(-4) - 4\/o and -49\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/8 of a micrometer in nanometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 64 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 348 or 349?\nAnswer: 348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 4*g + 5 = -2*b, 4*b + 16 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-1)\/((-3)\/(-3)) - -3. Suppose t*a = 5*z + 9, 2*z = a + 3 - 7. Solve 0*i - 16 = -3*r + a*i, -5*i + 6 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -5*c**3 + 3*c**2 - c - 3. Let p(h) = -4*h**3 + 4*h**2 - 3. Let g(n) = -5*d(n) + 6*p(n). Does 21 divide g(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = -5*c + 25, 4*c - 20 = -o - o. Suppose 0 = j + 4*b - 36 + 13, o = -2*j + 2*b - 4. Factor 2\/9*x**4 + 2\/9*x**2 + 0*x - 4\/9*x**j + 0.\nAnswer: 2*x**2*(x - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 57 a factor of 4073173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 7\/15 of a week?\nAnswer: 4704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 357 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 15*m - 2. Let u(b) = -4 + 1112422*b - 1112397*b - 1 + 3. Determine u(q(r)).\nAnswer: 375*r - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6355.9 or -11\/4?\nAnswer: 6355.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -189.3 + 188. Let b = -0.04 + -0.26. Let s = -1427.9 + 1428. What is the nearest to s in -0.1, t, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -93*q - 3132. What is d(-34)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 2:20 AM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - -3) + 0*(-1)\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3682*d + 95670 = 1556*d for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 5*n + 15. Let f(p) = 5*p + 12. Let h(i) = -5*f(i) + 6*q(i). Let o be h(16). What is o rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes before 7:00 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g - 3*g + 5*g)*(-2*g**2 + 2*g - 2*g)*(-2 - 4*g**2 + 2 + (-4*g + 4*g - g**2)*(1 + 1 - 5)).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3960 and 197235?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11032\/(-35)*10\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 18*n**2 - 9*n + 7. Let l(m) = 36*m**2 - 19*m + 13. Let u = 23 + -18. Let c(z) = u*w(z) - 2*l(z). Is c(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 51*(-122)\/(-183) - 2898\/81?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the third derivative of h**4\/24 + h**3\/2 + h**2. Suppose 36 = 33*n - 38*n - 3*a, -4*a = 2*n + 20. Give x(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((sqrt(130) + (sqrt(130) - -1*sqrt(130)))*-3 + sqrt(130)))\/(-6*(sqrt(1000) - 2*sqrt(1000)) + sqrt(1000)).\nAnswer: 8*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 81 + -69.4. Let t = g - 12. Let w = -1.1 + 1. What is the third smallest value in w, -4, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 54964 - 0.2\nAnswer: 54963.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (-20 + 11 - (-6 - (8 - 5)))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-5 + (-2*(-1 + sqrt(567)) + (2 + 1*sqrt(567) + sqrt(567) - sqrt(567)) + 1*sqrt(567)*-2*5)*3)**2.\nAnswer: -4158*sqrt(7) + 617514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v**3 - v**2 + v + 2. Let l be a(-2). Suppose -6*r + l = -r. Solve -3*w - 2*d + 7*d = -12, -2*d - 16 = -r*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from irrrfrfrfffffffrf. Give prob of sequence rif.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2)*(-4*o + 4*o + o) - 50 - 20*o + 50 + 0 - o + 0.\nAnswer: -19*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -148.7 + 149. Let v = -15 + 18.5. Let k = v - 0.5. What is the third smallest value in -2\/7, o, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 303950 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 2288 a factor of 165319497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*p + 2 - 80*p - 261*p.\nAnswer: -383*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146*x**2 - 15 + 1744*x + 25 - 1741*x - 10.\nAnswer: 146*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.2 - -0.8. Sort b, -1\/5, 3\/7.\nAnswer: -1\/5, 3\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gkkk when four letters picked without replacement from {k: 5, g: 5, j: 1, l: 5, a: 3}.\nAnswer: 25\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = -v + 18. Suppose 0 = c + 5*n + 5, 4*c + n - v = 0. Suppose -29 + c = -2*t. Solve 2*f + f - t = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 15, -3*g = 4*r - 2*r - 7183. Suppose -6*s = -3*s - g. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*((1*sqrt(19) - sqrt(19))*6 + -1 + -2)*-5)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-42)\/6)\/7*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*y + 31*y + 0*y**3 - 35*y - 10*y + y**3 - 19*y.\nAnswer: y**3 - 50*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 405 + -3504570?\nAnswer: -3504163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 57553 take away -1.4352?\nAnswer: 57554.4352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l = 2*l + 504. Let p be (-48)\/84 + (-128)\/l. Factor 0 + p*h - 4\/9*h**3 + 2\/9*h**2 - 2\/9*h**4.\nAnswer: -2*h*(h - 1)*(h + 1)*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 210\/11 smaller than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = t + 14*j - 13*j, 10*t + 4*j - 76 = 0. Let b = -5\/94 - -4109\/376. Is b at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.2  (b) -5  (c) 3  (d) -4  (e) 7152426\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 0*z**4 + 4*z**2 + 1\/30*z**5 + 0*z**3 + 0*z + 0*z**6 + 1\/210*z**7 + 0. Find the third derivative of o(n) wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*s + 0*s + 2*s + 1)*(4*s - 2*s - 3*s + (0*s + 3*s - s)*(-1 - 3 + 2) - 46*s + 49*s + 94*s + 2*s - 3 + 3) in the form y + k*s**2 + j*s and give k.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 6208988 to the power of 1\/2, to the nearest integer?\nAnswer: 2492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -14374.821 + 14381. Round a to one decimal place.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 238 - 238488. Round u to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -4*m - 9. Let q = 3 + -8. Let r = q - -7. Let u(w) = -3*w + w + w + 2*w + r. Calculate -2*k(s) - 9*u(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v - 8. Let t be l(-9). Let o = 5 - t. Suppose -5*a = 5*b - 60, -4*b = a - 35 - 13. Solve b + 8 = -o*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19952 divided by 2.\nAnswer: 9976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {r: 1, a: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 59 + 213. Suppose 0 = 5*b + c - s, 4*c - 59 = -5*b + 6*c. Solve 3*w + 7 = 5*h + 5*w, b = 3*h - w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.5 + 0.6. Let k = 0.90000048 + n. What is k rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1040 divided by -235889.\nAnswer: -1040\/235889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*k**2 - 4*k**2 - 5*k + k + 4*k**2 wrt k?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 10 - 6 = 0. What is the common denominator of (-3)\/(-4)*(-15)\/x and (21\/56)\/(18\/100)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 3 = t - 7, 5*t + q - 41 = 0. What is the remainder when 15 is divided by t\/(-28) - 185\/(-35)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3584676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5944692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the third derivative of -2*q + 0 - 10\/3*q**3 - 29\/12*q**5 - 1\/14*q**7 + 2\/3*q**6 + 25\/6*q**4 - 2*q**2. Determine b so that x(b) = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.59  (b) 91  (c) -2  (d) 0.2  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -9 divided by 3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 8. Solve -2*m + k = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4429, -5, 0.1, 2, -3 in decreasing order.\nAnswer: 2, 0.1, -3, -5, -4429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*z**2 + 91*z**2 - z**4 + 76*z**2)*(-35 + 35 + 10*z).\nAnswer: -10*z**5 + 1750*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 927 and 1751?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2923815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 - 4*s - 3. Let w(k) be the second derivative of 0 - 1\/6*k**4 - 2*k + 5\/2*k**2 + 7\/6*k**3. Let d(a) = -10*t(a) - 6*w(a). Factor d(l).\nAnswer: 2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 2*h**5\/9 - 256*h**4\/9 + 700*h**3 - 14464*h**2\/9 - 48862*h\/9 - 9280\/3 = 0.\nAnswer: -1, 5, 29, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (3\/(-84) - 42\/(-147))*-44. Put 7, j, -1, 4 in descending order.\nAnswer: 7, 4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 971796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {j: 3, s: 4, k: 6}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*v - 25949 = -25004 for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 5*i - 17 = 0, 4*p + 6*i - 20 = 2*i. Is p equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.52 - -0.5. Let v = -0.08 + n. Put -3, -4, v in increasing order.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 11:14 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 171207 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that -3*m**2\/4 - 603*m\/4 = 0.\nAnswer: -201, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**2 - 13698*w - 13695.\nAnswer: -3*(w + 1)*(w + 4565)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**2 - 3*m + 3. Suppose 0 = 3*w + 2*a - 14, -4*w + 0*a + 12 = a. Determine r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6700 = -685*g - 2590 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 12486 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5131 divided by 78.\nAnswer: -5131\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 7*w**2 - 7*w + 25. Let v(m) = -2*m**2 - 14*m + 40. Let k be v(-9). What is the hundreds digit of b(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14221020 + 4?\nAnswer: 14221024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -717*k**2 - 716*k**2 + 1451*k**2. Let z(y) = -4 - 2*y + 4. Determine z(n(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 4*1*9\/(-12). Let j = 0 - n. Sort j, -2, 0 in decreasing order.\nAnswer: j, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21.2396 plus -0.08117?\nAnswer: 21.15843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:57 AM and 1:09 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 80, -1, 3 in increasing order.\nAnswer: -2, -1, 2, 3, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 507997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + sqrt(304)*-2 - (2*sqrt(19) + sqrt(19) + 1 - (sqrt(2736) + 1)**2))*1.\nAnswer: 13*sqrt(19) + 2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 847\/726*(-4)\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l**2 + 8*l + 12. List the prime factors of u(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 208746111?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, r: 1, i: 1, v: 2, a: 2, j: 1}. Give prob of sequence aai.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3185000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 3\/19  (b) -0.3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 71499340 divided by -10\nAnswer: -7149934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 4*c**2 - c + 3. Calculate b(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of -677*h**4 - 20*h**2 + 677*h**4 + 127 - 61*h**5. Find the second derivative of b(q) wrt q.\nAnswer: -3660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 296767715.\nAnswer: 5, 59353543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33318 - 82*a**2 + 33317 - 82*a**2.\nAnswer: -164*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the first derivative of 29*m**3\/3 - 102*m**2 + m + 4155. Determine x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*5\/(-700)*-156\nAnswer: 39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 5*y - 71, -5*a + 107 = -y - 18. Let p be a\/4 + -4 - -1. Factor 6*c**3 + 12*c - 16*c - 4*c**5 + 2*c**p.\nAnswer: -4*c*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (213 + -212)*(-1 - -7). Sort s, -3, 3, 0.\nAnswer: -3, 0, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -68925*r - 150. Let c be p(2). What is c rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/(-8 - (4 + -5 + -3 + -2)). Solve 0 = -f*y - 19 + 49 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -3, -2\/5, 3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 262 - 398. Let i = v - -184. Calculate the highest common factor of i and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 4 = 2. Suppose -4*x + 10 = -2*x. Suppose -2*l + x = 4*k + 1, k = 0. Calculate the greatest common divisor of l and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((m**(-2\/25)*m)\/(m*m**6))**(5\/8))**41)**9 assuming m is positive.\nAnswer: m**(-7011\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 664836 divided by -19\nAnswer: -664836\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/1697 - -13586\/8485. Let q = 0 - -3. Find n, given that -g*n**2 + 24\/5*n**q + 18\/5*n**4 + 0*n + 0 - 14\/5*n**5 = 0.\nAnswer: -1, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -117192 divided by 2\nAnswer: -58596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-3)\/(-2) - 1)*86. Let u(l) = l**3 + 15*l**2 + 24*l - 13. Let y be u(-13). Let t = n + y. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 221 (base 3) to base 6.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2286034 meters in centimeters?\nAnswer: 22.86034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 20855253 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find x such that x**3\/2 - 47*x**2 - 300*x = 0.\nAnswer: -6, 0, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -20*x**3 + 29 - 16*x**4 + 22 + 14*x**4 wrt x?\nAnswer: -8*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 divided by -289.\nAnswer: -23\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/15*(-225)\/(-100)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0*k**3 + 397362*k**6 - k**3 - 2285*k**2 + k**3 - 399916*k**6 wrt k?\nAnswer: -306480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ssssoossossssoos. What is prob of picking 3 o?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q - 3*u + 195, -174 - 93 = -5*q + 4*u. Solve -q*l = -48*l - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 4*c - 22 = -4*i, 34 = -2*c - 2*i. Suppose 62 = -2*p + 6. Let g = c - p. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -30*d + 309. Determine p(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1654.03 + -1685. Let s = -263 + 294. Let i = s + a. Which is bigger: i or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -19\/324 and -125\/23412?\nAnswer: 632124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*y = -43*y. Solve -338*r + 333*r + 10 = y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -436, -1, 4 in increasing order.\nAnswer: -436, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 9.19796 nanoseconds?\nAnswer: 0.00000000919796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -15*l**2 + 1245*l - 5. Give s(83).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7290163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g - 3*g + 6*g)*(g + 5*g + g)*(1 + 2*g - 1)*(-2*g - g + 5*g).\nAnswer: 56*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8360 (base 9) to base 5.\nAnswer: 144004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(84) - 1*(2*sqrt(84) - sqrt(84))) + sqrt(84) - sqrt(84)))\/((-2*sqrt(96)*4)\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Do 3592 and 3595 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/q**(5\/3)*(q\/(q**(15\/7)\/q))\/q assuming q is positive.\nAnswer: q**(-38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + -2 - (-4 - -5 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 22*(-82)\/((-121770)\/(-675))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 + 100100?\nAnswer: 100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 1 + 3*c**2 - 94711*c**3 - 2*c**2 - 53437*c**3 - 4*c - 2*c**2. Let v be u(-3). Round v to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**4 + 26*r**3 + 204*r**2 + 504*r.\nAnswer: r*(r + 6)**2*(r + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 11*t + 3. Let i(n) = 690*n**2. Calculate i(z(g)).\nAnswer: 83490*g**2 + 45540*g + 6210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 3171408 and 36.\nAnswer: 9514224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*z + z + 3*z)*(-14*z - 226 - 5*z + 229) to the form c + g*z**2 + i*z and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*n, 2*n = -4*g + g + 27. Solve g + 1 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -101*w + 704. What is i(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2 - -2077b06?\nAnswer: 2077b08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4745\/36 + 1663\/12. What is the common denominator of 46\/729 and a?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, p: 5, y: 1, l: 1, n: 3}. What is prob of picking 1 n and 1 p?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (448\/168)\/((-2)\/(-9)) - -57798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.1 and 604.\nAnswer: 1268.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -28.4 and -4.639.\nAnswer: 131.7476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 156 + -155. Is 7 a factor of (-69)\/(-414) + (m - 1001\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -130*s - 78. What are the prime factors of f(-6)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -23377\/1932 - -8\/483. Let u = h - -77\/6. Is u not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 6*c = 6. Let f(m) = m**2 + 7*m - 5. Calculate f(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 5 - 638d8d?\nAnswer: -638d88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 280 and 12040?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z + 44. What is the tens digit of s(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 4*m - 70, 0 = 5*m - 4*l + 6 - 98. Let x be ((-20)\/(-6))\/(m\/390). Suppose -3*w = 4*c - 186 - x, 0 = 5*c + 20. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 - 0.2. Let r = 1.3 - 1. Let y = r + o. What is the closest to y in 0.4, -5\/4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(1872) + -1 - sqrt(1872) - sqrt(1872))*4 + 3.\nAnswer: -144*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -435.321 + 436. Let r = x - 0.63. What is r rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffffbffb. What is prob of picking 2 f and 2 b?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14283 = -85*r + 8822 + 8096 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 + 2*r - 15. Suppose 28 = -g + 7*c, c = 4*g - 10 + 14. What is d(g)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -203 - -441. Suppose -3*n = u - 8*n - 111, l = 2*u - 2*n. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 0. Let d = 0.04 + -0.07. Let z = d - -1.03. Which is greater: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of -l**5\/110 - 215*l**4\/66 - 1259*l**3\/33 - 95*l**2 - 26*l - 2. Suppose x(z) = 0. Calculate z.\nAnswer: -209, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -47 - -45. Let i = r + 9. Solve -4*n - 4 = -p + 5, 3*p = -5*n - i for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 times -574.88\nAnswer: 7473.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 749901?\nAnswer: 3, 249967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4030322153 a multiple of 621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 174902779.\nAnswer: 2203, 79393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iiciiikicgkkc. What is prob of picking 1 g and 1 k?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -102, -125, -148, -171?\n\"Answer: -23*s - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -2*m + m. Let z = 343 + -334. Let c = -3 + z. Calculate the greatest common divisor of m and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 11 - (1 - 4)\/(-3). Let y be (-3)\/(-14) + (-5)\/b. Put y, -5, 0 in increasing order.\nAnswer: -5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of o**6\/160 - o**5\/16 + 7*o**4\/32 - 3*o**3\/8 - 19*o**2. What is k in f(k) = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 3985, 3978, 3971?\n\"Answer: -7*l + 3992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 514258?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -h**3 - 29*h**2 + 2*h + 58. Let w be u(-29). Suppose 22*n - 6*n + 80 = w. Sort 5, -3, n in decreasing order.\nAnswer: 5, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xfxfdrfdxxxfdffrxr. What is prob of picking 1 d and 3 r?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 5, v: 2, j: 3}. What is prob of picking 1 j, 1 y, and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/5650722 and -52\/9.\nAnswer: 5650722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1059 and 115431.\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 352367 to the power of 1\/2, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 59 + -0.0232\nAnswer: 58.9768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -2*l + 16. Let j be x(8). Solve j = u - k + 2 - 0, 5*u + 5*k = 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 7*u + 1. Let j(b) = 2*b**2 + 351*b - 895. Let v be j(-178). Let i(w) = -15*w - 3. Give v*d(o) - 2*i(o).\nAnswer: -5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2970?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1792 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 4*p**2 + 2*p + 11. Let q be h(-4). Suppose -7*x = -q*m - 2*x + 76, 2*m = -2*x + 56. Does 27 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 146, 122, 106, 98?\n\"Answer: 4*a**2 - 36*a + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 1323 = 5*r - 3*l, 0 = r + l - 441. Suppose 8*y - r = y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -251.886 - -0.1.\nAnswer: -251.786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 6*z**2 + 3*z - 2. Determine k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -264*h + 5*n - 15 = -136*h - 131*h, 4*n = -2*h + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 5, -18501, 3888.\nAnswer: -18501, -4, 5, 3888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b - 7. Let k be 200\/(-18) + 4\/36. Let j be w(k). Solve 0 = -3*g - j*d + 19, 2*d - 6 = -g + d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 2*o**4 + 0 + 2*o - 5 + 80*o**3 - 78*o**3 in the form a + p*o**3 + b*o**2 + i*o**4 + n*o and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*l**2 + 205*l**3 + 7 + 50*l**2 + 15*l**2 - 9.\nAnswer: 205*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) -1  (b) 6  (c) -0.02  (d) 844\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 74303 + 248?\nAnswer: 74552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -48374, -96744, -145114, -193484, -241854, -290224?\n\"Answer: -48370*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 n when three letters picked without replacement from {b: 4, w: 2, h: 1, i: 1, n: 2, z: 5}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.34 - 0.06. Let w = 4.378 - -0.022. Let l = w + 0.6. What is the third biggest value in l, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5584 = 4*i - 3*u, 4*i - 13*u - 5600 = -14*u. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1079355 a multiple of 213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -408 + 416. Solve 3*t = 4*q + 16, 2*q = -0*t + 3*t - z for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = f + 2. Let p = 18 + -13. Suppose p*c = -0*c. Does c = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1202 + 1208. Solve 89*c = 86*c + o - 10, -o = -2*c - m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/7, 4, -1\/4, -7, 0.5, 682?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20)\/360*-3*102?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 3  (b) -4  (c) -2149  (d) -2  (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7494 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -14 - -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3 + 105*x**2 - 3168*x + 29524.\nAnswer: -(x - 61)*(x - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*a - 40 = 23*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*n + 136 - 136.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m*m**(1\/30))\/m*m**(29\/2) assuming m is positive.\nAnswer: m**(248\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37929358?\nAnswer: 2, 19, 283, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5873690.\nAnswer: 2, 5, 61, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**3*a*a**(3\/7)*a**(2\/5)\/(a**(2\/13)*a))\/((a\/(a*a**(-1\/3)*a))**(-4\/39)\/(a**(-6\/7)\/a**(-1))) assuming a is positive.\nAnswer: a**(1181\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = y - 6*y + 3*j - 1, 2*y - 5 = 3*j. Let o(q) = 2*q + 1. Calculate o(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - 3. Let w be 1\/x + (-6)\/208. Is -1 > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1337 is divided by 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2249475161 + 3451898197. Let r = -1202422980.00000108 + d. Let t = 56 - r. What is t rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k + 8*l - 5*l - 9 = 0, -2*k - 4*l - 2 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -150 by 15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, r: 5, a: 10, k: 1, f: 2, c: 1}. Give prob of picking 1 u and 1 c.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3779*m + 7607*m - 3787*m.\nAnswer: 41*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-32) + 100\/32. What is the first derivative of -16 + 2*u**3 + i*u**3 - 6*u**3 wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n + 11 = -5*c - 9, -8 = 2*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4637 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.93623 rounded to 1 dp?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = r + 2 - 4, 5*u + 5*r - 10 = 0. Suppose -3*m = -w + 7, u*m = -4*m + 4*w + 4. What is the remainder when 26 is divided by -9*(-1)\/(-4)*m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -114\/17 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aeaa when four letters picked without replacement from {i: 5, a: 4, e: 6}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 21*r - 42. Let l be a(8). Find the third derivative of l*f**5 + 1090 + 3*f**2 - 1074 - f**2 wrt f.\nAnswer: 7560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 8*m - 13*m + 85. Let n(f) = -15*f**2 + 6*f - 20. Let w(t) = 5*t**2 - 2*t + 7. What is m*w(p) + 6*n(p)?\nAnswer: -5*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 + 6617*t**2 + 8423*t**2 + 11243*t**2.\nAnswer: 26283*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h*(h\/((h\/(h\/(h*(h*h**(-2)*h)\/h)*h))\/h)*h)\/h)\/h)\/h)**(1\/21) assuming h is positive.\nAnswer: h**(2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 5649 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 708 minutes before 6:07 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times 69630806?\nAnswer: 348154030","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, h: 3, q: 4, g: 4, x: 4}. Give prob of picking 2 g and 2 h.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1577611769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 6*2\/(-6)*-2. Let r(a) = -a**2 + 3*a - 1. Let w be r(2). What is the common denominator of 101\/16 and (-812)\/(-48) + w\/k?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16 - -47. Let j = 32.3 - c. Let f = j + -1.299985. What is f rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 75 divide 4830975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 - (-2 - 33) - 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -23467 + 23467 - 116*x**2 in the form r*x**2 + s*x + c and give r.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3540 (base 6) to base 11\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3322318 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -291*c - 61*c - 1902 = -35*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 - 6. Let m = -12350 + 12355. Let c be 6\/(-4)*14\/(-3). Solve -w - c = -m*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 149625 is divided by 91?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -12096800 to the nearest 100000.\nAnswer: -12100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 270209977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -11\/14 and -97\/980?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 12\/3925 and -59\/30.\nAnswer: 23550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 432145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2\/4873 - 9732\/34111. Let f be (1\/(-2))\/(2\/(-24)). Let t(x) = x**2 - 5*x - 2. Let o be t(f). Which is the biggest value?  (a) o  (b) 4\/5  (c) h  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -23 - -1c?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 148*p - 1325. Give k(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 + -0.4. Let l be 3\/(-30) - (-902)\/4620. What is the fourth biggest value in 1, l, c, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-2*sqrt(13) + -1 + sqrt(117) + -4)**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 599077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -2580 + 2583. Let a(q) be the third derivative of -3\/20*q**5 + 0*q + 0*q**4 + 0 + 2\/3*q**c + 4*q**2. Differentiate a(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 28 + 82 = 5*h, -h + 29 = g. Let l = h + -16. Suppose 4*w - 14 = p, -w + 0*w - 5*p - 7 = 0. Calculate the remainder when l is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121469*q + q**2 - 121469*q.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 28*i**2 - 3*i - 9 + 2*i - 26*i**2. What is the tens digit of w(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 101231 + -55868. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 6*v**2 + 89*v - 180. Give k(2).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2334*k + 184. Let r be c(-6). What is the greatest common factor of 4 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 12557, 12547, 12531, 12509?\n\"Answer: -3*l**2 - l + 12561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 + 14. Suppose -f*s = 2*s - 126. Solve -3*c = -2*w + 4*w - s, 2*w + c = 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*r = 4*y - 85, 170*r - 172*r = -3*y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = 5*a + 2 + 4, -b + 32 = 8*b + 2*a + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(275) + sqrt(275) + (1*-1*sqrt(275) - sqrt(275) - sqrt(275)))\/sqrt(5))\/(sqrt(11) + sqrt(22)\/(sqrt(8)\/sqrt(4)) + (sqrt(11) - sqrt(11)*-2*-3)).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3027 and 2.\nAnswer: 6054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffuuuuzzufufuuuu. What is prob of sequence zuf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3 - 17*i**2 + 1 - 4 + 550729*i - 87*i**3 - 550712*i. Let z(p) = 29*p**3 + 6*p**2 - 6*p. Give 6*h(v) + 17*z(v).\nAnswer: -29*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*q - 4*n = 13*q - 19, q + 13 = 3*n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.44, 3, 4, -5 in ascending order.\nAnswer: -5, -0.44, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (39\/((-6045)\/(-124)))\/(114\/(-5))\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7182 and 7006972.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b**3 - 7*b**3 - 5*b**3 - 10*b**3.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 322 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlcculcuclcqcjccqcq. Give prob of sequence lc.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4445680926 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 2*j. Suppose -292*s - 150 = -298*s. Let q(t) = s - 25 - 99*t. Determine q(u(c)).\nAnswer: -198*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 AM and 3:21 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*q + 19*q + 108 = 0. Solve q = o + x, -41 = -o - 3*o - 5*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 325531901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 17 - -16 - -2 - 23\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -29 - -40. Differentiate 10*f - m*f - 14*f - 6 + 0 wrt f.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 78*k - 860. Give w(10).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -11b268c + 5d?\nAnswer: -11b262d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 8*c**3 - 15*c**2 + 22*c + 28. Give t(5).\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four fifths of a litre in millilitres?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 413035747 to the nearest integer?\nAnswer: 20323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 256*n - 246*n = 50. Suppose -4*y + 40 = n*r + y, 12 = 4*y. Let m be (-40)\/((4\/2)\/(-4)). What is the highest common divisor of r and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23219 is divided by 2068.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1105087089?\nAnswer: 3, 368362363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 136 = 2*u - 2*a, a + 310 = 5*u. Let g = u - 39. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 6042463 and 5593.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -58*u + 135. Let i(v) = -28*v + 68. Let d(a) = -5*i(a) + 3*s(a). Find the first derivative of d(l) wrt l.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(162) + -4*(sqrt(2) + 1))**2.\nAnswer: -10*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -304 - -310. Suppose s = -5*t - 5*p + 26, -5*t + 30 = -5*p. Solve 5*l - 5*j = -10, t*j - 2 = l - 0*j for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 12.4. Let k = 0.4 - m. What is the closest to -1\/4 in k, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 3*s**2 - 92*s - 67. Calculate the remainder when y(33) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 117, 814, 2697, 6360, 12397, 21402, 33969, 50692?\n\"Answer: 99*n**3 - n**2 + 7*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 6 + 3 = 3*a, 0 = 4*a + 3*k - 17. What is the remainder when 7 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.1694 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -35 + 50. Solve -y = -4*p - 5*u + 5, 0 = -2*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -9*u - 13. Suppose 18 - 26 = 4*l. Let f be a(l). Suppose -3*i = f*w - 10 - 5, 5*i = -4*w + 25. Solve 2 = j - w*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3, -2, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1080776 and -0.2?\nAnswer: 216155.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 180 divide 16947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, 1, 2, 4, 347?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 7*u - 2. Let f(y) be the third derivative of -1\/24*y**4 + 0*y + 0 - 45*y**2 + 1\/6*y**3. Calculate -5*f(l) - i(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**2 - 4*w - 30. Let i be o(9). Suppose -16*j + 316 = -i*j. Is j a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that j**5\/3 + 163*j**4\/3 + 323*j**3\/3 + 161*j**2\/3 = 0.\nAnswer: -161, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -38*j**3 + 4*j**2. Let p(h) = -721*h**3 + 77*h**2. Determine 4*p(m) - 77*x(m).\nAnswer: 42*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2653681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:54 AM and 1:36 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -58 + 39. Is -18 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 25007 and 3517161.\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 divided by -1842920?\nAnswer: 1\/368584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 194, -25, -3.\nAnswer: -25, -3, 21, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 13 - -23243?\nAnswer: 23256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -1033*r + 3134. Calculate the least common multiple of 1690 and b(3).\nAnswer: 11830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 223, 540, 1075, 1834, 2823?\nAnswer: 4048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -155, -161, -165, -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 55 a factor of 18247168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f = f. Let j = -10269 - -10265. Which is the biggest value?  (a) 113  (b) f  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13820?\nAnswer: 2, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -29000951 divided by 1?\nAnswer: -29000951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 115a1 (base 11) in base 2?\nAnswer: 100000100110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 9816, 39368, 88656, 157680, 246440, 354936?\n\"Answer: 9868*k**2 - 52*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n - 3*n + 2*n)*(0*n**2 - n**2 - n**2) + (n - 3*n + 0*n)*(-70 + 70 - 9*n**2).\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5 and 0.02.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 593*a + 188. Let y(t) = t - 8. Let m(x) = -g(x) - 2*y(x). Is m(-21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (222 - 198) + -47 + 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 3*l. Let i(d) = d. Let j(c) = c**2 + 3*c - 2. Let s be j(-4). Let r(b) = s*h(b) - 5*i(b). Calculate r(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2*(-1)\/(-4)*0. Suppose 858*j - 861*j + 15 = 0. Sort j, t, 0.2 in descending order.\nAnswer: j, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 376581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 70, 3, 1, 0 in decreasing order.\nAnswer: 70, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.03604 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*q = -11*q + 15. Let p(k) = -2*k**3 - 25*k**2 - 12*k - 1. Let g(n) = n**3 + 12*n**2 + 6*n + 1. Let m(l) = 13*g(l) + 6*p(l). What is m(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35472 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 70 - 67. Suppose -2*a - 3*a = -20. Suppose -v - p*h = v - 16, 0 = a*v - 4*h - 12. Solve 7 = 3*s - v for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -89, -3, 879, -5 in descending order.\nAnswer: 879, 1, -3, -5, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 78 divided by 5607\nAnswer: 26\/1869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 2*p**2 + 8*p + 4. Let o(q) = -6*q + 26 - q**2 - 55 + 26. Let w(f) = 3*i(f) + 4*o(f). Let a(z) = 37*z**2. Calculate a(w(r)).\nAnswer: 148*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 81.2347 take away 167.15?\nAnswer: -85.9153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-7)\/2*(-1)\/((-91)\/(-1))\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -122626 (base 7) to base 12\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -129 + 7*b**2 - 125 + 391 - 137.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 162\/(-18)*1*(-4)\/4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(-4)*59\/295?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -7*y - 5. Suppose 4*w = -n + 29, -3*w + 8*n = 6*n - 8. Let l(t) = 4*t + 3. What is w*f(i) + 11*l(i)?\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 12\/2339 in -2\/11, 0.9, -0.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(-1*sqrt(171)*-4 - (sqrt(171) + sqrt(171) + (sqrt(171) - 3*sqrt(171)*-2))))\/((1*((sqrt(324) - sqrt(324)*-1) + sqrt(324)) + sqrt(324))*3).\nAnswer: -5*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7121114 + -4683.\nAnswer: -7125797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1213*j + 1208*j - 21 = -2*s, -2*j - 6 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - 3*d - 0 - 27, 3*v - 22 = 4*d. Suppose -v*l = -l. Solve l = -0*a + 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the second derivative of -7*d**5\/120 + 11*d**3\/2 - 6*d. Let s(l) be the second derivative of g(l). Calculate s(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (0\/(-3))\/((-8)\/(-4)). Suppose 4*i - 6439 - 3293 = w. Suppose i = 5*r - 3*z, -4*r + 0*z + 1968 = 3*z. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -5 + sqrt(133)\/(3*sqrt(7)) - -3*2*sqrt(76)*2.\nAnswer: -7 + 73*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1372*a**4 + 2156*a**3 + 924*a**2 + 148*a + 8 = 0. What is a?\nAnswer: -1, -2\/7, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -18, -17, -14, -9, -2, 7, 18?\n\"Answer: g**2 - 2*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/2 and 175\/6 - (-3)\/(15\/(-20)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.3 - 5. Let o = -0.3 + u. Let r = -0.1 + o. Do -1 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:07 PM and 6:06 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 16\/2 - 6\/2. Let i(g) = 28587 - 28587 - s*g. Let h(x) be the first derivative of x**2 + 2. Determine i(h(l)).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 395*v + 655*v - 20717 - 17083 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that 18*y**2 + 223010*y + 39654832 = 0.\nAnswer: -12209, -1624\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 202 - 2*g**2 - 202.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -594 = -5*d - 109. What is the remainder when d is divided by 96?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*r + 2*r - 3*r)*(3*r + 7*r**3 - 3*r) + 3*r**4 - 4*r**4 - 4*r**4 as a*r**3 + l*r**4 + h + d*r**2 + u*r and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30 - 58. Let v be (p - -94)*4\/3. Let i be 1 + 7\/(2 - 1). Calculate the greatest common divisor of i and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 + 2*z - 4. Calculate d(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from srrsrrrrrrrsrr.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 12*q**2. Let i(x) be the second derivative of x**7\/840 + 2*x**4\/3 + x**3\/2 - 50*x. Let f(u) be the third derivative of i(u). What is y(f(k))?\nAnswer: 108*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b11 (base 15) to base 3\nAnswer: 10102021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 5*j = -25, -13*p - 5*j = -0*p + 25. Let g(f) be the second derivative of 0 + 8*f - 1\/8*f**4 + p*f**2 + 1\/2*f**3. Factor g(t).\nAnswer: -3*t*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3384)\/11844)\/(5\/3*(-12)\/42)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4329*c**2\/5 + 82878*c\/5 + 14808.\nAnswer: -3*(c - 20)*(1443*c + 1234)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7.47 - -6.47. Which is the biggest value?  (a) -2\/27  (b) -47  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*s - 2192 = -32985. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -25\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1270382932?\nAnswer: 2, 7, 13, 29, 151, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: (87\/(-30) - -3)\/(1\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1297*u**3 - 53*u**3 + 43*u**3 + (-3 - 2*u**2 + 3)*(4 - 4 - u).\nAnswer: -1305*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5718?\nAnswer: 2, 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 - 34 = 69*u - 111 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Product of -555 and -0.2.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 2, g: 1, q: 3, h: 1, x: 3, p: 1}. What is prob of picking 2 h?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t - 6*o + 9*o = 7, -3*o - 1 = 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9 - 15. Let c = q + 6.2. Let d = c + -0.199. What is d rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 55180 + -43472. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (92\/4 + 5)\/(-2). Let n be 498\/168 + (-4)\/o. Let z(q) = -q**2 - 14*q - 9. Let h be z(-13). Which is greater: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*r**2 + 34*r**2 + 15*r**2 - 87*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 2*o = -116. Let s be o\/5 - 4\/(-20). Let z(w) = -w**3 + 6*w**2 + w + 2. What is the units digit of z(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 11782 = -9*t - 4*l, 13*l + 7839 = 2*t. Calculate the lowest common multiple of t and 3322.\nAnswer: 43186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 - 2\/4*2. Let u(s) = 4*s**2 - s - 1. Let g be u(-1). Let f(a) = -9*a**3 + a**2 + 3*a**3 + a + g*a**3 + a**3 + 1. Determine f(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 430 minutes after 5:30 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + -4321?\nAnswer: -4314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 32*k - 8*k - 23*k + 265*k**2 + 68*k**2 + 395*k**2. Let t(f) = f. Determine p(t(g)).\nAnswer: 728*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 103 - 1. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 180 and 405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3136*y**3 - 14146272*y**2 - 85974780*y - 130541300.\nAnswer: 4*(y - 4517)*(28*y + 85)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -88 + 88 + h. Let n(j) = -3*j. Let u(x) = 5*x. Let w(b) = -7*n(b) - 4*u(b). Give w(r(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 128*j - 644*j - 1542*j + 533*j.\nAnswer: -1525*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 67880 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, 139, -4, -11 in descending order.\nAnswer: 139, -4, -11, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 < -3439248?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29836963 is divided by 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*u + 4*u + 0*u)*(3 - 3 - 5) - 2*u + u + 6*u to g + b*u and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6532 <= -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 12:28 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1197*43517.\nAnswer: 52089849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 46*d + 7. Let v be h(1). Find the third derivative of -8*g**2 - v*g**2 - 26*g**3 + 191*g**3 - 41*g**2 + 18*g**2 wrt g.\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -5*d + 66. Let i = -29 + 33. Solve -n + 17 = 4*v, -v + d = i*v + 2*n for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -535 divided by 5.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 1529, 1528, 1527, 1526, 1525?\n\"Answer: -o + 1530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/3)*o)**(-2\/9)\/(o**1)**(-3\/40) assuming o is positive.\nAnswer: o**(-239\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -92 - -97. Suppose -d*n + 5794 = 1274. Is n a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 105897 is divided by 1342?\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 64066091956 - 13*p**3 - 64066091956 + p**3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 126, 90, 58, 30, 6, -14, -30?\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 432194770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -2*h + 16. Let w be p(11). Let s(n) = 2*n**2 + n + 1. What is the smallest common multiple of s(-3) and 4\/(-5)*165\/w?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*a = -42*a - 3*h + 26, 2*a + 5*h = 6*a - 36 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + o + 50. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -5761 bigger than -3313289\/575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (7\/(-6) - 0) + (-39)\/(-26). Let i = -1 - -6. Let g be (1\/(-14))\/(1\/12). Sort g, c, i in ascending order.\nAnswer: g, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18170599?\nAnswer: 18170599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5850, -5847, -5842, -5835, -5826, -5815?\nAnswer: -5802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -139 = -44*b + 125, 4*y = b - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57 - 63*y**3 - 61 - y - 61 + 179.\nAnswer: -63*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c - 3*w = 22, 16*w = -16*w + 28*w - 16 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*w - 6195 = k - 9*w, 2*w = -k - 6165. Round k to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -195*-860048.\nAnswer: 167709360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -2*a - 9. Suppose 0 = 2*z + a*z + 4*d - 104, -62 = -3*z - 2*d. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a - 2*a**4 + 0*a)*(-3 + a + 3) + 23751*a**5 - 7 + 7 - 49*a**4 - 23341*a**5 + 2.\nAnswer: 408*a**5 - 49*a**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 3, z: 2}. Give prob of sequence kzk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -422*a**2 + 493*a.\nAnswer: -844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (11 - 3 - 2) + -4 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifty-three quarters of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**3 - 9*u**2 + 12. Suppose -4 = -l - 5*q, 5*l + 1 - 47 = q. Let c be a(l). Calculate the greatest common factor of c and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - (-5 + (12 - 5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) be the third derivative of -k**5\/60 + 5*k**4\/8 - 7*k**3\/3 - 3*k**2. Let i be m(14). Solve g + i = -q + 2, -28 = -5*g + q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the second derivative of -5*t**3\/6 - 5*t**2\/2 + t. Let r = 1724 - 1728. What is the tens digit of m(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 3*i + 3 = 4*h, -5*h - 5*i + 15 = 0. Let b(n) = -n**2. Let d(r) = r**2. Let c(t) = h*d(t) + b(t). Let m(u) = 9*u**2. Determine m(c(g)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 173*j = 200 + 665 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35258\/1530 - 64\/1440.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -23 + 51. Suppose -2*g - 42 = -4*h, 2*h + 24*g - t*g = 12. What is the remainder when 14 is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 472903 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/5 + 11598*r\/5 - 34812\/5.\nAnswer: 2*(r - 3)*(r + 5802)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 0 - 15 = -f, -m + 5 = 0. Which is the fourth biggest value?  (a) 5\/6  (b) f  (c) -3\/5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*u - 4*u - 296800000. What is u rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-15) - 812\/290?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 l, 1 y, and 1 e when three letters picked without replacement from {l: 2, y: 5, e: 4, j: 2}.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -21 - -23. Suppose -5*p + 4*b = d*b - 10, -4*p + 8 = -4*b. Solve -3*c + p = 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -p + 3. Let j be m(12). Let h = -6 - j. Let i = 1.5 - 1. Which is the nearest to -1\/2?  (a) h  (b) i  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 4 + 7)*(-16*c + 1 - 1)*(-20*c + 20*c - 9*c**2).\nAnswer: 432*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:45 AM and 1:27 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -13124 - -12895. Which is smaller: a or -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**3 + 3*d**2 + 6*d - 4. Suppose 5*b + 4*r - 23 = 0, -13 = 4*b - 5*b + 2*r. Suppose 0 = b*o - 4*o - 12. Let j be a(o). Solve 0 = v + 9 - j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -13?  (a) 0.04  (b) -5  (c) 4  (d) -9\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13313139*k**4 + 4205129 wrt k?\nAnswer: 53252556*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -12*q**2 - 13*q + 3. Let o(z) = -11*z**2 - 13*z + 2. Let m(w) = 3*n(w) - 4*o(w). Is m(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 - 7*r - 1. Let s be p(-7). Which is greater: s or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 25 = 45. Let m = 57 + v. Calculate the remainder when 42 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -78723711, -78723709, -78723707, -78723705, -78723703?\n\"Answer: 2*u - 78723713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*sqrt(320)*-4 + -5.\nAnswer: -160*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.01 + -0.11. Let l be 72\/48 + 15\/(-2) + 2. What is the nearest to 2\/5 in 0, l, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 + -28 - (5 + (2 - 4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence egy when three letters picked without replacement from {y: 2, g: 4, e: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11278, 22715, 34152, 45589?\nAnswer: 57026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -58 + 60. Let m be (9 - (-84)\/(-9))\/2. Which is the smallest value?  (a) p  (b) m  (c) -0.036  (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/2 in 1\/3, 0.6, -0.02?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3573861 weeks to microseconds.\nAnswer: 216147113280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14619737?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -3*p - 0. Let d = 103010 + -45839638\/445. Let t = d - -2\/89. Which is the nearest to t?  (a) 0.3  (b) 0  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.5 - 7.5. Let n = w - -7.4. Let k = n + -0.4. What is the closest to k in -0.2, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2716\/3 - 905. Which is the third biggest value?  (a) -1  (b) 3  (c) m  (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -408, 1, 581, 3 in increasing order.\nAnswer: -408, 1, 3, 581","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -h - 14 + 208*h**2 + 2*h**2 + 0*h - 166*h**2 in the form j + l*h + g*h**2 and give j.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4\/7  (b) -1  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-3)\/(-3) - (-2 + 1). Let k(a) = -2 + z + 2*a + 3*a + 6 + a**2. Let m be k(-4). Which is greater: 1\/2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.1  (b) 0.02  (c) 1.1  (d) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.10571 less than -9?\nAnswer: -8.89429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -135*t = 276 + 66 - 72 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(68))\/sqrt(4) - -4*sqrt(17)*2)*-6 + -5 + 5*(sqrt(17) + 0 - sqrt(17))*5)*5.\nAnswer: -210*sqrt(17) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 2*p**2\/7 - 12*p\/7 + 16\/7 = 0.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.007092 + -0.0114894. Round b to four decimal places.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*t**3 + 8*t + 28*t**3 - 1359 + t**2 + 32*t**3.\nAnswer: 4*t**3 + t**2 + 8*t - 1359","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bpbz. Give prob of picking 1 b and 1 z.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 30*b**2 + 2*b. Let f(c) = -439*c. Give w(f(d)).\nAnswer: 5781630*d**2 - 878*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4609 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*u + 6 - 4 - 2.\nAnswer: -31*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 take away -127.72234614?\nAnswer: 127.22234614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -71281*v*x**2 - 470*v*x - 5*v + 19*x**2 + 80*x wrt x?\nAnswer: -142562*v + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*b - 105974 = -0*b - 3*b - 100152 for b.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.298 to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -22 + 6. Let k = 11 + l. Let c = 0.0121 - 1.0121. What is the second biggest value in k, c, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.172+39689\nAnswer: 39688.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*h - 2*r - 3382, -4*r = -3*r - 4. Let q = h + 11725. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*s + 462 - 456. Which is smaller: 16 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 802*m - 753*m - 694085 = 0. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/((-50)\/15)*(4 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -1796*v + 1810*v - 263 + 473. What is b(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 7, d: 3, o: 6}. What is prob of sequence mo?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = q + 7. Let v be d(-3). Suppose -v*h + 5*u = -755 + 179, -3*h - u = -451. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 at least -59445\/7178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*a**2*b**3*f**2 - 286*a**2*b**3*f + 198947*a**2*b*f**2 - 2*a**2*b*f + a**2*b - 7*a**2 - 9*b**3 wrt f.\nAnswer: 4*a**2*b**3 + 397894*a**2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 5244 times -1\nAnswer: -5244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 382251974?\nAnswer: 2, 13, 89, 97, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(3993)*2)\/(sqrt(1200)*-1).\nAnswer: -11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 159977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yny when three letters picked without replacement from {n: 1, w: 4, a: 3, y: 7, m: 1, g: 2}?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (-42 - (2 - 2))*(902\/(-44))\/41?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2.6445 + -0.0545. Let n = m - 3.59. Let q = -4.6 + -0.4. Which is the closest to 3\/7?  (a) -2  (b) n  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 84676101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/543700 and -97\/650.\nAnswer: 7068100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -2*t. Let o(p) = 95*p. Let a(y) = -7*y. Let i(v) = 85*a(v) + 6*o(v). Determine l(i(m)).\nAnswer: 50*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1079?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + h + 13 = -0*h, 3*h + 9 = 0. Let x(n) = -n**3 - 7*n**2 - 10*n - 2. Let o be x(r). Let c = 77 - o. What is the remainder when c is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 + -4. Let n = 5 + x. Suppose 2*i - 99 = -s, -153 = -3*i - n*s + 3*s. Calculate the greatest common factor of i and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the second derivative of 6*o**5\/5 + o**4\/12 + o**3\/3 - o**2 + 300*o. Give a(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15 - (120 + -41) - (-73 + 55)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and 14747885?\nAnswer: 58991540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31.19343 days to minutes.\nAnswer: 44918.5392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*b - 8315 - 9172 + 4617 = 0. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 34972\/9867 - -1\/897. Calculate the common denominator of v and -65\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (91295\/(-1922))\/(10\/12)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -55528 divided by -1?\nAnswer: 55528","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-20)\/(-15) - 1)*2127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 243 is divided by 46?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*y + 5*t = 22*y + 11, 4*y + 4*t - 8 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 149360.451 to the nearest 1000.\nAnswer: 149000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2612 + 770. What are the prime factors of 47\/282 + m\/12?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0\/((-42)\/6)*-2*2\/(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -46*g**2\/5 + 234*g\/5 - 4 = 0.\nAnswer: 2\/23, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 190680205 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8910)\/63*(-14)\/3. Suppose 11*x - h = -4*x. Calculate the highest common factor of x and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.857531664 - 55.\nAnswer: -54.142468336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 586669 and 171010?\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = b + 7*g - 25, -3*b - 5*g = 134 - 145 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5*(3 + -2) - (10 - -2 - 17). Solve -3*t = -4*j + 3, m = -9*t + 7*t - 4*j + 18 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m = -26*w - 275 - 40 + 45, -746*m + 5*w + 71 = -742*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of q**8\/6720 - q**5\/30 - 3*q**2. Let p(b) be the third derivative of m(b). Let o(d) = -2*d - 3*d + 6*d. Give p(o(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -29, -60, -103, -158?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-2)\/(-5)*(-20)\/6 + 117146\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(49)\/(sqrt(112) + (sqrt(112) - (sqrt(112) + sqrt(112)*-5)) - sqrt(112)).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20280?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*d + 45 + 114. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**4)**50*(n\/n**(1\/2))\/n**14 assuming n is positive.\nAnswer: n**(373\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 21036692393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -8*r**2 + 5*r + 122. Let n(o) = -2*o**2 + o + 33. What is -2*c(s) + 9*n(s)?\nAnswer: -2*s**2 - s + 53","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 55373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/15?  (a) -4  (b) -4\/9  (c) -2\/1185  (d) -1  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15 - -9. What is the highest common divisor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1483.\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/((-17)\/(34\/20)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 9874312577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of p*w**6 + 19*p*w**2 + 2163*p - 59228*w**6 wrt w.\nAnswer: 120*p*w**3 - 7107360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*n**5 + 14*n**4 - 54*n**3 + 58*n**2 - 20*n = 0. Calculate n.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 13 = 3*b, 2*x + 3*b = x - 7. Suppose s + 2 = f, 10 = 2*f - 5*s - 6. Put f, x, -5 in descending order.\nAnswer: x, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4361 divided by 1821\nAnswer: 4361\/1821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 103\/666 + 5\/74. Suppose 2*c - y + 11 = 7*c, -2*c + 8 = 4*y. Suppose 3*t = -26 + c. Put 1, s, t in increasing order.\nAnswer: t, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1567 + -1799. Which is smaller: v or -228?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 PM and 3:24 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) -2\/7  (b) 1  (c) -2\/5  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 53 divide 761707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 3*r + 6 = 0. Solve r*x + 2*x = 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the third derivative of -c**6\/40 - 3*c**5\/5 - 5*c**4\/2 - 437*c**2. Factor s(m).\nAnswer: -3*m*(m + 2)*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -39*b**4*n**2 - 55905*b**3*q - 1411*b**2*n**2 - 1394*q wrt b?\nAnswer: -936*b*n**2 - 335430*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2057881 and 3?\nAnswer: -0.6173643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 40.24 + -40.11456. What is d rounded to 3 decimal places?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 2*p + 13*v - 11*v, 3*p = -4*v - 19. Sort -15, -16, p in ascending order.\nAnswer: -16, -15, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -15, -34, 10, 257, 6, -2 in increasing order.\nAnswer: -34, -15, -2, 6, 10, 257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9 + 3 - 1 - 1 - 9) + 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4648*a - 9031*a = -834419 for a.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1.8, 67, -3, 3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -11010010110 (base 2) in base 8?\nAnswer: -3226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23 + -25.25. What is q rounded to 1 decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -8157.85028 + 8139.06. Let x = -18.8 - l. What is x rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 155 and 15035.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.31 to two decimal places.\nAnswer: 1.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05 - -31.4366875.\nAnswer: 31.4866875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1\/4 or -362?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 78 + -62. Suppose 2*v = -2*w - v + 2, -3*v = w - 7. Let m(x) = -x**3 - 6*x**2 - 8*x - 3. Calculate the lowest common multiple of m(w) and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -219 + 400. Let f = d + -328. Does 9 divide -2*3*f\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/18  (b) -0.3  (c) -4  (d) 2  (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-1))**(-7\/6)*(r\/r**13)\/(r*r**(-5\/4)) assuming r is positive.\nAnswer: r**(-127\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 13 + 1 - 10 - 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 + 103*d + 5351. Calculate v(141).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1.6 * 17.237\nAnswer: -27.5792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1920, -2, 0, -3\/8, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 670950 divided by 31950.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*h**3 - 372*h**2 - 556*h - 204.\nAnswer: -4*(h + 1)*(h + 17)*(5*h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 8867843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 114706280 divided by 5.\nAnswer: 22941256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 317472*t**5 + 3*t - 54871?\nAnswer: 6349440*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-44 - 6 - -62) + 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -6341.5077 rounded to the nearest 10?\nAnswer: -6340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-703*i**2 + 2408*i**2 - 911*i**2)*(-4 - 2 - 12) as t*i + j + o*i**2 and give o.\nAnswer: -14292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3585102 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -2*t**3\/3 + 16192*t**2\/3 + 32408*t\/3 - 129568\/3 = 0?\nAnswer: -4, 2, 8098","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, 1860, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hpphhhhpphhpp. What is prob of sequence hh?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -1) + (-5 - -7)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7696811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 + 3\/((-3)\/(-2)). Let r = 4 + d. Let b = 17 - 9. Solve 0 = r*k + 5*t - 6, 3*k - 3*t = 2*k - b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 16*q + 15*q - 36*q + 5 to t + b*q and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cwcccbwcwccwccccaca. Give prob of picking 1 c and 1 a.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006226962977 to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 51*i**4 - 11*i - 45. Let x(m) = -10*m**4 + 2*m + 9. Let n(u) = -2*h(u) - 11*x(u). Find the first derivative of n(o) wrt o.\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30140 divided by 2740.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -928 + 1134. What is the remainder when i is divided by 106?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 5, v: 2, u: 2}. What is prob of sequence ovuo?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1\/5016 + 158009\/25080. Let z = 555 + -1067\/2. What is the common denominator of d and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 4, n: 7, c: 1, l: 2}. Give prob of sequence cklk.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14 is divided by 1\/(2\/12) + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 t, 1 n, and 1 s when four letters picked without replacement from navsstavj.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 224*l - 136. Let x(f) = 5*f - 3. What is 6*q(r) - 272*x(r)?\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 - q**2 + q - 3. Let d be c(3). Suppose 4*b = b + 4*m - d, 6 = 2*m. What is the smallest value in -1, -2\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12371 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 w(s) = 2*s. Let p(b) = 2*b**2 + 2. Calculate p(w(z)).\nAnswer: 8*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = 3 - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((sqrt(112)\/sqrt(4))\/sqrt(2))\/((sqrt(42)\/sqrt(54) - sqrt(7)) + sqrt(7)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 986318162?\nAnswer: 2, 493159081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3819*q - 1251. Let u(w) = -16*w + 1. Let g(p) = -b(p) - 36*u(p). What is the derivative of g(h) wrt h?\nAnswer: -3243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -6. Which is the biggest value?  (a) 0.4  (b) -4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 6*d - 4. Let f be h(1). Let x be (-42)\/(-105)*f\/4. Which is the nearest to 0.1?  (a) 6  (b) x  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-three eighths of a litre in millilitres?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 458 = 126. List the prime factors of q.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7.25 - 0.25. Which is the second smallest value?  (a) y  (b) -3  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-z + 1 - 1)*(60288*z + 1 - 60280*z - 11) in the form x + n*z + r*z**2 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -60239 + 122092. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -373559, -373551, -373559, -373589, -373647, -373739?\nAnswer: -373871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 127 minutes before 11:37 AM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00007651 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 17238838 and 934?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(40)\/sqrt(8))**2 - sqrt(5))*-3.\nAnswer: -16 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -37473*u**3 - 64514?\nAnswer: -112419*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express 985*r**2 - 479*r**2 + 505*r**2 + 1460*r**2 as j*r + m + l*r**2 and give l.\nAnswer: 2471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 65439*w**2 + 214*w**5 - 6*w**5 - 65323*w**2 wrt w.\nAnswer: 12480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50 - 52. Put 3, 5, -4, v in increasing order.\nAnswer: -4, v, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 66*q**2 - 47*q - 344. Is 29 a factor of t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, u: 8, i: 1, d: 2}. What is prob of sequence ji?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 985002 + 817642 = 76*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(252)\/sqrt(192))\/(-3*(sqrt(3)*4 - sqrt(3)))*-4*-2 + -5.\nAnswer: -5 - 2*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -6*n**2\/11 - 6818958*n\/11 - 6818952\/11 = 0?\nAnswer: -1136492, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-24) - (-4)\/(64\/136).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 28\/(-7)*-2*3\/96\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2119857 - s**2 + 339*s - 2119861 + 291*s to g*s + m + u*s**2 and give g.\nAnswer: 630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -3.765.\nAnswer: 3.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 0.05, 1\/4, -1, -4, 0, 4, 8932?\nAnswer: 8932","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6979 + -2578. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3551\/603 + (-1)\/(-9). Let j(k) = 17*k**2 - 6*k + 6. What are the prime factors of j(y)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -2 + 772536?\nAnswer: 772534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine m so that -2*m**4\/5 + 2*m**3\/5 + 24*m**2\/5 + 8*m\/5 - 32\/5 = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 238922?\nAnswer: 2, 67, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h - 11*h = 2200. Let z = 112 + h. Suppose 0*d + 3*a - 37 = d, -2*d = -z*a + 90. What is the common denominator of d and -13\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = 5*n**3 + 6*n**2 + 6*n. Let b(f) = f**3 + f - 1. Let r(q) = -4*b(q) + w(q). Suppose 5*y + 16 = -i - 18, -6 = 3*y - 3*i. Determine r(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17609?\nAnswer: 17609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 599850 and 39990.\nAnswer: 599850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-5)\/(g*g**(-10\/7)) assuming g is positive.\nAnswer: g**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of -64 + 28\/3*d + 13\/3*d**2 - 2\/9*d**3. Factor z(b).\nAnswer: -2*(b - 14)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 542, 540, 538, 536, 534?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -6*w**3 + 5*w**2 - 4*w + 8. Let r(o) = 11*o**3 - 9*o**2 + 7*o - 15. Let v be 32\/(-9) - (-11)\/(396\/(-16)). Calculate v*r(q) - 7*a(q).\nAnswer: -2*q**3 + q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + (-2 - 4) + 1 - (-15 + 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 87037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + 5*o = 83, 0*o + 69 = 2*x - 3*o. Suppose -x*n = -21*n - 24. Solve -4 + 24 = n*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - ((-12 - -4) + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1158965*n**2 + 616653.\nAnswer: 2317930*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/3)\/((-1)\/(30\/(-4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/11149, 3, -0.4, 0.5 in ascending order.\nAnswer: -0.4, 2\/11149, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 7*r**2. Let u(c) = 2 + 20*c + 21*c - 1 - 42*c. Let l(v) = 15*v + 3. Let i(q) = l(q) - 3*u(q). What is s(i(m))?\nAnswer: 2268*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -84 + 88 + 0 + -4 - (1 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1864)\/699 - 4\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -3*m - m. Suppose -3*l - 6 = -4*z - 3, 0 = -5*l - m. Which is greater: z or -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -36*f**4 + 6*f**2 - 6*f + 21. Let p(v) = -v**2 + v. Let j(b) = -6*p(b) - u(b). Differentiate j(l) wrt l.\nAnswer: 144*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x*x\/(x\/x**(2\/7))*x**(6\/13) assuming x is positive.\nAnswer: x**(159\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (1612\/(-234) + (-1 - -6))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/300 and -77\/500.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/4*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 17 + 7)*(-d + 2*d**4 + d).\nAnswer: -20*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 613.7707mg?\nAnswer: 0.0000006137707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes before 8:24 AM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/27 and 4\/33?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 944 = 4*y, 0 = 4*y - y + 4*p - 715. What is the lowest common multiple of 7 and y?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*s + 6 = 2*m - 2*s, 5*s = 2*m - 15. Suppose -m*v = -v - 560000. Round v to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes after 12:24 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*j + 52 = -14 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -3290000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -3122550 divided by 5\nAnswer: -624510","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 67268 and 6080.\nAnswer: 102247360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1220*s**2 - 4 + 5 + 1261*s**2 + 1 - 2.\nAnswer: 41*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -0.114, 1, -0.3, -5\/4?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**3 - q - 4*q**3 - 2*q)*(-8*q - q + 4*q + 3 - 3 + q + (2 - 2*q - 2)*(2 - 4 + 4) - 2*q + 1 - 1 + 3*q - 47 + 47).\nAnswer: 21*q**4 + 21*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -8, -25, -6302?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5668427*y**5 + 4*y**2 - 25482*y - 84 wrt y?\nAnswer: -340105620*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6344 - 1829 = 334*u + 4185. Put 1, 0, u, 2, 4 in descending order.\nAnswer: 4, 2, 1, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-28)\/21*(1 + -6 + 2). Suppose -3*c + 36 = -3*b, -2*b + d*c - 5*c = 33. Does 47 divide (b\/5)\/(-1 + (-248)\/(-260))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19.7956 - -1158\nAnswer: 1138.2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 87.2124 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4375 and 2870?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -38 * -273.\nAnswer: 10374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10318*w**3 + 4852*w**3 - 2908*w**3 + (1 + w**2 - 1)*(4 - w - 4).\nAnswer: 12261*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-7)\/(14\/30))\/(-1). Solve f + 2*f - p = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1061876462.\nAnswer: 2, 530938231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 65319828?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 18 + -14. Suppose z + 4*c - 13 = 1, 16 = 2*z + f*c. Solve -z*d = -1 - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(1 + 0)*-1. Let f = -11 + 22. Let b = f - s. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 422 = 200*a - 31*a - 1268. Suppose -5*j + 75 = -0*j. Calculate the least common multiple of a and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 9*h - 1. Let o be v(1). Solve -o = k + 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 4*r + 5. Let y(w) = 6*w + 8. Suppose -m - 3*t = -22, -3*m = -0*m + 2*t - 94. Let p = -32 + m. Let o be p\/1 + -4 + -4 + 1. What is o*y(x) + 8*c(x)?\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 24 = z + 5*y, -3*y + 28 = z. Calculate the greatest common divisor of z and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 150 and 14.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + (-3)\/(-20)*45.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 + b9d4?\nAnswer: b9d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(1715)*-2*1)\/((sqrt(84) + sqrt(84)*2)\/sqrt(12) - (sqrt(35)\/(sqrt(5) + sqrt(15)\/sqrt(3)) - sqrt(7) - sqrt(7))))**2.\nAnswer: 98000\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10002201111110 (base 3) to base 10.\nAnswer: -1647903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/20*(25\/(-15))\/1.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 12.18  (b) -1\/2  (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 7*i. Let p(a) be the third derivative of -a**7\/1680 + a**5\/5 + 62*a**2 + 1. Let y(l) be the third derivative of p(l). Calculate w(y(z)).\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 90787770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 641 minutes before 8:56 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -42*f**3 + 6504*f**2 + 7*f - 7935895 wrt f.\nAnswer: -126*f**2 + 13008*f + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 304497079 to the power of 1\/2, to the nearest integer?\nAnswer: 17450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-126*b - 218*b - 223*b)*(-2*b - 2*b + b)*(-b + 0*b + 0*b).\nAnswer: -1701*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*u = -3*u + 65 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**3 + 3*k**2 + 7*k - 2. Let q(a) = -4*a**3 + 11*a**2 + 29*a - 9. Let g(m) = -2*q(m) + 9*t(m). Calculate g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4660645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 0. Let j = 0.06 - 1.26. Let g = -1 - j. Which is the smallest value?  (a) g  (b) v  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 196*u + 60 + 490 - 281*u + 88*u to o + z*u and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y**1*y))\/y**11 assuming y is positive.\nAnswer: y**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4433)\/(-62)*(-27)\/(-198))\/(21\/8).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 411272 - 2417071\/6. Suppose -4071 = -4*k - 2*n + 29727, -2*k + n = -16893. Let m = f - k. Find the common denominator of -93\/4 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -84483084 divided by 4023004\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*n**3 + 0*n**3 - 3*n**3)*((2 - 2 + 1)*(0 + 4 - 2) - 5 - 5 - 21).\nAnswer: -29*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x = -t - 1, -65*x + 69*x = 4*t + 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 276 and 44298.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-30)\/q)\/(q\/(q*(q*q*q*q**29*q)\/q)))**(1\/19))**43 assuming q is positive.\nAnswer: q**(43\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.60627 and -0.5.\nAnswer: -0.303135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9216)\/(-30400))\/(-48)*50\/60?\nAnswer: -1\/190","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3185 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -428891381 and -0.5.\nAnswer: -428891381.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -40*c**3 + 2*c**2 - 4*c - 4. Let t be p(3). Let x be t\/(-495) - (-2)\/9. Factor -x*z - 6\/5*z**2 - 8\/5 - 1\/5*z**3.\nAnswer: -(z + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15505 + 13445?\nAnswer: -2020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -111183, -111451, -111719?\n\"Answer: -268*p - 110915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-236)\/7*(-6)\/36. Let r = -30\/7 + z. Find c, given that -2*c**3 + 0*c + r*c**2 + 0 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -569 and -37 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1250 and 12858325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*i - 43*i = -33. Let l be (-5)\/(110\/4) + 35\/i. Solve -2*s - 4 = s + 4*r, 0 = l*r + 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 55, 74, 109, 166, 251?\n\"Answer: c**3 + 2*c**2 + 6*c + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3*i**3 - 9*i**2 + 7. Let d be j(-3). Let t be 38 + (d\/21)\/((-2)\/(-24)). Which is smaller: 43 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3320*y**2 + 85 - 10381*y**2 - 83 to m*y + p + i*y**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 76 from 32.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -49 - 693\/63 - -48?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0.03458*120.6\nAnswer: 4.170348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -t + 9. Let j be o(5). Suppose 15 = 5*x + 5*p, -4*p + 2*p = j. Suppose x*b = 2*b. Solve b*k + 4 = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**4 - l**3 - 21*l**2 + 41*l - 20.\nAnswer: (l - 4)*(l - 1)**2*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 6 + 6 - 2. Let h(d) = -d**3 + 10*d**2 - 16*d + 2. Let g be h(m). Sort -5, g, -19 in decreasing order.\nAnswer: g, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 401 is divided by 128?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 2*f = 7*f + 177, -3*f = 3*v - 153. What is the remainder when v is divided by 2\/8 - (-126)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.17166 - 0.1798363. What is f rounded to four dps?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l = 5*v, -2*l + 1 = -v - 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7 and 85?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1830 and 101931.\nAnswer: 1019310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4*l - 78 = 0. What is the greatest common factor of l and 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8.051 - 0.051. Let g = 7.99 - n. Let y = 20 + -18. Which is the nearest to y?  (a) 0.1  (b) g  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -52*x + 1931. What is the greatest common factor of x and 969?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 6*t**2 + 50*t. Let r(m) = 7*m**2 + 52*m. Give -6*b(u) + 5*r(u).\nAnswer: -u**2 - 40*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -127.53128 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 7 + (-8)\/2*20\/40. Solve 7*q + 47 = x for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -3.6487.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 43738151783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 s when two letters picked without replacement from {q: 3, c: 3, d: 1, s: 2, b: 3, g: 7}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -394121*n**2 - 6*n - 56746 wrt n?\nAnswer: -788242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9639 and 600270102?\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 27893066 divided by 3?\nAnswer: 27893066\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000467396 to 7 dps.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 10597908 divided by 919?\nAnswer: 11532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9478 = -157*f + 1785 for f.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**2 + 5*m**2 + 8*m**2)*(0*m - 3*m + 2*m)*(9 + 1 + 2).\nAnswer: -132*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 3643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 + 8*v + 4. Let b be c(-7). Is 4 + b\/(-3)*3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1678.\nAnswer: 2, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.7 and 7485.\nAnswer: 7484.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, t: 7, q: 5}. What is prob of picking 2 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*g - 5*m + 6, -1030*m + 24 = -4*g - 1034*m for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17254606711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = -3*a**3 + 2*a**2 + a. Let b be (-10)\/(-4)*220\/275. Give r(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8 + 4*f + 8)*(4*f - f + 0*f) - 2*f**2 + 3*f**2 + 4*f**2 + (f - 6*f + 22*f)*(0 + 0 - 5*f).\nAnswer: -68*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 25, -t - 2*t + 19 = 2*q. What is the third derivative of 137*r**q + 0*r**3 - 145*r**2 - 4*r**3 wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -101*d**2*y**3 - 34972*d**2*y**2 - 2*d**2*y - 7*d*y**3 + 2*d*y**2 - 2*d*y + 10*d - 844 wrt d.\nAnswer: -202*y**3 - 69944*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d**4 + 623*d**3 - 114585*d**2 + 6716925*d - 19136250 = 0. What is d?\nAnswer: 3, 135, 350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2944453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(325) + -4 + -1 + sqrt(325))**2 - (2 + (sqrt(13) + -3)**2 + (-2*sqrt(143) + sqrt(143))\/sqrt(11)).\nAnswer: -93*sqrt(13) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 583 and 1947?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -2*f + 242. Let g(q) = 60511*q**2. Determine h(g(c)).\nAnswer: -121022*c**2 + 242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/(d*d**(-1\/8)\/d)))**(-5\/11)*d**(-2\/21)\/(d*d*d\/(d**(3\/4)\/d)*d*d))**15 assuming d is positive.\nAnswer: d**(-48865\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -0.1  (b) 2  (c) -23632  (d) -0.033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6.9658 + -0.0342. Which is the closest to 0.2?  (a) -2  (b) 2\/9  (c) y  (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -64*q. Let j(k) = 2*k - 5910. Give j(s(x)).\nAnswer: -128*x - 5910","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17 + -873.2.\nAnswer: -856.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-2\/3)\/(f\/(f**7*f))*(f**(1\/3))**(-26))**(-39) assuming f is positive.\nAnswer: f**91","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.02  (b) -0.1  (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - -18 - 4) + (-38 - -2) + 23 + -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/9)\/(x*x\/(x\/(x\/((x**3*x)\/x)))))**(-46)\/((x**6\/(x\/(x**0*x)))\/((x**(-3\/4)\/x)\/x*x*x*x**(3\/2)*x)) assuming x is positive.\nAnswer: x**(-1441\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4.04715  (b) 5  (c) 2\/5  (d) -0.2  (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -1a99 (base 15) to base 4\nAnswer: -1122021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7420, 14252, 25638, 41578, 62072, 87120?\nAnswer: 116722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 893 and 665?\nAnswer: 31255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -3*p - 1. Suppose 2*v + 6 = -0. Calculate the remainder when 31 is divided by r(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -46 + 50. Solve -5*v - 3*s = 6, -6 = -w*v + 2*s - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b**3 + 0*b**2 + 69*b**2 - 69*b**2.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 3010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -132249.1351 rounded to the nearest one thousand?\nAnswer: -132000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -23 + 22 + 6 + 0. Let h be (-4 - -2)*-4 - 2. Let u be (-2)\/8 - (-74)\/8. Solve -t*s + h = -u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 5*t + 30. Determine s(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 105 - 72. Let d(i) be the second derivative of i**3\/6 + 11*i**2\/2 + 2*i. Let o be d(0). Calculate the highest common divisor of o and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 75\/197 + -34463\/49644. Find the common denominator of -113\/18 and c.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 36*u**4 - 80*u**4 + 267*u**4 - 3*u**2 + 276 + 0*u**2 wrt u?\nAnswer: 5352*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 45 = 84. Let t = q + 67. Let i be 42\/t - (0 + 1). Which is the closest to i?  (a) 5  (b) -0.3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-13)\/((-468)\/8))\/(1\/9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (-3 - -5 - 7) + 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -14396 and 0.2.\nAnswer: -2879.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -25 times -339.1983\nAnswer: 8479.9575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 2*y + 126. Let r be 3 + -1 + -2 - (-1 - 3). Suppose -x + 8 = h, 2*h - 5*x = r + 5. Calculate the highest common factor of h and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2724  (b) -5  (c) -32  (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, s: 15}. Give prob of sequence ss.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 119 = 5*t, 0 = 4*t - 51*v + 56*v - 87. Solve -t*a + 46 = 23*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-34 - (23 + 7 + 0)) + 19.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = -2*r - 5. Let h be n(-8). What is the least common multiple of 24\/(2*1) - 1 and ((-2475)\/(-20))\/h - (-2)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2 + 2992008*p + 1119013984008.\nAnswer: 2*(p + 748002)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 1 + 1 + 4 + 1 - 1 + (-2 + 4 + 3)*(-2 + 2 - 2))*(-4*d + 2*d + 3*d) in the form b + m*d and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -89, -197, -343, -527?\nAnswer: -749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 39*n - 204 - 293 + 961 = 347 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 413184840 is divided by 650?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1349, -1307, -1263, -1217, -1169, -1119?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -23364 - -25?\nAnswer: -23337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 5*s = 0, 2*a + 5*s - 12 - 9 = 0. Determine v, given that -191*v**4 + 20*v**a + 196*v**4 - 5*v**3 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = -0*r - 4*u - 750, -5*u + 121 = -r. Let b = r + 385. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 5*z - 18*z**3 + 0 - 27*z**2 + 0 + 19*z**3 - 4 + 28*z**2. Let g be k(2). Solve 5*t = -4*t - g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -106.91 times -1655\nAnswer: 176936.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2)\/2*5\/(-5). Let f = -9.47 - -9.47. Which is the nearest to f?  (a) j  (b) -1\/3  (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -p**2 + p**2 - 10*p**2 + 7 - 9. Let j(t) = 2*t. Determine s(j(u)).\nAnswer: -40*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -934323\/229 - -4080. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13692 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 110.0868 - 110. Let t = 1.0342 + v. Round t to two dps.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -589212*l + 588385*l - 101721 = 0 for l.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/152 and (26445\/1254 - 10) + -11.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8660.\nAnswer: 2, 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21254825 is divided by 1927?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 306 and 10642?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((1\/2)\/(-1)). Suppose 5*c = w + 15 - 3, c + 2*w = -2. Let l be (c + -10)*6\/(-8). Solve 0 = -4*t + s*p, 0*t + 2*p = -2*t - l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r + 46 - 61 = -2*z, 4*z = 4*r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2 - 15*o - 1. Let x be (0\/(-1))\/4 - -16. Let r be a(x). Suppose -h + r = z, 5*z - h = 2*h + 75. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4780239 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-6)\/(-162))\/(4\/18). Let h(i) be the second derivative of 3*i + c*i**3 + 0 + 0*i**2. Let t(a) = -6*a. Give h(t(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, s: 1, j: 3, v: 1, f: 10}. Give prob of sequence sv.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 192848 bigger than 192846?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 289502 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 95887, 3, 10, -26 in ascending order.\nAnswer: -26, 3, 10, 95887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the second derivative of -7*m**5\/10 + m**4\/4 + m**3\/2 + 17*m. List the prime factors of h(-2).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 387*f**4 - 619*f**3 - 17*f**2 + 57125*f - 694 wrt f.\nAnswer: 4644*f**2 - 3714*f - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3527335437 + 1?\nAnswer: 3527335440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 - 16. Let p be ((-6)\/z + -1)*-1. Let g = 0.2 - 0. Which is the nearest to p?  (a) 0.5  (b) g  (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 50 = -46. Let g be ((-14)\/(-7))\/((3 - 1)\/204). Suppose -d - 46 = 2*i - g, 10 = -5*d. Calculate the greatest common factor of z and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7471525 is divided by 7647?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 19*p - 13 - 82. Let g(x) be the third derivative of 0*x + 0*x**4 + p*x**2 + 7\/6*x**3 + 0 + 1\/15*x**5. What is the first derivative of g(a) wrt a?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k = -p + 10, -k - 6*p - 6 = -11*p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 44535367 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*f**2 - 7840*f + 22182 wrt f.\nAnswer: -10*f - 7840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00015142383 rounded to six dps?\nAnswer: -0.000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 714 and -1382?\nAnswer: 2096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ybygmgmbmiyr. Give prob of picking 1 g, 1 y, and 1 m.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -8*j - 368. Let t be u(-46). Solve -42 = 14*m - t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 82\/45 + 1621\/90. Calculate the common denominator of f and -23\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5.86386 micrometers?\nAnswer: 0.00586386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 228187.7 meters?\nAnswer: 228187700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - u + 17 - 6, 0 = -2*a + 3*u + 2. Let r be (-97)\/(-7) - 4*a\/140. Calculate the greatest common divisor of r and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(5)*-1 - (sqrt(20) + -4).\nAnswer: -3*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00462802245 rounded to five dps?\nAnswer: 0.00463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:01 PM and 4:14 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(78)\/(sqrt(6)*2) - (sqrt(13) + 1)*5.\nAnswer: -9*sqrt(13)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-8)*(-64)\/(-12)*(-6)\/(-3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 3 + (3\/12 - 249\/84). Let m(t) = t**2 + 2*t + 1. Let d be m(-1). Which is the second biggest value?  (a) d  (b) q  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -3364*l**4\/9 + 1276*l**3\/3 + 6248*l**2\/9 - 304*l\/3 + 32\/9 = 0.\nAnswer: -1, 2\/29, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1029 is divided by 996.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -287 = c - 5*j - 288, c - 31 = -40*j + 36*j - 3 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (107 + 372 + 224 + 297)*(-13 - 61*b + 13) to the form a*b + i and give a.\nAnswer: -61000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -69 - -894\/13. Let u = -25\/52 - d. Let i be (4\/(-6))\/2*-3. Is i not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1138, 1105, 1050, 973, 874?\nAnswer: 753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -51 - -47. Put b, 2\/3, 4 in increasing order.\nAnswer: b, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 44\/3 - 22\/33. Let u(x) = 1 + s - x - 3. Let m be u(11). What is the second biggest value in -0.5, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -614 + 604 = 5*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 18130712 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Express 10 - 15 + 14*f + 11 + 1 - 12*f + 4*f**3 as v + w*f + t*f**2 + i*f**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 2*m - 23. Calculate f(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**2 + 12*n - 22. Let o be m(10). Let x(l) = -9*l + 14. Is x(o) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2988)\/(-36)*178\/178.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c**3 + c**2 + 26. Let f be d(0). What is the highest common factor of f and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 10:08 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2 + -41?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let 946*y**2 - 1932676*y - 4086 = 0. Calculate y.\nAnswer: -1\/473, 2043","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*d = -12*d + 144. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ht when two letters picked without replacement from mhhdmmddhtmtm?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the first derivative of -a**2\/2 + 21*a + 2. List the prime factors of y(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-5) - (-4)\/5)\/((-3)\/(-60))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (76880\/(-240))\/((-2)\/(-24)). Round o to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - r - 4 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -i - 0*s - 2, -4*s + 14 = 5*i. Find the third derivative of i*m**4 - 3*m**2 - 6*m**4 - 3*m**5 + 4*m**5 wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (16 - 18 - (-289)\/146)*(-12 + 30 + -20)?\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 100715526 is divided by 25178870?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, q: 10, t: 6}. What is prob of sequence tq?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -408, -412, -420, -432, -448, -468, -492?\n\"Answer: -2*f**2 + 2*f - 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 276*w**3 - 839*w**3 + 289*w**3 + 276*w**3.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 545, 1088, 1631, 2174, 2717, 3260?\nAnswer: 3803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + -35440530?\nAnswer: -35440523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1281200408, 1281200407, 1281200406?\n\"Answer: -f + 1281200409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:30 PM and 4:08 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -11 + (-3 - -4) - (25 - 32)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-10) - 54\/(-15). Let p(f) = 6*f**2 - 4*f + 2. Let j be p(w). Suppose -j + 2 = -2*c + 5*g, 2*g = c - 19. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-21 - 1) + (-11 - 13) + 28\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 5*o - 13, -5*d + 5*o = o - 2. Let x(u) = u + 2. Let f be x(d). Suppose 4*v + 14 = 3*p, 4*p - 5*v - 12 - 8 = f. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) be the third derivative of m**6\/720 - m**4\/6 + 23*m**2. Let x(f) be the second derivative of r(f). What is x(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((42\/693)\/((-9)\/(-54)))\/34?\nAnswer: 2\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1103123 (base 9) to base 11\nAnswer: -375400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2422, -1\/5, -5.\nAnswer: -2422, -5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w**3 - 11*w**2 + 3. Let u = 689 + -678. What is f(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-3)\/(-2))\/((-10)\/(-260)) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000689 rounded to six decimal places?\nAnswer: -0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3307 is divided by 472.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11)\/(77\/21))\/((-12)\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 1 and 5\/9187809 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -6*w + 14. Let v(p) = w*p - 2*p**2 - 1 + 7*p**2 - 4*p**2 + p**2. Let d(u) = -u**3 - 4*u**2 - 3*u - 2. Let q be d(-3). What is v(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13470 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3833087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 20639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 + 9*j + 17. Give v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 765492.4 weeks?\nAnswer: 462969803520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 4*g + 0 - 3*g + 0. Let s be -2 + 1\/(2 + -3). Let i(t) = -2*t - 2. Determine s*n(x) - i(x).\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*r - 2*r - 2*r + (2 + 0 - 3)*(5*r - 2*r - r) + 1 - 1 - 2*r)*(15*r**2 + 97 - 97) as f + a*r + i*r**2 + s*r**3 and give s.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f - 3 = 5*f + 4*c, -4*f = 3*c + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 28 = -4*d, -83*r - 4*d = -97*r + 44 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -12441, -49842, -112177, -199446, -311649, -448786, -610857?\n\"Answer: -12467*j**2 + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2 + 7*r + 7. Suppose 85 + 43 = -4*t. Let c = t + 39. Let a(u) = 4*u + 1. Let o(l) = -2*l. Let d(m) = 2*a(m) + 3*o(m). Determine c*d(k) - 2*b(k).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 = -5*b - 2*y + 39, b + 5 = 5*y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(264)\/(-2*sqrt(300)))\/(6*(sqrt(275) - 2*sqrt(275))).\nAnswer: sqrt(2)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 85 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 846*t + 863. Give x(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1736 + 1737.957. Let x = -0.043 - p. Is x > 0.15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h. Let k(b) = -b**3 + 14*b**2 + 16*b - 14. Let o be k(15). Let i(l) = 4*l + 1. What is o*i(y) + 2*z(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 570426*s**2 - 9 + 9 - 570428*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 0*h - 9 - 10 + 2*h. Let j = -1512 - -1524. Calculate the remainder when 22 is divided by g(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 213 and 28350.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 15) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -v**4 - v**4 + 0*v**4 + (-v**2 + 6*v**2 + 3*v**2)*(-4 + 4 - v)*(106 - 180 + 127)*(17 - 8*v - 17) as m*v + t + p*v**2 + f*v**4 + n*v**3 and give f.\nAnswer: 3390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -37 - -86. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -5 - (56\/12)\/((-2)\/6). Solve -21 - c = 2*f - 5*v, 16 = 4*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = -5, 5*g = -1391*n + 1390*n - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five eighths of a milligram in micrograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 2*b - 11. Let s(o) = o - 5. Let c(u) = -6*a(u) + 13*s(u). Let x(r) = -2*r - 2. Determine -5*c(k) - 3*x(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -3*h**2 - 5*h - 85. Let a(s) = 2*s**2 + 4*s + 68. Let x(f) = -5*a(f) - 4*j(f). Let t(o) = 359*o. What is x(t(d))?\nAnswer: 257762*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(11) - ((0 + sqrt(1331) + sqrt(11))**2 - sqrt(11)))*-4 + 0)*6.\nAnswer: -240*sqrt(11) + 190080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-4\/7))\/x**8)\/((x\/(x\/(((x\/(x\/(x*x**9*x))*x)\/x)\/x)))\/x**(-7)) assuming x is positive.\nAnswer: x**(-172\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 8*j - 46. Let p be c(6). Solve -102 = p*s - 108 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1)*i\/((i**(1\/6)\/i)\/i))\/((i\/(i**(-5)\/i)*i)\/(i*i*i**(-2)*i)) assuming i is positive.\nAnswer: i**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7328 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = 4 + 5. Suppose -5*w = 2*y - 5, -3*y + y + w - 13 = 0. Let k be 5 + y\/((-15)\/(-6)). What is the greatest common divisor of k and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 148 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 100222012111011 (base 3) to base 9\nAnswer: 10865434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 0. Let i(s) be the second derivative of s**4\/12 + s**3\/3 + 7*s**2\/2 - 339*s - 5. Give i(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14532, -14592, -14662, -14748, -14856, -14992, -15162, -15372?\nAnswer: -15628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 46977 and -0.4.\nAnswer: -18790.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -60*b - 26915 + 26915 + (4*b - 6*b + 3*b)*(1 + 2 - 1) + (-4 + 3 + 3)*(0*b + 0*b + b) + 5*b - 2*b - 2*b - 1 + 1 + 2*b.\nAnswer: -53*b","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -41*s - 117 - 252. Is 3\/s*(-7 + -21200)*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1401, -2803, -4205, -5607, -7009, -8411?\n\"Answer: -1402*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 - ((25 + 2 - 10) + -8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - (-5)\/10) + 161890\/4. Let w be (a\/480)\/(-9) + 4. Let x = -1\/32 + w. Which is smaller: x or -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-102)\/(-5) + 4*2\/(-20). Let j = 23 - p. Suppose -j*w - 2084 = -7*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 28951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - 831029?\nAnswer: -831025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 11\/3 or 4?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.6913724 months in years?\nAnswer: 0.1409477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((19\/38)\/((-3)\/2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1151 is divided by 155?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -19*c**3 + 11*c**2 - 3. Let a(s) = -9*s**3 + 5*s**2 - 2. Determine -5*a(f) + 2*q(f).\nAnswer: 7*f**3 - 3*f**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 412 (base 5) to base 14.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to -1\/10076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -12*z**4 - 244*z**3 + 448*z**2 + 176*z = 0?\nAnswer: -22, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.37 + 2638?\nAnswer: 2637.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 235248720 and 2142.\nAnswer: 705746160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 233046204?\nAnswer: 2, 3, 29, 669673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -17*u - 93*u**2 + 17*u + 16*u**2 as n + h*u + t*u**2 and give t.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.08893547*1\nAnswer: -0.08893547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -25 + 85. Calculate the smallest common multiple of y and 33.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 + 8*m**2 - 9*m + 10. Suppose -3*z + 4*y - 9*y = -11, z - 13 = 3*y. Determine r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*u - 975 = 11*u. Calculate the remainder when u is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28ab3b (base 13) to base 3.\nAnswer: 1212112211010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -b**3 + 89*b**2 - 166*b - 706. Calculate i(87).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 146*p**2 + 2*p**3 + 71*p - 77*p - 148*p**2 - 15 + 10. Determine t(4).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.16?  (a) -5\/4  (b) 49  (c) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 21739 + -21694. Let i(w) = -w**3 + 46*w**2 - 46*w + 50. Give i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -740830 (base 9) to base 3\nAnswer: -211100221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 69 = 3. Let t(h) = 7*h - 20 - 5*h - h**2 + 4*h + 6*h. Let b be t(8). Calculate the greatest common divisor of b and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + 14 - (1 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 30\/4*18\/(-27). Let s(w) = -2*w - 4. Let c be s(x). Suppose 3*f - 132 + c = 0. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21604029?\nAnswer: 3, 761, 9463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -554 (base 12) to base 11.\nAnswer: -653","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = -4*a + 4, 3*f + 3*a + 48 = 0. Let q be (-1)\/(((-15)\/f)\/(-5)). Solve -2*m - 5*d + 22 = -m, d = -q*m + 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*u + 5*l = -27*u - 15, -4*u - 3 = l. Solve u = 9*z - 2*z + 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 less than -117713.2638215?\nAnswer: -117695.2638215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.6 + 5. Let w be -3*(1233\/243 + -5). Which is the closest to 0.2?  (a) -0.4  (b) y  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aa when two letters picked without replacement from aafafaaa?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 286 = -514. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -8 + 4. Let d(n) = -2*n**3 + n**2. Let x be d(1). Let f = -0.08 + 0.18. Which is the nearest to x?  (a) f  (b) r  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of 0 + 1\/6*z**3 + 0*z**2 + 74*z. Let h(a) = -2*a. Give r(h(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -137 - -137.1. What is the nearest to -0.1 in 5, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - 370.9.\nAnswer: -359.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132) + (sqrt(132) + sqrt(132)*-1)*4 + sqrt(132))\/((sqrt(12) + 1*sqrt(12))*5).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.1 and -4604.\nAnswer: -4604.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 238\/3 - 81. Let v = -41 - -85.4. Let z = v - 44. Which is the third smallest value?  (a) -0.5  (b) z  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1472 + -1462. Let m(u) = -u**2 + 2*u + 74. What is m(p)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1051*t - 3*t**3 - t**3 - t**3 - 282*t.\nAnswer: -5*t**3 - 1333*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 960, -362510 in increasing order.\nAnswer: -362510, 5, 960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*m**2*o + 5*m**2*w**2 - 2*m*o - 2*o*w**2 - o*w + 40*o wrt m?\nAnswer: 4*m*o + 10*m*w**2 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x. Let m(g) = g**2 - 3. Let d(p) = m(p) - 3*z(p). Give d(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3114 divided by 3\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(4\/5)\/(u*u*u**(1\/4)*u))\/((u*u*u**(-4))\/(u\/u**(1\/5))) assuming u is positive.\nAnswer: u**(7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 AM and 1:48 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y**6\/y))\/y**(-3\/4))**34 assuming y is positive.\nAnswer: y**(-221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*o**4 + 69*o - 66*o - 221 - 2*o**3 + 226 in the form c*o**2 + v + u*o**4 + r*o + z*o**3 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 363789?\nAnswer: 3, 83, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) be the third derivative of 0 + 0*q**4 + 0*q**3 + 119\/60*q**5 + 77\/120*q**6 - 73*q**2 + 0*q. Find the third derivative of f(j) wrt j.\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -63, -97, -4, -3, 141 in ascending order.\nAnswer: -97, -63, -4, -3, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -9a555 - 4?\nAnswer: -9a559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (6*(sqrt(65) + (1*sqrt(65) - sqrt(65))*-5)\/sqrt(5) - (sqrt(1872) + -5 - (sqrt(13) + 4)*-1)**2).\nAnswer: -2202 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 301?  (a) -1\/3  (b) -3\/8  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -46 - -8 - (7 - (0 - (21 - 11)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 60249083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-4*(0 + (sqrt(1100) - sqrt(1100)*-3)**2 - (-2*sqrt(1100))**2*-6).\nAnswer: -352000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = f**2 + 4*f + 3. Let v = 0 - 9. Let z(s) be the first derivative of -2\/3*s**3 - 7*s - 9\/2*s**2 - 3. Calculate v*d(c) - 4*z(c).\nAnswer: -c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(6\/7)*y**(-6\/5)*y*y*(y**(3\/4))**(-6\/5) assuming y is positive.\nAnswer: y**(53\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 565449, 565455, 565465, 565479, 565497, 565519?\nAnswer: 565545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the third derivative of 341*m**5\/60 - 199*m**2 + 2*m. Let f(w) = -w**2. Determine f(v(c)).\nAnswer: -116281*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -318481889983 - 49?\nAnswer: -318481890032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 107 + -73. Let l = -1483 + 1495. Calculate the remainder when q is divided by l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23490 is divided by 2610?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9, -29, -59, -99, -149?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/15 of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4736 is divided by 861?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 45  (b) -800  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18583*j**2 - 23788*j**2 + 20862*j**2 - 17 - 22263*j**2.\nAnswer: -43772*j**2 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1046452 = 459*f + 391918. What is the highest common factor of 62 and f?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, w: 6, h: 1, e: 3}. Give prob of picking 1 e, 2 r, and 1 h.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2 - -2.05. Let d = i - 0.35. Let g = -0.2 - d. Which is smaller: g or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 30 and 355890.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: ((51\/(-27))\/(56\/336))\/((-2)\/18*-3)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -18 + 21. Calculate the lowest common multiple of (18\/(-4))\/(357\/(-1666)) and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 8799 - 8757. Solve 46*w = 32*w - m for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) 384\/7  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**5 + m**4 + m**3 + m**2. Let k(z) = 2*z**5 - 6*z**4 + 7*z**3 - 5*z**2. Let i(d) = 2*k(d) + 2*q(d). Factor i(x).\nAnswer: 2*x**2*(x - 2)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 32521571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5761?\nAnswer: 7, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 389*v + 24*v - 15*v.\nAnswer: 398*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*s + 54 = 144. Let o be (7 - s)*-1*(-4)\/10. Which is the second smallest value?  (a) 7  (b) 2\/9  (c) 10  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -691842 or -691844?\nAnswer: -691844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (34\/15*-9)\/(3\/(-90)). Suppose -592 = -7*x + j. Suppose -x*v - 105 = -175*v. What is the greatest common factor of 21 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 3 x when four letters picked without replacement from {x: 3, n: 3, e: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n*n\/(n\/(n\/((n\/(n**(-2\/3)\/n))\/n))))\/n)**32)**(-3\/4)*(n**(-3)\/(n**4*n))\/(n\/n**5*n**7) assuming n is positive.\nAnswer: n**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:27 PM and 3:22 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + -4 + sqrt(320) + 3 + sqrt(320) + -3 + sqrt(5)*-4 + 2.\nAnswer: -1 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 6:04 AM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12914 is divided by 29.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 52 and 15216.\nAnswer: 197808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -5*n + 8. Let h(x) = 4*x - 8. What is -5*b(m) - 6*h(m)?\nAnswer: m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 52 = -5*a + 123, -2*a + 22 = -2*u. Solve 5*x + 2*c + 4 = 0, -a*x = -9*x - 2*c - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 4*l. Let t(x) = 5*x**2 - 6093*x. Determine t(u(a)).\nAnswer: 80*a**2 - 24372*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -152*u**5 - 289955*u**3 + 13*u**2 + 2455772*u - 1 wrt u?\nAnswer: -9120*u**2 - 1739730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 339 + -339.1. Which is the nearest to r?  (a) 3.4  (b) 20  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 + 18.7. Which is the closest to 0?  (a) 1\/4  (b) -2  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.36 - 0.04. Let x = 2.5 + f. Which is the nearest to x?  (a) -3  (b) -2  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50 = 4044*k - 4049*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 426528701?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -1. Let h(n) = n**3 - n**2 - n + 1. Let b be h(p). Let i(c) = 533 - 1068 + c**3 + c**2 + 538. Calculate i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -4904*u - 815. What are the prime factors of g(-2)?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 2*n**2 + 11*n + 4. Give s(6).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 10990680 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 185838 divided by -185838?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 v, and 1 h when three letters picked without replacement from {m: 6, v: 4, h: 1, n: 2, i: 1, c: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/((-16)\/((-56)\/7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -5668 * -0.75553.\nAnswer: 4282.34404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 2206563019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 94026 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0018 + 0.5428. Let y = i - 0.52. Let s = -0.0118 + y. Round s to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -103975, -207970, -311983, -416014, -520063, -624130?\nAnswer: -728215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 5*w - 15188, -4 = 3*c + 5. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 174178.7l in millilitres?\nAnswer: 174178700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 5*d - 8*d. Suppose d*o = 395 - 55. Calculate the greatest common divisor of 34 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24536026 is divided by 3538.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 178 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 - 7*y - 1. Suppose -2*p = -u - 7*p + 24, -5*p + 42 = 3*u. Let n be h(u). What is the first derivative of 23*m**2 - 10 + 4 - n*m**2 wrt m?\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 7 + 566*l - 405*l.\nAnswer: 161*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1794 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -15*o**3\/2 + 129*o**2\/4 - 177*o\/4 + 39\/2 = 0?\nAnswer: 1, 13\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 + 4. Let i = r + -19. Let g = -15 - i. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 6379543 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1429*p**4 - p**3 - 136377*p**2 - 4*p - 7278963 wrt p?\nAnswer: -17148*p**2 - 6*p - 272754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 13*d**2. Let v(s) = -54828 + 54828 + 2*s - 13*s**2. Let t(m) = -27*m**2 + 5*m. Let b(i) = -2*t(i) + 5*v(i). Give b(o(q)).\nAnswer: -1859*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/4665 + 53179\/4665. Find the common denominator of z and -68\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -9221*x - 728464. Determine q(-79).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5, -14, -31, -56, -89, -130, -179?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2*u + 1. Suppose -5*c - 4 = 2*s - 1, -c = -5*s + 33. Determine i(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*h + 4*k + 48 - 29 = 0, 2*k = -5*h - 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/60 and ((-286)\/(-8))\/((-2 + 2 - 0) + 3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - (-4 - 13) - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 2\/27, -5, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1417?  (a) -0.2  (b) 15  (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5146, 5138, 5130?\n\"Answer: -8*v + 5154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 - -42?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21 + 11 - 9)*(q - q + 2*q**3).\nAnswer: 46*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 h when two letters picked without replacement from agashahageasaahgsha.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24 - (0 - (3 + -8) - -5) - 55.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*d - 7*d = -4*i + 34, 0 = -7*i - 14. Solve -4*g - 5*u + 19 = 0, 20*g - 25*g = 3*u - d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 97\/(-5) + 3\/(-5). Let c(y) = -y - 16. Let k be c(u). Solve -8 = -0*h - k*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.5022 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (-43 + 83 - 42).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 21035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-1))**(4\/25))**10 assuming t is positive.\nAnswer: t**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -138048 - 4.\nAnswer: -138052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 873*l**2 - 395*l - 925108 wrt l?\nAnswer: 1746*l - 395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**3 + 21*a + 7. What is h(5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 31 = -4*z + 171, 3*i + 47 = z. Let a(j) = -j + 7. Calculate the remainder when z is divided by a(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 9. Let k = -7 + i. Let m = -2.4 - -2. Which is the second smallest value?  (a) k  (b) m  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.3 minus -0.007398?\nAnswer: 3.307398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1.578293  (b) 3  (c) 1\/4  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 AM and 11:56 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 71*j + 12. Let g(r) = 36*r + 4. Let b(w) = 7*g(w) - 3*p(w). What are the prime factors of b(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 89\/6 and -23\/84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7 - (7 - (-9 + 22))) + 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 259924 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 31*p**2. Suppose -a = 5*h - 22, -2*h - 5*a - 10 = -h. Let v(q) = 14*q**2 - 5*q**2 - h*q**2 - 8*q**2. What is g(v(k))?\nAnswer: 496*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/(-360)*(-14)\/(28\/4)*145.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -d**2 + 261*d - 17037. Give a(132).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in 37\/4, 0.2, 1, 1.23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*k**3 - 7*k**3 - 15*k**3.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 28162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2*g + 1)*(1 + 1 + 0) + g - 5 + 5 + 40*g + 287*g + 2 - 145*g.\nAnswer: 179*g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 21) + (6 - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -5*m + 5. Suppose m*k = 2*k + 15. Suppose -i - 2*n + 437 = 0, 0 = 8*i - 4*i + k*n - 1760. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 41118 and 340095.\nAnswer: 665906010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**3 + 5008726*j**2 + 3135894478496*j - 28223456014728.\nAnswer: 2*(j - 9)*(j + 1252186)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -170a6 + 7?\nAnswer: -1709b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4287 = 2*l + 2*o, 5*l + 10734 = -3*o. Let q be (-9134)\/6 - (-1)\/3. Let d = q - l. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 962 is divided by 25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the first derivative of f**4\/2 + f**2\/2 - f + 17. Give w(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 787.9349mg to micrograms.\nAnswer: 787934.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.9832224 + -2338?\nAnswer: -2318.0167776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 6*d**2 + 3. Determine n(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 34*b. Suppose -4*u - 4 = 0, -3*j + 1 = -4*j - 5*u. Let y(q) = 2*q + 5*q + 6*q - j*q - 22*q. Give a(y(h)).\nAnswer: -442*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 781196415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4268776567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/(-36)*-5)\/((-121)\/((-60016)\/(-12710)))?\nAnswer: -2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjnw. What is prob of picking 1 n and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + -1 - (23 + 2)\/(-1). Suppose -k - b = -3*k + 2*i, 4*i - 18 = -k. Find the second derivative of z**5 - k*z**5 + 2*z**3 - 7*z - 2*z**3 wrt z.\nAnswer: -260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6200929?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 5*c = -2*t + 1, -c = -4*t - 19. Let b(x) = 2*x**2 + 5*x. Let p be b(t). Let k = p + 11. Solve h + h - 3*q + k = 0, 0 = -2*h - 5*q + 17 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(153) - 1*sqrt(153))*6 - 1*sqrt(153)*2)\/((sqrt(63)*2 + sqrt(63))\/sqrt(7) + 1*(sqrt(9) - -2*sqrt(9))).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-60)\/(-72))\/(1\/498).\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -4*14*9\/24. Let i = f + 38. Suppose 5*h + 5*b = 15, -b = 3*h - 0*h - i. What is the remainder when 12 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) -4.1  (b) 562  (c) -1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/4 - (-792)\/1584*(-2)\/4\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((g*g**5*g)\/g)*g*g**(-7))**(5\/18) assuming g is positive.\nAnswer: g**(-55\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is (33441 - (-17 - -8)) + 7 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-9 + (-3465)\/(-345))*(-9)\/(-216)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -9. Suppose 8*u = z*u + 675. What is the greatest common factor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the second derivative of -37*l**4\/12 + 229*l. Let m(t) = 10*t**2. Give m(r(z)).\nAnswer: 13690*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = -q + 19. Let x = -21 + 37. Let i be g(x). Solve 0*b + 12 = i*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4935\/9866 - 1\/4933. Which is the closest to 1\/2?  (a) 0.003  (b) m  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 53\/4 of a kilometer?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*c - 58 = 157 + 1297. Calculate the remainder when 1079 is divided by c.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3105 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1711*q + 876*q = 154 - 44133 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 3 - 1179a?\nAnswer: -11797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -376\nAnswer: -1504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o**(-17))\/(o\/(o\/o**(-10))))\/(o\/((o*o\/(o*o*o*o*o**(-4)))\/o))**45 assuming o is positive.\nAnswer: o**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -64615 + -217?\nAnswer: -6482c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/2, 32\/3, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5633086\/135 - -41726. Find the common denominator of 37\/180 and t.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2622855 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 253981 a multiple of 104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 686 and 33908?\nAnswer: 237356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + (-1 + -3*(sqrt(300) + 4 + 5*sqrt(300) + sqrt(300)))**2)*-6 + 1)*1.\nAnswer: -794783 - 32760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.04 + 0.44. Let s be ((-1)\/(-10))\/(6\/(-15)). What is the second biggest value in b, s, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 i, and 1 j when three letters picked without replacement from {q: 7, i: 1, v: 1, t: 3, j: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*y + 3*y**3 + 0*y + (-15*y**2 - 26*y**2 + 5*y**2)*(-4 - 1 + 3)*(-2*y + 2*y + 3*y).\nAnswer: 219*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4864 + 4862. Are o and 131 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2.97273733116 + 4.\nAnswer: 1.02726266884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 72\/180*((-180)\/(-16))\/3*-6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2*l + 12 = 0, -4*j = -136*l + 131*l - 26. Solve -3*a + j*k - 7 = 0, 16*a = 15*a - k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 47.22803um to nanometers.\nAnswer: 47228.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -3*j**3 + 4*j**2 + 7. Let u be 24\/228 - (-3 - 1250\/(-76))*-2. Let p(b) = 21*b**3 - 27*b**2 - 48. Determine u*x(f) + 4*p(f).\nAnswer: 3*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence msuo when four letters picked without replacement from {s: 2, m: 1, z: 1, o: 1, t: 2, u: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**3 - 264*i**2 - 765*i.\nAnswer: -3*i*(i + 3)*(i + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -4*x - 14, x - 64 = 4*d - 0*x. Let u = -22 - d. Let p(y) = -y - 1. Give p(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the first derivative of q**2\/2 - 1673. Let u(l) = 632*l**2. Determine x(u(t)).\nAnswer: 632*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.7, 279, 11, 5, -3\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c - 10. Let l be (-53)\/6 - (-125)\/150. Let d be l\/(-6)*450\/60. Give s(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 115 and (-348)\/18*-9 - -10.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7297137 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: Which is the closest to 428447?  (a) -3  (b) -6  (c) 2.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-1\/34)*(c\/c**(-5\/9))\/c assuming c is positive.\nAnswer: c**(161\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 + 0)*(0*f - f + 2*f) + 2*f + 0*f + 0*f + 21 + 18*f - 23 - f.\nAnswer: 21*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, -4, 2\/141, 1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3641 + 3637 + 4090 - 15004 - m**3 + 3636.\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -290, -2\/7, -3\/8, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 12.65 rounded to one dp?\nAnswer: 12.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 4  (b) -1  (c) -4  (d) -41  (e) 3\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(((-4)\/((-16)\/4))\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.5 - 0.1. Let c = 1.4 - g. Let j = -8 + c. What is the closest to j in -0.4, 0.5, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66988*t - 20*t**2 - 5 - 66988*t + 9 - 1110*t**3 + (0*t + t + t)*(-t**2 + 3*t**2 - 3*t**2) to the form x*t**2 + j*t + p*t**3 + h and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11 - 18 - 17)*(4*b - 5*b + 2*b) to y + z*b and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3680797.\nAnswer: 37, 53, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 4*r**2 - r - 6. What is the units digit of l(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 65784 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/i**10*i)\/i**(-5\/4))\/(i**14*i\/(i*i*((i\/i**(-1\/11))\/i)\/i)) assuming i is positive.\nAnswer: i**(-909\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17202 - -17205.3. What is the closest to t in 9, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (1*sqrt(162)*-5)**2.\nAnswer: 4049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -5*u + 50684, 0 = -2*u - 0 + 2. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.0641 + 0.0441. Which is the closest to r?  (a) -2  (b) -48  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3953851765 + -3953851709.00000059. Let f = d + -56. What is f rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -194560, -194552, -194544, -194536, -194528?\n\"Answer: 8*b - 194568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*d**4*f**2 - 8307*d**3*f**2 - 4*d**2*f**2 + d**2 + 55*d - 4 wrt d?\nAnswer: -120*d*f**2 - 49842*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 14*g - 24. Let y = 128 + -126. Let z be v(y). What is the greatest common factor of z and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 2*w**3 - 2*w - 4. Let x(k) = k**3 - 1. Let d be (-2*(-2)\/(-8) - 0)*2. Suppose 2*s - 26*i + 10 = -23*i, 3*s - 19 = -4*i. Determine d*x(o) + s*j(o).\nAnswer: o**3 - 2*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4 + 3 + 3)*(-7*n - n + 4*n) + (1 + 1 - 1)*(-5*n + n + 2*n) + 0*n + 4*n - 3*n - 1673 + 251*n + 1673 as d + a*n and give a.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.07 + 0.23. Let b be ((-156)\/91)\/((-18)\/21). Sort b, 2\/9, r, 4.\nAnswer: 2\/9, r, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4.977 - -0.023. Let p = 10 - 10.3. Suppose j = 3*f - 5, -5*f + 14 = -3*f + 2*j. What is the closest to 0.2 in p, s, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**3 - 7*b**2 + 4*b - 3. Calculate s(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-3\/10)*(z\/(z\/(z*z**(3\/17))))\/z*((z\/((z**(-4\/17)\/z)\/z))\/z)\/(z**(-5)*z) assuming z is positive.\nAnswer: z**(1039\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that 296595*q**5 + 2623725*q**4 - 3374280*q**3 + 477320*q**2 - 23760*q + 400 = 0.\nAnswer: -10, 2\/39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 244.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01082 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 4087 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4205?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h. Let p(d) = 1788*d**2 + 460*d**2 + 19*d - 19*d. Determine n(p(u)).\nAnswer: -2248*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes after 2:58 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of -4*p**2 - 3\/448*p**8 + 0*p + 0*p**5 + 1\/32*p**4 + 0 + 0*p**3 - 3\/80*p**6 + 1\/35*p**7. Factor z(q).\nAnswer: -3*q*(q - 1)**3*(3*q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9739 rounded to the nearest 100?\nAnswer: -9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 139 - 2*i - 24*i**2 + 608 + 2*i.\nAnswer: -24*i**2 + 747","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -230 (base 4) to base 15.\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = -y + 2*d, 5*y = 2*y + 5*d + 21 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 4*l - 8. Let j be a(2). Suppose j*n - 4*n - 4727 = -5*v, -3*n + 2820 = 3*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*o + 23*o + 18 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -684.30153 to the nearest integer.\nAnswer: -684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 9378 - -17b?\nAnswer: 9515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence do when two letters picked without replacement from {d: 1, o: 1, y: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -63*r**2 + r**3 + 135*r**2 + 11 - 62*r**2 + 5*r - 4. Let y(k) = k**2. Let z(j) = -c(j) + y(j). Give z(-8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59038747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*r + 13 - 13 + (3 - 3 + r)*(-2 + 2 - 2) + 2*r - r + 0*r)*(-2*r + 0 + 0) to the form n*r + q*r**2 + h and give q.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4977649076?\nAnswer: 2, 1244412269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/7))**(4\/9)*(t\/t**(2\/17)*t)**6 assuming t is positive.\nAnswer: t**(11960\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -15, 7*n - 2*t - 130 = 3*n. Suppose 40 = 12*a - 4*a. Suppose -a = -d + 4. Calculate the remainder when n is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) be the first derivative of -23*c**4\/4 + 11*c**3\/3 + 13*c**2\/2 - c - 1. Let f(l) = 12*l**3 - 5*l**2 - 7*l. Let a(j) = -5*f(j) - 2*u(j). Factor a(r).\nAnswer: -(r - 1)*(2*r + 1)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4474461 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (-21738)\/((-14)\/(-7) + 2 - (0 + 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 8 = 4*k, 4*k + 4*p = -18 + 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0 - 1)\/(5\/65). Let i(a) = a**3 - 4*a**2 - a - 9. Let t be i(4). Is t at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -30 + 11 + 18 + z. Let q be t(2). What is the second derivative of 4*w**3 - 4 - 10*w + q + 3 wrt w?\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) be the second derivative of -d**5\/20 + 2*d**4\/3 - 5*d**3\/6 - 4*d**2 - d. Let l be m(7). Suppose -2*h = l, 7*h - 2*h = p - 65. Is p a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33370492 a multiple of 2783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8\/80817 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((sqrt(147) + -3*sqrt(147) + sqrt(147) + -3 + sqrt(147))*2 - (1 + -3*sqrt(12))*2))**2.\nAnswer: -1728*sqrt(3) + 4464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put together -6.18 and 78.\nAnswer: 71.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f = -4*f + 420. Let q = -106 + f. Let s(a) = -52*a**3 + a. Let d be s(-1). What is the greatest common divisor of d and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 150735609 to the nearest integer?\nAnswer: 12277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(20) - sqrt(180))\/sqrt(10))**2 + 0.\nAnswer: 4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34878361.\nAnswer: 7, 547, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = 4*m + 14, 0 = -2*j - 2*j - 5*m - 34. Suppose -3*u + s = -6*u - 1028, s = 4*u + 1366. Is (-8)\/j*u\/(-12) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 73 = 4*k - 15. Does 22 = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -223*r**4 + 218*r?\nAnswer: -2676*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z - 13 = 11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dbddbabdbddab. Give prob of picking 2 b and 1 a.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 4217441 to the power of 1\/2, to the nearest integer?\nAnswer: 2054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/72*(-477)\/(-106)*16\/(-20).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1 - 715)\/((-10)\/20). Suppose -12*u + o - 232 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -p**3\/4 - 7*p**2\/4 - 7*p\/4 + 15\/4.\nAnswer: -(p - 1)*(p + 3)*(p + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -164 = 173*h - 72 + 600. Sort 0, 12, -14, h in descending order.\nAnswer: 12, 0, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of c**3\/6 + 27*c**2\/2 + 8*c. Let k be j(21). Let u = 79 - k. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**4\/12 + j**3\/3 - 5*j**2\/2 + j. Let g be s(-6). Calculate the greatest common divisor of g and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -114 - -120. Suppose -f + l + g = -26, -f = 4*l - 32. Round f to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from {v: 5, w: 1, t: 9, k: 1, o: 4}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0977728031 to 3 dps.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 + 73*d**2 + d + 163. Calculate w(-73).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -17.045 + 17. Let t = g + -0.245. What is t rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - -1)\/(((-114660)\/(-325))\/63).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/4*(-24)\/(-30). Let d be (-5 + 3 + 4)\/(1 - -1). Let r = d - t. Let q(m) = -2*m. Calculate q(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 2*z**2 - 12*z - 17. What is the hundreds digit of s(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**3 - 16*z**2 + 31*z - 19. Let m be u(14). Let f(l) = -m + 70 + l - 24 - 24. Determine f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*o**3 - 8*o**2 - 55*o**3 + 2*o - 2*o - 9*o**2.\nAnswer: -34*o**3 - 17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 56 - 58. Let t be 9\/c*(20\/15)\/(-1). Suppose t = m + m. Solve 2*n + m = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = 4*q - 104, -13*p = 2*q - q + q - 304 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 (base 8) in base 5?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 406 and (-16240)\/(-84)*(1 - 2\/(-10))?\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.7 - -1. Let i = -29738 + 29740. Sort i, l, -2 in increasing order.\nAnswer: -2, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -979346, -1958693, -2938040, -3917387?\n\"Answer: -979347*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = 276*q - 2218, 4*x = 12*q - 9*q - 16 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 116177 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 830286 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.2  (b) 2\/15  (c) -10  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - -121. What is k rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6 - 3 - 4)*(-5 + 2 + 2)*(-6*c + c + c) to f + u*c and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 7, f: 2, y: 9, v: 1}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3 - (-42)\/(-9))*-9. Suppose 3*n + 2*n + 2*x = 4, -5*x = -10. Solve l = -n*q + 5*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 111*z - 261. List the prime factors of i(10).\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -70*p**4*q**2 - 2*p**4 + 463*p*q**2 + p*q wrt p?\nAnswer: -840*p**2*q**2 - 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1775 - 10*a + 5044 + 8986*a**3 + 16*a - 2*a - 3*a wrt a.\nAnswer: 53916*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1000011001010100100000 (base 2) to base 13\nAnswer: -5c09b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 36 + -10. Calculate the remainder when 93 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/(-9))\/(240\/(-45) - -7). Which is the fourth smallest value?  (a) 18  (b) -0.4  (c) k  (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 833\/(-134113)*69\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -1468\/1015 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {t: 2, z: 4, s: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - w + 5*o + 1 = 0, 2*w = 3*o + 1. Let v(d) = 286*d**2 - 2*d + 1. Is v(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r + 4*r - 15. Suppose 0*v - r*v = -12. Suppose 0 = 3*z + 2*n - 38, 3*z + n - 3*n - 34 = 0. Solve 0 = v*c + z, 2*c + 2 + 10 = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3244323 (base 10) in base 6?\nAnswer: 153312003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 27\/1100 and -95\/26.\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the second derivative of 10*u**3\/3 - 7*u**2\/2 + 3*u - 13. Let t be p(-1). Suppose 3*d = -5*s - 61, 5*d + 5*s + 30 = -85. Is d bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.42 and 0.5.\nAnswer: -1.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9940 by -5.\nAnswer: -1988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -136, -117, -78, -13, 84, 219, 398?\n\"Answer: u**3 + 4*u**2 - 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 2. Let v(b) = 2*b + 3. Suppose -3*l = -2*g + 6*g - 20, -l - g + 5 = 0. Let t be v(l). Put k, 0, t in increasing order.\nAnswer: k, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-290)\/48 + (-193)\/(-4632))*(-2)\/60.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 - -2489?\nAnswer: 2493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(136) + -2*sqrt(136)*-6 + sqrt(136)))\/(sqrt(32)\/sqrt(4)*-1 - (sqrt(96)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8623 + -12195. Which is smaller: c or -3571?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2733*r. Let m(q) = 2*q**2 - 1340*q + 2. What is m(v(l))?\nAnswer: 14938578*l**2 + 3662220*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1505 - -1508. Suppose 3*p - 72 = -3*p. Suppose 4*d = -4*a - p, -3*a - 4*d = -a + 16. Solve r*x - 2*i - a = -7, 5*i = -5*x + 25 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6\/(-9))\/(8\/(-16))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 28\/3, 1\/23, -0.34, 1\/3 in descending order.\nAnswer: 28\/3, 1\/3, 1\/23, -0.34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*r + 276*n - 25 = 271*n, 2*r + 3*n - 15 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -341121.308 times 0.1\nAnswer: -34112.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14.2 + 11.9. Let i = n - 13.1. Which is the smallest value?  (a) 3  (b) -2  (c) 0  (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -96195 divided by -3.\nAnswer: 32065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.3 + 0.3. Suppose 4*x + z = x + 18, 5*x - 22 = z. Suppose -2*h + 0*h = -x*w - 18, 5*w + 30 = 5*h. What is the nearest to -1 in -0.1, h, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 47*s + 12. Let d be v(8). Suppose -36*a + d = -32*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6827061390 to the power of 1\/2, to the nearest integer?\nAnswer: 82626","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 64142 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -25, -74, -165, -304, -497, -750, -1069?\n\"Answer: -h**3 - 15*h**2 + 3*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -114 (base 13) to base 14.\nAnswer: -d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -210220221012001 (base 3) to base 12.\nAnswer: -3a9a59a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/20 and -43\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -145 + 144.5. Which is the smallest value?  (a) 2\/5  (b) k  (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1\/2)\/(2\/216). Suppose g = -0*g + d. Suppose 94 = 4*h + 2*x, 50 = 4*h + 4*x - g. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/2484 and -131\/1242.\nAnswer: 2484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52935 + 145024 = -17*s + 34*s. Is s a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/(-1120)*7)\/((-8)\/10)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.9  (b) -4  (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**4*i)**(2\/41) assuming i is positive.\nAnswer: i**(-4\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.2 - 1. Let a = -308\/3 - -104. Put 5, a, o in increasing order.\nAnswer: o, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24641*b**2 + 73954*b**2 - 24641*b**2 - 24672*b**2 + 2*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 PM and 12:24 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 4) + 2 - (0 + 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 13\/5 + (1848\/(-105) - -17). Solve 3*v - s*y = -3*y + 11, -4*y + 18 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k - 5*z = 18, -2*z = -2*k + 2*z + 20. Let r = 4516 + -4544. Which is the second smallest value?  (a) k  (b) 1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:56 AM and 12:45 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**3 + 32*j**2 - 138*j + 180.\nAnswer: -2*(j - 10)*(j - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 63\/(-4)*(7 + -3). Let q = 91 + a. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2092 + -2078. Solve -2*z - d = -14 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d and 1 o when two letters picked without replacement from {o: 4, t: 2, y: 1, d: 3}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 20072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:19 AM and 7:41 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -424284042021 - -0.094\nAnswer: -424284042020.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (-3 + (sqrt(1377) - ((0 + sqrt(1377) - sqrt(1377)) + -4)) + 5)*-6*3)**2.\nAnswer: 35316*sqrt(17) + 458029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7880 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-2)*1*31\/((-2356)\/399).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - -4. Let c be ((-8)\/10 + 2)*m. Suppose 2*b - c*v + 2*v - 2 = 0, b + 5*v = 29. Calculate the remainder when b is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-2 + (5 - 2)). Let p be 3 - (2 - -67)\/c. Let o be (-5)\/p + 22\/8. Solve 6 - o = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -47 - -61 - (4 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (n + 2*n - 4*n)*(-363*n**2 + 736*n**2 + 13*n - 332*n**2) in the form v*n**2 + b + a*n**3 + w*n and give a.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 54*z + 48*z + 49*z = 1963 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1842686, 1842626, 1842566, 1842506, 1842446?\n\"Answer: -60*z + 1842746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 18 and 2487501?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-49)\/(-98) + (-1)\/3. Let z(x) be the first derivative of 4\/27*x**3 + 0*x**2 - j*x**4 + 2\/45*x**5 + 23 + 0*x. Determine y so that z(y) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - t - 2)*(-2 - 48 + 21)*(1 - 1 - 7)*(-3*t - 6 + 6).\nAnswer: 609*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 52\/(-13) + 0 + 38. Suppose 5*y + 4 + i = f, 4*f - 2*y - 62 = 0. What is the highest common factor of f and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 2*i. Let g(w) = -73954537*w**2. Determine l(g(z)).\nAnswer: -147909074*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -31905326 by -2.\nAnswer: 15952663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 199271?\nAnswer: 89, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 3 b when four letters picked without replacement from ntbnwwnebbw?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 27\/11588605 and -31\/50.\nAnswer: 115886050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -8395686 divided by -6?\nAnswer: 1399281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3329179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 91183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 7846.80404 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = u**3 - 4*u**2 - 4*u - 5. Calculate the remainder when x(6) is divided by 218\/10 - (2 + (-44)\/20).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10663\/2844 - 53\/474. Find the common denominator of -21\/380 and q.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/7 - ((-66)\/(-21) - 3). Let h = -2 - -1.6. What is the closest to 0.07 in -0.1, q, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 120 and 150?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - k = 12. Let o = 37 - 0. Let y = o - 37. Put y, -4, k in descending order.\nAnswer: k, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 262 is divided by 77.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 46 = -i - i, -2*c - 142 = -4*i. Let m(o) = o**3 + 149*o - 776. What is the remainder when m(5) is divided by i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2637*l**2 - 975*l**2 + 643*l**2.\nAnswer: -2969*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -20569300 to the nearest one million.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 17*r - 11 = 18*r, 2*t - r + 9 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes before 3:33 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the first derivative of -8 + 0*k**2 + 0*k**4 + 0*k + 4\/3*k**3 + 2\/5*k**5. What is the third derivative of w(v) wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + m - 23 = 0, -5 = -4*s - 3*m + 9. Solve -4*f = -s*b - 13, 5*f = -3*b - 29 - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5 - 7*u - 2 - 8338*u**2 + 8340*u**2 to the form i + c*u**2 + z*u and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:16 AM and 10:43 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the second derivative of c**10\/280 - c**6\/15 + 29*c**3\/6 - 4*c. Let t(r) be the second derivative of k(r). Find the third derivative of t(w) wrt w.\nAnswer: 2160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 3*n + 9077 = -1037, 20188 = 4*x + 4*n. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -25  (b) 1\/3  (c) 2\/13  (d) 0.007  (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 6*(1 + -5)*4\/(-12). Solve -d*p + 5*p = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -194\/35 + 36\/7. Suppose 0 = 6*k - 3*k - s - 13, 5*s = 3*k - 17. Which is the second smallest value?  (a) 3  (b) k  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3651473*o*p**2 + 36*o*p - 3*o - 18*p + 47 wrt p?\nAnswer: 7302946*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 6 = 2*v, -2*v + 0 - 12 = 4*d. What is the nearest to -1\/5 in 2, -0.03, v?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + c - 3*c = 8, 5*z + 4*c + 16 = 0. Let a be 4*(z + (-15)\/(-6)). Calculate the greatest common factor of 70 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.03 - -0.27. Let i = -153.7 - -157.7. Which is the closest to -1?  (a) i  (b) h  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0, 1\/2, 2\/1387?\nAnswer: 2\/1387","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 111*l**2 + 320*l - 37. What is a(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/(-3)*-1)\/(3\/(-36)). Suppose 3*o = -2*r + 91, -o = y*o - 2*r - 157. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1318 rounded to two dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + -95a?\nAnswer: -962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(((-2*sqrt(112) + -2)**2 - (-1*(sqrt(112) + -1*sqrt(112) + sqrt(112)))**2) + (5 + -1*(sqrt(112) + 1))**2 + -2)*-1.\nAnswer: -1864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15065511 is divided by 1415.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 30 - 56. Let x be (w\/(-8))\/(14\/392). Calculate the greatest common factor of 13 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -22575, -45153, -67731, -90309, -112887, -135465?\n\"Answer: -22578*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n + n + 5*k - 9, -2*n = -5*k + 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 32 + -16 + (-2 - (6 - 15)) + -8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/(-12))\/(2\/6).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -k - 0*k. Let q(t) = t. Let f(z) = 3*z + 2. Let l(i) = -f(i) + 5*q(i). What are the prime factors of l(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*m + 0*m - 2*m)*(-5 + 5 + m)*(4 + 12 - 13) to u*m + j + c*m**2 and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 532 and 1701868?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 492 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - 1) + -3 + 6 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u - 1 + 17. Suppose 2*w - 172 = -3*q + 1, -340 = -u*w - 4*q. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 0, -0.06, -544, -0.5, -2 in descending order.\nAnswer: 0, -0.06, -0.5, -2, -5, -544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 201784515 != 201784515?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-84)\/2376*(1197\/(-5))\/(-3). Let t = d + -2\/165. Calculate the common denominator of t and -115\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2241874.609 to the nearest ten thousand.\nAnswer: -2240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(-1)*i)**(-28)*(i**(-9)\/i)\/((i\/i**(-2\/15))\/i*i))**(26\/5))**(-47) assuming i is positive.\nAnswer: i**(204074\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, i: 2, v: 2, f: 2, o: 1, d: 4}. Give prob of picking 1 q and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3168 a factor of 3526104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -7 - 106*l + 54*l + 49*l. What is the units digit of o(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -272*c**2 - 405 - 4*c**3 - 3099 + 185*c**2 - 477*c**2 + 2896*c.\nAnswer: -4*(c - 3)*(c - 2)*(c + 146)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -68\/75 - -6\/25. Sort 5\/4, 3, 1.5, u in increasing order.\nAnswer: u, 5\/4, 1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(448) + (-4*(sqrt(448) + 0))**2 + (sqrt(1008) + 1)*2).\nAnswer: 64*sqrt(7) + 14340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, o: 15}. What is prob of picking 2 o?\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -f - 385 - 255, -3*f = 3*w - 465. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + (-712)\/42 + 2. Let q = -41\/3 - g. Let o be 2\/6 - (-13)\/(-30). Put 1\/3, q, o in ascending order.\nAnswer: o, q, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 + 7. Let m be k(10). Let p = m + -73. What is the highest common factor of 238 and p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x, 1 w, and 1 e when three letters picked without replacement from {j: 1, w: 5, x: 1, e: 1, t: 1}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**4 - 640*r**3 + 117150*r**2 - 4720000*r + 54390625.\nAnswer: (r - 295)**2*(r - 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4930344 nanograms in grams?\nAnswer: 0.0000000004930344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 6314*((-7)\/42 - (-4)\/(-3)). Let m be x\/(-39) + (-5)\/((-195)\/6). Let v(k) = -4*k**2 - m + 243. Let s(y) = 15*y. What is s(v(j))?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*s**3 + 1518*s**2\/5 + 9513*s\/5 + 14472\/5.\nAnswer: -3*(s + 3)**2*(5*s - 536)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.147 + -0.053. Round i to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9101977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 3979502*z**2 - 6*z + 4. Let i be s(2). What is i rounded to the nearest 100000?\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 315*i = 313*i - 2*x, i - 4*x = 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -6891 or -6895?\nAnswer: -6895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 + 4.16. Let o = 6.16 - c. Let x = o - 6.056. Round x to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 b when two letters picked without replacement from bbzyzzyyyzy.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7099271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -129*m**3*n - 11*m**3*t**2 - m**3 - 4*m**2*n*t**2 + 4*m**2 + m + 302*n + 134*t**2 wrt n.\nAnswer: -129*m**3 - 4*m**2*t**2 + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2537211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*w + 465*w**4 - 933*w**4 + 465*w**4 + 2 to t + b*w**2 + l*w**4 + g*w + y*w**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 3 + 4)*(18 + 8 - 22*w - 32) in the form c*w + s and give c.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-18)\/(-135) - 2\/15)*-1. Suppose n = -4, 2*t = -l*t + 5*n + 94. Calculate the greatest common factor of 111 and t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 364094521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**2 + 17*f + 43. Let r be n(-14). Suppose -2*v = -2, 2*v + 11 = -4*p + r. Let a(c) = -c + 1. Give a(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 1777 = -5*k, 36*t = 31*t - k + 2991. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(-1) + 332634\/48. Let l = -6916 + o. What is the common denominator of 77\/8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, q: 1, a: 1, c: 1, r: 1, f: 2}. Give prob of sequence qaf.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 30*g**4*y + g**3*y - g**2*y + 3*g**2 - 49*y wrt g.\nAnswer: 720*g*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -171 minus -126766?\nAnswer: 126595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*r**3 + 3*r**2 + 40*r - 1 + 0 - 40*r to i*r + t + o*r**3 + j*r**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1b85311 (base 13) to base 11\nAnswer: 5190335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (19\/(1292\/51))\/(39\/(-1144))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -789, -3254, -7395, -13212, -20705?\n\"Answer: -838*r**2 + 49*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -246111 or -246113?\nAnswer: -246113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 4 - 12 = -3*u, 3*o = 2*u - 10. Suppose -4*d + 8 = -0*d. Find the second derivative of -2*l**3 - 2*l**2 + u*l**2 + d*l wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*g - 4*m + 15, -3*g + 5*g = -4*m + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2163293016 divided by 4.\nAnswer: -540823254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 7*i**2 - 3*i + 3. What is the units digit of d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49894 (base 11) to base 5.\nAnswer: 4242424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3 + 480*s**2 + 3792*s + 7552.\nAnswer: (s + 4)**2*(s + 472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/3*0*(-2)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 95 - 91. Suppose l*v - 265 = 703. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-17804913)\/9)\/(-7) - (-2)\/(-15)*5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 39  (b) 3  (c) 5\/3  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -34*l**3 - 3*l**4 + 12*l**3 + 19*l**3 - 9*l**2 + 2 in the form r*l**3 + j*l**4 + b*l + z*l**2 + i and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -5*n**2. Let k(y) = -9*y - 2*y + 10*y. Calculate k(c(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 422355660*p**2 + 240102771 with respect to p.\nAnswer: 844711320*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-220)\/(-14))\/((-8400)\/(-23520)).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/4 in -1\/13, 1\/2, 1\/5, 0.4?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 27 divide 45900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -p**2. Let a(k) = 1. Let s(f) = -2*f - 6. Let g = -2 + 3. Let x(w) = g*s(w) + 6*a(w). Calculate x(i(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2963 - 0.5.\nAnswer: -2963.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1\/1048 + -71\/5764. Which is greater: 1 or h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c**3 - c**3 + 4*c**3)*(5*c**2 - 4*c**2 + 0*c**2) - 5*c**5 + 5*c**3 - 5*c**3 + 0*c + 0*c + 2*c**5 + (0*c**2 + 3*c**2 + 0*c**2)*(-5*c - c**3 + 5*c).\nAnswer: -4*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 15, z: 5}. Give prob of picking 2 k.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2091*t + 9814 = 2792*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from oggggggg. What is prob of sequence go?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 653?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 176943 divided by -5?\nAnswer: -176943\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 120202100222 (base 3) in base 4?\nAnswer: 1023231032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 886329 is divided by 4241?\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and -742538.48.\nAnswer: -371269.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/3376 and 35\/422.\nAnswer: 3376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Do 1.1 and -105 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 4 - (-1 - 1) - (-66 + 69). Solve 0 = c - k*b - 2, 4*c - 5 - 13 = 2*b for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = -a**3 - 7*a**2 + 3*a - 17. What is the common denominator of -33\/58 and s(-7)?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*p**3 + 23*p**3 + 1023*p**2 - 1023*p**2.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t + 240*c + 284*c - 54 - 33 = 521*c, -2*t - 109 = -5*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {n: 4, c: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 36\/91 and (469\/201)\/((-14)\/(-44)).\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3\/53 + 41\/212. Let g(o) = -o**2 + 2*o. Let n be g(1). Let q(w) = w**3 - 7*w**2 + 4*w + 8. Let l be q(6). Put n, l, d in ascending order.\nAnswer: l, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m = -5*r - 7, 3*m - 2*r + 5 = -0*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*o - 3*o - o)*(2 - 2 - 4 + (-4 - 2 + 4)*(1 + 5 - 5)).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 4 times 190468\nAnswer: 761872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10653?\nAnswer: 3, 53, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 2*g**4 - 12*g**3 + 387*g**2 + 3*g. Let x(l) = l**3 + l. Let a(r) = -2*m(r) + 6*x(r). Find the third derivative of a(c) wrt c.\nAnswer: -96*c + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (3\/(-2))\/(1 + 21\/(-12)). Solve -2 = -0*m - v*m + 2*n, 7 = 4*m - n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 2*o + 2*z + 12, 0 = -2*z - 6. Suppose -u - 5*x - 4645 = -6*u, 1 = -x. Suppose -23*n = 9*n - u. What is the remainder when n is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.06 and -0.1382.\nAnswer: 0.008292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76524 = -145*w - 511*w - 1166*w for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 24 = 3. What is the smallest common multiple of (0 - (-18)\/24)*244 - 0\/44 and n?\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g and 2 r when four letters picked without replacement from {g: 5, u: 11, s: 1, r: 3}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.11 times 6.729\nAnswer: 0.74019","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -678, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**2 + 36*z + 201. What is j(41)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-270)\/(-15) + 3 + -1. Solve -3*n = -3*s + 2*n + i, 4*s = -5*n - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33 + 2 - -29) + (-8 - 23).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*b**3 - 34*b**2 - 3*b**3 + 32*b**2)*(28 - 31 - 37)*(4*b - 5*b + 3*b) in the form v*b**4 + x*b + z*b**2 + p + m*b**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the first derivative of -c**2\/2 + 2*c + 9. Let q be r(2). Let l(p) = p**2 - p - 2. What is l(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 251618 and 47989.\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2*117.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 633921 is divided by 6403?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (-a + 2*a - 3*a)*(1 - 1 - 2*a) + 38*a + 39*a - 417*a**2 - 77*a as p*a**2 + x + v*a and give p.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 47968621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2\/31940339?\nAnswer: 2\/31940339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -9*w**6 + 3*w**5 + 4*w**2 + 3*w + 3. Let c(b) = -b**6 + b**5 - b**2 + b + 1. Let f(a) = 3*c(a) - t(a). What is the third derivative of f(u) wrt u?\nAnswer: 720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -6*s + 27. Let p be r(4). Let n = 3 + -3. Suppose n*z + p*z = 45. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 27.15917 rounded to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4 + -2*(-4 - -2))\/1. Suppose 5*t + 15 = -3*j - 2*j, y = -5*t - 3*j - 5. Solve -t*a = -5 + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -h + h + h**2 + (-2 + 2 + 1)*(0*h**2 - 4*h**2 + 2*h**2) + 0*h**2 + 5*h**2 + 0*h**2 - 2 + 2 + h**2 in the form z*h + n + p*h**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 56 and ((-35)\/(-21) - 1)*516?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1789, -3572, -5355, -7138, -8921, -10704?\nAnswer: -12487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*c + 7. Suppose 5*a - 20 = -5*q, -c*q + a - 3*a + 17 = 0. What is the second derivative of -u - 3*u**q + 2*u - 4*u + 2*u wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-9)\/(-2) + ((-18)\/3)\/12. Solve 5 = h + f*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the first derivative of -n**2 - 2 + 10\/3*n**3 + 3*n. What is the units digit of o(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*l - 66 = -5*r - 35*l, 0 = 6*r + 5*l + 58 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 4*r = 0, -3*m + 5*m + r + 3 = 0. Let g be ((-27)\/4)\/m*1360\/102. Suppose 19*k - 22*k = -g. What is the greatest common factor of 30 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4022a (base 11) in base 16?\nAnswer: -e5d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o*o**(-2\/15))*o)\/(o\/o**16*o)*(o\/o**(-1))**(2\/15))**(4\/5) assuming o is positive.\nAnswer: o**(308\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g + 8*g + 0*g)*(-3 - 2 + 6)*(2 - 2 - g) + 0 - 5 - 18*g**2 + 16*g**2.\nAnswer: -6*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 20 - 18. Is 8\/3 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 20 = -10. Suppose 0*o - 18 = -4*o - x*v, 4*v = -3*o + 16. What are the prime factors of -4 + (8 - o) + 117?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2974, -5879, -8770, -11641, -14486, -17299?\n\"Answer: w**3 + w**2 - 2915*w - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = 3*q + 53, -2*q = q - 4*h + 52. Let o be 1\/(-3) + q\/6. Let u be ((-6)\/(-3))\/(2\/o). What is the nearest to -2\/5 in 0.2, 4, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-32)\/6 + 7 + -12 + 10. Let y be (-9)\/12 + 12\/16. Let s(f) = -2*f**2 - 2*f - 2. Let m be s(y). Sort w, m, -11, 4 in decreasing order.\nAnswer: 4, w, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 201 and 36017726.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.39 + 0.09. Let z = 3.7 + -3.679. Let b = z + -5.021. What is the smallest value in -4, -7, b, o?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -321832 - -974908\/3. Let r = o - 122545\/39. Let c = r - -789\/26. What is the common denominator of -19\/11 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -34*c**2 - 22669*c + 28870. Calculate d(-668).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19135 is divided by 4775.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 37584277499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -6 and -180\/29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 7 = 3. Calculate the highest common divisor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 124 = -2*u. Suppose -3*q + 2*k + u = -2*k, -4*q = -5*k - 165. Suppose 0 = 4*x + x - q. Calculate the highest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (20 - w**2 - 20)*(0*w + 2*w**2 + 0*w) - 4*w**4 + 3*w**4 - w**4 as m*w**3 + b + r*w**2 + z*w + q*w**4 and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 99383520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the third derivative of -g**5\/4 - 41*g**2 + g. Let m(z) = -z**2 - 3*z. Let a(w) = 2*w**2 + 8*w. Let x(d) = -3*a(d) - 8*m(d). Determine s(x(b)).\nAnswer: -60*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f - 1. Let h be a(-4). Determine v, given that 3*v**h - 4*v**2 - 4 - 20*v - 8 + v**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 158 + -64. Suppose 29 - b = 5*g + i, 4*g + 52 = -3*i. Let j = 21 + g. Is j a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/7, -4\/3, 2\/17, 0.06?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16414, -16992, -50398, -83804, -117210?\nAnswer: -150616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, z: 1, n: 1, f: 4, c: 2}. Give prob of picking 1 f and 1 u.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 + -49c29?\nAnswer: -49c30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 296809361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34099 and 1161.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.330461 and 0.45976.\nAnswer: 0.129299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3544605 + 2159156 = 149*c + 531077. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 7*d**2 + 2*d + 1. Let j be c(-1). Suppose 0 = j*h + h - 7. Let f be h\/(-3) - 40\/(-12). Solve -2 = f*l - 17 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*o**5*p + 60*o**4*p**3 + 17*o**2*p**2 + o*p**3 - 3*p wrt o.\nAnswer: -600*o**2*p + 1440*o*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4367461 is divided by 436746.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Solve -306*l = -4*k - 307*l - 21, -36 = 4*k + 4*l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -c - 5. Let a(o) = o**2 - 6*o - 2. Let u be a(6). Let g(s) = -3 + 4 - 1 - 2. What is u*j(m) + 5*g(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add 684582 and -0.006969.\nAnswer: 684581.993031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -433 - -268. Let o = f + 308. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 8679  (b) -4\/5  (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 3*s + 72. Let b be t(-12). Let v = b + -33. Solve 0 = 5*n - r + 23, -v*n + 0*r - 5 = -5*r for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -208628, -208626, -208624, -208622?\n\"Answer: 2*r - 208630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 277228 and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -13 - 5694\nAnswer: -5707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y, 1 k, and 1 f when four letters picked without replacement from {d: 1, y: 2, f: 1, k: 1, q: 2, g: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -135 (base 7) to base 4.\nAnswer: -1023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**5*n**(3\/5)\/n)\/(n**(-7)\/n**(6\/5)))**(-10\/13))**(-12\/7) assuming n is positive.\nAnswer: n**(1656\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -47 - 1078?\nAnswer: -1125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = 5*v - 17. Does 0 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2*sqrt(294)*-5)\/((sqrt(4) + sqrt(4) + (sqrt(12) - (1*sqrt(12) + sqrt(12)))\/sqrt(3))\/sqrt(2)).\nAnswer: -420*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -2074*g**3 + 488*g**2 - 488*g + 488. Let k(s) = s**3 - s**2 + s - 1. Determine 488*k(p) + l(p).\nAnswer: -1586*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + -3 + -5*(sqrt(4050) + 1 + sqrt(4050)) + sqrt(4050))**2*6.\nAnswer: 14580*sqrt(2) + 1968354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(76) + 3 - (-2*sqrt(76))\/sqrt(4)))**2 + -3 + sqrt(76)\/sqrt(4) + (sqrt(19) + 1)*-5.\nAnswer: 4*sqrt(19) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -23, -66, -131, -224, -351, -518, -731, -996?\n\"Answer: -c**3 - 5*c**2 - 21*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i + 4*i + 9*i)*(-119*i + 213*i + 594*i).\nAnswer: 6192*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 215*s = -9*s - 27*s + 5020 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(147)*-4)*3)**2.\nAnswer: 504*sqrt(3) + 21177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = -5*h + 10, 5*h = 3*t + 196 - 180 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g + g = 5. Let 3*i**4 + i - 14*i**2 - g*i + 11*i**4 + 4*i**3 = 0. What is i?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1\/9, 0.5, 3, 11490\/7, -5?\nAnswer: 11490\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -651 - -1402. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 138061368 = 3*o - 5*w, 4*o - 184081824 = 6*w - 2*w. Suppose -16964421 - o = 3*d. Let k = d + 14494959. What is k rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 + 4698*f + 2818361. Determine m(-706).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*r**3 - 2*r + 2*r)*(8*r**2 - 5*r**2 + 10*r**2).\nAnswer: -26*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 1)*(4 + 3 - 3)*(1 - 1 + 2*m**2)*(-2*m**3 - m**3 - m**3).\nAnswer: -64*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**4\/6 - 28*k**3\/3 - 131*k**2\/6 + 145*k = 0. What is k?\nAnswer: -5, 0, 3, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 5\/24 of a day?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*sqrt(1053)*4 + ((sqrt(1053) - sqrt(1053)*-1) + 1)**2.\nAnswer: -36*sqrt(13) + 4213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-738)\/205)\/(6\/(-1450)). What is the highest common divisor of 90 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7175*c**3*h**2 - 155*c**3*h + 1698*c*h**2 - 2*c - 97*h**2 + 1 wrt c?\nAnswer: 43050*c*h**2 - 930*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5073332, -10146469, -15219606, -20292743, -25365880?\nAnswer: -30439017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-24)\/9*12\/4. Let i = -3 - s. Let n(b) = 15*b**3 + 12*b + 12. Let j(r) = -6*r**3 - 5*r - 5. What is i*n(u) + 12*j(u)?\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f = 9 - 17 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 1848*v**4 - 1370*v**3 - 474*v**2 - 4*v = 0.\nAnswer: -1\/4, -2\/231, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -5*h**3\/4 + 15*h\/4 + 5\/2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 53 = 3*l + l, 88 = 4*l + 4*q. Solve 0*f = -f + 3*m + 1, 3*f + m + l = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*p - 4*q + 14, 2*p - 3*q = -3*p + 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 76154?\nAnswer: 76157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 120454817?\nAnswer: 7, 1013, 16987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13492, -14551, -15610, -16669?\nAnswer: -17728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 38d9 + -3a?\nAnswer: 389e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 180 and 57690.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*d**3 - 7*d**3 - 3*d**3)*((1 - 1 - 2)*(-3 + 0 + 1) - 6 + 6 - 3 + 2 - 3 + 3) as z + n*d**2 + x*d**3 + c*d and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + 5*z - 8, -20*z + 48 = -10*b - 23*z. Put 2, 0, -8, b, 5 in descending order.\nAnswer: 5, 2, 0, b, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 152 and ((-16)\/(-3))\/((-14)\/105*-5)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 9*f**3 + 9*f**2 + 6*f - 6. Let l = -343 + 354. Suppose -l*b + 95 = -92. Let u(z) = -26*z**3 - 26*z**2 - 17*z + 17. Give b*k(m) + 6*u(m).\nAnswer: -3*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (7 - 178\/30) + (-12)\/30.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 - 80\/(-15) - 7320\/360.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 13 = -2*f, 0 = -4*p + f + 5 + 5. Suppose -3*z + p - 24 = 0. Let x = z + 11. Which is the smallest value?  (a) x  (b) -4  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2*a - 2)*(2*a**3 - 15*a**3 - 2*a**3)*(5*a - 4*a + a) + 8*a**5 - 3*a**5 + a**5 + 5*a**5 - 1 + 1.\nAnswer: 71*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 423\/38 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 44718117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 58 and 28?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h**2 + 5. Let f be v(5). Suppose -4*a = -7*a + f. What is the least common multiple of a and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 + 14*i**2 - 16*i - 18. Give c(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*n + 5235337 = -19*n - 29*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zx when two letters picked without replacement from {g: 1, z: 2, u: 8, j: 1, y: 7, x: 1}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1342990\/7 + 388599\/2. Let h = d + -9596344\/3927. Let p = 1\/66 + h. Which is the third biggest value?  (a) 0.6  (b) 4  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*i - 2*i - 16*i - 667 for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 213 - 212.965. Let y = s - -0.145. Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 46964.86 centuries in millennia?\nAnswer: 4696.486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -151014 - -15?\nAnswer: -150666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 1069*v + 3533. List the prime factors of t(8).\nAnswer: 5, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 2 + (2 - 6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1*-1)\/((-7)\/14). Solve 0*j = -j + 5*g + 22, -g = h*j + 11 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 95 + -64. Suppose t*p - 185 = 26*p. Solve -6*x - 4*w + 13 = -x, -5*x = -4*w - p for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 2*j**2 - 3. Let l(d) = -4*d**2 + 1 - 4*d**2 + 7*d**2. Let z(i) = -6*l(i) - 2*q(i). Let t(u) = 15*u**2. Determine z(t(a)).\nAnswer: 450*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 6, h: 2}. What is prob of picking 1 h and 1 n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*x + 4*x + x + (-x - 4*x + 3*x)*(2 + 1 - 4) + x + x - x + x + 0 + 0)*(2*x**4 + x**4 - 4*x**4).\nAnswer: -7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/6*(-61962)\/(-1796)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/4  (b) -1\/9  (c) 1\/2  (d) -1  (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/61375 and 19\/1046.\nAnswer: 64198250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of b**3\/3 + b**2\/2 + b + 119. Let l(f) = f**3 - 5*f**2 - 3*f - 4. Calculate -l(o) - 4*s(o).\nAnswer: -o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -17*h + 228. Let t(y) = 16*y - 230. Let s(i) = -6*b(i) - 7*t(i). Let f be s(24). Factor -x**f + 7\/3*x - 2\/3 - 7\/3*x**3 + 5\/3*x**4.\nAnswer: (x - 1)**2*(x + 1)*(5*x - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -51661 - -97173. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50836 is divided by 3630?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**4 + 18392*q**3 - 23624164*q**2 + 5707405440*q - 385194009600.\nAnswer: -4*(q - 2155)**2*(q - 144)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00501 rounded to 4 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 8 = 1. Let m be (-31)\/(-2) + g\/2. Solve -5*v + m = -w, v - 3*w = -6*w + 13 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9355.513 centimeters to kilometers.\nAnswer: 0.09355513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -840, -825, -796, -747, -672, -565?\n\"Answer: x**3 + x**2 + 5*x - 847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11 and 104962?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**3 - 4227*y**2 - 8538*y + 101592.\nAnswer: 3*(y - 1411)*(y - 4)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 73\/65 - 12\/13. Which is the third smallest value?  (a) 2  (b) g  (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -2  (b) 2286  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 6683 - 147067\/22. Calculate the common denominator of i and -37\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -72590*a*b**3 - 344998*a wrt b?\nAnswer: -217770*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 0, 19, -2, -3.\nAnswer: -7, -3, -2, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -95, -5, 2, -2, 191, -48 in increasing order.\nAnswer: -95, -48, -5, -2, 2, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 23 + -20. Which is the smallest value?  (a) p  (b) -16  (c) 2\/19  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d + 154?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33*o = 32*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 70360, 70408, 70460, 70516, 70576, 70640?\nAnswer: 70708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 5:36 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3572 divided by 76?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 42975 by 5.\nAnswer: 8595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 353*b**3*r**2*u**3 + 1850*b**3*r*u**3 + 420*b**3*u**2 + 42*b**2*r**2 wrt u.\nAnswer: 2118*b**3*r**2 + 11100*b**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, -19, -0.1, 6, 5501 in increasing order.\nAnswer: -19, -0.1, 6, 7, 5501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -70, -3, -2, 3939, 1, 5 in decreasing order.\nAnswer: 3939, 5, 1, -2, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 5 = -33. Let a = 8 - -2. What is the remainder when x is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25475795951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 9*i - 4*i**3 - 1335*i**2 + 2 + 1335*i**2 to the form d*i + v*i**3 + l*i**2 + k and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 594\/(-165)*70\/(-21).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 31\/1 + 385 + -407. Solve 29*a = 32*a + u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2827600503 to the power of 1\/2, to the nearest integer?\nAnswer: 53175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-88)\/(-8)*8\/44?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = d**3 + 4*d**2 - 5*d - 1. Suppose -8*h + 16 = -0. Suppose 0 = 4*q - h*u + 16, -3*u - 31 = 3*q + 2*q. Determine o(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kuub when four letters picked without replacement from {k: 5, c: 4, u: 2, t: 4, b: 1}.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 14 - 7. What is the remainder when 13 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*q - 2*q - 16. Let g(m) = 5*m**2 - 4*m + 4 + m + 2*m - m**2 - m**3. Determine g(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1515266*p - 1515406*p - 1434 = 3886 for p.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/2)*h**(-6)\/h*h)\/(h**(-2)*h*h**(1\/8)) assuming h is positive.\nAnswer: h**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3.3 - 171.\nAnswer: -167.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 - (3 - 3)*1. Suppose 2*o + 4 = -n, o + 0*n - n - 4 = x. Suppose c + 19 = 4*r, 0 = -3*r + 2*c + c + 21. Solve -y = -r - o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16373\/4678)\/((4 - 9)\/50).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 230092, 230091, 230090, 230089?\nAnswer: 230088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*u - 4 + 4 + (-2*u + 4*u + u)*(0 + 0 + 2).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/5359813 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*t**2 - t**2 - 30*t**3 - 8*t**6 + 30*t**3 wrt t.\nAnswer: -960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 + 1. Let r(x) = 8*x**2 - 9. Let b(q) = -q**2 + 1. Let j = -6 + 11. Suppose -j*l = -3*l - 36. Calculate l*b(y) + p*r(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = k + 72 - 73. Let f(x) = 2*x + 2. What is f(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 288 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 21\/49 + 45\/(-7). List the prime factors of t\/(-4) - (-245)\/14.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0.5  (b) -2  (c) -6  (d) -5  (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.107*-87964\nAnswer: -9412.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 550406*d**4 - 679351.\nAnswer: 2201624*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 229976 and 357048?\nAnswer: 540213624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 14\/(-5 - (-17647)\/3528) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence akaa when four letters picked without replacement from kkakakkuaaaakkaaku?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (140\/6)\/((-12)\/(-54)). What is the tens digit of ((-24)\/(-20))\/(6\/y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of 13*i**5\/30 - i**4\/6 - 6*i**2. Find the second derivative of p(b) wrt b.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in fourty-four fifths of a centimeter?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 5*g - 20. Let n(h) = -15*h + 59. Let m(f) = 11*a(f) + 4*n(f). Let k(t) = -3*t + 11. Let v(x) = 8*k(x) - 5*m(x). Is 15 a factor of v(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00010621602 to 6 decimal places.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 2 m when three letters picked without replacement from mjkujumzmmkuuj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -i + 3, 5*p - 4*i = 2. Let r be p\/3 - 1057\/(-21). Calculate the greatest common divisor of r and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4211 <= 4209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -6*p + 55. Suppose -p*g + 7 = -298. List the prime factors of g.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -144 and -62?\nAnswer: 8928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 2*b + 4. Let p be 259\/b - 1\/(-4). Suppose 0 = 5*l - p + 15. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 29*w + 9. Let q be x(4). Let p = q + 35. Let s = p + -1118\/7. Is -0.1 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -348*u**4 + 718.\nAnswer: -1392*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13002, 1, -1 in decreasing order.\nAnswer: 1, -1, -13002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 751 and 751 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001174888 rounded to 7 dps?\nAnswer: 0.0001175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 + -1)\/(16\/16). Let b(c) = 7 + r*c**3 - 5*c - 5*c**3 + 4*c**2 + 4*c**3 - 4. Calculate b(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = u**2 + 6*u. Let i be r(-5). Let g = 7 + i. Sort -1, 5, g.\nAnswer: -1, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -5457, -10766, -16015, -21174, -26213, -31102, -35811?\n\"Answer: 5*s**3 - 5344*s - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 192, 190, 188, 186, 184?\nAnswer: 182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*x**3 + 41354*x**2 - 12998886*x + 1029391758 = 0. Calculate x.\nAnswer: 159, 20359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 7*d**3 + 49*d**2 + 49*d + 49. Let m(g) = g**3 + 6*g**2 + 6*g + 6. Suppose -3*o + 5*a = o - 191, 2*o = -3*a + 101. Calculate o*m(z) - 6*t(z).\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1005 - -1005.28016. Let h = -6.2 - -5.92. Let u = d + h. Round u to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*(0 - 2)\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1190, -1243, -1296, -1355, -1426?\n\"Answer: -c**3 + 6*c**2 - 64*c - 1131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a kilogram in grams?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v = 5*v - 60. Let q = -5 + v. Suppose 0 = 4*o - q*o + 48. Does 16 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -123047805 and -123047806 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6597828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 11 - 11 = 0. Let p = 1 - a. Solve -3*d - p = d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 3, 2, 4, 18 in ascending order.\nAnswer: 2, 3, 4, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45830953 to the nearest integer?\nAnswer: 6770","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1263*g*w**2 + 131*g*w + 7358566*w**2 wrt g?\nAnswer: -1263*w**2 + 131*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y**2\/2 + 1089703*y\/2 + 544852 = 0 for y.\nAnswer: -1, 1089704","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -154083836.64 plus 2660?\nAnswer: -154081176.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1061\/23 greater than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 (base 9) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 3  (b) -10  (c) 3\/2  (d) 0.5  (e) 0  (f) 2550  (g) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*y + 4*i + 2, -i - 2 = -y. What is the tens digit of y\/(-5) + 132\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*w + 0 + 0)*(72*w + 2 + 253*w + 12*w) as y*w + l*w**2 + a and give l.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 334283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 4*u + 18, 0 = -0*u - 4*u + 12. Let r be (-2356)\/130 - (q + 6). Let f = -350\/13 - r. Find the common denominator of -97\/10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -75*c - 77*c + 151*c + 5 + 10. Let f be w(13). What is the greatest common divisor of f and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 126 and 896?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 65806 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 14*o**2 - o - 6. Let i be n(-14). Let h be (-5 + i)*(-2)\/(-6). Let c = -13 + 51\/4. Which is bigger: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1099?\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/w**(-7)*w\/(w**(-2\/21)*w)*(w*w*w\/(w\/w**(1\/3)*w))\/w**(-2\/17)*(w**(-2\/11)*w**(-2))**(34\/7) assuming w is positive.\nAnswer: w**(-1376\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 1:09 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-50)\/525 + (-152)\/315. Let a = x - -1042\/2115. Which is smaller: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.06, 107, -0.4, -50, 5, 9\/5 in ascending order.\nAnswer: -50, -0.4, 0.06, 9\/5, 5, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1700.9 - 1700.9011409. What is k rounded to 4 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20616857 divided by -86263\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1098931849?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 4*m + 5*x - 8, 2*m + 2*x = 24. Suppose -2*r - o + 183 = 0, -2*r + 5*o = -3*r + 96. Calculate the highest common factor of r and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.23 or -0.12?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 4403102843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19247 + 33.43.\nAnswer: 19280.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31, -27, -23?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-8) - 15\/(-2). Let j = r + -4. Suppose 5 - j = 2*a. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**2*g**3 - 1523793*b**2*g**2 + b**2*g - 2*b**2 + 123002*b*g + g wrt g.\nAnswer: 12*b**2*g - 3047586*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 147\/(-9) + (-1350)\/(-90) + (-61)\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = 3*f**2 - 3*f. Let y(k) = -k**2 - k + 1. Let w(j) = -v(j) - 2*y(j). Calculate the remainder when 4 is divided by w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9, -3, -29, -75, -147, -251, -393, -579?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -20333\/42 - -3565\/7. Let i be (3 - 2830\/(-21) - -1) + -1. Let o = 794\/7 - i. What is the common denominator of f and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2*v - 4)*(2*v**3 + v**3 - v**3) + 3*v**4 - 2*v**4 - 2*v**4 + 9*v**4 + 106*v**3 - 106*v**3.\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 116\/6*498\/(-5). Let i = -3601 + 5520. Let k = n + i. Is -6 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:41 AM and 12:38 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u**2 + 11*u - 23. Let z(k) = -3*k**2 - 21*k + 47. Let l(m) = 5*n(m) + 2*z(m). Let v be l(12). Let f(j) = -j - 14. Calculate f(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 370*c + 96. Let g be z(23). Suppose 0 = -0*v - 3*v + f + g, -3*v + 4*f + 8621 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57447*p**2 + 865 - 6788*p**2 - 26578*p**2 - 865.\nAnswer: -90813*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2798 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 + 479\nAnswer: 478.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/(-28))\/((-7)\/(-84)*-9)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 51 + -67. Let a(f) = 2*f + 36. Let n be a(q). Solve -p = n + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/106 - (-1 + 6 - 4846374\/900258)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*o**2*r**2 - 927740*o**2 + 1449341*o*r**2 + 13*o*r + 2*r**2 wrt r.\nAnswer: -6*o**2 + 2898682*o + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 17490.7 and -2.\nAnswer: -34981.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 116755218 + -169535218. Round n to the nearest 1000000.\nAnswer: -53000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 80103 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -11 + (-24 - -33)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 2*i**2 + 8*i + 2. Calculate t(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the second derivative of -c**7\/12600 + c**6\/600 - c**4 - 5*c. Let g(w) be the third derivative of h(w). Factor g(a).\nAnswer: -a*(a - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(4 + (((sqrt(119) - sqrt(119)*-1 - sqrt(119))*5 - sqrt(119)) + sqrt(119) + sqrt(119) + -2*sqrt(119)*1)\/(((1*sqrt(441))\/sqrt(7))\/sqrt(9))).\nAnswer: 12 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - 1 - 2)*-1. Suppose 4*m - 11 = -4*z + 25, -z = -m + 1. Let y be ((-7)\/(-4))\/(1\/z). Calculate the greatest common divisor of f and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3655 and 340?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a + a**5 + 4*a**5 + 0*a**5 + (a**2 - 2*a + 2*a)*(-2*a**3 - 7*a**3 - 4*a**3) - 2*a**5 + a - a.\nAnswer: -10*a**5 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 7.4 - 7. Let k = 3\/104 + 181\/936. What is the closest to -1 in x, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/307, -0.063, 3\/4?\nAnswer: -2\/307","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1919 and 404.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 633449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 142939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25)\/(29425\/(-29403)) + -25?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {t: 2, c: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 23872 = -21*q. What are the prime factors of q?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 149\/2940 and -69\/1400.\nAnswer: 29400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 10:38 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 537, -0.2, -3, -2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f + 25549 = -5291. Suppose 0 = -5*u + 20*u - f. Calculate the remainder when u is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 39*a**2. Let t(q) = 2099*q. Give t(c(g)).\nAnswer: 81861*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s - 4. Let y(m) = 4*m - 13. Let v(x) = -7*q(x) + 2*y(x). Let a be v(-6). Let c(z) = 2*z + 2. What is c(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 1:52 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -90, 2 in descending order.\nAnswer: 2, -8, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7284 divided by 3?\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53 = 5*f - z, -1813*f - 4*z = -1816*f - 127 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 18526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**2 + 4. Let m(d) = 9*d + 1 + d**2 - 37*d + 28*d. Calculate 4*m(t) - z(t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/9  (b) 26  (c) -3\/4  (d) 0  (e) -8  (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99 = 3*t - 5*c, 468414*c - 468413*c + 165 = -5*t for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 106 + -45. Let b = 85 - z. Which is smaller: b or -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 17 - 12. Suppose 20 + 0 = t*z. Calculate the least common multiple of 22 and z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3 - 1)*(-4*t**4 + 7*t**3 - 7*t**3)*(647*t + 1364 - 1364).\nAnswer: -5176*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 - 15 + 28 + 1157*w**2 + 784*w**2 as p + v*w**2 + j*w and give v.\nAnswer: 1941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000 - -121222201112?\nAnswer: 121222202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6\/13 or -930849?\nAnswer: -930849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 8 = u, -5*b + 5 = -0*b. Let q(g) = -g**3 + 4*g**2 + 5*g + 2. Let z be q(u). Factor 8*f**4 - f**5 - 5*f**4 - 2*f**z - f**3 - f**2 + 2*f.\nAnswer: -f*(f - 2)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4 + 5 + 10*z - 12 - z**2 to u*z + s*z**2 + r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5205097 to the power of 1\/4, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1353 - 1353 + 2361*n)*(2*n + 0*n - 3*n)*(-2*n - 3*n + 3*n).\nAnswer: 4722*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 10*y - 9. Let s be k(9). Let j be (-97 - s) + (7 - 5). Let l = 212 + j. Round l to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = v**2 + 6*v + 3. Let m be r(-6). Suppose -m*o + 4*o - 2*h - 62 = 0, -10 = -2*h. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3058 is divided by 41?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 11 - ((-6)\/1 + 4). Suppose d - 112 = -s. List the prime factors of d.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 8\/25 of a kilogram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 432 by 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -28, -5, 16 in descending order.\nAnswer: 16, 0, -4, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0 - 1. Let n = v + 0. Let u be 2\/(-1 + 3) + n. Solve -2*c - 2*c = u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 5*w. Let x be n(-5). Let d = -2.37 + -0.23. Let p = d - 1.4. Put x, -1\/3, p in descending order.\nAnswer: x, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 263239660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 68551906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 131823166 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/(-14)*(-21)\/6. Let h(n) = -n**2 - 7*n - 5. Let a be h(-5). Let g be (-1)\/2 - ((-1)\/(-6))\/((-45)\/1485). Solve x*f = g*s + 7, a*s = -3 - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -9*f**3 - f**2 + f + 1. Let w(l) = -8*l**3 - l**2 + l + 1. Give 3*b(q) - 2*w(q).\nAnswer: -11*q**3 - q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 97\/3 + -34. Let s = 31\/65 + -1\/13. Which is the second biggest value?  (a) m  (b) s  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -126\/11?  (a) -0.56  (b) -4  (c) 0  (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1 + 5134?\nAnswer: 5135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.22 + -0.22. Let t = -0.02 + 0.12. What is the second biggest value in t, x, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**4\/6 - 515*q**3\/3 - 59166*q**2 - 6900876*q - 26667792.\nAnswer: -(q + 4)*(q + 342)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*m - 1 = 10*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4.6 - 0.6. What is the closest to 0.3 in y, -5\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 1444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1011110010111010 (base 2) to base 11\nAnswer: -33332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 323 and 21148?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -593 + 889. Let f(r) = -b + 296 - r**2 - r**2. Let k(z) = -15*z**2. Calculate k(f(o)).\nAnswer: -60*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -10137, -40255, -90353, -160431, -250489, -360527?\n\"Answer: -9990*i**2 - 148*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 186372100 rounded to the nearest one hundred thousand?\nAnswer: 186400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve r = -5*r - 18*r - 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*w + 4*p - 22 = 0, 0 = -300*w + 296*w + 5*p - 31 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2490365, -2490399, -2490445, -2490509, -2490597, -2490715, -2490869, -2491065?\nAnswer: -2491309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 992.683 litres to millilitres.\nAnswer: 992683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2131029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -h + 7. Let f(c) = -c - 3. Let y be f(-6). Let l be k(y). Let d(m) = m**2 - m. Let p be d(0). Put p, -4, l in increasing order.\nAnswer: -4, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7.94 - -8. Let d = 126038 + -126034. Sort l, d, -1 in decreasing order.\nAnswer: d, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**3 + 2*a**2 + 3*a + 6. Let v be j(-7). Let f be v\/(-18)*3*-1*1. Let i = -4 + f. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k**3 - 14*k**2 - 24*k - 1. Let v be s(-12). Sort 2, 3, 7, v in descending order.\nAnswer: 7, 3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90 = -116*y + 101*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 0*f = -138. Let n = -133 - f. Solve n = 3*c - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -326667740 by 2.\nAnswer: -163333870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 AM and 2:25 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -717493*-6.2\nAnswer: 4448456.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 4\/12*-2 + (-34)\/(-6). Find the second derivative of -6*f - 10*f**3 - 16*f**2 + 2 - 2*f**j - 10*f**3 + 20*f**3 wrt f.\nAnswer: -40*f**3 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 25*v**2 - 18*v**2 + 38*v**2 + 2*v**2 - 1 + 1 + (1 + 2*v - 1)*(1 - 1 - 2*v).\nAnswer: -7*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1 + 0. Let d = 11 + -6. Suppose 0 = 10*m - 5*m - 15. Which is the smallest value?  (a) d  (b) m  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 260919 is divided by 78.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/((b\/b**(-2\/27))\/b))\/(b\/b**(3\/11)))\/(b*b**0\/b*b)**(-4\/21) assuming b is positive.\nAnswer: b**(809\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 3900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 2*b = -336, -2*p - 100 = -2*b + 38. Let q = p - -70. Sort q, 2, -4 in decreasing order.\nAnswer: q, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1*(sqrt(38) - sqrt(38)*-1*5 - (sqrt(418)\/((sqrt(11) - sqrt(99)) + sqrt(11)) - sqrt(38)))\/(-6*sqrt(288)*-1))**2 + 3.\nAnswer: 424\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*a - 4 - 3*a**3 + 4*a - a + (-2*a + 2*a + 2*a)*(-3 + 3*a**2 + 3).\nAnswer: 3*a**3 - a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 36 + 1 + (-6)\/3. Calculate the smallest common multiple of 10\/3*42\/y and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 - 4*u + 1. Let r be l(4). Let c(m) = -2*m. Let d be c(r). Let v be (-119)\/5 + d\/10. Round v to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -7\/544 and 65\/12?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) be the second derivative of n**3\/3 + 2*n - 361. Let i(k) = -144*k + 1. What is q(i(s))?\nAnswer: -288*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10579*s + 26098.\nAnswer: -10579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence plg when three letters picked without replacement from ppallppppchhcppppgp?\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -3*g**3 + g - 2. Calculate the remainder when n(-3) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1562763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-24*3)\/(-1) + (-4)\/4. Suppose k = 21*w - 13. Solve -j - 8 = -9*r + 4*r, -w*r - 4*j - 8 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -34.367152 rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(2\/7)*s)\/s)**(-3\/22)*(s**3)**(-30) assuming s is positive.\nAnswer: s**(-6933\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (z + 3*z - 2*z)*(2 - 2 + 2) - 5*z + 2*z + z - 2 - 4 + z + 7 - 4*z + 1 - 1 in the form h + l*z and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5562 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 2, 0.6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1566.4 - -1872. Let w = 15.6 - g. Let t = w - -290.121. What is t rounded to 2 decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 12) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*1 - (-2 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -o**3 + 6*o**2 - 5*o - 1. Let t be r(4). Let n = 7 - t. What is the second smallest value in -1, 5, n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 + 4*l**2 + l + 4. Let j = 11 - 15. Let b be p(j). Suppose b*m = -2*m + 26. What is the greatest common factor of 13 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 443778249019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2\/100385 + -9737241\/5220020. Calculate the common denominator of g and -4\/143.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26402?\nAnswer: 2, 43, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/3, -106, 4, -1\/4, -2 in descending order.\nAnswer: 4, 1\/3, -1\/4, -2, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1604, 3203, 4800, 6395, 7988, 9579, 11168?\nAnswer: 12755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3583612298 to the nearest integer?\nAnswer: 1530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1788759189 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (18\/63)\/((-1)\/(-7)). Solve -d + 0*d = -l, -4*n - 5*d = -18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 5\/4 of a second?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -386*k - 101 - 540*k - 104 - 108 + 313.\nAnswer: -926*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ojorrooojohoohorhh. Give prob of picking 1 r and 2 o.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 1, -27, -89, -197, -363?\n\"Answer: -2*y**3 - 5*y**2 + y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d**2 + 37542*d - 117450147 = 0.\nAnswer: 6257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/8)\/((-33)\/(-132))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 2*h**3 - 4*h**2 - 3*h. Let d be i(4). Let b be (-16)\/(-3) + d\/(-13). Is 2 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1309 is divided by 815.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 948?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*f + 2137 - 2258 = 0 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*2\/(12\/9). Suppose -l*m + 48 = m - 4*j, -5*j = -2*m + 18. What is the remainder when m is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 262.9597 millilitres to litres.\nAnswer: 0.2629597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-88)\/(-110))\/(198\/15).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -152\/45 - -289\/90. Which is the fourth biggest value?  (a) -4  (b) 90  (c) 0.8  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5*(-3)\/(-2)*(-102)\/(-85). Suppose 1 = -4*c + a. Is c at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9044.23 rounded to the nearest ten?\nAnswer: -9040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 + 68*z - 197. Let w be q(3). Suppose 1 - 2 = -r. Let m be (4 - r)*8*w\/(-12). Solve 0 = -n + m - 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -730, 4, -4, 0 in decreasing order.\nAnswer: 4, 0, -4, -730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2362962 is divided by 2145?\nAnswer: 1317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -2*b + 7, -3*b = -2*s - 5 - 6. Let t be 3 + (-1)\/b*-3. Suppose 4*q - 16 = -t*q. Solve q*p + 4 = 4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 (base 6) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.13 - -0.13. What is the closest to 0.09 in -0.4, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 69*q + 6. Let y(f) = 23*f + 2. What is -4*v(g) + 14*y(g)?\nAnswer: 46*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 PM and 7:58 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 59 - 37. What is the tens digit of (b\/(-3))\/((-12)\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -10*h - 23. Let w be a(-17). Let o = w + -30. Let n(t) = -4*t - 11. Let k be n(-5). What is the highest common factor of k and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**2 - 38*a - 60. Let k(p) = p**2 - p. Let d(h) = -3*k(h) + q(h). Find b such that d(b) = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1470624 + 115?\nAnswer: 1470739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*y**4 + 8*y**3 - 74*y**2 - 42666 wrt y.\nAnswer: -8*y**3 + 24*y**2 - 148*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -510221\/12 and -42517 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 354*y**2 + 191*y**2 + 61*y**2 - 159*y**2 to the form j*y**2 + v + b*y and give j.\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -188\/3 - -62. Let b = 585581.1 + -585581. What is the third biggest value in 3, b, -1\/4, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/7)\/(1\/14). Suppose 3*k = w*d + 146, 2*k + 3*d = 83 - 14. Let b(r) = r**2 - 3*r + 6. Let m be b(0). What is the greatest common divisor of m and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 8*s**2 + 9*s - 10. Let f be o(7). Suppose 0*k - 1 - k**f + 3 + 2*k**3 - 2*k - 1 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.097+-18\nAnswer: -17.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.3 and 72572.376.\nAnswer: 72572.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 45\/4 of a meter?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.109?  (a) 18\/11  (b) 0.2  (c) 93  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -4*i - 1. Let l be t(-7). Let c = l - 23. Find m such that 2*m**2 - m + 6*m**3 - m**c + 3*m**4 - 5*m - 4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*x**2 - x**2 - x + 3*x**2)*(-6 + 2 + 3)*(2*x**2 + 4*x**3 - 2*x**2).\nAnswer: -108*x**5 + 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11278 = 267*h + 12731 - 9770 - 17582 for h.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*q**5*y + 276*q**3*y - 245*q**2 + q*y + 1 wrt q?\nAnswer: 180*q**2*y + 1656*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -73110*a*c*j - 132*a*c - 2*a*j*n - 2*a - 54*c*n wrt j?\nAnswer: -73110*a*c - 2*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*t - 24 = 5*c, -5*t + 158 = -5*c + 133 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2984 - 3009.86. Let l = i - 2.04. Let a = 28 + l. Are a and 0.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*l + 18. What is the common denominator of -2 - (1 - (-25)\/l) and -103\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (1*-1)\/((-3)\/27). Let n be m\/(-15)*5*-1. Solve 7 = -2*a + n*a - 3*u, 5*a = -3*u - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 863 by -37970.\nAnswer: -863\/37970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 7) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 515575 and 109325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**2. Let j(q) = -13*q - 5. Let w(l) be the first derivative of -l + 15. Let i(r) = j(r) - 5*w(r). Calculate z(i(g)).\nAnswer: 169*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:11 AM and 7:41 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**7\/70 - j**5\/10 - 8*j**2. What is the third derivative of u(t) wrt t?\nAnswer: 72*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3653404 is divided by 223?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*x**3\/7 - 37617*x**2\/7 + 75270*x\/7 - 37641\/7 = 0. What is x?\nAnswer: -12547\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -436, 3569, 10238, 19571, 31568, 46229?\n\"Answer: 1332*w**2 + 9*w - 1777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/15813  (b) -2.4  (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 55 = 2*j. Let r be (-1 - j)*(-5)\/(-10). Suppose -53 - 37 = -r*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -19*k. Let z(n) = 103*n. Let g(v) = -11*i(v) - 2*z(v). Let w(p) = -3 + 3 + p**2. Calculate w(g(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 35*b**5 - 17*b**5 - 2*b**2 - 16*b**5 + (b**3 + b**3 + 3*b**3)*((2*b - 9*b - 2*b)*(-b + 2*b + b) + b**2 - 2*b**2 + 2*b**2).\nAnswer: -83*b**5 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2*f = -2 - 3, -3 = -3*o + 4*f. Let r be 4 + ((-1)\/o - -3). Is (-9)\/r - 5140\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -253876525*o**4 + 67*o**2 + 16111*o + 14?\nAnswer: -6093036600*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -762 - -760. Let d(y) = 3 + 3*y - 12*y + 11*y. Give d(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -30989\/977 or -33?\nAnswer: -30989\/977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -447, -565, -763, -1041, -1399?\n\"Answer: -40*w**2 + 2*w - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - x - 56 = 0. Is 22 a factor of 620\/x - 14\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2128\/(-168)*(1 - (-2)\/4). Let s(c) = c + 43. Let j be s(n). Suppose -j*p + 665 = -19*p. List the prime factors of p.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 143 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -421.9 to the nearest integer.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -4. Let m = 7 - w. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78873 = -2143*f - 2608*f + 510*f - 61080 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -52, 23, 98, 173, 248, 323?\nAnswer: 398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 7, l: 6}. Give prob of sequence uuuu.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -5 + 7. What is the third derivative of -a**m - a**3 + 2*a**2 + 2*a**2 wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 13 + -12. Suppose 2*t = 4*f + 14, 4*f - f = -t - 3. Let a be (-6)\/15 + 54\/10. Sort f, b, a in decreasing order.\nAnswer: a, b, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6.1 - -8.1. Let s = 1 - 1.2. Let v = 6.2 + s. What is the second smallest value in z, v, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 15319508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -3*f**2 + 16*f + 4. Let i(y) = -2*y**2 + 8*y + 2. Let m(z) = 12*z + 77. Let h be m(-6). Give h*i(w) - 3*p(w).\nAnswer: -w**2 - 8*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.03 + 59.97. Let z = 172 + -237.6. Let a = g + z. Round a to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2*sqrt(304))**2 + -4 - -3*(1*(0 + sqrt(304)) + sqrt(304)).\nAnswer: 24*sqrt(19) + 1210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8874306 a multiple of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -5*y**3 - 3*y**2 + 3*y - 4. Let j(g) = 8*g**3 + 2*g**2 - 2*g. Give -3*j(f) - 2*o(f).\nAnswer: -14*f**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 2)*(1 - 3 + 3)*(7 - 7 - i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13783)\/1419 + -85 + 281589\/3311.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 2*w + 277932 = 0, 0 = 3*i - 15*w + 19*w - 416863. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.101774, 1\/7, -1\/32, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00004049 to 6 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1000001 (base 2) to base 14\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2092637431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**2*w)\/w*w\/(w*w**6*w)*w\/w**(6\/5)*w*w**(-6))**(5\/3) assuming w is positive.\nAnswer: w**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = -2*b**3 - 3*b**2 + b + 3. What is the tens digit of i(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -62.3169 from 16741.\nAnswer: 16803.3169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18898 and 902.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (1 + -2)*(-3)\/(-6). Let w = -555\/3934 + -1\/562. Which is the second smallest value?  (a) -4\/5  (b) q  (c) 3\/10  (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -310  (b) -3\/5  (c) -2\/11  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/(-27))\/(((-224)\/12)\/8 + 6).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*w - 2*a = -7*w - 200, -3*a = -2*w + 132. What is the smallest common multiple of w and 570?\nAnswer: 5130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 216 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1299 (base 10) to base 9\nAnswer: -1703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 - -144?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 39134 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 583006047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmdf when four letters picked without replacement from vfvmvffmffvvdbvv?\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112440342 (base 5) to base 4.\nAnswer: -1331300121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q - 1. Let m be d(4). Put 5, m, -1 in descending order.\nAnswer: 5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*b**4 - 4*b + b**3 - 7*b + 10*b - 2*b**2 to the form a + c*b**2 + p*b + v*b**3 + x*b**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l + 4. Let w be z(3). Let h(u) = 2*u**2 + u - 1. What is the lowest common multiple of 1\/(-4 - (-13)\/3) + 15 and h(w)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5822977 and 71.31.\nAnswer: 5823048.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 918*m**2 - 300*m**2 - 309*m**2 - 308*m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -20*x**3 - 17792*x**2 + 78640*x - 28608.\nAnswer: -4*(x - 4)*(x + 894)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -6*w + 15. Let r be o(-3). Suppose x = -2, 0*t - r = -5*t + 4*x. Suppose -17 = -2*s + v, -t*s = 4*v - 2*v - 29. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22198 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/11, -444\/95, 87 in descending order.\nAnswer: 87, -1\/11, -444\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -24?  (a) 3  (b) -2\/5  (c) -584\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2*2*sqrt(130)*2*1)\/(-1*(sqrt(250) + (sqrt(250) - (sqrt(250)*-1 + sqrt(250))) + sqrt(250) + sqrt(250) + sqrt(250) + sqrt(250))*4).\nAnswer: -1 + sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 41861577?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*b*u**2 - 1280*b + 118*u**2 + 2*u wrt u?\nAnswer: 6*b*u + 236*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 910, 1846, 2814, 3826, 4894?\nAnswer: 6030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 + 32*r + 122. What is d(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/2*-31*(-20)\/36270?\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d*d**(-2\/9)*d))\/(d\/(d\/(d\/d**(2\/5)))))\/((d*d**9)\/d**(2\/25)) assuming d is positive.\nAnswer: d**(-2542\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(-1*sqrt(34) - sqrt(34)))\/(-3*sqrt(18) + sqrt(2)))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3909 + 3921 - (1 - 58)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q**5 - 35*q**4 + 415*q**3 - 1005*q**2 + 630*q = 0. Calculate q.\nAnswer: -14, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes before 1:40 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.07 and 307?\nAnswer: 307.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2857839, -2857808, -2857777?\nAnswer: -2857746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 903*g - 462637 = 874*g. List the prime factors of g.\nAnswer: 7, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 432 - 401. Is w less than 225\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n**5\/4 - 1581*n**4\/2 - 41379*n**3 + 1869453*n**2\/2 - 17957943*n\/4 = 0.\nAnswer: -67, 0, 9, 1103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, w: 2, j: 3, f: 4, m: 1}. What is prob of picking 1 f and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = g**2 + 17*g + 30. Let y be a(-15). Suppose -4*n + 16 = -y*n. Solve 2*i = n*i + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 49089760 and 970?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**2 + 10*p + 14. Determine h(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/6 or -437168\/31?\nAnswer: -437168\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of h*j**3 - 8*h*j**2*p**2 + 8*h*j*p - 5*h*j + 26*j**3*p**2 + 3*j*p**2 + p wrt j.\nAnswer: 6*h*j - 16*h*p**2 + 156*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1206)\/66 - 17\/((-1683)\/126).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15170 (base 11) in base 15?\nAnswer: 657e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of w**5\/10 + w**4\/12 - w**3\/3 + 3*w**2\/2 - 2*w. Let r be u(2). Let h = -8 + r. Does 11 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 489*d + 19307. Give o(-40).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 6*f = 3*f + 6, 4*f = -5*o + 46. Suppose -16910 = -o*a - 4*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 2*m. Let f(u) = u. Let p(o) = 3*f(o) - q(o). Let i(c) = 2*c**2 - 11*c. Let s(z) = z**2 - 11*z + 6. Let w be s(4). What is w*p(l) - 2*i(l)?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) be the second derivative of -1\/60*b**6 - 83 - 2*b - 1\/12*b**4 + 10\/3*b**2 - b**3 + 13\/120*b**5. Suppose j(m) = 0. What is m?\nAnswer: -5\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 34*g**3 - 2*g - 1. Give m(-1).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(39)\/(sqrt(3)*-3) + 5.\nAnswer: -sqrt(13)\/3 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand s**4 + s**5 - s**4 + (-2*s**3 - 3*s**3 + 3*s**3)*(24*s**2 + 46*s**2 - 21*s - 81*s**2) - 5*s**2 + 5*s**2 + 3*s**5.\nAnswer: 26*s**5 + 42*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1063 or -75\/152?\nAnswer: 1063","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 175278212.\nAnswer: 2, 2729, 16057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/60)\/(16\/(-3080)) - 12\/(-32).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -16, -1, 16, -4, 7, -25 in decreasing order.\nAnswer: 16, 7, -1, -4, -16, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = 86*f - 130. List the prime factors of g(6).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 7) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 417, 423, 427, 423, 405?\nAnswer: 367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -34, -72, -126, -190, -258, -324?\n\"Answer: s**3 - 14*s**2 - 3*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + -1 + 1 - (-188 - -200)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 615384 and 5180.\nAnswer: 1036","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 3*o**2 - o + 2. Let z(j) = 15*j**2 - 4*j + 7. Let i(f) = -4*v(f) + z(f). Let x(n) = -2*n**2. Calculate x(i(u)).\nAnswer: -18*u**4 + 12*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 300 and 1309575.\nAnswer: 5238300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -15 + 19 - 30\/3\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7629.08 + 7629. Sort 0.5, 2\/19, -3\/5, -4, o in descending order.\nAnswer: 0.5, 2\/19, o, -3\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -277*m + 14071. Calculate g(57).\nAnswer: -1718","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - n**3 + n**3 - 31*n**4 + 33*n**4 - n**3 in the form h + v*n**3 + m*n**4 + c*n**2 + t*n and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 10 + 1652533442?\nAnswer: 1652533452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 64 divide 29504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2\/101 + 196\/303. Let x = -17\/9 + 5\/3. Let r = -5\/247 + 262\/741. Which is the nearest to k?  (a) x  (b) 0.4  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 544104249 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 1792 = -4*g. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1007421.\nAnswer: 3, 335807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.076 + -4.89. Let d = y + 0.214. Sort -5, d, -35 in descending order.\nAnswer: d, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -252*(-4 + 4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.010046086 rounded to four decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4920*z**2 + 38 - 127 + 44 + 45.\nAnswer: 4920*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + 8 - (-32 - (6 + -19 - -2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*n**2\/2 + 582*n - 56454.\nAnswer: -3*(n - 194)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*c - 268 + 25. What is the remainder when c is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -16*c**3 - 55*c**2 - 112*c - 8. Calculate the remainder when r(-2) is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 63 and 1512.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 106, 423, 952, 1693, 2646, 3811, 5188?\n\"Answer: 106*i**2 - i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 11*m + 2. Let l(g) = 1. Let q(h) = k(h) - l(h). Let v be q(12). What is the greatest common divisor of 19 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 49291714 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = 3*g + 5*w - 10, 0 = 3*w - 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 + 19*u + 5. Let i(s) be the third derivative of -s**5\/60 + 3*s**4\/4 + 2*s**3\/3 - 222*s**2 - 2. What is -7*i(y) + 6*m(y)?\nAnswer: y**2 - 12*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3019 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 3*r**2)*(r + 2*r - 5*r + (-2 + 0 + 1)*(-1 - r + 1) + 4*r + 5*r + 4*r).\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 18 - 3 = 2*o, 0 = 5*i - o + 18. Suppose -6*z + 10 = -4*z. Let f be 0 - ((-15)\/12)\/z. Which is the third biggest value?  (a) 2\/13  (b) f  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -271, -4 in descending order.\nAnswer: -3, -4, -5, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c = 2*a + 9*c - 1028, 5*a + 3*c = 2578. Let l = 771 - a. What is the remainder when l is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1713 - 32855?\nAnswer: -34068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 390*s**6 - 423*s**6 + 5*s**5 - 5*s**5 - 20*s**2 wrt s.\nAnswer: -3960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -6 + -1 + 9 + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -1\/2, -1, -192, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + 3. Let u = -7 + 7.6. Let q = -0.7 + u. Which is the closest to q?  (a) z  (b) 5  (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (88\/154)\/(((-32)\/84)\/(-1))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -263  (b) -206  (c) -0.2  (d) 4  (e) 0.1  (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 10, i: 10}. Give prob of picking 4 r.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of -39777211 and -0.1.\nAnswer: 3977721.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -186, 2\/3, -0.5, -104, -278?\nAnswer: -278","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 + 16*h**2 + 21*h + 34. What are the prime factors of m(-14)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -753\/4 - -192. What is the closest to -1\/5 in 0.5, b, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 3*i - 19. Let j be b(11). Let k = j - 12. Suppose 2*m - 4*a - 232 = -k*m, -3*m + 168 = -a. What are the prime factors of m?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -p**3 - 25*p**2 + 6. Let k(z) = -z**3 - 30*z**2 + 7. Let f(s) = -6*h(s) + 5*k(s). Let g(a) = a**3. What is -6*f(j) + g(j)?\nAnswer: -5*j**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**3)**19\/(v**(-3)*v\/(v*v**4)) assuming v is positive.\nAnswer: v**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2. Let d(j) be the third derivative of j**4\/24 - 55*j**3\/6 - 2*j**2 + 10. Give n(d(c)).\nAnswer: c**2 - 110*c + 3025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/5  (b) 5  (c) -0.1  (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2 - 8\/3) + 3)*-6. Suppose -8 = -2*t + l. Suppose 2*f - 4 = 5*f + 2*u, -4*f = 5*u + 10. Solve f*o + 3*o = -t for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 57903 and 154408.\nAnswer: 463224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -293323086\/5 or -58664616?\nAnswer: -293323086\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:29 PM and 3:07 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35154990.\nAnswer: 2, 3, 5, 13, 30047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m + 0*m - 2*m)*(20*m + 146*m + 31*m)*(-5 + 3 + 0) - 32 - 2*m + 64 - 29 + 8*m**2.\nAnswer: -386*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2247*f**3 + 2*f**2 - 4737*f - 24207976 wrt f?\nAnswer: -6741*f**2 + 4*f - 4737","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -2*h**3 + h**2 + 12*h - 1. Let m be t(-5). Suppose 3*p + 3*w - 1335 = 0, p - w = -m + 665. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 21137 is divided by 271.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -26 (base 16) in base 3?\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 10}. Give prob of picking 2 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29656 + -16616. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -27548 or -27546?\nAnswer: -27546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 6*(sqrt(125)*5)**2.\nAnswer: 18753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 59\/(-3)*-6 - -18. Solve 4 = a, -j*a - 3 = -5*g - 138*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 - (2 + (-81)\/75). Let h = -9.999 + 10.999. Which is the nearest to h?  (a) -5  (b) 1\/12  (c) 1  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 39  (b) 857  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -6 - 3 - 5 + 15. Let d = -3 + 4. Let k(o) = 3*o - 1. What is d*s(x) + k(x)?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bpzzibpyyzoobb. Give prob of sequence zpy.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -580437 less than or equal to -580438?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h - 6. Let f be p(-10). Let j(u) = -194 + 12*u**3 + 4*u + 190 + 4*u**2 - 13*u**3. Let s(i) = -i**3 + 3*i**2 + 3*i - 3. Give f*s(w) - 3*j(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/10*-63 + (-6)\/(-15). What is the second derivative of 11*w**4 - s*w**4 - 21*w - w**2 + w**2 wrt w?\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/3 + 58\/(-6). Let t be 33\/22*r\/(-3). Suppose 6*k = 3*k + 72. Solve 5*q = t*d - 4*d - k, -q = -4*d + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -294.0122 - -294. What is r rounded to three dps?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of -s**4\/12 + 425*s**3\/6 + 712*s**2 - 6. Let c(w) = -7*w**2. Give c(a(u)).\nAnswer: -28*u**2 + 11900*u - 1264375","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.0308, 0.6, -0.5, -1, -0.8 in decreasing order.\nAnswer: 0.6, -0.0308, -0.5, -0.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the first derivative of -t**4\/2 - 34*t**3\/3 + t**2 + 34*t - 131. Suppose g(y) = 0. What is y?\nAnswer: -17, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.11 + -1363\nAnswer: -1362.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -12*j**2 + 420*j - 1965. What is p(31)?\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 1\/2*d**4 - 15\/2*d**3 - 51\/2*d**2 - 53\/2*d = 0. Calculate d.\nAnswer: -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -9713, -9715, -9707, -9683, -9637, -9563, -9455?\n\"Answer: l**3 - l**2 - 6*l - 9707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -3, -7.2, 3\/2, 1\/5, -0.2?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1141 + -2311120?\nAnswer: -2312311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.2 + 0.7. Suppose 0 = 2*z - 5*x + 21 - 67, 2*x - 115 = -5*z. Let w = z - 68\/3. Which is the smallest value?  (a) p  (b) -0.1  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 33858 - 33799. Sort 1, 2, n, 0, -39 in increasing order.\nAnswer: -39, 0, 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24515 to the power of 1\/2, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 244896*h**5*p - 566*h**2 - 220*p wrt h?\nAnswer: 14693760*h**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 25415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -160*z - 44. Let n(y) = 53*y + 13. Calculate 7*n(c) + 2*p(c).\nAnswer: 51*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -2 - -12. Suppose -2*v - 3*v + a = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 30948 and -2.\nAnswer: -61896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 218188 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 - 23*b**2 - 15*b + 32. Let y be w(-23). Let v = y + -5657\/15. What is the closest to -0.5 in v, 0.3, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176271541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-285)\/3*(-6)\/5. Suppose 5*q - 3*g - t = 0, 3*q = 6*q + 3*g - 78. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -540*x = -534*x. Sort -0.1, 1, x, -57 in ascending order.\nAnswer: -57, -0.1, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 31 + -43. Let c be (8\/t)\/(4\/66). Let s = c - -1. Which is smaller: s or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) 32.369  (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 400705.35 rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1113 divided by -2\nAnswer: 1113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) 0.1  (b) -0.2  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (29 - 468\/16) + 0\/1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1061482 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13*p**4 + 2*p**3 - 3460*p**2 - 41926240*p + 1.\nAnswer: 156*p**2 + 12*p - 6920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (g + 6*g + 0*g)*(1 - g - 1) - 5*g**2 + 2*g + 3*g**2 + 3*g**2 to f*g + m + z*g**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1007088 bigger than 1007088?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -36*n + 624. What is q(12)?\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (0\/(-7))\/(-2*1). Suppose 5*u - 446 = -p + 5*p, 5*p - 2*u + 566 = s. Does 19 divide (p\/(-4))\/3*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a - 3*f = -4*a - 150, 2*f = 4. Let r = a - -38. Suppose 0 = r*q - 4*t - 30, 6*t + 9 = 3*t. Calculate the remainder when 33 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1.2. Let f = g - -0.5. Are -1 and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -96 + 98. Solve -6 = 3*y + 4*s, 4*s - 8 = 5*y + m for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 803145 and 210.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1000\/9 at least 307.86?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 9*i - 13. Let n(z) = -4*z + 6. Let p(r) = -13*n(r) - 6*q(r). Let f(t) = -t**2 + 5*t. Give f(p(d)).\nAnswer: -4*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m**2. Let o be 8\/(-28) + 1632\/28. Let c = o - 53. Let k(v) = 15*v**2 - 2*v**2 + c*v**2 - 8*v**2. What is k(d(q))?\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.6  (b) -2  (c) 0.11  (d) -8  (e) 2  (f) -32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3274060087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61 - 121 - 549*h + 60.\nAnswer: -549*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j + 35 = 50. Suppose -9*l - 6 = -10*l - y, -l - 10 = j*y. Solve -5*b + l + 5 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 23361034 and -5.\nAnswer: -116805170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qnnatnaqqqt. Give prob of picking 2 q and 1 n.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of -1\/3*h**4 + 0*h + 1\/120*h**6 + 8*h**2 + 1\/12*h**5 - 3\/2*h**3 + 0. Calculate k(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16\/(-36) + (-11700)\/(-35802)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 277*q**3 - 1245*q**3 + 507*q**3 + 126*q**3.\nAnswer: -335*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 7358 a multiple of 185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2021042324 + 0?\nAnswer: -2021042324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -27*w - 24*w - w**2 + 61*w - 1. Let q be j(6). What is the greatest common divisor of 207 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1084*n**2 - 9*n + 9*n.\nAnswer: -1084*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -137 + 132. Let o(b) = 2*b**2 + 5*b - 4. What is o(i)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n + w + 237, 5*n + 3*w + 280 = 878. What is the remainder when n is divided by 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 41423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1487?\nAnswer: 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13275.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of 31*y**6\/40 + y**5\/60 + 5*y**4\/24 - 2*y**3\/3 - 25*y**2. Is a(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/6*(-1072)\/6. Let f = -170 - k. Let x = f + -65. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 53*p**3 + 2*p**2 - p - 202 wrt p.\nAnswer: 318*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 97*j**2*u**3 + 1228*j**2*x**2 - 107*j*u**3*x**2 + 2*j*u**3*x - 7*j*u**2*x + u*x**2 + 2*u wrt j.\nAnswer: 194*u**3 + 2456*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -40 - -39. What is the closest to g in -2, 2\/15, 5\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 157143 and 359184?\nAnswer: 2514288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33683981.\nAnswer: 2671, 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 34 divide 94351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**2 - 2*f + 3. Let v(i) = i + 16. Let s be v(-8). Let u(o) = -2*o**2 + 3*o - 5. Suppose -z + 25 = 4*z. Calculate s*h(d) + z*u(d).\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 42 divided by -1489\nAnswer: -42\/1489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 3*p**2 - p + 1. Let b(v) = 4*v**2. Let m(y) = -2*b(y) + 3*l(y). What is m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -t - 3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2a4 (base 13) to base 11\nAnswer: 39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tofoxwtofoooofoooft. Give prob of picking 1 x, 1 o, 1 t, and 1 w.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 4*o + 4 = 0, -k - 31 = 3*k - o. Let x(h) = h**2 + 2*h + 10. Let w be x(k). Suppose -w*m = -55*m - 234. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 542 + 182 = 4*z, 0 = -z + 2*c + 184. Is (z + (-2)\/1)\/1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21181 = q + 19*d - 18*d, -4*q - d = -84739. Suppose -25*o + 7*o = -q. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 66792 divided by -1518?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is nine sixteenths of a day in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(171)*3 + sqrt(171))*6 - sqrt(171))\/(6*sqrt(72)\/sqrt(8))*-6*-3)**2.\nAnswer: 90459","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -36 + 1?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 11*k. Let l(z) = -4532*z. What is f(l(j))?\nAnswer: -49852*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3769*y = -3785*y - 24 + 152 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -37, -156, -363, -664, -1065, -1572, -2191?\n\"Answer: -v**3 - 38*v**2 + 2*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 53 = -v, 4*v - 5*w = -66 + 251. Let s be (-5)\/(-50) + (-182)\/20. Calculate the remainder when v is divided by (-1)\/((8\/156)\/(6\/s)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 66*p**2 - 13 + 27 - 14 to the form c*p + g + l*p**2 and give l.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 83406412?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**3 - 15*j**2 + 46*j - 10. What is k(6)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand -z**5 - z**5 + 0*z**5 + z**5 + 2*z**5 - z**5 + (z - 4*z + 2*z)*(-2 - z**4 + 2) + 0*z**5 + 2*z**5 + 0*z**5 + 3737*z - 3737*z - 80*z**5.\nAnswer: -77*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2247721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 19378 = -0*m - m, 0 = 5*f - 25. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -132 + 229*w + 58 + 46 + 38 + 32.\nAnswer: 229*w + 42","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/52)\/((-3)\/(-2) - 1)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -17370000 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/11 in -0.0207, 2, 2\/19?\nAnswer: -0.0207","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3569, -7083, -10575, -14045?\n\"Answer: 11*n**2 - 3547*n - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11316829 is divided by 1416.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j + 2. Let y be u(0). Let a(n) = -81*n + 4. Let h(r) = 16*r - 1. Let w(z) = 2*a(z) + 11*h(z). List the prime factors of w(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10+553.9383051\nAnswer: 563.9383051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 32 or -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in twenty-one eighths of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 - 7. Let k = 3 + z. Suppose k = 4*n - 30 - 2. Calculate the remainder when 23 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 925.6314m to centimeters.\nAnswer: 92563.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 386 minutes before 9:16 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*a - 97568 + 543041. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l, given that 78*l**5 - 1343*l**4 + 1641*l**3 + 10056*l**2 - 23180*l + 12000 = 0.\nAnswer: -3, 5\/6, 2, 200\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 14.93 + -15. Let r(z) = 89*z - 177. Let q be r(2). Which is the nearest to -0.1?  (a) i  (b) q  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/7, 0, 1\/71, 3, 6\/5 in increasing order.\nAnswer: -5\/7, 0, 1\/71, 6\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 8) + 2 - (-9 - -5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11120 + -11127.481. What is t rounded to 1 decimal place?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 22590, 22588, 22586, 22584, 22582?\n\"Answer: -2*i + 22592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2005531 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q**(-2\/3)*q)\/q)**(-2\/21)\/(q**(-1)*q**(2\/7)))**(-6\/11) assuming q is positive.\nAnswer: q**(-86\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -12  (b) -5  (c) -0.3  (d) 3  (e) 322\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that p**5 + p**4 - 4*p**3 - 4*p**2 = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3545440 divided by 886360.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 6390*q + 15 = -6395*q, 15 = -3*q for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = 22 - 4. Suppose 0 = 2*t - i*t + 8. What is the units digit of (-10)\/(-2) - (t - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3102 - -23404?\nAnswer: 30510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 529 + -527. Solve -11*q = -13*q + z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 11:35 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*a**2 + 4 - 1 - 3*a**2 - 7 to the form p*a**2 + k*a + l and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = f**2 - 8*f - 11. Let j be c(-7). Let s = j - 31. Round s to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45926627753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l - 16 = 4*l. Let p be l\/(-1) - (-1 - -5). Solve 3*t - 20 + p = -4*v, 0 = -v + 5*t - 18 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 96*p + 8*p**2 - 4.\nAnswer: 8*p**2 - 96*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/7  (b) 1  (c) -38  (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0033235078 rounded to five dps?\nAnswer: 0.00332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 q when three letters picked without replacement from {q: 16, b: 2}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 2.8, 6\/13, -92 in decreasing order.\nAnswer: 2.8, 6\/13, -8, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 + 9. Let i(h) = 69*h**2 - 24*h + 8. Calculate the remainder when i(-1) is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 944 - 291. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 3  (b) 4  (c) -15.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = -8*n - 10*n - 15*n + 34*n. Let a(v) be the first derivative of -3*v**2 - 4*v - 1. Determine j(a(r)).\nAnswer: -6*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.107646 and 81.26?\nAnswer: 81.152354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 306 - 1c0?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence krk when three letters picked without replacement from {r: 7, k: 3}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-25)\/h*h\/h**(-3\/16) assuming h is positive.\nAnswer: h**(-397\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -31 + 56. Calculate the highest common factor of 225 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 648 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/(-1))\/((-3)\/((-24)\/16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 310*g + 24831. Give y(-80).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -2*s**3 - 4*s**2 - 2*s + 4. Let o be q(-3). Suppose -o = -z - 6*z. Let k = -931 + 930. Which is the nearest to k?  (a) 0  (b) 0.05  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13695023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 175 + -139 - (-7 - -6).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -1 - f + 2 + 3. Let d be g(6). Is 6 a factor of -1*(d + 11*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 5*h + 12 = 0. Let x be (h\/(-5))\/((-16)\/(-40)). Let u = 13 + -8. Solve x*a = a - u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 337 is divided by 324.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0 and 1373.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4656130, 4656124, 4656114, 4656100, 4656082, 4656060?\nAnswer: 4656034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*a + 23*a + 2*s - 31 = 0, 52 = 3*a - s. Let w(x) = -x**2 + 10*x - 32. What is w(a)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1633 smaller than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -108*x**5 - 2*x**2 - 21*x.\nAnswer: -6480*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 184 a factor of 384376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5176200 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 2*q + 28, -4*p + 0*p - 2*q = 28. Let j be 468\/p*(1 - 5). Suppose -j = -4*h - 34. What is the highest common divisor of 10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*q**4 + 8120*q**3 - 3288590*q**2 - 6601560*q - 3304845.\nAnswer: -5*(q - 813)**2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0725378 to four decimal places.\nAnswer: -0.0725","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:28 AM and 11:08 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -798\/11 - -71. Find the common denominator of d and 64\/3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of s**6\/120 + s**5\/15 + s**4\/24 - s**3\/3 + 7*s**2. Let h be p(-3). Suppose z + h*z = 5850. Round z to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 2, b: 2, m: 2, r: 1, x: 1, q: 1}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -637\/356 or -2?\nAnswer: -637\/356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.3 - -2.4. Let r = 2.6 - 0.6. Let g(u) = -u + 28. Let w be g(24). Which is the fourth smallest value?  (a) s  (b) r  (c) 1  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 736048.\nAnswer: 2, 179, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*b + 180 = -32 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -235 + 350. Suppose -4*k - t - 83 - 133 = 0, 0 = -3*t. Let b = k + o. What are the prime factors of b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 22 + 2. Let a be 32\/56*(7\/2 - 0). Suppose -a*o + v + 22 = o, -5*o = -5*v - 30. Calculate the highest common divisor of o and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 282487409?\nAnswer: 6269, 45061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9 + 5 - 9)*((-2 + 3 - 2)*(-4 + l**4 + 4) + 0*l**4 + 0*l**4 - 3*l**4) to the form t*l**4 + r + n*l + h*l**3 + p*l**2 and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 5*i**2 + 2688*i + 58179. Give p(-515).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*r + 24 = 4*x, -2*x = 3*r - 19. Suppose 6*s - 108 = x*s. What is the highest common divisor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 110011427.\nAnswer: 110011427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 153906900 rounded to the nearest 1000000?\nAnswer: 154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 + 2 - 2)*(0*r - 5*r + r) - 11*r - 17*r - 22*r)*(9*r**2 - r**2 - 4*r**2) as q + h*r + t*r**3 + c*r**2 and give t.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11536 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8053, -8096, -8241, -8542, -9053, -9828, -10921?\nAnswer: -12386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -808077, -808078, -808079, -808080, -808081?\nAnswer: -808082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 k when four letters picked without replacement from dkkkkkddkkydyk.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4122 or 4053?\nAnswer: 4122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = u - 4*m - 22 - 18, 2 = m. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01668 rounded to four decimal places?\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n*(n\/(n**4\/n))\/n)\/(n\/n**(-1\/4)))**(-8\/5) assuming n is positive.\nAnswer: n**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 8 - 12. Let r = 58 + 32. Calculate the smallest common multiple of b and 1 + 86\/12 + (-15)\/r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 53, 69, 87, 107, 129, 153, 179?\n\"Answer: c**2 + 13*c + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -2*z**2 - 16*z + 16. What is the smallest common multiple of b(-8) and 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 4 + 3)*(3*d - d - 12*d) + 2*d - 2 + 2)*(-d - d + 0 + 2)*(-2 - 2 + 5).\nAnswer: 196*d**2 - 196*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: ((-184)\/2576)\/((-18)\/21)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4*n + 375. Let d = -98 + -147. Let i = -220 - d. What is the highest common divisor of i and n?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/3*(-125)\/100\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -1, -5, -6, -3, 690, 8 in descending order.\nAnswer: 690, 8, -1, -3, -5, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q = -2*i + 9 - 23, -41*q + 5*i - 1105 = 64*q + 118*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 7:31 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 42*k**2 - 2278*k + 511. What is s(54)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -310.547263 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3632 is divided by 130?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 719378 is divided by 377.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -106 - 2. Calculate the smallest common multiple of d and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 125.2 + -114. What is x rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j - 4. Let f be r(7). Suppose -4*w = -5*g - 51, 4*w - w + f*g - 18 = 0. Calculate the smallest common multiple of 8 and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 280\/24*558\/(-465).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 6*h - 636 = 0. Let l = h + -165. Put 9, l, -1 in decreasing order.\nAnswer: 9, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is a4334 - -3d?\nAnswer: a4372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*k**5 - 5*k**5 + 3*k**5 - 2*k**5 - k**5 + 5*k**5 + (1 + 0 + 0)*(-2*k + k**5 + 2*k))*(1 - 8 - 1).\nAnswer: -8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*s - 17*s + 2*u - 4 = 0, 13 = 2*s - u. Solve -s*g - 2 = 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((6*j - 3*j - 2*j)*(-3*j - 3*j**4 + 3*j) + 1 + j**5 - 1)*(79 + 2 + 97).\nAnswer: -356*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/((-1344)\/(-28))*(-8)\/(-5).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 127\/2430 and -97\/26028.\nAnswer: 1171260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101 + -11001001?\nAnswer: -11001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -3*o + 14, 2*o = -3*o - m + 14. Let u(a) = a**3 - 5*a**2 + 4*a + 2. Let v be u(4). Suppose 0 = -v*t + t + o. Solve 7 = -d + t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 11*n**3 + 2*n**2 + 2*n + 1. Let h be d(-1). Let r = h + 14. Let f = 12 - r. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 34*l**2. Let b be z(1). Let h = b + -18. Calculate the highest common factor of h and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 2*o. Let f(q) = 15*q - 3431 + 3431. Give s(f(v)).\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*d - 2*d + 5*u + 30 = 0, 0 = 5*d - 4*u - 41. Suppose -110 = -d*s - 0*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 - 11*o - 6. Let n be z(-10). Suppose 8 + 0 = n*j. Factor 0*k + k**3 + 3*k + 2*k**j - 3*k**2 + 1 - 4*k.\nAnswer: (k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 43*p + 45*p**2 - 43*p + (p**2 - 4*p**2 + 4*p**2)*(-2 - 1 + 1) to y*p**2 + f*p + s and give y.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 3283.64 times 1\nAnswer: 3283.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and 0.723.\nAnswer: 2.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11011101001110010 + 1?\nAnswer: 11011101001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-2)\/4 - -1)\/(308\/168))\/((-1764)\/(-4312))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 12, -3 in ascending order.\nAnswer: -3, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 + g**2 + g. Let a(i) = 30*i**3 + 42*i**2 + 42*i. What is -6*a(x) + 252*o(x)?\nAnswer: 72*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 5, -4, -4\/7, -0.0757, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 342 and 14307?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-1\/4)*(k\/k**(-1\/6))\/k)**(1\/23) assuming k is positive.\nAnswer: k**(-1\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f = 254 - 230. Let w(l) be the third derivative of 0*l**3 + 0*l + 0 + 0*l**f - 5*l**2 - 1\/30*l**5. Let q(k) = -k. Determine w(q(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -i**6 + 8*i**3 + 19*i**2?\nAnswer: -120*i**3 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 8*a. Let u = 1 - 6. Let v = -6 - u. Give r(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10 is divided by (4 - 3)*-1*7*-1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8358 - 5111. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 814, 1661, 2528, 3415, 4322, 5249, 6196?\n\"Answer: 10*q**2 + 817*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -68, -2 in descending order.\nAnswer: 3, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -24*a**2 + 32*a + 1. Let c(f) = f**2 + 4*f - 1. Let y(u) = 5*c(u) - m(u). Is y(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 8*f - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 1 + 2)*(1 - 1 - f)*(-f**3 - 2*f**3 + f**3)*(-6 + 3 - 7) as x*f + i*f**4 + w*f**3 + d + u*f**2 and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*28\/(-3024)*-36.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-5)*(-30)\/42. Let h be (0 + 1)*(-8)\/(-52). What is the nearest to 1 in h, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10482 - -30493. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 80 and 3906455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*z = 10 + 29 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2*k - 17 = 0. Let a = k - 12. Suppose -5*q + 35 = w, 0 = -w - 0*w + a*q - 5. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 - 9*o**2 + 3*o + 28. Determine z(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -r - 3*a + 5, 2*a = -5*r + 16. Suppose -4*h + r = -6. Suppose 2*n - 2*q = 3*q + 7, -2*q = h*n - 14. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1076.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 32567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*m = 35*m - 342. Calculate the remainder when 73 is divided by m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2330*y**2 - 16*y\/9.\nAnswer: -2*y*(10485*y + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wywyyy. Give prob of picking 1 y and 2 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -75*y - 327. Let h be d(-4). Let l(f) = f**2 + 28*f + 30. What is l(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*n**2 + 43*n**3 + 5*n**4 - 43*n**3 wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 15) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 2, i: 4, z: 1, n: 1}. What is prob of picking 1 n, 1 z, and 2 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 768*p**3*w*y + 133*p**3*w - p**2*w*y + 5763*p*w - 45*w*y wrt p.\nAnswer: 4608*w*y + 798*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -94159, -94185, -94229, -94291, -94371, -94469, -94585?\n\"Answer: -9*b**2 + b - 94151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -258 and 4.\nAnswer: -1032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from {k: 2, w: 6, j: 1, b: 4, a: 3, d: 3}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = 1. Let z(j) = -28*j + 4. Let b(f) = -f**2 + 2. Let p be b(1). Let t(v) = p*z(v) + 8*q(v). Differentiate t(y) with respect to y.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1066288605?\nAnswer: 3, 5, 3191, 22277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 63 and 3087.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1170878 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 7374091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 minutes before 12:05 PM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - d = -78, -t - 150 = -3*t - 5*d. Suppose y + 4 = t. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ev when two letters picked without replacement from pyeyppv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -21754 - -522209\/24. What is the common denominator of t and (7672\/1680)\/(1\/(-5))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 5, e: 2, y: 9, u: 3}. Give prob of picking 3 s and 1 y.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.004 + 3.304. Let h = d + -3.305. Round h to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zzzvzvvvbzvvzzzzy. What is prob of picking 1 y and 1 b?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -79 + 119. Suppose -16*u = -8*u - k. Solve p - u = 2*y, -p + 5*y + 15 = 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l**3 + 86*l**2 - 127*l + 2009. What is i(28)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*z - 13*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 2307265880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*k = -4*k - 3*j, -j = -3. Let 2641 + 4*q**4 - 2641 + 4*q**2 - 8*q**k = 0. Calculate q.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -30, -46, -38, 6, 98?\nAnswer: 250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -16.38 + 14.82. Let i = 34 - 34.4. Which is the fourth biggest value?  (a) 0.3  (b) i  (c) n  (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 104 + -101. Suppose 3*p - p = 5*w + 50, -k*w = -6. Calculate the highest common factor of 690 and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 169 + 130*x - 66*x - 7*x**3 - 73*x - x**3 with respect to x.\nAnswer: -24*x**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -80 (base 10) to base 2.\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*a + 2*a - 80. Suppose 0*h + 2*h = a. Let m(l) = 59*l - 1. What is the remainder when m(1) is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*m - 20*m = 18*m. Let n(k) be the second derivative of 0*k**2 - 30*k + m*k**3 + 7\/40*k**5 + 0 + 1\/12*k**6 + 1\/12*k**4. Factor n(l).\nAnswer: l**2*(l + 1)*(5*l + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1504333464?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 358, 1101, 2638, 5371, 9702, 16033, 24766?\nAnswer: 36303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.2 and -0.696665?\nAnswer: -0.139333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 245881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100163273.\nAnswer: 7, 3527, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kdkd when four letters picked without replacement from {d: 6, k: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*j - 23*j + 7*j)*(4*j**4 + j**4 - 4*j**4) + 0*j**5 - 3*j**5 + j**5 - 3*j**5 + j - j - j**5 + 3*j**5 + 0*j**5 - 34*j**5 - 83 + 83.\nAnswer: -42*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 13*d + 4. Let w be u(0). Let h be -4 - 1*-2 - -6. Differentiate 20*y**4 + 10*y**h + 17 - 2*y**w with respect to y.\nAnswer: 112*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = o**2 - 10*o + 15. What is w(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 212928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 2 = -5*m - 26, -4*s - 3*m = -20. Let r(n) = -8*n**2 - 2 + n**3 + s - n - 4*n - n. What is the tens digit of r(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j = -3*j - 40. Is ((-30)\/j)\/(45\/(-120)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the second derivative of 5*p**7\/504 + p**4\/3 - 2*p. Let c(w) be the third derivative of h(w). Let k(q) = -2*q**2 + 156 - 156. Calculate k(c(j)).\nAnswer: -1250*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 - 2*u + 4*u**2 - 3 - 2*u**2. Let d be n(-2). Find v, given that -2\/5*v**3 - 2\/5*v**d + 0 + 0*v + 0*v**2 + 4\/5*v**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaqaaqqqaqqaqa. Give prob of sequence aqa.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.23 and 4233.74445.\nAnswer: 4233.97445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/10?  (a) -0.1  (b) 6  (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 4:34 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 27\/5 of a microgram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 168 and 11?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5448*y - y**2 - 1609*y + 1 - 2658*y - 4563*y.\nAnswer: -y**2 - 14278*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 925150 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 d(u) be the third derivative of -u**4\/24 + 11*u**2. Let l(s) = -6*s. What is l(d(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, -15, -5, 31, 0 in ascending order.\nAnswer: -15, -5, -1, 0, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 5*z**3 + 7*z**2 + 4*z + 7. Let j(v) = 4*v**3 + 7*v**2 + 3*v + 7. Let w(t) = 5*f(t) - 6*j(t). Let m be 2\/(-25) - (-9204)\/1300. Determine w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17862.4525 rounded to the nearest ten?\nAnswer: 17860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -179 - -828?\nAnswer: 68d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(513)*6 + sqrt(57) + 1*sqrt(57)*5))\/((sqrt(18)\/(sqrt(18)\/sqrt(3)) - 3*-2*sqrt(3))*-4).\nAnswer: -12*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 67776279 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q + 1675 - 2351 = 0. Calculate the greatest common divisor of q and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 412176 and 1798.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -16*o + 7. Let k(u) = u + 1. Let s(a) = -b(a) + 5*k(a). Let g be s(2). Suppose g = 3*x - 2. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 124397 or 0.2?\nAnswer: 124397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -35 - (-9 + -1 - (19 - (-84 + 95))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 409*y - 1516. Let s be i(4). Is s < 201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7321471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -25*l**2 - 758*l - 5068. Determine h(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 872202259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 2 + 2 - 1 - 3 + (3 - 1 - 3)*(0 + 2 + 0) + 0 - 5 + 2 + 1 - 3 + 4)*(l**2 + 0*l + 0*l).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 + 83 = 3*a - 4*x, a - 4*x = 30. Is 20*((-202)\/(-4) + a\/12) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(21)\/(sqrt(3) + sqrt(27)) + sqrt(112)*-1).\nAnswer: -75*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -3*q - 1. Let x be w(1). Let l be 6 + x + (0 - 0). Suppose -3*s = -10 - l. Solve -10 = v - 3*v + s*j, 5*j - 4 = -3*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.3 + 0.4. Let r(y) = -y**2 - 5*y + 4. Let u be r(-5). Suppose x = v + u - 2, -v + 18 = 3*x. What is the third smallest value in n, 2\/7, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5153630.\nAnswer: 2, 5, 151, 3413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 i when three letters picked without replacement from {i: 6, z: 6, w: 1, q: 3, j: 1}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -59\/3 + 647\/33. Let c(j) = -j**3 - 4*j**2 - 5*j - 3. Let b be c(-2). Is a at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -51\/70 and 10\/3787.\nAnswer: 37870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i = j + j + 20, -3*j = -i - 4 + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1, 101783, 37 in increasing order.\nAnswer: -1, 2, 37, 101783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 20*o**2. Let s(p) = -p + 10. Let w be s(-6). Let r(y) = y**2 - 7 - 9 + w. What is b(r(u))?\nAnswer: 20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131948605.\nAnswer: 5, 4999, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1665309081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 198 = 6*u + 3*u. Let l(x) = -u*x - 18*x + 42*x + 4. Calculate l(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -23 (base 15) to base 16.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.3*1.1.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -184227529*c**3 + 990*c**2 + 82313 wrt c?\nAnswer: -1105365174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 + 4*k - 16. Let a be q(-7). Suppose s + 0*g + g = -8, a*s = 3*g - 8. What is the common denominator of s\/(-18) - (-17)\/18 and -17\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3387 - 4533 - 1200 = 480*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (62 - 62 + 6*t)*(12 - 37 + 17)*(4*t**2 - 2*t**2 + 0*t**2) + 10*t**3 + 0*t**3 + 8*t**3 as j*t + a*t**2 + x*t**3 + u and give x.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -s**2 + 6*s - 6. Let y(n) = n**3 + 852*n**2 + 184932*n + 366332. Let o(r) = 6*m(r) - y(r). Suppose o(v) = 0. What is v?\nAnswer: -428, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-5610)\/(-880))\/((-187)\/396).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41944409 to the power of 1\/2, to the nearest integer?\nAnswer: 6476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3272 - -3270. Which is the nearest to -1\/2?  (a) 0.3  (b) o  (c) 1\/5  (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*h**2 + 5207*h - 10415*h + 5210*h.\nAnswer: 20*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -c + 30a72?\nAnswer: 30a63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2. Let l(r) = -3*r - 1. Let d(u) = 10*u + 14. Let c(q) = -d(q) - 3*l(q). Let w(v) = -40*v - 55. Let z(g) = 5*c(g) - w(g). Give n(z(o)).\nAnswer: -1225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 98663882.\nAnswer: 2, 23, 2144867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -p*y*z**2 + 2*p*y + 22*y*z**3 + 504*y + z**3 - 2 wrt z?\nAnswer: -2*p*y*z + 66*y*z**2 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13 - -16. Suppose -2*v = m*v + 2*z - 105, 0 = -v - 2*z + 13. What is the remainder when 90 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 10871030 - 14?\nAnswer: 10871016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -248*s**3 - 91*s?\nAnswer: -1488*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**19\/i*i\/((i\/((i*i**(-2))\/i*i*i))\/i) assuming i is positive.\nAnswer: i**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + s + 109 = 0, 5*i = 3*i - 2*s + 34. What is the remainder when 38 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**2 - 2*a. Let f(t) = -2*t**2 - 10*t. Let m(o) = -f(o) + 5*z(o). Let s(n) = 30*n. What is m(s(b))?\nAnswer: -2700*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 194, 232, 250, 236, 178, 64?\n\"Answer: -2*p**3 + 2*p**2 + 46*p + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 280 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 42 + -36. Solve -b - u = -4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1 + -0.1. Let a = -17.6948 - -13.6948. Sort 137, h, 2, a in increasing order.\nAnswer: a, h, 2, 137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a. Let h(q) = -5 + 8 + 441*q**2 - 399*q**2. What is h(m(j))?\nAnswer: 42*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0, 6, -3 in ascending order.\nAnswer: -3, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:01 PM and 10:31 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 1411*t**2 + 4278*t**2 - 1 + 29*t**3 - 1442*t**2 - 1425*t**2.\nAnswer: 29*t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 62, 70, 90, 128, 190, 282, 410?\n\"Answer: w**3 + w + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of c**6\/2 + 12*c**5\/5 + 3*c**4 - 36. What is w in m(w) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xxxqxxxxxxxxxxx. What is prob of picking 1 q and 2 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of -155*i**4\/4 + 2*i**3\/3 - i**2 - 6*i. Let n be v(2). What is the common denominator of -33\/16 and (n\/(-40))\/9 + 1?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*f - 85 = -215. Let u(m) = -7*m + 13 + 7*m**2 - m + f*m - 19*m. Let q(w) = 3*w**2 - 8*w + 6. Let n be 27\/2 + 1\/(-2). Give n*q(l) - 6*u(l).\nAnswer: -3*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2110870339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in h**3 - 9*h**3 - 4*h**3 + 8 - 8.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f**2 - 4. Let s be n(-2). Suppose s = x - 1 - 1. Suppose 2*i - 28 = -3*o, 3*o - 27 = -3*i + 12. Calculate the least common multiple of x and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 957?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4\/7 + -6\/35. Let c = 21214\/10955 + -68\/35. Let w = -608\/2817 + c. What is the third biggest value in w, 5, k?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2 + 20*z**2 - z - 17*z**2 - 2*z. Let g be l(-1). Let b = -11 - -6. Sort g, b, -3 in decreasing order.\nAnswer: g, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.2, -0.31, -30931?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -76 - -48. What is the remainder when 106 is divided by (-3)\/(0 + 3) - a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2816) + sqrt(2816) + (sqrt(2816) - sqrt(2816)*-3) + sqrt(2816))\/sqrt(2))\/(sqrt(128)*2).\nAnswer: 7*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -844*j**2 + 425*j**2 - 9 - 30 - 925*j**2 + 6 wrt j?\nAnswer: -2688*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3 - -1b7?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - a + 1. Let z(u) = -6 + 0*u - 8*u + 18*u**2 + 0*u - u. Let k(n) = 9*m(n) - z(n). What is the derivative of k(l) wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + 2. Suppose -b + r*b = 38. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 88958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes after 12:57 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -10*c**2 + 4*c - 4. Let g(b) = -b + 1. Give -4*g(q) - t(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 + 906*r - 4.\nAnswer: 906*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -117 by 7374136.\nAnswer: -117\/7374136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.09 + 0.19. Let r be ((-2)\/3)\/(2\/(-6)). Which is the biggest value?  (a) r  (b) w  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 550*s + 14. Let d be b(10). What is the second derivative of -o**2 + d*o - 4*o**2 - 5505*o wrt o?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the first derivative of 1\/3*x**3 + 2 - 2*x - 1\/2*x**2. Give g(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18256986 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1402120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -207*m + 184*m = 622*m + 3225 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*f - j - 210, -58*f + 53*f - 4*j = 225 for f.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -p**2\/5 - 223*p + 1116\/5 = 0.\nAnswer: -1116, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 minutes after 3:13 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.1 and 121?\nAnswer: -254.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (1 - 1 - 0)\/(-3 + 1). Let d be 8\/8 + 2 + (-13 - t). List the prime factors of (-1010)\/(-6) - (-1)\/(7 + d).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -2*q + 6. Let a = q - 0. Suppose -a*f - 25 + 72 = u, u = 2. What is the remainder when 58 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 0, 0.09, -335?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -881 - -881.098. Let h = f - -0.202. Sort h, -2\/9, -3, -34 in descending order.\nAnswer: h, -2\/9, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -243432321 + 1?\nAnswer: -243432320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 2 l when three letters picked without replacement from {l: 10, z: 4}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1485  (b) 4920  (c) -1  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 33 and 121?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/3*w**2 + 1\/6*w - 1\/6*w**3 + 1\/3.\nAnswer: -(w - 1)*(w + 1)*(w + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7 or 405\/53?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-16)\/48)\/(18\/756).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*c**2 - 2*c**4 + 7*c**4 - 4*c**4 - 25*c**3 + 34*c**2 + 3*c**2 to s*c**4 + h + w*c + z*c**2 + n*c**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 79, 3, 4 in ascending order.\nAnswer: 3, 4, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -364*g = -353*g + 77. Let z(l) = -2*l**3 - 14*l**2 - 3*l - 19. Let n be z(g). Factor 1\/6*h**3 - 2\/3*h**n - 1\/6*h + 0 + 2\/3*h**4.\nAnswer: h*(h - 1)*(h + 1)*(4*h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-18)\/27 + 173\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*i**(-2\/5)\/i)**(-10\/17)\/(((i**(1\/2)\/i)\/i)\/i)**(-18) assuming i is positive.\nAnswer: i**(-761\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 10 - 68\/10\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 649.1788 seconds in nanoseconds?\nAnswer: 649178800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27582 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34410 by -6.\nAnswer: 5735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 396995 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 40 and 21633.\nAnswer: 865320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -596, -2477, -5626, -10043, -15728, -22681, -30902?\nAnswer: -40391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 31004 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: Is 60328490143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.4 - -2.3. Let k = -4.1 - i. Let s = 6 - 2. Put s, k, 3 in decreasing order.\nAnswer: s, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1423 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*v - 29*v = 38*v + 1015 for v.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -3000*u**2 + 5482*u**2 - 2778*u**2 - 1 + 1 in the form l + v*u + y*u**2 and give y.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7 + -4 + (10 - 2 - 5) + -18 + -62.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + sqrt(7)) - sqrt(7) - (sqrt(7) - (sqrt(2744)\/sqrt(8) + sqrt(7))**2).\nAnswer: -7*sqrt(7) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 2:33 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-12)\/8)\/(69\/(-34592))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5106, 1\/4, 3, -4, 5 in decreasing order.\nAnswer: 5, 3, 1\/4, -4, -5106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 3*a - 2 = 21, 6 = i - 2*a. Suppose -216 = 5*h + 2*f, 4*h = -3*f + i*f - 165. What is the tens digit of h\/14 + (-74)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(13)*2*-1)**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d**5 + 6165*d**4 - 105594*d**3 + 162252*d**2 + 1318296*d + 1044288 = 0. Calculate d.\nAnswer: -2072, -2, -1, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 + 10*j**2 + 2*j + 5. Let x = -60 + 81. Suppose 0 = p + x - 16. What is the tens digit of o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2637133 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 624 = 2*q. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30863974159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -234, -1, 1, 2 in decreasing order.\nAnswer: 2, 1, -1, -234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 27*-7*(-16)\/336?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2042 - -2046. Let q(x) be the first derivative of 1\/2*x**6 - 3\/4*x**s + 2*x**3 - 6\/5*x**5 + 0*x**2 + 0*x - 12. Determine z, given that q(z) = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*v**2 + 2*v**2 + 5*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0, 5, 2.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 28.9 + -28.466. Round d to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2670759?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (7 - (9 - 3)) + (-1 - -39). Find the first derivative of -37 + 41*c**3 + 64*c**3 + q + 16*c**3 wrt c.\nAnswer: 363*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y**(-11\/4)*y*y)\/y*y)\/y)\/y)\/(((y\/y**13)\/y)\/y) assuming y is positive.\nAnswer: y**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -122 - -121. Let g be (s - -4) + 0\/(6 - 0). Solve 0 = -g*z + 16 - 13 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = u**2 + 2*u + 7. Let h be q(-6). Let n = -24 + h. Let d = -159 + 165. What is the remainder when n is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 12:51 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 14*o = -55 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*j**5 + 57185*j**4 - 109013640*j**3 + 69296175160*j**2 - 34293971840*j - 207725562480 = 0.\nAnswer: -3\/2, 2, 1906","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {g: 8, u: 5}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g + 8*g = 15*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from qlhaacxcahahhhhlaaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91 + (-161 - 95)\/64.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y + 229 = -86. Let p = 72 - y. Let c = p - 25. Solve 4*q + 6 = q - 3*k, -q = c*k + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -13724, -13703, -13676, -13643, -13604?\n\"Answer: 3*y**2 + 12*y - 13739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 8*x + 5 = 0, -4*u + 10 = 2*x. Solve -6 = 3*f + 3*m, -3*f + 3*m = -u*f - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes after 4:14 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + -78302?\nAnswer: -78307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -11*k**4 - 12*k**3 + 11*k**2 + 5*k + 7. Let t(s) = 4*s**4 + 4*s**3 - 4*s**2 - 2*s - 2. Let m(z) = 2*d(z) + 7*t(z). Factor m(x).\nAnswer: 2*x*(x - 1)*(x + 1)*(3*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 95 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 + 8. Let w be (3 + -2)*4*2. Let a be w\/32*(-16)\/(-10). Sort a, -0.1, i in descending order.\nAnswer: a, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 6  (b) 2  (c) -0.5  (d) 3  (e) -2\/3  (f) -179.81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -109*m - 52 - 363 = 784 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 121546 + 5?\nAnswer: 12154b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003709025 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 203023 - -11?\nAnswer: 203100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 9058*w - 5697512. Determine j(629).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 PM and 5:20 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (3 - 1)*(-3)\/(-3). Let l = -11 - -23. Suppose -4 = 2*t - l. Solve -t*g + 4 = -2*m, -g - 3 = m + o for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(100)*-3)\/(sqrt(605)*-1))**2.\nAnswer: 180\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 19593551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 272\/85 + 8\/10. Let q(r) = 5*r + 2. Let k(d) = 6*d + 1. Determine z*k(w) - 3*q(w).\nAnswer: 9*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that -3*o**5 + 669*o**4 + 9738*o**3 + 50712*o**2 + 113376*o + 91008 = 0.\nAnswer: -4, -2, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -9*t**2 - 1089*t + 64. What are the prime factors of x(-117)?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 39740 by -5.\nAnswer: -7948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 9711787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 25\/108 and -35\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -7.88, 0.1, 76?\nAnswer: -7.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*r + 41*r - 4*w - 20 = 0, r - 10 = 2*w for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.723 minus 26438.401335?\nAnswer: -26440.124335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -3*c**2 + 10*c + 11. Let r(x) = -4*x**2 + 15*x + 16. Let s(t) = -2*r(t) + 3*w(t). Let h(l) = 2. Determine -2*h(o) + 3*s(o).\nAnswer: -3*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (35 - 1491\/42)*7104\/(-2) and 666?\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f. Let g(k) = -1. Let h(z) = z - 1. Let x(c) = 15*c + 4*c - 6 + 7*c - 8*c. Let p(y) = -63*h(y) + 3*x(y). Let i(u) = 45*g(u) + p(u). Give t(i(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 10, 14095, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -2*a + 25. Let l(v) be the third derivative of 2\/135*v**a + 1\/180*v**6 - 2\/27*v**3 + 0 + 0*v - 1\/108*v**4 - v**2. Factor l(k).\nAnswer: 2*(k + 1)**2*(3*k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.2 and 424633.\nAnswer: 424633.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, -3, -1193.2, -11407 in decreasing order.\nAnswer: 3\/4, -3, -1193.2, -11407","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 590315 is divided by 51?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 13851 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100101100120 - 1021122?\nAnswer: 100100001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r - 13 = -v, 0 = 443*v - 445*v - 2*r + 2 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1169149 to the power of 1\/2, to the nearest integer?\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 0 - 1\/2*l**2 + 1\/4*l**3 + 0*l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -2) + (-151 - (47 + -155))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 628*q + 5. Let u(k) = 116493*k + 927. Give -927*a(v) + 5*u(v).\nAnswer: 309*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 284638 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 5*k**4 - 580*k**3 + 16800*k**2 + 2320*k - 67280 = 0.\nAnswer: -2, 2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 5*w - 79 = 0, -2*s + 23 = -5*w - 14. Is 27 a factor of 6\/s + 187\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13689 take away -0.03?\nAnswer: -13688.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.07 - 0.05. Let q = 4729 + -4726. Which is the closest to -1?  (a) m  (b) 0.4  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-153)\/(-255)*680\/1071.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -7\/8  (b) -49  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 137*o - 15. Let j be x(3). Let w be (-9)\/(441\/14) - j\/(-14). Calculate the highest common divisor of 35 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 14*b = -11*b - 3, 2*b = 3*i + 3. What is the greatest common divisor of 516 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = 2*r + 32. Let w(u) = u**3 + 9*u**2 + 2*u - 9. Let d(h) = 2*h**3 + 11*h**2 + 10*h - 9. What is the remainder when w(r) is divided by d(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 53 - 93. Is w greater than -39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -8*f + 31. Let j be y(4). Is (-2)\/((-20)\/1515)*(3 + j) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -22253 - -33205. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that v**3\/2 - 9*v**2 + 81*v\/2 = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-25)\/2)\/((-2)\/16). Let w = l - 53. Suppose w = 4*v - 285. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/3, 2.544, -0.029, 0.5 in increasing order.\nAnswer: -2\/3, -0.029, 0.5, 2.544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u**2\/9 + 68*u\/9 - 182\/3 = 0. Calculate u.\nAnswer: 13, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3808?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 984272190 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -3*y**2. Let g(n) = -6*n. What is h(g(f))?\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3)\/(-6)*2\/1. Suppose -4*x = -17 + i. Suppose 2 = a + x*o, 3*a - o = -0*a + 19. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -36 + 41. Suppose -2*w + u*w = 48. Suppose -m - 7*d + 2*d = -w, -d - 28 = -5*m. Is m greater than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126 is divided by 365\/(-146)*114\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 350*w + 16444. Determine p(-47).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -577*c**3 + 346*c**3 - 696*c**3 - 3*c**2 + 67*c**3 + 3*c**2.\nAnswer: -860*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 682087?\nAnswer: 7, 97441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 3*k + 4. Let s(o) = -13*o - 17. Let t = -5 - 4. Let x(i) = t*l(i) - 2*s(i). Let u be (2\/4)\/(3\/18). Give x(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 2, 81, -2, 3472 in descending order.\nAnswer: 3472, 81, 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 + 2*k + 29. What is the units digit of i(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 8\/(-44)*-23 + -4. Sort 0.1, m, 0.2 in ascending order.\nAnswer: 0.1, m, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9447833.\nAnswer: 53, 178261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 617, -2, 54758, -5 in decreasing order.\nAnswer: 54758, 617, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + 5*l**2 + l + 2. Let h be t(5). Solve 1 + h = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-39)\/65*1040\/24\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 18*i + 491 = 0, 2*o + i - 130 = 131 - 236 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-1) + 3\/((-3)\/2). Let d be (1 + 0)*2 - 2. Put d, 5, v in increasing order.\nAnswer: v, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minutes after 6:03 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/7  (b) -0.1  (c) 1  (d) -1\/2  (e) 3.8  (f) 2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 - 1) + (18 - 11) + -10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + 9, -2*g = 2*g + q - 537. Suppose g = 6*p + 87. Solve d - 11 = -p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-9)*(s\/s**(4\/7)*s)\/s)\/(s**6\/(s\/(s**(1\/13)*s)*s)) assuming s is positive.\nAnswer: s**(-1242\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 17029003 greater than 17029003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**2 + 12*y - 6. Let j(k) = -3*k**2 + 34*k - 17. Let h(l) = -6*j(l) + 17*v(l). Let u(b) = -b**2. What is h(u(i))?\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3859 + 3749 = -5*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e and 2 y when four letters picked without replacement from {d: 4, y: 1, l: 2, e: 9}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/20 and -143\/192.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of 0*b**2 - 1 + 0*b - 2\/9*b**3 + 2\/15*b**5 + 0*b**4. Determine q so that p(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 1\/3  (c) -0.9  (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 3\/7  (b) 0.2  (c) 256  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/(i\/((i*i\/(i**(1\/14)\/i))\/i)*i))\/i**15 assuming i is positive.\nAnswer: i**(-197\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (1 - 0)*(1 + 1). Suppose 2*j - 8 - f = 0. What is the remainder when 10 is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + 0. Suppose 0 = -3*t + 3*m - 6, -4*t + 0*m = h*m - 10. Let i be t\/(12\/4 + -2). What is the highest common factor of 4 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -t**2 - 25 - 70 - 40 + 44*t - 15. Is k(40) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the second derivative of d**3 - 7*d**2 + 10*d. Calculate the remainder when 16 is divided by x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 3, o: 1, w: 3}. Give prob of sequence wwo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**2 + 3*i**2 - 1 + i - 2*i. Let m(p) = 3*p**3 + 13*p**2 + 2*p - 7. Let t be m(-4). Let f(d) = -d**2 - d + 1. Determine t*y(w) - f(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -469.4701 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3\/5*o**2 - 2244\/5*o + 419628\/5.\nAnswer: 3*(o - 374)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((2\/16)\/((-1881)\/2736))\/((-13)\/(-572)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -202.47 + 222.47. Which is the second smallest value?  (a) -77  (b) j  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - 4\/(-18)*-6. Let l = 4 + -26. Let d = l + 24. Sort x, 0, d in ascending order.\nAnswer: x, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 155 + -80. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132 + 627 = -73*h + 29 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -121.8, 0.4, 0.28, 0.7, 4, -4?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes after 9:25 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -4*x**4\/9 - 20*x**3 - 832*x**2\/9 - 144*x - 640\/9 = 0?\nAnswer: -40, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of 2*z**5\/15 + z**4\/24 - 5*z**3\/6 - 3*z**2. Let h = -2 - -6. Is o(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**2 - 10*q + 14. Determine y(12).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b\/(b*b*b**1*b))\/b)\/b*b)**(23\/2))**(-12) assuming b is positive.\nAnswer: b**552","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from jyjjkyijikujyyjky. What is prob of sequence ikui?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1457345, -1457348, -1457351, -1457354?\nAnswer: -1457357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/((16\/(-24))\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3679004 or 91975102\/25?\nAnswer: 91975102\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2 - 3*l + 19*l**2 - 11*l**2 + 0*l - 7*l**2.\nAnswer: (l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - -5) + -7 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do -14.64 and -0.002 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*t = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -48 + 46. Let t(r) = -2*r**3 - 2*r**2 - 2*r - 2. What is the least common multiple of 12 and t(d)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37879?\nAnswer: 37879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 26 - 4 - 118*d**3 + 113*d**3 to w*d**2 + n*d**3 + z*d + r and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(40)*3 + (sqrt(20)\/sqrt(2)*-2 - sqrt(10)))\/((sqrt(162) + sqrt(162)*1)*2).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 441 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -26 (base 10) to base 3.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -65 + (-19 + -57 - -67)?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -52.38 and 119?\nAnswer: -6233.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) be the first derivative of -q**6\/24 - 4*q**5\/5 - 21*q**4\/4 - 83*q**3\/6 - 139*q**2\/8 - 21*q\/2 - 629. Factor s(n).\nAnswer: -(n + 1)**3*(n + 6)*(n + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 19793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*d + 32630 = 62*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 11.7?  (a) 0  (b) -0.4  (c) 0.6  (d) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**3*i**3 + 211*f**3*i**2 + 938*f**3 + 11259*f**2*i**3 - 7*f**2*i**2 wrt f.\nAnswer: 12*i**3 + 1266*i**2 + 5628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) be the third derivative of f**2 - 5\/24*f**4 + 0*f**3 - 5\/336*f**8 + 0*f**6 + 0 + 0*f**5 + 0*f**7 + 0*f. What is the second derivative of w(u) wrt u?\nAnswer: -100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 30922961 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**3 - 4*s**2 + 5*s - 4. Let r be n(3). Let x be (-3)\/((-57)\/r*1). Let u = -0.1 + 0.2. Which is the closest to -0.1?  (a) x  (b) u  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -204, -471, -736, -999, -1260, -1519?\n\"Answer: f**2 - 270*f + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -7*r**2. Let p(z) = 19*z - 684. Let o be p(36). Let f(c) be the second derivative of 13*c + 0*c**2 + 0 - 1\/6*c**4 + o*c**3. What is f(w(d))?\nAnswer: -98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 2*v**2 - 3*v - 31. Suppose -17 = -n - 11. What is the tens digit of k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 18\/(-19) - 15\/(-4085)*5977.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - a)*(5783*a**2 + 487*a**2 + 7515*a**2 - 1247*a**2).\nAnswer: -12538*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 4, k: 5, a: 1}. Give prob of sequence kkk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from xexnxxgxxexeeggxeex.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2797?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 0.3, -1, 0, -1\/41 in descending order.\nAnswer: 0.3, 0, -1\/41, -2\/17, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -105 + 112. Solve 6*t - a = 2*l + 3*t, 3*l = 4*t - 11 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -16*r**2 + 504*r + 21. Let y(h) = 3*h**2 - 92*h - 4. Let f(b) = -2*o(b) - 11*y(b). Suppose -2*c - 2 + 14 = 0. Determine f(c).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*v - 36 = 51*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-2\/31)\/(i**5\/i)*i\/((i*i**(-24))\/i)*i**(-2\/5) assuming i is positive.\nAnswer: i**(3183\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-69 - -61) + (2\/(-3))\/((-2)\/21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10, -292, -1104, -2710, -5374, -9360, -14932?\nAnswer: -22354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 95344694?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 84365321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.104 and 0.0445.\nAnswer: -0.004628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 163, 102, 41, -20, -81?\n\"Answer: -61*x + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 20 = 2*z, 4*z = 5*x - 0*x - 51. Is 8 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10*v**5 - 490*v**4 + 6*v**3 - 977220*v.\nAnswer: -200*v**3 - 5880*v**2 + 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -7*c - 3. What is the units digit of d(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(91)\/(sqrt(7)*1) + -1.\nAnswer: -1 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + 0. Let s be h\/7 + 13167\/49. Let y = s + -6. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 492 - 734 = -3*c, -3*u - 6*c = -189 for u.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**3 + 25634*y**2 + 164301120*y + 328499712.\nAnswer: (y + 2)*(y + 12816)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/9 + 592\/(-144)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-205)\/(-8118))\/5*-4.\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:01 AM and 9:52 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 10404791 less than or equal to 10404805?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*q**4 + 2*q**3 + 10516*q**2 + 73732*q.\nAnswer: 36*q**2 + 12*q + 21032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 + 76 = -2*s. Let o = 2536.97 - 2525. Let c = o + -12. What is the third biggest value in c, 1, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3031 is divided by 169.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*((2*sqrt(2299) - sqrt(2299)) + -5) + 3)**2 + -4)*6.\nAnswer: -1848*sqrt(19) + 55446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -936.\nAnswer: 2808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(308) + sqrt(308)*3 - sqrt(308))\/sqrt(11) + -2)**2.\nAnswer: -72*sqrt(7) + 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b1 + 3?\nAnswer: b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -39*m**2 - 4718*m + 117. What is p(-121)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 25542361500 to the nearest 1000000.\nAnswer: 25542000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the third derivative of -1\/300*u**5 + 1\/120*u**4 + 5*u**2 + 0*u + 0 + 0*u**3. Find p such that i(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -735.289653*-0.5\nAnswer: 367.6448265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g + 0 + 0 - 3*g - g + 3*g + (0*g + g + g)*(5 - 4 - 3) + 4*g - 4*g - g - 1421*g - 330*g - 593*g + 502*g - 4*g - g + g + 0*g - 2*g + 7*g.\nAnswer: -1849*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*o - 3*o - 15*o**3 + 23*o**3.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 2.26, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/((3 - 0)\/(-9)). Suppose -r*b = -2*o - 44, -3*b - 2*o + 0*o + 64 = 0. Let v = -103 - -138. Calculate the remainder when v is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes after 7:21 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 261 - 235. What is the derivative of -83 + 58*g - 27 + a - 78 + 26*g wrt g?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5171 in -3\/11, 2, 0.5?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/10)\/((-10)\/(-15)*(-63)\/280).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 7*y = 28. Suppose c + y = -2*b, 0 = -2*c - c + b + 14. Let z = c + 36. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/(50\/4))\/(1\/5). Suppose -n - 223 = -5*f + 2*n, -3*f = -o*n - 133. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -1474, -1035 in ascending order.\nAnswer: -1474, -1035, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 729355276?\nAnswer: 2, 13, 14026063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 22 - 18. What is the third derivative of 7*x**4 + x**2 - 7*x**4 + 2*x**2 + 2*x**q wrt x?\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -21734558 + 21734558 + 14378*h as y + k*h and give k.\nAnswer: 14378","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1342969 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28155.\nAnswer: 3, 5, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -2*q. Let p(i) = 19 + 19 + 8*i + 31 - 10*i - 16 + 4*i**2. Determine z(p(a)).\nAnswer: -8*a**2 + 4*a - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 31*j**3 + 327543*j**2 + 51*j**3 - 327542*j**2 - 2*j in the form u*j + x*j**3 + h*j**2 + k and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 25 + -25. Suppose o = -y - w - 8, 2*y + w - 31 = 4*y. Let t = -62\/11 - 151\/22. Which is smaller: t or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 436.0652 centimeters in meters?\nAnswer: 4.360652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -177d3 (base 15) to base 6\nAnswer: -1343543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 5.5886 to two dps.\nAnswer: 5.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**4\/23 + 10*y**3\/23 + 18*y**2\/23 + 14*y\/23 + 4\/23.\nAnswer: 2*(y + 1)**3*(y + 2)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2937920729 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by 2911.\nAnswer: -5\/2911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 642913.3l in millilitres?\nAnswer: 642913300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 7) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 746239 = -5*o, 5*d - 548331 = -4*o + 695392. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 1070100*x. Let s(v) = -24*v. Determine l(s(q)).\nAnswer: -25682400*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -772.4  (b) 8\/5  (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -22*j + 68 + 152. Solve -3*p - 4*g - 2 - 4 = 0, -5*p - g - j = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1312 (base 4) to base 16.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((sqrt(1900) + -1)*6*-1 - (-3 + sqrt(1900)*2 + sqrt(1900) - (5*(sqrt(1900) - sqrt(1900)*2) - sqrt(1900)))))**2.\nAnswer: -2100*sqrt(19) + 427549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(160)*4)\/((sqrt(5) - sqrt(80))*-2 + (sqrt(5)*2 + sqrt(5))*5).\nAnswer: 32*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 + 28 - p + 40398*p**2 + p.\nAnswer: 40398*p**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -4992420 divided by -332828?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0.09, -279, -0.4, 0.5 in descending order.\nAnswer: 5, 0.5, 0.09, -0.4, -279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-2\/29)\/x*x\/(x*(x*x*x**(-4))\/x))\/(x\/x**(1\/4)*x**(2\/7)\/x) assuming x is positive.\nAnswer: x**(1539\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.17*-35\nAnswer: -5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -o - 266 = -269 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -16 - -3. Let l(q) = 2*q + 26. Let u be l(r). Let x(y) = y + u*y - 5*y + 3*y. Let v(a) = 7*a. Determine v(x(z)).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1750 and 35560.\nAnswer: 889000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 - 6. Let u be ((-4)\/6)\/(4\/x). Let v(a) = u - 8*a + a - 1. Determine v(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/63 and -25\/79587?\nAnswer: 557109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 721.8586 rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 15 - -50626?\nAnswer: 50643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1172543960 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**2. Let d(o) = -360*o + 952*o**2 + 123*o + 119*o + 118*o. Calculate r(d(x)).\nAnswer: 906304*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 20*q + 1203 - q**2 - 1203 + (q + 2 - 2)*(2*q + 2*q - 2*q).\nAnswer: q**2 + 20*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*-1*sqrt(228))\/sqrt(12) - (sqrt(19) + (sqrt(57)*-1)\/sqrt(3) - (sqrt(304) + 1)).\nAnswer: 1 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2*((2 + sqrt(612))**2 + sqrt(612))*-4 + (2 + sqrt(17) + 1 + (sqrt(153)*-1)**2)*6).\nAnswer: -19960 - 1170*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -237c - 1b?\nAnswer: -2398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5663.4662 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((5*(2 + sqrt(7) + -3*sqrt(7)*-2) - (6*(-1 + sqrt(7)) - 2*sqrt(700))) + 0))**2.\nAnswer: 6272*sqrt(7) + 68252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + 2*z + 5. Let t be c(-8). Let m = 1026 - t. Round m to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 116*a**2*g + 4837*a**2 + 84*g - 2 with respect to g.\nAnswer: 116*a**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1001110101011010 (base 2) to base 4.\nAnswer: 21311122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - 0 - (10 + (11 - (-3 - 17) - -7))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -116, -250, -382, -512, -640?\n\"Answer: p**2 - 137*p + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes after 1:08 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes after 1:10 AM?\nAnswer: 3:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - 376 = 3*p, -5*q = 9*p - 12*p - 1916. What is the greatest common factor of 55 and q?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ioooiiiooooooooooi. What is prob of picking 2 i and 1 o?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**3 - 35*j**2 + 183*j - 73. Calculate q(6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((v**3 - 4*v**3 + v**3)*(v - 1 + 1) - v**4 - 2*v**4 - 2*v**4)*(3 + 2 - 1)*(0 - 2*v + 0).\nAnswer: 56*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/(j*j\/j**(-1\/3)*j))**(3\/13) assuming j is positive.\nAnswer: j**(-7\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 1. Let x(d) = 6*d**3 - 16*d**2 - 15*d - 27. Let y(p) = 5*s(p) - x(p). Let a be y(17). Let k be (-10)\/6 - (-4)\/a. Which is smaller: k or -14\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p**3 + 4*p**2 - 5*p + 3. Let v be x(-5). Let i(b) = -3*b - 14. Let g(w) = w + 7. Let c(d) = -5*g(d) - 2*i(d). Determine c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7712258.33 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10*h**3 - 7*h**2 - h + 449 wrt h?\nAnswer: -60*h - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.21645365 to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1034467?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**2\/7 - 352*z\/7 + 50 = 0. What is z?\nAnswer: 1, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 97462964 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 8, 27, 66, 131, 228?\n\"Answer: l**3 + 4*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -17\/62?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*t = 4 - 11. Sort t, 1\/5, -15 in decreasing order.\nAnswer: t, 1\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 22 and 184738.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 51236267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/(-330)*2*-6. Let z = 3.5 - 0.5. Let j = z - 3.1. What is the closest to j in y, 0.3, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(7\/(-35))*-3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 4*q - 34. Let f be y(10). Solve f + 14 = 5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, x: 1, s: 1, u: 1, y: 4}. What is prob of sequence bbsb?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*s - 11 - 9 - 12 = 2*y, 2*y + 27*s + 156 = 0 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -y. Suppose -3*s + 4 = -2. Let z(k) = -k - s*k + 2*k - 5*k. Determine z(t(j)).\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 188 = 24*b + 23*b. Solve 5*p - 10 = b*s - 29, -5*p = 2*s + 13 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -74492630878 - -74492629361.99999327. Let h = -1516 - c. Round h to seven decimal places.\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 343237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 78 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1270, 2, -7.\nAnswer: -1270, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33706*v + 34030*v - 972 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - u - 105, q = 6*q - 4*u - 145. Suppose 96 - q = h. Calculate the remainder when h is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 12, p: 6}.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -65.51 + 65. Let n = 0.11 + z. Sort -5, 1\/4, n in ascending order.\nAnswer: -5, n, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*x)*(-6*x - 6*x**2 + 141*x**2 + 6*x).\nAnswer: 270*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 25391975933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -9, 3, -15, -7, -12, -172 in descending order.\nAnswer: 3, -4, -7, -9, -12, -15, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the second derivative of 7\/2*k**2 + 1\/6*k**3 + 2*k + 0. Calculate n(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 1205 = -12*d + 10*d, 0 = 5*j + d - 1205. What are the prime factors of j?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - d - 5 = -2*p, 3 = -3*p + 3*d. Calculate the remainder when (-1)\/((8\/p)\/(-116)) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2055 and 18937236.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 23*q**2 - 5*q - 4. Does 7 divide i(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -1\/2*h**2 + 0 + 1\/6*h**3 - 1\/48*h**4 + h. Factor q(j).\nAnswer: -(j - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2455 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.33 - -0.07. Let f = -0.9 - -0.6. Let x = f + s. Which is smaller: x or 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 + 9. Suppose -2*m - q = -4*l + 4, 0 = 5*m. Suppose -5*z + 215 = -l*i, 3*i = 5*z - 220 + 10. Solve 0 = 2*o + a + 4 + 11, -z = 4*o + 5*a for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 10, 5*z = -3*u + z + 116. Let f = 8 - u. Let h(t) = 3*t**2 + 33*t - 60. Let x be h(-12). Is f != x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 755*v + 2. Is y(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -5*q + 23. Let j be l(5). Let z(v) = -7*v**3 - 9*v - 9. Let p(x) = -2*x**3 - 2*x - 2. Determine j*z(b) + 9*p(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 12:24 AM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 300 and 21.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*p**2 - 26*p**2 - 36*p**2.\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -53759 equal to -53760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2 + -0.3. Let r = 1 + -9. Let o be (-1*2)\/r*-1. Which is bigger: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 AM and 4:19 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6945?\nAnswer: 3, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 2 + 0 + (sqrt(243) + 0 + 0 - sqrt(243)) + (sqrt(147)*-1 - (sqrt(3) + 2 + sqrt(3)*1))*2)**2.\nAnswer: 216*sqrt(3) + 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 490697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 AM and 5:16 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1)\/(1 - 6\/4). Suppose 5*j = -26*j + 93. Suppose j*q = x*q. Solve q = 2*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -6*t**2. Let v(h) = -5*h + 6. Suppose -3*j = -2*j + 17. Let q(s) = 14*s - 17. Let r(w) = j*v(w) - 6*q(w). What is r(o(l))?\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 285715740*d**2*w - 3011*d*w - 7*d - 105*w - 8 wrt d.\nAnswer: 571431480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -5406\nAnswer: 1\/5406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19983.\nAnswer: 3, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 = 2*y - 5*w, -4*y - y + 4*w + 80 = 0. Let u(k) = 5*k - 4. Let z be u(7). Suppose 2*h - h = z. Calculate the remainder when h is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2\/215423433?\nAnswer: 2\/215423433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*r**2\/4 - 669*r\/2 + 29187\/4.\nAnswer: 3*(r - 423)*(r - 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Suppose 33*g = 5*v + 36*g + 17546, 4*v = 5*g - 14022. Is -3508 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t. Let l(z) be the third derivative of -17\/60*z**5 + 0*z**3 + 0*z**4 - 19*z**2 + 0 + 0*z. Determine x(l(b)).\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (16\/56)\/((-4)\/(-42)). Solve -12 = 2*f - k*j - 14, 2*f + 5*j = 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -854*i + 876*i = 4909322. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 3*z = -2*z - 15, -2*o - 36 = -10*z. Let g(h) = h + 3. Let k(s) = -2*s - 6. Let r(y) = 13*g(y) + 6*k(y). Determine r(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 4 - 21*j**2 + 0*j**3 + 4*j + 16*j**2. Let z be v(5). Let c = z + -21. Solve -4*y = 5*u + y, -5*u - c*y = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 13*i - 22. Let f be j(6). Suppose -4*h = 4*n - 26 - 22, 5*n + 3*h - f = 0. What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = 4*i**3 - i**2 - i. Let u be r(-1). Let k be 3 - (18\/(-22) - u). Sort 0, 1, k in decreasing order.\nAnswer: 1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 (base 3) in base 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 14. Let v = 7.5 - p. Let h = 4.3833 - 2.3833. Which is the closest to -0.05?  (a) h  (b) 0.1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2046?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18 - -1) + -9 + (-9 - -10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -11 - 54*t - 8 + 16 as h + y*t and give y.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 122830.3 millilitres?\nAnswer: 122.8303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/25 of a hour in seconds?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14800 and 837680?\nAnswer: 4188400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1672978 - 2*d**2 - 1672978 + 5*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rwrrwgrgrgrrrrgrrrrg. What is prob of picking 2 g?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5\/2)\/(-1)*-2. Suppose 0 = 2*k - u*y - 37, -4*y + 13 = 3*k - 3*y. Suppose -k*f + 40 = -f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103 + 37 - 248 = -18*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - 588 = -3*r, 392 = 2*r - y + 4*y. Let z = r - 193. Suppose -2\/5*d + 0 + 2\/5*d**z + 3\/5*d**2 = 0. What is d?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 111*8\/(-3180)*-5. Let m = l + -12443\/371. Let n = m + 32. Is 2\/9 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 10*j**4 - 6*j**3*z - 4*j + 669*z wrt j.\nAnswer: 40*j**3 - 18*j**2*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 546145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 109697*t**2 - 221179*t**2 + 109323*t**2.\nAnswer: -2159*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 28*x + 0*x = 0. Let o(k) = 47*k. Let w be o(x). Factor -6\/7*y**4 + 0*y**2 - 3\/7*y**3 + w*y - 3\/7*y**5 + 0.\nAnswer: -3*y**3*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from etxhyhu. What is prob of picking 2 h and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 77817 + -77791. Let z = 2 - 5. Let b = -0.3 - -0.7. Put z, n, b in decreasing order.\nAnswer: n, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 2*g - 3. Let r(z) = 49*z - 63. Let j(a) = -a**2 + 4*a + 33. Let k be j(8). Let l(v) = k*r(v) - 21*c(v). Let s(q) = 11*q**2. Determine s(l(i)).\nAnswer: 539*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**4 - 343212*a**3 + 19558752*a**2 - 371588852*a + 2353309182 = 0. What is a?\nAnswer: 19, 171549","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -1 - 9 - 801\/(-89). Let y = -2228 + 184922\/83. Is n <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7977043 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 34377 * -0.15\nAnswer: -5156.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 269149000 rounded to the nearest one million?\nAnswer: 269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7581194.\nAnswer: 2, 47, 80651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((z**(2\/3)*z)\/z)\/(z\/(z\/(z*z*z**(2\/43)*z*z))))**(-1\/25)\/(((z*z**6*z)\/((z*z\/((z\/z**1)\/z))\/z))\/(z**(-2\/7)\/z)**39) assuming z is positive.\nAnswer: z**(-1264373\/22575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2759 - -2745. Let y be 0 - (-2 + 34)*-2. Suppose 3*n - 22 + y = 0. Is f at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 66221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 166.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = x**3 + 4*x**2 + 2*x + 1. Let w be p(-3). Let k = 203 + -103. Suppose -s + k = 4*s. Solve -2*z + 2*n = -12, 3*n = 2*z + w - s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/88 and -21*200\/(-2112) + -1?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1323\/2 - 660. Let s(t) be the first derivative of u*t**2 + 0*t - 4 + 0*t**5 + 0*t**3 + 0*t**4 + 3\/2*t**6. Find the second derivative of s(a) wrt a.\nAnswer: 180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31854 is divided by 12690?\nAnswer: 6474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1442 - -462645?\nAnswer: 464307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(12\/10))\/(((-314215)\/(-132))\/197)\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -143?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.142 + -0.142. What is the nearest to q in 12, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4008*u = 4020*u + 36 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = -2*k + 10, f - 4*k + 20 = -0*f. Solve -j + 6*j + 10 = f for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 7)*(-2*d**3 + 4*d**5 + 2*d**3) + 30*d + 7*d**5 - 30*d.\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the second derivative of -2*d**6\/75 + 174*d**5\/5 - 84388*d**4\/5 + 49778516*d**3\/15 - 144825414*d**2\/5 - 1027*d + 2. What is s in z(s) = 0?\nAnswer: 3, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 89*a + 30 - 281*a + 94*a + 95*a - 39*a**2.\nAnswer: -39*a**2 - 3*a + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:02 AM and 2:05 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5381*z = 5375*z + 18 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 + -23.4. Let h = -0.4 - y. Which is the smallest value?  (a) 3\/2  (b) h  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 + 1. Let q = 9 - o. Let x be (-1)\/(q\/4 + -2). Which is the second biggest value?  (a) x  (b) -1  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 + -13062?\nAnswer: -13062.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 140 + -81. Suppose -56*s = -p*s + 135. Round s to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 94*u + 663 - 46*u - 46*u.\nAnswer: 2*u + 663","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m**3 + 2*m**2 - 2133*m - 3. Let t(l) = -l**2 + 1. Calculate -2*t(q) - u(q).\nAnswer: q**3 + 2133*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 + 22. Suppose 8 - 14 = -r*l. Suppose -3*n - l*n + 36 = 0. What is the remainder when 16 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3 - 147*j**2 + 636*j.\nAnswer: -3*j*(j - 4)*(j + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.525 - 1.31. Let h = 0.1866 - s. Round h to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 2*v + 1. Let i be x(3). Is 3 + 10*(3 + i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/22303 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2005881?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 214?  (a) -5  (b) 0  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 6*d**2 + 2*d - 8. Let r be q(6). What is the remainder when (-1 - 1) + (r - -111 - -5) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000689 rounded to seven dps?\nAnswer: 0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 217 or 215?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - 3) + -4 + 1. Let c = 11 - x. Suppose -4*y + l + 37 = -c, l = -4*y + 44. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 + 5*p**2 + p + 1. Let v be s(5). Let a = 111 + -111. Suppose 78*x - 76*x = a. Solve -v = 2*n - x*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-8) + 1\/4. Let i(b) = 2*b + 9. Let c be i(11). Suppose 2*z = r, -z + 13 = 2*n - c. What is the smallest common multiple of n and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m**(-9)*m*m*m**(1\/19)*m**(1\/35)*m**22 assuming m is positive.\nAnswer: m**(10029\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*o + 10*o - 3*o**3 - 4*o.\nAnswer: -3*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l + 1. Let h be (-9)\/(-12) - (-13)\/4. Let c = -2 - h. What is k(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-149*d + 149*d + 17*d**2)*(-3*d + 3*d + d)*(-1 + 2 + 0)*(-55 + 54 + 133).\nAnswer: 2244*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3\/170 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 850 divided by -34.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 36520 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -245, -1957, -6517, -15323, -29773, -51265, -81197?\nAnswer: -120967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - v - 5 + 2)*(-405 + 167 - 210 - 313).\nAnswer: 761*v + 2283","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:10 AM and 3:19 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.594 * -47.92.\nAnswer: -220.14448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 5*s + 66 = 2*s, 5*s + 60 = -3*z. Let f = -1107 + 1110. Put f, z, -8 in increasing order.\nAnswer: z, -8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 341443?\nAnswer: -1\/341443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u - 16. Let b be a(11). Let h(f) = 9 + 6*f**2 + 36*f + f**3 - 28*f - 6. Give h(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*c + 228 - 222 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wgfn when four letters picked without replacement from {a: 2, o: 2, f: 1, w: 1, n: 6, g: 3}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**2 - 19*m - 1. Let s(r) = -350*r**2 - 81*r - 4538. Let c(b) = -4*a(b) + s(b). Differentiate c(z) with respect to z.\nAnswer: -708*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -6*l + 41. Let w(b) = -12*b + 84. Let k(d) = -13*p(d) + 6*w(d). What are the prime factors of k(10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) be the third derivative of -x**5\/12 - 1165*x**4\/12 - 271445*x**3\/6 - 3*x**2 - 44*x. Determine z so that g(z) = 0.\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2006 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 14) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 97*t**2 + 9*t - 35. Let g(s) = -24*s**2 - 2*s + 9. Let d(n) = 9*g(n) + 2*h(n). Find the first derivative of d(v) wrt v.\nAnswer: -44*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(273)\/(sqrt(7) - sqrt(14)\/sqrt(32)))\/(sqrt(36)\/(2*sqrt(12)) + 1*sqrt(75))*-1*4.\nAnswer: -32*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8\/277 - -25877\/34348. Calculate the common denominator of f and -33\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 + 2\/8*0. Let y(o) = 3*o**2 - 6*o - 7. Let w be y(q). Solve -b - 4*c - 19 = 2*b, b + w = -4*c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6784, 13704, 20628, 27556, 34488, 41424?\nAnswer: 48364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 194960, 194679, 194216, 193577, 192768, 191795?\nAnswer: 190664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 9*f**2 - 361. Let v(b) = b**2 - 6. Calculate 5*v(m) - y(m).\nAnswer: -4*m**2 + 331","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16*f*i**3*n**2 - 64*f*i**2*n**2 - 29*f*i*n**2 + 159*f*i - i**3 - 2*i*n**2 wrt i.\nAnswer: 96*f*i*n**2 - 128*f*n**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the first derivative of -o**4\/4 - 4*o**3\/3 + 5*o**2\/2 - 3*o - 586. Let c(b) = -b + 1. Let h be c(6). Give w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1323 - -441. Which is bigger: -881 or i?\nAnswer: -881","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (51\/306)\/((-2*2)\/40)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5\/2, -5\/3, -2\/17, -1830\/7 in descending order.\nAnswer: 5\/2, -2\/17, -5\/3, -1830\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -370 = 37*t - 17427. List the prime factors of t.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 13275883 + -2?\nAnswer: 13275881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10906 - -108937\/10. Find the common denominator of j and -39\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -29 + 30.5. Round w to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 145, 139, 121, 85, 25, -65?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:48 AM and 2:26 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 3*l + 0)*(12*l + 3 - 3)*(-4*l**2 + 2*l**2 - 5*l**2).\nAnswer: 252*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 - -18904?\nAnswer: 18904.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*d**2 + 7*d**2 - 177*d**2 + 4 - 4 - 3*d**2 + (2*d - d + d)*((-2 + 2 + 2)*(4 - 4 - d) + 0*d - d - d + 0*d - 2*d + 0*d).\nAnswer: -187*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.2 - -0.1. Let a = 1.6 + -1.6. Let j = a - b. Is -2 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = i**2 - 2*i + 8. Let s(q) = -q**2 + 3*q - 7. Suppose -l - 3 = 0, -4*d - 2 = l - 7. Let x(k) = d*u(k) + 3*s(k). What is x(5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 440 - 181. Let n = -96 + f. List the prime factors of n.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88596945 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 1, x: 5, p: 3, w: 1, i: 3}. What is prob of picking 2 p and 1 u?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15 - 17 - 5)*(136*d**4 - 241*d**4 + 244*d**4) to the form u*d**3 + g + h*d + a*d**4 + n*d**2 and give a.\nAnswer: -5143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -18*r**4 + 18*r**4 + 3*r**5 + (-4*r - 2*r + 3*r - 3*r - 2*r + 6*r + (1 + r - 1)*(0 + 0 + 2) - 3 + 3 + r + 70*r + 103*r - 111*r)*(-r**4 - r + r).\nAnswer: -60*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 3326*k + 72352 - 1250*k - 72352 as d + g*k and give g.\nAnswer: 2076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/2*(-13)\/26*(1 - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (2\/4)\/(1\/(-12)). Find the common denominator of -67\/20 and (226\/(-30))\/(8\/l).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110 + -1110101001?\nAnswer: -1110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1508 and 15196.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = j**4 - j**3 + j**2 + 1. Let p(c) = 4*c**4 - 5*c**3 + 28*c**2 + 5. Let f(b) = -p(b) + 5*z(b). Find the third derivative of f(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of d**3\/3 - 5*d. Let v(i) = 2*i**2. What is v(t(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**2 - 8. Let r(s) = -s - 1. Let n(k) = 5*k + 6. Let f(q) = n(q) + 6*r(q). Calculate f(m(a)).\nAnswer: a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1417?\nAnswer: 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -i**4\/4 - 41*i**3 + 1395*i**2\/4 + 1639*i\/2 + 430 = 0.\nAnswer: -172, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 10\/(-6)*68\/(-170). Let j(a) be the first derivative of -4\/3*a + 6 + 1\/3*a**3 + z*a**2 - 1\/15*a**5 - 1\/6*a**4. Suppose j(y) = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -0*s - 48. Suppose -2*f - 4*x = -s, -14 = 3*f - f - 2*x. Let y be 3 - 0\/(-4 + 8). What is the closest to f in y, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of -19*l**2\/2 - 11*l + 1. Is g(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9\/13, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 less than or equal to 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 2 = 92. Let r be (0 - 10)*(-6)\/m*-2. Solve v - r*z - z = 13, 3*z = -9 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*y**3 - 2*y**3 + y**3 + (-4 + 1 + 2)*(2*y**3 + 2 - 2) + 156*y**3 + 284*y**3 + 348*y**3)*(0*y - y + 2*y).\nAnswer: 785*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 445613267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/(-15)*(-205)\/3. Let v = s - -167\/12. Is v less than or equal to 1.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.1673477 to two dps.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010110000111 + 10001?\nAnswer: -1010101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 48142?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 6, o: 6}. What is prob of picking 2 q and 2 o?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -228751\/2 + 114382. Suppose 1\/2*k**4 + 5 - 5\/2*k**3 - 3\/2*k**2 + v*k = 0. Calculate k.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 3) to base 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 99508976 to the nearest integer?\nAnswer: 9975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 6*m**2 - 2*m - 6. Let q be w(5). Suppose -6*p - 6 = -q*p. Suppose -111 = -p*v - v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/17 + 10\/(-595)*-7?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g - 1. Let k be w(-4). Let d be ((-21)\/2)\/(3\/(-8)). Suppose -4*u + d = -2*u. Solve f + u = -5*s, 5*f + k = -2*s + 6*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(3*sqrt(1900)*-4 + ((1*sqrt(228) - sqrt(228))*-2 - sqrt(228))\/sqrt(12)))**2.\nAnswer: 4450864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.01 - -0.41. Put r, -5, 2\/3 in decreasing order.\nAnswer: 2\/3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is b638 - -12459?\nAnswer: 21a95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.59022 to 3 dps.\nAnswer: 2.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -29 divided by -1638811?\nAnswer: 29\/1638811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 774 divide 498945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6 + -3. Suppose j - l = -13. Let r be (-2)\/6 - j\/3. Solve 3*n = -r*c + 6, -2*c + n + 13 = -0*n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-13409)\/171879)\/((-44)\/(-8))\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = t**3 + 5*t**2 + 5*t + 1. Let v be k(-4). Let r(y) be the first derivative of -y**4\/4 - 5*y**3\/3 - 7*y**2\/2 - y - 4. What is the units digit of r(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -260, -1009, -2264, -4031, -6316?\n\"Answer: -i**3 - 247*i**2 - i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -289654591 bigger than -289654594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4725434466 divided by 3.\nAnswer: 1575144822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10141 - -10142. Which is the closest to x?  (a) -1  (b) -5  (c) -0.3  (d) 2\/37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((31\/62)\/(2\/(-7)))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 + 3*z**2 - 3*z. Let y(n) = 2*n**3 - 4*n**2 + 4*n. Suppose 135*f - 26 = 61*f + 196. Determine f*y(k) + 4*s(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7.839 - 0.161. Let v = -65 - -135\/2. Is v smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l + 2*l + 25 = 5*o, 2*l = o - 9. Let a(k) = -6 - o + 7 + 2 + 6*k. Is a(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 10 and -12*(3 + 26\/(-6))?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*u - 12579 = -u. List the prime factors of u.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 90763684 is divided by 4764?\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the second derivative of -o**6\/10 + 3*o**5\/4 - 3*o**4\/4 - 5*o**3\/2 + 6*o**2 - 24*o. Factor r(n).\nAnswer: -3*(n - 4)*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 7\/4, -21, 93?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2. Let t(d) = -3968*d. Give t(r(k)).\nAnswer: 3968*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 99 - 79. What is the remainder when 274 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3880568267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14*c + 62 + 9*c + c + 5*c)*(3 + c**2 - 3).\nAnswer: c**3 + 62*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 35*z - 98*z - 10*z - 51*z - z**3 - 10*z**3 wrt z.\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31, 48, -13, -224, -657?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 48863 is divided by 1755.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1146 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -11*m**2 - 3. Let f(d) = -79*d + 5. Calculate b(f(h)).\nAnswer: -68651*h**2 + 8690*h - 278","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*y + 1717739 = 745*y - 12725411. What is the thousands digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -3*w - 4. Let x(q) = -8*q - 12. Let h(k) = -11*v(k) + 4*x(k). Let u be h(2). Let s be 2\/(-2)*(-2)\/(-5). Do u and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 32589 - 20842. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the first derivative of 15*h**4\/8 - 41*h**3 + 321*h**2\/4 - 45*h + 3335. Factor k(a).\nAnswer: 3*(a - 15)*(a - 1)*(5*a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2647\/290 - -4\/145. What is the common denominator of 123\/10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p + p + 4*u = 28, -u = -2*p + 26. Let y be 4\/5 - 40\/50. Suppose y = -5*t - r + 22, 2*t = r - 3*r + p. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1101001110111100000000 + -100?\nAnswer: 1101001110111011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from bmf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 3\/(-1)*(2 - 4\/1). Solve b = -0*h - 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11457.\nAnswer: 3, 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 159569 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2 - (-2 - (0 - 0)). Suppose -2160 + 3656 = 11*c. Calculate the greatest common factor of c and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -5*g - 2. Determine v(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/547220160 and 155\/33132.\nAnswer: 6019421760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 9*u**2 + u**2 + 7*u**2 + u**4 + 2*u**3 + u + 2*u**4 in the form r + t*u**4 + n*u + o*u**3 + a*u**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26 + -53. Let y = c + 40. Solve y = 5*w + 2*d - 0*d, 3*d = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**5 + x**5 - x**5)*((1 + 4 - 2)*(3 + 0 - 1) - 4 + 2 - 1 + (-1 - 3 + 2)*(-2 - 3 + 3)).\nAnswer: -7*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 668495888 to the nearest integer?\nAnswer: 25855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 56*a**2 + 3*a + 1. Let i(o) = 51*o**2 + 2*o + 3. Give -3*i(l) + 2*v(l).\nAnswer: -41*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 3*sqrt(1900) + (sqrt(1900) - (sqrt(1900) + sqrt(1900) + 1*sqrt(1900))*3)**2.\nAnswer: 30*sqrt(19) + 121597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/12*6000\/1050.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -0.02, 0.057, 6, 1\/7, 0?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - s - 4*s - 7 = 0, 2*h - 5*s = 19. Let l = -8 - -8. Put -4, h, l in descending order.\nAnswer: h, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5, -19, -41, -71?\n\"Answer: -4*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0 - -1. Let r = 0.6 - 0.35. Let x = -0.05 - r. What is the second biggest value in x, t, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.17 and 81957179.31?\nAnswer: 81957179.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -13, 2, -2\/11, -0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-1 - (-6)\/4)\/(93\/558). Find u such that 8 + 64*u**4 + 2*u**2 + x + 24*u**3 - 24*u - 74*u**4 - 3 = 0.\nAnswer: -1, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 15\/6*(-1 - 0). What is the third biggest value in 1, i, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1964104483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37, 77, 137, 223, 341?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 274167 = 207*k - 942372. Does 74 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -2 + 20 + 45\/(-15). Solve -11*v = -m*v + 20 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = 27*a + 186. Let d(r) = -155*r - 928. Give -11*c(q) - 2*d(q).\nAnswer: 13*q - 190","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z**3\/z))\/(z\/((z**3*z)\/z))*(z**1*z*z)\/z**(-1\/2) assuming z is positive.\nAnswer: z**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -41*z = -25*z + 80. Let u = 0.8 + -1.2. What is the nearest to -0.03 in 1\/3, z, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 33228 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 214397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4042 is divided by 85?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 71178114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 5*i**2. Let a(q) = 790253*q. What is a(x(u))?\nAnswer: 3951265*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 636*j**3*u + 59201*j**3 + 12945097*j*u + 3*j wrt j.\nAnswer: 3816*j*u + 355206*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 463 bigger than 463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 10831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13 + -155139084.92372.\nAnswer: -155139071.92372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.5051 - 0.3051. Sort c, -3, 20, -4.\nAnswer: -4, -3, c, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13019909 divided by 8449?\nAnswer: -1541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1  (b) 5\/3  (c) -4\/9  (d) 0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*t**3 + 43138164*t**2 - 129414519*t\/4 + 6066306 = 0 for t.\nAnswer: -2696136, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*x**2 - 9*x**2 + 25*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -3*l + 96. Suppose 2*h = -4*s + 16, 0 = -5*s - 5*h + 16 + 14. Let z be 1\/((-4)\/(-12)) + -3. Solve 4*b = -8, z*b - s*b - l = 4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 138149*b - 136400*b + 136422 for b.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 28600?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6926 + 6926.9. Which is smaller: -0.336 or w?\nAnswer: -0.336","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i = 3*l - 2*i + 7, -2*l = -3*i + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15 - 12*a + 0*a - 4*a + 3 wrt a.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3190668 and -1.\nAnswer: -3190669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 286 and 7748?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -77334\/10213 + 1\/1459. Find the common denominator of f and 41\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -10 - 139*b - 11*b + 109*b - 2*b - 3 + 3 + (-2 - 3*b + 2)*(-4 + 5 + 1) + (b - 2*b + 0*b)*(1 + 4 - 3).\nAnswer: -51*b - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -82235 + 119804. What is the ten thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 2*g + 5066 = 0, -c - c + 2553 = 5*g. Let n = -605 + c. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 464520.4ml to litres.\nAnswer: 464.5204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 35041727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16 - 61*i**3 + 30*i**3 - 2*i - 37 + 28*i**3 to the form d*i**2 + n*i**3 + j + m*i and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 60*n**3 - 54*n**2 - 13*n + 12. What is p(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*j + 9*j = -20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 7*u**2 + 2*u - 2. Let q be s(7). Let j be (4\/(-12))\/((-14)\/q). Factor 2\/7*t - j - 2\/7*t**3 + 2\/7*t**2.\nAnswer: -2*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1517 + 2341. List the prime factors of p.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 17 - 2 = 0. Let b be (h + 220\/(-12))\/((-1)\/3). What is the greatest common factor of b and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((((-30)\/(-10))\/3)\/(-1))\/(5*3\/6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 5 = 10. Let x(c) = c**2 - 2*c - 2. Let a be x(4). Suppose -3 - 5 = -5*q + 2*s, a = 5*q - 4*s. Solve -q*g = h + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 81 and 10853001?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c85 + 989?\nAnswer: -2fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5*(-4)\/(-30)*6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -3 + 1 - y**2 - 698*y + 690*y. Suppose 0 = j, 4*m = -5*j - 11 + 55. Calculate the least common multiple of m and r(-7).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0\/(-4))\/((-4)\/((-8)\/(-2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1\/((-9)\/4 + 2). Let u = z + 60. Suppose 2*m - 6*m - u = 0. Round m to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9236 and 1214.\nAnswer: 5606252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -243 or -291?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -44 - -58. Let j = 5 + g. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 + 4. Let t(n) = 2*n**2 - 7. Determine -5*s(y) - 3*t(y).\nAnswer: -y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.3975324m?\nAnswer: 397.5324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + 2*c - 1)*(-4 + 4 + c**3) + (7 - 2*c - 7)*(3*c**3 - 1 + 1) - 20*c**4 + 3*c**4 - 129*c**4 to l*c**4 + w*c**2 + b + v*c + p*c**3 and give l.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(3\/4)\/(f\/((f\/f**11*f)\/f)))\/((f**(-9\/5)\/f*f*f)\/(f*f**(-2\/35)*f*f)))**(-9\/11) assuming f is positive.\nAnswer: f**(8199\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 26*g - 29*g + 6. Suppose 4*i - 1899984 = d, -d - g*d + i = 5699996. What is d rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10268914*z - 10268914*z - 23795*z**3.\nAnswer: -23795*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-1)\/(-2)*2 + 15 is divided by (-54)\/(-4)*(-8)\/(-12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3373 is divided by 43.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.31 - 2.05. Let t = o + 0.54. Let g = 0.01 - -0.07. Which is the third smallest value?  (a) t  (b) g  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 147 in -4\/3, -10\/37, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 170 + 345091.2.\nAnswer: 345261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 12 + 27. Let n = -9 + 4. Let m(a) = a**3 + 11*a**2 + 7*a + 2. Let c be m(n). What is the greatest common divisor of r and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -41308799\/12156 - -2309\/2026. Let n = -3393 - o. Calculate the common denominator of n and 35\/32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5069600.\nAnswer: 2, 5, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13 - -9. Let n(q) = 2*q**2 + q - 4. Let v be n(j). Suppose -2*z + 4 = 3*g - 0*g, 4*z + v = 2*g. Solve -3*b = -g + 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 807, 812, 821, 834, 851?\nAnswer: 872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 13, l: 1, j: 2, r: 1, m: 3}. Give prob of picking 1 t, 1 j, and 1 r.\nAnswer: 13\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**2 + 27*f + 26 = 0 for f.\nAnswer: -26, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 y when two letters picked without replacement from ybye?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 648 divide 9882648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 10\/27, -59\/4, -3, -1.9, 20, 5?\nAnswer: -59\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 440, 28, 2\/9, -2?\nAnswer: 440","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/(6\/((-96)\/40)). Sort f, 11, -1.\nAnswer: -1, f, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*y - 2*y - 4*y)*(y - 10*y + 2*y) in the form l*y + a*y**2 + o and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2159 + 2170. Suppose -2*k + 3*g + 109 = -56, -5*g = k - 50. Suppose -4*w + w = -k. What is the remainder when w is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rjrr when four letters picked without replacement from {j: 3, r: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 556 minutes before 11:37 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = 5*w - 4*m + 19, 4*w + 4*m = -16. What is the hundreds digit of ((-4884)\/55)\/(1\/w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 28, -6, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -2 + (11 - (5 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.07 + -3.07. Suppose 7*j - 9 = 10*j. Let k be 38\/10 + (j - 1). Which is the second smallest value?  (a) k  (b) 5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 436 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 289*b + 158*b - 765 - 129 = 0. Suppose 0 + 0*m - 1\/2*m**b - 3\/4*m**3 - 1\/4*m**4 = 0. What is m?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 24 + -20. Let c be m - (-2)\/(4\/(-2)). Suppose -2*l = -2*y - 12, 3*l + c*y + y = 11. Solve 0*a = -l*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -132, 6 in increasing order.\nAnswer: -132, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 380 - 290. Suppose 5*x = -3*b + 6, 3*x + 6*b + 6 = b. Let g be 10\/(0 + x + -2). Calculate the greatest common divisor of i and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -5*h - 18. Let m be q(-4). Suppose -4*s = 5*t - 2336, 0 = -m*s - 4 + 2. What are the prime factors of t?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37.16 - 216.3189.\nAnswer: -253.4789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -g**2\/4 + 10533*g\/2 - 4895285\/4 = 0.\nAnswer: 235, 20831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -94297082, -188594160, -282891236, -377188310, -471485382?\n\"Answer: x**2 - 94297081*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 16*u**3 + 16*u**2 - 28*u - 82. Let d(a) = a**3 - a + 1. Let h(c) = -36*d(c) + 2*l(c). Factor h(v).\nAnswer: -4*(v - 5)**2*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 400 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 514232, 514210, 514176, 514124, 514048, 513942, 513800?\nAnswer: 513616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 2*h = 8, -c - 5*h = c - 4. Let y be (-15)\/2*4\/3. Let j = 7 + y. Put j, c, -2 in descending order.\nAnswer: c, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 82427 to the power of 1\/2, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -135 + -3.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -115c6 - -97?\nAnswer: -1152d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Express -5*f + 3*f - 2*f + 0*f**2 - 2*f**2 in the form d*f + i + v*f**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.15952 and 0.4.\nAnswer: 0.063808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68*t + 15*t + 18*t + 14*t + 14*t.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -1\/2  (b) -2  (c) -8\/7  (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4 - 7. Let x = p + 5. Let y = x - 5. Which is the smallest value?  (a) 5  (b) y  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11326 + 11328. Put 1\/9, -0.1, m, 0.3, 101 in increasing order.\nAnswer: -0.1, 1\/9, 0.3, m, 101","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q - 2*q**2 + 2*q - q - 2*q + 2*q + q**2 + (2 - 4 + 0)*(-2*q**2 - q**2 + q**2) - 2*q**2 - q**2 + q**2)*(-3 + 2 + 3).\nAnswer: 2*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 769548, 1539450, 2309342, 3079218, 3849072, 4618898?\nAnswer: 5388690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (1\/(-2))\/(5\/(-650)) is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 2 - 4)*(-x + 13 - 2*x - 16) + x - 9*x + 2*x.\nAnswer: -3*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-2 - 9) + -3)\/(-2). Let x = y - 7. Let b(d) = -d + 61. Calculate the remainder when b(x) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*j - 3*j - 10*j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 832 and 768.\nAnswer: 9984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -12. Suppose -z = 5*a - 45, -4*z + 6*z = h*a - 50. Calculate the smallest common multiple of a and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 412 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (10 - (-1125)\/(-63)) + 8. Sort 270, f, -2\/5.\nAnswer: -2\/5, f, 270","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-7))\/(23\/69)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48*q - 43*q = -15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 - -14. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 14, 19\/16, -0.3 in increasing order.\nAnswer: -0.3, 19\/16, 10, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (5175\/(-18)*20)\/(1\/1224). Round n to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -3 - 10\/(-6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**2 + 11*u + 22. What is h(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*y - 29*y - 66*y.\nAnswer: -88*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -34 + 34. Solve 5*a - u + 28 = -h*a, -2*a - 3*u = 1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/155309 and 11\/2188445.\nAnswer: 24072895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -71.55668 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 819336 and 3402?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 145986+13762\nAnswer: 159748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54 + 3 + 6 - 2*p + 22 + 27.\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uleu when four letters picked without replacement from {l: 5, j: 4, d: 4, u: 2, e: 1}.\nAnswer: 1\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -223 + 64. Let y = s - -158.91. Which is the fourth smallest value?  (a) 2  (b) -2  (c) y  (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -260, -1113, -2524, -4487, -6996, -10045, -13628, -17739?\n\"Answer: n**3 - 285*n**2 - 5*n + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0001540346 to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + (1 - (11 + (0 - 6)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-8)\/(-6) + -1)\/((-4)\/(-3804)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 586882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3615560 and 216580.\nAnswer: 4420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of ((-9885)\/(-20))\/(45\/300)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that 2*l**3 + 456*l**2 - 1382*l + 924 = 0.\nAnswer: -231, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (51*z**2 + 50*z**2 - 48*z**2)*(0*z + z + 1 - 2).\nAnswer: 53*z**3 - 53*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11875*i**2 + 139 - 7120*i**2 - 139 + 3890*i**2.\nAnswer: -15105*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1 - -220) + 0 + 2. Let a = b + -131. Let q be -28*(a\/(-21))\/5. Solve -z - 5*g = 1 + q, -5*g = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r**2 + 2*r**3 + 0*r**2)*(-2000*r**2 - 1854*r**2 + 3234*r**2).\nAnswer: -1240*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*v**2 + 10*v**3 - v**2 + 4*v**2.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) be the second derivative of -43*p**3\/3 + 11*p**2 - p + 20. What is the derivative of b(n) wrt n?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = b + 5. Let d be m(-5). Suppose -4*i + 2*l + 136 = -0*i, 5*l = -5*i + 185. Let g = i + -40. Sort -3, 2, g, d.\nAnswer: g, -3, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 5*z**2 - 2*z - 37. Let y(q) = -6*q**2 + 3*q + 37. Let g(v) = -5*m(v) - 4*y(v). Let l be g(-7). Solve 0 = -l*s - s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + 2 + (-4 - (0 - 8) - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 3 = 71. What is the remainder when 53 is divided by 3 - (j - (-1 + -1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the third derivative of 17*s**7\/210 + 17*s**5\/60 + 7261*s**4\/24 + 1788*s**2 - s. Find the second derivative of a(v) wrt v.\nAnswer: 204*v**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -53*s + 4012 - 355. Is s a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*d + 3 = 14. Let a be 15\/(-6) + 2 + (-146)\/(-316). Let o = 32\/2923 + a. Is d < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -233 (base 4) to base 9\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*(1 + sqrt(1100))*1 + 4 + (sqrt(1100) + 1)*5)**2.\nAnswer: 1200*sqrt(11) + 39700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/30)\/(2\/40)*(-106)\/212.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -2*z - z. Suppose 0*q**2 - 11*q**4 + 6*q - 2 + 0*q**2 - 6*q**3 + 10*q**z + 3*q**4 = 0. Calculate q.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -57240*m. Let x(p) = -3*p. Calculate d(x(o)).\nAnswer: 171720*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -7 - -723?\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1485510933?\nAnswer: 3, 495170311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 886.3726 decades in years?\nAnswer: 8863.726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from aaqaaccra.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = f - 2768. Let h be (f\/(-4) - -1) + -3. What is the highest common factor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + o = -4*h - 8, -o - 6*h = -33. Suppose 2*d = -3*d - 980. Let g be d\/o + -2 + 8\/36. Solve 3*l + g = -2*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 750 and 150.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*b - 123*b = -6764. Solve 0 = -78*s + b*s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cccrccccr. Give prob of picking 2 c.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -13 + 101?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 5221.41 to the nearest 100.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -82 (base 12) in base 9?\nAnswer: -118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 6557 - 40.53?\nAnswer: 6516.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 669950 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -33, -25, -11, 9?\n\"Answer: 3*z**2 - z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 8572?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(((-4 + 1 + sqrt(192))*1)**2 + 5).\nAnswer: -240*sqrt(3) + 1030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -3*g**2 + g + 8. Let z(m) = -m**2 - m - 5. Let o be z(0). Let h(u) = 6*u**2 - u - 17. Let r(s) = o*a(s) - 2*h(s). Determine v so that r(v) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.34?  (a) 3\/5  (b) 0.5  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(4 + (0 + (sqrt(176) - sqrt(11)))**2*-4).\nAnswer: 1960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1211*j - 9956 - 211 = 1943 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 537108.\nAnswer: 2, 3, 11, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3081630 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3244 + 76)\/(-166)*14\/10.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 64 - 60. Let q(k) = -11*k**2 + 21*k + 9. Let d(m) = -6*m**2 + 10*m + 4. Let c(g) = -9*d(g) + 4*q(g). What is the units digit of c(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 4*z + 168 = -276, 676 = 3*b + 4*z. Which is bigger: 231 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22343107271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 972809943?\nAnswer: 3, 7, 359, 129037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8\/13*v**2 + 8\/13*v**4 + 2\/13*v + 2\/13*v**5 + 12\/13*v**3 + 0.\nAnswer: 2*v*(v + 1)**4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -2\/9  (b) -635  (c) -2  (d) 2  (e) -2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -81242592*o**2 + 445962*o - 68?\nAnswer: -162485184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14.7 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = u + 8, 0 = 3*u - 4*r - 8 - 8. Solve 14 = -2*f + 2*z, u*f + 4*f + 14 = -3*z for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1325?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 3, -1409 in descending order.\nAnswer: 3, 0, -1409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1509*v + 2 - 10*v**2 + 786*v + 845*v to the form r*v**2 + t*v + o and give t.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - 8*w**2 - 22*w + 18. Let f be j(10). Let g(n) = 4*n**3 + n**2 + 4. Let c(d) = -5*d**3 - d**2 - 5. Calculate f*c(i) - 3*g(i).\nAnswer: -2*i**3 - i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b - 3. Let k be h(4). Suppose -k*t + 14 = -l, 32 - 6 = 3*t - 5*l. What is the smallest common multiple of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 3\/14, 0.03, -5, 5, -72?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 11493, 10029, 8565, 7101, 5637?\nAnswer: 4173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 19357912 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*h = 50*h - 6. Suppose -6*x + x + 5 = 0. Let y be (0 + h + x)*-4. Solve 4*u = -3*z - 2 - 2, 2*z = -3*u - y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11218674?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 30185046 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15d6717 + 1?\nAnswer: -15d6716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -81 - -83. Suppose 5*i - 16 = i. Solve 0 = -3*x + 2*f - 9, a*x - f = -i - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*s = 22*s + 336. Let d = -116 - s. Calculate the least common multiple of d and 20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -303 - -1023?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 48150 (base 11) to base 4\nAnswer: 100330030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00581608484 to 6 dps.\nAnswer: -0.005816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i - 31 + 33 = 8*i + 82 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**2 + 0*y**2 + 44*y - 67*y + 39*y - 2. Let k(d) = 5*d - 1. Let i be k(3). Is l(i) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 21, 11, -13, -57, -127?\nAnswer: -229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/41  (b) 3  (c) 76  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of 23*j**5\/60 - j**3\/6 + 6*j**2. What is the units digit of t(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 51\/4 of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (68\/153)\/(-6*9*6\/1458)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*l**2 + 2327 - 1159 + l**2 - 1168.\nAnswer: -14*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0307337 centuries in years?\nAnswer: 3.07337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 219*y - 2623. Determine j(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 5208 (base 13) in base 2?\nAnswer: 10110001000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tbq when three letters picked without replacement from tzbtnzznqtz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -107 or -9801?\nAnswer: -9801","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.3006 + 1.1006. What is the nearest to -1 in -4, -1\/8, l, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 919\/10 - 92. Let z = 126 + -122. Which is the closest to 1\/2?  (a) 0.3  (b) z  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2 (base 7) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 4 + 124 = -k, 4*m + 2*k = 94. What is the remainder when 124 is divided by m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**2 + 5*s - 1. Let n be p(-6). Let t = 413 + -28. Suppose t = n*j - 0*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wikw when four letters picked without replacement from {k: 3, i: 6, w: 3, c: 5}?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*r**2 + 15*r**3 - 17*r**3 - 2*r**2 + 0*r**2 - 26 - 3*r**2 to the form u*r**3 + o*r**2 + v*r + b and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 4*d**5 - 8*d**4 + 8*d**3 - 2*d + 4. Let c(x) = 21*x**5 - 40*x**4 + 41*x**3 - 11*x + 22. Let w(a) = -4*c(a) + 22*q(a). Solve w(m) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 577772 and 57031.\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -474*n + 3990 + 18503 = 364*n - 42033 for n.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -12.38 + 9.9. Let q = o - -2.4800214. What is q rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -6*k*v**5 - 5494*k*v**4 + k*v + 394656*v**2 wrt v.\nAnswer: -360*k*v**2 - 131856*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 9 times -86372155\nAnswer: -777349395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -32*z**2 - 7*z - 14. Let y(s) = 34*s**2 + 8*s + 19. Calculate -6*v(u) - 5*y(u).\nAnswer: 22*u**2 + 2*u - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -0.054 * 14972.9\nAnswer: -808.5366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: ((-54)\/351)\/((-78)\/23829)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*m**2 - 2*m**2 - 3*m**2 + 4*m**2 - 3*m**2 - 2*m**2 - 2 + 2 - m**2 + (4 - 2 - 4)*(m**2 + 0*m + 0*m).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 1 - 32*c + 3 + 0.\nAnswer: -32*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*n**3 - 192*n**3 + 41*n**3.\nAnswer: -75*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(209)\/(sqrt(539)*-2) + ((1*(sqrt(133) + sqrt(133) + sqrt(133) + (sqrt(133) - sqrt(133)*-1 - sqrt(133) - sqrt(133)) + sqrt(133)))\/sqrt(7))**2.\nAnswer: -sqrt(19)\/14 + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 709 minutes after 11:36 AM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u**2 - u**2 + 5*u**2)*(-1 + 1 + 3*u) + 0 + 0 + u**3 + 684*u**3 + 211*u**3 - 1 + 980*u**3 + 221*u**3 + 3.\nAnswer: 2100*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nmmnnnmb. Give prob of picking 3 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 147 = -2*p + 137 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from svsssssssssssssvssss. Give prob of picking 2 s.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-4))\/((-1)\/4). Let b be -3 - ((-2)\/10 - (-10302)\/85). Let z = -119 - b. Solve z*n - x = q*x - 17, -5*x = -20 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f = 5*b + 10 - 47, -4*f = -4*b + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5570*b + 9191 - 18677 = 35074 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 3*h**3 + 3*h**2 - h + 1. Let c be s(3). Suppose 3*v - 2*j - 100 = -6*j, -j = 3*v - c. Calculate the highest common factor of v and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 1. Let l(g) = -g**2 - 11*g - 5. What is 5*d(k) + l(k)?\nAnswer: -k**2 - 11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + 6 + (-573 - -511).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 566*w + 2809. Give s(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = b**3 + 31*b**2 - 55*b + 347. What is p(-33)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 4 times -3461579\nAnswer: -13846316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 4, t: 1, g: 2, c: 2}. Give prob of sequence gbcg.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 28 = -18. Let j = 33 - s. Solve -2*v = -4*q + 4, q - 2*v - j + 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 - 6 + 3*a**2 + 14*a - 6*a - 3*a + 2*a**2. Let d be z(5). Suppose 7*w - 9 - d = 0. Solve 0 = -w*m - 6 - 14 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 18*b + 24 + 84. Let j(w) = -4*w - 4 + w - w**3 - 6*w**2 - 3. Determine j(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2348 - 178*i**2 + 86*i**2 + 94*i**2.\nAnswer: 2*i**2 - 2348","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -k + 12, -4*k = 2*v - 35 + 11. Solve -10 = -2*t - 2*s, 0*t = v*t + s - 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1045964 or -1045974?\nAnswer: -1045964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kffkkkkfkfkkkf. What is prob of sequence kfk?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.5 or -13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {l: 7, m: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 22*v**3 - v + 1. Let t be u(1). Suppose -4*a = -20, -4*n + 3*n = -4*a - t. Does 15 divide -1*(2 - (-1 + n))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14452349, -14452351, -14452353, -14452355, -14452357, -14452359?\nAnswer: -14452361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 738388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 n when two letters picked without replacement from nccccccncnnccc.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 15477 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 - -3 - 8) + 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6.06727ms?\nAnswer: 0.00606727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(4)\/(sqrt(72) + (sqrt(72) - (sqrt(72)*2 - sqrt(72)))) - sqrt(6)\/(3*(sqrt(3) - (sqrt(3) - sqrt(75)))).\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 equal to -30648873?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.9, -0.3, -52, -5, -6, -2.\nAnswer: -52, -6, -5, -2, -0.3, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1951666 - 44286\nAnswer: -1995952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 14154194 is divided by 199353?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 6\/11, 1\/2, -0.4, 230340?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12723 is divided by 6353?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 2025692143 to the power of 1\/2, to the nearest integer?\nAnswer: 45008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3275886018?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 44090 = -2*v - 93445, -4*b + v = -110031. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, x: 1, g: 3, q: 2, p: 1}. Give prob of sequence qg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 30 = 3*t. Let v be (t\/18)\/(1\/3). Let q(r) = -3*r - 12. Let n be q(-6). Solve c = -v*u + 2*c + 4, -4*u + n = 2*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6 and 28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 77*h**3 - 2*h**2 - 3*h - 1. Let w(i) = -309*i**3 + 9*i**2 + 13*i + 4. Give -9*v(k) - 2*w(k).\nAnswer: -75*k**3 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -k*w + 1326*k - 775*w**4 wrt w.\nAnswer: -k - 3100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*l + 2*l**3 - l**3 - l**4 + l**3 + l + 2*l**2 to y + a*l + i*l**2 + g*l**3 + q*l**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5*30\/175*-4*735\/480?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3824318 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 45 = o. What is the greatest common factor of 40 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 16 + -68. Let h(q) = 5*q**2 - 5*q + 2. Let y be h(-4). Let p = y + a. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*c - 5*q + 175, 4*c - 2 - 110 = 3*q. Let t = -48 - -110. Calculate the highest common divisor of c and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t\/t**(-3\/2))\/t)\/t)\/(t\/t**(-2\/29)))\/(t**(-4)*t)**19 assuming t is positive.\nAnswer: t**(3273\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41033 is divided by 661.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010 + 111010000?\nAnswer: 110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-6)\/52)\/(24\/(-32)). What is the closest to 1 in -2\/9, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 323*a - 212*a - 214*a to n + p*a and give p.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 20474 + ((-30)\/4)\/((-250)\/100) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 804134213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.43 + -0.03. Suppose 4*o = -3*n - 29, -4*n = 3*o - 5*o + 2. Let f be (-2)\/(-9) - 92\/(-72). What is the second smallest value in n, f, 2\/11, b?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gq when two letters picked without replacement from ororrrgqrorr?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1 + 2. Let a be (-1)\/o + 1 + 82000. Round a to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 + 5*y**2 + 4*y + 6. Let l(d) = -d**3 - 8*d**2 - 9*d - 2. Let q be l(-6). Let i be (10\/25)\/(2\/q). Calculate z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 18 = -3*m + 4*m, -3*n = -2*m - 3. Let r(y) = y**3 - 1147 + 3*y**2 - 5*y**2 + 8*y**2 - y + 1148. Calculate r(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -z + 47. Let x be h(35). Calculate the greatest common factor of 84 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 193005?\nAnswer: 3, 5, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 10\/(-2) + (-231)\/(-35) + -1. Factor -3\/5 - 3\/5*t**3 + 3\/5*t**2 + r*t.\nAnswer: -3*(t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 155 = 2*b + 3*b, 20 = -4*b. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 81\/4 of a kilometer in meters?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -40071 - -40066. Which is the third biggest value?  (a) -0.3  (b) m  (c) 533  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0013223 rounded to five decimal places?\nAnswer: -0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n - 192 = -14*n. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 538360 (base 9) in base 14?\nAnswer: 85009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(30\/10)*7*(-4)\/(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -128 - -144. Find the third derivative of -g*j**2 + j**5 - 22*j**5 + j**5 wrt j.\nAnswer: -1200*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 174 - 85. Let d be 1\/(c\/(-287) - 2\/(-7)). Let u = 45 + d. Solve 2*y - 3*m + 9 = 0, 3 = -u*y - 5*m + 40 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 427520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**3\/c)\/c)\/c*c\/(c**(2\/9)*c))\/(c**6\/c**(-1\/2))*((c\/((c*c**(2\/3))\/c))**(2\/13))**(6\/25) assuming c is positive.\nAnswer: c**(-33403\/5850)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -11*p**2 - p - 36. Give q(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in seventeen halves of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 5*n = 40, 991*n = -4*p + 992*n - 141 for p.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**2 - 9*i + 22. What is y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 28109*b - 28104*b + 5*p, p + 53 = -7*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of q**2 - 196*q + 4221 wrt q?\nAnswer: 2*q - 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14 - -10. Let n be 2 - (6 + 0) - x - -1. Are 0.06 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 117483228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 225 plus 314.4?\nAnswer: 539.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1731*u**2 - 520*u - 17525816?\nAnswer: -3462*u - 520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/4*(-72)\/27. Solve 17 = -x + 4*g, -p*x = -5*x + g - 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 + 56*y**2 + 1168*y + 61196. What is s(-55)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.2  (b) -2\/27  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -137*m - 492 + 0 = 2407 + 4636 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2 - -3. Suppose -a*m + 565 = -5*l, -m - 3*l = l - 88. Let p = -1891 - -1903. What is the greatest common factor of m and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11011020210220 (base 3) to base 12.\nAnswer: -8a6759","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let 60*q**3 + 115*q**2 - 190*q + 15 = 0. Calculate q.\nAnswer: -3, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 - -12. Let u be (-4 - 16\/z) + 2. Suppose 3*b = u*b + 8. Is b a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(-2\/3)\/(a*a**(-1\/5)) assuming a is positive.\nAnswer: a**(-22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3456 and 560.\nAnswer: 120960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (((-1*sqrt(156) - sqrt(156))*-3)\/(-1*sqrt(256)))\/((sqrt(540)\/sqrt(4))\/(sqrt(60)\/sqrt(108))).\nAnswer: -sqrt(13)\/12 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 22 - -105. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-68)\/(-102)*(-54)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7788*b - 7270*b = 56462 for b.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*g + 32*g + d + 9 = 0, -3*g + 17 = -4*d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 5 + 5)*(4 - 4 + 1)*(6*z - 3*z - 2*z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 1, q: 2, u: 4, a: 1}. What is prob of sequence qqc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62916 is divided by 664?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + (4 - ((-8 - -13) + (22 - 4)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1680 + 1682. Solve 0 = 4*g + 3*x, a*x + 1 = -g + 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.06 in -1, 14\/9, -4, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = -9*s**2 - 2. Let j(k) = -4*k**2 - 1. Suppose 5 = 4*c + 21, 2*a = 3*c + 18. Give a*f(h) - 7*j(h).\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -25 + 9. Calculate the smallest common multiple of (16\/(-22))\/4 + 112\/11 and n*(1 + (-4)\/2).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhghhhg. What is prob of picking 2 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 - 35 = s + 8*w, w = 6*s - 8*s + s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g + 2 - 2)*(g - 1 + 1) - 90*g**2 + 648 - 648.\nAnswer: -86*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 11\/((-231)\/(-2)) + 14\/(-147). Let r = 9 + -6. Solve v*q + 6 = -r*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o - x = 103, 0 = 5*o + 2*x + 17 - 111. Calculate the least common multiple of 7084 and o.\nAnswer: 35420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 11) to base 5\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 265, 1309, 3073, 5557, 8761, 12685, 17329?\nAnswer: 22693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.6 at least -388.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2 + 3464*q + 3466.\nAnswer: -2*(q - 1733)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1715554?\nAnswer: 2, 491, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*h - 414 = 16*h. List the prime factors of h.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 + -1. Let v be ((-44)\/(-12) - 3)\/(-2)*-9. Suppose 27 = r + 24. Solve v*k + r = -o for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -98*c**3 + 51 - 102 + 55.\nAnswer: -98*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1480*g**2 - 1480*g**2 + 58*g**3 - 8 + 153*g**3 + 8.\nAnswer: 211*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 + 8*u**2 - 67*u - 1. What are the prime factors of i(-6)?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 129488491?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 152173982 to the nearest integer?\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y - 3*y + 0*y - 38 = -y - 3*z, 0 = -4*z + 40 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -3*b**2 + 159 + 14*b + b**2 - 56 - 57 - 51. Determine j(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16, -20, -14, 8, 52, 124, 230?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 13*o + 32. Let i(f) = -7*f - 17. Let s(r) = 11*i(r) + 6*m(r). Give s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 50*o**3 - 28*o**3 - 20*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32 + 88 = -4*i. Let l be ((-2)\/(-3))\/((-4)\/i). Suppose -5*u + l = -5. Is u less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 106803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -11783*v**3 - 1550?\nAnswer: -35349*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15616 divided by -3.\nAnswer: 15616\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42 = -3*z - 2*m, 4*z - 14*m = -10*m + 56. Let k(r) = -2*r**3 + 4*r**2 - 4. Let s be k(2). Sort 2, z, s in ascending order.\nAnswer: s, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5 - -8. Let u(f) = f**3 - 3*f**2 + 4*f - 4. Let m be u(r). Suppose -5*c - 15 = 0, 0*q + c = 3*q - 21. Solve q*p = 2*p + m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nto when three letters picked without replacement from tbonrnk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 949*v - 857*v - 208012 = 0. Is v a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(70)\/(sqrt(40)*-2).\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 3*w - 1372, -7*x + 686 = -5*x + w. Suppose -14*m + x = -105. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (135 + 148 - 111)*((3*i + 4*i - 5*i)*(i + 2*i - i) + 12*i + 8*i**2 - 12*i).\nAnswer: 2064*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*i + 5*f - 60 = 8*i, -3*i + 15 = -4*f. What is the remainder when i is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52743 to the power of 1\/2, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 99*c*j**2 - 501260*c + 2*j**2 + 136812*j - 608 wrt j?\nAnswer: 198*c*j + 4*j + 136812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the first derivative of m**4\/4 - 2*m**3 + m**2\/2 - 2*m + 1. Suppose 3*c = -3*c + 12. Suppose -5*h + c*v = -40, 3*h + v + 17 = 5*h. Determine z(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 + -8. Suppose -v + 78 = t*v. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z + 2. Let l(t) = -3*t + 9. Let v(x) = 9*b(x) - 2*l(x). Let a(w) = -2*w. Determine v(a(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 - 4*y + 6. Let h be s(-5). Let t = -0.3 + 14.3. Let q = 11 - t. Which is the nearest to q?  (a) 3  (b) -1\/2  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -28*x - 557. Let g be j(-29). Solve 259 = 4*n + g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(44)\/sqrt(4) + 3 - -3*(sqrt(11) + -1).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1352 times 5?\nAnswer: -0.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 7805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 555 and 0.113.\nAnswer: 62.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 19422*u**2. Let y(x) = 16*x. Calculate v(y(g)).\nAnswer: 4972032*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of -2489*t**8\/56 + 3407*t**4\/12 + 3371*t. What is the third derivative of w(h) wrt h?\nAnswer: -298680*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -w - 3, 5*w - g - 4 = -2*g. What is the lowest common multiple of 71 and w?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6208 = -259*u - 3375 for u.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**4\/5 + 16*i**3\/5 - 72*i**2\/5 + 16*i - 28\/5.\nAnswer: 4*(i - 1)**3*(i + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 6*d**2 + 1. Let p be w(-1). Solve -3*q = -p*q - 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from ttpptt.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 39454872?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 421 minutes before 11:33 PM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.48 + 6.04\nAnswer: 5.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-1))**34\/(w*w**1)**38)\/((w**0)**(-14))**34 assuming w is positive.\nAnswer: w**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2275 + -1614. What are the prime factors of c?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9324528 + 0\nAnswer: 9324528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 213*r**2. Let y(d) = d**2. Determine f(y(w)).\nAnswer: 213*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 139 divide 3033119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 38 + -7. Let i = g + -23. Let o(m) = -m**2 + 20*m - 5. List the prime factors of o(i).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1809 - -1807. Is b != -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(1331) + ((sqrt(1331) + 0 + sqrt(1331))*1)**2 + sqrt(1331) + -1 + sqrt(1331) + -2 + sqrt(1331).\nAnswer: 44*sqrt(11) + 5326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -168*a**3 - 12*a**2 + a. Let u(v) = -339*v**3 - 28*v**2 + 2*v. Calculate 21*n(j) - 9*u(j).\nAnswer: -477*j**3 + 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2362a92 (base 11) to base 4\nAnswer: 33231121032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 711 and 1083906.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 165 - 116. Solve 105*f - w = -259 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46430 is divided by 3116.\nAnswer: 2806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hl when two letters picked without replacement from lithhtthth.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 53637 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1831500508?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 18. Let k be 16\/j - (2 + -1). Put -0.5, -4, k in increasing order.\nAnswer: -4, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-80)\/(40\/(-4))*(-7)\/(-2).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j + 82 + 110. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 488 and 1342?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.263 and -111862?\nAnswer: 111862.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -118 - -122. Suppose k + 11 = 4*w, 0 = w - r*k + 2 - 1. Solve -6*a - 3*o + w = -2*a, 0 = a - 5*o + 28 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29\/12861 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -533 - 213 - 2*o**2 + 1980*o + 2525*o - 154 - 23*o**2.\nAnswer: -5*(o - 180)*(5*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 90807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 13091 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 AM and 1:14 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l. Let r(o) = -54358*o - 1. Calculate r(b(x)).\nAnswer: 54358*x - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 3*b**2 - 218736*b + 218733 = 0.\nAnswer: 1, 72911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 2 - 7)*(-16 + 88 + 0)*(-y + y + y) to the form x + f*y and give f.\nAnswer: -432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 438807 and 1284.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15150 divided by -22408.\nAnswer: -7575\/11204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 AM and 12:56 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4*(-4)\/32*12\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-90)*-11 - (-3)\/15. Let c = 78 - 1948\/25. Let q = c + -47\/275. What is the third biggest value in -0.1, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 4\/3199 and 1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1041)\/10 - (6\/15 - 1). Which is greater: -104 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - 1. Let j = -5 + s. Let u = j + 4. Which is the closest to 0?  (a) 0.3  (b) u  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*v + 7*v = -44. Let h = 20 - v. Let j(z) = -h*z + 4*z + 3*z. Let a(o) = 33*o. What is a(j(b))?\nAnswer: -66*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3, 8\/3, -32, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 1.835397 * 0.3\nAnswer: 0.5506191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1231551 - 14535?\nAnswer: 1213012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 165054821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) be the second derivative of -s**5\/4 + 5*s**4\/4 + 10*s**3\/3 + 9*s. Factor b(q).\nAnswer: -5*q*(q - 4)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48 - 3438*o**3 + 104 - 57.\nAnswer: -3438*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1875\/665 - 3 - (-456)\/1596.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -74, -168, -300, -470, -678?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2671\/231 - 358\/33. Sort 4, 2\/13, 1, d in descending order.\nAnswer: 4, 1, d, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2670, -233\/5, 12?\nAnswer: -2670","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 126*u**2. Let p be n(1). Suppose 3693 = -46*w + 256*w - 87. What is the highest common factor of w and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 10*m)*(-3 + 3 - m)*(4 - 3 + 2).\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((3927\/(-968))\/119)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -8013*q**2 + 442*q + 1756. Let c be t(-4). What is c rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:17 PM and 11:13 PM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 836301309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 572 = -376 + 542. What is the highest common divisor of 1517 and w?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21\/(-28) + (-47)\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/(-98)*(57 - 8)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 224 (base 8) in base 5?\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2a (base 16) to base 8.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = q**2 + 2*q - 3. Let s be t(2). Suppose r - 3*f + 76 = -4*r, -3*f + 25 = -2*r. Let u be r\/(-4) + 4\/(-16). Which is bigger: u or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ajajaaaaajjaaaajaa. Give prob of picking 1 j and 2 a.\nAnswer: 65\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 - 1. Suppose 4*y + 3*q + 279994 = q, 0 = -d*y - q - 349997. Round y to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-8)*s\/(s**(1\/5)\/s)*s)**(-2)\/((s**(2\/5))**(-15)*s**6*(s\/(s**(2\/5)*s)*s)\/s) assuming s is positive.\nAnswer: s**(54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.1  (b) 5  (c) -2720  (d) -1\/22  (e) 0.5  (f) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6419 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -167.7851 and -0.06?\nAnswer: 10.067106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 95 - 91. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 3*o**2 - 31*o + 32. Determine j(16).\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x - 4*x = -2*a + 109, -3*x = -a + 60. Suppose -4*w = c + 12, c + c = 4*w. List the prime factors of (70\/15 + c)*a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8316896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 + 1763034?\nAnswer: 1763032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 7*u + 6*u**2 + 74*u - 81*u. Let k(a) be the first derivative of 2*a**3\/3 + 1. Calculate k(y(p)).\nAnswer: 72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102303100 (base 6) to base 12.\nAnswer: 727a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 3, b: 4, a: 2, d: 6, v: 1}. What is prob of sequence ddbd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-5)*7500\/(1920\/32).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9188 is divided by 8765?\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = i**2 + 4*i - 8. Let y be b(-6). Suppose f - y = -f. Suppose 0 = 3*z - f*z - 4. What is the lowest common multiple of z and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5037 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1310042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 726 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p**(-1))**(-11)*p\/(p*p\/p**(-16)*p)*p*p\/p**(1\/44) assuming p is positive.\nAnswer: p**(-705\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 568 and 3?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) be the second derivative of h**4\/2 + h**3\/6 - 3*h**2\/2 + 14*h. List the prime factors of j(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 (base 13) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 26*s**2\/11 - 84*s\/11 + 18\/11 = 0.\nAnswer: 3\/13, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 2 + 14 + 80\/1290*(-49995)\/220.\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 0  (b) 128671.9  (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + 0 + -3 + (-23 - 4 - -18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1037 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -43 times 1.5?\nAnswer: -64.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/18 + 2\/6. Suppose -5*w + x*w = -10. Suppose j + 4*g = 43, 3*g + 1 = w*g. Calculate the remainder when j is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*o**2 + 40*o + 102.\nAnswer: 2*(o + 3)*(o + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(1008) - sqrt(1008)*1 - sqrt(1008))**2.\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -2, 2, -0.06, -162, -17?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2554 is divided by 848.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 13 - 13 - (-6 + 1) - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -b**2 + 29. What is x(0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -2 - 218*d - 2 + 225*d. Let q(t) = -13*t + 7. Let p = -12 - -4. Let r be 2\/p + (-45)\/(-4). What is r*b(c) + 6*q(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**2\/19 - 17314*g\/19 - 17312\/19 = 0 for g.\nAnswer: -8656, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 3*q**4 + 3*q**3 + 30*q**2 - 12*q - 36. Let d(y) = y**4 + y**3 - y**2 + 2. Let r(c) = -6*d(c) + h(c). Let r(z) = 0. What is z?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t + 1. Let b be g(0). Suppose -3*d + b = 10. Let m(y) = -y**2 - 2*y + 1. Let o be m(-3). Put d, -5, o in descending order.\nAnswer: o, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33, 106, 227, 396, 613, 878?\nAnswer: 1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 minutes before 10:51 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 86, 148, 316, 644, 1186, 1996, 3128?\nAnswer: 4636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 376738367 to the power of 1\/2, to the nearest integer?\nAnswer: 19410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 270 (base 13) to base 3\nAnswer: 120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(144) + sqrt(144)*-2)*5)\/(2*sqrt(144)))\/(6*(sqrt(432) - (sqrt(432) - 2*sqrt(432))) + 1*sqrt(432)*5).\nAnswer: -5*sqrt(3)\/1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*n**3 - 436422*n**2 + 15872449920*n - 31743154176.\nAnswer: 3*(n - 72736)**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-5)\/(-4))\/(4\/48). Let o be ((-36)\/14)\/(i\/70). Let s be 40\/o*(-18)\/(-15). Let q(v) = v**3 + 3*v**2 - 6*v - 3. Give q(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38152 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -13*t + 2. Let o be n(-1). Let b be (24\/o)\/(6\/(-45)). Sort 4, 0, b.\nAnswer: b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 313, 105, -2\/13, -2\/3, -5 in increasing order.\nAnswer: -5, -2\/3, -2\/13, 9, 105, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14691868*w - 7345869*w - 7345997*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-22*(-1786)\/418)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 + (-2)\/((-2)\/(-1)). Suppose -h*v - 3 = -v. Let m = 57\/68 - 10\/17. Which is the third biggest value?  (a) 4  (b) v  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -8*a + a + 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 71139 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5)\/(-95)*(3 + -1). Let p(x) = 43*x - 689. Let g be p(16). Let s = -32 + 36. Which is the nearest to g?  (a) m  (b) -42  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*y - 1578 = 7*y + 13*y. What is the remainder when y is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 936715 and 42510.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51202 is divided by 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -823*b - 1002*b = -1895*b + 1470 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 629 is divided by 40?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.63 - 0.33. Let p = 3.7 + i. Let t = 107.655 + -105.655. Which is the fourth biggest value?  (a) 3\/7  (b) t  (c) p  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 less than 1110180390?\nAnswer: 1110180390.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*b**2 + 4*b**2 - b**2)*(-3*b + 1 + 3*b - 4*b) to i*b**3 + c*b**2 + l*b + r and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*s + 4*s - 4*s + (4 - 2 - 5)*(-13*s + s - 28*s).\nAnswer: 118*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**3 + 4*b**2 - 3*b + 3. Let k be y(4). Let q be (-10)\/(-6) + (-2)\/3. Is 17 a factor of ((-6)\/k)\/(q\/51)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3306 - -3311. Are 101\/23 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71063607.\nAnswer: 3, 23687869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -36\/51719 and -23\/8?\nAnswer: 413752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yywsswswywy. Give prob of sequence ww.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 7387 = 450538\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2\/87 + -164\/435. Suppose -2*f - 41 = w - 31, 2*w - f = -5. Sort 2, -3, w, b in ascending order.\nAnswer: w, -3, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*s - 6*s - s**2 + s**3 + 7*s in the form m*s**2 + x*s + r + q*s**3 and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3069319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the second derivative of 8*i**3\/3 - 66*i. Let l(r) = 2*r. What is d(l(v))?\nAnswer: 32*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2642?  (a) 3  (b) -2  (c) -2\/7  (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 10108, 15242, 23806, 35806, 51248?\n\"Answer: q**3 + 1709*q**2 + 8398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -44150799 != -44150796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -25*j - 316*j**3 + j - j**2 + 219*j + 318*j**3 as l*j**3 + c*j**2 + h*j + v and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i and 1 z when four letters picked without replacement from zzizzviiizvvvai?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -5*g**3 - 215*g**4 + 160*g**4 + 241 - 2*g**2 + 56*g**4 + 3*g**3 as f*g**3 + w + y*g**2 + c*g + n*g**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {b: 7, v: 2, m: 1, o: 8, e: 1}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 42\/5 of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19422 - -19424. Put -10, 0, -78, f in ascending order.\nAnswer: -78, -10, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2695138 rounded to the nearest 100000?\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hhhumhhdhjhhhhhu. Give prob of picking 1 j and 1 h.\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-9)\/3 + (-26)\/(-10). What is the nearest to -0.1 in n, 3, -0.44?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -3*c - c - 22, -5*h - 23 = 2*c. Let w(u) = -u. Let k(t) = -t**2 + 2*t. Let i(s) = -k(s) - 3*w(s). Let g(z) = 2*z**2 + z. Give c*i(o) + 3*g(o).\nAnswer: 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 6 = 2*v, 0*v - v + 15 = 2*r. Let i = v + 5. Calculate the lowest common multiple of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1202)\/(-8) + 1\/(-4). Let j(z) = 23*z + 7. Let f be j(5). Suppose -g - 3*x + l = 2*g, -3*g + 4*x + f = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 9 + 29?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + u + 117 = 0, -36 = -f - 0*f - 2*u. Suppose -525 = 12*n - 19*n. Let x = n - 69. What is the greatest common factor of x and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -2, 12, -8 in decreasing order.\nAnswer: 12, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 42*j = 47*j - 2222, -4*l - 2*j + 4460 = 0. Calculate the greatest common factor of l and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30375 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000006812 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*i - 12 = 75*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + d = 5, -3*p - d = -2*d - 9. Let l = 7 - p. Suppose -l*j = 4*b - 12, 8*j - 14 = 3*j - 3*b. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -6*i**2 + 17*i. Let w(s) = -s**2 + s + 1. Let b(y) = j(y) - 5*w(y). What are the prime factors of b(7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4315416.602 - -1.\nAnswer: 4315417.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 375426747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2332.\nAnswer: 2, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -33*r - 2044. Let n be w(-62). Solve 17 = -n*f + 3 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**2 - 3*y + 2. Let t be j(2). Suppose -2*k + 3*k = 0, 5*r - t*k = 20. Let l = r + 2. Calculate the highest common factor of 15 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 214355 and 645.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (13\/(-117))\/((-2)\/3)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.9167342cm?\nAnswer: 9167.342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*p**2 + 2055828*p + 333149112 = 0. What is p?\nAnswer: -162, 514119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -3*u - o, 5*u + 3*o - o = -38. List the prime factors of u\/8*(4 - 64).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from crdrhie.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 22*s + 2. Let j(q) = 21*q + 2. Give -4*j(b) + 3*t(b).\nAnswer: -18*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together -27281338 and -0.036.\nAnswer: -27281338.036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -21*b**4 - 2*b - 4*b + 16*b**4 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (42 - 21 - -26) + -66?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 11*k**2 + 3. Let x(m) = 12*m**2 + 4. Determine -4*b(o) + 3*x(o).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 1, 4, 0.1, 321\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -858031*l**2 - 150076*l wrt l?\nAnswer: -1716062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 106459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10246190 to the nearest integer?\nAnswer: 3201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 126879668297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2. Let a = 4 + -3. Let l(s) = -a + 1 - s - s. Determine l(c(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 3907 divide 2363773770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -129*m = -135*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6505063.67 rounded to the nearest 10000?\nAnswer: 6510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 6*i + 1. Let f be p(-1). Let g = -10504 + 10502. Let b = 1\/120 - -47\/120. What is the nearest to g in -1, b, f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -8*r**2 - 6. Suppose -11 = -5*q + 54. Let b(a) = -17*a**2 - 13. Determine q*x(j) - 6*b(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -7*g. Suppose -12*q + 8*q - 92 = 0. Let j be (-22)\/6*(1 + 5). Let u = q - j. Calculate a(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 227 + 248 = 5*a. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 121342 is divided by 68?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -972*o = -959*o + 169 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of -i**6\/160 - 13*i**5\/20 - 49*i**4\/8 - 24*i**3 - 306*i**2. Solve f(c) = 0 for c.\nAnswer: -48, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(3\/5)*y)**(15\/8)\/(y**(-8\/7)*y**(-3\/7)) assuming y is positive.\nAnswer: y**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 8*m - 5. Let j(z) = -21675634 + 6*z + 21675634. Determine l(j(t)).\nAnswer: 48*t - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j**(-4))**21\/(j*j\/(j\/j**2)*j*j*j**(-1\/20)*j))**33 assuming j is positive.\nAnswer: j**(-45507\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a\/a**(-14)))**(-30) assuming a is positive.\nAnswer: a**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (219 - 11*l - 219)*(-4*l - 3*l + 5*l)*(4 - 3 + 0)*(12 - 3 + 2).\nAnswer: 242*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*o + 268 = 36 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1*-236494226\nAnswer: -236494226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -212\/555 + -2\/111. What is the third smallest value in g, 3\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (4 + -3)*0\/(-1). Let u(y) = y**3 - y + 1. Let j be u(1). Solve c*v + j = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 4*s - 19 = b, 3*s = 3. Let a(n) = -n**2 - 6*n - 4. What is a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68 = -4*l + 2*s + 74, 6*l - 9*l + 4*s + 11 + 11 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q - 5. Let o(u) = u + 6. Let z(f) = 2*a(f) + 3*o(f). Let s be z(-4). Find the second derivative of -i**s - 5*i**4 + 10*i + 0*i**4 wrt i.\nAnswer: -72*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1 - -3. Let i = -4.048 + c. Let t = i + 0.047897. Round t to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24108, -47824, -71540, -95256, -118972?\nAnswer: -142688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4 + 3 - -12) + 4186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -5*m - 7. Calculate r(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*x - 45*x**3 + 43*x**3 - x to the form s*x**3 + g*x + t*x**2 + j and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a and 1 h when four letters picked without replacement from hhaaaaa.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -715883*-0.3.\nAnswer: 214764.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -5*r. Let p(n) be the first derivative of n**5\/60 + 3*n**2 + 13. Let f(w) be the second derivative of p(w). Give o(f(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0153 equal to 6552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.57*7778.\nAnswer: 4433.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -87.\nAnswer: -5\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of s**6\/5 - 27*s**5\/20 + 9*s**4\/4 + s**3\/2 - 9*s**2\/2 + 10*s. Factor o(q).\nAnswer: 3*(q - 3)*(q - 1)**2*(2*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 4\/155831?\nAnswer: 4\/155831","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o**2 + 554*o - 58736. Give s(145).\nAnswer: 569","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from ccccmccc?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ymyy when four letters picked without replacement from {m: 8, y: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/(8*4\/16). Solve 0 = -z - v + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*t - t + 3*t)*(-7*t + 3*t + 2*t)*(3*t + 3*t + 5*t).\nAnswer: 22*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((-5)\/((-125)\/90))\/(9\/480) is divided by 66?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - -3) + -5 + 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1*(-20)\/28 + -1. Let u be ((-36)\/(-8))\/((-3)\/1). What is the nearest to 0 in -0.2, u, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -174, -98, -20, 60, 142?\n\"Answer: t**2 + 73*t - 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -101011000 (base 2) in base 15?\nAnswer: -17e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 4*r**2 - 3. Let j(n) = -10 + 12*n**2 - 1 + 3. Let p(l) = -3*j(l) + 8*k(l). Let h(i) = i**2. Calculate h(p(b)).\nAnswer: 16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.112 + 0.112. Let d = -3.40041 + 0.39971. Let x = l - d. Round x to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41, 83, 127, 173?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.7*192.\nAnswer: 326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 697999*v**2 - 1043266 wrt v?\nAnswer: 1395998*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -2*s**2. Let r be 20\/(-70) - 228\/(-14). Let w(b) = -r + 16 - 4*b. Give c(w(y)).\nAnswer: -32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*t + 3*t - 49 = -p, p - 3*t - 51 = 0. Let c = 80 - p. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 29383 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 99695013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -336248681 greater than or equal to -336248680?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = 4*u - 15 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 4 + 1)*(-7 + 2 + 2)*(-f - 5*f + 5*f + 1 - 1 - f + (f + f - 3*f)*(4 - 2 - 1) + (-4 + 2 + 0)*(417*f + 231*f - 80*f)) in the form q*f + n and give q.\nAnswer: 6834","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (9*400\/(-288))\/((-2)\/(-8))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - (3 - 1)) + 1851 + -1832?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(5 + sqrt(208) + 1*sqrt(208) + 3))**2.\nAnswer: 512*sqrt(13) + 3584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 666 is divided by 323.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2*1 - -7)\/(22\/22)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 2\/477144969?\nAnswer: 2\/477144969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 4058 divide 426629714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.1138 + 0.1139931. What is f rounded to 6 dps?\nAnswer: 0.000193","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 48 = 5*i + 4684*o - 4686*o, -2*i = -5*o - 120 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 + -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 53430697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10578 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1824847441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 3 + 5. Let t(x) = x**3 + 2*x**2 + x + 2. Let d be t(-2). Suppose 5*p + o = 3*n - 5, 4*p - 4 = d. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.05 * -605.\nAnswer: -30.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**3 + 6*g**2 - 4*g + 5. Is q(-6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 5*h - 48, -1 = 2*h - 3*c - 5. Let w be 20\/h*4\/5. What is the first derivative of 2 - 1 - 2 + 2*r**w wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + 15 + 3 + (-265 - -222)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -12117 and -23?\nAnswer: 278691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 - 48)*98\/(-2793)*19?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Add 0.01029 and -0.9.\nAnswer: -0.88971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 times 16?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-3)\/(-6))*-1*224\/(-2856).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 33167.\nAnswer: 17, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 2*r**3 - 33*r**2 + 51*r + 22. Is l(17) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -633 = 3*o - 6*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 304070183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 530731916?\nAnswer: 2, 11, 13, 927853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of (-2)\/(-8) - 1016\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 1370*y**5 + 14*y**3 + 7*y**2 + 110*y + 7. Let m(s) = -s**5 - 2*s**3 - s**2 - 1. Let t(g) = h(g) + 7*m(g). Find the second derivative of t(i) wrt i.\nAnswer: 27260*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -4*x**2 + 7*x + 3. Let t = 16881 - 16878. Give y(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 8 = 0, -3*r - 254 = -4*i - 4*r. Let s(m) = -16*m. Let w be s(-2). Let j = i - w. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 + 160 - 78 - 78 - 7*y)*(-y - 3 + 3).\nAnswer: y**3 + 7*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3.3 + 36.3. Let z = b - 22.6. Let x = 0.3 + 0. Sort x, 5, z.\nAnswer: x, 5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1494*n + v = 1490*n + 21, 13 = -3*n + 5*v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (8\/(-14))\/(1 - (-4)\/(-7)). What is the biggest value in d, -4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11*f*k*s*t + 170*f*k*t**3 + 2*f*k*t - 3*k*s*t**3 + 161*k*s + 7*t wrt f.\nAnswer: 11*k*s*t + 170*k*t**3 + 2*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.914 + 1.014. Are v and 0.559 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 893*z - 17. Is w(3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 11 = 1. Solve 0 = 2*u + f*u + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-8) - (-1)\/4. Let p = 85 - 79. Suppose a = -n + p*n. Solve -28 + 6 = 5*k - 3*j, 2*k - 5*j + 24 = n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 5. Let b = -11 + 16. Does 2 divide (6 - b)*1*x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*b + 3*b + 2*b)*(0*b**2 - 4*b**2 + 3*b**2) + 3*b**3 + 3*b**3 - 4*b**3 - b**2 - b**3 + b**3 + 2*b**3.\nAnswer: 5*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (42\/18)\/(2\/6). Let i = -4 + d. Solve 15 = i*b + 2*b, -z - 4*b + 17 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 24 - 22. What is the tens digit of (9 + 18)\/(v\/6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 400, -0.2, -4, 5, -3\/7, -1 in decreasing order.\nAnswer: 400, 5, -0.2, -3\/7, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -2\/41, -9, 0.2, 5, 2\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3.77716, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1930, 3785, 5498, 6997, 8210?\nAnswer: 9065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2743*d - 14429 = 18487 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.111515 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/15 - (119 + 2973638\/(-25095))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 97.62 - 97.62. Which is the nearest to 4?  (a) g  (b) -5  (c) -0.1  (d) 34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 710 is divided by 102?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1037 - 1037. Which is the nearest to -3?  (a) 2\/9  (b) 44  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 5*s + 12 + 1, -6 = 3*s. Let j be b\/(3 + 13\/(-4)). List the prime factors of -58*9\/(-6) - (j + -4).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 663065437*r*w**3 + 26*r*w**2 - 1090*r - 113*w**2 + 3 wrt w?\nAnswer: 3978392622*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + -2*sqrt(2) + sqrt(2))**2*5.\nAnswer: 40*sqrt(2) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = y + 3*i, 23*y + 7372*i - 7377*i = 151 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**3 - 8*w**2 - 8*w. Let q be z(-7). Suppose 32 = -3*p - 5*r + q, 0 = -2*p + 5*r + 25. Which is smaller: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 23 and 34063?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = 4*i + 747 - 763, -3*i + 2*k + 17 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 59.7 - 349.7. Let j = l - -291. Is -30 greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the second derivative of h**6\/3 + h**5\/4 - 13*h. Factor g(j).\nAnswer: 5*j**3*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = 3*x**2 - 3*x - 2*x**2 - 3 - 3*x**2 + x**2 - 2*x**3. Let i(l) = -8*l**3 - 4*l**2 - 11*l - 11. Give -6*i(m) + 22*o(m).\nAnswer: 4*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1\/4))**(-11\/4)*(v\/v**(-2\/7))**(-20\/3))\/((v**(-3\/2)\/(v\/v**(-1)))\/(v**(-2)\/v)**(-45)) assuming v is positive.\nAnswer: v**(14629\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (1\/(-3))\/(70\/39) and 31\/84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -27 = 15*k + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 - 13*o + 14*o)*(-2 + 6 + 3).\nAnswer: 7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12 - -39. Let p = t - 11. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -141, 2\/11, -2\/3, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-63)\/(567\/(-180504))*1\/(3 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-35*18\/(-336)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Do 1\/250 and 30\/43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 797 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 6, 19, 1\/1434?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17271656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/736 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/(-14) + (-1)\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48 = -4*w - 4*n, 3*w - 5*n + 3 = 23. Let p = w - 6. Suppose p*y = -3*j + 18, -10 = j + 4*j. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -9. Let b be 1 + (a - 2) + -27. What are the prime factors of 3 - ((4 - 3) + b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7b40 (base 12) to base 15\nAnswer: 4103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4 + 0.043125.\nAnswer: 4.043125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-1)\/(-2))\/(1\/78). Let x = 11 - u. What is the common denominator of 53\/4 and 5 - 5 - 2\/x*15?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 147354 to the power of 1\/2, to the nearest integer?\nAnswer: 384","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-2) - 186\/31\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, g: 13, z: 5}. What is prob of picking 1 h and 2 z?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 9672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkbg?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 17319 - 17324. Let o(x) = -x**3 - 11*x**2 + 4*x. Let p(a) = 2*a**3 + 22*a**2 - 9*a. What is b*o(r) - 2*p(r)?\nAnswer: r**3 + 11*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*s + 3*s = 78 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 485623, 485628, 485633?\n\"Answer: 5*f + 485618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2, 62, -0.01, -0.3?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 + t - 41. Let r(p) = 8*p - 80. Let m be r(10). Determine n(m).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5b4d5 + 3c?\nAnswer: 5b511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -3*s**2 + 86*s - 33. Let b be z(26). What is the highest common divisor of b and 385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((sqrt(60) - ((sqrt(420)*-2 - sqrt(420))\/sqrt(7) - sqrt(60) - sqrt(60))) + sqrt(60))\/(1*sqrt(192)))**2 + 4.\nAnswer: 35*sqrt(5)\/2 + 709\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the third derivative of -t**7\/70 + t**5\/20 - 36*t**2. Let x(n) = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -778 - -744.6. Let u = j - -29.4. Which is the fourth biggest value?  (a) 1  (b) u  (c) 2\/5  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 373572937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -26107, -26112, -26117, -26122?\n\"Answer: -5*g - 26102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -268 + 277. What is the third derivative of 0*y**2 + 2*y + 13*y**2 - d*y**2 + 4*y**6 - 74*y**6 wrt y?\nAnswer: -8400*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45108457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5494?\nAnswer: 2, 41, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:23 PM and 1:20 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 170 minutes before 6:59 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 591, 633, 725, 885, 1131?\n\"Answer: 3*u**3 + 7*u**2 + 581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, b: 4, u: 5, w: 1}. What is prob of sequence uw?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 3*p - 516, -2*h - 6*p = -3*p + 349. Let m = h + 182. Which is smaller: 72\/5 or m?\nAnswer: 72\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(3\/7))\/p*p**(4\/9)*(p\/(p*p\/p**(-2\/5)))**(-1\/14))\/(((p*p*p\/p**(-1)*p)\/p)\/p*p\/(p\/((p\/(p*p**3))\/p)))**15 assuming p is positive.\nAnswer: p**(10063\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5.5 - 2.6. Let c = s - 2.1. Let p = c + 10.19999795. What is p rounded to seven dps?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes before 4:44 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {r: 10, u: 6, d: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 8 - 24*h - 5 to the form s + m*h and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve z**4 + 12*z**3 - 42*z**2 + 44*z - 15 = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 278*f**5 + 39229*f**4*l**2 - 38*f**2*l**2 + 22356*l**2 - 6 wrt f?\nAnswer: 16680*f**2 + 941496*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 379393759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**9)\/b*b\/(b*b**(1\/3)))\/(b**(1\/6)*(b\/b**6*b*b)\/b) assuming b is positive.\nAnswer: b**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-42))\/((-464)\/812).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = -6*k + 23. Let q be l(4). Which is the nearest to 1?  (a) q  (b) -2\/7  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w*w**(-9)*w*w)**(-2\/3) assuming w is positive.\nAnswer: w**(10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 259960 and 2154370?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -629 divided by 4.\nAnswer: -629\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*q + 14*q = -76. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 18\/9737 and -57\/2996?\nAnswer: 38948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -6*r**2 - 2 + 2. Let i(f) = 5*f**2 + 7*f**2 - 13*f**2 + 4*f**2. Calculate s(i(z)).\nAnswer: -54*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*q - 9 - 13 + 22.\nAnswer: 52*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 233 + -155. What are the prime factors of u?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -2, -0.18, 2\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9736.5 and 0.7.\nAnswer: 6815.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - m - 4. Suppose 0 = 2*p + q - 14, m*p + 4*q = 3*q + 32. Let w(k) = 3294*k**2 - 4 + 3210*k**2 - 9*k - 6503*k**2. Determine w(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 415 is divided by (-1 + 2)*((4 - 8) + 12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 342194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1842 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (3 + 0 - (30 + 2))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 263*x**3 + 7*x**2 - 3*x - 1. Let a be i(1). Calculate the highest common divisor of 126 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(264)\/(sqrt(192) - sqrt(12)) + sqrt(22) + sqrt(22) + sqrt(66)\/sqrt(3)*6)*3)\/(sqrt(160)\/(4*sqrt(20)\/sqrt(4))).\nAnswer: 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 13  (b) 9  (c) 188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10340 is divided by 35?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9 - 9 + 7*g)*(g - 2*g + 2*g)*(7*g**2 - 25*g**2 - 14*g**2).\nAnswer: -224*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -277\/848 + 5332007\/16318064. Does -1 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*j**3 + 3*j**2*o**3 + 203*j**2 + 756*j*o**3 + 29*j wrt j.\nAnswer: 18*j + 6*o**3 + 406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2*163)\/(15 + -17). Let t = -139 - m. Suppose 0 = -4*c + 28 + 36. Calculate the remainder when t is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -610584258 divided by 669?\nAnswer: -912682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in -2\/1017, -14, -2, 4, -0.2, -0.63?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 64 and 36736?\nAnswer: 36736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 10192 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, g: 1, m: 1, i: 2, k: 2, e: 1}. What is prob of sequence meki?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -48*o + 1153061 - 1153061.\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i**2\/5 + 806*i - 4032\/5 = 0.\nAnswer: -2016, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3209*i - 339*i = -57400 for i.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -197*s - 44. Let o(t) = -14*t. Calculate o(z(n)).\nAnswer: 2758*n + 616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -18*f - 21. Suppose 0*v - a + 16 = -4*v, 3 = -3*v + 3*a. Is 63 a factor of y(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17943 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 6\/(-84)*218\/(-8) and -37\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 139 + 795*c + 201 + 53 - 795*c - c**2 to w + g*c + v*c**2 and give w.\nAnswer: 393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 526 minutes before 7:48 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 PM and 6:44 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -4*f**2 - 2 - 1 - 2*f - f. Let t = -10 - -16. Suppose -4*q + 2*q + t = 0. Let c(s) = 11*s**2 + 8*s + 8. Calculate q*c(m) + 8*n(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -697*n - 8381. Give u(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of z**6\/360 + z**5\/30 - 5*z**4\/8 + z**3\/6 + z**2. Let a(j) be the first derivative of x(j). Is a(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28386889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11071 + -11069. Which is the second smallest value?  (a) l  (b) 23  (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 3*m + 3*g, 4*m + 2*g - 36 = -g. Differentiate m - 4*y**2 - 3 + 0*y**2 wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -118*r**3 + r**2 + r - 1. Let u be i(-1). Suppose 2*w - u = -3*j, -14*w = 2*j - 13*w - 77. Solve -3 = 8*p + j for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -100 - -84.8. Let y = 16 + l. Let h be (-15)\/20*(-16)\/(-66). Which is the third biggest value?  (a) -2\/3  (b) y  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 147973707 and 2408?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 45\/8 or -2\/83?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q - 1. Let m(t) = -51*t + 4. Give -2*m(v) - 6*s(v).\nAnswer: 108*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2 + 459*y - 13122. What is h(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3033 (base 4) in base 9?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -79 + 3*t + 83 + 9*t + (3 + 0 - 2)*(-4*t + 4*t - 2*t) in the form j + y*t and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -4. Suppose f*w = -2*l - 28, -3*l = 2*w - 2*l + 12. Let x(j) = 2*j**2 + j - 1. Is 14 a factor of x(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 499 - 495. Calculate the highest common divisor of b and 292.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -24*k + 11. Let g = -8824 + 8828. Give b(g).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3122322032 (base 4) to base 8\nAnswer: -3327216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*6)\/(22\/(968\/(-231)))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 776?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -37*o*u*z**2 + o*u - 20*o*z**2 - 39*o + 13*u*z**2 + 8*u - 2 wrt z?\nAnswer: -74*o*u*z - 40*o*z + 26*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -3*q**4\/5 + 29*q**3\/5 - 72*q**2\/5 + 36*q\/5 = 0.\nAnswer: 0, 2\/3, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4.0000063 - -4. What is j rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 3126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 5. Let m = -5 - -8. Which is the nearest to -0.2?  (a) k  (b) m  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 149829167*o*t - 23892*t - 188 wrt o?\nAnswer: 149829167*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 4*t = 7, z + 2 = -z - 4*t. Let c be 1 - 6\/z*2. Sort -8, 4, c in ascending order.\nAnswer: -8, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73855.\nAnswer: 5, 14771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 29.3 to 0 decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -54598, -109236, -163906, -218608, -273342, -328108?\nAnswer: -382906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the first derivative of -1\/2*j**2 + 3 + 0*j. Let a(c) be the first derivative of -7*c**2\/2 - 24. Give u(a(y)).\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -3*a + 11, -b = -2*b - 5*a + 29. Suppose -v + 0 + 4 = g, 2*g = 2*v - 4. Solve b*c = v*c - 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 103180.2 milliseconds?\nAnswer: 103180200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 71477*s**4 + 42057*s**2.\nAnswer: 1715448*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -14*i**2 + 9*i**2 - 48*i + 9*i**2.\nAnswer: 4*i*(i - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 11:49 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -190 + 205. Calculate the greatest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1908 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1365)\/5148 + 10\/55)\/((627\/(-176))\/(-19))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*(((a*a**(-1\/7)*a)\/a)\/a)\/a)\/a**(-6) assuming a is positive.\nAnswer: a**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (2*(sqrt(187) - (sqrt(187)*-3 + sqrt(187)) - sqrt(187)))\/(-5*(sqrt(11) - sqrt(11)*-2))*-1*-5.\nAnswer: -4*sqrt(17)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5)\/60 + 2*2\/12. Factor -h*c**2 - 1\/2*c - 1\/4.\nAnswer: -(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**2 - 7*y. Let a(n) = n**3 + n**2 - 5*n - 3. Let m be a(-3). Let h be r(m). Suppose -i + h = 2*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 611\/(-5499)*(-8)\/4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -o**2 - 7*o - 6. Let c be i(-5). Suppose q + 19 = 5*y - 6, -5*y + c*q = -25. Sort -3, y, 0 in descending order.\nAnswer: y, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -274180 (base 9) to base 7\nAnswer: -1264104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -380036625 - -5?\nAnswer: -380036620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) be the second derivative of m**3\/6 - m**2 + m. Let r be i(6). Suppose -r*o - 27 = -4*q - q, -5*o + q = 18. Which is smaller: o or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/184 and 82\/345.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*i + 173 = 9*j, -2*i + j = -5*i + 6074 - 6055 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i**3 + 4*i**2 - 3. Calculate the least common multiple of m(3) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 187.6055 decades in millennia?\nAnswer: 1.876055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 - 6*s + 7. Let a be u(-7). Let l = a - -15. Suppose 0 = -5*n + l + 55. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.456  (b) 0  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 14657.73m in nanometers?\nAnswer: 14657730000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (130\/(-65))\/((-6)\/4)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21 - 13. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 243 = 259 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*f + 9. Which is smaller: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -4.0207 - 519.9793. What is the second biggest value in 5\/4, -5, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -636197947*d**4 + 1026768344*d wrt d.\nAnswer: -7634375364*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32460145 divided by 5.\nAnswer: -6492029","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 7:13 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express 120 - 86*v**2 - 22 + 88*v**2 in the form c*v + p*v**2 + l and give l.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*d**2 - 459*d + 458*d - 6*d**3 - 2*d**3.\nAnswer: -8*d**3 + 13*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1 - (-156 - 2)) + 28\/7. Let u = j - -119. What are the prime factors of u?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.0942 + -4.8358. Let w = 0.07 - z. Let h = 12 - 13. Is h at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 37 + -30. Let x(q) = -q**3 + 8*q**2 - 8*q + 8. Give x(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 2, t: 2, c: 3, j: 3, h: 1, y: 1}. Give prob of picking 1 i, 1 h, 1 y, and 1 c.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 438 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8*t**6 + 4745*t**5 - 2*t**3 - 41*t**2 - 50*t + 13.\nAnswer: -960*t**3 + 284700*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {w: 4, s: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 + 8*s**2 - 8*s + 12. Let x be 1020\/(-105) - 20\/(-28). What is j(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q + 3*q**2 + q + 26*q**2.\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 0 + 1)*(4 + 3 - 5)*(-17 + 5*t**2 + 17) to the form c*t**2 + g + w*t and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in 1, -232, 3\/2, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22569?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(-3 - 1 + 5)*(-7*s - s + 0*s).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.39 - -0.01. Let h = 0.400025 - i. What is h rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*s - 21*s - 233 = 0. Let u = -163 + s. Calculate the remainder when u is divided by 70.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48943 + 98142 = 23*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2437 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Add together 2703.949226 and -0.06.\nAnswer: 2703.889226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 2324846 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {i: 2, s: 1, x: 1, r: 2, l: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -21*x + 53. Let k be w(1). What is the highest common divisor of 9224 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from {o: 4, d: 2, x: 8, k: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 22584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a**2 - 2294722*a - 2294724 = 0. What is a?\nAnswer: -1, 1147362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3*j + 1148 = 0, 2288 = 2*n - 3*j + j. Let o = n - 610. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -461 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 2.1. Let p(m) = 20*m + 3. Let x be p(7). Let i = 1285\/9 - x. What is the closest to o in 0.2, i, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/414054 and -88\/855.\nAnswer: 39335130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of 3*p**4\/4 + 12*p. Let c(q) = -q - 3. Let h(o) = 4*o + 11. Let a = 7 + -13. Let d(u) = a*h(u) - 22*c(u). Give i(d(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 170759241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -9*b + 6*b + 32, 5*z - 25 = 0. Let s be 2520\/b + (1 - 2). Suppose -1357 - s = -6*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the third derivative of -1\/1200*f**6 + 1\/240*f**4 + 0*f - 1\/300*f**5 - 2*f**2 + 0 + 1\/30*f**3. Factor k(d).\nAnswer: -(d - 1)*(d + 1)*(d + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from oyyoyooo?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2829 and -1.\nAnswer: 0.2829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 1129*w - 13559. Let u be j(12). Which is the second smallest value?  (a) 5  (b) 2  (c) -19  (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes after 1:33 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -60 - 3*y**2 + 140 - 41 - 39.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*z - 11*z = 2. Calculate the lowest common multiple of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -13568 - -30239. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 357667439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 412 a factor of 110038196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1241676470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35*p - 3550 = -3550. Let y(r) be the first derivative of 8\/5*r**5 + p*r + 0*r**4 - 29\/2*r**2 + 25 + 0*r**3. Find the second derivative of y(z) wrt z.\nAnswer: 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2512483 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17 - 13. Suppose -j*t = -3*d + 146, -154 = -5*d - 5*t + 66. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 2*p**2 - 49. Let n(o) = 5*o + 3. Let s(q) = -112*q - 66. Let a(c) = -44*n(c) - 2*s(c). Give a(l(w)).\nAnswer: 8*w**2 - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-26)\/130 + 3 + (-191)\/(-5). Solve 0 = -4*m - 21 + a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 117 + -108. What is the least common multiple of v and 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 142 and 1024.46.\nAnswer: 1166.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 31*p - 11*p + 2 - 17*p - 2*p**2 - 2*p**3. Let b(k) = -k**2 - 7*k + 6. Let o be b(-8). Let r be s(o). Put -0.4, 0.1, r in descending order.\nAnswer: r, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 - 2302920444.\nAnswer: -2302920443.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 876349275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 + 1\/3*f**3 + 5*f**2 - 106\/3*f = 0. What is f?\nAnswer: -20, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -x**9\/216 - x**5\/10 + 3*x**3 + 26. Let s(d) be the third derivative of z(d). What is the second derivative of s(j) wrt j?\nAnswer: -280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 8, g: 2, y: 1, o: 2, c: 1}. What is prob of sequence tty?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - 5*g - 8 = -0*s, 181563*s - 181567*s + 2 = g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*r**2 - 5*r**2 - 46*r**3 + 180*r**3 + (-r**3 + 0 + 0)*(-1 + 3 + 1).\nAnswer: 131*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 3*o - 4. Let c be l(3). Suppose c*z = 6*z - 1. Let a(h) = -2*h**3 - h. Give a(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -8522 and -3115 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-16)*804\/603\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 6*n + 92. Let j be a(-15). Solve -b + 2*z - 22 = j*b, 4*z - 32 = 3*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1001911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16525807, -33051614, -49577421, -66103228, -82629035?\nAnswer: -99154842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10906 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16404303.\nAnswer: 3, 17, 61, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -7a99 + -3?\nAnswer: -7aa0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 730036?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 360275 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -4*v. Let l(w) = -w + 12206. Give y(l(o)).\nAnswer: 4*o - 48824","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) be the third derivative of 39*i**7\/140 + 391*i**6\/1200 - 23*i**5\/60 - 7*i**4\/60 + 2*i**3\/15 - i**2 + 3*i. Suppose l(r) = 0. What is r?\nAnswer: -1, -2\/9, 2\/13, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1149 - -2488. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -256370 divided by -25637.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 417657295 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -b - -784a82?\nAnswer: 784a74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 241250 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:10 AM and 3:36 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 9 and 3031934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -11.6 * 71\nAnswer: -823.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8\/917 in 8, 1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**3\/13 - 36532*c**2\/13 + 1094322*c\/13 - 2954232\/13 = 0.\nAnswer: 3, 27, 18236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -15 - -3549?\nAnswer: 3534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5610 - 5595. Solve -19 + a = 5*b + u, -4 = -3*b + u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 37\/16 and -85\/11182.\nAnswer: 89456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 24 = -5*f + g, -2*f = g - 11. Suppose 2*t - p - f = 0, -2*t + 0*t = -5*p - 9. Let y(k) = -2*k**3 + 2*k**2 - 3*k + 2. Give y(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -459 + 459. Suppose 4*x + 3*s - 47 = d, 6*x - 8*x + 27 = 5*s. Which is the third biggest value?  (a) x  (b) -2\/11  (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 6 + -6.5. Let d = 18 - 16. Which is the closest to 1?  (a) s  (b) d  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**2 + 11*d - 4. Let f be s(-13). Suppose 173 = 5*n - g + 45, 3*g + 98 = 4*n. Let m = f - n. Sort 5, 4, m in descending order.\nAnswer: 5, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -96065\/31164 - 2\/2597. What is the common denominator of k and 37\/1814?\nAnswer: 10884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6*r**2*u - 42896251*r*u + 608307*u - 111 wrt r?\nAnswer: -12*r*u - 42896251*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.738 + -0.24?\nAnswer: -2.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.1543 take away -8910275.7?\nAnswer: 8910269.5457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*j - g, -3*j + 3*g + 8 = -2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 5*o + 24 = 0, -2*m + 2*o = 2*m. Suppose -15*t - m = -92. Solve -t*a - 3 = -5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.07 and -4.6.\nAnswer: -0.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -394912317 + 394912317 + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 472*q - 467*q - 25 = 0. Let z(k) = 3*k - 14. What is z(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 11*f**2 - 944*f - 170. Let o be n(86). Solve -h - 5 = o*y, 0 = -3*y - 5*h - 14 - 11 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/(-6))\/(3\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = i**2 - 4*i - 4. Suppose 2*r = -3*k + 7, 2*r = -3*k - r + 3. Let g be z(k). Let b = -1\/4 + 3\/44. What is the third biggest value in g, -5\/6, b?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 5378222541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q**2 + 37*q + 109. Determine u(-19).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 20709?\nAnswer: 3, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4 - 1 - 38\/(-2). Find the third derivative of -t*a**6 + 0*a**2 + 7*a**6 + 7*a**2 wrt a.\nAnswer: -1800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 4*v**3 - 2 + 3 - 2*v**3 + 5*v - v**3 + 10*v**2. Is k(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -12131, -11926, -11721, -11516, -11311, -11106?\n\"Answer: 205*f - 12336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j**3 - 8*j**2 + 7*j. Let h be d(7). Let v(t) = 0*t + h*t - t. Suppose -8*k + 11*k + i + 20 = 0, -4*i - 8 = 0. Give v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24462)\/(-108720)*2\/54*2?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 91430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -5, 1.1 in decreasing order.\nAnswer: 1.1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 3862 = 4*f, -2*f + 3*s - 6*s + 1932 = 0. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (20\/630)\/(88\/56 + -1)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/3)*(p**(2\/7)\/p)\/p)\/(p*p**0)**(-48))\/(p\/p**(2\/7)*p**(8\/7))**(-11\/2) assuming p is positive.\nAnswer: p**(337\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 7, -5, 1, -8 in decreasing order.\nAnswer: 7, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3951115?\nAnswer: 5, 7, 16127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 475444?\nAnswer: -1\/475444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:11 PM and 7:06 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -127 + 124. Let n(z) = z + 3. Let u be n(-7). Sort 2, u, x.\nAnswer: u, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13?  (a) 9\/7  (b) -5  (c) 7.34  (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 39\/(-3) + (-2)\/(-2). Calculate the remainder when 51\/m*4*-2 is divided by (-303)\/505 - (-186)\/10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 611590707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 2245 divided by 5?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -71 - -69. What is the fourth smallest value in 0.4, 7, q, 0.06?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 149475 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/5 equal to -147\/626?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 3*f = -13, 1 = -4*g + f - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46*s - 1 + 221*s - 34*s - 16*s - 63*s.\nAnswer: 62*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 35*j**2\/2 + 1300*j + 370.\nAnswer: 5*(j + 74)*(7*j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 8471257277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79 + 7*n - 37 - 38*n + 116.\nAnswer: -31*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttttttuttu. Give prob of sequence ut.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 227 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -29*i + 3387 - 574. What is the remainder when i is divided by 42?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 295394*r**4 + r**3 - 77336*r**2 + 735*r wrt r.\nAnswer: 7089456*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/7)*i*(i**(-13)\/i*i)\/i)\/(i**(-1\/2)*i**(4\/11)) assuming i is positive.\nAnswer: i**(-2003\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 6*l + 48. Let h(s) = -4*s - 32. What is 8*h(g) + 5*p(g)?\nAnswer: -2*g - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of 621666630971 and 23.\nAnswer: 621666630994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -31*f - 6082 + 3041 + 3041 + 126*f + 207*f**5 wrt f?\nAnswer: 4140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aoooooao. Give prob of sequence oaao.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-5 + 1 + 3 + (-4 + 4 - 2)*(-1 + 0 + 3) + 3 - 28 + 4)*(-3*z - 1 + 1) + 3*z + 4*z - z)*(0 + 0 - 2*z).\nAnswer: -168*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 4 = 4*i. Suppose -i = -2*y + 7. What is the remainder when 5 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 36 = -171. Let d = -46 + b. List the prime factors of -2*1 - (6 + d).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9 and -376.945.\nAnswer: -367.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -37*r. Let z be q(-1). Suppose 0 = -3*y - y + 3*f + 46, -2*f - 22 = -2*y. Suppose -10*l + y + z = 0. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6\/7, 13087, 4\/143, 0.2 in decreasing order.\nAnswer: 13087, 0.2, 4\/143, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 748048093*a**2 + 340*a - 929786 wrt a.\nAnswer: 1496096186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -9*n. Suppose -2*v = 4 - 0. Let h(c) = -217*c. Let i(d) = v*h(d) + 49*q(d). Let b(x) = -2*x. Determine b(i(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16098, 32736, 49376, 66018, 82662?\nAnswer: 99308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -k**2 + 0*k + 0*k + (205*k - 285*k - 489*k)*(0 + 0 - 2)*(2 - 1 + 2)*(-2*k + 3*k - 3*k).\nAnswer: -6829*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 2*b**3 - 2*b**2 + 13*b + 32. Let p be w(-5). Which is greater: -3 or p?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8313.14ng to kilograms.\nAnswer: 0.00000000831314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/2*((-96)\/(-30) - 4). Let h = -10.42 + 7. Let a = h - -0.42. What is the second smallest value in q, a, 1\/6?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17 times 0.1141\nAnswer: 1.9397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 2*w + 2)*(0*w**2 + w**2 - 2*w**2) + w**3 + w**3 - w**3 - 5*w + 5*w - w**3 + (27*w**2 - 19*w**2 + 26*w**2)*(-4*w - 6 + 6).\nAnswer: -134*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 179 = 19*q - 112 - 51 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -2374 divided by -183?\nAnswer: 2374\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 298 a factor of 34511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 474 + -430. Suppose 11*x - s = 11. What is the second smallest value in x, -5\/2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 260122822?\nAnswer: 2, 2729, 47659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.68789 to 2 decimal places.\nAnswer: 6.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*b**2 - 4*b**2 + 2*b**2 + (-102 + 47 + 58 - 19*b)*(2 - 4 + 0)*(6*b - b - 2*b) to c*b + i + z*b**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(42)\/sqrt(96) + (-1*sqrt(49))\/sqrt(7).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 410555*c**2*j**3 - 2*c**2*j + c*j**2 - 5*j**2 - 3*j - 472 wrt j.\nAnswer: 2463330*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101110101001110010 - 100?\nAnswer: -101110101001110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i. Let n(c) = -22*c - 1. Let q(k) = -106*k - 6. Let u(y) = -5*n(y) + q(y). Calculate -3*p(d) - u(d).\nAnswer: -7*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -13*d - 2. Let q(n) = 33 - 20 - n**2 - 19 + 6. What is u(q(g))?\nAnswer: 13*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*g - 2*g + 0*g)*(213 + 2*g + 209 - 352) to the form o + a*g + y*g**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 699 minutes before 4:25 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (2457 - -2) + 3*-2. Suppose -b = -9*n - 446. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Expand -h**2 - 2*h**5 + h**2 + (-1 - h**5 + 1)*(-3 - 1 - 1).\nAnswer: 3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 PM and 1:36 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -14126264*-1\nAnswer: 14126264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -o**2 - o + 2. Let h(g) be the third derivative of -g**5\/60 + g**4\/24 - g**3\/6 + 3*g**2 + 3*g. Give -2*h(r) - n(r).\nAnswer: 3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gdhdkfdkhk. Give prob of sequence dd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -14*z**2 + 4*z + 4. Let u(c) = 17*c**2 - 5*c - 5. Let n(m) = -5*p(m) - 4*u(m). Let k(a) = 40*a - 1. Determine n(k(o)).\nAnswer: 3200*o**2 - 160*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 11*x + 17. What is z(11)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/15)\/((-45)\/(-54))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(2\/7)*q\/(q\/q**9)*q**(-8)*q*q**(-4\/5))**(-41) assuming q is positive.\nAnswer: q**(-2132\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 22, 15 in decreasing order.\nAnswer: 22, 15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(847) - -4*(sqrt(847) + -3)**2) + (sqrt(847) - 5*(sqrt(847) + -1 + sqrt(847) - sqrt(847))).\nAnswer: -297*sqrt(7) + 3427","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v**2 + 2*v + 6. Determine b(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1680798 = 728*k + 1626926 for k.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -2, -1369, 7, -18.\nAnswer: -1369, -18, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 0.224762 times 0.02\nAnswer: 0.00449524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 3*u - 2*p + 3*p, 2*p + 15 = u. Let f be (-51984)\/(-360) - (-117)\/45. Calculate the greatest common divisor of u and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236517143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 11967.3 times -104.9\nAnswer: -1255369.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-46)\/(-1))\/(1 - (-68)\/(-76))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2424.4 + -2424. Put 5, o, 0.24 in decreasing order.\nAnswer: 5, o, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 - 753 = 34*s - 147 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 8 = 27*s - 25*s, s - 12 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1563062 to the power of 1\/3, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 12887*l. Let q(m) = m. Determine q(j(v)).\nAnswer: 12887*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -8. Suppose 0 = 5*v + 20, -20592 = u*z + 4*v + 5224. Round z to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 - 20*y**2 + 21*y - 8. Give n(-21).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 274 minutes after 2:33 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:18 AM and 12:13 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14000 or 2310034\/165?\nAnswer: 2310034\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*((sqrt(80) - (-1 + sqrt(80))) + 4 + ((sqrt(80) + 1 + sqrt(80))*-5 - sqrt(80)) - (-1 + 6*(1 + sqrt(80)))))**2.\nAnswer: 680*sqrt(5) + 23145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 16268263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -11347, -11470, -11593, -11716?\n\"Answer: -123*h - 11224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 10.58 equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 4*n**2 + 3*n + 2. Let q be i(5). Let k be (q - 1) + 1 + 1. What is the remainder when k\/((-3)\/(-2) + -2) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = v**2 + 15*v - 14. Let i be j(0). Let t = -37 + 26. Does 7 divide (-63 + 0 - (t - i))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.0787 - 0.0780078. What is m rounded to five decimal places?\nAnswer: 0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -10*p. Let y(b) = 4*b + 1. Let z(d) = -31*d - 6. Let k(s) = -6*y(s) - z(s). Calculate -7*k(i) - 5*r(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -155 + 158. Factor 15694 - 15694 - 12*x - 4*x**v + 16*x**2.\nAnswer: -4*x*(x - 3)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + 220 - 4305. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n - 2*y - 72 = 0, 0 = 2*n + 5*y - 43 + 7. Let v be (11\/3)\/(6\/n). Let i = 1.946 - -1.054. Which is the second smallest value?  (a) -3  (b) i  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-15)\/(-12)*(-3)\/(-505). Let g = z - -3407\/3636. Calculate the common denominator of 19\/18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 8) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 4*i - 7*i, -4*i + 286 = 2*c. Let x = c + -138. Let a(v) = 19*v**3 + v**2 - 2*v + 1. What is a(x)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/(-9)*5*3. Suppose 0 = o, -h*k - 2*o + 80 = -k. Suppose 3*z - x + k = 0, 37 = -4*z + 5*x - 8. Let n(l) = l**2 + 5*l - 4. Give n(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42906 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1300)*2 - sqrt(1300)) + sqrt(1300))*4 + sqrt(1300) - (sqrt(1300)*-2 + 1)) + -5 + -4.\nAnswer: -10 + 110*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -139 + 136. Sort -0.1, v, -8\/11 in descending order.\nAnswer: -0.1, -8\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((r*r**(1\/2))**(-30\/7))**(-3\/10))**21)**(1\/14) assuming r is positive.\nAnswer: r**(81\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 22*b - 3*b + 8721. Let v = b + 494. Solve -4*l = l + 2*w + v, -3*l + w = 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7 (base 13) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7221)\/(-48 - 35) - 2*13?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -305903.\nAnswer: -5\/305903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 5490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 2*s**3 + 3*s + 2. Let m be u(-1). Is -1 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157255 is divided by 1655.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 times 96920.7\nAnswer: 9692.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 673149346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {n: 1, a: 8, m: 11}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pw when two letters picked without replacement from pwwkiwwvvw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2 - 1377*o - 2766.\nAnswer: 3*(o - 461)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17534422 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) -2\/9  (b) -1\/6  (c) 0.00029\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*p + 20*p = 61*p + 120 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*q + 45 = 2*p, p + 3*q = 2*p + 1952 - 1967 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3425*y**2 - 6841*y**2 + 3421*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*(-10)\/(-12)*6435\/(-825).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 10\/3 of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2403113 divided by 277.\nAnswer: 2403113\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -5*w**3 - 14680*w**2 + 5*w + 14680 = 0.\nAnswer: -2936, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -577*r**2 + 831457*r + 25. What is f(1441)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68058 is divided by 96?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -6*c**2 + 215*c + 39. Let h be j(36). Solve -k = h*k + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 50*p. Let d(o) = 24*o. Determine -15*d(f) + 6*u(f).\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*t**2 + 9\/4*t**4 + 0 + 3\/2*t**5 + 3\/4*t**3 + 0*t.\nAnswer: 3*t**3*(t + 1)*(2*t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + v = 68. Let q = -3 - 3. Let n = v + q. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes after 12:37 AM?\nAnswer: 9:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 81 + -77. Suppose 0*y = 3*y + b*c - 1373, 0 = -3*y - 2*c + 1363. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31099373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1200\/(-36)*12\/(-5). Calculate the highest common divisor of m and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (76\/8)\/(7\/210). Let t(b) = w*b + 2 - 146*b - 292*b. Let a(m) = -m. What is a(t(h))?\nAnswer: 153*h - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of 0*g**2 - 5 + 0*g + 5\/4*g**4 + g**3. Find the third derivative of k(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.372304 to 1 dp.\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 c when three letters picked without replacement from {u: 5, c: 2, y: 6, e: 1, n: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 595540717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**2 - 4*v + 3. Suppose 5*y - 42 = -17. Let w be x(y). Suppose w*j - 3*j = 35. What is the greatest common divisor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3714082.\nAnswer: 2, 19, 43, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -9*v**2 + v - 3. Let i be q(-2). What is the tens digit of (-10 + 12)\/((-1)\/i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_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: What is -10375746.2 - 21?\nAnswer: -10375767.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 2*w + 4 = 0, 5*s - 5*w = -3*w + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 785 = 8*z + 713 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -200 minus -0.015691817?\nAnswer: -199.984308183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r**4\/3 + 8*r**3 + 20*r**2 + 32*r\/3 = 0. Calculate r.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -3\/6580?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -186*m**3*o**2*s + m**2*o**2 - m*o**2 - 7*m*o*s + 13*o**2*s + 2*o wrt m.\nAnswer: -1116*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 54731759699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) 43  (b) 1\/3  (c) -3.2  (d) 27  (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1404.04655 + 1404. Let i = l - -0.04659414. Round i to 6 decimal places.\nAnswer: 0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -2*i + 206, -3*z = 3*i - 4*i - 293. Calculate the remainder when z is divided by 4\/(-6) - 320\/(-12) - -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00019359 rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 361, 1221, 2655, 4657, 7221, 10341, 14011, 18225?\n\"Answer: -d**3 + 293*d**2 - 12*d + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u**2 - 83*u + 992. Determine o(-51).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -2*z + 8. Determine l(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 22311 (base 4) to base 6.\nAnswer: 3113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17267?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2573, -20423, -68835, -163091, -318473, -550263, -873743, -1304195?\n\"Answer: -2547*u**3 + u**2 - 24*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 10*x + 6*x = 135 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 162 and 23847162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3116?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-3 + sqrt(325))**2 + sqrt(13)).\nAnswer: -2004 + 174*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k**4 + 3*k**2 - 5*k + 3. Let d(v) = -11*v**4 - 7*v**2 + 10*v - 7. Let r(h) = -6*d(h) - 14*o(h). Find the second derivative of r(x) wrt x.\nAnswer: -48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -8*f**2 - 25363947*f - 241311289?\nAnswer: -16*f - 25363947","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) be the third derivative of y**5\/60 + y**4\/2 - 11*y**3\/3 - 66*y**2. Let u be t(3). Solve 3*w - 5*m + 21 = 7*w, -u = 3*w - 4*m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 times 112840?\nAnswer: 1918280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 158079.93 months in years?\nAnswer: 13173.3275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4532057 millimeters to kilometers.\nAnswer: 0.0000004532057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57913?\nAnswer: 29, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2063060305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1785 + -976. Let l = -798 + x. Suppose 0 = -5*q - 5*d, 4*d = 5*q - d - 10. Solve q - l = -5*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 24*k**2 - 4*k - 1. Let r be o(-3). Suppose x - r + 7 = 3*g, 5*x = -10. Is ((-1)\/2)\/(1\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g + 5494 - 2681 - 2726. Let q(j) = 8*j**2 + 11*j. Let a(z) = -3*z**2 - 4*z. Let d(i) = 11*a(i) + 4*q(i). Calculate w(d(m)).\nAnswer: m**2 + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -521056, -2084120, -4689226, -8336374, -13025564?\n\"Answer: -521021*g**2 - g - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -65 - -20. Let i = 7.90376 - -37.09809. Let q = i + n. What is q rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 4*a = 2, -3*z + 8*z + 8 = -2*a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7662*s**3 + 13*s**2 - s - 14.\nAnswer: 45972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 121 + 37?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffvficifcfiific. What is prob of sequence ccvi?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -45 + 12 + 15 + (9 + -4 + -7 - -8).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 37.9 - 33.9. Sort 59, -5, j in descending order.\nAnswer: 59, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 189416 to the power of 1\/2, to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d + 2*d - 4*d)*(-6*d - d + 0*d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cckkckktfc. What is prob of picking 2 c and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 5:34 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3055 + 189 = 311*d - 3287 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1500, 1523, 1592, 1731, 1964, 2315, 2808?\n\"Answer: 4*s**3 - s**2 - 2*s + 1499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -48d173 - 5?\nAnswer: -48d178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/6 of a day?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 608205 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -5164.8 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c**2 + 10*c + c - 3*c - 2 + 64*c**3 - 1. Let m be a(3). Let r = m + -388. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -5*q + 3*m - 8, -2*q - 2*m + 4 = 0. Suppose -18*i - 11 = -2*w - 17*i, w + 3*i - 23 = q. Solve -w + 3 = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1149 by -4.\nAnswer: -1149\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9807 + -1992. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 172\/5 or 1206?\nAnswer: 172\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 310*c + 0*c**3 - 310*c - 22*c**3.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -4 - -437?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in -0.056, -0.1, 4, 1, 65?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 31 + -28. Suppose 0*k - 162 = -v*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 divided by -117493?\nAnswer: -12\/117493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*t + 104*k - 51 = -52 - 197, -11 = -t + 3*k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 115602, 115600, 115598?\nAnswer: 115596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 755 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1225716 (base 8) in base 4?\nAnswer: 1102233032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1221010 - -133?\nAnswer: -1220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.4 + -1.3. Let b = x + -3.073. Let d = b + -0.0270034. What is d rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the second derivative of 77*x**5\/20 - x**3\/6 - 13*x**2 - 4*x + 1. What is the second derivative of m(g) wrt g?\nAnswer: 462*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 126 a factor of 38052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 14*p + 2. Let m be n(1). Suppose -m = -4*y, -2*u = 2*y + 2*y - 40. What is the remainder when (-3)\/5 - 168\/(-5) is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 6 = -b - 28 + 11, 2*m + 3*b + 13 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(((-2)\/(-12))\/1). Let d(t) = 4*t + 3. Let b be (21\/(-7))\/((-3)\/(-2)). Let v be d(b). Is o smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -3681*o. Let w(m) = -10*m - 4. What is w(y(j))?\nAnswer: 36810*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 176 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.71 - -0.29. Are b and 27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 times -8\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 12549818 and 1060548?\nAnswer: 75298908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 times 0.24705\nAnswer: 0.074115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 3582*r**2 - 49*r - 27. Is x(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3 + -1 + 4 + -4 + 0. Determine c, given that 2\/13*c**4 + 0 + 16\/13*c + 24\/13*c**y + 12\/13*c**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 689182 less than or equal to 689172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = 4*n + 8, 2*n + 11 = -5*q - 19. Let t be (3 + 0)*(2 + q). Is 0 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*f + 5*m - 54 + 7, -110*f - m = -111*f - 0*m - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of 2\/15*q**6 + 11\/10*q**5 - 1\/3*q**3 + 2*q**4 - 4*q**2 + 0 + 51*q. Determine w so that i(w) = 0.\nAnswer: -4, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - 2*j**2 + 2*j + 1. Let z be t(-2). Let w(o) = 7*o + 11. Let m(f) = 4*f + 6. Determine z*w(s) + 5*m(s).\nAnswer: -s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22930 and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = -5*y + 19, 72*d + 4*y + 37 = 91*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 + 2132412?\nAnswer: 2132402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -116, -207, -250, -221, -96, 149, 538, 1095?\n\"Answer: 4*v**3 - 119*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -160 + 313\/2. What is the common denominator of (17*2\/4)\/((-382)\/(-955)) and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f = -3*b - 22, -3*b = 5*f - 464 + 451 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 4*a**2 + 4*a - 8. Let f be p(2). Is 4 greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.04 + 0.04. Let b = -14.9 - -1.9. Which is smaller: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -1583*n**3 + 19*n**2 - 4*n - 4. Let c(d) = -3166*d**3 + 43*d**2 - 9*d - 9. Calculate -4*c(m) + 9*w(m).\nAnswer: -1583*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let u be 120\/(-1870) + 4\/22. Which is the closest to -0.2?  (a) -2  (b) 4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rqv when three letters picked without replacement from qrvqsrx?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1260) - 5*sqrt(1260)*-1 - 6*(sqrt(1260) - -2*sqrt(1260)))\/((sqrt(896)*2)\/(-2*sqrt(512))).\nAnswer: 144*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 301996008 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the second derivative of u**5\/4 + 5*u**4\/3 + 5*u**3\/6 - 15*u**2 + 19*u - 2. Suppose r(x) = 0. Calculate x.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -852, -855, -858, -861, -864, -867?\n\"Answer: -3*a - 849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 15*m - 2*m - 2*m**2 - m**2)*(-m - 2*m + 0*m) + 2*m**2 - m**3 - 2*m**2.\nAnswer: 8*m**3 - 39*m**2 - 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 != 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45\/30*(-3)\/(63\/2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -10.8, -0.5, -4 in decreasing order.\nAnswer: 0.5, -0.5, -4, -10.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/14  (b) 5  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3335569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 3*z**2 - 284*z + 1108. Calculate d(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/(sqrt(16)*6))**2.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -1 + 0 - 32\/2. Let g(y) = -29*y - 11. Let s(j) = -24*j - 10. Let u(i) = 5*g(i) - 6*s(i). Calculate the remainder when u(c) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -221 - -218.21. What is i rounded to one dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 2779*o + 8287. Give d(-3).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - u = 25, 3*i - 8*i + 46 = 3*u. Let s = 236 - i. Calculate the remainder when s is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r**2. Let k(u) be the first derivative of 1622*u**3\/3 + 1053. Calculate b(k(w)).\nAnswer: 2630884*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 969851 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 + 2*w**3 + 0*w**2)*(26*w**2 - 15*w**2 - 15*w**2) + (1 - 1 + w**2)*(-w + w**3 + w) + 2*w**4 - 2*w**4 + 2*w**5.\nAnswer: -5*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18 + i**4 + i + 19 + 2*i**3 + i**2 + 0*i**2 - 38 to p*i + b*i**4 + v*i**3 + a*i**2 + s and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 100819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-525)\/2310*(-12)\/(-5)*-1\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ugpdi. What is prob of sequence iid?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 3, 106.58 in decreasing order.\nAnswer: 106.58, 3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3030 by -6.\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5233 is divided by 742?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -5*c**2 - 560*c + 8125 = 0.\nAnswer: -125, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2940 divided by 4.\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-39)\/(-182)*(21\/18)\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q**2 + 74*q - 556. Calculate u(-81).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-2) - (7 - (-54)\/(-6)). Let v(a) be the second derivative of 5*a**4\/4 - a**2\/2 - 5*a. What is v(i)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2) + (sqrt(2) + -2)*3 - (sqrt(128) - (sqrt(128) + 2 + sqrt(128)))**2)*2.\nAnswer: -276 - 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 u when two letters picked without replacement from uaazaaaabgubzbuzbuuz?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -29245 + 584779\/20. Calculate the common denominator of 117\/10 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the third derivative of -w**5\/15 - w**2. Let o(r) = 2*r**2 - r + 1. Let z(p) = p**2 - p + 1. Let h(b) = -2*o(b) + 2*z(b). Determine h(u(g)).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*p**3 + 2*p**3 - p**3)*(-2*p + 20 - 20).\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 668717?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 47, 1, 3 in descending order.\nAnswer: 47, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -11b - -2?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -454?\nAnswer: -1\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1034500 is divided by 172374?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(136\/(-119)*-2*(-49)\/(-4)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3315 + 5552. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 1.7, 5\/2, -1189, -0.2 in descending order.\nAnswer: 5\/2, 1.7, 1, -0.2, -1189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 134107 and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.3 - 159.7. Let t = 353869070.000129 + -353869232. Let d = q - t. What is d rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 - 4) + (-658)\/(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 1961, 2781, 3715, 4757, 5901, 7141, 8471, 9885?\n\"Answer: -z**3 + 63*z**2 + 638*z + 1261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of 653*j**7\/105 + 1069*j**4\/12 + 1443*j**2. Find the second derivative of l(z) wrt z.\nAnswer: 15672*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 831715752 and 2.\nAnswer: 831715752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2356483964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 - 3*b + 0 - 2*b - 4*b + 4*b - 172*b + 119*b + 113*b + 3*b + 2*b - 3*b - b + 0*b + 0*b + (0*b - 3*b + 4*b)*(-1 - 1 + 4).\nAnswer: 58*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x + x - 38. Let d be (-10)\/(-1)*15\/(-10). Let u = d - x. Solve -3*r + t - 3 = 0, u - 15 = 4*r + t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.4, -0.4, -40?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 5*d + 1. Suppose 53*u - 50*u = 5*t + 30, -5*u = -3*t - 34. Let j(n) = 9*n + 2. Determine t*j(h) + 5*w(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8 + -6. Suppose 0 = -2*v + n + 11, -h*v - n + 4 = v. Suppose -v*u - 3*j - 14 = j, -4*u + 28 = -4*j. Solve u*y = -0*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 197 + -3?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(0 + sqrt(1053)) - sqrt(1053)) + -1 + -1)**2.\nAnswer: -180*sqrt(13) + 26329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1406 + 3176. Calculate the common denominator of 23\/5 and (1\/(-12))\/(20\/v).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2933 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.12 + 0.12. Let t = 455.094 - 447.093848. Let k = t + i. What is k rounded to 5 decimal places?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 1 y when three letters picked without replacement from {f: 1, b: 1, d: 2, l: 2, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 878579.6 millennia?\nAnswer: 8785796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 613872?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -42*b - 4*b + 10115400. What is b rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 182, 435, 688, 941?\nAnswer: 1194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*t + 180 = 10*t, 56*g + 2*t = 52*g - 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(88)*-3 - (2*sqrt(88) - sqrt(88))*5)\/(2*sqrt(32)*-3).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 3*m**5 - 4005*m**4 + 1966149*m**3 - 420491307*m**2 + 33229458360*m - 32810929200 = 0.\nAnswer: 1, 252, 415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z - 3 = 1. Let u be (-16)\/8*(2 + z). Let s(i) = i**2 - 2*i - 3. What is s(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -5*n + 1. Suppose -4 = 4*p + 4. What is c(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**3\/4 - 2*t**2 - 41*t\/4 + 15\/2.\nAnswer: (t - 5)*(t + 3)*(3*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 27758 is divided by 9221?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2 + sqrt(17))*-5)**2 + sqrt(136)\/sqrt(72))*-3.\nAnswer: -1575 - 301*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 179230.8 and -2.118929.\nAnswer: 179228.681071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -153781 (base 10) in base 2?\nAnswer: -100101100010110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -10*h + 4. Let n(l) = 2*l + 9*l - 1 - 4. Give -4*n(k) - 5*v(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 551172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 11538*f + 3 + 11541*f + 0.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 7369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 108*p**2 + 1405*p + 12. Let h be t(-13). Put 1, h, 223 in increasing order.\nAnswer: h, 1, 223","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.1010612118229 and 2.\nAnswer: 1.8989387881771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6) + sqrt(192)\/sqrt(8) + sqrt(6) - sqrt(24)\/(sqrt(12)\/sqrt(3)))\/(-2*(sqrt(2) - 6*sqrt(50))).\nAnswer: 3*sqrt(3)\/58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 b when four letters picked without replacement from {b: 5, a: 3, f: 1}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -z - 18, z - 2*p + 8 = -0*z. Suppose -q + z*q - 5 = 4*v, 1 = 5*q + 4*v. Solve b = -5*c - 17, b + q = -1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -i**3 + 9*i**2 + 9*i + 11. Let a = -74 - -74. Suppose 18*c - 17*c - 10 = a. Give z(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -2*s**2 + 13*s - 5. Suppose -f = 3*v - 6*f - 30, -3*f = 3*v - 6. Let q be r(v). Calculate the greatest common factor of 40 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (sqrt(2401)*1*2 + sqrt(2401))\/(sqrt(70)\/(sqrt(250) + 1*sqrt(250))).\nAnswer: -4 + 210*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2552.204777 rounded to 0 dps?\nAnswer: 2552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003063 rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-42))\/(((-142)\/355)\/(9\/(-10)))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -139.8 from -1.5.\nAnswer: 138.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12309 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - 13*l**2 - 12*l - 12. Suppose -12 = -97*y + 98*y. Determine n(y).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i - 4*t + 8 = 11*i, -2*i = -t - 8. Suppose z - 4 = 3*v, -2*v + 0*v = z + 1. Let d = i - z. Solve 3 + 3 = d*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 5*b + 31342 - 100357, -55215 = -4*b - 3*j. Round b to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b - 4*b + b)*(0*b + 0*b - 2*b) + b**2 + 2*b**2 - 4*b**2 - 2 - 2*b**2 + 2 + 0*b**2 + b**2 + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 68298.76 grams to nanograms.\nAnswer: 68298760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 17*v**2. Let z(x) = -23*x**2 + 0*x**2 + 58*x**2. Give -5*o(j) + 2*z(j).\nAnswer: -15*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 12684?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.6751103 litres?\nAnswer: 675.1103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0 + ((-15)\/35 - ((-159)\/(-21) - 2))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 598*a + 3. Let x be z(-1). Let g be -1 + x\/(-55) - (-4)\/22. Suppose -l - 2*i = 130 + g, -270 = 2*l - i. Round l to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((1254\/120)\/19)\/(2\/(-16)) - -5. Put -2\/11, 2, 1, -0.01, l in ascending order.\nAnswer: -2\/11, -0.01, l, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2684569 + 13126*i - 2695616 + 425*i wrt i?\nAnswer: 13551","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/7, 0.2, 2, -3\/4, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60 and 520.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r - 5. Let w be p(8). Let l = -8 - w. Find the second derivative of i + 20*i**2 + i - 5*i**l - 20*i**2 wrt i.\nAnswer: -100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 677 is divided by 329?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c**5\/11 - 90*c**4\/11 + 894*c**3\/11 - 322*c**2 + 5904*c\/11 - 288 = 0. What is c?\nAnswer: 1, 3, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 26981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, b: 1, n: 1, a: 1}. Give prob of sequence ns.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*y - 7292 = 446*y + 3145 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -15*t**2 - 5*t - 5. Suppose -22*g - 15*g = -47*g - 10. Give v(g).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2290?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 658394 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 14097174 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: Factor 2*u**2\/15 + 442544*u\/15 - 295032\/5.\nAnswer: 2*(u - 2)*(u + 221274)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 616 - 621. Let n(h) = 505*h**3 + h**2 - 81. Let o(j) = 336*j**3 + j**2 - 54. Let l(m) = q*n(m) + 7*o(m). Find the third derivative of l(w) wrt w.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/(-2))\/((-3)\/(-21)). Let j(k) = d*k - 45 + 45. Let v(i) = 4*i. What is 6*j(m) - 10*v(m)?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -111\/195712 and 59\/8?\nAnswer: 195712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 + 9*n - 1342. Let b be l(-43). Solve 0 = -42*k + 22*k - b for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*m - 20178 = 236*m - 158*m for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 2*x**2 + 8*x - 8. Give d(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/9 + 7*(-15)\/450?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -6*l - 14. Give i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 123\/9 - (-2)\/(-3). Solve 3*v = -5*u - g, v - u + 6*u = -11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(3 + (sqrt(288) + -2 - sqrt(288)))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1629.515097 seconds to weeks.\nAnswer: 0.0026943040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -82, -303, -676, -1207, -1902?\nAnswer: -2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m**3 - 12*m**2 - 9*m. Let g(b) = -1 - 5*b**2 - 6*b**2 + 0*b**3 - 12*b**3 - 9*b + 9*b**3. Let n(w) = 2*c(w) - 3*g(w). Factor n(d).\nAnswer: 3*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001010010100010 (base 2) to base 9.\nAnswer: -57167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -4, 1, 13, 3 in increasing order.\nAnswer: -4, 0, 1, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**2\/(d*d**(-1\/4)*d*d))\/(d**(-6)\/d*d**(-1\/3)))\/((d**2*d)**(-9\/10)*d\/(d\/d**(-1))*d**(-2\/5)) assuming d is positive.\nAnswer: d**(641\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -639.1419 - 0.5581. What is o rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1049724 and 253188.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**2 - 9. Let b = -1 - 1. Let p(d) = -1. Calculate b*t(g) + 18*p(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102*u = 98*u. Solve -5*g + 8*g - 6 = u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -403\/1773 + 1\/197. Suppose 16*h - 6 = 14*h. Suppose 0 = 2*x + 3*l - l - 6, 17 = h*x + 5*l. What is the third biggest value in g, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, s: 1, i: 2, q: 4, a: 2}. Give prob of sequence mq.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 f when two letters picked without replacement from xefjfkkqkekjjfkej.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hfffbfhfhfffbkhf. What is prob of sequence ffb?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xfyfxxfybfyfyyxxff?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 5*t**2 + 134*t - 939. Determine p(7).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from hyuqbqquhbys.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 100 less than 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 6676.\nAnswer: -1\/3338","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -445 = -67*k + 556 - 331 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the third derivative of s**4\/24 + s**3\/2 - 23*s**2. Let l be d(4). Suppose l*t = 12*t - 1975. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 + 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -3*z + 2*z. Suppose -q = -b - 5, -z*q - b - 37 = -7*q. What is the lowest common multiple of q and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000353814467 to 7 dps.\nAnswer: -0.0000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x and 1 y when three letters picked without replacement from zxxzaayagzauuygy?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12101102201 + 12?\nAnswer: -12101102112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-3 + (-1 + sqrt(300)*1 + -1 - (sqrt(300) + -1 + 4 + sqrt(300) + sqrt(300) + 2*sqrt(300) + 5 + sqrt(300)))*-5)**2.\nAnswer: 70500*sqrt(3) + 569127","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 76127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -66 + 66 - 71*z**3 + (7 + 13 - 14)*(2*z**3 + 2 - 9 - z**3).\nAnswer: -65*z**3 - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jeeejee. What is prob of sequence je?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2\/155 - -113\/3255. Let m = q - -2\/21. Let w(h) = 29*h + 118. Let u be w(-4). Is m bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -10 + 10. Suppose -4*r - w + 158 = 0, r + o = -w + 38. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = w**3 - 3*w**2 - 5*w + 66. Determine u(6).\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -4*u. Suppose u = -3*p - 0*p + 12. Suppose -p*l + 55800000 = -l. Round l to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 4, 1400 in decreasing order.\nAnswer: 1400, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -5679 (base 14) in base 9?\nAnswer: -22520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 0*j + 3 - 13*j.\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 14 = -2*w, w - 6*w + 60 = -5*i. Suppose 3*p - o - 16 = 0, 2*p + 3*p - w = 5*o. Calculate the highest common factor of 56 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-32)\/k*k**(3\/23)\/k)\/((((k*k**(-11))\/k)\/k)\/k**8))**(7\/9) assuming k is positive.\nAnswer: k**(-2233\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3161*l - 3157*l = -20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 28043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 97 = r, 2*r = 12 - 8. Let z = 291 - u. Suppose z + 312 = 3*x. 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: Evaluate (31\/(930\/(-45)))\/((-6)\/(-16)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -5*r**4 - 96305*r**3 - 2114*r**2 - 60*r + 1.\nAnswer: -120*r - 577830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 236 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14*f**3 - 6*f**3 - 2*f**3)*(-17*f - 3 - 17*f - 33*f) to the form q*f**3 + s*f**4 + c*f**2 + m + n*f and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -5*n**3 + 8*n**2 - 3*n - 13. Let j(d) = 8*d**3 - 11*d**2 + 4*d + 19. Determine -7*c(m) - 5*j(m).\nAnswer: -5*m**3 - m**2 + m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -7200231.5 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/2))**36\/((q*q**(-1\/4)*q)\/q)**37*q**6\/q*q**(-7)*q\/(q**(4\/3)*q)*q**(4\/7)\/q assuming q is positive.\nAnswer: q**(-4159\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwb when three letters picked without replacement from bwwwwwwbbbwwbwwwwwww?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of 1\/40*t**5 - 1\/6*t**3 + 0 + 0*t - 1\/48*t**4 - 3*t**2. Solve r(g) = 0 for g.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 24325704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 106828 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 101 or 1003\/10?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135 = 14*f + 23 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000008146 rounded to six dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -4*u + 1. Let o be 1\/3 - 444\/36. Let c be l(o). Suppose 5*p - 41 = c. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 60*t - 5451. What is r(91)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 62.9201 to 0 dps.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -37 + 21.2. Let w = h + 12.8. Let y = -6 + 8. Sort y, 3, w.\nAnswer: w, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 428590 to the power of 1\/2, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, l: 9, t: 4}. Give prob of picking 2 l.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**2. Let a(k) = 4823*k. Give a(i(w)).\nAnswer: -4823*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 36\/5  (b) 1\/6  (c) 0.227  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 6 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14832653 to the nearest integer?\nAnswer: 3851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.1 - -0.26. Let t = q + -6.16. Let z = -6.3 - t. What is the second biggest value in -4, z, -1\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1476*z - 7699 + 7699 in the form u*z + c and give u.\nAnswer: -1476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0930951 plus -0.5?\nAnswer: -0.4069049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 765908 + 1811376. Let x = a - 1607284. What is x rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**4\/19 - 68*l**3\/19 - 738*l**2\/19 - 2632*l\/19 - 1960\/19 = 0 for l.\nAnswer: -14, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -173, -346, -517, -686, -853?\n\"Answer: j**2 - 176*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6232 and 257849?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*h + 1\/2*h**2 + 49\/2.\nAnswer: (h - 49)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -12 + 18 - (20 + -6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -1343?\nAnswer: 1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-5)\/3 + 3 - 1)*-33. Let s = f + 14. Solve 0 = -s*t - 5 - 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(19) + (sqrt(19) - sqrt(76)\/sqrt(4)) - sqrt(19)) + 0 + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**4\/(o\/(o*o\/o**(1\/7))) assuming o is positive.\nAnswer: o**(34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 10:17 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 2*k)*(-443 + 294 + 226)*(-12 + 2 - 4).\nAnswer: -2156*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the first derivative of -31*k**2 - 8*k + 1. Find the first derivative of l(v) wrt v.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -31048 by -2267.\nAnswer: 31048\/2267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2019.\nAnswer: 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*m**2 + m**3 + 3*m**2 - 7*m + 8*m as l*m**3 + i*m**2 + f + r*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = -470*q + 3152. Give f(8).\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -22043?  (a) 2\/5  (b) -2  (c) 37  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express 20*c**2 - 8*c**2 + 8*c**2 as j + d*c + p*c**2 and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 179*z**3 - 180*z**3 + 3*z - 17 + 0 to the form h*z**2 + w*z**3 + d*z + p and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 56 minutes before 4:53 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.04 + -7363.\nAnswer: -7363.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1734 and 531386.\nAnswer: 27100686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(686) - -1*sqrt(686)) + sqrt(686) + sqrt(686) - sqrt(686))\/(sqrt(504)\/sqrt(8)) + 1 + 3 + (-1*sqrt(128))**2.\nAnswer: 7*sqrt(2) + 132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1525)\/(-366) - (-3)\/(-18). Let s(z) be the third derivative of 0*z + 81\/8*z**3 + 18*z**2 + 1\/80*z**5 - 9\/16*z**w + 0. Solve s(k) = 0 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 minus -0.0713561117557?\nAnswer: -1.9286438882443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*b + 15*b - 6*b)*(-2*b + 3*b - 3*b) - 41*b**2 + 112*b**2 + 85*b**2.\nAnswer: 150*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -12. Let q(y) = -25*y + 2. Let a be q(-3). Calculate the greatest common factor of a and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) be the second derivative of -2*f**6\/15 - 13*f**5\/20 + 7*f**4\/4 + 19*f**3\/3 + 4*f**2 - 5*f - 135. Solve l(t) = 0 for t.\nAnswer: -4, -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -38.2 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -713*t**2 - 218 - 527*t**2 + 218.\nAnswer: -1240*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001110101111 (base 2) to base 7.\nAnswer: -20456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**3 - 14*t**2 - 5. Let u be q(-14). Let m = -65 + 68. Suppose 0*h + 3*z = 2*h - 1, -2*h = -5*z - m. Put u, 0, h in increasing order.\nAnswer: u, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 5*o + 11, 0*a - 3 = o + a. Is o at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -5*d**2\/6 - 310*d\/3 - 9610\/3 = 0.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/5 - (-454)\/5. Suppose 0 = 3*r - a - 6. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u + 12*u + 3*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 99443 and 1795.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -79 = -3*s + 2*t, t + 74 = 3*s - 0*s. Let o = 35 - s. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 - 25*n + 31. Is y(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express ((4 + 0 - 5)*(-2 + 1 + 0) - 3 + 0 + 5 - 32 + 9 - 12 - 22)*((-2 + 2*p + 2)*(3 + 0 - 5) - 9*p - 11*p - 12*p) in the form h*p + l and give h.\nAnswer: 1944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 587 + -1421.2. Round d to the nearest ten.\nAnswer: -830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 6*t - 1. Let a be m(1). Let y(k) = -1280001*k + 5. Let b be y(a). Round b to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3.5 in 1\/9, -691, 0, 164?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**3 - 4*h**2 - 74*h + 11. What is m(-7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(3\/4)*c**(-2)*c*c**(1\/7)*c**(-1))**8 assuming c is positive.\nAnswer: c**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(2057) - -6*-1*sqrt(2057)) + (2 + sqrt(2057))**2*-3)*3.\nAnswer: -92745 - 2805*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:27 AM and 1:05 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 85 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1423752.\nAnswer: 2, 3, 11, 5393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r**5\/4 + 3*r**4\/4 - 105*r**3\/4 - 375*r**2\/4 - 219*r\/2 - 42 = 0.\nAnswer: -4, -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 k when two letters picked without replacement from knnkf.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-16 + 11 - 1)*(-y**2 + 2*y**2 + y**2) + (-y + 2 - 2)*(-3*y + 0*y + 5*y) - 5*y**2 - 2*y**2 + 2*y**2)*(-1 - y**2 + 1) + y - 2*y**4 - y.\nAnswer: 17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -383.0201 - 0.8799. What is i rounded to the nearest 10?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -38 + 82*f - 11*f + 0*f**2 - 8*f**2 + f**2 + 5*f**2 to b*f**2 + j + v*f and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -858, -3474, -7966, -14442, -23010, -33778, -46854, -62346?\n\"Answer: -18*p**3 - 830*p**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 11*r + 792. What are the prime factors of m(-70)?\nAnswer: 2, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 49 (base 12) to base 14.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -62415.81 rounded to the nearest one thousand?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((1*sqrt(64))\/sqrt(8) - sqrt(8))\/(sqrt(8)\/sqrt(2)*2))**2 + sqrt(512) + 0 + (sqrt(2)*-2 + 0 - sqrt(2))*-6.\nAnswer: 34*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 105 and 2673230.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 329315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -4075, -5, -101 in increasing order.\nAnswer: -4075, -101, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -i**4 + 7*i**3\/4 + 23*i**2\/2 - 37*i\/4 - 3 = 0.\nAnswer: -3, -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = -4*b. Let o(m) = -6*m. Suppose 0 = 2*s + v - 9, -s - 3*s - 5*v + 21 = 0. What is s*o(d) - 5*u(d)?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 552 and 10212?\nAnswer: 20424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8669*f - 17347*f - f**2 + 194*f**3 + 74*f**3 + 8678*f + 3*f**3.\nAnswer: 271*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 7:54 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 504 minutes after 7:38 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00194428584 rounded to seven decimal places?\nAnswer: -0.0019443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {j: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 1.31 + -1.01. Let i = 0 - 0.1. Which is the nearest to 1\/4?  (a) -4  (b) i  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 164.7384 take away 0.2?\nAnswer: 164.5384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is f in 2*f**2\/9 + 1234300*f\/9 - 411434\/3 = 0?\nAnswer: -617151, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 28 = 4*c, 2*c - l = 2*l - 11. Suppose c*o = 5*o - 15. Solve 4*z + z = o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -171*z + 136 - 1675 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4\/9?  (a) 22  (b) 0.4  (c) 50  (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 509901?\nAnswer: 3, 7, 24281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 + 130?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7791 and 441.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 472588 and -2?\nAnswer: 472590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/11  (b) 0  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence klhl when four letters picked without replacement from lktqlkhe.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxftxtxxfxxx.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -65 times -162634\nAnswer: 10571210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -p**3 - 13*p**2 - 3*p - 35. Suppose -15*k - 104 = -7*k. Let t be y(k). Solve 0 = -t*g - 3*q - 15, q = -5*g - 3*q - 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -2*t - 5*t**3 + t**3 + 3*t**3 + 3*t**2. Suppose 97*w = 11 - 101 + 9 - 113. Let s(v) = -v**2. Give w*p(z) - 6*s(z).\nAnswer: 2*z**3 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -17\/3?  (a) -2  (b) 18  (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3*-2 + (17494\/(-2916) - -12). Let m be 29\/81*(-331)\/9. Let t = v + m. Find the common denominator of -29\/3 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_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 349748.871 - 0.2?\nAnswer: 349748.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-4)\/14 - (-144)\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 37577682 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -6*a**2 - 2*a + 6. Let r be y(-3). Suppose 299 = 3*j + 4*t, j - 53 = t + 56. Let x = r + j. What is the greatest common factor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75*t = -57 - 18. Sort t, -4, -10, -2 in decreasing order.\nAnswer: t, -2, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 245 + -244. Solve -4*o = 4*x - f - 3, -4*x + 28 = -2*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 24203315 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -4929.00347 less than -8?\nAnswer: 4921.00347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2387, -2385, -2381, -2375, -2367, -2357, -2345?\nAnswer: -2331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(13\/2)*b\/(b*b**(6\/11)))\/((b*b\/(b\/((b**10\/b)\/b))*b)\/b**(2\/47)) assuming b is positive.\nAnswer: b**(-16547\/1034)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/((-5400)\/16))\/(76\/(-513)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5*(21 + 453912\/120). Calculate the greatest common factor of d and 148.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 3 + 0)*((-2*v + 1 - 1)*(2*v - 4*v + v) - 27*v**2 - 22*v**2 - 11*v**2).\nAnswer: 116*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(405) - (sqrt(405) + sqrt(405)*-3))*-5.\nAnswer: -135*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 - -36. Let q be 4\/a - (-145)\/7. Let x = -5 + 10. Solve -5*o + 4*m - q = m, m - 17 = x*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8 and 1895556?\nAnswer: 3791112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put 435, 0, 26, 15 in descending order.\nAnswer: 435, 26, 15, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w = 11*w - 240. Let c = -6 + w. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*f + 19*f - 4*f + 62*u - 335, -25 = -4*f - u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 202220 is divided by 13356?\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 6*(24\/(-9) - (-9)\/3). Suppose 0 = -3*r - 4*d + 4, -3*r - 3*d + y = -1. Which is the third smallest value?  (a) 26  (b) r  (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 263039 and 2385.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 5 + 28*u**2 - 4 as i + f*u + k*u**2 and give k.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of 0 + 5\/4*t**4 + 28*t + 0*t**2 - 5\/2*t**3. Find the second derivative of w(k) wrt k.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 8*v + 170. Suppose 0*c + 15 = 3*c, -5*c + v = 3*n. Solve -5*a + n = -7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.4697366cm to millimeters.\nAnswer: 4.697366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-26) + 100\/(-26). Let l = -10 - i. Let s be l\/((-48)\/(-70))*-4. Calculate the highest common factor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + ((sqrt(36) - (2*sqrt(72))\/sqrt(2))\/((sqrt(36) - sqrt(900))\/sqrt(3)) + (-1*sqrt(300) - sqrt(300))\/(sqrt(4)*2*-4 - sqrt(4)))**2.\nAnswer: 1105\/432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -n**2. Let t(k) = -111*k**2 - 6*k + 8. Let i(b) = 3*b - 4. Let h(o) = -2*i(o) - t(o). What is h(l(r))?\nAnswer: 111*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4939 + 7362. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31 a factor of 403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3410400 and 64960?\nAnswer: 6820800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = z**2. Let x(t) = 5*t**2 - 2*t + 2. Let o(m) = 51*m**2 - 21*m + 21. Let n(d) = 2*o(d) - 21*x(d). Determine u(n(b)).\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 267 + -264. Sort s, 7, 0, 4 in descending order.\nAnswer: 7, 4, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(72)\/sqrt(4))**2 + sqrt(2) - (sqrt(2)*-2 + sqrt(2) + -5).\nAnswer: 2*sqrt(2) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1 - (31\/3 + 10\/(-30)). Let u(p) = -21*p**3 - 6*p**2 - 3*p. Let x(q) = -2*q**3 - q**2 - q. Let w(z) = r*x(z) + u(z). Suppose w(b) = 0. What is b?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 8. Suppose 5*c + 20 - 45 = 0. Solve q = c*i + 1 + 9, -2*i + k = q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*q**3 + 5*q**3 + 3*q**4 + (8 + 30 - 9)*(-16*q**4 + 2*q**4 - q**4).\nAnswer: -432*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 9403 - 9403 - 1343*y in the form s*y + f and give s.\nAnswer: -1343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (414\/26 - 16) + (24\/16)\/((-156)\/6544)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(3\/2)*(p*p\/(p\/p**(-1\/3))*p)\/p)**(2\/7)\/((p\/(p*(p**(-1)\/p)\/p))\/p**3*p**(-4)*p*p**3*p) assuming p is positive.\nAnswer: p**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 6181909 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.6 + 4. Let d = 86.7 - 86.7. What is the second smallest value in y, -5, d, -0.08?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-7 - (-6 + -5))*(721\/(-182) - -4). Let p = -1 - -1.1. Let d = -0.5 + p. What is the second smallest value in r, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7020156989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 29\/3, 18, -0.08, 0.9, 1.\nAnswer: -0.08, 0.5, 0.9, 1, 29\/3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 40\/418407 or 12\/7?\nAnswer: 40\/418407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Product of -395200 and 0.842.\nAnswer: -332758.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 4*h = l - 4, -h = -3*l + 13. Suppose 2*f + f - l = 0. What is the highest common divisor of f and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p**3 + 0*p**3 + p**3)*(0 + 2*p + 0)*(-3 + 3 - 1) - 2 + 3*p**4 + 2 + (9*p**3 + 9 - 9)*(0 - 2*p + 0) + 8*p**4 - 3*p**4 + 4*p**4.\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*w - 5*w - 20 = 0. Suppose -w*n + 2*n + 36 = 0. Solve n = -0*g - 4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = m - 2. Let o(d) = 6*d - 4 + 2 - 1. Let b(s) = 11*s - 7. Let p(w) = 3*b(w) - 5*o(w). Give -17*l(r) + 6*p(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8912854 + -1477874. Suppose -13*n = 5*u - 8*n + l, 0 = -4*n + 16. Round u to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggggggggg. What is prob of picking 2 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0684015 to four dps.\nAnswer: -0.0684","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 + 8*v + 25. Let m = -60 + 70. Let n be q(m). Suppose -158 - 281 = -i + 2*c, -n*i + 2255 = 2*c. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*n, 2*w - 3*n - 4 = 3. Let l be (-4)\/16*-2*w. Suppose 5*z + 5*q = 105, 5*z - 3*q = 4*z + l. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67788, 68480, 69172?\nAnswer: 69864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1 + 1110101101000110111?\nAnswer: 1110101101000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6060034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + 8. Calculate the remainder when 33 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 35815, 37882, 39945, 42004, 44059?\n\"Answer: -2*z**2 + 2073*z + 33744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 57b2 (base 15) to base 12\nAnswer: a935","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -98800 to the nearest 1000.\nAnswer: -99000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 388718.4 nanometers in millimeters?\nAnswer: 0.3887184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -223 - 5 = 6*a. What is the common denominator of a and 101\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -144 + 79. Let z = f - -62.93. What is z rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -c08e46 + -19?\nAnswer: -c08e5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t - 25 - 2 = 0. Let p = t + 13. Suppose 30 = p*v + v + 5*u, 0 = -4*u - 4. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 - 3 = -6*p. Suppose -4*u + r = -25, 3*u + p*r - 30 = 5*r. Suppose 0 = 3*b + q - 156, -5*b - u*q = -183 - 77. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**3 + 13*n**2 - 18*n + 109. Let k be c(11). Which is greater: 155 or k?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 185076 is divided by 2124.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 2*a**3 + 4*a**2 - 38*a - 28. Let x(p) = 2*p**3 + p**2 - 38*p - 28. Let c(l) = -4*x(l) + 3*y(l). Factor c(k).\nAnswer: -2*(k - 7)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*u + 24 - 9 - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*u**2 - u + 0*u + 2*u + 33*u**5 + 16*u**5 wrt u.\nAnswer: 2940*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -846\/16283?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -4*g, 21 = -10*z + 5*z - 3*g. Put -0.3, 0.1, 2, z in decreasing order.\nAnswer: 2, 0.1, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -111*j + 4626 - 4182 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 6 + 0 = 0. Let t = -54 + 82. Let q = t + -55\/2. Which is the closest to u?  (a) -2\/3  (b) q  (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/12 and -40\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = 2*d + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) 0  (b) -27.52  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3359 is divided by 1230?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 4*s = -6. Sort 1, s, 5, -8 in decreasing order.\nAnswer: 5, s, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 140067457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**0\/(c*c\/(c**13\/c)) assuming c is positive.\nAnswer: c**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (1 - (3 + 4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/10)\/c)\/(((c\/(c**(-2\/27)*c))\/c)\/c))\/(c**(-5\/6)*(c\/(c\/c**(-6)))\/c) assuming c is positive.\nAnswer: c**(1196\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - -6. Suppose 2*b + o - 253 = -2*o, o + 471 = 4*b. Suppose 15 = -5*p, p - b = -5*f - p. Calculate the remainder when f is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28 = -8*v - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -351*h**4 + 3887*h**3 - 2*h**2 + 4926889.\nAnswer: -1404*h**3 + 11661*h**2 - 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -138, -131, -110, -69, -2?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l - 4*h = 12, -23 = -4*l - 5*h + 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -25 - -28. Suppose -p*o + 12 = o. Let a(z) = z**3 - 3*z**2 + 3*z - 3. List the prime factors of a(o).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cwwc when four letters picked without replacement from cccccccccwwccwc.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 7541 at least -3491?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1836001, -3672109, -5508217, -7344325?\n\"Answer: -1836108*q + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 60 - 79 = -4*j, 4*g - 21 = -j. Let o(d) = 2*d**2 + 3. Let z(t) = -t + 1. What is j*o(f) - 5*z(f)?\nAnswer: 2*f**2 + 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3 - -4) + -8 + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 1, h: 1, s: 4, g: 5}. Give prob of picking 2 g and 2 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3626 divided by -5\nAnswer: 3626\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 - 2*n - 2. Calculate the remainder when 62 is divided by y(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes after 5:24 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of -l**6\/120 - l**5\/12 + l**4\/4 + l**3 + 15*l**2 - 22*l + 8. Let d = -1 - 3. Let p be d - 4\/(-1 - -3). Determine u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = 2*w**2 + w - 51. Let h be a(8). Suppose -f + 88 - h = 0. Calculate the remainder when 8 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63988 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 (468\/(-45))\/(((-18)\/(-15))\/3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 341617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) be the second derivative of m**5\/20 - m**4\/3 - 11*m**3\/6 - m**2\/2 + 132*m. What is z(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in seventy-five eighths of a microsecond?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/(-6) - (7 - (-7635)\/(-18))?\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3 + 1)\/2*-4. Let l(b) = 3*b**3 - 4*b**2 + 1. Let s(j) = 5*j**3 - 7*j**2 + 2. Let y(c) = q*s(c) - 7*l(c). Find the first derivative of y(w) wrt w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = d + 1. Let j be l(-9). Let g be (1\/j)\/((-2)\/(-4)). Let q = -1.48 - -1.38. Sort g, q, -3 in descending order.\nAnswer: q, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 11918 and 404?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 2*b**3 - 3*b**2. Determine z(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -7 - 2 - 166\/(-18). Let y = -10 + 25. Which is the nearest to -1?  (a) 0.3  (b) y  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8*r + 761 - 762 + r)*(3 + 1 - 2) as l + u*r and give u.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 251605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3\/4?  (a) 0.78  (b) -1  (c) -4  (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*t**2 + 381*t**4 + t**3 + 34 - t + 10*t**2 - 380*t**4 in the form p*t + h*t**4 + i*t**2 + d + k*t**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/3 and (-2)\/(-7)*(-9 - -10).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10 - 7. What is the third derivative of d**y - d**2 + 3*d**3 + 6*d**2 wrt d?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -5*i**2 - 3. Let r(m) = 11*m**2 + 6. Calculate 6*r(t) + 13*v(t).\nAnswer: t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the second derivative of -37*s**3\/6 - 3*s**2\/2 + 1600*s. Let x(p) = 18*p**2. Give x(k(l)).\nAnswer: 24642*l**2 + 3996*l + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-4 - -7 - 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 - 6*v**2 + 17*v + 7. Determine m(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((0 - 8) + 11)\/(6\/3516)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 11*q - 2. Let z(c) = -4*c**2. Let w(u) = 19*u**2. Let l(t) = w(t) + 5*z(t). Give b(l(y)).\nAnswer: -11*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 28065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 12*s + 153. Let w be l(-6). Suppose -233 = 3*x - 0*j - j, -x = -j + w. Which is greater: 2 or x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -4*u + 2. Let x = 149 - 143. Calculate the remainder when q(-2) is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -151*b - 3466 = 69*b + 12374 for b.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (15\/75)\/((4\/2)\/2)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/15*(-90225)\/1604)\/(2\/(-16)*3).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -19.490762 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 731981 greater than or equal to 731982?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 1, f: 1, e: 2, v: 3}. Give prob of sequence viev.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/12, -0.05, 5, -1\/6, 4\/5, 16 in increasing order.\nAnswer: -1\/6, -1\/12, -0.05, 4\/5, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 29*t - 1.\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.3 and 15.\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 45 + -44. What is the smallest common multiple of a and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -588 times 3.22777\nAnswer: -1897.92876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 4\/6 - 15\/9. Let g be 6 - -2 - y - 1. Let w be g - (-4 + 1 + 0). What is the greatest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11.5 - -11.1. Let z = 5.025 + -0.025. Put 4, z, m, 0 in ascending order.\nAnswer: m, 0, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**2 - 6*s + 10. Let d be u(-7). Let n be 3\/27*d*1. Let j(g) = -2*g**2. Let r be j(1). Put n, r, 5 in ascending order.\nAnswer: r, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 663161, 1326323, 1989485, 2652647?\n\"Answer: 663162*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -10166, -20344, -30536, -40742, -50962, -61196, -71444?\n\"Answer: -7*d**2 - 10157*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.0274 + -1.4496. Round m to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that -2*b**5\/3 + 6136*b**4\/3 - 924578*b**3 = 0.\nAnswer: 0, 551, 2517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 - 76*x + 1016. Give a(59).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 440888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = r**3 + r**2 - r - 8. Let k(s) = -s**3 + 11*s**2 + 12*s + 2. Let g be k(12). Let f be -2 - g*(3 + -4). Determine h(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1591103?\nAnswer: 1591103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198110 is divided by 79.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2834 times 2366\nAnswer: -6705244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 33, 2\/5, -0.22?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 22307 (base 15) in base 4?\nAnswer: 122202022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (3\/(-2) + 4)\/(2\/4). Sort k, 2, -1, 1.\nAnswer: -1, 1, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/3*24\/(-36))\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**5 + 24*l**4 - 660*l**3 - 2104*l**2 - 2142*l - 720.\nAnswer: 2*(l - 15)*(l + 1)**3*(l + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 1. Let q = -0.58 - -0.78. What is the third smallest value in q, 0, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25\/22483 or 1?\nAnswer: 25\/22483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 345 minutes before 4:56 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 4700519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7ab0 + 12?\nAnswer: -7a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, h: 1, c: 1}. Give prob of picking 1 c and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*w**2 + 18380*w - 15463896 = 0. What is w?\nAnswer: 1109, 3486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 146679 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-7 - -11) + -7 - -3) + (11 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13, -1, -21, -41, -55, -57, -41, -1?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/14 + 13863\/21. Let n(y) = 675 - 7*y**2 + 4*y**2 - u + 18*y. Let h(z) = z + 1. What is -18*h(p) + n(p)?\nAnswer: -3*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 804445, 804657, 804869?\n\"Answer: 212*u + 804233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-52*h + 138*h - 54*h)*(2 - 6 + 2)*(-6 + 2 + 2).\nAnswer: 128*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28 - 15 - 10)*(-j - j + 4*j + (-3*j - j + 3*j)*(-2 + 2 + 1)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -74858*f**4 + 498*f**3 - 2*f**2 - 3694217*f - 23 wrt f?\nAnswer: -898296*f**2 + 2988*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2442488 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2105 - 12631\/6. Let q = -8 + 8.1. Which is the smallest value?  (a) q  (b) r  (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -248328, -74, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -132.112264 minus -237.2?\nAnswer: 105.087736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 22*s**4 + 9*s**2 - 7*s**2 - s**3 - 2 - 3*s**2 in the form o*s + c*s**2 + y*s**4 + r + q*s**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-4)\/12 - ((-1)\/3 - -2). Let q(n) = 3*n. Let b(m) = m. Give c*b(k) + 2*q(k).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 575*v**2 - 154672*v - 565. Determine i(269).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/44 + (-156)\/(-143). Let w(l) = -1. Let y(i) = -i + 1. Calculate z*y(h) + 4*w(h).\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*p + 0*h - 24 = 3*h, -4*p - h - 15 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 107, 1\/3, -1 in ascending order.\nAnswer: -1, 1\/3, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 285, 1778, 5847, 13782, 26873?\nAnswer: 46410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*s = -21*s + 504. Calculate the remainder when s is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10457170553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the third derivative of -u**8\/112 - 3*u**7\/70 - 3*u**6\/40 - u**5\/20 - u**3 - u**2. Let r(t) be the first derivative of v(t). Factor r(y).\nAnswer: -3*y*(y + 1)**2*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.5996 - -0.8996. Let i = -8 + 9. Which is the closest to 0.1?  (a) 0.02  (b) k  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 212246.12843386 + -8813532.12837286. Let z = 8601300 + j. Let f = 14 - z. Round f to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(98) + 1)**2 + sqrt(98) - sqrt(98))*6 + 1 + (sqrt(98) - sqrt(98)*-1)**2 + sqrt(98))*6 - (-4*(sqrt(98) + 1 + sqrt(98) + sqrt(98))*6 + 0)) + 4.\nAnswer: 1050*sqrt(2) + 5950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.007 - 13.607. Let c = 23.6 - s. Let n = 37 - c. Put 0, -3, n in descending order.\nAnswer: 0, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 227294 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*b = -281 + 231. Solve 2 = b*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 + 41*j - 178. Let q be w(-45). Solve v + 2*u + 0*u = -8, 3*v + q*u + 12 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 - -6. Let y = t - -2. Let d be -5*(-187)\/(-165) - -5*1. Which is the smallest value?  (a) d  (b) y  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2 + 38*r - 74*r + 37*r + r**2. Let a(m) = 2*m**2 - 9*m. Let j(c) = -a(c) + y(c). Give j(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4*((-5)\/(-2) - 2). Suppose -6*d = i*d - 352. Calculate the lowest common multiple of 7 and (d\/(-12) - -3) + 46\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21158, 21138, 21094, 21014, 20886, 20698, 20438?\nAnswer: 20094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 35 + -33. Let m(t) be the first derivative of -2*t**2 - 14\/3*t**3 - a + 0*t. Factor m(j).\nAnswer: -2*j*(7*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2203212313 (base 4) to base 14\nAnswer: -13630b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, 3, 13, -3 in descending order.\nAnswer: 13, 5, 3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -24002*g**4 + 2*g**3 + 2*g**2 + g - 7276335 wrt g?\nAnswer: -96008*g**3 + 6*g**2 + 4*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41213 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 - (-18 + 11 + 4 + 3) - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/(sqrt(11)*-5) - -2*sqrt(3)*-1 - ((sqrt(9) - sqrt(27)\/sqrt(3) - sqrt(9))*-4)\/sqrt(432))*-4.\nAnswer: 152*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -153, -596, -1329, -2352, -3665, -5268?\n\"Answer: -145*l**2 - 8*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -735 + 432. Let x = 518 - g. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 10 = 0, s = 2*s + 3*i - 42. Calculate the greatest common factor of 24 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-13)\/(-143)*11*190. Calculate the greatest common divisor of 342 and t.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-141)\/(-6)*(-192)\/(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -174 + 2118 = 6*a. Suppose -a = -4*x + s, 5*x - 44 = 4*s + 361. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (112\/140)\/((-4)\/(-30))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2 - 13*s - 7. Let a be c(-6). Calculate the greatest common factor of 315 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/3094 and 43\/182?\nAnswer: 3094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*s = 15 - 791. Solve -15 = 82*x - s*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*q - 7*q**2 + 2*q**2 + 4 + 4*q**2.\nAnswer: -(q - 1)*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6680314.1 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 226 a factor of 331469263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z - z + 2802 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 400*y - 70*y + 502*y to b + t*y and give t.\nAnswer: 832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of -2719*y**7\/42 - 2641*y**3\/3 + 5698*y. Find the second derivative of o(r) wrt r.\nAnswer: -54380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 416 a factor of 667680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/6?  (a) 0.3  (b) -1\/9  (c) 116  (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 200 = -5*l, 5*l - 124 = 2*h + 66. What is the smallest common multiple of 22 and l?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8 and -46.3?\nAnswer: 370.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18 - -8. Let k = n + 10.2. Which is the closest to k?  (a) 0  (b) 1\/2  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3 + 3)\/1)\/(-1). Suppose 0 = 3*a + 4*u + 7, g = 3*u - u + 2. Which is greater: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 373 minutes before 5:42 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 89440943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6, 17, 36, 63?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 6617436*s**2 + s. Let o(b) = -2*b. Determine v(o(u)).\nAnswer: 26469744*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.05943 - 0.55943. Let v be (-2)\/(-4)*(-2)\/(-54). What is the closest to 1 in 0.4, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32077 + -7790. What is the ten thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is b8 - 4bb81?\nAnswer: -4ba96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 5:30 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -a**2 - a. Let m(v) = -1. Let t(g) = -m(g) - w(g). Let o(k) = 7*k**2 + 5*k + 6. What is -o(p) + 5*t(p)?\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-21)\/(-147)*-14 - 17\/(-7). Let 0*a + 6\/7*a**3 + 0*a**2 + 0 - n*a**4 = 0. What is a?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + sqrt(180) + sqrt(720) + -1)**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 628795897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**5 - 104*o**4 + 87*o**3 + 1628*o**2 + 2060*o.\nAnswer: o*(o - 103)*(o - 5)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1634, 3292, 4976, 6692, 8446?\n\"Answer: x**3 + 7*x**2 + 1630*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(68)*-1)\/(sqrt(32)\/sqrt(8)*-5).\nAnswer: -6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = 3*x - 460, -5*t = 5*x - 0*t - 765. Factor x - 3*v + 3*v**2 - 154.\nAnswer: 3*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 359, 6, 19.\nAnswer: 6, 19, 359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -26 + 31. Let b(z) = -2*z**3 + z**2 + 2*z + 1. Let k be b(2). Sort -4, k, g.\nAnswer: k, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -l - 1210 - 285*l**4 + 1077 + l wrt l.\nAnswer: -1140*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -102606920 by -26665.\nAnswer: 3848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -161*x - 66889494 + 66875809 for x.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16\/(-10) - 76\/190. Let y(g) = g**3 - 12*g**2 + 2*g - 15. Let q be y(12). Let b be q\/3 - 3*2. Sort h, 9, b.\nAnswer: b, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -189 - -536. List the prime factors of z.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -7*w + 7. Let j be k(-5). Let t be ((-12)\/j)\/(8\/(-14)). Let g = -0.18 - 0.12. Is t at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 201 and 402099?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1509 - -1564 - (-1 + 11)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -k**2 + 3*k + 3. Let b be f(3). Suppose 5*d = 4*o + 184, 5*d - 75 = b*d + 3*o. Let h be (-100)\/d + 4 + -1. Sort -0.05, 0, h.\nAnswer: -0.05, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.06 - -1.22. Let d = r - 0.28. Let k = -0.043 - -0.003. What is the second smallest value in k, d, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2+167670\nAnswer: 167668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 2*m + 8, -4*m = 3*v - 2*v - 8. Factor q**4 - q**4 + v*q - 2 - 2*q**4 - 12*q**2 + 8*q**3.\nAnswer: -2*(q - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.19628 + -41.80372. Is a < -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -5*w - 5, 5*w + 9643 = -4*z + 9641 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 981.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/3)\/((1\/1929)\/1). Let f = o - -1082. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2)\/(8\/(-20)) - (-1 + 3). Suppose -s*n + 4 = -2. Solve -3*h - n*h = 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*c**2 + 0*c + c**2 + 2*c)*(-468*c**2 - 4228 + 4228).\nAnswer: 468*c**4 - 936*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((-1 + sqrt(1872)*-3 + sqrt(1872))**2 + (sqrt(1872) + sqrt(1872) + ((sqrt(1872) - (-3 + sqrt(1872))) + sqrt(1872) - sqrt(1872))*-1)**2 + -3).\nAnswer: -96*sqrt(13) + 14983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35332437.\nAnswer: 3, 7, 137, 12281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 2*b - 132. Let h(w) be the first derivative of 20*w**3\/3 + 4734. Determine h(k(t)).\nAnswer: 80*t**2 - 10560*t + 348480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + y + 3. Let j be d(4). Let b = j + 12. Suppose -80 = -7*a + b*a. Calculate the smallest common multiple of a and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.360434 seconds to milliseconds.\nAnswer: 360.434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -49 - 132*s**2 + 102 - 53 - 16*s**2. Let a(c) = 9*c**2. Give b(a(t)).\nAnswer: -11988*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2795 and 410?\nAnswer: 229190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/81332940 and 25\/264?\nAnswer: 1789324680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3100543 (base 6) to base 14.\nAnswer: 3bcbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1658, -1709, -1762, -1817, -1874, -1933?\n\"Answer: -q**2 - 48*q - 1609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2629038 (base 10) to base 11\nAnswer: -1536265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 713 divided by -1.\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4221941862?\nAnswer: 2, 3, 703656977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 90 divide 597216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -5*x + 13, x = -2*r - 3*x + 2. Let a = -7 - -6. Put r, a, 0 in descending order.\nAnswer: 0, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(2 + (-5 + sqrt(171)\/(-5*sqrt(9))*-1 + 2 + sqrt(76) + (-2 + sqrt(475) - sqrt(19)))**2).\nAnswer: -310*sqrt(19) + 18934\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 + u)*(2 + 3 - 1) + 0*u + 5*u - 3*u - 1 + 1 + u + (5*u - 4*u + 0*u)*(1 - 3 + 4) + 2 - 2 + 2*u - 4*u + 2*u - u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*y + 4 = -65*t + 67*t, -t + 4 = -3*t + y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 (base 12) in base 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 5 + 5*h - h**2 - 15*h + 6 + 0*h**2. Let c be v(-11). Let y be 16 - -69 - (2 - 3)*c. What is the greatest common factor of 34 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -15860906 or -15860904?\nAnswer: -15860906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -6, 0, 1\/5, 682?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from ooooooou?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:45 PM and 1:19 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -140 + 75 = -5*w. Let z be 2\/(-3) + (312\/36)\/w. Solve y - 4*n = z, -4*y = -3*y + 2*n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**2 + 9*l + 13. Let j be n(-9). Suppose 2*x = 7 + j. What is the remainder when 4\/x - 117\/(-45) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 - 16 = -5*y. Solve 0*x - 2 = y*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-5)\/4)\/5)\/((18821\/116)\/59)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**2 + 11*c - 9. Let h be w(-13). Let s be (-24)\/(-14) - (-4)\/14. Suppose -37 = -s*r - 3. What is the highest common factor of r and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3\/(-3))\/(11\/(-121)). Let i(t) = t - 6. Let x be i(m). Solve -z + 4 = -x*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 12 - 164039a8?\nAnswer: -16403996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((2*sqrt(405) + -1)*5 + -5*(-4 + sqrt(405)*-2 - sqrt(405)))*-3*-3)**2.\nAnswer: 546750*sqrt(5) + 20521350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 6968457 != 34842278\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-9)\/(-27))\/(8\/5862)*-4. Let o = 1408 + c. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -125\/96 and 9\/12 + (-1128)\/(-224) + 2.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 34 = 20. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 84\/630 + (-148764)\/(-45)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(2 + (3*(sqrt(275) + 0))**2 - ((-3 + sqrt(275) + sqrt(275)*2)**2 + 5)).\nAnswer: -90*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 549 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 240996 is divided by 14176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) 12.32  (b) -0.4  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 209809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 412*d**3*q**2 - d**3 + d*q**4 + 1040 wrt q.\nAnswer: 824*d**3*q + 4*d*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2058 a factor of 85247654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -115309 at most as big as -115306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -6. Let m(g) = 35 + 3*g**2 - 34 - 4*g - 4*g**2. Let x be m(k). Solve 4*p - 30 = -2*q, 3 = x*q + p - 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 33 - 38 = 0, 4*y = -4*w + 20. Let m(s) be the second derivative of -1\/12*s**4 + 0 + 19*s - 3\/20*s**5 - 1\/3*s**3 + y*s**2. Give m(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.55 + 0.549704. What is d rounded to five dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*d - 30*d = -9226. Does 29 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - h + 1)*(-1 - h + 1) + (2 - 6 + 1)*(-478 + 478 - 82*h**2) - 3*h**2 + 5*h**2 + 0*h**2.\nAnswer: 249*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/10*3)\/((55\/396)\/(1150\/276))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3474417741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -14020 (base 8) in base 14?\nAnswer: -2360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/10 or -5639229?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1532.43 to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11 (base 11) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j = -a + 194, 403 = 5*a - 3*j - 528. Suppose 0 = 5*h + 4*g - a, -2*g - g + 6 = 0. What is the highest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 640303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, -4, -5, 20582, -10 in descending order.\nAnswer: 20582, 3, -2, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17\/130 - 9\/130. What is the closest to p in -0.3, 3, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 734747, 734747, 734749, 734753, 734759?\n\"Answer: r**2 - 3*r + 734749","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = -t**3 - t**2 - 24*t - 5. Calculate m(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 44117043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -14*k - 99. Let s be r(-7). Let c be -24*(5\/10 + s). What is the highest common factor of c and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*w - 20*o - 2644 + 2635, w - 3 = 3*o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8814656 is divided by 2964?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2303321 + -43?\nAnswer: -2303414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -5415 divided by -6?\nAnswer: 1805\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 632 a factor of 11483917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41 = 1165*m - 1168*m - 4*k, 0 = 4*m - 9*k - 17 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 27*(-4 - (-304)\/72).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -102 (base 9) in base 10?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10414002233 (base 5) to base 11\nAnswer: -6523976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*s + 5*v, -3*v - 9 = -6*v. Let a(c) = -4*c**3 - 3*c**2 - 2*c + 2. Let w(u) = -5*u**3 - 2*u**2 - 3*u + 3. Determine s*a(r) + 2*w(r).\nAnswer: 2*r**3 + 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of 71*i**4\/6 + 34*i**2 - 69*i. What is the derivative of h(z) wrt z?\nAnswer: 284*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -3874*d + 6*d**2 + 3874*d - 7. Let q(s) = s**2. Give n(q(r)).\nAnswer: 6*r**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3\/3 - 18894*j**2 + j\/3 + 18894.\nAnswer: -(j - 1)*(j + 1)*(j + 56682)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-39)\/((-14430)\/20))\/(-1)?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.9 + -9.9. Let i = -6 - -45. Let v = i - 39. Which is the third biggest value?  (a) -2  (b) y  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 41118\/(-20) + (-79)\/790. Let o = -1365 - r. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k + 34. Suppose i = 3*i - 2. Let j = -1 + i. Does 17 divide s(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -54 - -90. Let o be 2\/(-9) + 8\/x. Suppose 3*r - 62 = -2*b, 2*b + 2*b - 4*r - 124 = o. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 9897801?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 8001643854 divided by -6\nAnswer: -1333607309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 248, 496, 744, 992, 1240, 1488?\nAnswer: 1736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qaqixi. What is prob of sequence xqi?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1044 = -971*l + 1087*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**3 + 12*n**2 - n + 26. Let d be i(12). Let y(z) = -z**3 - 6*z**2 - 4*z + 7. Let q be y(-5). Suppose -3*r + 5 = q*r. Solve -3*a - r - d = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 7443, 7543, 7643, 7743, 7843, 7943?\n\"Answer: 100*m + 7343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*j - 20187 - 62115 = 0. List the prime factors of j.\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -3 - (4 - (5 - 12) - 20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 - 2*y**2 + 5*y**2)*(-y + y - y)*(13 - 9 + 32).\nAnswer: -72*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -5*z**5 + 44575*z**4 - 148588070*z**3 + 219590507570*z**2 - 121493002356565*z + 121273560392495 = 0?\nAnswer: 1, 2107, 2593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 444540 divided by 6?\nAnswer: 74090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 3*n - 125, 5*q - 3*n - 355 = -38. Calculate the remainder when q is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/3*(-72)\/48*790. What is the greatest common divisor of 237 and o?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 28 - 32. Put 2, l, 5 in increasing order.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = 20*s**2. Let h(z) = -11*z - 8*z + 8*z + 8*z. Give i(h(n)).\nAnswer: 180*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 220 + -219.9847. Let v = c + 0.05286. Let h = -0.069 + v. Round h to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27222?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 117\/(-372) - ((-34)\/8)\/17.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5 + -3. Let t(z) = -2 + 3 - 1 - z - q. Determine t(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2\/5, -1\/32, -2\/9, -0.8 in increasing order.\nAnswer: -0.8, -2\/5, -2\/9, -1\/32, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 16302201 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2144.45273 rounded to the nearest ten?\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.14186 + -0.05814. Let x = -14 - -9. Put 3, q, x, 5 in ascending order.\nAnswer: x, q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*d + 30 + 306 = 0. Suppose 94 = 2*s + d. Is 22 a factor of (4 - s)\/((-1)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8441477 by 767407.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 + -33071?\nAnswer: -33075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert 29.225 weeks to minutes.\nAnswer: 294588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/(-34) + 11956\/476.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -l**3 - 9*l**2 - 14*l - 24. Let x be 6\/18 - (-31)\/(-3). What is the hundreds digit of n(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 344768, 344766, 344764?\nAnswer: 344762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -39 - -18. Let s = -11 - p. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -12103043 (base 5) to base 10\nAnswer: -112898","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 682233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 21\/(-4) + ((-38)\/8 - -5). Sort g, 0, -9, 4.\nAnswer: -9, g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times -2.650862?\nAnswer: 7.952586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 36\/8*(-2)\/36*-8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 67 - 2 = 13*q. Suppose q*v = 4*x + 577992, -241081 + 9885 = -2*v + 2*x. What is v rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -99869 - -876550209\/8777. Let c = p + -623079\/193094. Calculate the common denominator of 61\/10 and c.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the first derivative of s**6\/12 - s**4\/8 + 18. Determine u so that n(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 40*w**2 - 169*w**2 + 37*w**2 + 4*w - 4*w + 2*w**2 + (0 + 0 - w)*(-2*w + 3*w - 3*w) - 2*w**2 + w**2 + 0*w**2 to t*w + f + m*w**2 and give m.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 26361.\nAnswer: 3, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-2\/17)*n)\/(n*n**(-26)))**16 assuming n is positive.\nAnswer: n**(7040\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 131232*a - 2543*a**2 - 131232*a + 2379 wrt a?\nAnswer: -5086*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 120220\/27 + -4452. What is the common denominator of w and 22\/48 + (-3)\/(-9)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4*(-15*1)\/(5 + -1). Let n = -11 - x. Find the second derivative of -3*m + 10*m**3 + n*m + 4*m - 7*m wrt m.\nAnswer: 60*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 (base 11) in base 2?\nAnswer: 101111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 26*l**2 + 4*l. Let b(x) = -31*x**2 + 7. Give s(b(y)).\nAnswer: 24986*y**4 - 11408*y**2 + 1302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 143\/14 - (-796)\/2786. Factor 3\/2*a**3 - 27\/2*a**2 - u + 45\/2*a.\nAnswer: 3*(a - 7)*(a - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 23 = 39. Calculate the remainder when 141 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 682 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/v**13)\/v**(-4)*v**(14\/9)*v**(-2\/27) assuming v is positive.\nAnswer: v**(-176\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes before 4:08 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -462*f**2 - f + 3*f**3 + 464*f**2 - 26*f**4 - 3*f**3 in the form s*f + m*f**2 + d*f**3 + l + g*f**4 and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 6121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1141 + -1140.8. Sort w, 106, -4.\nAnswer: -4, w, 106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 12 = -0*d. Suppose -c = c + 2*r + d, -2*c - 3*r - 1 = 0. Let w(j) = -j**3 + 7*j**2 - 6*j - 18. Let n be w(3). Sort c, -2, n in decreasing order.\nAnswer: n, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l**5\/5 - 21816*l**4\/5 + 13086*l**3 - 65424*l**2\/5 + 21807*l\/5 = 0.\nAnswer: 0, 1, 7269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 711866562 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 383 + -337. Is x at least as big as 224\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = y**3 - 2*y + 13. Is t(0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7 + 2*y + 7 - 4*y + y + y + (-3 + 26 + 0)*(3 - 3 - 2*y) - 2 + 2*y + 2 + 3*y - y + 0*y - 3*y + y + 0*y.\nAnswer: -44*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -6 in 0.2, -2\/73, 95, -3\/4, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 3.3?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 15*x**2. Suppose 1875*c = 1850*c + 175. Let u(p) be the second derivative of 0*p**3 + 0 - 1\/4*p**4 - c*p + 0*p**2. What is u(g(l))?\nAnswer: -675*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t**2\/7 + 15372*t - 322776\/7 = 0.\nAnswer: 3, 26898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 47, -5, 5.\nAnswer: -5, 2, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(605) + 5 - ((sqrt(605) + sqrt(605)*-2)**2 + -1)) + 1*((sqrt(605) + 0)**2 + -1 + (sqrt(605) + sqrt(605)*2 + -4)**2).\nAnswer: -242*sqrt(5) + 5466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - (-1 + 0)) + (1 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(g**(-9)\/g))\/g*g*g\/g**(-6\/11))\/(g**(2\/21)*g**(-3\/5))*(g*(((g*g**(-2\/7))\/g)\/g*g)\/g*g**(-14)\/g*g)**(11\/4) assuming g is positive.\nAnswer: g**(-30302\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -260 + 26 = 3*g. Suppose 0 = -2*s + 41 - 317. Let z = g - s. Does 20 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by -13262?\nAnswer: 3\/13262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*t**3 - 151*t**2 + 21*t**2 + 130*t**2.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -15, -15, 1, 33, 81?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 5*c = -8, 3*g - c - 10 = -0*g. Let w(i) = -3 + 3*i - 2*i - g*i. Suppose -12 = 2*m + x, m - 4*x = x + 5. What is w(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33087 and 1107?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 53*g**2 - 12*g + 6. Determine m(2).\nAnswer: 194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 9303, 18616, 27943, 37290, 46663?\n\"Answer: g**3 + g**2 + 9303*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -344586.923 rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6852159 is divided by 3680?\nAnswer: 3679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/(1*sqrt(242)).\nAnswer: sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/(368\/44 + -8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 PM and 2:55 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*s + 221 = 4*s + 3*c, 4*s - 2*c + 176 = 0. Let q = -29 - s. Calculate the greatest common factor of 98 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((2*(sqrt(176) + 2) + sqrt(176) + sqrt(176) + (sqrt(176) + sqrt(176) + 1 - sqrt(176))*-1 + sqrt(176))*-2)**2*-2 + 5.\nAnswer: -22594 - 768*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1625 + 1604. Is 12 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 456, 949, 1456, 1983, 2536, 3121, 3744, 4411?\n\"Answer: u**3 + u**2 + 483*u - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2829 + 2829 + 155*a**3 + (-a + a**2 + a)*(a + a - 4*a).\nAnswer: 153*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3  (b) 0.4  (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**3 - 17*s**2 - 13*s - 65. Let j be (-34)\/(-4)*4\/(-8)*4. Let g be o(j). Is 156 equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*i = 67*i + 49 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2*2492\/(-1691)*19\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -2b102 (base 12) to base 4\nAnswer: -32303102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.5 + -1. Let w = 2.7 - 3. Let v = w - -0.2. What is the closest to -1 in -0.3, v, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1431 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 d(f) = 910 - 910 + 3*f. Let v(z) be the third derivative of z**5\/15 + z**2. What is v(d(b))?\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l + 4*r = 2, 26*l - 59*l = -28*l - r + 39 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 199735663 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22180426 is divided by 62130.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g + 3. Let k be t(-5). Let p = k - -4. Suppose -p*y = -7*y - 5. Which is the nearest to 0.1?  (a) -0.4  (b) 2  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/113239 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -217*p - 509 + 4415 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 147cb8 + 3?\nAnswer: 147cbb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 19 = -l, -5*l + 2*l - 5*x = -2. Let v(n) = 2*n**3 - 20*n**2 + 19*n + 3. Let o be v(l). Let d be 414\/12*(-1)\/(-3). Is o greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7390196 * -6\nAnswer: -44341176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(104)*-1*1*6)\/(-4*(sqrt(1152) - ((sqrt(1152) - (1*sqrt(1152) + sqrt(1152))) + sqrt(1152)))*4).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 578 minutes after 3:49 AM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83260*l**2 - l + 83273*l**2 + l.\nAnswer: 13*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = c**3 - 2*c + 10. Let y be u(0). Is (-6)\/y - ((-892672)\/(-40))\/(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 8*b + 5. Let y(q) = -23*q - 14. Let v(k) = 11*j(k) + 4*y(k). Let c be (-2*12)\/(-3) - (-132)\/(-11). Give v(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30 is divided by 0\/(-3) - -6 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in 2*a**2\/13 - 11376816*a\/13 + 16178992787232\/13 = 0?\nAnswer: 2844204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28, 73, 120, 163, 196?\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33844 and 2004.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1909299 and 757029?\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 55805 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (1\/(-3) - 4) + 3. Let t be (-10)\/(-55) + 217\/(-165). Let j = t - x. Sort j, 0.1, 5.\nAnswer: 0.1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yoooyyooyoyyyooyyoo.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -c**3 + 2*c**3 + 0*c**3 + (0*c + 0*c - 2*c**3)*(-17 - 2 + 3) in the form y*c**3 + r*c**2 + k*c + v and give y.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:57 AM and 11:22 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - 15 = -6*x + 1, 12 = 5*x - 3*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3456*y**3 + 11009*y - 11009*y.\nAnswer: -3456*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2\/4 + 27*d\/4 - 27\/2.\nAnswer: -3*(d - 6)*(d - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2 - -2041?\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*a**4 - 5*a**4 - 3*a**4)*(-a + 0 + 0) + (1 - 1 + 4*a**5)*(1 + 4 - 4) + a**5 - 9*a + 9*a.\nAnswer: 7*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 20412, 40609, 60806?\n\"Answer: 20197*r + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 57457 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2 - 10111331?\nAnswer: -10111324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 2*x**2 + 7*x + 3. Calculate m(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 51.12 - 49.12. Which is the nearest to z?  (a) -5  (b) -0.3  (c) -8\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence riir when four letters picked without replacement from riiriiiiirii?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.3 - 1.7. Let l = -143.83 + 145. Let q = 3.83 + l. What is the nearest to -1\/4 in q, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 261184457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-o - 6*o + 2*o)*(4 + 0 + 1)*((0*o + 3*o - o)*(4 - 2 - 4) + 4*o + 2*o - 4*o) to the form v*o**2 + w + j*o and give v.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10654 is divided by 2653?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -39\/2, 2, -3, 1\/4 in increasing order.\nAnswer: -39\/2, -3, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 669 minutes after 6:28 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/12)\/(6482\/(-6492) - -1) - (-988)\/1235?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24524582.\nAnswer: 2, 12262291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = 2*o + 312. Suppose 0 = 2*p + 2*p - o. Let w = -17 + p. What is the remainder when 25 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 + q + 2. Let h be c(0). Suppose y + h*z + 8 = 6*y, -3 = -3*y + 3*z. Determine i, given that -1\/4*i + 1\/4*i**y + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8.6 + -6. Let c = t + -2.6026. What is c rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9170 divided by -655\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1860, -1926, -1966, -1968, -1920, -1810, -1626?\nAnswer: -1356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {s: 13, q: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1199357\/859344 + 3\/17903. Calculate the common denominator of 115\/972 and c.\nAnswer: 3888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 245977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-12*w - 7 + 7)*(4 - 4 - w) - 4*w**2 + 4*w**2 - w**2 + 5*w**2 + 0*w**2 - 3*w**2.\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*-3*3\/(-9). Suppose -v = d, 6*y - 3*y - 4*v = 148. Find the common denominator of -75\/2 and ((-28)\/10)\/(y\/(-140)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 386.9749 rounded to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2\/21 + -5\/21. Let g = -8.5 + 8.7. What is the second biggest value in d, -1, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -9.7 - -9.7. Which is smaller: 0.06 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34389?\nAnswer: 3, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -6458\/11 bigger than -588?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 4 + -67 + 133 + -50 + -47 + 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 5*y**3 + 5*y + 6. Let g(a) = a**2 + a + 1. What is 3*g(b) - r(b)?\nAnswer: -5*b**3 + 3*b**2 - 2*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g**(-18))\/g**1)\/(g\/((g**4\/g)\/g*g))**(-17\/6))**35 assuming g is positive.\nAnswer: g**(-2485\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out 9.802 * 8.\nAnswer: 78.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*w**4 + w**3 - w**3 + (0 + 0 + w)*(43 - 43 + 6*w**3) + 2*w**4 - 4*w**4 + 0*w**4.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 AM and 3:08 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 AM and 4:00 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -102131 (base 4) to base 14\nAnswer: -605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3698 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) 8037  (b) 152  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = a + 2204, 5*j + 5*a + 395 = 3175. Suppose -6*t + j = -1392. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -293*u**3 + 2*u**2 - u - 1. Let x(n) = 880*n**3 - 7*n**2 + 3*n + 3. Let c(k) = 8*r(k) + 3*x(k). Is c(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 184923864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(960)\/sqrt(12) - (-5*(1 + sqrt(5)) - sqrt(5)).\nAnswer: 5 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 l when four letters picked without replacement from {u: 8, l: 1, c: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 327283*v + 163654*v + 163652*v.\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 932 + -912. Solve 3*z = b + 17, -y = 12*b - 8*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-51)\/(-12) + (-4)\/16. Solve -3*m + d*i + 16 = 0, -4*i + 9 - 1 = 3*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 16 - -66?\nAnswer: 7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 5*w - 100 = 0, -16*j - 210 = -12*j + 5*w. Which is bigger: -58 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -212835.89 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -45, -5, 61, 153?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 1 = -2*l, t - 53*l = -58*l + 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -799\/5 + 1519\/10. Calculate the common denominator of 345\/(-46)*19\/21 and i.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -31, 12, 83, 182?\n\"Answer: 14*x**2 + x - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7 + -288765?\nAnswer: -28875c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 532163415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 76 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 470 minutes after 8:23 PM?\nAnswer: 4:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (1 - 1) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -1726*o. Let h(s) = s. Determine h(a(t)).\nAnswer: -1726*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/63  (b) 0  (c) -45613\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llssl. Give prob of picking 1 s and 2 l.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -4 - ((-8)\/(24\/27) + 16)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -0*p - 4*p - 47, 0 = p + 5*v + 33. List the prime factors of ((-4)\/6)\/(p\/132).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 542363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 0.15, -154\/9, 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fgnngngfggnffggg. Give prob of sequence nf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11642 = -257*t + 3720 - 17778 for t.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 11040 divided by 5?\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*r - 2 = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3743 or 1455694\/389?\nAnswer: 3743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0048 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 9) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= 17.94022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 5  (b) -24\/11  (c) 1.9  (d) -408  (e) -1\/2  (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -8  (b) 1\/32  (c) -5  (d) -562\/19  (e) -13  (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -15 + 11*x + 18*x + 15. Let z(r) = -3*r. Give i(z(s)).\nAnswer: -87*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 PM and 4:18 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 894 and 14.\nAnswer: 6258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 - 0.4. Let u(t) = 3*t**2 + 6*t + 4. Let z be u(-4). Let k = 57\/2 - z. Which is the third smallest value?  (a) k  (b) i  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -61, 1, 5 in descending order.\nAnswer: 5, 1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 10  (c) 0.3  (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 933293 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve t - 5*t = -6*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0 = -2. Let v(q) be the third derivative of 19*q**5\/60 + q**4\/24 + q**3\/6 + 12*q**2. Is 7 a factor of v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-12)\/(-9))\/(4\/126). Let f be (-2)\/(-5) + 168\/30. Calculate the highest common divisor of f and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -6. Suppose 2*z - 3*p - 2 - 11 = 0, 4*p = -5*z - 2. Calculate the greatest common divisor of z and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i. Let l(w) = -3*w + 0*w - 6*w + 6*w. What is l(b(z))?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 106849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 179 and 528916?\nAnswer: 94675964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -120 + 250. Let m = 129 - h. Are 2\/231 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 5, d: 2, x: 8, p: 1}. What is prob of picking 1 d and 3 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, -85, -3, -4, -299 in increasing order.\nAnswer: -299, -85, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 239*k + 166. Let u(v) = -47*v - 32. Calculate 11*u(s) + 2*z(s).\nAnswer: -39*s - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 15728213 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -108*z**5 + 432*z**4 + 303552*z**3 - 9395968*z**2 + 80494592*z = 0?\nAnswer: -64, 0, 68\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -225001230 + -4?\nAnswer: -225001234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 4  (b) -3  (c) 3223\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*w = -20*w + 784. Let m = 12 + 6. Let h = 22 + m. What is the greatest common factor of h and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 2522*p + 7 - 3.\nAnswer: -2522*p + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - -15*45\/75.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hv when two letters picked without replacement from krhvskrrvrsw.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 13671585661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 + 9*w - 17. What is o(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*n + 5*n + 0*n + (3 - 2 + 1)*(-1687*n + 4138*n - 1683*n) to m + y*n and give y.\nAnswer: 1537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 44154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -5*i**2 - 341*i + 6635. Determine v(-84).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -4 + 3 - 4*i + 0 + 2. What is s(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + 3*l. Let y(p) = -3*p**3 - p**2 - 64*p + 10. Give -2*x(o) - y(o).\nAnswer: o**3 + o**2 + 58*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the third derivative of h**6\/120 - h**5\/12 + h**4\/8 - 7*h**2. Let q(w) = 29*w - 1. What is the remainder when q(2) is divided by m(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) be the first derivative of 25*d**8\/7 + 13*d**4\/6 + 23*d + 293. Let b(o) be the first derivative of i(o). Find the third derivative of b(r) wrt r.\nAnswer: 24000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2081, -5658, -9247, -12848?\n\"Answer: -6*n**2 - 3559*n + 1484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -15*o**2 - 2. Let m(r) = 3*r**2 - r - 2. Let y(n) = 10*n**2 - 6*n - 12. Let s(j) = -6*m(j) + y(j). Calculate s(x(b)).\nAnswer: -1800*b**4 - 480*b**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-105)\/(-6))\/(-7)*19280000. Round u to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from cjocoojjjjjcr. What is prob of picking 1 j and 1 c?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1*(-5 + 4\/2) - -3. Suppose c = -3*o + 3*c + 14, b = -o + 4*c + 8. Solve 5 = -o*r + 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = c**3 - 14*c**2 + c - 1. Let f(j) = 7*j**3 - j**2 - j + 1. What is the remainder when f(2) is divided by n(14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 748 and 6664?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 121*t + 129*t + 134*t - 393*t.\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 838507161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 19*p - 21 = 0, -4*o + 5*p + 4*p = 5*p + p + 43 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - -22) + (15 - (-8 - -19))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1189400 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20046065, -20046069, -20046073, -20046077, -20046081?\nAnswer: -20046085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence we when two letters picked without replacement from {x: 1, n: 1, w: 5, t: 7, e: 2}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -154*j**4 - 102*j**3 + 33127023*j**2.\nAnswer: -3696*j - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -90*b + 16 + 32*b - 74*b**4 + 62*b wrt b.\nAnswer: -888*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*(-7 + 288\/30 + -2)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -15*z**2 + 9*z - 9. Let j(x) = -7*x**2 + 4*x - 4. Let t(c) = 9*j(c) - 4*v(c). Let b(y) = -24*y + 10*y + 5*y + 10*y. Determine b(t(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 17*l + 504 = -16*l for l.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/55 and -17\/1112.\nAnswer: 61160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o + 3*o**3 + 6564 - 6564 + 4*o**2 as k + t*o**2 + r*o + l*o**3 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -3*m**3 - 2*m**2 + 9*m - 12. Let w be z(-6). Let p = w + -275. Does 22 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 - 5*d**2 + 3*d + 1. Calculate w(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z = 1200*l - 1196*l - 10, -17 = z + 4*l for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 0.4, -29.6, -17, -2\/7.\nAnswer: -29.6, -17, -2\/7, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-269)\/(-2) + (-9)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 496 minutes before 12:51 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 3*i, 0 = 2*i - i + q + 2. Let x be 2*i\/2 + 4. Which is the biggest value?  (a) 1  (b) x  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -60*h**4 + 415*h**3 + 120*h**2 - 615*h + 140 = 0. Calculate h.\nAnswer: -4\/3, 1\/4, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 173\/301 + -1\/301. What is the biggest value in 5, -1\/4, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, 0, -3, -4, 4 in descending order.\nAnswer: 6, 4, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + 1 - 2) + -7 - -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12071178?\nAnswer: 2, 3, 7, 95803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 299 divide 21522618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (-20 + 26 + 3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*h**3 + 175*h**2 - 171*h**2 + 1 - 2*h + h**3 in the form s*h + k + t*h**3 + l*h**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 3*k**2 - 92*k + 579. Calculate z(23).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -2*m - 9. Let l be u(-6). Find the third derivative of 8*h**4 + l*h**2 - 6*h**2 + 5*h**4 - 4*h**2 wrt h.\nAnswer: 312*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k - 21 = 6*k - 5*n, 5*k - 5 = n. Solve -u + 4*a - 14 + 36 = 0, -k*u + 14 = -2*a for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 3*f**2 - 57*f - 91. Let i be b(31). What is the greatest common divisor of 41 and i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23116?\nAnswer: 2, 5779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four thirds of a decade in months?\nAnswer: 2960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 233*c**3 + 3*c - 4. Let r be p(1). Let f = r - 228. Solve 1 = f*b - 11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 710*c + 5828 = -6242 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 3*n. Let i be ((-3)\/2)\/(3\/(-22)) + 0. Suppose 0 = -3*y - 3*t + 27, 12 - i = 4*y - 3*t. Calculate p(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -19\/5, 16\/3, -2, 0.086, 0.2 in increasing order.\nAnswer: -19\/5, -2, 0.086, 0.2, 16\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -8*w - 58. Calculate the least common multiple of 360 and r(-9).\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 + 77 = 8*j + 5*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.15 + 0.15. Let k = 433 - 411. Which is the second biggest value?  (a) m  (b) -0.1  (c) 2\/3  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45498647?\nAnswer: 17, 107, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/((-63)\/(-3))*(-5)\/(-5).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 + 3*r - 124*r**2 + 19*r**3 + 186*r**2 - 2*r - 12*r**3 to b + j*r**3 + l*r**2 + c*r and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: 2680 divided by 5\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (27\/12)\/((-39)\/12 - -3). Is -4 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 158*g - 52*g + 46*g + 1368 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-1\/3)\/m)**(-6\/19)*m**0\/(m*m*m\/(m\/m**(5\/4))) assuming m is positive.\nAnswer: m**(-215\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -41015 - 506?\nAnswer: -41524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/7?  (a) -0.421  (b) 2\/3  (c) 0  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 78313?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*m**2 + 61*m**2 - 8*m**2)*(2*m**2 + 0*m**2 + 1 - 3*m**2).\nAnswer: -49*m**4 + 49*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 83*l - 57*l - 182. Suppose 0 = -5*i - 2 + l, -51 = -4*a + i. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 874361327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is sixty-four thirds of a week in hours?\nAnswer: 3584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2314617 is divided by 315?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -389 - -389. Solve -5*q - 15 = x, -2*m + 4*q + 137 = 127 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 17\/((-119)\/(-84))*(6 + (-956)\/168)\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {s: 3, a: 3, l: 8, o: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a decade in years?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 196 and 98?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -4\/5 and 37\/307985.\nAnswer: 307985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 1 = -3. What is the units digit of (-1)\/(-2)*(4 + c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.18 and -204.\nAnswer: -36.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -12\/13 in decreasing order.\nAnswer: 0, -12\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 618.04 in -15, -1\/8, -4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 2*u**3 + 55*u**2 + 95*u + 1760. What is p(-27)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 f and 1 d when four letters picked without replacement from dffddsfd?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the second derivative of o**4\/12 + o. Let z be (413\/(-14))\/(3*(-6)\/36). Let m(q) = 92*q + z - 59 - 66*q. Calculate h(m(y)).\nAnswer: 676*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that -5*r**3 + 6055*r**2 - 36195*r + 54225 = 0.\nAnswer: 3, 1205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2660 = 4*c + 3*n - 2261, 0 = -2*c + 3*n + 2465. What are the prime factors of c?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 != 81923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 7 + -9 + -3 - (9 - 15)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 19527\/20 - 976. Let q = k - -1\/20. Which is the closest to -1\/2?  (a) 1  (b) 2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.3  (b) -2\/53  (c) -0.5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-90)\/36)\/(2 - (-5)\/(-2)). Let v(r) be the third derivative of 0*r**3 + 0 - a*r**2 + 0*r - 1\/210*r**5 + 0*r**4. Find u, given that v(u) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5 = -2*g - 5*k - 7, 0 = -3*g - 3*k for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17 - 38.5. Let t = l - -19. Let p = t - -2.3. Which is the nearest to 1?  (a) 0.2  (b) -0.4  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 11*b**3 - 11*b**2 + 11*b + 13. Let j(t) = 8492 + 0*t**2 - 5*t**2 - 8485 + 5*t + 5*t**3 + 0*t**2. Determine 7*j(u) - 3*p(u).\nAnswer: 2*u**3 - 2*u**2 + 2*u + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -71802871 or -71802876?\nAnswer: -71802871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -49*v - 6 - 190 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/(u\/(u*u\/u**16)))\/(u\/(u\/(u**4*u))))**47\/(((u\/(u*u**0))\/((u\/(u\/(u\/(u*u**6))))\/u))\/(u**(-7)\/(u\/(u\/u**(-6))))) assuming u is positive.\nAnswer: u**(-901)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m, 1 h, and 1 a when four letters picked without replacement from agaamfhaam?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 988.8*16\nAnswer: 15820.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 42 = 4*c + 13, 4*g + 17 = c. Let d = 3 - 1. What is the units digit of (g\/2)\/(d\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 195 + -159. Calculate the highest common divisor of 288 and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 4, g: 2}. Give prob of sequence cgcc.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2 - (-1 + (-23)\/3)\/(8\/48). Calculate the greatest common factor of x and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -36 + 43. Let c(s) = s**3 - 8*s**2 + 4*s + 15. Let v be c(k). What are the prime factors of (-2 + 9\/6)*v - -34?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -7471, -15019, -22615, -30259, -37951?\n\"Answer: -24*u**2 - 7476*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -53 + -6. Let q = 27 + v. Let m = -32.9 - q. Which is bigger: m or -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.029*-0.50838\nAnswer: 0.01474302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18)\/(sqrt(27)\/sqrt(3)) + 5.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-310)\/(-90))\/((-16)\/432).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 6*d + 540 - 726 = 0, -4*d = -5*i + 96 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2997348*v = 2997179*v - 2873 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 2 q when three letters picked without replacement from hqqu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t + 1. Let z be 6\/(((-12)\/3)\/(-24)*9). Suppose -i = -0*u + 4*u - 7, 2*i + z = u. Let c(k) = 4. What is u*g(m) + c(m)?\nAnswer: 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -442?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w - 0*w + 65. Let o = w + 74. Calculate the remainder when o is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00011098228 to seven dps.\nAnswer: -0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 8\/3 + 10\/(-15). Factor 1 + z**2 - 11 + x*z**2 + 7.\nAnswer: 3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -32896, 11, 3, 5, 0, 8 in ascending order.\nAnswer: -32896, 0, 3, 5, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 129\/2106536*(14955\/(-9))\/(-1). Let p = l - -47\/4463. Find the common denominator of p and -33\/10.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -160, -633, -1422, -2527, -3948?\n\"Answer: -158*h**2 + h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) be the second derivative of -5*p**7\/42 + 31*p**6\/6 - 351*p**5\/4 + 3075*p**4\/4 - 3780*p**3 + 10530*p**2 - 96*p - 2. What is d in i(d) = 0?\nAnswer: 3, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3580*w + 2 - 199*w - 5.\nAnswer: -3779*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Do 2090 and 2092 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 3, l: 1, k: 2, n: 6, d: 5}. What is prob of sequence dl?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -1\/4  (c) -1.1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -11*p - 364. What is h(-21)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((l\/((l\/(l*l**(1\/4)\/l*l))\/l))\/l)\/l)\/l**(-2\/11))**(-41))**4)**(1\/30) assuming l is positive.\nAnswer: l**(-779\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and -364.\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bqq when three letters picked without replacement from bbbmbqmmmmmqmmqmq?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -219 - -221. Suppose -32 - 80 = -o*w. Calculate the least common multiple of w and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 2 - 1)*(1 - y - 1)*(1 - 1 + 2*y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -48797 bigger than -48613?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5750149, -5750151, -5750153?\nAnswer: -5750155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 97303\/11 - 8852. Is s > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10 + 8 + (-4 - -8) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 - -23. Let s(b) = b - 1. Let j be s(d). Let r be (3 - 4)*(j - 4). Solve 0 = -10*f + r*f + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101102 (base 4) in base 11?\nAnswer: -916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b + 2 = -j + 3*j, 2*j + 5*b = -12. Let y = j + -4. Let u be (2 - y) + (-10)\/(-2). Let a(c) = c**2 - 12*c - 8. Give a(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 891.\nAnswer: -1\/297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 11450, 45811, 103088, 183287, 286414, 412475, 561476?\n\"Answer: d**3 + 11452*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 19823633 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24 and 6552.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 24\/(-24)*(-4)\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*y + 46. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/75)\/((-1)\/135*-10).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let 128*y**5\/9 - 2720*y**4\/3 - 15064*y**3\/3 - 80458*y**2\/9 - 15778*y\/3 = 0. What is y?\nAnswer: -7\/4, 0, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 10*f**5 - 14*f**4 + 4*f**3 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 142 - 132. Let p be (5\/r)\/((-3)\/(-72)). Calculate the remainder when 69 is divided by p\/(-9) - (-340)\/30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l + 5*l - 2*l - 2 + 2*l. What is i(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -t + 4*g - 11, 3*g = -2*t + 17. Suppose -h = -5*s - 3*h - 49496, -t*s - 39590 = 5*h. Round s to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2926150, 2926151, 2926152?\nAnswer: 2926153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = 3*s - 65, 0 = s - 3*s - w + 45. Suppose -16*h + s*h = 56. Calculate the remainder when 24 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2299 and 605.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48943348.\nAnswer: 2, 3119, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1010110010 - -10?\nAnswer: 1010110020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7.01938 + -0.01938. What is the nearest to 0.06 in 0.2, c, 0.3, 2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*l = 25*l + 12. Solve -z = -l + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 276 - 232. Let v(a) = 66*a**2 + 25*a + 46. What is the remainder when v(-2) is divided by m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13907037911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 15) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = 3*o - 2*r, 5 = 3*o - 7*r - 20 + 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 526477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 34 + 1 - v**2)*(-3 + 3 - 2) + (4 - 2*v - 4)*(-2*v + 2*v + 2*v).\nAnswer: -2*v**2 - 70","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*x**4 - 5*x**4 - 3*x**4 + 7176 + x - 7177 + 461*x**3 + x**2 + x**2 to the form p*x**4 + k + o*x + m*x**3 + a*x**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3 + -42232?\nAnswer: -42240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12 - -321141?\nAnswer: 321126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -362257, -362227, -362177, -362107, -362017, -361907?\nAnswer: -361777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oi when two letters picked without replacement from iinio?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -45*w**3 + w**4 + 14*w**3 + 5*w**3 - 3*w**4 - w**2 + w as s*w**3 + f*w**4 + d*w + g*w**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (30\/9)\/5*(-4)\/((-8)\/11).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = t, p - 3*t = 2*p. Suppose -5*d - 2 + 7 = p. Let f(v) = -7*v**2 + v. Let c(g) = g**2. Suppose -7 = -4*l + 17. Determine d*f(x) + l*c(x).\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yjeycjzncjzcz. Give prob of picking 1 y and 2 c.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -22*g**4 + 1016*g**3 + 14886*g**2 + 11296*g - 2552 = 0. Calculate g.\nAnswer: -11, -1, 2\/11, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -q + 5, -4*q = 3*s - 2 - 18. Suppose s = 11*j - 4*j - 1162. What are the prime factors of j?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/9)\/x)**(-6) assuming x is positive.\nAnswer: x**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m. Let p(f) = -f**3 + 3*f**2 - f + 6. Let o be p(4). Let k(z) = 8*z - 1. What is o*n(j) - 2*k(j)?\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -3*x + 5*u + 7278, -6*u = -x + 3639. List the prime factors of x.\nAnswer: 3, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14\/3*9\/(-6). Let u be 333\/12 - (12\/16 - 1). Let k be (q\/u)\/(10\/16). Which is the third smallest value?  (a) k  (b) -0.3  (c) -2\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 920308 and 8.\nAnswer: 1840616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16225114*k**3 - 3897*k**2 - 797*k wrt k.\nAnswer: 97350684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1474\/9 - -164. What is the smallest value in 1\/6, a, 1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -693.8 - -692.8. Which is the nearest to q?  (a) -0.013  (b) 5\/4  (c) 7  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 36720\/1296*(-7)\/(105\/(-9))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -10*j**4 + 10*j**3 - 20*j**2 + 2*j. Let s(h) = 9*h**4 - 11*h**3 + 20*h**2 - 3*h. Let c(q) = 5*p(q) + 6*s(q). Let c(l) = 0. What is l?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 0.4, -0.1, -1\/21, -5, 15.\nAnswer: -5, -0.1, -1\/21, 0.1, 0.4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fa when two letters picked without replacement from {a: 1, u: 2, l: 2, f: 1, k: 6, w: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(5*(sqrt(637) - sqrt(637)*-2) - ((sqrt(637) + 0)*-1)**2).\nAnswer: -3185 + 525*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - y - 13. Determine a(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20220.\nAnswer: 2, 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.4 - -0.1. Let p = -93 + 92.9. Which is the nearest to p?  (a) 0  (b) 2\/5  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 23800 and 4949380?\nAnswer: 346456600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = 7*a**3 - 2*a**2 + a. What is the lowest common multiple of 7 and w(1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -j**4*s**3 + 6152*j**4*s + 684*j**2*s**2 + 4*s**3 wrt j.\nAnswer: -24*j*s**3 + 147648*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -4 times -13208\nAnswer: 52832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1320\/(-44) + (-2)\/28*-441.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -86 + 87. Let p be (l + (-25)\/4)\/(111\/(-2368)). What is the highest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11*c + 18*c**5 + 9*c + 2*c - 32*c**2 wrt c.\nAnswer: 1080*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7.03947773 to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 5 = -5. Solve -j*t + 0 = 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 620 and 190960.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 30289741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -49, 4, 30, -4, -88 in descending order.\nAnswer: 30, 4, -4, -49, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -3  (b) 126  (c) 10\/11  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (4\/(-6))\/((-32)\/(-144))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**3 - 9*v**2 + 10*v - 6. Let y be w(-10). Let r be 5\/15 - (5428\/y + 0). Let q = r - 2690\/3. Do q and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 + 4\/30 + 17\/(3060\/(-24)). Let i(n) = -n - 1. Let q(p) = -5*p - 86. Let w(u) = 6*i(u) - q(u). Is w(b) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**6\/60 - c**5\/20 + c**4\/6 - c**3\/2 - 3*c**2. What is the lowest common multiple of 1 and j(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the first derivative of -1\/3*y**3 - 9*y + 5 - 4*y**2. Calculate q(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*t = -42*t. Let m be (-2 - (-2 + 0))\/1. Suppose 2*q - 9 - 1 = m. Solve t = 2*u + 4, 2*r - q*u - 9 - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.172 - -0.27.\nAnswer: 0.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -292, -289, -284, -277?\nAnswer: -268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -424*h**2 + h**3 + 210*h**2 + 203*h**2 in the form b*h**2 + c*h + x + j*h**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3406, 14659, 33454, 59803, 93718, 135211, 184294?\nAnswer: 240979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 156566 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1189 + -43a7?\nAnswer: -321b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-21111)\/180)\/(228\/10). Let g = s - -5\/152. Find the common denominator of -7\/5 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 50092 divided by 12523?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-5)*(-20)\/8. Let l be r + -3 + (-1 - 20). Let g = -16 - l. What is the remainder when 16 is divided by g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 16 - -955453?\nAnswer: 955469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t + 2*t - 4*t)*(-1 + 3 - 4) + t - 5*t + 0*t + (-4 - 1 + 0)*(-3*t + 3*t - t).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -149 = -3*m - 2. Let t be 26542\/276 + 1\/(-6). Let c = t + -78. Calculate the remainder when m is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.40873 * -28\nAnswer: 67.44444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 123 and 176.\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.19, 0.5, 3\/5, -4, -3\/7, 4 in increasing order.\nAnswer: -4, -3\/7, -0.19, 0.5, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 + -18. Let l(g) = -9*g**u - 4*g + g + 5 + 17*g**2. Let x(m) = -3*m**2 + m - 2. Give 4*l(i) + 11*x(i).\nAnswer: -i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*w = w + 15. What is the units digit of (1 + -2)\/(w\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a microgram in nanograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**3 + 5*r**2 + 15*r - 51. Determine d(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -107 or -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1060*f + 1048*f = 108 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42 - (50 - 70)) + 33 + (-2 - (-4 + -1))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 22022 and 546?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -68 + 70. Sort i, -1, 0.4 in descending order.\nAnswer: i, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -22182, -88479, -198974, -353667, -552558?\n\"Answer: -22099*s**2 - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + -7. Let f be 8\/d*45\/(-6). Factor -2*o + f*o**3 + 3*o + o**5 + 5*o**4 + 4*o**2 - o**4.\nAnswer: o*(o + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**2 + 11*r - 13. Let f be p(9). Suppose f*z + 0 = 15. Solve 2*m + 3 = z*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10521\/259518 + (-7986)\/(-148)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8504.8 - -3656.7. What is i rounded to the nearest ten?\nAnswer: -4850","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 2*t - 6*t + 7*t + 9 - 4*t. Let s be z(5). What is the second derivative of 4*f**4 + 8*f + f**4 + 3*f**s wrt f?\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.3?  (a) -10  (b) -3\/10  (c) 2  (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -f**2 - 432*f. Let y(h) = 3*h - 24. Determine n(y(w)).\nAnswer: -9*w**2 - 1152*w + 9792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 13 + -26. Let o = 8 + v. Let z = -53 - -58. Which is the smallest value?  (a) -4  (b) z  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 63465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 494246 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 154 + -152. Suppose z*b = -8 + 16. Solve 4*v + 3*g = b, -v + 0*g + 8 = -g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - x = -4. Suppose 0 = -2*g + 3*t, 0*t = -x*g - 3*t + 12. Sort 2, g, -4 in decreasing order.\nAnswer: g, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -5*w**5 + 895*w**4 + 41640*w**3 - 3507840*w**2 = 0.\nAnswer: -72, 0, 48, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(63\/264)*(-1323)\/1764.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 410075600 to the nearest integer?\nAnswer: 20250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 58\/(-60) + (-68)\/(-85). Which is the smallest value?  (a) 3\/2  (b) x  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}