{"text":"Question: What is the units digit of 427465\/642 - (2 + 13\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*w + 3*w - w**3)*(-145 - 93 - 41)*(8 - 5 + 4)*(-2*w + 4*w - 4*w) in the form t*w**2 + o*w**3 + g + f*w**4 + y*w and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:43 AM and 2:41 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 4128425275 to the power of 1\/2, to the nearest integer?\nAnswer: 64253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 15, 18, 9, -18, -69, -150, -267?\n\"Answer: -k**3 + 10*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) be the first derivative of -18*i + 0*i**2 - 3\/4*i**4 + 0*i**3 - 3 - i**5. Find the first derivative of d(n) wrt n.\nAnswer: -20*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u + o - 2 = 0, -4*u + 0*o + 3*o - 6 = 0. Let k = u + 4. Put -1, -3, k in ascending order.\nAnswer: -3, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(495\/230)*((-2998)\/1499)\/(8\/(-22))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -560 < -562?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q**3 - q**2 - q + 1. Let x be u(2). Suppose 0 = -3*y - n + x, -3*n - 2 = -n. Suppose j - 1 = y*k - 2, -4*j = -2*k + 18. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/(-11))\/(48\/6600*-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/((-405)\/(-18))*(-5)\/(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-126)\/12*(-28)\/(-392)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 4, i: 6}. Give prob of sequence mm.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 3*t + 38. Let r(m) = -2*m - 38. Let u(p) = -4*j(p) - 5*r(p). Let c be u(20). List the prime factors of (-1726)\/(-14) + c\/7.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times -11348\nAnswer: -2269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 8*l**4 - 2*l**2 - l + 2. Let s(t) = 72*t**4 + 102*t**2 - 10*t - 746. Let v(k) = 10*i(k) - s(k). What is the first derivative of v(b) wrt b?\nAnswer: 32*b**3 - 244*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p + 0*p - 12*p = 12, -4*i = -p + 12 - 13 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4325795102 to the power of 1\/2, to the nearest integer?\nAnswer: 65771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*s + 237 - 237)*(-1 - 1 - 2).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 647 - 926. What is the tens digit of g*(-3 + 1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yggggycygggygg. What is prob of sequence yyg?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-68)\/(-85))\/((-3)\/(-15)). Solve -n*w = 5*g - 5, -3*w + 2 + 3 = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, -1, 91 in increasing order.\nAnswer: -1, -1\/6, 91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -4*a**3 + a. Let j(l) = -l - 4 - 1 - 5. Let b be j(-11). Let o be x(b). Which is smaller: -5 or o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -60721, -58775, -56815, -54835, -52829, -50791, -48715, -46595?\nAnswer: -44425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 34*y - 34*y - 17218*y**3 + 2.\nAnswer: -17218*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-50)\/(-825)*((-9)\/(-5))\/3?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = l**2 + l + 4. Let h be y(0). Suppose 633 = h*b - 1331. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(2\/9)\/f*f)\/(f\/(f**(2\/5)\/f)))\/(f**2\/((f\/f**(-2\/7))\/f)))\/(f**7*f*f*(f\/((f*f*(f*f**(1\/7)\/f*f*f)\/f*f)\/f*f))\/f*f*(f*f**0)**9) assuming f is positive.\nAnswer: f**(-5654\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put together 729 and 23.\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -16.09*2\nAnswer: -32.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p**3 - p. Let d(h) = -44*h**3 - 11*h. Give 2*d(k) - 22*s(k).\nAnswer: -66*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -n + n - 2*n + (1 - 5 + 2)*(3*n - 4*n + 2*n) + (2 - 2 - n)*(0 + 0 + 1) to q*n + i and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*v**3 - 4*v**3 - 17*v + 5*v**3 - 28 - 3*v**3 wrt v.\nAnswer: -12*v**2 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine fifths of a century in months?\nAnswer: 6960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j**3 - 2*j**2. Let q be (-8)\/(-6 + 5) - 4. Let z(g) = g**3 - 2*g**2. Calculate q*z(w) - 3*n(w).\nAnswer: -2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + 800\/(-25) - 1*-19?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 648\/7 or 94?\nAnswer: 648\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000244884 to seven decimal places.\nAnswer: 0.0000245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0019766 rounded to 5 decimal places?\nAnswer: 0.00198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-30*s + 55*s - 12*s)*(0 + 1 + 3).\nAnswer: 52*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that -3*v**4\/7 + 33*v**3\/7 + 165*v**2\/7 + 219*v\/7 + 90\/7 = 0.\nAnswer: -2, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*i**2 + 2715*i - 13500.\nAnswer: -3*(i - 900)*(i - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c\/(c*c\/(c*c**16)))\/c**1)\/(c\/((c*c*c**(-13))\/c)*(c\/(c*c*c*c*c*(c\/(c**19\/c))\/c*c*c*c)*c)\/c) assuming c is positive.\nAnswer: c**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -83987 (base 10) to base 16.\nAnswer: -14813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2837766 is divided by 373.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 9. Let s be (-1107)\/(-351) - z\/(-13). What is the tens digit of 3*265\/15 - s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of 1\/3*r**2 - 1\/9*r**3 + 1\/30*r**5 - 1\/18*r**4 + r + 0. Factor s(p).\nAnswer: 2*(p - 1)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1648175413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = 15*x**3 + 7. Let f(w) = -w**3 - 1. What is 14*f(j) + 2*k(j)?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - g + 3*r = -1, 0 = 5*g + 2*r + 7. Let p(u) = 1. Let v(c) = c + 1. What is g*p(z) - v(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -3*a**2 + 20*a - 3. Suppose -93*v = -186 - 558. Give x(v).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -2*k - 10. Let y be (-16)\/88*-44*((-18)\/(-8))\/(-3). Give d(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 693279, 1386556, 2079833, 2773110?\nAnswer: 3466387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-126)\/(-210)*(2\/2)\/1. Let q be (-3)\/(-3) + -2 - 5. Sort q, -4, z in descending order.\nAnswer: z, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = 18*k + 10 - 27 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1410.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 2*f + 337 = 0, -2*o + 131 = -0*o + 3*f. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98.27809 micrograms in kilograms?\nAnswer: 0.00000009827809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2917211 > -2917212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - -1. Suppose -2 - d = 5*l. Let c = 7 + l. Calculate the remainder when 21 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 2 l when three letters picked without replacement from {r: 3, l: 11, q: 1}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 251 - 261. Let a be 0*(2 + 25\/s). Solve 0 = -3*q - a + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 89, 3, -3 in ascending order.\nAnswer: -3, 0, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 38 = -4*t - b, 5*t - 4*b + 28 = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 401 is divided by 95.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + ((-485)\/70 - -2)*(-8)\/(-12).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 + 9*i**2 + 12*i - 14. Let n be y(10). Calculate the highest common factor of n and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 1 - (-5 + 38)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8532 divided by 6?\nAnswer: 1422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12961?  (a) 1\/2  (b) 3  (c) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from {t: 6, k: 2, o: 1, n: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (261\/(-1392))\/((-70)\/(-224))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1387069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.017344 to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -18*y**2 + 5267*y - 118761. Calculate p(268).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 120 + -12?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10817.\nAnswer: 29, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -58328553 != -58328553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -11 - (15 - (27 + 2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) -0.058  (b) -4  (c) -1\/8  (d) 24  (e) -12\/73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16258 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 d when three letters picked without replacement from {y: 1, f: 2, d: 2, p: 1, m: 4, u: 4}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -132 = -6*f + 10*f. Let u = -28 - f. Let l = 17 - u. Solve 2 = 2*m + l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o\/o**(-6\/7)*o)**50 assuming o is positive.\nAnswer: o**(1350\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-368)\/(-26) - (-10)\/(-65). Suppose 0 = 9*r - z*r - 20. What is the smallest common multiple of 4 and (-2)\/(2\/4*r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/226589 and 14\/638569.\nAnswer: 7024259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 12825\/2 - 6412. What is the second smallest value in x, -2\/47, 1\/4, -1, 1?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**5*x**(3\/7)*x*x**(-6)\/(x\/(x*x\/x**4)) assuming x is positive.\nAnswer: x**(-18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 4242 - 4239. Let x(l) = -l**2 + 8*l - 4. Let k be x(7). What is the lowest common multiple of 70*(k\/(-2) - -2) and p?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 871 + -868. Let o = 0.16 + 0.14. Let n = 0.4 - o. Which is the third smallest value?  (a) 2  (b) n  (c) x  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f**3 - 98*f**2 - 464*f + 95. Let p be u(-93). What is a in -2\/9*a**p + 22\/9 - 20\/9*a = 0?\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.9 - -0.1. Sort g, -1, -2 in decreasing order.\nAnswer: g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*w - 46 = -10*c, 101*c - 13 = 97*c + 3*w for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 + 27*r**2 - 132*r - 535. Let x be o(18). Let k = -16 + 11. Sort x, 0.1, -9, k in descending order.\nAnswer: x, 0.1, k, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -10*(-14)\/840*-6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -3342.4 * 26\nAnswer: -86902.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((x*x**(-2\/17)*x)\/x)\/x*x*x**(3\/11)*((x**(2\/3)\/x)\/x)**(-23))**(-1\/6) assuming x is positive.\nAnswer: x**(-8926\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 d and 1 z when four letters picked without replacement from fhfzdhfhzfdddfh?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*s - 66 = 39*s. Solve -s*u = 1 - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68584 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 30?  (a) 19  (b) -0.2  (c) -4  (d) -0.7  (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 16371544 and 84728?\nAnswer: 1457067416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4926 (base 15) to base 16.\nAnswer: -3cc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 333145.79 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-45)\/50*3\/(9\/2))\/(93510\/519500).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**3 - 4*a**2 + 2*a + 2. Let y(q) = 6*q**3 + 19*q**2 - 11*q - 7. Let m(z) = 11*k(z) + 2*y(z). Suppose 11 = 4*w - 13. Give m(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(60\/(-18))\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39025?\nAnswer: 5, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 33 + -33.5. What is the second smallest value in 9, -5, a, 1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 228332?\nAnswer: 2, 13, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-18)\/(-27)*21*-7. Let g = u + 156. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {l: 11, x: 2, z: 5, i: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/2*2 - -48. Suppose -5*i = -3*x - 31, 4*i + 0*x = -5*x + y. What is the derivative of -r + 11 + 3 - i + 8 wrt r?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -480.1 - 96.9. Let b = -11.684928 + 588.708228. Let f = i + b. Round f to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:40 AM and 11:26 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from {l: 1, y: 2, w: 8, z: 3, f: 5}.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (3 + 135\/(-25))\/((-18)\/60)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.9 + 3.1. Suppose 0 = -3*t + 6 - 0. Which is the second biggest value?  (a) y  (b) 3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 411495 is divided by 1864.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 PM and 11:50 PM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 7492 and 10.51623?\nAnswer: 7481.48377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**3 - 2*s**2 + s. Let l(m) = -9*m**3 + 4*m**2 + 3. Let t(z) = -7*z**3 + 4*z**2 - z + 2. Let f(r) = -2*l(r) + 3*t(r). Give -2*f(h) - 5*y(h).\nAnswer: -4*h**3 + 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -274, -3023, -11060, -27199, -54254, -95039, -152368?\nAnswer: -229055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -7 (base 12) to base 8\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -2*r**3 + 20*r**2 - 13*r - 14. What is the remainder when y(7) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17142779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0  (b) 0.12565  (c) -3  (d) 1  (e) -2\/3  (f) 2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 43555253 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2\/11  (b) 0.1  (c) 5  (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(6) + sqrt(96)))\/(sqrt(21)\/(1*sqrt(7)) + sqrt(3)) - (sqrt(242) - (sqrt(242) + sqrt(242) + 2*sqrt(242) + -4)**2 - (4*(sqrt(242) + -2))**2).\nAnswer: -2139*sqrt(2)\/2 + 7824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 442 a factor of 496853968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 152174377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.1, 31, 12, -1891?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/4201 in -2\/15, -0.1, 1, -1\/3, 8\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*z**2 + z**3 - 9*z - 10*z**3 + 10*z**3 - 7*z**2 to the form g + y*z**3 + m*z + v*z**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -6*c**3 + 14*c**2 - 17*c + 14. Let x(z) = 2*z**3 - 5*z**2 + 7*z - 5. Determine -4*l(j) - 11*x(j).\nAnswer: 2*j**3 - j**2 - 9*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find v such that -5*v**3 + 18365*v**2 + 20984200*v + 5288262180 = 0.\nAnswer: -478, 4629","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of x**2 - 6*x**5 + 0*x**5 - x**5 - 7*x**2 wrt x?\nAnswer: -420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 4:01 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**3 - 5*w**2 + 2*w + 4. Let x(m) = -m**3 + 8*m**2 + 9*m - 5. Let t(v) = 2*v - 5. Let i be t(7). Let g be x(i). Give b(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.2 - -0.49. Let j = k - -0.81. Let i = 0.34 + 0.06. Which is the closest to j?  (a) 3  (b) i  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -15799, -63183, -142147, -252691, -394815?\n\"Answer: -15790*z**2 - 14*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) be the first derivative of a**6\/360 + 4*a**3\/3 + 4. Let n(x) be the third derivative of i(x). Let v(f) = -2*f. Give v(n(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**2 - 5*h - 1. Let l be u(4). Let z be (-3 - l)\/(2\/3). Suppose p - 2 = z*a + 2, 4*a = p - 1. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 4*i**3 - 7*i**2 - 9*i - 6. Let t(k) = -3*k**3 + 8*k**2 + 9*k + 5. Let b(v) = 2*m(v) + 3*t(v). List the prime factors of b(9).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31 - 31.1. Let u = -56 + 55. Let b be 2\/4*(-4)\/6. What is the nearest to -1 in u, b, o?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -15, -57, -127, -225, -351, -505, -687?\n\"Answer: -14*o**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 245639957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74*l + 539*l - 827*l + 75*l + 63*l + 75*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*f**3 + f**3 + 0*f**3 - 2*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 445.6298 to 0 decimal places.\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.052 - 0.212. Let o = u + 21.56. Let s = o + -21. What is the biggest value in s, 1\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 656024\/9 - 72774. Which is greater: 0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -21 and -13.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) be the first derivative of -8*a**3\/3 - 2771. Let t(f) = -1379*f. What is t(w(p))?\nAnswer: 11032*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 2942 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = 9*r - 288. Let y(l) = -32*l + 1. Let h be y(-1). Let p be j(h). Solve 2*u = 4*m - p - 17, 2*u = -4*m + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 3*j - 4 = -6, 2*h + 2*j + 2 = 0. Let m = 1 - h. Let u = 3 - m. Solve -q + 33 = 3*q - 5*o, u*o + 17 = q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 79.9 - 40.6. Let b = y + -39. What is the nearest to -2\/13 in b, -0.5, 2\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 6, s: 10, p: 2, j: 2}. Give prob of picking 3 w and 1 j.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 7189 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000442694 rounded to 7 dps?\nAnswer: 0.0000443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - 3 - -13) + 5 + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 258722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -3*m**2 + 1 - 2*m - 2*m**2 + 3*m**2. Suppose 0*n - 5*l = 3*n - 9, -2*n - 2*l + 2 = 0. Let y = n - 0. Give c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -991.47 to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/8 and (-10 + 4)*(-33)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 243420 to the nearest 1000.\nAnswer: 243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) + sqrt(720) + sqrt(720)*2)**2 - (2 + sqrt(500)))*-6.\nAnswer: -41058 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 414730 and 268.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 PM and 11:48 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -4274*v**4 + 4*v**3 - 12*v**2 + 2328. Let y(u) = -4*u**4 + u**3 - 3*u**2 + 1. Let a(c) = p(c) - 4*y(c). What is the derivative of a(j) wrt j?\nAnswer: -17032*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q = -2*n - 5, -8*n = -4*q - 13*n - 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2625*x = 2801*x - 665051 + 203841 for x.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -4 divided by 354\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 986616142.\nAnswer: 2, 23, 71, 269, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12.04 - 12. Let m = 0.088608 + -0.048506. Let k = m - n. Round k to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 + 15*i**2 + 16*i + 2. Let w be n(16). Let t(g) = g**w + 176 - 176. Let r(b) = -19*b. Give t(r(d)).\nAnswer: 361*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 5*p**4 + p**3 - 5*p**2 + 5*p. Let g(q) = -14*q**4 - 2*q**3 + 14*q**2 - 14*q. Let x(r) = -3*g(r) - 8*s(r). Let x(a) = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*i = 1 - 31. Let 20*x - 4*x**2 + x**2 + 8 + 4*x**3 + 19*x**i = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -214\/75, -53, 0.5 in increasing order.\nAnswer: -53, -214\/75, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -83.\nAnswer: -16.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 5*z**2 + 185*z + 498. Determine k(-34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 217 - 214. Suppose g - 2 = 2*g. Put -3, g, q in decreasing order.\nAnswer: q, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 7809 + 13878*w**5 + 1172*w**5 + 125*w - 7781 wrt w.\nAnswer: 301000*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g = 2, -153*g = -13*c + 159*g - 333*g - 265 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o*o**(-1)\/o*o*o*o))**(4\/7)*(o**(-2\/25)*o)\/(o**7*o*o))**(2\/39))**(-42) assuming o is positive.\nAnswer: o**(6056\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16 divided by 10452.\nAnswer: -4\/2613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 962.5 - 961. Is -13 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -120 + 170. Is 3 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = 13*c - 35 + 41*c - 19*c - 41*c**2 - 24*c**2. Let y(g) = 11*g**2 - 6*g + 6. What is 6*x(m) + 35*y(m)?\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from zezeqzzeeebzee?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((3\/5)\/((-1017)\/3390))\/(3\/(-39))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.2 + -1.3. What is the second biggest value in o, 3, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + v = -8, 0 = 2*f - 6*v + 3*v - 2. Let m be 7\/((-14)\/984) + f. Calculate the common denominator of -7\/12 and 7\/(-28) - m\/72.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3394 and 0.3.\nAnswer: -3393.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -77 - -71. Let h be ((-1)\/(1 - 2))\/((-2)\/o). Find the first derivative of -h*q**2 - 208*q**3 - 15 + 245*q**3 + 3*q**2 wrt q.\nAnswer: 111*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = 4*x**3 - 6*x**2 - 4. Suppose 16 = -0*y + 4*y. Let i(b) = 4*b**3 - 7*b**2 - 5. Let o(t) = y*i(t) - 5*w(t). What is the third derivative of o(l) wrt l?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 516537000 rounded to the nearest one million?\nAnswer: 517000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at least 5\/701884?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2.09 + -2. Let v = -0.08 + w. What is v rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -q**2 - 13*q + 99. Let y be k(-14). Is y bigger than 79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 81 + 16523?\nAnswer: 165a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -18.2 from 0.021.\nAnswer: 18.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -2*i**4\/7 - 1210*i**3\/7 - 3618*i**2\/7 - 3614*i\/7 - 172 = 0.\nAnswer: -602, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ttxttttxtttttttxtxx. What is prob of sequence txt?\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1455218273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -379 (base 10) in base 11?\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:59 AM and 2:36 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31*h + 5 - 3 - 5 to g*h + m and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 1.964889 meters?\nAnswer: 1964889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 75\/23804 and 27\/4.\nAnswer: 23804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/(p\/p**(1\/2)))**10)**0*(p*p*p**(-5)*p*p**(-1\/4))**(1\/14) assuming p is positive.\nAnswer: p**(-9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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 -63937142 at least -63937147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 29824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = -0*b + b - 22, -2*c = -3*b + 65. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 91990321 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q*q**(-1\/3)*q*q*q\/q**(-1\/3)*q*(q**20)**(-19) assuming q is positive.\nAnswer: q**(-375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2988 = -3*c - 3*f, -4*c + 5*f = -2998 - 977. Suppose c - 190 = 23*k. Sort 0, -2\/7, k, 2\/13.\nAnswer: -2\/7, 0, 2\/13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) be the first derivative of -11*z**4\/4 + 23*z**3\/3 - 6. Find the third derivative of h(v) wrt v.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1994 + -910. Suppose -5*n + m + 616 = 0. Suppose 4*c + 4*g - n = 0, -5*c - 3*g = -g - 437. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*p**5 + 5*p**5 - 4*p**5 + (p - p + 4*p)*(3*p**3 - 2*p**4 - 3*p**3) + (2*p**4 - p**2 + p**2)*(0*p + 2*p - 4*p).\nAnswer: -13*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 40*u**3 + 171*u**2 - 301*u + 160. Let j(k) = 11*k**3 + 57*k**2 - 101*k + 53. Let i(x) = -7*j(x) + 2*m(x). Factor i(q).\nAnswer: 3*(q - 17)*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 2*j**2 - 5*j + 15. Let f be n(4). Suppose 0 = -4*q + f - 23. Which is bigger: q or -2\/125?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -63550329, -63550328, -63550327, -63550326, -63550325, -63550324?\nAnswer: -63550323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 319007 and 1153333.\nAnswer: 14993329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 3278*c**2 - 1 + 1 - 561*c - 3301*c**2 + 107*c. Let a(s) = -s. Give a(w(p)).\nAnswer: 23*p**2 + 454*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 160 + 8 = -28*v. Let o be -1*(45\/v - -7). What is the third biggest value in -34, o, -4?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 2*u**2 - 4*u + 2. Let h be i(2). Suppose 11 = -3*j - 4*w - 13, 0 = 4*j + h*w + 22. What is the smallest common multiple of 18\/(-2)*j\/6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a - 11*a - 91 = 0. Sort 5, -3, a in increasing order.\nAnswer: a, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 30.44 and -0.4.\nAnswer: -12.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 4633884 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does -68276 = -136551\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = g**2 - 8*g + 5. Suppose 18*o = 19 + 71. Give n(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 7964*b - 9212?\nAnswer: 7964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b**3 + b**2 - 2*b + 2. Let w(r) = 2*r**3 + 21*r**2 - 4*r + 2. Calculate -2*h(u) + w(u).\nAnswer: 4*u**3 + 19*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of r**8\/1848 + 2*r**7\/55 + 31*r**6\/60 + 106*r**2 - 23. What is a in u(a) = 0?\nAnswer: -31, -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 840\/160)\/(7\/(196\/(-707)))?\nAnswer: -3\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-50*p - 5*p + 12*p)*(2 - 2 + 4)*(0 - 4 + 2).\nAnswer: 344*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 9 - 19 = 0. Suppose 2*k - 4*j - 18 = 0, 143*k - 139*k - 64 = j. Solve 3*b + z*u - 31 = -2*b, 0 = 4*b - u - k for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -133, -4, 0.05, -7.8, 6?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 473.47 or 13?\nAnswer: 473.47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.2 - -7.8. Let s = -8 + r. Is s equal to -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - g - 11704, -5*i + g = 10407 - 68927. Suppose -34*r + i + 7030 = 0. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7761?\nAnswer: 3, 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Add -4801446.97 and -3.\nAnswer: -4801449.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ojhhoooojjmmumbjob.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -341.15 - -349. Let b = k + 1.15. Is -3 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 4:43 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (h**3 + 4*h**3 - 8*h**3 + 1 + 3*h)*(0 + 2*h + 0).\nAnswer: -6*h**4 + 6*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 10 - 7. Suppose 0 = 3*m - b*j + 4*j - 9, -m = -4*j - 16. Solve r = -m*r + 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3455440 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 4:48 AM and 11:29 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*((-6*sqrt(513) + sqrt(57))\/(-4*(sqrt(27) + sqrt(3))) - (-3 + -3*sqrt(19) - (sqrt(19) - (-3 + sqrt(19))*-5))))**2.\nAnswer: -4347*sqrt(19)\/2 + 4764267\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 327731\/152577 - -1\/5651. Let x = -29\/8 + 203\/24. Find the common denominator of x and q.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1005322287 rounded to 5 decimal places?\nAnswer: 0.10053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 22236, 88973, 200202, 355923, 556136?\n\"Answer: 22246*p**2 - p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 153*f*p**5 - 2*f*p + 6*f*z - 231*p**4*z - 3*p*z - 2*z - 57 wrt p.\nAnswer: 3060*f*p**3 - 2772*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.45167925 to 3 dps.\nAnswer: -0.452","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -969.14 + 971.14. Let m = 2 + -3. Which is the nearest to m?  (a) u  (b) -0.1  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -35 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 7*g**2 + 73*g + 40. What are the prime factors of r(-13)?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 14*x**3 - 2*x**2 + x + 1. Let v = 10 + -9. Let q be n(v). Find the second derivative of -2 + 17*l - q*l**2 + 4 - 2 wrt l.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -77.93535 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-13016)\/(-12) - 11)*(5 - 2) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**1\/(k**(-2)\/k*k))\/((k**3*k)\/k**(-2)))\/(k\/(((k\/(k**(-5\/2)*k))\/k)\/k)*k**(-1\/8)*(k**0)**(-4\/11)) assuming k is positive.\nAnswer: k**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zvvu when four letters picked without replacement from vvvzuvcu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/17, -5, 0.5, 33\/481, -0.2, -0.4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {c: 2, s: 1, a: 2, t: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 558224797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, v: 1, p: 4, x: 1, o: 3}. Give prob of sequence pv.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {v: 3, i: 9}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 738\/219949 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8.889 - 0.011. Let t = -10.63 - o. Round t to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20 by -15.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 10*c + 52. Calculate s(-19).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t = -2*k - 5*t + 10, 0 = 5*k - 7*t + 43 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -359*u - 56131. Calculate z(-156).\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3276717026 to the nearest integer?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llee when four letters picked without replacement from llelelll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -70, -72, -74, -76?\n\"Answer: -2*z - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -201 - -75. Let r be 29\/(-14) + (-72)\/p. Sort -2, r, 5, -17 in increasing order.\nAnswer: -17, -2, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 24*c**2 + 66*c + 1839. Let s(p) = -23*p**2 - 65*p - 1826. Let r(k) = -6*s(k) - 5*t(k). What is the derivative of r(h) wrt h?\nAnswer: 36*h + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-9 - -21) - -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = r**2 - 8*r + 9. Let s be l(7). Let w = 1 + -1. Solve 3*y - v + 11 = w, s*y + 13 + 1 = -v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n = 7*n - 4*i + 28, n = 2*i - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*g - 65*g - 15884. Is -1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 less than 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 2. Let z(c) = -c**2. Let f = 35 - 31. Let l(y) = 4*y**3 - 12*y**2 - 4*y + 8. Let i(w) = f*z(w) + v*l(w). Factor i(n).\nAnswer: -4*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -8*x - 166. Let k be s(-11). What is the remainder when 86 is divided by k\/(-2) + 65 + -67?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -689*f = -671*f - 72 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13 - 13.0000018. What is i rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.0054 - -296.\nAnswer: 295.9946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 217?  (a) 0.2266  (b) -0.2  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 53 by 10242.\nAnswer: 53\/10242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.27726935669+-560\nAnswer: -559.72273064331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1003 - 1003 - g**2 + 8*g.\nAnswer: -g*(g - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) -1  (c) 3  (d) 0.03  (e) -38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -248 (base 9) to base 11\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 - -2 - (38 - 27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*s - 3*y - 70, -4*s - 105*y + 106*y = -49 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 3*n - 1. Let v be u(0). Let f be 12\/10*((-150)\/(-9))\/(-5). Put v, -20, f in increasing order.\nAnswer: -20, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66 divided by -2.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*(-2 + -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -j**3 - 3 + 3 + (2*j**2 - j + j)*(-2*j - 7*j + 4*j).\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -10\/7 less than -23242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 673 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 25656451 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -38 + -15 + 135 - 20?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -20651\/32 bigger than -645?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 313403 - 413?\nAnswer: 312770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2 - 16930*l.\nAnswer: 5*l*(l - 3386)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -206*v - 5173. What is t(-24)?\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.0338 + -0.0338. Which is the second biggest value?  (a) -4\/9  (b) i  (c) 2\/23  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 132 = 5*b - 19*b - 22 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 152 + -97. Let w = c + -39. Is w equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {s: 1, r: 1, f: 1, l: 1, c: 2, o: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15 - -15. Suppose 17*o - 8 = 26. Solve k - o*k = n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + (-1 - -14) - -31?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17 and 1513.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 51 + -55. Let z(s) = -s**2 + 20*s + 8. Let w(i) = i**2 - 19*i - 8. Let b(l) = h*w(l) - 3*z(l). What are the prime factors of b(14)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a**2 - 51*a + 474. Let h be v(39). Solve 5*n = 20, -4*f + 9*n + 8 = h*n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 78285289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -9 - -4. Is i equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3*-2477\nAnswer: -7431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 + v**2 - v - 1. Let j(s) = 3*s**3 + 4*s**2 - 4*s - 4. Let h = 24 + -28. What is h*n(g) + j(g)?\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 43 in -0.5, 2\/11, 1\/4, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 131*o + 130*o - 266*o. Suppose -6 + 4 = -i. Let p(w) = -w - w**i + w. Give p(v(q)).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b = -2*q + 14, -q = 2*b - 4*q + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -111 divided by 4?\nAnswer: -111\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor g**5\/4 + 19*g**4\/4 + 115*g**3\/4 + 241*g**2\/4 + 52*g + 16.\nAnswer: (g + 1)**3*(g + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z**2 + 2*z**4 + 2*z**2 + 3*z**4 + 2*z**4 + z**4 + (-2 + 4 - 1)*(-2 + 2 + 8*z**4).\nAnswer: 16*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p\/((((p*p**(-2\/7))\/p*p)\/p)\/p*p))**(-6\/19))**(36\/7)\/(p**6\/(((p**(-4)*p*p)\/p)\/p))**(8\/11) assuming p is positive.\nAnswer: p**(-95864\/10241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 30\/(-75) - (3292\/(-8155) + 0). Let y = 28207\/130480 - m. Calculate the common denominator of y and 31\/56.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the first derivative of 1\/12*y**4 + 8\/3*y**2 + 63 + 7\/9*y**3 + 4*y. Suppose n(h) = 0. Calculate h.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 7:38 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000716 rounded to seven dps?\nAnswer: -0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3\/8, -0.5, 4, 3, 7, -1.09?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -r**3 - 8*r**2 - 7*r - 2. Let s be h(-7). Let j(g) = 10*g**2 + 2. Is 21 a factor of j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171 + 297 = 2*t. Suppose -t*d + 12 = -230*d. Solve 5*u = d*u - 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j - 7*j + 9*j + 5*j + 12 - 5*j to s + n*j and give s.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of 3*t**2\/2 + 14*t - 21. Let k(o) = -o - 5. Determine -6*i(x) - 17*k(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 353 or 0.0680753?\nAnswer: 0.0680753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 378 - 350. What is the common denominator of 52\/75 and (-8)\/v + 388\/(-63)?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 164097 is divided by 79.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 144620740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2 + -1. Let f be -4*p\/2*-4. Let m(w) = -f*w + 5*w - w + 3*w. Let q(d) = d**2. Give m(q(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1.21527 hours?\nAnswer: 72.9162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -5*k**2 + 460*k - 1741. What is the remainder when 31 is divided by m(88)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 71 in -4, 0.4, -1, -9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/o**(2\/5))**(10\/7)\/(o*o**(1\/3)*o*o*o**(2\/3)\/o*o*o*o) assuming o is positive.\nAnswer: o**(-36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -58769*p**4 - 7725*p**2 - p - 3.\nAnswer: -1410456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(((x*x\/(x\/(x**7*x)))\/x)\/x*x))*(x*x**1*x)\/x)\/(x*x\/(x\/x**7)*x**(-1)\/x) assuming x is positive.\nAnswer: x**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6098730 is divided by 1080.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -13, 149, 0 in decreasing order.\nAnswer: 149, 3, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*u - 21 = -7*u. Let n(v) = -v + 2. Let m be n(4). List the prime factors of (-279)\/(-21) - m\/u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 + 3. Suppose -52*p + 3 + 49 = 0. Suppose 2 = 2*g - 0*g. Which is the nearest to g?  (a) p  (b) k  (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7*a - 2*a - 2 - 3*a)*(4 - 1 - 1).\nAnswer: 4*a - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*a - 19*a - 7474 + 297036. Is a a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1018151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 146212 and 119628?\nAnswer: 1315908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 807.713146 rounded to 1 dp?\nAnswer: 807.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.937669804 rounded to 2 dps?\nAnswer: -5.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = 47*j - 95. Let t be r(17). Round t to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3 and -3945447?\nAnswer: 11836341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 1 - (1 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 892249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o + z - 2868 + 2883 = 0, 0 = -8*o - 5*z + 57 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*u = -4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27)\/(2673\/1800) - -18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.3 + 1. Suppose 15 = -2*t - 3*g, -g + 6 = -2*t + 11. Which is the nearest to 1?  (a) 3  (b) t  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-48)\/1320*-99*(-14)\/(-21))\/(66\/20). Factor -2\/11*o**5 + 0 - 12\/11*o**3 - 8\/11*o**4 - v*o**2 - 2\/11*o.\nAnswer: -2*o*(o + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (2*sqrt(121)*4)\/(sqrt(275) - (sqrt(275) + (sqrt(275) - (sqrt(275) - sqrt(275)*2))) - sqrt(275)) + -3.\nAnswer: -5 - 8*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + 0)*(-2 + 1). Let h = 2 + u. Suppose -49999984 = 5*t - 4*b, -h*b + 4*b = -5*t - 50000004. Round t to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -679 - -381. Let n be 12\/32 - v\/16. Suppose 3*o = -n + 73. Calculate the smallest common multiple of o and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/u**(1\/3))**(-34)\/(u*u\/u**(-2\/5)*u*u*u*u*u*u\/u**7) assuming u is positive.\nAnswer: u**(-361\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -146*y + 148*y = -2*m + 2, -3*y + 3*m = -27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 17, i: 2}. Give prob of sequence ii.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -197.8 + -3730524\nAnswer: -3730721.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000253493 rounded to six decimal places?\nAnswer: 0.000253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -22*m + 8. Let d(y) = -9*y + 3. Let c = 213 + -201. What is c*d(j) - 5*x(j)?\nAnswer: 2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/3*405\/2565?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 66477 is divided by 1543.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 1855700 divided by -35?\nAnswer: -53020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 39087*d + 2*d**2 - 39369*d + 4 - 4 in the form m*d + t*d**2 + y and give m.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 59\/64380 and 67\/4366.\nAnswer: 3798420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -7*o + 43. Let v(f) = -24*f + 129. Let x(d) = -7*p(d) + 2*v(d). Let r(q) = -11*q. Give r(x(b)).\nAnswer: -11*b + 473","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**5 - 3*g**5 + 0*g**5)*(-198 + 32 - 493).\nAnswer: 659*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*o - 3*o + 2*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 113208 and 12084.\nAnswer: 2150952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 241*u + 1. Let s be k(6). Suppose -5*v - 4*l = -1872 - s, -5*l + 1331 = 2*v. Let p(n) = v*n + 10*n**2 - 663*n. Let b(w) = -2*w**2. Determine p(b(o)).\nAnswer: 40*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 67*t**2 - 540*t + 540*t.\nAnswer: 67*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-1)\/(-2))\/(1\/80)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t = 5*z - 485 - 159, 3*z = 3*t + 381. Solve 18*p = -z + 38 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4\/6899 or 0?\nAnswer: 4\/6899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:24 PM and 7:35 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*z - 5*p + 7, 11*z - 7*z - 4*p - 20 = 0. Let o(v) = v**3 - 4*v**2 - v + 7. Let i be o(z). Solve 5*w - i*w = -10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 231265 to the power of 1\/2, to the nearest integer?\nAnswer: 481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -11*d. Let g(s) = -177946*s + 2. What is p(g(r))?\nAnswer: 1957406*r - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1839, 7377, 16583, 29469, 46047?\nAnswer: 66329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 8 and -18.218751?\nAnswer: -145.750008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 1, a: 1, s: 2, o: 2}. Give prob of sequence os.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = l - 3*t - 54, t = -l + 10. Let i be 2 + 48\/20 - (-2)\/(-5). Solve i*o = -0*o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -19 and -30.\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 9559343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**2 + 12297*s + 12296.\nAnswer: (s + 1)*(s + 12296)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m - 3*l + 61 = 2*m, -2*m + 31 = l. Let g = 252 + -76. Suppose 15 = 5*b, 0 = -4*f + 4*b + g. What is the remainder when f is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0 + 0. Suppose 4*n - 2*d = 76, -2*n + 5*d - 6 + 44 = x. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = b**2 - b. Let q(u) = -6*u**2 + 5*u + 9. Let c(o) = -q(o) - 5*t(o). Let z be c(3). Factor -3*x**2 + 0*x**3 + 3\/2 + z*x + 3\/2*x**4.\nAnswer: 3*(x - 1)**2*(x + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the second derivative of -y**3\/6 - 728*y. Let x(l) = 4285*l**2. Give v(x(m)).\nAnswer: -4285*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/8)\/c**2)\/(c\/(c\/((c\/c**(-1\/2))\/c)*c)*c)**(-1\/42)*((((c\/c**(2\/5))\/c)\/c)\/c)**(1\/2)*(c*c*c**(5\/2)\/c)\/c*c**4 assuming c is positive.\nAnswer: c**(2677\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -68650, -68657, -68666, -68677, -68690?\n\"Answer: -t**2 - 4*t - 68645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p - 2*p - 3*p)*(3*p + p - 6*p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15b (base 14) to base 9.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:38 PM and 5:38 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 5*f + 1. Let z(b) = 1140*b + 285. Let g(r) = -855*q(r) + 3*z(r). Let s(d) = 2*d**2. Give g(s(o)).\nAnswer: -1710*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (986 - 986 - 126*w)*(-w + w - 2*w).\nAnswer: 252*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 + 53. Suppose 2*o = 121 - a. Let x(i) = -3*i**3 + 3*i**2 - 3*i - 12. Let t be x(-2). Calculate the greatest common factor of t and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gmgnognngrmggcm. What is prob of sequence rmm?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 27 = -132. Suppose 0 = 5*r + 18 - v. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.7 + -1418\nAnswer: -1420.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/3)\/(10 + -8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 4, w: 1, o: 2, d: 1, n: 1}. What is prob of sequence ao?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -5*w - 1. Let z(u) = u. Let j(c) = -v(c) - 2*z(c). Calculate j(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -2*s + 11. Let b be m(-13). Let l = 40 - b. Suppose -f - 159 = -l*f - q, q = -5. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 85\/2 and -99\/4436?\nAnswer: 4436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/((-22)\/(-446970)) + (-58 - 5760\/(-99)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*g = 35*g + 2*p + 41, -16 = 2*p. What is the biggest value in g, 1\/55, -10.5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 12\/17, 0, -2.2365, -0.05 in decreasing order.\nAnswer: 12\/17, 0, -0.05, -2.2365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 1  (b) 427  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28 - -31. Is (1*154\/(-8))\/(t\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 5*n + 38, 0 = 4*i - 0*i + 3*n - 128. Solve 5*u - 3*w + 35 = 0, -5*w + 4 = -2*u - i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3 + -5. Let k(y) = -y**2 - 10*y - 11. Let q be k(a). Suppose 31 + 4 = q*w. What is the greatest common factor of w and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3*x**3 + 12 - 163*x**2 + 3*x**3 - 5*x - 7*x**3 - 5 wrt x.\nAnswer: -6*x - 326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**6*z**(1\/7)\/z)\/(z**6\/(z**6\/z))*((z\/(z**(-4\/7)\/z))**(-3))**(-24) assuming z is positive.\nAnswer: z**(1325\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 34138?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 44, 1826, -3, 14 in ascending order.\nAnswer: -3, 14, 44, 1826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by -150912.\nAnswer: -1\/50304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4661 - 4657. Solve -8 = m*i - 4*o, 5*i + 15 = 4*o + 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.324 + -0.324. Let c = -8 + 3. Let g(w) = w**2 + 4*w - 7. Let z be g(c). Which is smaller: z or s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*a - 32 + 7, -4*s - a = -17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2*1)\/2 - (-13 - 12). Let m be (y\/(-9) - -3)\/(3\/(-9)). Let z be 1\/4*2 - 1. Which is smaller: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 108 = -2*a - 6, p + 12 = -2*a - 30 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 + z + 1. Let y(l) = -4*l**2 + 9*l + 8. Let u(v) = -5*w(v) + y(v). Let x(h) = h + 1. Let j(k) = -3*u(k) + 6*x(k). Factor j(q).\nAnswer: -3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 (base 8) in base 6?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r*r**(2\/3))\/(r**(-8)*r*r))**(33\/2) assuming r is positive.\nAnswer: r**(253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 4  (b) -5\/1601  (c) -5  (d) 2\/5  (e) 2  (f) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, 189, 574, 1151, 1920, 2881?\nAnswer: 4034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5 + 2 + 2)*((2*q - 1 + 1)*(-12 + 8 - 15) + (2*q + 5*q + 8*q)*(3 - 3 + 1)) as c*q + p and give c.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v + 6. Let z be j(-6). Let o be ((-1)\/3)\/((-1)\/z). What is the third smallest value in -2\/3, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) be the second derivative of b**4\/12 - b**3\/6 + 2*b**2 + 29*b. Let r be u(5). Which is smaller: 21 or r?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154101 to the power of 1\/2, to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -45.7 times 10515\nAnswer: -480535.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 13, s: 6}. Give prob of sequence srrs.\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -21312 (base 6) to base 7\nAnswer: -11345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*y + 5*y = -240. Suppose 0 = 3*l - 0*l - 2*b + 6, 0 = -3*l - 5*b - 27. Calculate the remainder when 2\/l + 126\/4 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (18 + 3 - 62)*2\/(-242) and -13\/66.\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 4663056*j**4 + 1873*j**5 - 4663056*j**4 - 5636*j + 2373*j**5 wrt j?\nAnswer: 84920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3250797 to the power of 1\/2, to the nearest integer?\nAnswer: 1803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 127518124 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 3*c + 8454 = 0, 3*j - 8452 = -c + 6*c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**(-38)*(y\/((y\/(y**(2\/11)*y))\/y))\/y)**(-6\/7) assuming y is positive.\nAnswer: y**(2298\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w = b - 5, 10873*b - 35 = 5*w + 10870*b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 - 7 - 4)*(-17 + 16*k + 17).\nAnswer: -240*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 270 minutes before 10:11 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -30.78 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h**2 + 4*h. Let d be g(-4). Is 16 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3097 from 0.1601787777.\nAnswer: -3096.8398212223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 173745 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 2*o = 866 + 1808. Calculate the remainder when o is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 97427772.\nAnswer: 2, 3, 13, 23131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 1111*h + 22 + 22.\nAnswer: 1111*h + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1181 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -191011*w**3 + 3*w**2 - 920825?\nAnswer: -573033*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 15\/44  (b) -3  (c) -2\/3  (d) -10\/7  (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 363 - 358. Suppose -4*h = -6 - 6, m*b + 1 = 2*h. Solve b = 3*k - 2*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 + 4*s**2 - 7*s + 5. Determine c(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -52, -303, -718, -1291, -2016?\n\"Answer: t**3 - 88*t**2 + 6*t + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qmz when three letters picked without replacement from {q: 6, m: 4, z: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2994, -3021, -3050, -3081?\nAnswer: -3114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = i**2 - 5*i + 6. What is the units digit of r(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -60 + 28. Let o = q - -82. Suppose 0 = -3*w - 4*c + o, 0 = 3*w + 3*c - 6*c - 15. What is the remainder when 137 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 + i - 3 + 1 - 5*i.\nAnswer: -4*i - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((5*(sqrt(500) - -1*sqrt(500))*5)**2 + (-1*sqrt(500)*-4 + (-1*sqrt(500)*4 + sqrt(500) - sqrt(500)))**2 + 4).\nAnswer: -6250020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*((-12)\/2 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-1)\/5)\/(-4*(-4)\/80). Find the common denominator of (142\/(-88))\/1 - 0 and (a - 51\/24) + (3 - 0).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2568 and 8871 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g + 20. Let j be y(-8). Suppose 67 = 5*k + j. Do k and 12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 56820*o**2 + 1. Let d(y) = -y. Give v(d(k)).\nAnswer: 56820*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 215 a factor of 1961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2123 + -1?\nAnswer: -2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -2  (b) -1  (c) 1770.50039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 50 = -h, 5*u + 27 = h - 23. Let w = h - 30. Does 7 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -21402 divided by -6\nAnswer: 3567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = 391*q - 390*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -3*n**3 + n**2 + 12. Let y be k(4). Let v = y - -166. Solve 8 = v*f - 6*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (1*2)\/(4 - (-195824)\/(-48952)). What is v rounded to the nearest one hundred?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1899 and 528?\nAnswer: 334224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 326, 949, 1996, 3473, 5386, 7741, 10544?\n\"Answer: b**3 + 206*b**2 - 2*b + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 45702*v**3 + 6182*v.\nAnswer: 274212*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 230, 249, 278, 323, 390?\n\"Answer: r**3 - r**2 + 15*r + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -73178180699\/966 - -75753827. Let t = -7742 - -1246449\/161. Let p = t - o. Find the common denominator of p and -77\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 5  (b) 0.2  (c) 592.7  (d) -1\/11  (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -203+232.971\nAnswer: 29.971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 5*q**2 + q. Let l be m(5). What is the common denominator of -33\/2 and (15\/25)\/(26\/l)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2802330979.88717304 + 2802331090. Let i = n + -0.11219696. Let k = 110 - i. Round k to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4 + -1)\/((-6)\/8). What is the units digit of (s - 2)\/((-3)\/4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 105 - 102. Suppose -v - 4*i = 3, -4*v + 6 = -d*i - 1. Suppose 6*f + v = 139. Calculate the greatest common divisor of 46 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1894 + 1892. Which is the nearest to 2\/9?  (a) -0.4  (b) h  (c) 0  (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + (sqrt(35)\/(-1*sqrt(5)))**2 - (sqrt(7) - (4 + sqrt(7) - sqrt(7)))*-5.\nAnswer: -13 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4016.3 + 4015.8. Let i = -0.05 - -2.35. Put i, b, 1\/4 in decreasing order.\nAnswer: i, 1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*b**2 + 37*b**2 + 27 - 36*b**2 + 2*b + 3*b**3 - 7 - b**3 to the form v + g*b**2 + q*b**3 + w*b and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 169319*n**2 - 75949 with respect to n.\nAnswer: 338638*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 22?  (a) -3  (b) -0.2  (c) 4\/2193  (d) 1\/12  (e) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -10 + 401534?\nAnswer: 401524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 153*t + 160*t = 44*t + 1614 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -234*x**4 - 3*x**3 - 102 wrt x.\nAnswer: -936*x**3 - 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(720) + -6*(sqrt(720) - (1 + sqrt(720) - sqrt(720))) - (sqrt(720) + 2 + 3))**2 + -3)*-6 + 4.\nAnswer: -155504 + 864*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 9) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*u - 253*u**5 + 25*u + 13*u**5 + 49*u - 4*u wrt u.\nAnswer: -4800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -3*q**6\/8 - 3*q**5\/20 + 15*q**4\/16 + q**3\/4 - 3*q**2\/4 + 6. Solve h(n) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4831, -9855, -15093, -20653, -26643, -33171, -40345?\n\"Answer: -18*i**3 + i**2 - 4901*i + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1167, -3106, -6339, -10866?\nAnswer: -16687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 201240 by -1935.\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 334124144 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3\/(-5))\/(81\/(-12) + 6). Let 0*t - 6\/5*t**3 + p*t**2 + 0 - 4\/5*t**4 = 0. What is t?\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -34014*z**2 + 13582*z + 2.\nAnswer: -68028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 255444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -124 + 128. Let r(v) = 69*v**2 + 4*v - 86. Let g(t) = -3*t**2 + t. Let o(i) = j*g(i) - r(i). Find the first derivative of o(f) wrt f.\nAnswer: -162*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*j**5 - 5*j**3 + 3*j**5 + 0*j**3 + (5*j**3 - 4*j**3 + 0*j**3)*(j**2 - 3*j**2 - j**2 + (2*j**2 - 2*j**2 - 2*j**2)*(3 - 3 + 1) + 0*j**2 + 2*j**2 - j**2).\nAnswer: -5*j**5 - 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1659\/474*(-2)\/(-56)*-2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 24089 to the nearest one thousand.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 24607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 61 - 58. Suppose 3*k = 3*g + 24, -3*g + 3 = s*k + g. Let d(m) = -m**2 + 6*m + 6. Let i be d(6). Solve k*j = -i - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18*(-2)\/(12 + -8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m**2 + 0*m**2 + 0*m**2)*(57 + 44 + 55 - 132*m - 159 + 6881*m).\nAnswer: -20247*m**3 + 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 9*t**3 + t**2 + 3*t + 3. Let n be m(-1). Let f be (-1)\/n + (-1534)\/(-16). Suppose -5*p + f = p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 12) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**5 - a**4 + 7*a**3 + 13*a**2 + 6*a = 0 for a.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + 2 - 6)*((1 - 2*p - 1)*(-3 + 3 + p**2) - 2*p**2 + 2*p**2 + 3*p**3 - 208*p**3 - 232*p**2 + 232*p**2) to v*p**3 + f + g*p + c*p**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -165029712 divided by -12.\nAnswer: 13752476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 7730547 (base 8) in base 11?\nAnswer: 1199560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -c**2\/2 + 8*c = 0.\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*o**4 + 3*o**4 + 2*o**4)*(-1 + 1 - o) + 0*o + o**5 + 0*o + o**5 - 3*o**5 - o**5 + (-5*o**4 + 2*o**4 + o**4)*(4*o + 7*o + 3*o).\nAnswer: -29*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -274 + -72?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.626224*9\nAnswer: 5.636016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-i - 2*i + 2*i)*(370 + 424 - 129).\nAnswer: -665*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.1 - 0.9. Let y = -70 + 69.79. Let s = -0.41 - y. What is the smallest value in -1\/4, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -27221*d**2 - 132*d + 28931008.\nAnswer: -54442*d - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 42, 151, 296, 483, 718?\n\"Answer: p**3 + 12*p**2 + 66*p - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) be the second derivative of -5\/2*t**3 + 0 - 5\/2*t**2 - 5\/6*t**4 + 33*t. Factor u(g).\nAnswer: -5*(g + 1)*(2*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 10 = 2*x, 5*x = 2*r - 14 - 11. Let w be (-2)\/(-70)*-2*-5. Which is bigger: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*q - 15*q - 3*p = 108, 2*p = 3*q - 152. What is the least common multiple of 44 and q?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 333554560 rounded to the nearest one hundred thousand?\nAnswer: 333600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1*16\/4 - -32. What is the greatest common divisor of o and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 669 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -522 divided by 412.\nAnswer: -261\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40 - 40 - 1761*t.\nAnswer: -1761*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 11*f + 737 = -f + 1328, 5*f = -2*x + 256 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (240\/864)\/((-10)\/(-42)). Let w be (-6)\/15*10\/(-24). Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 287 and 5781.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 219296 and 8915753.\nAnswer: 6853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -2*b - 7. Let f be t(-4). Calculate the remainder when 22*(0 - (-5 + f)) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1161 - 1?\nAnswer: -0.8839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22735.1 - -22735. Put -3, -0.01, -5\/7, k, 1\/5 in ascending order.\nAnswer: -3, -5\/7, k, -0.01, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*u - 1. Let x be (u + 2 + -6)*2. Is x\/10 + 54\/15 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -10003 - 23322112312?\nAnswer: -23322122321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1205237 - 0.095095.\nAnswer: -1205237.095095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 12*z = -17*z + 1970, -2*c = -5*z - 1280. List the prime factors of c.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 8. Let u be -1*(-5 - 1) + -1. Suppose b = u*b - 4*c - 20, 5*b = -c - 5. Solve o - 3 + n = b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 47 or -3\/4?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-168)\/(-154))\/((6\/(-66))\/((-7)\/35)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -33, -32, -31, -30, -29, -28?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + (-1 - (-3)\/(-1)). Is (11\/2)\/(y\/(-16)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2419*a**4 + 33*a**3 + 18*a**2 - 77272747*a wrt a.\nAnswer: 29028*a**2 + 198*a + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 35970.07ns in milliseconds?\nAnswer: 0.03597007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13\/5*d**2 + 9\/5*d**3 + 3\/5 - 16\/5*d**4 - 13\/5*d + 4\/5*d**5 = 0. What is d?\nAnswer: -1, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 230 = 2*f. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v**2 - 2*v - 56. Let p be j(0). Let a = p - -67. Suppose -a*c - 404 = -15*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = u + 1. Let g(o) be the third derivative of -o**4\/24 - o**3 + 2*o**2. Let m be g(-8). What is the lowest common multiple of 16 and n(m)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 33926 divided by -23\nAnswer: -33926\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or -1\/1804775559?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3279 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 8 + (-1)\/(-6 - (-50)\/8). Suppose -4*j = 3*c - 5*c - 30, 0 = 3*j + 4*c - 17. Solve -5*x - j = 2*b, 2*x = w*b + 6*x - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -19227.81 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (484\/110)\/(64\/720*3\/(-2))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6820157609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + 21 + 3 = 4*b, 8 = 2*b - o. Suppose 2*g + 3*g = -5*s, 5*s = -15. Solve -2 - 2*i + b*i + 3*i**2 + g*i**2 - 7*i**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.09  (b) 3  (c) -4  (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*z**3 + 155*z**3 - z**3 - 301*z**3 - 9*z**3.\nAnswer: -142*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (-1*sqrt(84))\/sqrt(12)*-5.\nAnswer: 2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 4:36 PM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 48654251?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 8*b. Let o(y) = 43659*y + 13. Determine o(n(f)).\nAnswer: 349272*f + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*r**2 + 22*r - 22*r.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -123724*j**3 + 64578?\nAnswer: -371172*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*r**2*z**2 - 60*r**2*z - r*z**2 + 10*r*z - 7*z wrt r?\nAnswer: 4*z**2 - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + (10 - 8) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of 0*f + 46 - 1\/2*f**4 + 4*f**3 - 57\/2*f**2. Find the second derivative of u(n) wrt n.\nAnswer: -12*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 25\/9 + (-2)\/(-9). Let q = h + -8. Sort -1\/5, q, 0 in ascending order.\nAnswer: q, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/527 and -9\/391.\nAnswer: 12121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24 - 20. Suppose 2*m = -k*z + 20, 0 = 2*z - m - 2*m - 18. What is the remainder when 20 - 4*3\/z is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**3 - 2*z**2 + 2*z. Let r be d(-3). Let a be (r + (7 - -2))\/2. List the prime factors of (a\/(-2) - -27)*1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -10 + 10.1. Let v = 3.6 + -3. Let g = v - x. Which is the smallest value?  (a) g  (b) -0.1  (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*a + 6*a - 2*a)*(25*a + 22*a - 36*a) in the form t*a**2 + n + l*a and give t.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*s = 847 - 671. Let l(d) be the first derivative of -d**3\/3 - 9*d**2\/2 - 6. Calculate l(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-2))\/(150\/(-120))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (90*u**4 - 40*u**4 - 27*u**4)*(4 - 1 - 2 + (34 + 3 + 18)*(7 - 3 - 2)).\nAnswer: 2553*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (11 + -1 + 0)\/(30\/4*78\/8658)?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.13, -3, -2\/3 in descending order.\nAnswer: -0.13, -2\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1205 by -2.\nAnswer: 1205\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = u**3 - 6*u**2 - 75*u - 10. Let x(a) = 3*a**3 - 17*a**2 - 224*a - 29. Give 17*h(w) - 6*x(w).\nAnswer: -w**3 + 69*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1140.586 - -1139.5859997. Let q = -1 - c. Round q to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3.19 - -6.15. Let o = -3.06 + b. What is the nearest to o in -32, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1577837780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(2\/3)\/d)\/d)**21)**(5\/6) assuming d is positive.\nAnswer: d**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:40 AM and 12:32 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -19*w**3 - 13*w**2 - 31*w. Let a(g) = -9*g**3 - 6*g**2 - 15*g. Let t(p) = -p**2 - 77*p - 774. Let o be t(-65). Determine o*v(j) - 13*a(j).\nAnswer: 3*j**3 + 9*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 207*q**2 + 3920. Let r(u) = 141*u**2 + 2614. Let o(x) = -5*k(x) + 8*r(x). What is the derivative of o(g) wrt g?\nAnswer: 186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2699594?\nAnswer: 2, 37, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 374 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 23\/(2\/(-6)*(-4 + 7)). Let m = -23 - v. Suppose 5*a - 15 = 0, m = -s + 3*a - 0*a + 43. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -78, -69, -48, -9, 54, 147?\n\"Answer: k**3 + 2*k - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 858 = u + u. Suppose -5*s - u = -3*k, -528 = -3*k + 4*s - 96. Suppose 0 = -b - 3*b + k. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l - 12. Let q be h(16). Suppose 4*g - 4 = 0, q*j = 3*j - 4*g + 112. Suppose -j = -2*w - 44. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 409649 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1570346 to the power of 1\/2, to the nearest integer?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -o + 39 - 14, -5*z = 0. Suppose 126 + o = 4*j + 5*h, 3*j + 5*h = 117. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 617, 1222, 1811, 2384?\n\"Answer: -8*h**2 + 629*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(21)\/sqrt(3)*-4 - sqrt(21)\/sqrt(3)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*l, -3*n + 4*n - 5*l = 100. Suppose -2*a + 6*a = n. What is the highest common factor of 180 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tdt when three letters picked without replacement from {t: 9, d: 5, u: 2}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + (-1 - -47) + (-1 - -1 - -11).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -17*a - n = 26, 13*n - 36 = -51*a + 53*a + 15*n - 6*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 60303 + 115?\nAnswer: 60418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + -78.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(125) + sqrt(5))*-4 + (sqrt(40)\/sqrt(288))**2.\nAnswer: -24*sqrt(5) + 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/7)*o)**(6\/7)*(o*o**(3\/4))\/o*o\/o**28 assuming o is positive.\nAnswer: o**(-4929\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*w**2 - 2*w**2 + 0*w**2)*(2*w + 8 - 8) + 3*w**3 + 2*w**3 - 2*w**3 + w**3 + 0*w**3 + 0*w**3.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -77\/12 and -49\/87306?\nAnswer: 174612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) -0.04  (b) 2  (c) 6  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) be the first derivative of -n**3\/3 + n**2 + 48*n + 2478. Let h(r) = 0. Calculate r.\nAnswer: -6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnmnmnmnmmnn. What is prob of sequence mmn?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.17 - 0.03. Let f = -16 - -23. Let x = -193387 + 193386.7. What is the fourth smallest value in x, f, 5, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = 2*x - 20, 0 = -4*x - 5*s + 4*s + 54. Let g(t) = 16*t**2 + 2*t**3 + 7*t - 5 - 3*t - 3*t**3. Is g(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*i - 6*i + i - 4*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 41*f + 282*f + 0 - 28*f + 1.\nAnswer: 295*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p - 1. Let i(w) be the third derivative of -1\/6*w**4 + 0 + 2\/3*w**3 + 50*w**2 + 0*w. Give -3*g(y) - i(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**2 + 1625*u + 608854 = 0.\nAnswer: -1039, -586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that -2*c**4 + 56982*c**3 + 683982*c**2 + 2565162*c + 3078324 = 0.\nAnswer: -6, -3, 28503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 7573592 greater than 7573592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3 - 6*(1 + -4). Let l = 247 + -142. What is the highest common divisor of l and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ksssd.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-23*l**2 + 15*l**2 + 77*l**2)*(3 - 1 - 3)*(-26*l**2 + 14*l**2 - 33*l**2) in the form a*l**3 + g*l**2 + v + k*l + h*l**4 and give h.\nAnswer: 3105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2180*f - 41 = -3*h - 2175*f, 0 = 3*h + 5*f + 59 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9085?\nAnswer: 5, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*j**5 - 8*j**6 - 1098*j - 83*j**2 - j**2 + 1100*j wrt j?\nAnswer: -960*j**3 + 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the second derivative of -7*g + 0 + 31\/30*g**6 + 0*g**5 + 0*g**4 + 0*g**2 + 25\/6*g**3. What is the second derivative of y(u) wrt u?\nAnswer: 372*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 2, b: 9, k: 5}. What is prob of picking 2 q and 1 b?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*m + 32*m + 23 = -4*k, 0 = 2*k + 10 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -891, -1016, -1141, -1266, -1391?\n\"Answer: -125*z - 766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = u + 211*r - 213*r, -3*u = 4*r - 13 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 46*g**3 + 2049*g**2\/2 - 7389*g + 23409\/2.\nAnswer: (g - 3)**2*(92*g + 2601)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 3*t**2 - 6*t + 2. Let w be k(2). Put 4, w, -141 in ascending order.\nAnswer: -141, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 453.33 - 459. Let y = -0.33 + k. What is the nearest to y in 1, -1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) be the first derivative of k**4\/4 - 7*k**3\/3 + k**2 + 5*k + 154. Determine j(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**9*q\/q**(3\/7))\/((q**(1\/6)*q)\/(q**(-2)\/q)) assuming q is positive.\nAnswer: q**(269\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1635 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/3*(-5 + 11)\/(-7 + 9). What is the highest common factor of 212 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 6*m + 4. Let z be y(2). Let t = -2 + z. Suppose -10*g - 635 = -1895. Calculate the highest common factor of g and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -443261 <= -443261?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -993 + 1065. What is the smallest common multiple of 24 and p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -54 or -107\/2?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 293, -2, 0, 46, 2\/9, 1\/2, -1 in decreasing order.\nAnswer: 293, 46, 1\/2, 2\/9, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13 - 4*a**3 + a**2 - 72*a**4 + 27*a**4 + 7*a + 22*a**4 + 24*a**4 to the form x*a**2 + k*a**3 + i + o*a + s*a**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 146056664 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1493964 and 24.\nAnswer: 2987928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**2 - 5*t + 4. Let q be n(4). Suppose q = 5*a - 10*a + 100. What is the remainder when 39 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2.5 - -0.5. Let f = 1.6 + -2. What is the closest to 2\/3 in k, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -315665*l**2 + l + 25576.\nAnswer: -631330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k. Suppose 0*g + 2*g - 12 = 0. Let v(f) = -4*f**2 - 6*f + 6. Let p(j) = -5*j**2 - 7*j + 7. Let l(d) = g*p(d) - 7*v(d). Calculate a(l(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 108 and 288.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -9  (b) 3\/2  (c) 0.2  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/3187905 and -82\/4695.\nAnswer: 3187905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -7*y**2. Let r(i) = -48*i**2. Let k(t) = -4*r(t) + 27*v(t). Let a(l) = -5*l. What is k(a(m))?\nAnswer: 75*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 194*b - 6 = 182*b - 30. Which is greater: -92\/45 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -208671439 * 5.\nAnswer: -1043357195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 - -10327803?\nAnswer: 10327800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -263, -716, -1463, -2498, -3815, -5408, -7271, -9398?\nAnswer: -11783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5520371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is r in 5*r**3 - 19*r**2 + 11*r + 3 = 0?\nAnswer: -1\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:13 AM and 2:26 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.68 + -0.95. Let r = 1.78125 - 2.78125. Put r, h, -2\/5 in ascending order.\nAnswer: r, -2\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 162 - 162.224. Let u = i - -0.624. Which is the second biggest value?  (a) -24\/5  (b) 0  (c) u  (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-48263)\/1169*35\/595?\nAnswer: -17\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -53812, -53809, -53804, -53797?\n\"Answer: x**2 - 53813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3335 divided by -667\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -21*g**3 + g**2 - 1. Let s(j) = 4*j + 51. Let c be s(-13). Let v be a(c). Solve 14*d - 7*d = -v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -9 - 1. Sort 2, g, 0.\nAnswer: g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p**2 - 4*p**2 + 0*p**2)*((7 + 0 - 1)*(-5*p + 2*p + p) - 17 + 17 - 5*p).\nAnswer: 102*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d + 10. Let g be y(-10). Let q(m) = m + 10. Let l be q(g). Solve l*w - w + 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2, -2, -4, 1761 in decreasing order.\nAnswer: 1761, 2, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the first derivative of -a**4\/12 + a**3\/6 + a**2\/2 + 7*a + 11. Let q(h) be the first derivative of d(h). Determine q(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -1919*r - 1. Let w(o) = 105*o + 1. What is c(w(m))?\nAnswer: -201495*m - 1920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 9\/270*-5*3\/6*-6\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3657 and -15646928542?\nAnswer: 15646924885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 369346448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1115, -2226, -3337, -4448?\nAnswer: -5559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/u**(-1))*u**(4\/3))**5 assuming u is positive.\nAnswer: u**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5013 + 10551 + 29624 = -813*z + 1286 for z.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = -1001 + 2. Let m = h - -339. Solve -i - 4 = -u - m, 4*i + 13 = -3*u for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7772*x**2 - 5999*x**2 + 2 + 12031*x**2)*(-2 + 4 - 4).\nAnswer: 3480*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131991.\nAnswer: 3, 43997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(2\/5)\/o**(1\/5))\/(o\/o**(3\/5)*o*((o**3*o)\/o)\/o) assuming o is positive.\nAnswer: o**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:05 AM and 6:25 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -5, 1, 2\/639299, 2\/3, 5?\nAnswer: 2\/639299","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/18469 less than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5096 + -5095. Which is the biggest value?  (a) -93  (b) x  (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y + 296. Let h(c) = -295. Let n(g) = 4*h(g) + 5*w(g). Let s be n(-30). Is s equal to -7\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2318 divided by -2\nAnswer: -1159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -171, 2\/5, 0, 20.3, 0.2 in descending order.\nAnswer: 20.3, 2\/5, 0.2, 0, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5\/6  (b) 0.1  (c) -2\/5  (d) -5  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 505 and 290325.\nAnswer: 29322825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -23*c - 161. Let d be i(-7). Solve d = -2*b + 6*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 3) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1505874 is divided by 501939?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*x - 9*x - 22*x in the form i + k*x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 101840311 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 at least as big as 193\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7204, -57736, -194904, -462028, -902428, -1559424, -2476336?\nAnswer: -3696484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/(-1)*(-3230)\/(-51680))\/(-2*(-1)\/(-236)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqqm when four letters picked without replacement from {m: 2, q: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5587.244l to millilitres.\nAnswer: 5587244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18 and 414135?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2231?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11691 - 11496. Let j be 9\/(-12) - (-69)\/12. What is the highest common factor of j and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -223 - -222. Let j(f) = 2*f**2 + 1. Let d(h) = -7*h**2 + 10*h + 3. Let n(x) = r*d(x) - 3*j(x). What is n(10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 113.13 - 1.13. Let s = d - 112.49. What is s rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*z - 3*z + 6*z)*(6 - 6 + z) to r*z + k*z**2 + n and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -67, -74, -190 in decreasing order.\nAnswer: -67, -74, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.4 - -1.4. Let y = 0.3 + -0.6. Put a, y, -1\/3 in increasing order.\nAnswer: a, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n + 3. Let v be z(0). Let k(s) = -20 + 10 - s**3 - v*s**3 + 9. What is k(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1071 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.1 + -1.9. Suppose -5*y + 2*b - 21 = 0, -117*b - 28 = 4*y - 120*b. What is the biggest value in -0.11, y, m?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21540.20697 to the nearest ten.\nAnswer: 21540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2820.6172637 - 2.5423863. Let b = -2823 - z. Let s = b - 0.16. Round s to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_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: What is the common denominator of 43\/16 and ((-6)\/4)\/((-216)\/472)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 122212 (base 5) to base 7\nAnswer: 16436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 62368746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 4*m**3 - 4*m**2 - m + 4. Let w(i) = -3*i**3 + 5*i**2 - 5. Let p(h) = 5*d(h) + 4*w(h). What is the second derivative of p(k) wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -80*t**6 + 3*t**5 + 4484*t**2?\nAnswer: -9600*t**3 + 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -3\/7  (b) -0.5  (c) 7  (d) 36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 7*d**3 + 2*d**2 - 48*d - 49. Determine r(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 u when three letters picked without replacement from {u: 3, j: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3283*g - 3283*g + 7*g**2 - 28*g**2 - 2*g**2 + 4*g**2 + 8*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 (base 5) in base 6?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -4, 5, 1\/5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x = -0*x + 8, x = w - 2. Suppose -600 = -w*b + 3*b. Round b to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -202432*d**3 - 45377*d**3 + 3*d**2 - 3*d**2.\nAnswer: -247809*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 21.02569 + -0.02569. Which is the nearest to 0?  (a) -3  (b) 2\/9  (c) 0  (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*k - 72 = -13*k. What is the nearest to -1 in 0, 175, -5, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 1 - 9*c**3 + 2*c**3 + 6*c**3 - 4*c**2 - 3. Let j be a(-4). Let n be (j + (-8)\/10)*-10. Calculate the highest common divisor of 42 and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = 5*z + 3. Let s be n(5). Let x be 39 + -6*2\/4. Suppose -2*b + x = -s. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 90.8 - 90.377. Round g to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3329425*m**3 - 39601 with respect to m.\nAnswer: 9988275*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -10, -121, 3, -3.\nAnswer: -121, -10, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zwwz when four letters picked without replacement from zwizwzziiwzwwwz?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1010 - -18185\/18. Let z = 1\/18 - x. Let r = -7 + 20\/3. What is the biggest value in 5, r, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, -1303, 0, 135, 1 in ascending order.\nAnswer: -1303, -5, -2, 0, 1, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -10878, -10871, -10862, -10851, -10838, -10823, -10806?\nAnswer: -10787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3)*(-6 + 2 + 2)*(j + 2 - 2)*(0 - 6 - 4).\nAnswer: -40*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = 426*a**2 - 15752*a - 254. Determine z(37).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = 9*n**3 + n**2 - 11*n + 8. Let o(c) = -c**3 + 2*c**2 - 1. Let p(i) = m(i) + 4*o(i). What is the units digit of p(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2697008686?\nAnswer: 2, 27751, 48593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (0\/(-68))\/(1\/1). Solve x = 4*h + 12, 4*t + 5*h - 6 = -25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/1728157 and -25\/387624.\nAnswer: 41475768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 + 6*k**2 - 7. Let z be (5 + 2\/(-2))\/((-4)\/(-6)). Determine j(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.92043 - -0.07957. Let j = 7 + -10. Which is the nearest to -0.2?  (a) -1.1  (b) j  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 4*k + 42 = 0, -2*i + 15 + 12 = -k. Let c(q) = -2*q**2 - 2*q + 15. What is the lowest common multiple of i and c(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -12*d**3 - 9*d**2 + 25*d + 8. Let y(f) = -3*f**3 - 2*f**2 + 6*f + 2. Determine 2*t(v) - 9*y(v).\nAnswer: 3*v**3 - 4*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 - 1. Let c = -233 - -235. Let h(t) = -7. Let y(w) = 8. Let n(k) = 6*h(k) + 5*y(k). What is c*a(v) - 3*n(v)?\nAnswer: -2*v**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 798155 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 27*s**5\/5 - 33*s**4\/5 - 183*s**3\/5 + 393*s**2\/5 - 48*s + 36\/5 = 0?\nAnswer: -3, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*i - 25*i - 25*i + t - 10 = 0, 2 = 2*i + 3*t for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 29 + -88 + 200 + -1 + -47?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence td when two letters picked without replacement from dtttdtt?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 15 = -f. Let l be 2*2\/3*180\/16. What is the greatest common divisor of f and l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f - 18154*f**2 + 13051*f**2 - f)*(6 - 2 - 3).\nAnswer: -5103*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -339, -6, 5, 1 in ascending order.\nAnswer: -339, -6, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in p**2 + 145*p + p**2 - 145*p.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ms when two letters picked without replacement from {s: 4, d: 3, i: 3, m: 7, l: 1}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 264383 and 322021?\nAnswer: 1253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, 4, -45 in increasing order.\nAnswer: -45, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, 5, -1, 52 in decreasing order.\nAnswer: 52, 5, 4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -6 + (-168)\/(-30) + 22\/5. What is the common denominator of -127\/6 and 31\/(-52) - 2\/b?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -975*v**2 - 29*v - 1. Let d(y) = -5*y**2 + 2*y. Give -b(q) - 14*d(q).\nAnswer: 1045*q**2 + q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -439, -1614, -3519, -6142, -9471, -13494, -18199, -23574?\n\"Answer: 2*w**3 - 377*w**2 - 58*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 2\/5  (c) 0  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-64)\/48*(0 + (-9)\/(-15)). Which is the closest to 0.09?  (a) -4  (b) y  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 2*v + 4. Let w(g) be the third derivative of -g**4\/8 - 2*g**3\/3 - 5*g**2. Let o(k) = 1. Let m(n) = 3*o(n) - w(n). Give 5*l(t) - 3*m(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*a**3 - 258*a**3 - 580*a**3 - 158*a**3.\nAnswer: -1051*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2*p = -4, s + 9 = -2*p - 1. Which is the closest to 1\/4?  (a) 0  (b) 1  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 2)*(1 - 4 + 5)*(-3 + 2 + 2)*(9 + 2*o - 9)*(-125 + 230 - 159).\nAnswer: 216*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 213450 (base 6) to base 9\nAnswer: 26213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen quarters of a kilometer in meters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 233734534 to the power of 1\/3, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*y - 14*y + 670 = 0. Let g(d) = 6 + 138*d - y*d - 5. Give g(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from vvvdvvvvyvvtv.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-4\/3)\/x*x**(-1\/3)*x*(x\/((x\/x**(-4))\/x))\/(x*x**(-2\/15)\/x) assuming x is positive.\nAnswer: x**(-68\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 67958.\nAnswer: 2, 11, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = -2*h. Solve h*i + 2*i - 5 = x, -4*i + 11 = -x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 16 - c?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 13381569 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-1\/5)*(y*y\/((y*y*y**(-4))\/y)*y)\/y)**(-35) assuming y is positive.\nAnswer: y**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - ((6 - 4 - (-1 - 7)) + -1 - -40)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 39897 and 32736?\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -6225500 divided by 1556375\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 80567348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + 4 + (sqrt(17) + -1 + 3 - (sqrt(425) + 2 + sqrt(425)))**2.\nAnswer: 1386","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -30 - (13 - (-5 + 13)) - -147.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the second derivative of d**4\/3 - d. Let f(m) = -m**2. What is q(f(z))?\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 277 = -287. Solve h + 5 = 5*f + 11, 0 = -s*h + 5*f + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 5 and 515.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -20*s**4 - 17*s**2 + 1. Let f be 1*(-3 + 21 - 1). Let c(g) = 7*g**4 + 6*g**2. Let j(q) = f*c(q) + 6*v(q). What is the derivative of j(t) wrt t?\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 939634811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is fe + a7?\nAnswer: 1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 2*h = 10, 5*i - i + 5*h - 22 = 0. Suppose 0 = -i*u + 24 - 6. Calculate the remainder when 10 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1728773888?\nAnswer: 2, 71, 227, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*b = 17823 - 15519. Solve 133*j - b = 149*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*r + 224*r**2 - 4 + 0*r + 2.\nAnswer: 224*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:11 AM and 6:11 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 3*i**2 - 5*i - 6. Let q be t(-1). Solve -q*o + 32 = 14*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 26941*b**2 + 2074452*b - 388. What is n(-77)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8a25 (base 11) to base 7.\nAnswer: -46436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 45576 and 6383172.\nAnswer: 2532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 794101?\nAnswer: 7, 11, 10313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31760 divided by -1985.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 66 - 73 - ((-1 - 4) + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 331187200?\nAnswer: 2, 5, 17, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 648 and 2352?\nAnswer: 63504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 71\/100 and 119\/300.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 8b80 - -2a?\nAnswer: 8baa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 23 a factor of 3944582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -108.34 + -0.66. Let p = o + 109.0000045. What is p rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t + t + 0*t + (3 - 2 - 4)*(-2*t + 3*t - 2*t))*(-2*t**2 - 28*t + 11*t + 10*t).\nAnswer: -8*t**3 - 28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 31927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + m = -46, n + n + m = 42. Suppose r + r - n = 0. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 830079470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let 245*r**4 - 117215*r**3 - 67040*r**2 - 9580*r = 0. What is r?\nAnswer: -2\/7, 0, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -224658 divided by -1028\nAnswer: 112329\/514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1\/3)*q)**3*q**(-1)\/(q\/q**(-2)))\/(q*q**(-2)*q**(-1\/10))**9 assuming q is positive.\nAnswer: q**(79\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -112100022 (base 3) to base 16.\nAnswer: -28d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 539 and 784.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-20)\/12)\/(2\/(-6)). Suppose -6 = -2*n + 3*j, 0 = f*n + 3*j - 0*j - 36. Solve -n*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 27*p - 33 = -95, 2*z + 2 = -p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -11974506897633 and 0.4.\nAnswer: -11974506897632.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21449168 divided by 3.\nAnswer: -21449168\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 2 + 0 = 0, -5*g + 19 = 2*d. Let k(c) be the first derivative of c**3\/3 - 5*c**2\/2 + 4*c - 4. Calculate the least common multiple of d and k(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**2 - 509124*p - 21600603948.\nAnswer: -3*(p + 84854)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 = -49*t + 117 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*u**2 - 92*u**2 + 37*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -10\/13 - -59\/26. Is 3 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, 48, 53, 58, 63, 68?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:53 AM and 2:57 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4811 and 116556.98?\nAnswer: 111745.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2924 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(2\/3))**(-23)\/(a**(2\/5))**36)\/((a**(-1\/2))**(-44))**19 assuming a is positive.\nAnswer: a**(-6716\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2053 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 3 + 1)*(2190*s - 863*s**2 - 2190*s).\nAnswer: 863*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 716, -353, -1424, -2497, -3572, -4649?\nAnswer: -5728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36721*z + 117 = 36712*z for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 10083.15567ms?\nAnswer: 0.000016671884375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qumuquk. What is prob of sequence quuq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 23409 and 765?\nAnswer: 117045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 141719939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -17*n + 31 + 11*n - 23 + 4*n**2 + 5*n + 37. What is the units digit of b(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -3 - 3. Suppose -s*u = -u. Suppose -5*i + 0*i + 25 = u. What is the least common multiple of 7 and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.11 times 29.3\nAnswer: -3.223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 6024085139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d and 2 e when three letters picked without replacement from {e: 2, d: 4, z: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in eight thirds of a week?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 19*h**2 + 19*h**2 + 2*h + 30*h**2 + 108*h**6 + 4*h**2 - 45*h**2 wrt h.\nAnswer: 12960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2101*n - 9882*n + 746976 for n.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -441*u - 51*u + 252*u + 676*u.\nAnswer: 436*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18063, 36247, 54439, 72645, 90871?\nAnswer: 109123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o**5 + 1336*o**4 + 6904*o**3 - 41296*o**2 - 250260*o - 203400 = 0. What is o?\nAnswer: -5, -1, 6, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 467*i**2*z**2 - 157*i**2*z - i*z**2 + 6*i*z + 42*i - 2*z**2 + 168 wrt i.\nAnswer: 934*z**2 - 314*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 10, q: 4, o: 6}. Give prob of sequence qvv.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 9274000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**2 + 1. Let o(x) = 12*x**2 + 16*x + 24. Let m(s) = o(s) - 8*y(s). Factor m(a).\nAnswer: 4*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 211452 divided by -134\nAnswer: -1578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) be the third derivative of -s**5\/60 + s**3\/3 + 8*s**2 + 619. Let z = 8 - 6. Determine q(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 50\/287 + -16624\/92127. Which is bigger: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:54 AM and 1:08 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.5 and -30863.9.\nAnswer: 46295.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 101259 = -2*m, 2*m + 3*q = 47872 + 53427. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1314*s + 1324*s + 1339*s - 3975*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 40*d**2 - 24*d + 6. Let j(l) = 14*l**2 - 8*l + 2. What is -17*j(x) + 6*m(x)?\nAnswer: 2*x**2 - 8*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qhhm when four letters picked without replacement from {m: 1, n: 2, h: 2, q: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the third derivative of l**6\/40 - l**5\/12 - 5*l**4\/24 - 2*l**3\/3 - 3*l**2. Let g(j) = -j**3 + j**2 + j + 1. Determine 5*g(h) + v(h).\nAnswer: -2*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.8853 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/101849 or 0?\nAnswer: 2\/101849","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j - 3. Let n be s(-7). Suppose 0 = 3*o - 4*l - 29, -n*l - 4 - 16 = 0. Let q = -3 + 2. Let y(p) = p + 3. Let m(u) = 1. What is o*m(a) + q*y(a)?\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*l**3 - 6*l**3 + l**3 + l**4 + 2*l**3 - 2*l**2 to the form i*l**4 + k*l + d*l**2 + h + z*l**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 51 - 49. Suppose g*v = 4*f - 70, 5*f - 4*v - v = 75. Suppose -f = 4*c - 0. Put 3, 1, c in increasing order.\nAnswer: c, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (226\/19 + -12)\/((-8)\/76)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r - 8*r + 1050. Suppose 0 = 6*l - l - r. Let b = l - 21. Is 10 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 225 a factor of 819536719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3463 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 124 + -125. What is the fourth smallest value in -2\/11, s, 2, -1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1731 - 1445. Does 11 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3303431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*f**4\/7 - 106*f**3\/7 + 108*f**2\/7.\nAnswer: -2*f**2*(f - 1)*(f + 54)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.149 and -4.\nAnswer: 0.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 - -30 - (7 + -1 + -5 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of -2\/3*i**3 - 2*i**2 + 1\/120*i**6 - 1\/3*i**4 + 1\/10*i**5 + 0 + 0*i. What is the units digit of c(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, -48, -28, 0, 36?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + s - 8 = 0, -4*w + 0*s + 16 = -4*s. Suppose -3*j + w*j = 5. Is ((-204)\/(-15))\/(1\/j) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 70*b - 120. Let u be s(10). Calculate the highest common divisor of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1119 divide 79146870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2747?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -v**3 - 2*v**2 + 22*v - 30. Calculate g(-8).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -52658*g**2 + 210624*g**2 - 52664*g**2 - 52654*g**2 - 52663*g**2.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 11\/(-58)*812\/2233\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24 + -8. Let t = -32.0000002 - x. Round t to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*w**3 - w**3 + 2*w + 3*w**3)*(-1403*w + 2433*w - 1353*w).\nAnswer: 323*w**4 - 646*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00103968567 to 4 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 51101 and 5617?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -25, -25, 11, 101, 263?\n\"Answer: 3*f**3 - 21*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3239)\/(-205) - (-4)\/(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1845 = 3*d - 11790. Is d a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-5*(sqrt(77) + (sqrt(77) - (sqrt(77) + 2*sqrt(77)))) - sqrt(77))*1)\/(-5*(sqrt(847) + 2*sqrt(847) + sqrt(847)))*-5)**2 + 2.\nAnswer: 23\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4602, 4635, 4720, 4881, 5142, 5527, 6060?\nAnswer: 6765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.8 + -34?\nAnswer: -31.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -374230  (b) 3\/4  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Do 335288523 and 335288523 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-735)\/18*-2*3. Suppose -w + c = 4*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 110*r - 9. Let v(g) = 55*g - 4. Let p(h) = 2*l(h) - 5*v(h). Does 22 divide p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4752 - 4763 + 9511 + 1067*y + (-5*y + y + y)*(-1 + 5 - 2).\nAnswer: 1061*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52838 is divided by 2397?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*n = -4*n - 9360. Suppose 3*v - n = -3*q + 8*v, 0 = -3*q + v + 1024. What are the prime factors of q?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20284*t**3 + 20251*t**3 + 20254*t**3 - 60764*t**3.\nAnswer: 25*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 16760.9 to the nearest 10.\nAnswer: 16760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 116871, 117128, 117385, 117642?\nAnswer: 117899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.8 in 0, -2\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 390 and 6294.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - (3 - 4)) + (-6 - -8). Suppose -5*w + 218 = a - w, 424 = 2*a + r*w. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 290309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 937689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2\/((50\/(-15))\/(-5)). Sort 5, p, 2, 1.\nAnswer: 1, 2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20 - -26. Suppose 3 - l = -t. Let y be 0 + -1*(4 - t) + 2. Solve -3*k - 4*g = 3, -2*k - 2*g = y + 3 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 1. Let b be -3*4\/(-18)*n. Is 2 + b + (-130)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 1224 = 2*k, -k = 3*y + 4*k - 904. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 + 4*t. Let g be j(-4). Suppose q - 2*q + 1 = g. What is the greatest common divisor of 3 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11112121 (base 3) to base 15.\nAnswer: eaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -10\/367, 55, -191 in descending order.\nAnswer: 55, -10\/367, -1\/3, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -31013 (base 4) to base 11\nAnswer: -6a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1379 and 10?\nAnswer: 13790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1543 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -317048 (base 9) to base 12\nAnswer: -9135b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s + 15 - 5, 3*y + s = 7. Solve -2*c = -y*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 1167*q + 1170*q - 5 = 22, 5*z + 4*q - 18 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r**3 + 472*r**2 + 952*r = 0.\nAnswer: -2, 0, 238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 + 2 + 3)*(5 - 2 - 5) + 6 + 8 - 7 + 1 + 4 - 3)*(g + 2*g + 5*g).\nAnswer: 56*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out -6 * -402.\nAnswer: 2412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.15 in 4, -0.3, 26, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -35*v + 216. What is the tens digit of q(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 229169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**1)**(3\/23)\/(p*p**0\/p*p*p*p\/(p**(4\/5)\/p*p)))\/(p*p**(2\/3)\/p*p**(-1)*(p*(p*p\/((p*p**(1\/7))\/p))\/p)\/(p*p*p**(2\/3)\/p)) assuming p is positive.\nAnswer: p**(-1551\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the first derivative of 3*d**2 + 3*d + 346. Let t(u) = 25*u + 13. Give -6*t(c) + 26*w(c).\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 870\/(-29)*840\/(-13650).\nAnswer: 24\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from yqyqwyywyqwyqyyyywy. Give prob of picking 1 q and 3 w.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 1396*k + 1391*k + 28 = 0, 4*k = -3*r + 4. What is the second smallest value in -1, r, -0.57?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.2, 64, -13, 2\/5, 0.5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gwgwwwwwkwwwk. What is prob of picking 1 g, 2 w, and 1 k?\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(468) + sqrt(468)*-2*5)\/(sqrt(81) - (sqrt(81) + sqrt(81)*2 + sqrt(81))).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4984272 and -5.\nAnswer: -4984277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p**4 - 6*p**4 + 2*p**4 + (-1 + 1 + 2*p**3)*(-49*p + 2*p - 19*p) + 8*p - 8*p + 21*p**4 to x*p**2 + i + q*p + y*p**4 + k*p**3 and give y.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.7 + -0.3. Let y = -52365110.9999997 - -52365115. Let l = a + y. What is l rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12b24 (base 14) to base 10.\nAnswer: -46092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 32 = 4*k, v + 16 = -0*v - 3*k. Let l be 6\/(-27) + 48\/(-27). What is the nearest to 0 in l, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 30914775 and 720?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6c (base 13) to base 2.\nAnswer: -1011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -12.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -61*z**2 - 7*z - 94. Let a(p) = 13*p**2 + p - 3*p + 4*p + 8*p**2 + 31. Let u(l) = 14*a(l) + 4*m(l). Find the first derivative of u(j) wrt j.\nAnswer: 100*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 11*a + 58. Let u be m(-13). Let g be u\/51*4\/(-30). Factor 0 + 2\/9*l**2 + g*l.\nAnswer: 2*l*(l + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -0*c - c. Solve t + c = -2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**3\/2 + 1915*o**2 + 30713*o\/2 - 17271.\nAnswer: -(o - 3838)*(o - 1)*(o + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/8))**(1\/4)\/(((o*o*o**14)\/o)\/o**(2\/27)) assuming o is positive.\nAnswer: o**(-12869\/864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -14*b**2*v**3*w - 18*b**2*v**3 - 5*b*v**3*w - 2*b*v**2 + 32*v**3*w wrt b.\nAnswer: -28*v**3*w - 36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.492 + 0.44. Which is smaller: g or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5060951.\nAnswer: 7, 17, 71, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1452141 + -2662?\nAnswer: 1446146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) -37  (c) -64  (d) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -3*n + y, 4*y - 2 = -n - 4. What is the units digit of (-4)\/n - (-91)\/21?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*l**3 + 129 + 73 - 225.\nAnswer: 2*l**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 214737878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-9) - 160\/(-72). Suppose -f*c = -c - 5. Let z be 2\/(-10)*-3 + 12\/5. Solve 10 = z*v - c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2275*c**6 - 2*c**5 - 5853*c**2.\nAnswer: 273000*c**3 - 120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7871766?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 12258449.49 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 34083 = 4*r + 34123, -13*r - 114 = 3*i for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(1331)*4 - sqrt(1331)).\nAnswer: -66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -68 - -136. Let u = o - 41. Calculate the least common multiple of u and 15.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -18 - -25 - (-1)\/(-2)*4. Solve -a + 3*i = -1, 23 = b*a + 4*i - i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u**3 + 13*u**2 - 14*u + 6. Determine s(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 19*p**3 - 12*p + 6. Let d(b) = -38*b**3 + b**2 + 26*b - 13. Calculate 6*d(r) + 13*j(r).\nAnswer: 19*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 720?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -0*v + 3*v + 2*y, 2*v - 3*y - 6 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-14))**9*(z**11)**5 assuming z is positive.\nAnswer: z**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 178\/9 - (-16)\/72?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -15*z**3 + 39*z**3 - 11*z**3 + 80 - 15*z**3 - 8 + 3*z**2 wrt z.\nAnswer: -6*z**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2*(-6)\/(-8))\/((-3)\/(-4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -299*q**3 - 2 - 4519*q**2 - 208*q**3 + 4591*q**2 wrt q?\nAnswer: -3042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*k - 418 + 209 + 209 - 4*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 122049758 to the power of 1\/3, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s - 26. Let p(k) = k + 17. Let a(t) = -5*l(t) - 8*p(t). Calculate the remainder when 29 is divided by a(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -11 - 4. Let d(o) = -7*o**3 - 5*o - 6. Let c(j) = -1 + 6 - 8*j + 6*j**3 + 12*j. Determine r*c(k) - 4*d(k).\nAnswer: -2*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*h = -h + 2*u + 8, 5*u = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*((sqrt(68) + sqrt(68) + -2 + sqrt(68))**2*1 + (1*(sqrt(17) + sqrt(85)\/sqrt(5)))**2*2).\nAnswer: -3008 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 3:48 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -76*r + 0*r**3 - r**3 + 96*r - r**4 to the form b*r**2 + v*r**3 + m*r**4 + u*r + y and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*c**3 - 3*c**2 + 81*c**2 + 4149 - 4149 to the form x*c**2 + m + u*c + q*c**3 and give x.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6668 is divided by 3262?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -22120122 (base 3) to base 15\nAnswer: -1cbe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 218247635 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w. Let c(z) = -z**2 + 6*z + 4. Let y be c(6). Let d(g) be the third derivative of -g**6\/120 + g**5\/15 - g**3\/3 - g**2. Let f be d(y). What is t(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of -69*4\/(-4) + 4?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62, 125, 174, 203, 206, 177?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/28, 4, -4\/7, -2, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*r**2 + 55*r - 45.\nAnswer: -5*(r - 1)*(2*r - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -2*s - 10. Let q be l(7). Let j = -21 - q. Suppose j*g - 810 = -7*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -60\/511 and 71\/2847.\nAnswer: 19929","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4589 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iqq when three letters picked without replacement from {i: 4, q: 7, f: 2}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 64 = -4*k, 9*k = 4*y + 4*k - 69. Let u = 270 + -193. What is the greatest common factor of u and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 47*p**2 + 2111*p + 17. Determine i(-45).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2065  (b) 5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2 - -1) + (-25 - -15) + 14 + (-53 - 20)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t + 12 = 0, y + 0*y - 326 = -4*t. Suppose 108 = w - 3*h, 3*h - 184 = -5*w + y. Does 35 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 591, 1486, 2977, 5064, 7747, 11026, 14901?\n\"Answer: 298*w**2 + w + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9\/11 + -78\/55. Let n be 3 - (-2 - 0)\/2. Let s = -15468 - -15473. Which is the biggest value?  (a) s  (b) g  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27, 120, 215, 312, 411?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 52106 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4215 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 630 is divided by 161.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -22, -21, -20, -31, -66, -137, -256?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 13*i**3 + 3*i**2 - 72*i + 478. List the prime factors of a(6).\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 24*c**2 + 4*c + 12. Is i(6) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -q - 3*y, q - 2*y + y - 58 = 0. Let j = 30 - 11. What is the remainder when q is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 65368436 and 228?\nAnswer: 196105308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3885 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 + 19*c - 671. Let t be m(18). What is the third biggest value in 1\/2, 270, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.138?  (a) -12  (b) -0.5  (c) 2441\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-34)\/(-22) + -1 - (-41552970102)\/5313. What is i rounded to the nearest one hundred thousand?\nAnswer: 7800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7272 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -2*b + 178, -2*h + 78 = -b - 17. Let m = h - 42. Solve -2*n = -4*z - m, n = -z - 0*n + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 plus -451?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 - 8*w - 10. Let v be 1\/((2 + 3)\/35). Suppose 2*f - u = -v, 4*u = 4*f + 5 + 3. What is p(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 96618 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r + 1. Let a(c) = 10*c - 10. Determine a(i) - 6*p(i).\nAnswer: -2*i - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*w + 111 = -35*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the first derivative of b**2\/2 + 10*b - 58. Let g be c(-6). Is 43 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 138730, 0.1, 5, 199?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 954, 955, 966, 993, 1042, 1119, 1230, 1381?\nAnswer: 1578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 160*i**4 - 77 with respect to i.\nAnswer: 640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*(sqrt(35) + ((sqrt(210) - 1*sqrt(210)) + sqrt(210))\/sqrt(6)))\/(-2*sqrt(343) + -5*2*sqrt(7)).\nAnswer: -5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 4\/30 + 407\/(-165)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/(-12))\/(11\/(176\/16))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 328 a factor of 6232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 6  (b) -0.03  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) be the second derivative of 13*a**4\/12 - a**3\/3 - a**2\/2 + 2*a. Is x(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -329, -2543, -8513, -20117, -39233, -67739, -107513, -160433?\n\"Answer: -313*c**3 - 23*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 5 = 12*u. Does 13 divide (u - -85)*2\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2013 - 2002. Let q be 5*1*12\/20. Solve q*i + 15 = 0, 4*p - i + 0*i = -n for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 4 = 5*d - 34, 0 = -d + 4*q - 17. Suppose d*y - 7 = t - 3, 2*y = -4*t + 12. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5845 * -3499.\nAnswer: -20451655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 21, 1\/7, 4\/11, 2\/13, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (2 - (-960)\/18)\/(6\/558)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1429*v - 6616*v + 143*v - 1864*v - 2118*v.\nAnswer: -11884*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1 - ((-92)\/18354)\/((-4)\/1158) and -47\/42.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1449 + 2887 + 2*g - 1438.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 4 + 3)*(-4*p + 4*p + 2*p)*((0*p - 2*p + p)*(0 - 2 + 3) + (0*p - p + 0*p)*(2 - 6 + 2) + 0*p + 2*p + 0*p).\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(143)\/((sqrt(88)\/sqrt(2))\/sqrt(4)))**2*-3 + -2*sqrt(117) + 3 + sqrt(117) + (sqrt(117) - (sqrt(117) + sqrt(117)*-1 + 0)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7269?\nAnswer: 3, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211220110 - -21?\nAnswer: -211220012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*n**3 + 75 - 74 + 6*n**4 - 2*n**4 + (-4*n - n + 3*n)*(-2*n**3 + 3*n**3 + 0*n**3).\nAnswer: 2*n**4 - 3*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of 35*i**2\/2 - 141*i + 185. What is u(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 + 22*g**2 + 24*g + 71. Let d be m(-21). Solve -3*b = -b - d, -3*b + 12 = -3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*((-309)\/15 + -4). Let f = 49 - s. Let v = 0.28 + -0.18. Put v, f, 0 in decreasing order.\nAnswer: v, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 3:35 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.2, 1\/9, 0.4, 1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*l + 3132 = 3*l + 2268 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 49454387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(((sqrt(180) - 2*sqrt(180)*-2) + sqrt(180))**2 + (sqrt(180)*-2*-2)**2).\nAnswer: -28080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5 + ((sqrt(3) - sqrt(27)) + 3)*6)**2.\nAnswer: -312*sqrt(3) + 601","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2\/313 + 612\/2191. Let j = 0.427047 - 0.027047. Which is the nearest to 2\/5?  (a) 15  (b) t  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 817622763 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -1, 34, 4, 5, 161, 10 in decreasing order.\nAnswer: 161, 34, 10, 5, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6341295 milligrams in tonnes?\nAnswer: 0.0000000006341295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 461*h + 13 = -459*h, 0 = -3*t + 3*h + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/5 of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 625913, 625910, 625907, 625904, 625901, 625898?\n\"Answer: -3*h + 625916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2448 - 0?\nAnswer: 2448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13975643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 3*w + 9503, -3*p + 4657 + 2471 = 2*w. Calculate the greatest common divisor of p and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 5*z**5 - 560*z**4 + 15505*z**3 - 28810*z**2 = 0?\nAnswer: 0, 2, 43, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 5 * 82.57171\nAnswer: 412.85855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 less than -36.5803?\nAnswer: -36.5803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:53 PM and 10:46 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.286 and 0.09?\nAnswer: -0.02574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-336)\/36 - -9)\/(-1*1\/(-21)). Put u, 0, -41, -5 in increasing order.\nAnswer: -41, u, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 4*z = -k + 7, 4*k - 85 = -3*z. Suppose 0 = -2*w - 3*y + 33, k = 4*w - 3*w + y. Calculate the highest common divisor of w and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ufff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0\/(-1)*(-1)\/2. Let c(i) = -i + 9. Let r be c(s). Solve 4*a = 3*d - 3, -d = -5*a + a - r for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = -w**3 + 4*w**2 - 261. Let l(g) = 2*g**2 - 131. Determine -2*j(p) + 5*l(p).\nAnswer: 2*p**3 + 2*p**2 - 133","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, -560394 in ascending order.\nAnswer: -560394, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**3\/5 - 24*a**2\/5 + 108*a\/5 - 112\/5.\nAnswer: -(a - 2)**2*(a + 28)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q + 4*j + 8, 0 = -5*q + 5*j - 4 + 39. Solve 0*v + 5*w - 20 = 5*v, q*w + 16 = -4*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 2:11 AM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t**3 + t**2 + t - 1. Let k(p) = 4*p**3 - 3*p**2 - 3*p + 3. Suppose -f + 4 = -2*c + 2, 0 = f. Let a(y) = c*k(y) - 3*n(y). Determine a(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -188010 divided by 6\nAnswer: -31335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 5 + 2 + (-2 + 1 + 5)*(-4 + 42 + 14))*(0*p**2 - 3*p**2 + 5*p**2) as k*p**2 + c + i*p and give k.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7758 + 18?\nAnswer: -7740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 216*z + 134*z**3 - 49*z**3 + 72*z**3.\nAnswer: 157*z**3 + 216*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 90608\/9 + -10062. Factor -22\/9*v**2 + 70\/9*v - d + 2\/9*v**3.\nAnswer: 2*(v - 5)**2*(v - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 2:27 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 99 + -35. Suppose 0*u = -3*u + 9, -5*t + 2*u + a = 0. Suppose -4*x + 30 = -2. What is the smallest common multiple of x and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -11 - 18*m + 39*m - 12*m + 38*m**2. Is 12 a factor of b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**4 + 96*h**3 + 9*h**2 - 282*h - 192.\nAnswer: -3*(h - 32)*(h - 2)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -1864*w**2 + 17*w. Let n(r) = -233*r**2 + 2*r. Calculate 6*f(h) - 51*n(h).\nAnswer: 699*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 9987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1041*h - 77 + 79 - 110 - 76.\nAnswer: 1041*h - 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fyf when three letters picked without replacement from dfddwyddwdddddddd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*x + 3463 - 2999 = 0 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6207*f - 20*f**2 - 6207*f + 55*f**2 + 20*f**2.\nAnswer: 55*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 7016984 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*h**2*i**3*p - 6*h**2*i**3 + h**2*i - 2*h*i**3*p + h*i**2*p - 4*i**3 - i**2*p wrt h?\nAnswer: 4*i**3*p - 12*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 207, 770, 1687, 2964, 4607?\n\"Answer: l**3 + 171*l**2 + 43*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 4:44 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 64*t - 70. Let c(q) = 21*q - 23. Let n(a) = 10*c(a) - 3*y(a). Let p(z) = 2*z**2 - 5*z - 27. Let g be p(-3). What are the prime factors of n(g)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + 1e2?\nAnswer: 1e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2716\/9 - -304. Let g(x) be the second derivative of 0 + 1\/3*x**6 + 13\/15*x**5 - 4\/3*x**2 - x - d*x**3 - 17\/18*x**4. Suppose g(c) = 0. Calculate c.\nAnswer: -2, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -127\/2448 and 41\/8626464.\nAnswer: 146649888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -11.1 - -11. Let a = -894.3 + 894. What is the nearest to i in 1, a, 5\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25095*k**2 - 7*k**3 - 25095*k**2.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than 6\/266501593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -8897 divided by -6?\nAnswer: 8897\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20*15\/(-120)*(-180)\/26100.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (z - z - 2*z)*(12*z**2 - 6*z**2 + 3*z**2) + 1 - 2*z**3 + 2 + 0*z**3 in the form o*z + w*z**3 + q*z**2 + d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 651 + 1638 = -3*l, -i = 5*l - 175. Calculate the remainder when i is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -6 + (4 - (1 - -1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 4*o**2 + 2. Suppose 5*q = 3 + 2. Let i be (-25)\/(-15)*(-1 + 4). Let k(z) = -z**2. Give i*k(p) + q*j(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = 13284*m + 10. Let g(k) = 2*k. Determine a(g(t)).\nAnswer: 26568*t + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2 - ((-13)\/78)\/((-2)\/(-20)). Let y be -2 + -1 + (-3 - -9). Which is the biggest value?  (a) y  (b) s  (c) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 962482 is divided by 2553.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of -o**3\/3 - o**2\/2 - o. Suppose 3*p + 4 + 2 = 0. Calculate y(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4a + -2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 407 a factor of 10165419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 119.3418 millilitres?\nAnswer: 0.1193418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kwgggssjgasa. What is prob of sequence jkg?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9666 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the second derivative of 227*l**5\/20 + 20*l**3 + 2*l + 536. What is the second derivative of a(k) wrt k?\nAnswer: 1362*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -9*u + 4*u. Let g = u + -4. Let f(n) = -n**2 + 87*n - 841. Let y be f(76). Sort y, 4, -6, g.\nAnswer: -6, y, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -1\/427, -3, 4\/5, -2, -0.3?\nAnswer: -1\/427","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.14 - 2.86. Let p = -27 + 30. Sort f, p, -0.5 in descending order.\nAnswer: p, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + s)*(0*s**2 - 96*s**2 + 0*s**2)*(8 - 10 - 10).\nAnswer: 1152*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {k: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) be the first derivative of -3 + 1\/8*j**2 + 1\/12*j**3 + 0*j. Factor c(g).\nAnswer: g*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1245904, 1246026, 1246162, 1246318, 1246500, 1246714, 1246966, 1247262?\n\"Answer: b**3 + b**2 + 112*b + 1245790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.04 + 0.24. What is the nearest to d in 4, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -73*s + 51*s + 200926. Which is smaller: s or 9134?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -n - 2*n. Suppose -14 = 12*v - 74. Solve -7*m = -v*m - n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0387 times -15406?\nAnswer: -16002.2122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 109*k - 4488. Calculate g(40).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/252 and -13\/384.\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((18\/(-4))\/(33\/(-44)))\/(465\/1085)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2360)\/(-708))\/((-5)\/(-3)). Put a, -572, 5 in increasing order.\nAnswer: -572, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16653852 divided by 1387821?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-1 - 3) + 3 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of 5*j**7\/42 + 13*j**3\/3 - 12*j**2 - 27*j. Let u(a) be the first derivative of r(a). Find the first derivative of u(i) wrt i.\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 399 minutes before 4:01 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 + -2 + (2 - -3) + (78 - 92).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 7*s**2 - s + 4. Let y(i) be the third derivative of -i**5\/3 + i**4\/8 - 11*i**3\/6 + 2*i**2. Determine 17*j(u) + 6*y(u).\nAnswer: -u**2 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 18 + 98 = 0. Suppose 7*o + 5 = k. What is the tens digit of 1\/(-4) + o + (-738)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-109)\/(7848\/(-4032)))\/96\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 PM and 12:16 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12797478 is divided by 56626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 167\/128270?\nAnswer: 167\/128270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the second derivative of 3*p**3\/2 + 21*p**2 + 246*p - 1. Let f(s) = s**3 - 8*s**2 - 10*s + 9. Let b be f(9). What is the tens digit of n(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 368 and 2208?\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wjwjyjynijne. What is prob of sequence ynj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of 365*d**9\/252 - 287*d**5\/60 + 2*d**2 - 1071*d. What is the third derivative of h(m) wrt m?\nAnswer: 87600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3278 - -3273. Put -102, -4, q, 1 in descending order.\nAnswer: 1, -4, q, -102","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -203826240 divided by 192\nAnswer: -1061595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 1.11, -1\/10, 4276, 2 in increasing order.\nAnswer: -1\/10, 1.11, 2, 4276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.3 + -4.3. Which is the third biggest value?  (a) 13  (b) v  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.4 - 0.6. Let q = t + -22. Let c = -22.999943 - q. Round c to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.155 + 0.2. Let z = -0.044946 + j. Round z to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 5602*o + 5775 with respect to o.\nAnswer: 5602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 222720422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zizzziiizziizziz?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 629\/18 at least 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 202602692?\nAnswer: 2, 569, 89017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -230, -72, -2\/11, 0.18?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1054*v**2 - 719*v**2 - 314*v**2.\nAnswer: 21*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-5))**21)**(2\/7)*(v\/((v\/(v\/(v\/v**(3\/2))))\/v)*v*v\/(v\/v**(-1\/9)))\/(v\/(v*v**(-1\/2)*v*v*v))**(2\/13) assuming v is positive.\nAnswer: v**(-6137\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -158204.923 - -158077. What is t rounded to the nearest integer?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3 or 618.47?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.2 + -3.2. Which is the second smallest value?  (a) -1  (b) w  (c) -3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 2185481287 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -1\/77809?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -71461.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-6)*21\/49. Let o be (-17)\/(-3) + 2\/6. Let a be (o\/3)\/(-2) - -4. What is the closest to a in w, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*y + 48*y = -37*y + 3*y + 2072 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 117 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4017 by -190.\nAnswer: 4017\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 23*m - 32 = -20*m, 10 = 2*o - 5*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 406 + -402. Sort 10, 0, 3, c in decreasing order.\nAnswer: 10, c, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -258.1330487 rounded to 2 dps?\nAnswer: -258.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96*m = -111*m + 435. Calculate the remainder when (47 - (-1 - 1)) + -4 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddididddddd. Give prob of sequence didi.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 48 and 519774?\nAnswer: 4158192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-4 - 3 + 6)*(3 - 4 - 8) + 1 + 1 - 3)*(-4*j**3 + 0*j**3 + 7*j**3).\nAnswer: 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -5, -3, 1\/7, -0.4, -0.16?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 7*t + 53 - 53. Let w(c) be the first derivative of 0*c + 2 - 1\/2*c**2. Calculate w(r(f)).\nAnswer: -7*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*h + 2 - 2 + h + 1 - 1 + (3*h - 4*h + 0*h)*(-1 + 5 - 2) + 2*h - 7*h + 3*h - 2*h - h + 4*h + 4 - 4 + 4*h + (-5 + 3 + 3)*(-3*h - h + 2*h) + h + h - 3*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:49 AM and 2:17 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 383257741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -11 + 8e?\nAnswer: 7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -20, -158, 4, 1 in descending order.\nAnswer: 4, 1, -20, -158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57896340 and 300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + -3cdd4?\nAnswer: -3cdd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 443090976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 - 2*w - 1. Let o(x) = x**2 - x + 1. Let l be o(1). Suppose -2*g + 0*g - 4*b = 0, l = b. Let r be t(g). Which is smaller: r or -4\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5 or 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2577537647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*v + 2*v + v**4 + (3*v**3 + 0*v**3 - v**3)*(-3*v + 5*v - v) + 0*v**4 + 0*v**4 - v**4 + (v**3 + v**3 + v**3)*(7*v - 4*v + v).\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -y + 3*y, 4*f - 1063 = y. Let c be 6\/(-10)*13\/(-39) - (-828)\/60. Calculate the greatest common factor of c and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 39 divided by 252533?\nAnswer: 39\/252533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10121 + -105?\nAnswer: 10012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -44214 (base 5) to base 3.\nAnswer: -11012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:52 PM and 12:16 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5*x**2 - 5*x**2 + 6*x**4 + 0*x + 5*x wrt x.\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -3\/5  (b) 4  (c) 142\/3  (d) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 14*a**2 + 17*a**2 + 16*a**2 - 1 to the form q*a**2 + i + x*a and give q.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34 + 48. Let j = 495 - 488. What is the greatest common factor of j and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -6*l*p**2*v + l*p*z + 2*p**3*v*z + 3*p**3 + 157*p*v**3*z + p*v**3 + 13*v wrt z?\nAnswer: l*p + 2*p**3*v + 157*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*p + 716 - 2254 = 769*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 17802 and 12138642?\nAnswer: 774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w**3 - 13*w**2 + 52*w. Calculate g(7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooojgfjof. Give prob of sequence offj.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1\/2, -4, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1482 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: Let r(o) = -o**2 - 22*o - 51. Let p(x) = -x**2 - 44*x - 103. Let a(j) = -3*p(j) + 5*r(j). Let t be a(13). Solve -2 = -t*w - 12 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*s - 707 = 427. Let d(p) = -p**3 - p**2 + p + 4. Calculate the remainder when s is divided by d(-4).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * 0.94.\nAnswer: 0.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 9:31 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.20339 times 137?\nAnswer: -27.86443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -20511 - -12573255\/613. Let u = -65663\/3678 + z. Let g = -21515\/642 - -4\/321. What is the common denominator of g and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t + 6*a - 23*a - 71 = 0, 0 = -5*t - 5*a - 192 + 177 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -8*n - 16. Let h be r(-5). Let l(t) = 23*t - 38. What is the units digit of l(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 15. Let v be (s + -1)*9\/9. Find o, given that -2\/9*o**3 + v + 2\/9*o + 0*o**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1147 + -740. Is u 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 814466384?\nAnswer: 2, 47, 83, 13049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 74 - 299\/4. Let w = -0.1 + -1.9. Let z = w + 1.8. What is the second biggest value in z, l, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -404, -0.2, 0.2, 0?\nAnswer: -404","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:55 PM and 8:58 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1261701 is divided by 157705?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -96, -212, -360, -558, -824?\n\"Answer: -3*f**3 + 2*f**2 - 101*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -12*k + 7*k. Let r(q) = 3*q - k*q - 3*q. What is r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -4.3183941 and 0.0724.\nAnswer: -4.2459941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) -71  (b) 26  (c) 0.2  (d) -5  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h**2 - 6*h - 9. Let n be g(7). Let b be n*(-9)\/12*42. Suppose 4*d - d - b = 0. What is the highest common divisor of d and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 8 = -4*j, -2*z + j = -2 + 14. Suppose -4*q + 1 = m + 16, m + 11 = -3*q. Which is bigger: z or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9 and 50013.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s**3 + 2*s**3 + 2*s**3)*(-5*s + 2*s + 8*s) + (30*s**4 + 9*s**4 + 52*s**4)*(-2 + 0 + 4).\nAnswer: 197*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 57952 and 0.834?\nAnswer: 57951.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 1 + 9 = b, a = -1. Let y be 2\/(-35)*(b - 3). What is the closest to 4 in 3, 0.08, y?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 519, 985, 2337, 5019, 9475, 16149, 25485, 37927?\nAnswer: 53919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19*((33\/(-2))\/(-33))\/(1\/(-2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 768130 rounded to the nearest ten thousand?\nAnswer: 770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 163723664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (8*h**3 - 8*h**2 + 8*h**2)*(6*h**2 - 5*h**2 + 5*h**2).\nAnswer: 48*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -22. Let q(c) = c**2 + 3*c + 1. Let k be q(o). Solve -2*a - 27 = -k*p, -4*p + a + 3*a + 24 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -14*j**2 - 12*j - 11*j**2 + 16*j - 8 - 8*j**2 wrt j?\nAnswer: -66*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 3*x**2. Let o(n) = 1869*n + 2. Calculate a(o(g)).\nAnswer: 10479483*g**2 + 22428*g + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 2 + 3)*(1746*m**5 - 715195*m**4 + 715195*m**4).\nAnswer: 1746*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 44304 and 102180.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - j = -5*a - 53, 4*j = -3*a - 144. Let i = -10 - j. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1084310362 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 176 - 173. Suppose -t - m = -110. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5101, -8288, -11461, -14614, -17741, -20836, -23893, -26906?\n\"Answer: v**3 + v**2 - 3197*v - 1906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 3, -0.5, 0, -23.\nAnswer: -23, -6, -0.5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -23525 divided by -8845\nAnswer: 4705\/1769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 9*n - 384 = 0. Calculate the remainder when n is divided by 37.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 - 10. What is the closest to 1 in -1, 2\/7, 5, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.5 and 127.7.\nAnswer: 127.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 122213516 to the power of 1\/3, to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2528, 106, 276 in descending order.\nAnswer: 2528, 276, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 771 is divided by 70.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6301 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(209)\/sqrt(396) + (sqrt(475) + -4)**2.\nAnswer: -239*sqrt(19)\/6 + 491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pl when two letters picked without replacement from flffxxfxpxpxxflcf?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is a6 - 666942?\nAnswer: -666847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92650825?\nAnswer: 5, 83, 44651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9635834 millimeters in nanometers?\nAnswer: 963583.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -208134.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2576587 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-16)\/(-12) - 1132\/(-6). What is the third derivative of 23*x**4 + u*x**2 + 20*x**2 + 30*x**4 - 25*x**2 - 16*x**2 - x wrt x?\nAnswer: 1272*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 1, b: 2}. What is prob of picking 1 k and 1 b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -19*x**3 - 6*x**2 - 4*x + 3. Let v(k) = 17*k**3 + 9*k**2 + 5*k - 4. Calculate 3*s(a) + 2*v(a).\nAnswer: -23*a**3 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 600 + -622 + 186\/(-5) - (-2)\/10.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 divided by 8606?\nAnswer: -10\/4303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*k = -20*k. Suppose k = 14*d - 10*d + 4*q - 1252, -d - 5*q = -321. Is d a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d + 64 = -7771*v + 7767*v, -9*v = -d + 16 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2422199993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 206519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1100 + -258. Suppose l + 38 = 22*r. Solve 5 = 7*h + r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 558 minutes before 10:28 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*j - 35 = -13*j. Solve -2 - j = 3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 345703.6 rounded to the nearest 10000?\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 - 16*c**2 + 10*c - 33. Let p(s) = s**3 + 13*s**2 + 15*s + 19. Let i be p(-12). Is n(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1544 is divided by 222.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/16*(-30)\/(-150).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3829447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 2491.988 millimeters?\nAnswer: 249.1988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32781848 is divided by 41080.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.321698534 rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*o - 4*o - 5*i - 5, 3*i + 3 = 5*o. Suppose -2*b - 38 = -2*w, -2*w - 3*w + 71 = b. Suppose 6*d - 3*d - w = o. Solve -12 = d*c - 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the third derivative of -p**4\/6 + 4*p**3\/3 + 10*p**2. Let m be 1\/(-2) - (-4)\/8. Let w be t(m). Calculate the highest common factor of w and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1\/9, 0, 0.8?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 305*g**2\/2 - 6101*g\/2 + 10.\nAnswer: (g - 20)*(305*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4 + (-108)\/(-30) - 7\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ftcatctqttaqtci. What is prob of sequence fq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 455 is divided by 97?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 + 3 - 4)*(-2 + 5 - 2) - 4 + 1 + 2)*(-6*a - a - 12*a)*(10*a - 5*a**2 - 3 - a**2 + 4*a**2).\nAnswer: 38*a**3 - 190*a**2 + 57*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 390 - 99 = 73*b - 512 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 138*w - 32. Let o be j(2). Suppose 50 = -2*d + o. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/1261215 and 21\/206699125?\nAnswer: 1860292125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 262783 is divided by 2053?\nAnswer: 2052","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**4\/4 + 119*s**3\/2 + 14393*s**2\/4 + 6785*s - 10443 = 0.\nAnswer: -118, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1008 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -6 * -470.636\nAnswer: 2823.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003785 to 6 dps.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 12985, 13006, 13027, 13048, 13069, 13090?\n\"Answer: 21*u + 12964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*d + 4*u + 48, 4*d - 715 = 5*u - 660 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1720501 and 853?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 5123139 or 5123137?\nAnswer: 5123139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -19.3 + 0.3. Let u = t + 18.7. Which is the closest to u?  (a) -5  (b) 4\/9  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 1985518748 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 182803, 1462197, 4934835, 11697337, 22846323, 39478413, 62690227, 93578385?\nAnswer: 133239507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j + 10. Let o be b(-8). Solve 6*d**3 + 3*d**4 + 49 + 3*d**o - 49 = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2060 and 515.\nAnswer: 2060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -203442112 (base 5) to base 7.\nAnswer: -10111625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*f - 5*f. Let p(k) be the second derivative of 0*k**5 - 2*k**2 + 0*k**4 + f*k**3 + 0 + 1\/15*k**6 - k. What is the first derivative of p(r) wrt r?\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22054940 is divided by 1126.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 2*m + 72 = 4*v, 0 = -2*v - 3*m + 40. Suppose 0 = o + q - v, 5*o + 11 = -q + 76. What is the highest common factor of 108 and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.8 * 0.13677465.\nAnswer: 0.24619437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 140*k**2 + 24*k - 286*k**2 + 149*k**2 + (k - 2*k + 0*k)*(2*k + 2*k - 2*k) + k**2 - 2*k**2 + 2*k**2 - 2*k - 3*k**2 + 2*k.\nAnswer: -k**2 + 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6 - -1. Let p = f + 16. Let z = 10.8 - p. What is the nearest to z in -0.1, -3\/2, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6417, 3, -1, 4, 12, 0.\nAnswer: -1, 0, 3, 4, 12, 6417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.6 + -0.4. Which is the nearest to 1\/4?  (a) 2\/17  (b) -4  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.047 - 0.021. Let f = t + -0.426. What is the closest to 1 in -3, 8, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 - 6a5?\nAnswer: -6a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lcdcccmmc. What is prob of picking 1 l and 1 c?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 211222020 + 100?\nAnswer: 211222120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -46. Let z = v - 20. Calculate the common denominator of -55\/16 and ((10\/z)\/(-1))\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = 15*j - 1. Let z be q(2). Suppose 4*l = 11 + z. Suppose 12*m = 1 + 47. Sort m, l, 2 in increasing order.\nAnswer: 2, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + w = -34, 4*w + 17 = -2*v + 5*v. Suppose -v*q - 70 = -2*q - 5*x, 4*q + 2*x + 56 = 0. Let g be (-11)\/q + 2\/(-4). Is 1 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1356 + 1355. Let v(p) = -35*p**3 - p**2 + p + 1. What is v(n)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t + 5. Let c = -13 - -19. Let l be (-88)\/24 - 2\/c. Determine h(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2\/11, 8, 5.\nAnswer: 2\/11, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.41 + -2.59. Let r(w) = w**2 + w + 1. Let g be r(0). What is the closest to g in 0.1, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 8*j - 139. Give d(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -173651628, -347303258, -520954888, -694606518?\n\"Answer: -173651630*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/417268 and -11\/11432.\nAnswer: 834536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*a**3 + a + 908 - 908 - a.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29693 is divided by 128?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.06226 and 1.\nAnswer: 0.93774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 4 - 0. Let v be (-2)\/4 - ((-13)\/2 - -6). Let l(r) = r**3 - 10*r**2 - 10*r - 6. Let w be l(11). Put w, v, t in descending order.\nAnswer: w, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (28\/(-20))\/(286\/2574 + 26\/(-315)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) be the first derivative of -x**6\/3 + 16*x**5\/5 - 6*x**4 - 4*x**3\/3 + 13*x**2 - 12*x - 37. Factor z(s).\nAnswer: -2*(s - 6)*(s - 1)**3*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (152\/6)\/((-6)\/(-9)). Let l = h - 15. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*w + 3*w - 5*w - 5*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) be the third derivative of d**6\/120 + d**5\/12 + d**4\/6 + d**3\/3 + 3*d**2. Let r be s(-4). Solve -10 = 3*p + r*t, -2*p - 3*p - 4*t - 16 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -44 - -131\/3. Let l = -61 + 65.1. Let w = l + 0.9. Which is the closest to j?  (a) w  (b) -1\/4  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i + 4*w + 6 = 0, -155*i - 18 = -158*i + 4*w for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 13\/(-24) - (-4)\/(-39 + 7). Put 0.1, a, 0.3, -2\/5 in increasing order.\nAnswer: a, -2\/5, 0.1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 a factor of 23236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 + d**2 + 16*d - 14.\nAnswer: d**2 + 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*q + 5*f = -8*q - 15, -f - 6 = 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3359.9 - 3423.943. Let w = -0.0085 - 63.9915. Let c = m - w. What is c rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -4*x + 20, 5*x = -4 + 29. Suppose 6*f = -y*f + 474. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = 39*f**5 + f**4 - 487*f - 3. Let h(y) = -40*y**5 - 3*y**4 + 490*y + 4. Let s(g) = 3*h(g) + 4*x(g). Find the second derivative of s(p) wrt p.\nAnswer: 720*p**3 - 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*p**2 - 2*p - 739*p - p**2 + 4203*p + 0*p**2 to the form i + z*p**2 + b*p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes after 3:36 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lglkvgogvvvmvgm. Give prob of picking 1 m, 1 k, and 1 o.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - 1. Suppose -5*j + 0*j + 28 = -q, 3*q + 19 = x*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**2 - 7*y + 6. Let p be m(-8). Let j be 0\/(p + 2 + -3). Let o(b) = -b**2 + 28. Does 19 divide o(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v + 8 = 3*t, 16*v + 6*t - 11 = 17*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -3, -276, 11 in decreasing order.\nAnswer: 11, -3, -5, -276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 5345\/936 + -10\/117. Let y = 166939\/28 + -5959. Calculate the common denominator of y and q.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*y - y - 27 = 17. Solve 37*g + y*w = 42*g, -2*g = -4*w - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l + 0*b = b - 89, l - 5*b + 67 = 0. Calculate the common denominator of -103\/18 and 6\/l - 361\/(-28).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 6*w**3 + 3*w. Let x(t) = 19*t**3 + 9*t. What is 7*g(s) - 2*x(s)?\nAnswer: 4*s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 61, 113, 179, 259?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 - 21*x**2 + 17*x - 106. Let k be r(-22). Solve 24 = -k*i - 4*o, 0*o - 3*o = -i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-10) + -36 + 371688\/10455.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(343) - sqrt(343))**2 + 5 - -5*((sqrt(343) - (sqrt(343) + 2 + sqrt(343)))**2 - sqrt(343)).\nAnswer: 105*sqrt(7) + 1744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*q**2 + q**2 - 2*q**2)*(-3*q - 4*q + 5*q) - 167*q**3 - 189*q**3 + 20*q**3 as v*q**3 + i + j*q + b*q**2 and give v.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 3270204 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1\/13)*q)**9)**(-6) assuming q is positive.\nAnswer: q**(-648\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*d**3 + 13*d**3 + 3*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 315 is divided by 89.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/28 and 103\/1120?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -26 or 7?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11304202 (base 6) in base 8?\nAnswer: 1255212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1 + (-4 - 0 - 2) + (-50 - (-132 - -9))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 120 = 4*q. Let o be 3 + -1 + -3 - -22. Let l = o + 25. What is the remainder when l is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4 + -3 - (-16)\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 0*k - 3*v = 42, k + 3*v + 6 = 0. What is the remainder when (-3)\/2*942\/k is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -2*y - y - y - y. Let v(o) be the first derivative of 2*o**3\/3 - 2. Give v(p(i)).\nAnswer: 50*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2363851641?\nAnswer: 3, 1867, 422041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 292 minutes before 8:12 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -29 - -9. Let d be (-15)\/z - (-2377)\/4. Suppose 5*h - d - 60 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18 and 33276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -51 + 88. Let c = -35 + f. Suppose c*o - 2*j = -6*j + 6, j = 4*o - 30. What is the highest common divisor of o and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = -2*j + 4. Let u be (j\/(-9))\/(2\/(-12)). Sort u, -2\/7, -0.1 in increasing order.\nAnswer: -2\/7, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -390 and 12691.893592.\nAnswer: 12301.893592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -135*a - 5 + 4*a**2 - 2*a**3 + 408*a + 4*a**3 - 161*a - 155*a as p + l*a**2 + o*a**3 + q*a and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - (-4 + 2)) + 442 + -472?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/18*1*(-2)\/(-8)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - (45\/10 + -5)*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2010 divided by -67?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -2*j + 18. Let g be o(8). Let h(r) be the first derivative of 1\/4*r**4 + 0*r**3 - 1\/5*r**5 - g + 0*r**2 + 0*r. Factor h(z).\nAnswer: -z**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5121265694 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1057486468.\nAnswer: 2, 73, 3621529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a + 5*h + 6733, 5*h - 8954 = 2*a + 2*a. Let p = -302537\/135 - a. Is -1 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*l - 10*l + 2*l + 0*l + 2*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1971 and 150?\nAnswer: 29.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**2 - 49*o + 334. Let i be p(41). Which is the closest to -1?  (a) i  (b) -3  (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 128*j**2 - 1. Is a(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -6*j**3 - 3*j**2 - 4*j + 24. Let a be b(-10). Let x = a + -2270. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1370 is divided by 136.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -3993\/7 + 3\/7*y**3 - 99\/7*y**2 + 1089\/7*y = 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -4*m + 4. Let t be f(2). Let r(j) = -j**3 - 3*j**2 + 5*j + 6. Determine r(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1537488157?\nAnswer: 29, 2137, 24809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from {r: 2, f: 1, m: 9, d: 1, n: 6}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2077.\nAnswer: 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106733 is divided by 294?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u - 3*s = -23, 5*u - s = -17 + 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, 15313, -5 in increasing order.\nAnswer: -17, -5, 15313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 249654?\nAnswer: 2, 3, 41609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -262620 by -43770.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -16.8. Let a = b - 0.7. What is the closest to 2 in a, 1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -45\/11  (b) 2\/21  (c) -3\/7  (d) -5  (e) -3\/4  (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/((-190)\/(-533) - 1488\/4836)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.879332 litres to millilitres.\nAnswer: 3879.332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**3 - 3*z**2 - 4*z - 2. Suppose -62*h + 104 = -144. Suppose 7 = 3*u - 26. Suppose -u = 3*t + h, 0 = 4*i - t - 21. Calculate p(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 2*h + 1. Let v be c(7). Suppose -v*t - 5 = -16*t. Let r(n) = 396 - 398 + n + n**2 - t*n. Give r(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9 - -4. Let v = -19 + 20. What is the second biggest value in -4, k, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 50 - -1. Let f = w - 48. Solve 0 = -2*v - v + f*h - 6, 0 = 5*v + 5*h for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -1 - 1 - 2*g**3 + g**4 + 4 - g. Let q(c) = -c**4 + 5*c**3 + c - 5. Let a(p) = 2*q(p) + 5*r(p). Find the second derivative of a(z) wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1628 - 1628.5. Which is the smallest value?  (a) 1\/25  (b) -8  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 2 v when three letters picked without replacement from {h: 5, v: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = -q**3 + 8*q**2 - 8*q + 10. Let o be m(7). Suppose -x = 3*x - 72. Solve 3*j + s = 4*s - o, 0 = -2*j - 2*s + x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (3 + -3 + -1)\/((-6)\/186). Find the second derivative of -46*u + 4*u - c*u**4 - 12*u**4 wrt u.\nAnswer: -516*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 0 = -3. Let h be a + (29 - (-6 - -3)). Suppose -9 = 2*o - h. What is the lowest common multiple of o and 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**0*x*x**8)**(2\/29)*(x**(5\/3)*x)\/(x\/x**4)*x**(-5)\/x*x**7*x assuming x is positive.\nAnswer: x**(721\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/((-12)\/(-11))*396\/(-242)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240 = 688*o - 682*o. Calculate the highest common divisor of o and 1130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4772*m + 3813*m - 875670 = 0 for m.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5312091 is divided by 425?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7636 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 9*a - 22 = -3*u, 0 = 2*u - 5*a + 2. Let p = -4 + u. What is the second biggest value in 3\/4, -2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8 - 5. Differentiate -268*f**3 + 26 - 31*f**4 + 268*f**l wrt f.\nAnswer: -124*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(-9) + (-1222433088)\/(-108). Let q = -60005000 - -34886175. Let y = q + m. What is y rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 39 times 3748\nAnswer: 146172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j + 284. Let g(q) = -13*q - 1148. Let r(s) = 4*g(s) + 17*l(s). Let z(y) = y. Calculate z(r(h)).\nAnswer: -h + 236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/(112\/(-35))*(-1)\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 13*v**2 + 20*v - 12. Determine s(9).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 49*z - 4. Let n(v) = 15599*v. Give n(d(c)).\nAnswer: 764351*c - 62396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 51, 98, 139, 174, 203?\nAnswer: 226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w - 9. Let i be j(9). Suppose 0 = 4*v - 3*f - 64 - 7, 3*v - f - 47 = i. Let z = -5 + v. Calculate the greatest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6209 take away 198.707?\nAnswer: 6010.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -96862 - -147633. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-5)\/s)\/(s\/s**7*s*s))\/(s*s\/s**1)**33)\/((s*s\/(s\/s**(-3)*s))\/((s*s**1)\/s)*s**(-5)\/(s\/(s*s*s\/s**(2\/9)*s))) assuming s is positive.\nAnswer: s**(-259\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 189  (b) -2\/3  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 7\/4 - 26\/(2720\/180 - 0)\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 85 and 30?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 29106 a multiple of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 13*t - 28. Let b(r) = -7*r + 15. Let u(f) = 11*b(f) + 6*i(f). Determine u(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g**3\/2 + 3392890*g**2 = 0.\nAnswer: 0, 1357156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -14, -11, -5, -127.\nAnswer: -127, -14, -11, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 270.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 102220 (base 4) to base 11.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -141, 4, 34, -18, -5 in ascending order.\nAnswer: -141, -18, -5, 2, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 2, t: 1}. Give prob of sequence qt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(85)\/sqrt(605) - (-3 + sqrt(17)*6))**2.\nAnswer: -390*sqrt(17)\/11 + 72914\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -156 - 5 + 203*o + 161 - 2 + 2.\nAnswer: 203*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 4*o + 7 - 13582*o**2 + 13576*o**2 + 2*o. Let m be (-1)\/((-1)\/5 + 0). Let v be ((-2)\/m)\/((-4)\/(-20)). Let q(p) = p**2 - p - 1. Give v*y(h) - 14*q(h).\nAnswer: -2*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q**3 + 4*q - 1. Let d be c(-2). Suppose w - 2*b + 3 = 0, 5*w = d*b - 2*b - 10. Sort w, -4, -3 in decreasing order.\nAnswer: w, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -62635103.1 and 18.\nAnswer: -62635085.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1231003 (base 4) to base 3.\nAnswer: -100120111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1257.07 millennia in months?\nAnswer: 15084840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q + q + 4, -5*k + q = -26. Suppose -k*a = -4*a - 4. Calculate the remainder when 22 is divided by (a\/(-6))\/((-1)\/12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 divided by -38?\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 3968 = m - 2*h, -2*m + 2647 = -3*h. List the prime factors of m.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*g - 3*g + g)*(-3*g**4 + 3*g**4 + 5*g**4) + 0*g**5 + 2*g**5 - g**5 - 3*g**3 + 3*g**3 - g**5.\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -762*l**5 + 3*l**4 + l**3 - 3*l**2 + 2*l - 6418 wrt l?\nAnswer: -45720*l**2 + 72*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 2665*s - 5316*s + 2645*s + 37. Let c(u) = -2*u**2. Give a(c(r)).\nAnswer: 12*r**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -117960 divided by -4?\nAnswer: 29490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 - -7. Let g(h) = -h**2 + 11 + 3 + 6 - 6*h - n. Let i be g(-6). Solve 0 = u - 2*v - i, 2*u = v - 0*v + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.34982*546\nAnswer: -191.00172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from oxxooooxoooo?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 697406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*c + 2*c - 20. Suppose 48*p - 53*p = -3*j + 3, -2*j = 3*p + 17. What is the tens digit of (163 - p) + (-15)\/3 + c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 762 - 522. Let v be (2 + 0)*(13 + -1). Calculate the highest common factor of v and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45 = 15*p, -6 - 7 - 11 = -3*v - 48*p + 31*p + 21*p for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 292*k + 470. Is p(17) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 177 - 173. What is the smallest value in -1.4, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o**2 + 4*o + 14. Suppose -5*b + 8 = -2, 2*b = 2*s + 18. Does 7 divide i(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1722, 1708, 1696, 1686, 1678, 1672?\n\"Answer: p**2 - 17*p + 1738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i = 4*q - 37, -q - 5*i = -33 - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 47040 and 2310?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.2  (b) -4  (c) -34\/121  (d) 0.3  (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3 in -0.5, -1, -102?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = -2*j - 3*j. Let x = -3 - -7. What is the second derivative of 10 - j + q + q**x wrt q?\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4, 0.1, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -182, -0.4, 0, -3\/5 in descending order.\nAnswer: 0, -0.4, -3\/5, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.318 + 0.012. Let o = 0.03 - i. Put o, 5, -0.1 in increasing order.\nAnswer: o, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*j + 6449 = 15*j + 7781 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70060 + -36811. What are the prime factors of f?\nAnswer: 3, 11083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-7)\/(-21))\/(1\/6). Suppose 3*y = -x + 17, -5*x - h*y + 0*y = -72. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -643, -1293, -1941, -2587, -3231, -3873?\nAnswer: -4513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5481, -10959, -16439, -21921, -27405, -32891?\n\"Answer: -j**2 - 5475*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 2\/4 - (-3)\/2. What is the first derivative of -4 + 3*u - x*u + 3*u + 0*u wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-158 - 0)\/((-108)\/52 + 2) is divided by 121.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3128944 divided by 26?\nAnswer: -120344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 430958543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -2*v**2 + 13*v + 16. Let s be f(10). Let z = 21 - s. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9026, -9027, -9028, -9029, -9030?\nAnswer: -9031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2, 3, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11967428?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - 3*f**2 + 5*f - 14. Give q(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-99)\/44)\/(374\/(-368) - -1). Suppose -14 - l = -2*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, h: 1, f: 4, n: 1, e: 2}. What is prob of sequence rr?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3164\/(-56) + 59)\/(2\/(-28)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -3\/2*x**3 + 0 - 1\/4*x**5 - x**4 - x**2 - 1\/4*x = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/1675 greater than or equal to 8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -13, 1, 0 in decreasing order.\nAnswer: 2, 1, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 786, 7, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.233 + 98.767. Which is smaller: p or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 392*w - 1 + 0 - 436*w in the form r*w + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x**5\/2 + 6225*x**4\/2 + 1609935*x**3 - 4848495*x**2 + 9709455*x\/2 - 3238563\/2 = 0 for x.\nAnswer: -1039, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((16\/(-56))\/((-110)\/70))\/((-6)\/(-198)*24)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/((-21)\/5))\/(55\/(-5632)*-16)?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = p**2 - 100*p - 3375. Determine b(-27).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7752 is divided by 126\/(-7)*2\/(-4) - -38.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {y: 1, a: 1, t: 3, w: 3, c: 2, k: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 16982905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (d**2 - 3 + 3)*(-3 - 1 + 2)*(-22*d - 13 + 13) to the form i*d + q + z*d**3 + p*d**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 20*z**2 + 16*z + 43. List the prime factors of m(-10).\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*j + 1 = 4, 0 = 2*j + 6. Let c = -9 - 1. Calculate the remainder when (16\/c)\/((-1)\/5) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6940.\nAnswer: 2, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (18 - (19 + -8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*w + 34*w - 5*w + 600 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*j + 984 = 54*j + 125*j. Let k(d) = 4*d + 7. Let l(z) = 15*z + 27. Determine j*l(n) - 22*k(n).\nAnswer: 2*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 475734 and 4128.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 11579066 to the power of 1\/2, to the nearest integer?\nAnswer: 3403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d. Let u(q) = -70*q**2 + 9*q + 7. Give u(r(t)).\nAnswer: -280*t**2 - 18*t + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 589152 and 320.\nAnswer: 5891520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2537.12 and -4205.\nAnswer: -10668589.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**3 + 2737215*g**2 + 374618666415*g + 374615929205.\nAnswer: 5*(g + 1)*(g + 273721)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 115  (b) 4  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.332 + 0.732. What is the nearest to 29 in w, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1091, 1078, 1055, 1022, 979, 926, 863?\n\"Answer: -5*u**2 + 2*u + 1094","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 + 11*t**2 + 10*t - 5. Suppose -5*z + 2*z - 39 = 3*b, 2*z - 3*b + 11 = 0. Calculate d(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the second derivative of o**5\/20 + o**4\/2 - 5*o**3\/6 + 7*o**2\/2 - 21*o. What is h(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1)\/(6\/(-12)*-3 - 2). Is ((-11744)\/64)\/(m\/(-4)) a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (900\/160)\/(545\/1744).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by 21714\nAnswer: 5\/7238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 0, 4*a + 17*g - 16*g = 56. Solve 2*z = k + 8, -5*z + 5*k + 1 + a = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 92*u**2 - 498 + 998 - 500 - u to the form b*u**2 + o*u + p and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7 + -4. Solve o*l + 24 = 5*b, -2*b + 24 = b - 5*l for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 2, w: 1, l: 3, a: 1, d: 1, t: 4}. Give prob of sequence wml.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3 (base 8) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 - -9. Suppose 12 + 24 = i*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: What is prob of sequence ux when two letters picked without replacement from uxuuxuuuuuuuu?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 28.75398 decades?\nAnswer: 2.875398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 * 5\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, o: 4, p: 3, u: 11}. Give prob of picking 2 p, 1 u, and 1 o.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = f**2 - 7*f - 7. Let i = 1 + -2. Let g = i - -11. Let u be l(g). Solve 5*c + u = 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 2*y + 28. Let o be d(-9). Let m = -10 + o. Let a(l) = 2*l + 22. Calculate the remainder when a(m) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10 by 46.\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -121434637, -121434633, -121434629, -121434625, -121434621, -121434617?\n\"Answer: 4*t - 121434641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -0.049  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 86 + -42. Suppose -3*o = 3*u - 5*u - 32, -4*o + 2*u = -l. What is the remainder when 22 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1464 = -101*w - 82*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 536 divided by -110767\nAnswer: -536\/110767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n + 2*f = -12, f - 30 = 4*n + 6*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.013*-8370.\nAnswer: -108.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(847) + sqrt(7))*-4)**2.\nAnswer: 192*sqrt(7) + 16132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -73*i**2 + 180 + 13*i - 370 + 191 in the form o*i + r*i**2 + w and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = o - 13. Let v be (-20)\/(-48) - 2*3\/9. Let x = 0.3 + -0.1. Put x, o, v in decreasing order.\nAnswer: o, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13137.\nAnswer: 3, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27*c - 22*c = -20, c + 131404 = 4*q. Suppose -q = 5*d - 35*d. What are the prime factors of d?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 23200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 47325 and 720.\nAnswer: 2271600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - -2 - (5 + -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1011 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 2*z. Let l = -2.6 - -2.71. Let s = l + -7.11. Is s greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-6)*-4*15\/(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 225943 divided by -15.\nAnswer: -225943\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 380, -7, -2, -4, 506, -3 in ascending order.\nAnswer: -7, -4, -3, -2, 380, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -105 - (-34 + 22 - -8 - 22).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = x**2 + x - 31. Let g = -22 + 20. Let v be g\/(-7) - (-4 + (-60)\/(-14)). What is a(v)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20 - 16 - (6 - -4)) + 41\/5?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h**3 - 23140*h**2 + 69355*h + 92500 = 0. Calculate h.\nAnswer: -1, 4, 4625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/288 and 7\/352.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 25 = 5*z, z - 2*q - 1 = -q. Let n be 8*z*2*(-5)\/20. Solve n = -5*y + 3*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-19 - 2) + 38)*-1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/173910 and 71\/1488?\nAnswer: 1391280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2384 and 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1919831.\nAnswer: 373, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24\/5*q**4 + 136\/15*q**3 + 0 + 0*q + 2\/15*q**5 + 0*q**2 = 0. Calculate q.\nAnswer: -34, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 305511385*v**3 + 293268389*v wrt v.\nAnswer: 1833068310*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 68017.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (81\/(-5103))\/(1\/(-9)). Sort 1, -9, 4, 14, l in decreasing order.\nAnswer: 14, 4, 1, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 69 is divided by 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.5, 1.274, 6\/55, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5720.882 nanograms in tonnes?\nAnswer: 0.000000000005720882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 138 and 2070?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8181?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 0.65, -61\/9, 3?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -84 + 77 - (-54 + 6).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 573.0000206 + -573. Round u to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.4, -0.5, 2\/13, 8\/3, 3\/37, -3, -8.765?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3)\/18 + 92\/(-24). Let l be (16\/140)\/((-6)\/15). What is the closest to -0.4 in s, l, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1242*t - 49913 - 52503 - 36688 = 0 for t.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -47, -3, -6, -110, 3 in ascending order.\nAnswer: -110, -47, -6, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.2  (b) 0.3  (c) 114  (d) -1\/6  (e) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 364414229*o**2 - 26894619.\nAnswer: 728828458*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1534, -6048, -13548, -24034, -37506?\nAnswer: -53964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 74.20067 millennia?\nAnswer: 7420.067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 68\/165 and -133\/150.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (((sqrt(63) + -3 - -1*sqrt(7)*1) + 3)*3)**2 + 2.\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -572*k**3 + 1 - k**4 + 4*k**2 - 2 + 570*k**3 as h*k**2 + w*k**3 + z + t*k**4 + n*k and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2, -194, 1, 0, -4 in increasing order.\nAnswer: -194, -4, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/11 and (-7 - -3 - 46)\/(-23)?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + 5 = -0*l, d - 3 = l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4*y. Let d(s) be the first derivative of s**3\/6 + 70*s - 50. Let v(b) be the first derivative of d(b). Calculate v(l(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 11dbb - 384?\nAnswer: 11a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-704)\/(-22))\/(-4)*1\/(1\/1)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 25, 10, -7, -23 in descending order.\nAnswer: 25, 10, 1, -7, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = 17*c + 8. Let q be o(41). Let f = q - -590. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 24184 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4387253, -8774480, -13161707, -17548934?\nAnswer: -21936161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 130652 is divided by 18505?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 7178863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 3*q + 3 = -2*m, 15 = 5*m + 5*q. Let w(u) = 13*u**2 + 3*u**3 - 5 - 2*u**3 - u + m. What is the units digit of w(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x - 8 = -2*c, 0 = -5*c + 611*x - 608*x + 7. Let p(d) be the first derivative of c - 2\/17*d + 2\/51*d**3 + 0*d**2. Factor p(l).\nAnswer: 2*(l - 1)*(l + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 818*w + 30 = 808*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 - 1. Suppose 2*h + z = -4. Let x be 2\/h + (-1)\/3. Let u(t) = -t. Let m(d) = 3*d - 1. What is x*m(y) - u(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - -328?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.5  (b) 0  (c) -2\/11  (d) -88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 10) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 734 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 326*c - 3198*c - 40208 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -24616 - 3?\nAnswer: -24620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2439 + 2446. Which is the closest to -2\/7?  (a) -4  (b) u  (c) 26  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = q**3 + 3*q**2 - q - 1. Let y be v(-3). Is (-20)\/(-1*(y - 0)) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1102 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (2 + 1 - 5) + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 725 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2382, 8877, 18512, 30315, 43314, 56537, 69012?\nAnswer: 79767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 62 = -2*b, 6*x - 2*x - 3*x + 29*b = 30*b - 30 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(128))**2 + -3.\nAnswer: 2045","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 226.56279 microseconds?\nAnswer: 0.0000037760465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 135279454?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 3*w + 8. Calculate the remainder when 265 is divided by x(29).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m + 10. Give w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 12*r - 69 + 5*r - 15*r. Let a be c(0). Does 23 divide ((-1)\/3)\/(1\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-7)\/(56\/(-12)))\/(33\/(-4))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 29, 66, 115, 182, 273, 394, 551?\n\"Answer: x**3 + 30*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -6 - 81\/(-12) - (-4)\/(-6)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 4)*(-2 + 2 + 2)*(38*n**2 - 76*n**2 + 47*n**2)*(4 - 1 - 1)*(5 - 6 + 0).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -3331457 smaller than -3331456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1)\/(-3)*6)\/((-25)\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qjdrqxrqpddq. What is prob of sequence qdpq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-217 - 131 + 94 + (-3 + 3 - 4)*(1 + 0 - 3))*(-m - 2 + 2) as k + p*m and give p.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, -1, 0.4, 5\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b - 1. Let l(m) = -2*m - 2. Let h(a) = -2*a - 1. Let t(i) = -5*h(i) + 4*l(i). Suppose 0 = -0*r + 5*r. Suppose r = z + z + 6. What is z*t(o) + 8*d(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 324 minutes after 4:37 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Express -44 + 10*z**2 + 42 - 2*z**2 as n*z**2 + b*z + l and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -3*r + 22. Let k = r - -46. Suppose 5*c - 5*x - 55 = 0, x = 4*c - 4*x - 42. What is the remainder when k is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 63.21 - 63.25. Which is the third smallest value?  (a) 0.04  (b) 1  (c) m  (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a second in milliseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -8.3. Which is the biggest value?  (a) -1  (b) 2\/3  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**2 - 11. Calculate p(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -686000 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*q + 5*f - 12, q - 4*f + 7*f = 14. What are the prime factors of 403 + 19 + q\/2*-3?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the first derivative of 0*w - 2\/3*w**3 + 8\/5*w**5 + 0*w**4 + 5 + 0*w**2. What is the third derivative of g(s) wrt s?\nAnswer: 192*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -104 = -3*f - 41. What is the remainder when (0 - 123)*1\/(-6)*4 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 8791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = w + 9. Let a(b) = 2*b + 9. Determine 3*a(t) - 4*d(t).\nAnswer: 2*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 34253.17 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1369 - 741. Let h = 628.5 - t. Which is the biggest value?  (a) 5  (b) h  (c) 2  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/75 of a millennium in months?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 735565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 588 and 3780924?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + -1 + (-3 - (3 + -7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -25568*c**3 - 2 + 25993*c**3 + 63*c**4 - 66*c**4 + (0*c**2 + 0*c**2 + c**3)*(2 - 2 + 2*c).\nAnswer: -c**4 + 425*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (7 - 6) - -8 - (56 + -7 + -4)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:46 AM and 2:52 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 - 45*h - 934. Determine o(-28).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the first derivative of 0*l**3 - 2\/45*l**5 - 1\/6*l**4 + 0*l - 26 + 4\/9*l**2. Suppose q(s) = 0. What is s?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= -356127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*x + x - 3*x)*(-1 - 3 + 2) + (-117*x - 613*x + 243*x)*(4 - 6 + 0).\nAnswer: 970*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -21*k - 175. Let u(a) = 1598*a + 13328. Determine -153*j(t) - 2*u(t).\nAnswer: 17*t + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 20\/(-3)*(-18)\/(-15). Is (4\/d)\/((-2)\/764) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-242))\/(232\/1276)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 795 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -34701.1109088 plus 0.1?\nAnswer: -34701.0109088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 + -36 + (-8 - -13) - (-32 + (-17 - -55))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*l - 17 - 3. Let o(f) = f**3. Let a(n) = -4*n**3 - 4*n**2 - 13. Let u(b) = a(b) + 3*o(b). Is u(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -458 and 1160.65878.\nAnswer: 702.65878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s. Let m(d) = 109*d**2 + 6*d + 3. Let i(n) = 544*n**2 + 28*n + 14. Let v(y) = 3*i(y) - 14*m(y). Determine v(p(u)).\nAnswer: 106*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2*d + 2*d + 6 - 3*d + d**2 - 3 + 3*d**3. Suppose 3*h + 0*z = 2*z - 4, -h - 5*z + 27 = 0. Does 5 divide j(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11104000 to the nearest one hundred thousand.\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -11*k**5\/30 + k**4\/24 + 2*k**3\/3 + k**2 + 4*k. Let d be s(1). Is d >= -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3*c - 2 + (-c + 2 - 2)*(-4 + 3 + 3))*(0*c + 0*c - 2*c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(1\/2)*f**(-13)*f assuming f is positive.\nAnswer: f**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 x when two letters picked without replacement from {p: 5, h: 1, x: 1, i: 1, o: 3, v: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 4512 divided by 6\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 100 + 2 + (294 - 350)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-336)\/(-15))\/(7\/35). Let m = i + -108. What is the first derivative of -4 - 2*f**4 - 3 + m*f**4 - 19 wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*g + 3*g + 16. Suppose 0 = -g*q, -3*x + 4*q = 6*q - 45. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 36 + 0 - (-14 + 0 + -1 + 5 + 19)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 94 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 314.7152 decades in millennia?\nAnswer: 3.147152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 79875511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -5*i + 10, s + 0*s - 8 = -4*i. Suppose 33 = 13*c - i*c. Solve f + c*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 - ((-23 - (-36 - -9)) + 3 + 6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5303299669?\nAnswer: 5303299669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -3\/5  (b) -0.29  (c) 1  (d) 2\/19  (e) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 + 2 - 29 + 24 + 8 + 2*d**2 + 11 + 5.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 28 and 116.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44958*r - 45760*r + 90711*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 3 and -8955030?\nAnswer: 8955033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the third derivative of t**6\/30 + 94*t**5\/15 - 194*t**4\/3 + 784*t**3\/3 + 9*t**2 - 55*t. Suppose r(m) = 0. Calculate m.\nAnswer: -98, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3347\/28 - -421\/4. Suppose -2*o = -4*t - 42, -t - 2*o = -32 + 60. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j - j + 6*j + 259*j**2.\nAnswer: 259*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -o**2 - 5*o + 25. Let l(v) = 2*v**2 + 9*v - 51. Let n(m) = 7*c(m) + 3*l(m). Calculate the least common multiple of 7 and n(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.2 - -0.2. Let q = 43 + -39. Which is the second biggest value?  (a) q  (b) w  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 40255?\nAnswer: 5, 83, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 288 + -278. Let k(h) = h**3 - 10*h**2 + 8*h - 78. Let u be k(d). Solve u*i + 7 = 15 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -19.5 + 19. Let z be (-3)\/(-540)*2*-1. Let j = 1\/10 - z. What is the second biggest value in i, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -3, -133, 2\/9, 0.15, -15555?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*x - 5*p + 16, 2*p - p = x. Suppose -6 = -x*o + 5*o. Is (2 - o)*958\/8 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 2*v + 15. Let x be b(-5). Suppose 3*g - 9 = -3, 5*h - 5*g = 10. Suppose h*w - 7 = 9. Solve w = -x*r + 19 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 612*j**3 - 182*j**3 - 230*j**3 + 2*j + j to u*j + q*j**2 + f*j**3 + v and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 580308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - 2*r = 10. Put r, -3, 20 in ascending order.\nAnswer: r, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ccof when four letters picked without replacement from {c: 2, o: 2, w: 1, f: 1, j: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of -5*i**4\/9 - 3232*i**3\/27 - 7218*i**2 + 5832*i - 579. Determine v so that h(v) = 0.\nAnswer: -81, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(5\/6)*g**(24\/5)*g)**(-1\/36) assuming g is positive.\nAnswer: g**(-199\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-196)\/22 - (33 - 42).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 449 is divided by 113.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 412*x**2 + 414*x**2 + 2 - 1278*x**2 + 425*x**2 - 2.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 229 by -31.\nAnswer: -229\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35271*u**2 - 13268*u**2 + 29421*u**2 + 14072*u**2.\nAnswer: 65496*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 15, 2*g - 1 = 3*v - 6. Suppose 12 - g = 2*f. Solve f*d - 19 = 6 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18460470 + 18460437 = -2*j + 3*o, 4*j = -3*o + 39 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in 2\/31, -2, 1780?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: ((-8)\/10)\/(54\/405)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-243)\/(-9)*(44\/(-110))\/(6\/5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 176*j**5 + 163*j**2 + 30?\nAnswer: 10560*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 212 = -2*l. Calculate the remainder when l + (-3)\/1 + 4 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ffhlehfflhennnflf. Give prob of sequence lllf.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2856?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-1230.\nAnswer: -3690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -24 - -2 - ((-2 - (8 - -1)) + 203 + -200)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -2*b + 1. Suppose 6 = -7*u - 22. Let g be k(u). Solve -w - 5*i = 16 + g, -3*w + 3*i = 3 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4\/819 - 34679\/1638. Calculate the common denominator of j and -17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5*((-24)\/40 + 6654\/15). Let c = z + 1962. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 528 from 0.4.\nAnswer: -527.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together 3.152 and -6.\nAnswer: -2.848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c - 9. Let k be t(9). Let b = k + 3. Suppose -4 = 4*s + b*a, 6 = -3*s - a - 2. Put s, -2, 0.4 in descending order.\nAnswer: 0.4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 139 minutes after 6:00 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q + 1. Let h(y) = -4*y + 6. Let o(z) = -h(z) + 6*l(z). Suppose -6 = i - 2*s, -i + 2*s + 2 = 2*i. Let k(x) = 5 - 5 - i*x. Determine o(k(p)).\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i**3 + 8*i**2 - 5*i + 42. Let d be x(8). Suppose f + 0*f = -r + 500, -3*r + 1503 = d*f. What are the prime factors of r?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -778162 and -778151 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 203457 and 5.\nAnswer: 1017285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -843485 - -34851956717\/41319. Is x < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-291)\/(-194))\/((-1)\/(-2)). Let o(d) = -d**3 - 2*d**2 - 3*d - 1. Let m be o(-2). Put m, 2, p in decreasing order.\nAnswer: m, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 4*n - 42 = 0, -39 = -2*q - n + 2*n. Calculate the remainder when q is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(99)*-1*2 + sqrt(99))\/(-2*sqrt(9)*1) + (sqrt(99) - (sqrt(99) - 2*sqrt(99))*1)\/((sqrt(1089)*2 + sqrt(9) - sqrt(9)) + sqrt(9)))**2*5.\nAnswer: 40095\/2116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1453535 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 224 + -221. Let y(j) be the first derivative of -14*j + 0*j**2 + 0*j**b - 3 - 5\/4*j**4. Find the first derivative of y(v) wrt v.\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1184 times -18.964\nAnswer: -22453.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 + 6*o**2 + 6*o - 2. Calculate the smallest common multiple of y(-2) and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -42 + 18. Let q be ((-1)\/2)\/((-1)\/y). Do q and -21\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 132 divide 11224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -21 + 25. Suppose x = o + 5. Suppose -569 = -x*n - 11. Calculate the highest common divisor of n and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -14, -1, 30, 85?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -93  (b) 0.02  (c) -0.09  (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 41274916 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = 3*b - 60, -2*a + 2 = -4*a. Put 0.5, b, -0.2, 0.4 in ascending order.\nAnswer: -0.2, 0.4, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*d**4 + 2*d**2 - 2*d**2)*(-2*d + 2*d + 2*d).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 12:28 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the third derivative of c**7\/70 + c**5\/60 + 25*c**4\/12 + c**2 + c. What is the second derivative of j(i) wrt i?\nAnswer: 36*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.05  (b) 2  (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3 and 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 186 minutes before 9:23 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 5*t + 2. Calculate r(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 113 + -117. Let a = 12 + -8. Sort -0.4, 1\/2, a, t in decreasing order.\nAnswer: a, 1\/2, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the second derivative of s**3\/2 + 6*s. Let n(u) be the first derivative of u**3\/3 - 1. Calculate n(r(x)).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 612328 + -430787. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*p**4 + 0*p**4 + 3*p**4)*(5 - 1 - 3) - 121207*p**4 + 236742*p**4 - 120725*p**4 as i*p**3 + f*p**2 + n + l*p + m*p**4 and give m.\nAnswer: -5189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 - 18. Suppose 7*s - 405 = 2*s - 3*y, 2*s - r*y - 141 = 0. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/4*2432\/80. Suppose 4*c + t = -g - 3*g, -2*g = 4*c + 74. Let l be c\/(-12)*(-1)\/6. Put 2, 0, l in descending order.\nAnswer: 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19 + i - 5 + 61.\nAnswer: i + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 k when four letters picked without replacement from kkykkkkyky?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 + 29*n - 459. Does 87 divide i(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -1, 4, 5, 461, -743, -3 in ascending order.\nAnswer: -743, -13, -3, -1, 4, 5, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 132164 and 310726.\nAnswer: 29208244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100100 - -110?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*n = -2*n + n. Suppose 2*b = -n*b - 10, 0 = 4*s + b - 37559. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2. Let n(j) = j**2 - j + 1. Let q(i) = -2*n(i) + 4*w(i). Let c(d) = -96*d**2 + 33*d - 33. What is -2*c(x) + 33*q(x)?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {t: 1, r: 7, m: 6}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-25)\/(-10))\/(10\/8). Solve -p*r + 6*r = 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -0.5  (c) -0.1  (d) -117.4  (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 85007.59 weeks?\nAnswer: 14281275.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 5 - -1229994?\nAnswer: 1229999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 111, 70, -7, -126, -293?\nAnswer: -514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 + (-70)\/6)\/(31\/(-186)). Let l = -20 + 39. What is the greatest common divisor of c and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -16*i**3 - 110*i**2 + 641*i - 31. Give n(6).\nAnswer: -3601","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*d - 98 = -128 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 3, -852\/41, 0.3 in increasing order.\nAnswer: -852\/41, -5, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (0 - -1)*(0 + 225 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (5 - 1)\/(2\/4). Let t = 13 - v. Solve -l + t*q + 5 = 0, -q = -3*l - 6*q - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -84 - -87. Suppose -x = 4*x + 3*w - 156, -u*w = -3*x + 108. Calculate the remainder when x is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ppp. What is prob of sequence pp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = 14 - r - 2 - 10 + 1. What is c(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - (5 + -10) - -18 - (59 + -4)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -696*w + 340 = -730*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-3\/7)\/t**(3\/5))\/((t\/(t*t**2\/t))\/t**(2\/3)) assuming t is positive.\nAnswer: t**(67\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: ((-1470)\/21)\/((-504)\/324)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 774447.4ml to litres.\nAnswer: 774.4474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(900)\/sqrt(5) + -1 + (sqrt(20)\/sqrt(4) - sqrt(5)) - (sqrt(10)\/sqrt(2)*-4 + -4)*-6))**2.\nAnswer: 864*sqrt(5) + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.899 - -1.853. What is the smallest value in -0.4, n, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 70*m**2 - 113*m**2 + 64*m**2.\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the first derivative of s**6\/2 - 2*s**5\/5 + 12*s**2 - s - 16. What is the second derivative of f(v) wrt v?\nAnswer: 60*v**3 - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.07 + -0.23. Let i be (-438)\/90 + (-45)\/(-9). What is the closest to -1\/2 in i, s, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -48502 - -0.072043?\nAnswer: -48501.927957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -2*-818210\nAnswer: 1636420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 10\/2761 and -0.185 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, 116.153, 2\/599?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the third derivative of -r**6\/120 - 2*r**5\/15 + 3*r**4\/4 - 7*r**3\/6 - 45*r**2. Let q = 7 + 16. Calculate the remainder when q is divided by l(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*x + 53511 = -3*n + 53793, -x = -5*n + 14 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 76 + -38. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28)\/sqrt(64)*-1.\nAnswer: -sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Add together 24227236 and -2.\nAnswer: 24227234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -4 + g**2 + 5 - 2 + 0*g - 6*g. Give y(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 618874 is divided by 2541.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*y + y**2 - 12*y - 7*y.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000380890794 rounded to six decimal places?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2078, 2065, 2044, 2015?\n\"Answer: -4*x**2 - x + 2083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -129*o - 4. Suppose 5*j - 12 = 2*j. Let m be t(j). What is m rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 - 2*p**2 + 2*p - 2. Let y be 1\/((-2)\/(-16)) + -2. Let x(z) = -5*z**3 + 11*z**2 - 11*z + 11. What is y*x(q) + 33*j(q)?\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -10\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v**4 + v**2 + 2. Let q(d) = 20*d**4 + 160*d**3 + 3758*d**2 + 23040*d + 41436. Let h(y) = 36*a(y) + 2*q(y). Solve h(m) = 0.\nAnswer: -36, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u**4 + 215*u**3 + 1955*u**2 - 7935*u = 0 for u.\nAnswer: -23, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 2*v**3 - 57*v**2 - 27*v + 258. Determine f(29).\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from nnnnnznwnnnnnnn.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-24)\/(-9))\/(-1)*(-78)\/8. Suppose 0 = 19*w - l*w + 294. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f - 4 = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) be the second derivative of s**6\/15 - 55*s**4\/12 + 39*s. Find the third derivative of t(f) wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the first derivative of -5*q**4\/4 - 10*q**3 - 30*q**2 - 40*q - 31. Determine j, given that h(j) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:01 PM and 7:56 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 208078 and 302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -91 + -12 + 13 + 63\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39 = -2*n + 5*t, 4*n = t + 4*t + 53. Let x(z) = -2*z**2 - z + 5. Let s(p) = -2*p**2 - p + 6. What is n*x(d) - 6*s(d)?\nAnswer: -2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-677)\/1354)\/(2\/(-44))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -3 - 6\/(-4)*2. Suppose i + a*i = 2. Solve i*t = -4 - 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 276.002 nanograms to tonnes.\nAnswer: 0.000000000000276002","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 64, -0.5, 959069 in descending order.\nAnswer: 959069, 64, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the first derivative of -10\/21*s**3 + 0*s + 2\/7*s**2 + 4\/5*s**5 - 11\/14*s**4 + 1. Let z(k) = 0. What is k?\nAnswer: -1\/2, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.214267ml in litres?\nAnswer: 0.000214267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/(c**10*c)*c**16 assuming c is positive.\nAnswer: c**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 + 5*p + 2. Let l be u(5). Suppose -4*r + 132 = l*r. What is the third derivative of -7*g**3 - 5*g**3 - r*g**2 + 20*g**2 - 5*g**3 wrt g?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*k**4 + 157*k**3 - 749*k**2 + 1283*k - 682 = 0.\nAnswer: 1, 2, 31\/9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 14602 or 14601?\nAnswer: 14602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the second derivative of m**4\/42 - 30*m**3 + 14175*m**2 + 45*m - 12. Determine p, given that j(p) = 0.\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -4*d + 3. Let a(w) = 9*w + 1. Let z(y) = -2*a(y) - 5*s(y). Let r(u) = u**2. What is z(r(t))?\nAnswer: 2*t**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*p + 8*p - 9*p)*((-1 - 2 + 4)*(10 - 2 + 1) - 48 + 21 + 13).\nAnswer: -25*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/5*4\/(-12)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r - 2*c = 1679 - 1680, 4*r + 19*c - 83 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 5*t + 10. Let o(h) = 21*h + 39. Let v(w) = 9*g(w) - 2*o(w). Let d(z) = 2*z**2. Determine d(v(c)).\nAnswer: 18*c**2 + 144*c + 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 424060999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v - 10. Suppose 5*d = -25 - 10. What is the lowest common multiple of 1 and w(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-9 - -8)\/(-6*7\/(-21)). Let y be (-1)\/(-3) + 2\/(-18). Which is the closest to h?  (a) -1\/4  (b) -7  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes before 12:05 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 6*l**2 + 131*l + 130. Determine h(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/34 + -1 + 539664\/136 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7110785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-143)\/(-22)*-42)\/(-7 - -6). Calculate the greatest common divisor of 1911 and z.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5328557995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - 1 - (-15 + (-19 - -27 - 6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28507 is divided by 69.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 80, -1, -4001, 0, 2, 16, -4 in decreasing order.\nAnswer: 80, 16, 2, 0, -1, -4, -4001","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 8*l + 3. Let k be n(0). Suppose -4*o + 448 = -4*u, -5*o + u + k*u = -557. Let r = o - 106. Solve -d + r*g + 6 = 0, -3*g - 10 = 2*g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - (-6 + 8)) + -6 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0001238818 rounded to seven decimal places?\nAnswer: 0.0001239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 0.7551476 years?\nAnswer: 0.07551476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/8  (b) -0.1  (c) 6  (d) -3\/2  (e) 10.06  (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 - 18*m**2 - 31*m - 10. Give x(-16).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {o: 1, e: 1, z: 2, c: 5, v: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z - 1. Let m be f(6). Suppose 4*a - 2 = 2*q, -6*a + a - 5*q - m = 0. Suppose a = 2*v - v. Is 2 at most v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 1 - 5 = 0. Let l be (-3003)\/(-26) - g\/2. Suppose 4*f - 8*f + l = 0. List the prime factors of f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of 2*m**3\/3 - m**2 + 9*m. Determine g(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6189 (base 10) to base 3.\nAnswer: -22111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -2*g. Let a(p) = -4*p**2 - 6851*p - 6. Calculate i(a(t)).\nAnswer: 8*t**2 + 13702*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1313141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 100819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**2 - 10*f - 39. Let p be z(-8). Let v be 5 + (-2 - p\/(-7)). Let u = -0.11 + -0.89. Which is the closest to 3?  (a) 0  (b) u  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbuuuuuububsbbbubbbb. Give prob of sequence us.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*d**5\/3 + 6700*d**4\/3 + 33392*d**3 + 420308*d**2\/3 + 326830*d\/3 = 0. Calculate d.\nAnswer: -3335, -7, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -28 in 5, 31, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 1677700 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*f + 24*f + 644*f**2.\nAnswer: 644*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 582 + 5. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -27 - (-2 + -14 + 14).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.6 - -34.4. Let h = m - 38. Let s = 6 + -9. Which is the closest to h?  (a) -5  (b) s  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 296 + 4*q - 296 + q**3 in the form i*q**3 + g + h*q + y*q**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = -1330*y + 17. Let a(k) = -1993*k + 24. Calculate 5*a(x) - 7*g(x).\nAnswer: -655*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.207219 litres in millilitres?\nAnswer: 7207.219","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 34 + -32. Let q(w) = -w + 8 - y - 14*w. What is the tens digit of q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1652 minus -298?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of w**7\/840 - w**6\/90 - w**5\/30 - 5*w**4\/24 - 7*w**3\/6 - 22*w**2. Let f(r) be the first derivative of i(r). Give f(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b + 11. Let t be h(8). What is the second biggest value in t, 0.17, -0.4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13814960 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -188, -193, -182, -149, -88?\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*z + 171*z + 344 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2187 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/2)\/((-18)\/8). Let s = 381.786 - -4.614. Let h = -386 + s. Put h, -1, b, -2 in ascending order.\nAnswer: -2, -1, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-4*1*114\/(-304))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of 9*d**7\/70 + 2*d**6\/5 + d**5\/4 - d**4\/4 - d**2\/2 + 2*d. Let g(f) be the first derivative of v(f). Factor g(m).\nAnswer: 3*m*(m + 1)**2*(9*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 60 - 56. Suppose 3*g + 5*c = 272, -t*g - 5*c + 72 = -294. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77 = 5*d - 82 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2 + 21100*h - 84464.\nAnswer: 4*(h - 4)*(h + 5279)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 1 = 10. Suppose -4*y + 25 = -5*m, 2*y + 17*m = 16*m + 23. Calculate the lowest common multiple of y and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5*f = 0. Suppose f*n - 7000 = 2*n. Round n to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 401 divided by -33.\nAnswer: -401\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-2)\/(-14))\/(9\/(-63)))\/(3\/(-159)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 40795 divided by -5\nAnswer: -8159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 650661031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l and 2 i when four letters picked without replacement from liililllllilll?\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -179 - -294. What is the highest common factor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 14*t**2 + 24*t - 14. What is the hundreds digit of m(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:24 AM and 2:19 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*z - 209 = 55 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 171, -3\/4, -207?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -26766416*g**2 - 31*g - 178217?\nAnswer: -53532832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvxlxlvululvv. What is prob of picking 1 v and 1 u?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 416607402 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 77 + -117. Let p = c - -48. Calculate the remainder when 14 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -y**2 - 8*y - 7. Let m be f(-7). Let t(o) = o**2 + o + 6. Let c be t(m). What is the tens digit of 44\/6*c\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + -1 + 2 + 23 + (-93 - -57).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p + 4. Suppose -11 = -5*c - 5*j - 51, -2*j - 5 = c. Let h = c + 15. Calculate the greatest common divisor of h and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -2*v - 5. Let i be m(-4). Suppose -4*g**2 - 3*g**i + 3*g**2 + 4*g**2 + 6*g**3 = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11, -11, 15, 73, 169?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 251, 370, 457, 494, 463, 346, 125?\nAnswer: -218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4718.\nAnswer: 2, 7, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {h: 1, x: 2, z: 8, r: 2, j: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -4993839.\nAnswer: -1997535.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 3\/14, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00052668 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -26244000 rounded to the nearest one hundred thousand?\nAnswer: -26200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = -4*n + 552. Let g = n - 36. Calculate the remainder when g is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1442 is divided by 29.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-41 - -31) + 5 + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the third derivative of -k**8\/336 + 13*k**7\/630 - k**6\/45 - 2*k**5\/15 - 5*k**4\/8 - 24*k**2. Let s(u) be the second derivative of w(u). Factor s(c).\nAnswer: -4*(c - 2)*(c - 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3162 divided by -6?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 460474012?\nAnswer: 2, 7919, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 72220?\nAnswer: 2, 5, 23, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 117*h. Let a(f) = -39*f + 15127. Give a(p(r)).\nAnswer: -4563*r + 15127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8452 - -8464. Calculate the highest common factor of g and 17916.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n**5\/17 + 28*n**4\/17 + 138*n**3\/17 + 280*n**2\/17 + 200*n\/17 = 0 for n.\nAnswer: -5, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -244.8 + 245. Which is the closest to m?  (a) -5  (b) 0.5  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -540, -2156, -4856, -8646, -13532?\nAnswer: -19520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 8*g. Let t(p) = 9*p. Calculate 3*t(v) - 4*y(v).\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 11, q: 4, l: 3}. Give prob of sequence lqul.\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -75?  (a) 4\/3  (b) -19  (c) 5\/59  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9 + -5. Let z be y - (3 - 3 - -2). Solve -z*p - p = 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + (sqrt(175)\/sqrt(5) - sqrt(35))\/sqrt(5)*-6 + -6*(sqrt(7) + -2*sqrt(700))*-5)*6)**2.\nAnswer: -41040*sqrt(7) + 81874836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f + 5*q = -3, 4*q - 6 + 12 = -2*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l - 2*l + 5. Let n(y) = y**3 + 13*y**2 - 2*y - 18. Let f be n(-13). Let v = 21 - f. What is the remainder when v is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 22267339 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(343) + (sqrt(343) - (sqrt(343) + -1))*-5 + sqrt(343) + (-1*sqrt(343)*5)**2 - ((5*4*sqrt(343))**2 - (1 + sqrt(343)*-1)).\nAnswer: -128629 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.0223 less than -23.7702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**2 + 9*z - 64. Determine d(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 5. Let m = 1 - l. Let c be (m*2\/4)\/3. Is c >= -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (4\/2)\/((-10)\/20)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, m: 3}. Give prob of picking 1 m and 2 i.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = 3, 3*l + 9 = -3*m + 15. Suppose f = -m*c - 3*f + 2081, -c + 4*f = -421. Round c to the nearest ten.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191925947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 - 6*w**2 - 4*w + 1. Let n = 75 - 80. Calculate u(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 409, 877, 1399, 1975, 2605?\n\"Answer: 27*j**2 + 387*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 131.04 + 2.96. Let n = i + -133.6. Which is the second biggest value?  (a) -1  (b) -4  (c) 3  (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 13) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3493, 6978, 10475, 13990, 17529, 21098, 24703?\n\"Answer: b**3 + 3478*b + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwhz when four letters picked without replacement from {w: 3, h: 3, z: 2}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -221, -166, -109, -50, 11, 74?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 + 0. What is the greatest common factor of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110100011 (base 2) to base 8.\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 24*q**4 + q**3 - 354*q**2 - q - 42897046.\nAnswer: 96*q**3 + 3*q**2 - 708*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 11790855 divided by -3930285\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -2*i**3 + 2*i**2 + 14*i + 49. Let q be w(-6). Let c = -2342\/5 + q. What is the second smallest value in -2, c, -0.2, -2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2 - -0.2. Let o = 1850.9 - 1851. What is the nearest to z in -0.2, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of z**7\/168 + z**6\/30 + z**5\/20 - 4*z - 10. Determine j so that u(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -3*c. Let q(h) = -662*h**2. Determine q(p(t)).\nAnswer: -5958*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i. Let b = 24 + -20. Suppose b = y + y. Let x(p) = 0*p + 2*p**y - 3*p**2 + 0*p. Give x(l(f)).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 25053486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 600 smaller than 601?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.0109 and -1294.\nAnswer: -14.1046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*g + 4*g - g**2)*(-2 + 5*g**2 + 5*g**2 - g**2).\nAnswer: -9*g**4 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.1073 + -5.1073. Let s = 3.5 - -15.5. Which is the biggest value?  (a) i  (b) s  (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = j**3 - 91*j**2 + 262*j + 161. Determine a(88).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = p**3 + 12*p**2 + 14*p - 41. Give c(-10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -4*b + 4*g + 67, 5*g = 15. Let c be 2\/(-10) + (-6 - (-2856)\/30). Suppose -17*u = -b*u - c. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5808 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {e: 1, b: 1, v: 2, s: 2, o: 1, m: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 310431, 1241873, 2794283, 4967661, 7762007, 11177321?\n\"Answer: 310484*g**2 - 10*g - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y = -3*h + 51, -5*y = -h + 44 + 33. What is the smallest common multiple of 4 and (-5)\/(5\/y*3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p - 4*p + 0*p)*(-2*p**2 + 3*p**2 - 3*p**2)*(-6*p**2 + 1 + 18*p**2 - 11*p**2).\nAnswer: 4*p**5 + 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81 = -2*o + 77. Which is the nearest to -0.1?  (a) -15  (b) o  (c) 3  (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3\/5*p**4 - 6\/5*p**3 + 0*p**2 - 3\/5 + 6\/5*p = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(-2)\/5*100\/8. Suppose -5*g = -0*v - 3*v + 92, 81 = -4*g - 5*v. Which is smaller: r or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-11 - (-8 - 8))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -4*r**2 + 64*r - 11952. Let z(i) = -7*i**2 - 129*i + 23903. Let q(o) = 5*p(o) + 2*z(o). What is the derivative of q(f) wrt f?\nAnswer: -68*f + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s, 2 d, and 1 j when four letters picked without replacement from {d: 2, i: 1, q: 1, s: 5, v: 1, j: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 15797820 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 88 and 3916?\nAnswer: 7832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2061*k - 17376 = -33323 - 23212 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (299 - 4652 + 524 + 1646 + (2 + 0 - 1)*(5 + 2 - 3))*(0 + 0 + 2*w**4) in the form q*w**2 + v*w**3 + n*w**4 + d + f*w and give n.\nAnswer: -4358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 90*d - 5309. Determine m(59).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1\/(-3) + 19\/3. Suppose -l = q*r - r - 19, -r = -5*l - 9. Let j(u) = -u**2 - 8*u - 8. Let t be j(-6). Sort t, l, -4.\nAnswer: -4, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-3 + ((sqrt(192) - sqrt(192)*3)\/sqrt(4) + sqrt(48))\/(sqrt(4) + sqrt(4)*-4*-4) + -4).\nAnswer: -28 - 8*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 38383 and 131.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-269 - -275) + (-1 - 5) - -15\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -266707 = -7843*i + 105291 + 114268 for i.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -4*i**2. Let f(u) = 3*u - 11. Determine p(f(q)).\nAnswer: -36*q**2 + 264*q - 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -11*f**2 - 4*f**2 + 9*f**2. What is d(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*d + d + 4 + 0*d)*(2*d**2 + 0*d**2 + d**2) to the form n*d**2 + x*d**3 + b*d + j and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.5041075 minutes to hours.\nAnswer: 0.041735125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -203136 - -0.026.\nAnswer: -203135.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -2800 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2320)\/(-55) + (-6)\/33?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -849*a**5 - 262*a**3 + 1279249*a + 12 wrt a?\nAnswer: -16980*a**3 - 1572*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**3 + 3*l**2 + 2*l + 2. Let w be r(-3). Let j = 128.4 + -133.4. What is the closest to 1 in w, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 3:38 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -802 - -825. Suppose -s*u + 376 = -544. What is the least common multiple of 17 and u?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2197 + 5\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, a: 2, b: 1, z: 1, v: 1}. What is prob of sequence jv?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the third derivative of -z**6\/80 - z**5\/20 + 3*z**4\/16 - 15*z**2. Solve l(q) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*p**3 + 0*p**3 + p**3)*(-6*p + 0*p + 13 + 3*p) as n + o*p**4 + v*p**3 + q*p**2 + f*p and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 96215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9372 + -9371.821. Put l, -2\/7, -5, 8 in ascending order.\nAnswer: -5, -2\/7, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**3 - 11*n**2 + 5*n - 9. Let x be h(-11). Are -64 and x equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 17 = 5*r, 0 = r + 3*r - 3*i - 14. Suppose -20 = -r*w + 2*h, -3*h + 15 = -0*h. Suppose -4*d + 2*o = -14, 1 = o - 0. Which is bigger: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1 - -4 - (4\/(-1) - 1). Calculate the remainder when 56 - v - 2\/4*-4 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence urou when four letters picked without replacement from orsuuo?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 34.2  (b) -1\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4997 and 19208.\nAnswer: 14211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of -55*u**6\/3 - 32*u**3\/3 + 43*u + 3374. What is the third derivative of g(l) wrt l?\nAnswer: -6600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b**3 + b**3 - 6*b**3.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 + 1050512875?\nAnswer: 1050512848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66 is divided by 64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1998.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/50)\/(4293\/(-35775)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 7*o**2 + 13*o + 12. Let k be n(-8). What is the tens digit of ((-15)\/6)\/(6\/k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u, given that 4\/3*u**2 - 14\/9*u + 2\/9 = 0.\nAnswer: 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -3*v**3 + 4*v**2 + v**3 - 17*v + 22 + 13*v**2 + 3*v**3. Calculate the least common multiple of h(-18) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of -2*s**3\/3 + 13*s**2\/2 + 46*s - 8. Differentiate o(i) with respect to i.\nAnswer: -4*i + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/10)\/((66\/264)\/((-60)\/(-4))).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 2 = -o, 2*a - 3 = a + o. Let b = a + 1. Suppose -s + 0 + 3 = b. Solve -s*c - 3 = -6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 277125 is divided by 55384?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/14 - 1848\/13671*27) + 4\/1.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the third derivative of -z**6\/120 - z**5\/15 - z**4\/24 - 5*z**3\/6 - 3*z**2. Let u be x(-4). Is (2\/(-2))\/(u\/37) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 141, 151, 161, 171, 181, 191?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2511 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 218*m = 183*m + 210 + 9240. What is the greatest common factor of 3618 and m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 - 6*w**3 + 5 - 4 as l + g*w + i*w**3 + k*w**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -152875.703 to the nearest 1000.\nAnswer: -153000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 156, 1639, 4482, 8685, 14248, 21171, 29454?\nAnswer: 39097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0\/(-2)*1)\/1. Suppose -5*k = -x + 1949, -3*k - 9745 = -5*x - m*k. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129474721 times 0.2?\nAnswer: 25894944.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 92003\/5258 - -6\/2629. Let f(o) be the first derivative of 20*o - 49 + t*o**2. Differentiate f(n) wrt n.\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1, 4\/1481, 4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/19)*t)**(-44)\/(t*t\/(t**(1\/13)\/t)*(t**(1\/12)\/t*t)\/t) assuming t is positive.\nAnswer: t**(-122635\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 - 0. Let h be (-10)\/((-1)\/(-1) - q). Let n = 17.38 + -17.18. What is the biggest value in h, n, -9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8435?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**2 - 7*p + 19. Calculate z(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (798\/(-3325))\/((-3)\/(-10)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288) - 2*sqrt(288)) + -1 + (sqrt(2) + 1 - sqrt(2)).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -102289 + -97231. What is x rounded to the nearest 10000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 2 l when four letters picked without replacement from lflllfl.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -108 in -0.1, -2, 1, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 543.459 centimeters to meters.\nAnswer: 5.43459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 19, 3, 0.046?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**2\/5 - 32174*x + 160865.\nAnswer: (x - 160865)*(x - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*f = 17*f + 2*b + 4, 0 = f + 4*b + 5 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2535 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -3055.\nAnswer: 6\/3055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(640) - (sqrt(640)*-2 - sqrt(640))) + sqrt(640))\/(-6*2*sqrt(5)).\nAnswer: -10*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 56 = 4*u, -2*r = -5*r - 2*u + 34. Let s = r + 50. Let t = 2 - -14. What is the remainder when s is divided by t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 614665, 614662, 614669, 614692, 614737, 614810, 614917?\n\"Answer: v**3 - v**2 - 7*v + 614672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-36)\/(42\/(-7)))\/(8\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 9*r - 4. Let j(i) = -9*i + 5. What is 4*j(d) + 5*t(d)?\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 3*s - 4216*s**2 - 19346 - 2*s**3 - 3*s + 10651 wrt s?\nAnswer: -6*s**2 - 8432*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 497764007.\nAnswer: 13, 38289539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 24252 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 31834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:38 PM and 5:03 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -53, 487, -9 in ascending order.\nAnswer: -53, -9, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*m - 4*h + 3, 0 = 4*h + 8. Let y be m + (2 + 3 - 1\/(-1)). Suppose -y*s - 252 + 702 = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3 + 33 - 37*q + 32 with respect to q.\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 101 (base 3) to base 11\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8080 - 1421. Suppose k = -4*b + y, -b + 4*k + 1589 = -97. List the prime factors of b.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 2*p. Let b(f) = -3*f. Let h(u) = 11*u. Let s(t) = 9*b(t) + 2*h(t). What is s(q(d))?\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (3 - -1)*9\/6. Suppose -3*s + 6 = -6. Let n(i) = i**3 - 3*i**2 - 3*i. Let w be n(s). Calculate the greatest common factor of q and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 6, l: 4}. What is prob of sequence ppl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1324, 2649, 3974?\n\"Answer: 1325*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of k**4\/4 - k**3\/3 - 454*k - 4. Let p(h) = -13*h**2 + 9*h. Determine -18*g(d) - 4*p(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 49 + -21. Calculate the highest common factor of c and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 19 = 2*m, -6*v + 11*v - m + 23 = 0. Sort v, 78, 5 in descending order.\nAnswer: 78, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*h**2 + 5 - 5.\nAnswer: -13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 305 is divided by (40\/(-120))\/(1 + 43\/(-42)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 141263 (base 9) to base 2\nAnswer: 10101000011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - h = -13, 3*m = -0*m - 4*h + 13. Suppose 2*o - 424 = 2*b, m*o - b - 595 = 35. Suppose 0 = -3*r + o - 8. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.0415*-0.2.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) be the second derivative of -c**4\/4 + 3*c**3\/2 + 3*c**2\/2 + c. Suppose 40*x - 20 = 44*x. Let m(t) = -4*t**2 + 13*t + 4. Give x*m(a) + 7*r(a).\nAnswer: -a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/15*(-2)\/(-8)*-6?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t - 15*t = 11. List the prime factors of 1019\/7 + -12*t\/(-231).\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*z - 3*b, b + 2*b = -3*z + 3. Suppose z = h - 5*h + 8. Let q(d) = -d**3 + 2*d**2 - d. Determine q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 7:34 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -34, -73, -126, -199, -298?\nAnswer: -429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.19223769 rounded to four decimal places?\nAnswer: 0.1922","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-50)\/6 - 4\/6. Suppose 0 = -63*w + 70*w + 77. Which is greater: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/14 + (-30)\/56. Let t be ((-15260)\/1274 - -12)\/((-2)\/(-26)). Which is the closest to -2?  (a) v  (b) 0.05  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -11170 - -11290. What is the least common multiple of t and 56?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 226\/10 + 602\/430. Solve o = -15*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-41)\/615*1545\/(-6)*(-1)\/(1\/(-6))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w. Let g(h) = -3323*h. Calculate g(y(d)).\nAnswer: -9969*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -15 + 33 + (-29 - -5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the second derivative of -653*m**6\/10 + 173*m**2 - m - 437. What is the first derivative of v(n) wrt n?\nAnswer: -7836*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j - 17 = -3*i, -5*i + 10*i - 26 = -j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -30 - -64. Calculate the remainder when 169 is divided by y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (22\/33)\/(16\/12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1\/(-1))\/(3\/(-9)). Let c be (3 + -1)*(-19)\/(-2). Suppose 5*u = 3*y - 35 - 22, -p*u - c = -y. What is the remainder when y is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.2 + 0.6. What is the third biggest value in -3, 3, f?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -51517990 to the nearest ten thousand.\nAnswer: -51520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 36*k**3 + 6*k**2 + 147*k + 145. Give i(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 621 - 621.5. Which is the nearest to -2\/9?  (a) r  (b) 2\/7  (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -143*g = 51*g + 776 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 + -16. Solve 0 = -r*u - 6 - 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -983.3 - -1027. What is p rounded to zero dps?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 - -16. Suppose -28 = -h + l. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -12316\nAnswer: -24632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 6*o**2 + 16\/3 + 76\/3*o = 0.\nAnswer: -4, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 117*w + 51 = 120*w. Let o(k) = -8*k. Let y(r) = -23*r. Let v(c) = w*o(c) - 6*y(c). Let h(a) = -93*a**2. Calculate h(v(s)).\nAnswer: -372*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 83.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the third derivative of i**5\/80 + 17*i**4\/16 + 26*i**3 - i**2 - 36*i + 4. Solve c(w) = 0.\nAnswer: -26, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -95, -82, -61, -32, 5, 50, 103?\nAnswer: 164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = 2*w**2 - 133*w - 98. Give v(66).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ciiciiiciiiiiiii. Give prob of picking 2 i and 2 c.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*p - 4 + 9. Let c = -154 - -156. Determine q so that 2 - p + 10*q + 4*q**2 - c*q + 3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -i. Suppose 3*j - 26017 = -n, 4*j + 5*n - 2460 - 32233 = i. Suppose -t + j - 474 = y, 0 = 5*t + 10. What is y rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen sixths of a hour in minutes?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 35.8 - 27. Let c = x - 9. Let o be -5 - (0 - 0\/1). Put -0.5, c, o in descending order.\nAnswer: c, -0.5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by -2144730?\nAnswer: 1\/2144730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.209563 and 136?\nAnswer: -28.500568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.04571 - -4228.95429. Let c = z + -4228.97639. What is c rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 3024.55771 from -0.3.\nAnswer: -3024.85771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - d + 4513 = 0, 0 = 2*f - 5*d - 1552 - 677. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -27\/6980 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32534 (base 7) to base 8.\nAnswer: 17737","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 6840 rounded to the nearest one hundred?\nAnswer: 6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/3 + 15\/15. Which is the nearest to w?  (a) -1\/2  (b) -3  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 84*p. Let g(c) = -7*c. Determine u(g(q)).\nAnswer: -588*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 4*w + 24, 3*j = 5*w + 8 + 18. Let o(d) = -2*d + d**3 + 7*d**j + 6*d - d**2. Let f be o(-5). Solve -3*n = 5*k + 32, 13 = -2*n - f*k - 15 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(3\/16)\/s**(1\/7)*(s\/s**(-2\/33)*s)\/((s*s\/(s*s\/(s**(1\/8)\/s*s)*s*s)*s)\/s) assuming s is positive.\nAnswer: s**(14711\/3696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 0.058  (b) 0.4  (c) 6\/29  (d) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 13251 (base 6) to base 13\nAnswer: c16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**(-13)*z)\/z**13)\/((z\/((z\/z**(-3\/5))\/z))\/(z\/(z*z**9*z*z))) assuming z is positive.\nAnswer: z**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 13 = -w + 3*v, 3*v = -9. Let u(x) = -2*x - 12*x**3 + 5*x**3 + x + 5 - 4. Is u(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 4.32562nm?\nAnswer: 0.00000000000432562","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.79 + -0.79. Let w(k) = -k - 8. Let d be w(-8). Which is the closest to d?  (a) z  (b) 0.1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 11, 109606, 0 in descending order.\nAnswer: 109606, 11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 84579 by -2563.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the first derivative of 0*i - 53*i**3 + 72\/5*i**5 + 0*i**2 + 0*i**4 + 203 + 2\/7*i**7 + 0*i**6. Find the third derivative of a(r) wrt r.\nAnswer: 240*r**3 + 1728*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-36)\/(-15))\/(140\/(-75) - -2). Suppose -2*c + 18 = -u. Solve 23 = -3*g - 4*m, -4*g - 5*m = 47 - c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o. Let a(x) = -3*x - 250. Give a(v(w)).\nAnswer: 3*w - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13753462 is divided by 128537.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*s - 76*s - 176 = 144 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -10.49?  (a) -2  (b) 0  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -55778*u**2\/9 + 668*u\/9 - 2\/9.\nAnswer: -2*(167*u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 46\/(-14)*7\/(-10). Which is greater: h or 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = 5*x - 1. Let f be r(5). Suppose -f = 2*b - 5*b. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -2*f - x, f + 7*x - 6*x - 4 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/18)\/(((-275)\/(-22))\/(-25)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14436 - -21653. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (20 - 15) + (-1 - (1 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 429 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -9 in 0.1, 22.1, -14, 3?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 315872480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -18, 0.07, -3\/5, 4.8, 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51*r - 33*r = 5868. Let o = -191 + r. What is the greatest common factor of o and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qd when two letters picked without replacement from rgvrvqvqvvrrdbbqvg?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -208611.804 rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 11111011 (base 3) to base 4\nAnswer: 303013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -32  (b) 1  (c) 4  (d) 2  (e) 144  (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -13203 + -14400?\nAnswer: -32003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 3) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-868)\/(-306) - (2 + (-1 - -2)). Let n = y - 1\/17. Let v = 0 - 0. Are v and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -16081067?\nAnswer: -8040533.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 629 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -161 = 3*d - 4*z + 179, 0 = 3*z - 3. Let y be 2*(-20)\/8*d\/(-35). Let f = 30 + -44. Which is smaller: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 37 + 1 - (71 - 45)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 17562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -29\/1855 and 10\/8071.\nAnswer: 2138815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5\/4, 0.5, -39, -1\/14 in increasing order.\nAnswer: -39, -5\/4, -1\/14, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-2)\/6)\/(7\/42). Let w = -611 - -611. Sort 3, w, -1, g in decreasing order.\nAnswer: 3, w, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:16 AM and 7:28 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8863.32 micrograms in nanograms?\nAnswer: 8863320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 0 = 16. Let b = z + 12. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2.22, -2, -3, 1 in descending order.\nAnswer: 2.22, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and -28?\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/4 - 13135*x**2 - 173078572*x - 14446067664.\nAnswer: -(x + 84)*(x + 26228)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = 5*o + 19, p + 3 = -2*p - 2*o. Let x(d) = 40*d**3 + 2*d - 2. Let t be x(p). What is the derivative of -82 + 25 - t*g + 16 wrt g?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2\/2 - 312*a - 16224.\nAnswer: -3*(a + 104)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 102668?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + 4 + (-4*(sqrt(2) + 2))**2.\nAnswer: 64*sqrt(2) + 102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mhsh when four letters picked without replacement from {m: 6, h: 3, n: 1, s: 2}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 14*l**2 - 202*l - 199. Give t(18).\nAnswer: 701","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2082408602 a multiple of 94?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2058, 2099, 2140, 2181?\nAnswer: 2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 29205851567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26.3*-21.1033.\nAnswer: -555.01679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 15540, 15552, 15572, 15600, 15636, 15680?\n\"Answer: 4*k**2 + 15536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*g**3 + g**3 + 2*g**3)*(-2*g**2 - g**2 + 2*g**2) - 4*g**5 + g**5 - 434*g**3 + 441*g**3.\nAnswer: -g**5 + 7*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7921604, -7921609, -7921616, -7921625, -7921636?\nAnswer: -7921649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-2)*2\/(28\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -j**3 - 4*j**2 + 4*j - 5. Let p be n(-5). Suppose -26*b = -20*b - 18. Let v be b - (-3 + (1 - p)). Solve -3*a = -3*u + 26 - 11, -v*u + a = -21 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1476 and 193068?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 886012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30*v + 33*v = -4*y + 13, -v + y = -2*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 1.9. Let w be (-2 + 4\/(-8))*36\/495. Which is the second smallest value?  (a) 6\/7  (b) w  (c) u  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (1\/(-2))\/(3\/2). Let d be ((-1)\/(-9))\/((-1)\/2). What is the nearest to 1 in d, k, -1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 1032\/225515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.25 + 0.25. Which is the biggest value?  (a) -0.06  (b) 0.3  (c) -1\/5  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0*c - 9*c + 14*c)*(-3 + 3*c + 3).\nAnswer: 15*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 4603.458\nAnswer: 2301.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71071452 to the nearest integer?\nAnswer: 8430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21 and 287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*u + 6*u + 4*u)*(-2934 + 2797 + 3882 + 2498 + 357 + 6355).\nAnswer: 64775*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -20*s. Let t(q) be the third derivative of -q**4\/4 + q**2 + 163*q. Determine t(w(h)).\nAnswer: 120*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32681 is divided by 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 265 and 8835895?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 50 - 15 = 0. Let t = 10 - 4. What is the smallest common multiple of t and (-14)\/h - (-62)\/5?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*d + 3*d + 1120. Calculate the highest common factor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 4*f**2 - 2*f + 3. Let g(r) be the third derivative of 2*r**5\/15 - r**4\/6 + 7*r**3\/6 - r**2 - 145. What is -2*g(d) + 5*o(d)?\nAnswer: 4*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.03933 > -46899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -114443 + 5.\nAnswer: -114438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12855 - 12877. What is the second biggest value in -0.03, 1, r, -1\/4, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-10)\/d)\/d)\/d*d**(1\/2))\/(d*d**(-2\/37)*d*d**4) assuming d is positive.\nAnswer: d**(-1365\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 83148 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1503 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggga when four letters picked without replacement from varragvbgbagr?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -3*s - 1. Let o = -1 + s. Suppose o*r - 7*r = -32. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.231 - -109.769. Let o = -107 + k. Let d = 142\/5 - 28. Put d, 0.1, o in ascending order.\nAnswer: 0.1, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5149 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:00 AM and 3:14 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 204069636 divided by 6.\nAnswer: 34011606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of -96\/7*y**2 - 5*y - 24\/7*y**3 - 3\/7*y**4 - 7 - 3\/140*y**5. Let l(w) be the first derivative of d(w). Factor l(p).\nAnswer: -3*(p + 4)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29774999.\nAnswer: 59, 504661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*z**2 - 8*z + 4.\nAnswer: 4*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17375.06 + 17906. Let h = w + -526. What is h rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -90133, -90438, -90945, -91654?\nAnswer: -92565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3)\/6)\/(2\/8). Let f be a\/(-4) + 18\/4. Let i(r) = 2*r - 1 + r**2 - 2*r - 5*r. What is i(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/8 - 92\/16. What is the remainder when (-52 - -1)*4\/y is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:36 AM and 8:17 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out -42.95 * -9196.\nAnswer: 394968.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21877 = o + 4*c - 21898, -4*o - 5*c + 40 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-28)\/18 + 7\/(105\/20)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*k*y**4 - 375*k - 3*y**4 + 5*y wrt y?\nAnswer: 24*k*y**3 - 12*y**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10 + 7. Let p = n + 3.4. Let q = 5\/7 + -3\/14. Which is the second smallest value?  (a) p  (b) q  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -58 - -233\/4. Suppose 5*o + q - 2*q - 16 = 0, 4*o + 2*q = 10. Let l be (-192)\/80 - (-2)\/1. What is the nearest to l in o, k, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59070*o - 338 = 59044*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 209017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 4035.969354 rounded to 1 decimal place?\nAnswer: 4036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -5*m**3 + 41*m**2 - 6*m - 6. Let s(t) = t**3 - 9*t**2 + t + 1. Let c(r) = -4*s(r) - w(r). What is c(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 405\/63 - 250346\/39130\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**2 - 7*y - 3. Determine b(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11 + 11. Let l(p) = -5*p - 22. Let q be l(-4). Let s be 26 - (-1)\/q*(5 - 1). Is s less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 20 and 12014.\nAnswer: 120140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -5*q**2 + 16*q - 14. Let d(o) = -2*o**2 + o - 2. Give 6*d(f) - y(f).\nAnswer: -7*f**2 - 10*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/5 in 0.5, 53, -2, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -252*x + 40 - 16 - 26 to y*x + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/3 + 2738*a\/3 - 912.\nAnswer: -2*(a - 1368)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -194\/101  (b) -1  (c) 122\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 1)*(-3*j + 5*j - 4*j)*((0 - 3 + 2)*(-j + 0*j + 0*j) + j - 16 - 6 - 4)*(-3 - 4*j + 3) in the form z*j + o*j**3 + u + b*j**2 and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 1215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + 8*h)*(0 - 4 + 24)*(-3*h**3 + 3*h**3 + 2*h**3).\nAnswer: 320*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jvg when three letters picked without replacement from {g: 1, s: 2, j: 1, x: 2, f: 2, v: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) 0.04  (c) 0.3  (d) -8  (e) -4  (f) -0.25\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 22  (b) 1\/2  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/6 - 18\/(-4). Let r = g - 3. Solve 2*h - 3*h = -r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161 - 167 - (-7 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4458412 + -6338412. What is v rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 2*c**2 + 74*c + 322. Give v(-32).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xl when two letters picked without replacement from ixqiiqnqnlixqixnznx?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1264\/111 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of 25*r**4\/12 - r**3\/2 - 6*r + 99. Let y(k) = 75*k**2 - 10*k. What is -10*l(f) + 3*y(f)?\nAnswer: -25*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 479 or -24672?\nAnswer: 479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together 9057092360043 and 71.\nAnswer: 9057092360114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 AM and 7:41 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/(c**9\/c*c*c)*c))\/(c\/(((c*c**(2\/27))\/c)\/c)*c) assuming c is positive.\nAnswer: c**(164\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 4*z + 5. Let y(p) be the third derivative of -p**4\/12 + p**3\/3 + 2*p**2. Let f be y(z). Solve n = f*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of -3*s**5\/20 - s**4\/4 + 8*s**2. Find the second derivative of y(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(133)*-6*2)\/((-6*-2*sqrt(77) - sqrt(77))\/sqrt(11)).\nAnswer: -24*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8989073*d**2 - 13*d - 225933?\nAnswer: -17978146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80 is divided by 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 6 = t, -g - 5*t = 12. Let j(h) = 9*h**2 - 2*h - 1. Let c be j(g). Let a be 24\/8 + c\/(-26). Which is greater: 0 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -11\/117 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 101504\/11 - 710418\/77. Factor p*m**2 - 10\/7 + 2\/7*m - 2\/7*m**3.\nAnswer: -2*(m - 5)*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*k + 1965 = -22635. What is the greatest common divisor of 3180 and k?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*w**6 - 36*w**4 + 103*w**2 + 2*w.\nAnswer: 360*w**3 - 864*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -1\/12  (b) 0.4  (c) -26  (d) 0.052\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*v**2 + 0*v**2 - v**2)*(4*v - 6*v + 0*v)*(-3 + 17 - 5)*(-7 + 4 + 1) to f + m*v**3 + y*v**2 + u*v and give m.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-31330 - (0 + 3))\/(-1). Let y = 1503907\/48 - d. Calculate the common denominator of -47\/3 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 42.50409 + -28.49859024. Let j = 13.0055 - f. Let h = j - -1. What is h rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -544 + 544 + 191*m - 268*m.\nAnswer: -77*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 224359907.\nAnswer: 224359907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of -28\/3*z**3 + 0*z - 4*z**5 - 35 + 2\/3*z**6 + 4*z**2 + 9*z**4. Factor a(r).\nAnswer: 4*r*(r - 2)*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.2 or -2050?\nAnswer: -2050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) be the second derivative of 1495*w**5\/4 - w**4\/4 + 207*w**3 + w**2\/2 - 540*w + 4. Find the third derivative of x(v) wrt v.\nAnswer: 44850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 81, -8, 3, 4, 5, 304 in increasing order.\nAnswer: -8, 3, 4, 5, 81, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 81 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 163532042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 91 + -30. Calculate the remainder when 301 is divided by b.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.02 and 9.0111.\nAnswer: 0.180222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -4*n**2 + 744*n + 32827. What is r(-37)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 4*c**2 - c - 3. Let n(r) = r**3 + r**2 + r - 1. Let o(x) = m(x) - 2*n(x). Let q(y) = -y**3 - y - 1. Determine -o(k) + 3*q(k).\nAnswer: -k**3 - 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 = -23*p + 121 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12221 (base 3) to base 4.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -13*i**3 - 240030*i**2 - 424049*i + 5.\nAnswer: -78*i - 480060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 2, 156 in ascending order.\nAnswer: -1\/3, 2, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12195777 is divided by 1039?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 2 = -3*a. Suppose 0 = 3*n + a + 1. Which is greater: -1\/3 or n?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l = g + 2*l + 3, 4*g - 27 = 5*l. Suppose g*i - 9 = 6. Suppose p + 32 = i*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2624400 a multiple of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -27 + 26 + -51 + 58\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes before 3:48 AM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7820465 divided by -5\nAnswer: 1564093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -4990885*f**3 + 4990885*f**3 - 3636*f**4 + (0*f**4 - 3*f**4 + f**4)*(2 + 1 - 4) as m*f**4 + u*f + r*f**3 + w + s*f**2 and give m.\nAnswer: -3634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that 92*i**2\/7 + 80775*i\/7 - 878\/7 = 0.\nAnswer: -878, 1\/92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -5. What is the second derivative of -3*j + p*j**2 + 0 + 2 - 2 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2844, -404, 3654, 9324, 16600, 25476?\nAnswer: 35946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(143)*-3 + sqrt(143)))\/sqrt(11).\nAnswer: 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -34*c + 6*c + 78*c - 6*c + 3*c + c + (-c - 2*c + 2*c)*(3 - 1 + 0) - 4*c - c + 3*c + (-3*c + 2*c + 0*c)*(4 - 6 + 4) + 3*c + 3*c + 0*c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/1*(3652\/(-462))\/83.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the third derivative of i**6\/120 - 17*i**5\/60 + 11*i**4\/12 - 19*i**3\/6 + 4*i**2. Is b(16) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -3*n - 4. Let q(y) = -y - 1. Suppose -5*a - 72 + 0 = -4*t, -a + 5*t = 27. Give a*q(g) + 3*h(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001799 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -d + 3*r, 2*r + 17 = 5*d - 1. Let i(a) = -4*a + d*a + 0*a + 4*a. Let z(f) be the first derivative of f**3\/3 + 1. Determine i(z(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 17643902951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = 2*h + 12. Which is the nearest to -0.1?  (a) -0.2  (b) -0.4  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 73*q - 63. Give r(2).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of l**7\/126 + 19*l**6\/90 + 13*l**5\/6 + 175*l**4\/18 + 125*l**3\/18 - 625*l**2\/6 + 18*l. Factor i(s).\nAnswer: (s - 1)*(s + 5)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 70.8124 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4660141?\nAnswer: 1163, 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5498.96 rounded to the nearest one hundred?\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 69*g + 180 = 33*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 13*f**3 - 4*f**2 + f + 2. Suppose -5*k + 2*a + 44 = -11, 2*a = k - 19. Let p be (9\/(-6))\/(k\/(-12)). List the prime factors of t(p).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*j - 1528816 = -71*j - 124*j. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n. Let k be f(0). Let d = -14 - -17. Suppose k*v + 117 = d*v. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iir when three letters picked without replacement from {r: 3, q: 1, i: 2, h: 6}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2705532b - 2?\nAnswer: 27055329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 15.34176 nanoseconds?\nAnswer: 0.00001534176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.3 + -4.3. Let u be 0*-2*((-3)\/(-6) + 0). Let t be u\/(-6) + 2\/(-5). Which is smaller: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w - w + 8 = -2*c, -3*w - 4*c = 2. Let v be 4\/(16\/20) - 6\/w. Suppose -5*d + v*r + 1973 = -2*r, -4*d + 1582 = -2*r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.04713 and -4846402.\nAnswer: -4846402.04713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -215 in -1, 9447, 8\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*f + 4. Suppose 43 = 2*v - f. Suppose -2*y + 30 = 4*k, -5*k = -y - 2 - 11. Calculate the remainder when v is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-3\/5)\/(f*f*f\/(f\/((f*f**(7\/4)\/f)\/f*f))))\/(f\/(f\/f**7)*f\/((f**(-2\/5)*f)\/f)) assuming f is positive.\nAnswer: f**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes before 10:27 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**2 - 16*b + 14. What is u(14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-8)\/(-4))\/(0 + 2). Let b = p + 1. Sort 5, -1, b in descending order.\nAnswer: 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 6906*o**2 - 5*o - 3. Is q(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -965, 33, -0.5 in decreasing order.\nAnswer: 33, -0.5, -965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(11) - (sqrt(55)\/(sqrt(5)*-3) + sqrt(11)) - (sqrt(88)*1)\/sqrt(8))**2 - -2*(sqrt(396) + 6*(sqrt(396) - (sqrt(396)*2 - sqrt(396))) - sqrt(396))**2.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12010243 (base 5) to base 14.\nAnswer: 2c185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - ((-8 - -7) + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, -1\/14, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 43\/1510 and -61\/626.\nAnswer: 472630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -5360*u. Let r(i) = -522*i**2. What is y(r(o))?\nAnswer: 2797920*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 38651190?\nAnswer: 2, 3, 5, 761, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6155 is divided by 61?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 43  (b) 0  (c) -25  (d) 88  (e) -5  (f) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11 + (-3 - -11) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -81 - -74. Let g(d) = -d**3 - 6*d**2 - 13*d + 6. List the prime factors of g(k).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -31 - 86*f + 46*f + 39*f to p*f + z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -q**2 + 229*q - 900.\nAnswer: -(q - 225)*(q - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 43*j - 4157. Calculate x(95).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 31 or -50?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2589\/8 - 324. Let u be 22\/((-2464)\/(-84)) + (-3)\/(-24)*-38. Put q, -2, u, 6 in ascending order.\nAnswer: u, -2, q, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((8\/(-16))\/(1\/1))\/(41\/492).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (6 + -10 - -7) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 19163558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*h + 617 + 752 - 269 = 0. Which is greater: -52 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4*i - 4*s - 58 = 0, 3*s = -9. Let m = 69 + -194. Let z = m + 131. Calculate the remainder when i is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/(-6) + 20\/(-44))*3. Sort -1, 2, l in descending order.\nAnswer: 2, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14295 = -5*x + 5*s, 0 = 5*x + s - 0*s - 14295. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - 26*i**2 - 22*i + 68. Let t be r(-25). Sort -9, -4, -2, t.\nAnswer: -9, t, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98 = -4*k - 14. Let b(d) = -12*d - 1. What is the remainder when k is divided by b(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 82769.5965 to the nearest ten.\nAnswer: 82770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 7 and 0.052.\nAnswer: 0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3120.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/27 - 92\/72. Let h be 2\/(-24) - (-2)\/6. What is the smallest value in c, h, -5\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*sqrt(7623)*-6)\/((-1*sqrt(81))\/sqrt(9) + sqrt(9) + (sqrt(180)\/sqrt(4))\/sqrt(5)).\nAnswer: -66*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o**2 + 10*o + 8. Let d be 3 + 4\/((-8)\/18). List the prime factors of b(d).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 3 n when four letters picked without replacement from {h: 2, n: 5, j: 3, d: 9}.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*z - 3*z**2 - 3*z)*(-z**2 + z**2 - z**2) + (z**2 - 2*z**2 + 3*z**2)*(-z**2 + 3*z**2 - z**2) + z**4 - 2*z**4 - 2*z**4.\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 784 and 40.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5106779 + -2?\nAnswer: 5106777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 12, m: 3}. What is prob of sequence um?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6 * -7.01.\nAnswer: -42.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -33 + 33.08. Let o = -0.02 - k. Sort 0, o, -1\/4 in ascending order.\nAnswer: -1\/4, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 97 and 1843?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3455196900?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 200 and 900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/sqrt(3) + sqrt(12))\/sqrt(6) + 5.\nAnswer: 2*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14 + -3. Let k = p - -29. Suppose 3*w - 21 = k. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of b*k**2*m**2 - 29*b*k*m**2 + 72*b*k - 33518*k**2*m**2 wrt k?\nAnswer: 2*b*m**2 - 67036*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 169980 - 169979.9999907751. What is x rounded to seven dps?\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and 19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyyykyyyyyyyvyyyy. What is prob of picking 1 v and 2 y?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 165\/198*(-6)\/2260. Let o = 459\/3164 + s. What is the third smallest value in o, -2, 13, -17\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(600) + sqrt(600))*1)\/(sqrt(15)\/(sqrt(10)\/(3*sqrt(2)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -2*b**2 - 29*b - 35. Let x(k) = -k**3 - 6*k**2 + 6*k - 3. What is the remainder when x(-7) is divided by s(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0 and 268451942.\nAnswer: 268451942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -4478698*h + 17914788. Calculate r(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55 = 52*u + 54*u + 369 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the second derivative of 7*z**3\/2 + 149*z**2\/2 + z - 1. Calculate the smallest common multiple of 44 and o(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 288 - 228 = 0 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/78 - 1010\/(-26). Let q = -37 + g. Suppose 1\/2*p**3 + 0*p + 0 - q*p**2 = 0. What is p?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3211265 (base 8) to base 16\nAnswer: -d12b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.05 - 328188226.\nAnswer: -328188225.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3835 + 3835. Which is greater: o or 1506?\nAnswer: 1506","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g - 15330 = -20*g. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4414 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-228842)\/3)\/(2 - (-35)\/(-15)). Suppose -62158 = 3*h + n. What is h rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 4*x - 5*k = -13, -3*k + 45 = 5*x. Which is the second biggest value?  (a) x  (b) 0.4  (c) 5  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -7*g**2 + g**3 + 2 + 1 - 7. Suppose 15*y + 2*z + 40 = 19*y, -2 = 4*y + 5*z. Calculate m(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-9)\/252 + 2\/7. Let f = 0 - 0. Which is the third biggest value?  (a) f  (b) z  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.21*0.0091\nAnswer: 0.011011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -11703453.49 to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -1 - -53 - (-337 - -354).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8023 is divided by 206?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -25098 + 25097.9971374. What is i rounded to five decimal places?\nAnswer: -0.00286","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 2*o + 4. Let a(q) = -q**2 - 20*q + 12. Let g be a(-20). What is the lowest common multiple of o and (g\/48)\/(0 + 2\/88)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2808 and 972.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o**4 + 723232*o**3 - 4339440*o**2 + 8678912*o - 5785952 = 0.\nAnswer: -361622, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b\/(b*b**(-4)))\/b**27)\/(b*b\/(b\/(b*b*b**(1\/22)*b))*(b\/(b*b*b**(3\/14)))\/b) assuming b is positive.\nAnswer: b**(-1912\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2704224 to the nearest integer?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -75, -77, -79, -81, -83, -85?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 972126744 to the power of 1\/4, to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -113 - 20432?\nAnswer: -21100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 104670 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 + 3 + (-3)\/(-5))*(-11 - -6). Sort 0.5, s, -6, -5 in descending order.\nAnswer: 0.5, -5, -6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**5*o)\/o)\/o**(-1))\/(o\/o**7*o*o*o**(-1\/5)*o) assuming o is positive.\nAnswer: o**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) be the third derivative of 0*p**3 + 1\/105*p**8 - 1\/50*p**6 + 0*p + 0 - 11*p**2 - 2\/75*p**5 + 8\/525*p**7 + 1\/30*p**4. Factor c(u).\nAnswer: 4*u*(u + 1)**2*(2*u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7, -90, -279, -554, -909?\nAnswer: -1338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 332666015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 160 = 7*i. Let d(s) = 4*s + 4*s - 25 + i. Let p(g) = 9*g + 8. Determine -6*d(y) + 5*p(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-5)\/h)\/h)\/(h**(-2\/3)*h)*(h**(1\/2)*h)\/h*h**(1\/2) assuming h is positive.\nAnswer: h**(-19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (833\/(-1309)*(-6)\/14)\/(18\/(-30)).\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 1067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 7686533 and 578?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 5*j**2 - 674*j + 2661. Calculate m(4).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - 7) + -6 + -11 + 0\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 9 = -v, 4*u = -5*v - 26 + 71. Suppose -7*l + v*l - 10 = 0. Let a = l + -3. Is a less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 24376672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 614 divide 2674874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 3) + -4 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 4 - 4)*(11*a - 2*a - a)*(2 - 5 + 4)*(1 - 2*a - 1) in the form s + d*a**2 + x*a and give d.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2920, 5864, 8824, 11806, 14816, 17860, 20944?\n\"Answer: i**3 + 2*i**2 + 2931*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-3 + -1)) + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -3*i - 7. Let p(b) = 11*b - 107. Determine -6*f(w) + p(w).\nAnswer: 29*w - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2878889380 to the nearest integer?\nAnswer: 53655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = 12*f - 25. Suppose 7*o - 11*o = -f*o. Is 25 a factor of 148 - ((0 - o) + -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 78570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(176) + 0 - (sqrt(176) - ((sqrt(176) + -1 + sqrt(176))*5 - sqrt(176)))) + -2.\nAnswer: -8 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 17*t**2 - 71*t + 27. What is the hundreds digit of q(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) be the first derivative of h**4\/4 - h**3 - h**2\/2 + 2*h + 1. Let k(b) = -2 - 3*b + 3*b - b**2 + 4*b + 2*b. Let j be k(5). Determine u(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4279\/4710 + -4\/471. What is the closest to 2\/7 in 0.1, 4, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-5)\/w)\/(w*w**(-14))*w**13*w*w*w**10 assuming w is positive.\nAnswer: w**32","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3.9 - -3.8. What is the nearest to q in 0.5, 0.2, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 0 = 138. Is 43 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 1110180434*h*v + 467467961*h wrt v.\nAnswer: 1110180434*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m*m*m*m**6\/m*m)*m*m)\/m**(-1\/37))\/(m*m**9\/m*m*m*m*(m*m**(-3\/16))\/m) assuming m is positive.\nAnswer: m**(-10529\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppqkzpkzpkqp. Give prob of sequence zkkk.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**2 + 3*b**2 - 6*b**2)*(17 - 10 - 40 + 85) + 1055 - 1055 - 18*b**2.\nAnswer: -70*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/(-3280)*55\/22*-22*30\/(-165).\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = f + 3. Let s be v(3). Let o(l) be the second derivative of l**3\/2 - 11*l**2\/2 - 12*l + 5. Is o(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 less than -81330860?\nAnswer: -81331008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -629 + 635. Let w(l) be the third derivative of 0*l - 2*l**2 + 0*l**5 + 1\/120*l**r + 0 - 1\/6*l**3 + 0*l**4. Differentiate w(n) wrt n.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2)*(-110)\/55*-1*18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 57 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 37691796 to the nearest integer?\nAnswer: 6139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 784049?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in thirty-seven halves of a day?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*x**3 + 9*x**3 - 13 - 7*x**3 - 8*x**5 + x**2 + 88*x**5 wrt x?\nAnswer: 4800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29407 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00384075 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - -1 - (3 + -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 18, -60, 53, -3 in increasing order.\nAnswer: -60, -3, 3, 18, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 452, 444, 436, 428?\n\"Answer: -8*r + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -6*s - 35*s**2 + 4*s + 106*s**2 - 41*s**2 - 31*s**2 + 6 - 4*s. Suppose -3*t + 10 = 25. What is c(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 320930 to the nearest integer?\nAnswer: 567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 143 - 149. Let d(h) be the second derivative of -2\/25*h**5 + 4*h - 17\/30*h**4 + 0 - 4\/3*h**3 - 4\/5*h**o. Find s such that d(s) = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 28*f**4 + 429*f**2 + 44912 with respect to f.\nAnswer: 112*f**3 + 858*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5073 or 1?\nAnswer: -5073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 18702*u + 112614. Calculate n(-6).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16313007 by -1877.\nAnswer: -8691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u**2 + 3*u - 90. Give w(-35).\nAnswer: 1030","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -255*w = -268*w + 3965. What is the remainder when w is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 - (-9)\/3 - 2. Find the third derivative of -7*y**4 - 12 + 12 - 14*y**2 - 3*y**l wrt y.\nAnswer: -240*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 5*j = -5, 30 = 4*n + 4*j + j. Suppose -4*u = -6*u. Let f be -4 + u - (4 - 3). Put n, 3, f in ascending order.\nAnswer: f, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y**3 + 6*y**2 + 6*y - 4. Give f(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 86*v - 343. Let d = -891 - -898. Let m be t(d). Is m equal to 257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.73 + 2.25. Let l = -0.38 - -0.4. Let t = z + l. Which is the nearest to -1\/2?  (a) -2\/15  (b) t  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -309*n**2 - 10511*n - 167. Let x be w(-34). Solve -5\/2 + 2*v**2 + 1\/2*v**4 - x*v + 3*v**3 = 0 for v.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - 0) + (-2 - -2 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-3\/8)*b)**(-18)*b**29*b\/b**(-7\/3))**(-4\/7) assuming b is positive.\nAnswer: b**(-253\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2904 and -1146.\nAnswer: 1758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-42*y + 2 + 75*y - 40*y)*(-2*y - 2 + 2) as b + k*y**2 + w*y and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 42 = q, -3*m + 3*q - 28 = 2*q. What is the remainder when (m\/6)\/(2\/(-42)) is divided by -4*(-6)\/4*2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-70)\/(-9) + (-2)\/(-9). Let s = z - 3. Suppose -4*d - 4*m + 13 = -5*m, -3*d = 4*m - s. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 15 = -5*a, 55*a - 19 = 58*a - 2*g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*o**2 + 7*o**2 - o - 4*o**2 - 5*o**2 wrt o?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j = -2*h + 4, 2*h + 0*h = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122*v + 174*v = 3172. Solve -96 = -5*n - v for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -0*o - 2*o + 90, 0 = o - 2*w - 44. Suppose -o*k + 41*k - 2 = 0. Suppose -5*g = -2*g. Solve g = k*h + 2*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*x**3 + 482*x**4 - 15*x**5 - 15*x**3 - 401*x**4 = 0.\nAnswer: 0, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 9 - 7 - 4 + 7*r.\nAnswer: 7*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-199767)\/2 - (-10)\/(-20). Let k = -139884 - n. Round k to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 103, 396, 885, 1570, 2451?\nAnswer: 3528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -123 + 122. What is the second biggest value in 1, -2\/11, 6, p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.6682 - 0.0318. Which is the second biggest value?  (a) t  (b) -8\/3  (c) -0.5  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 4 - 4 - 2 + 36*x. Let o(i) = -2900*i + 8705*i - 2902*i - 2904*i. Calculate o(v(r)).\nAnswer: -36*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -3*p**2 - 2*p + 1. Suppose -5 = -7*y + 2*y. Let i be m(y). What is the units digit of (2\/i)\/(-1)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 41901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -117, -126, -137, -150?\n\"Answer: -g**2 - 6*g - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = k + 5*y, 8 = -k + 60*y - 58*y. Sort -4, k, 4, -3, -16 in decreasing order.\nAnswer: 4, k, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 80\/6 + (-3)\/9. Suppose 1 = y - f. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 58 > 11257089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 7*m**2 - 8*m + 13. Let g be r(-5). Suppose s = g*j - 661, -224 = -j + 4*s - 0*s. Calculate the highest common divisor of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6a116 (base 12) to base 8\nAnswer: 425042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 32\/5 of a kilometer in meters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.13338645 to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -73805\/139 + 531. Which is greater: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 23 = -5*o, -7*o + 5*o + 2 = 2*w. Solve 5*g**2 + 11*g**2 - 3*g**o - 12*g**2 + 35*g**2 = 0 for g.\nAnswer: 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-40)\/10)\/(28\/77)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1872395658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.00859 + -0.39141. Sort -4, 2, c in decreasing order.\nAnswer: 2, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*p - 190 = 12*p. Suppose 2*f = z - p, -2*z + 3*f = -9 - 33. Solve 0 = -5*o + z - 22 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -77*k + 82*k = 5. Solve 3*u = 3*f + 3, 6*u - k = 3*u + 2*f for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3989832 a multiple of 762?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -72, 11, -14 in increasing order.\nAnswer: -72, -14, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -h*k*n**2 - 697*h*k*n*p + 5*h*p - 2*h - 68*k*n**2*p - k*n**2 + 2*n**2*p - 2*n**2 + 14*n wrt h.\nAnswer: -k*n**2 - 697*k*n*p + 5*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*i + 1906894 = -44*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 12:16 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1427921*i**4 - 324247 wrt i.\nAnswer: -5711684*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 - 8*z**2 + 9*z + 2. Let n be i(-9). Suppose -150 = -n*o - 52. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**2 - 9*r - 4. Is t(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, -13322 in descending order.\nAnswer: 0, -4, -13322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -v + 4*q + 5, -2*v = q - 21 - 7. Suppose k + 35 + v = 2*c, 5*k + 130 = 5*c. Calculate the highest common factor of 242 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 9487 - 388928\/41. Let f = -1541\/5 - -307. Find the common denominator of h and f.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 13\/10, -3\/5, 0.03 in ascending order.\nAnswer: -3\/5, 0.03, 13\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/(5\/2) - -32. Let x = -21 + l. Let m be -1*(-1 - x\/(-6)). What is the closest to m in -2\/9, 3, -2\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 16*u**3 + 10*u**2 + 12*u - 4. Let k(x) = 11*x**3 + 11*x**2 + 11*x - 3. Let t(z) = -2*h(z) + 3*k(z). Calculate t(-12).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96 = 4*v + 3*k, 3*k - 10 + 58 = 2*v. Let y be (-4)\/6 + (-22)\/(-6). Suppose 0 = y*s - 81 - v. What is the remainder when s is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 4*k + 260. Give r(-32).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i*(i*i**(-2\/49)*i*i)\/i*i*(((i*i\/(i*i**16*i*i)*i)\/i*i)\/i)\/i*(i**(-2\/17))**(-1\/35) assuming i is positive.\nAnswer: i**(-54301\/4165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*u**3 - 44*u**3 - 16*u**3.\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the first derivative of 3*t**4\/28 - 2*t**3\/7 + 3*t**2\/14 + 3. Factor l(d).\nAnswer: 3*d*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.1 - -2.1. Let f = t + -3. Let l = -31.2 - -31. Which is the biggest value?  (a) l  (b) f  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4 + 12. Let w(h) = h**3 - 9*h**2 + 7*h + 3. Let u be w(f). Is 2\/5 + (-108)\/u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 4 - -4413?\nAnswer: 4420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -93 divided by 3?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 413319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of r**5\/20 + 2*r**2. Let h be q(-1). Let j(z) = z + 4. What are the prime factors of j(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (1*sqrt(85)*2)\/(sqrt(10)\/sqrt(2)*-2) + ((-3*sqrt(119))\/sqrt(7) - (-3 + sqrt(1700))).\nAnswer: -14*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 - (3\/1 + -3). Suppose -3*x - x + 36 = -4*l, 0 = -4*x - 4*l - b. What is the remainder when 9 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 311830 is divided by 5660.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 227 and 2986.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -1429*f**3 - 4*f**2 - 30*f - 46. Is 7 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1493, -4747, -9761, -16535, -25069, -35363, -47417?\n\"Answer: -880*m**2 - 614*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -141401244, -141401243, -141401242, -141401241, -141401240, -141401239?\n\"Answer: s - 141401245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(180) + -5 - sqrt(40)\/sqrt(8)*5)**2.\nAnswer: -10*sqrt(5) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -2723928, -2723926, -2723928, -2723934, -2723944, -2723958?\n\"Answer: -2*u**2 + 8*u - 2723934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38*l + 9189 = 47*l. Suppose 0 = q + 4*u - l, -3*q + 5021 = 2*q - u. What are the prime factors of q?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*b**3 + 0*b - 2*b + 1 - 5*b**3 - 10*b**3 as a*b + z + x*b**3 + k*b**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -160*y - 479603328 = -544*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 736 by -21.\nAnswer: -736\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -62 + 105 - 30*m - 55 wrt m?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -4865, -9730, -14597, -19466, -24337?\n\"Answer: -l**2 - 4862*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 9 = -3*o. Let c(r) be the second derivative of 0*r**5 + 0*r**o - 3*r + 0*r**4 + 0 - 1\/10*r**6 - r**2. Differentiate c(g) wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 87740655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 84*m**2 - 14*m - 71. Let i = 162 + -167. Is v(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23798 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 1513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15378*l**6 - 11*l**2 - 579*l wrt l.\nAnswer: -1845360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-24)\/8 + 4)*0. Solve c = u + 45 - 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 102*f - 878 = -102*f + 958 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/16 and -47\/106.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -41 + 40.8. Let y = 488 - 492. Let k be (-2 + (-9)\/(-6))*-1. Which is the second biggest value?  (a) w  (b) y  (c) k  (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1053) + 1*sqrt(1053))*2 + (sqrt(1053) + 0 - sqrt(1053))**2 + 3.\nAnswer: 3 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -13612, -13495, -13380, -13267?\n\"Answer: -q**2 + 120*q - 13731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r + 21. Let h be s(-15). Calculate the remainder when 38 is divided by -3*(-4)\/h*4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = -o + 5*o + 38, 9*n + 19*n = -2*o + 30*n - 28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 7022625 times -0.3\nAnswer: -2106787.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/60*1 - 21\/12\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u - u - 90. Let y = 43 - u. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 229*h**2 + 13*h - 9. Let w(l) = -114*l**2 - 7*l + 4. Let v(x) = -2*m(x) - 5*w(x). Is v(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 193 + -98. Suppose a = -4*a + p. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m + 1. Let i be h(-1). Is i at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (28 + 27 + 8)*(-47*g - 4*g - 20*g).\nAnswer: -4473*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 AM and 5:04 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w = -66*p - 134, 3*w - 3525 = p - 3474 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6654 divided by -1?\nAnswer: -6654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 735 + -707. What is the remainder when 415 is divided by k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nsnnnznszon. What is prob of picking 2 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -1327*c - 44834 - 99809 for c.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 7*k**3 + 49*k**2 - 2*k - 7. Calculate the remainder when 121 is divided by j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 13 = -t + 5*j, -5*t = -5*j - 25. Let p(g) = -5*g + 87. Let b be p(17). Is t at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 0 + d + (d - 3*d + 4*d)*(-1 + 6 - 4) + 5 - 5 + 3*d)*(d - 4*d + 2*d) to g*d**2 + s + w*d and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -5 - 105\/(-25) - (-7 - -6). What is the smallest value in -1\/41, h, 3?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-231)\/42 - (-12)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -529213 at least as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) be the second derivative of b**4\/36 + b**3\/9 - b**2\/2 - 220*b + 2. Factor c(o).\nAnswer: (o - 1)*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7914.15 rounded to the nearest 10?\nAnswer: -7910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 136 + 1.5342423\nAnswer: 137.5342423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 3*o**2 - 2*o + 1. Let x(q) = -q - 1. Let c(g) = -r(g) + 4*x(g). Let v(m) = -8*m**2 - 6*m - 14. What is 14*c(t) - 5*v(t)?\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 89049678 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/(-3)*(-5)\/(15\/1746).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000001334460043 to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -68\/7 in 5\/6, -2\/17, 82\/3?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -9*l**3 - 3*l**2 - 14*l + 5. Let r(v) = -17*v**3 - 6*v**2 - 26*v + 9. Determine -11*j(z) + 6*r(z).\nAnswer: -3*z**3 - 3*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 408 minutes before 11:02 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 298647485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + -230?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 395 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4383.704 + 4354. Round d to 1 decimal place.\nAnswer: -29.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-23)\/(-5) + 2*4\/20. Let p(j) = -j**3 - 6*j**2 - 6*j - 3. Let v be p(-5). Put t, v, 14 in descending order.\nAnswer: 14, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -25\/16 + 2557\/1616. Which is the third smallest value?  (a) -5  (b) r  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -412, -182, 48?\n\"Answer: 230*f - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i - 17*i + i in the form x + y*i and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 48*h + 109. Let b(x) = 198*x + 436. Let a(c) = -c**2 + 11*c - 52. Let t be a(6). Let k(y) = t*w(y) + 6*b(y). Differentiate k(q) wrt q.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 9*r**5 - 51*r**4 + 66*r**3 - 24*r**2 = 0.\nAnswer: 0, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0028 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.91 times -328.6?\nAnswer: -299.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -30 + 94. Suppose -126 = -5*f - m, -5*f - 840 = 4*m - 939. What is the remainder when j is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -237, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.05, 0.4, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -13, 0.09, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/1)\/(-1) - 2. Suppose q = -2*q. Let r(b) = b**3 + b**2 - 2. Let p be r(q). Which is greater: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/(24\/(-10))*15\/(-50)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1807268483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = -q**2 - 6*q - 4. Let d = 91 - 96. Determine v(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80693.\nAnswer: 19, 31, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 26 = 4*a, 4*g = -g - 5*a - 70. Let d be g\/(-4) - (-3)\/(-6). Let q be 0\/(d + (-12)\/3). Solve -2*n + 6*n = q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -188*b = -192*b + 8. Factor -9\/4*q**b - 3\/4 - 9\/4*q - 3\/4*q**3.\nAnswer: -3*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2340?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y**2 + y + 1. Let l = 109 + -52. Let u = l - 55. What is w(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*o**3 - 645*o**2 + 11550*o + 329440 = 0.\nAnswer: -142, -16, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9.81 + 5.81. Which is the closest to 1\/3?  (a) -2  (b) -2\/3  (c) 5  (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 129828 and 24?\nAnswer: 259656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4630261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 80404393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(1\/3)\/y*y)**1)**(-1\/40)\/(y**(4\/5)\/(y\/(y**(-4\/7)\/y))*(y**(-1\/3)*y*y)\/(((y*y*y*y\/(y**(-2\/9)\/y)*y)\/y)\/y)) assuming y is positive.\nAnswer: y**(10883\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -2*t**4\/3 - 790*t**3\/3 - 12692*t**2\/3 + 20104*t - 21168 = 0.\nAnswer: -378, -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the second derivative of -9*x**5\/80 + 47*x**4\/8 - 207*x**3\/8 + 87*x**2\/2 - 909*x - 1. Find u, given that c(u) = 0.\nAnswer: 1, 4\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in 4, -3, 136, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) be the first derivative of u**6\/40 + u**5\/20 - u**4\/4 - 6*u**2 - 19. Let y(a) be the second derivative of r(a). Let y(t) = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((209\/176)\/19*4)\/(9\/(-1368)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 4, 5, -1\/6, -2, 11\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 3*w**2 - 2549*w + 532049. Determine o(369).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7574?\nAnswer: 2, 7, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 7 + -128 + 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 22 = 18. Solve a*x - 6 = 2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 (base 10) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01582082 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 29748, 59507, 89268, 119031, 148796, 178563, 208332?\nAnswer: 238103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) be the first derivative of -29*f**3\/3 - 25*f - 4. Differentiate x(b) wrt b.\nAnswer: -58*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 262*h - 35346 = -168*h + 841*h for h.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 14*q**3 - 76*q**2\/3 - 352*q\/3 - 64\/3 = 0. What is q?\nAnswer: -2, -4\/21, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5357591717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3009*t**5 + 2093*t**3 - 7*t**2 + 25014067 wrt t?\nAnswer: -180540*t**2 + 12558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*z - 3076 - 4064 = 0. Let v = 2307 - z. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8887728*j + 16789707.\nAnswer: -8887728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 15785 divided by -19?\nAnswer: -15785\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -89 + 75 - (-7 + 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 679614, 1359409, 2039214, 2719035, 3398878, 4078749, 4758654?\nAnswer: 5438599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1949 is divided by 449?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003913 to four decimal places.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 294375?\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {l: 1, o: 2, b: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express (15 + 5 + 13)*(62*y - 31*y + 16*y)*(2 + 1 - 2) as i*y + f and give i.\nAnswer: 1551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 + -1 + -16 - (3 + -18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -281, 4, -3 in descending order.\nAnswer: 4, -3, -281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 540?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -18079.061524 - -18079. What is n rounded to 4 decimal places?\nAnswer: -0.0615","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -7 - 5 + 14. Let g(n) = -n**2 + 2 - 1 - 2. What is 2*g(z) + o(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -g*v**3 + 1499472*g*v + v**5 + 73097822*v**3 + v wrt v.\nAnswer: -6*g*v + 20*v**3 + 438586932*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 12*r + 3. Let h(k) = -5952*k + 45. Give 2*h(g) - 30*o(g).\nAnswer: -12264*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000804 rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -284*t + 268*t + 38082 = -3376846. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2642 to the nearest ten.\nAnswer: -2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 321 minutes before 6:51 AM?\nAnswer: 1:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -12*p**3 - 23*p**2 - 49*p - 263. Is n(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3133 - (-5 + 7\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24616224353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*t**3 + 963089189 - 963089189.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1474, -522.\nAnswer: -522, 2, 1474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = 893*z. Let s(b) = 11*b**2 + 32*b. Let d(i) = -10*i**2 - 24*i. Let k(r) = 4*d(r) + 3*s(r). Calculate k(x(l)).\nAnswer: -5582143*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(-1) - ((-63)\/9)\/7. Solve y + 3*y - 16 = k for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 68 + -68.4. Let s = 0.2 + -1.2. Which is the nearest to s?  (a) x  (b) 10  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 29 = -4*b + 8*b, -h = -b - 1. Let i = b + 11. Suppose 179*q - 185*q = 438*q - 10656. Calculate the remainder when q is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 6, s: 4, j: 2}. Give prob of picking 1 j and 1 s.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -1.6*-281116\nAnswer: 449785.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 5 and (-256)\/(-24) + 8\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -9 + 2. Let r be (y\/3)\/((-3)\/54). Let x(b) = -36*b - 642. Let d be x(-18). What is the greatest common factor of d and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 23.2 * 0.2.\nAnswer: 4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -547064 divided by 273532\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h - 8 = 0, 4*c - 3*h - 96 = h. What is the greatest common factor of 52 and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 6*w**3 + 8*w**2 - w - 59. List the prime factors of j(6).\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 AM and 1:14 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -17?  (a) -1\/3  (b) -14.8  (c) -1\/4  (d) 4  (e) 132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16129*x + 153*x**3 - 16129*x.\nAnswer: 153*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 3*g**2 - 14*g + 3. Let q be k(4). Suppose 4*p = 3*p. Let n be (p - 8\/14)\/1. Which is the closest to -2\/7?  (a) n  (b) -0.3  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 5, -7487, 554, -1, -3 in descending order.\nAnswer: 554, 5, 0, -1, -3, -7487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n = -4*u + 219, -2*u + 2*n + 3*n + 103 = 0. Let s = u - -17. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1091.\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sgdgswsdgdbdddb. Give prob of sequence gws.\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*sqrt(9)\/sqrt(75).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 16.74*10200\nAnswer: 170748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 90959, 90960, 90961, 90962, 90963, 90964?\n\"Answer: f + 90958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -33 - -30. Let x(o) = -6*o + 3. Let c(m) = -1. Let r(k) = k. Let h(u) = 2*c(u) + 3*r(u). Let d(s) = -9*h(s) - 5*x(s). Determine d(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/7))**(2\/15)*y*y**(-13)*y**(1\/2))**17 assuming y is positive.\nAnswer: y**(-41123\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:58 AM and 9:45 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (a + 0*a + 0*a)*(301 + 45 - 620).\nAnswer: -274*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from -6850.\nAnswer: -6850.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*t + t**3 + 0*t)*(-2 + 607*t - 2115*t - 152*t)*(1 + 4 - 2) in the form f*t**2 + z*t**4 + g*t**3 + x + s*t and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = s**3 - 10*s**2 + 2*s. Let i be x(10). Let n be (-891)\/(-77) + -12 + (-174)\/(-14). What is the highest common divisor of i and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1885*n**3 - 1879*n**3 - 2*n**2 + 3763*n**3 + 8*n**2 - 2*n**2.\nAnswer: -n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (24\/250)\/(414\/345).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s - 2 + 0*s - 1. Let k be z(5). Let t(v) = -v**2 + 6*v + 1. Let n be t(5). Calculate the greatest common divisor of k and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -55\/1734452 and 11\/13027.\nAnswer: 12141164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1187.577 - 1187. Let l = -0.323 - q. Put 1, 7, l in decreasing order.\nAnswer: 7, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6049 - 7.712?\nAnswer: -6056.712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-18)*(-7)\/2)\/(7\/(-7))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -2*v + 98, v + 2*q = -v + 96. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/3 + 7 + 290\/(-30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwg when three letters picked without replacement from wxxgxxwxiw.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 18\/5 of a hour?\nAnswer: 12960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 130*t = 4*d + 132*t - 46, -54 = -5*d - 2*t. Calculate the highest common factor of 6152 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19.7 - -1.3. Let y = -125 - -109. Let j = d + y. Put j, 9, 1\/11 in ascending order.\nAnswer: 1\/11, j, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v**2 - 4*v**2 + 21*v**2 + 2 + v. Is 16 a factor of y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2b2 + -4a?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u**2 + 0*u + 0*u - 2*u**2 + 7*u**2 - 2*u**2 + (2*u**2 + 2*u**2 - 2*u**2)*(1 - 4 + 5))*(4 + 0 - 2).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - 11) + -8 + 1 + 5 + 6.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -6687*w + 40125. Calculate s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**2 - p**3 + p**4 - 3*p**4 + 57 + 2*p + 126 - 192 + 105 in the form d*p**3 + o + i*p**4 + j*p + l*p**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 PM and 11:10 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (0 + sqrt(3) + 0 + -4 - (4 + 2*sqrt(27)))**2.\nAnswer: 80*sqrt(3) + 140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -3*f**3 + 14*f**2 + 33*f + 15. Suppose 0 = -2*p + 5*b - 2*b - 1, 3 = -p + b. Is h(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5539, -11079, -16619?\nAnswer: -22159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/((36\/(-8))\/(-9)). Let j(z) = 4*z**2 + 3*z + 3. Let w(b) = -b**2 - b - 1. Give u*j(l) + 6*w(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.0803648 and -0.01.\nAnswer: 0.0703648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 177\/(-18) - (-4)\/(-24). Does 21 divide ((-504)\/20)\/(3\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14.6 + -16. Let n = g - -1.3. Suppose -l = -3*l + 10. Sort n, l, -4\/5.\nAnswer: -4\/5, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 81*3.2\nAnswer: 259.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2271698707?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1*-8*(-6)\/(-216)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 5 = 0, -4*w = 3*a - 3*w + 40. What are the prime factors of 13 - (-5)\/(a\/(-6))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-8\/7)*l)\/(l\/(((l\/(l**(9\/8)\/l)*l*l*l)\/l)\/l))*(l**1)**(1\/3) assuming l is positive.\nAnswer: l**(179\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 5 = -15. Suppose d + 5 = f + 1, 0 = -5*d + s*f - 16. Suppose -h + p + 8 = d, 4*h + p - 68 + 21 = 0. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -10*c - 4. Give r(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x - 2. Let w = -852 + 481. Let g = 369 + w. Let k(n) = n + 3. Determine g*k(z) - 3*i(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 570*l - 576*l + 24. Let n = 5 + -3. Let u = n - -4. Calculate the remainder when u is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/7?  (a) 5  (b) 3  (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 165*h**3 - 37956*h**2 + 2183505*h - 79350 = 0. What is h?\nAnswer: 2\/55, 115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:52 PM and 1:32 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 42285?\nAnswer: 3, 5, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 154680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -346*t + 7330 + 341 = -115*t - 2031 for t.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 4.4, 0.22, -20.5 in ascending order.\nAnswer: -20.5, 0, 0.22, 4.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -1502, -1, 5, -12, -737.3 in decreasing order.\nAnswer: 5, -1, -12, -737.3, -1502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f. Let v(c) = -7538*c**2. What is v(y(m))?\nAnswer: -7538*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -50 - -99. What is the greatest common divisor of q and 294?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence brp when three letters picked without replacement from {r: 2, b: 4, c: 3, p: 4, u: 3}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 980797?\nAnswer: 131, 7487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -13*h - 11*h**3 - 4*h**2 + 24*h**3 - 3 + 5. Let u(z) = 28*z**3 - 8*z**2 - 27*z + 4. Let c(x) = 13*m(x) - 6*u(x). Calculate c(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w**3 - 14*w**2 - 14*w + 2. Let r(f) = f**3 - 8*f**2 - 7*f + 1. Give 5*r(n) - 3*s(n).\nAnswer: -n**3 + 2*n**2 + 7*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ckc when three letters picked without replacement from {x: 2, c: 5, k: 4, i: 2}.\nAnswer: 20\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -3\/2, -1213, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 159*j + 2528. Calculate t(-17).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 112.5 times -1.0161?\nAnswer: -114.31125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the second derivative of g**3\/2 - 7*g**2 - 54*g. Calculate s(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*h - 207415 = -53*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*m + 2*m + 0*m)*(3*m**2 - 3*m**2 + m**2) + 3*m**3 + 2*m**3 - 3*m**3 + (-5*m + 4*m + 4*m)*(m**2 + 3*m**2 - 6*m**2).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 41615035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -557*x - 3608. What is the remainder when f(-8) is divided by 92?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 375288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 312526620*s**2. Let j(t) = 2*t**2. Calculate j(k(u)).\nAnswer: 195345776417248800*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 468814 and 20?\nAnswer: 4688140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*c + u = 11*c - 14, -5*u = 5*c + 35. Let q(l) = l**3 - 46*l + 14. What is q(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 200 - 141. Let c(q) = q**3 - 6*q**2 + 4*q + 7. Calculate the remainder when d is divided by c(6).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -3*x**2. Let n(c) = 0*c + 2 + 4 - 5*c**2 + 0*c. Let k(p) = -p**2 + 1. Let f(z) = 6*k(z) - n(z). What is f(s(j))?\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 123918, 495785, 1115562, 1983249?\nAnswer: 3098846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/50, 7, 3, -0.01, 2\/7, -3 in increasing order.\nAnswer: -3, -0.01, 3\/50, 2\/7, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-28)\/112 - (-82)\/8. Suppose 5*r = 4*v - 23, r = -v - 0 - 1. Let b be r*164\/(-12) + -1. Calculate the highest common factor of u and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/24 of a decade?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n*n**(-2\/27)\/n*n*n))\/n*n**(-4\/3))\/(n**(-5)\/(n*n**(-2\/13))))\/((n**(-1\/2))**(-4\/19))**44 assuming n is positive.\nAnswer: n**(-13636\/6669)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -352*w**2 - 29*w - 8. Calculate p(-2).\nAnswer: -1358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3033222 (base 4) in base 12?\nAnswer: 7836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14870805.\nAnswer: 3, 5, 991387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 660261 (base 8) to base 12.\nAnswer: a8129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 61\/4 of a century?\nAnswer: 18300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3385*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 5*b - 10 = 0, j + 3*b = -0*j - 4. Let c(f) = -f**2 + 6*f - 3. Let p be c(j). Let l be (-8)\/(-22) + p\/(-11). What is the closest to 0 in 3, -2\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8 + 3*k**4 + 58*k - 35*k + 27*k**3 - 5 - 25*k as u*k + p*k**3 + z*k**2 + r*k**4 + y and give p.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-11 - 0) + (17 - -17 - -18)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 0*q - 4*t = 38, -2*q = 3*t + 3. Suppose -q - 6 = -2*l. Let d(z) = -z. Let a(r) = -3*r. Give l*a(y) - 17*d(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.2  (b) 3  (c) 0  (d) 393\/443  (e) 1  (f) 0.3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4\/9  (b) -5  (c) 189\/1562\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 29717 + -29716.9935879. What is t rounded to 5 dps?\nAnswer: 0.00641","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/46, -2\/7, 0, 5, -1\/3, 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 50187310783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 78f - 20ac?\nAnswer: -191d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -5 (base 9) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1392135.3 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 1 h when two letters picked without replacement from {t: 5, x: 1, v: 1, h: 2}?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 12 - 73\/6. Let v = -95 - -28. Let w = v + 66.87. What is the second biggest value in b, -0.3, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -36511.\nAnswer: -10\/36511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1983314?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 3 - 73. Let n be 8\/28 + (-38)\/b. What is the first derivative of 6*x**4 - 24*x**n + 24*x**3 + 1 wrt x?\nAnswer: 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -35 + 60. Is o at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -111*(440\/600)\/(-11)?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12445*o = 12436*o + 2*p + 55, -5*o - p = -20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -12*k**3 - 3*k**2 + 58.\nAnswer: -36*k**2 - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2000990539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 1573.31, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -83 + -12632?\nAnswer: -12725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35460 + -33266. Which is smaller: d or 2193?\nAnswer: 2193","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = -12*x + 1897. What are the prime factors of x?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-3200)\/(-40))\/((-10608)\/(-47979) - 8\/36). What is a rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 580971405 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 4}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 22881 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-1\/9)*p)**38\/(p**(1\/12))**(-1\/3) assuming p is positive.\nAnswer: p**(1217\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((7\/21)\/(2\/(-6))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13595 is divided by 189?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2499*l = 2513*l + 42. What is the third smallest value in 0.02, l, -0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 129, -713, -2991, -7419, -14711, -25581, -40743, -60911?\nAnswer: -86799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:54 AM and 1:26 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2621832 and 873944.\nAnswer: 2621832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -g**2 - g - 1. Let z(w) = w**2 + 17*w - 15. Let p be z(-18). Calculate i(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-63)\/3 + 12\/4. Let f = a + 18. Suppose f = 2*s - 0*s - 34. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*z**4 + 170*z**3 + 555*z**2.\nAnswer: -5*z**2*(z - 37)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) be the first derivative of a**2 - 2*a + 1. Let n = -1 - 1. Let v be -1 - (n*1 + 4). Let b(r) = r**2 - 3*r + 3. Determine v*z(l) - 2*b(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 6*u**2 + 2*u + 8. Let n(s) = -5*s**2 - 2*s - 7. Determine 7*n(o) + 6*r(o).\nAnswer: o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-14*d**2 + 25*d**2 - 19*d**2)*(604 + 570 + 82) - 3*d**2 + d**2 + 3*d**2 to the form k + s*d + c*d**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 25 = -2*i. Suppose i*j = 23*j + 20. Calculate the lowest common multiple of 12 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 471.1 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -32*0.4\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8724901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 4*u**2 + 5*u. Let r(f) = f**2 + f. Suppose 3*x - 840 = -3*x. Let p be (1 + 5)\/((-42)\/x). Give p*r(z) + 4*y(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the third derivative of l**6\/144 + 7*l**4\/24 - 2*l**2. Let i(f) be the second derivative of u(f). Give i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4549446*n**2 - 2274716*n**2 - 2274705*n**2.\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3456249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2207828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 23*l**2 - 11. Let s(r) = -18*r. Determine t(s(b)).\nAnswer: 7452*b**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*h - 8, -6 = -2*s - 9*h + 6*h for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2905, -2891, -2867, -2827, -2765, -2675, -2551, -2387?\nAnswer: -2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 300014?\nAnswer: 2, 11, 13, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 3:15 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((((sqrt(91) - (-1*sqrt(91) + sqrt(91))) + sqrt(91))*2*-4)\/(sqrt(7)*-2*1 - sqrt(112)*-1) + -2).\nAnswer: 4 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8060 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*d - 3*t - t + 2172, 0 = 5*d - 2*t - 2701. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 32 and 7190752.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-8)\/10)\/(16\/(-40)). Let w(j) = -6*j**2 + 12*j**2 + 3*j**i. Let l(a) = 2*a. Calculate l(w(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5*(-72 + (2 - 3)). Let u(d) = -3*d - 20. Let c be u(-3). Let z be (-2)\/11 + h\/c. Which is smaller: z or 35?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*u + 53*u - 4*z = -8, -73 = -30*z + 137 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -3*i**2 + 5*i + 4. Let x = -806 - -810. Calculate y(x).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -o**3 - 8*o**2 + 4. Let w be k(-8). Solve -3*h + 4*q = 3*q - 13, 4*h = w*q + 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1186 + -1186. Solve 5 = v + 2*r + 3, -5*v + 2*r - 2 = t for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*z**3 - 18*z**2 + 18*z**2)*(0*z**2 - z**2 + 0*z**2) + (3*z - 3*z - z**2)*(-2*z**3 + 20*z**3 + 6*z**3).\nAnswer: -29*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 30 = 6. Suppose 4*h = -r + t, r + 2 = 2*h - r. Let y(x) = 5*x. Let s(u) = 13*u + 1. Let j(m) = 2*s(m) - 5*y(m). What is j(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100611.\nAnswer: 3, 7, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 53\/17468 and 33\/10.\nAnswer: 87340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 288143 from 0.07278.\nAnswer: -288142.92722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -156 + -5535?\nAnswer: -5713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v**3 + 11*v**2 - 22*v + 22. Let a be b(9). Suppose -3*g - 2*g = -5. Let o = g - a. What is the greatest common factor of o and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1225290909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (l + 2*l - 2*l)*(-l + 2*l + 1 + 5*l) to r*l + h*l**2 + x and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8057369 and 9.\nAnswer: 72516321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 158 minutes after 12:38 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 100, 400, 896, 1588?\n\"Answer: 98*p**2 + 6*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 AM and 1:53 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3925*n**5 + 1304*n + 2?\nAnswer: 78500*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2593607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 39*v - 2*v**2 - 5*v - 11*v + 577*v**3 + 21*v - 586*v**3 in the form q*v**3 + z*v + y*v**2 + s and give z.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 485970?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/8 + ((-2)\/(-8) - 0). Let i be z\/(2\/6)*(-1 - -16). Suppose -4*o = -165 + i. What is the remainder when 57 is divided by o?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12)*6)**2 + (sqrt(24) - sqrt(24)*1)\/sqrt(8).\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*p + 13 - 3*p**4 - 27 + 15 + 12*p to the form k + q*p**4 + i*p**3 + z*p**2 + o*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 525 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of 0*u - 2*u**2 + 0 + 0*u**3 - 1\/24*u**4. Let r(b) = -544*b. Let d(g) = 26*g. Let f(x) = -85*d(x) - 4*r(x). Calculate s(f(m)).\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:35 PM and 11:03 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -108, -5, 2\/9 in increasing order.\nAnswer: -108, -5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**3 + 16466*v**2 - 89409649*v + 160408380384.\nAnswer: -(v - 6624)*(v - 4921)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(52) + 1 - (3 + sqrt(13) + 1) - (sqrt(91)\/(1*sqrt(448)))**2.\nAnswer: -205\/64 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.38 - 34.38. Let s = u - -34.000038. Round s to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 173460293.\nAnswer: 373, 465041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 27237 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: Calculate the smallest common multiple of 65 and 637.\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0 + -0.2. Let g = -0.8 + i. Which is the smallest value?  (a) -0.3  (b) g  (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8\/15, -1, 29 in descending order.\nAnswer: 29, -8\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 - 77 = 21*n. Let y(m) = 7*m + 32. Let t be y(n). Solve 4*w + 0 + 16 = -5*p, 0 = 5*w + t*p + 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1*4)\/2)\/((-530)\/(-53)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1291*h**2 - 1296*h**2 - 1305*h**2 + 6481*h**2 - 1290*h**2 - 1298*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 54 + -29 + -59 + 45.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 448 minutes before 5:51 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 49566 + -5?\nAnswer: 49561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3692 and 355.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1 + 543?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -29 + 5. Let u be (3\/(-6))\/((-2)\/36). Suppose -11*c + 10 = -u*c. Solve 4*a = q, -3*v + 3 = -3*a + c*a for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1145*a - 11 with respect to a.\nAnswer: -1145","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7622 = -509*n - 5553 + 450 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -5442, -6119, -6800, -7485, -8174?\n\"Answer: -2*n**2 - 671*n - 4769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 0)*(-2*f - 61*f**4 - 1883 + 1883).\nAnswer: 61*f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 79 = 15. Suppose -86*g = -82*g - 252. What is the remainder when g is divided by o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8170372l in millilitres?\nAnswer: 817.0372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n + n = 36. Let a(q) = 724*q**2 - 6*q - 8. Let l be a(n). What is l rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18967726, 18967728, 18967730, 18967732, 18967734?\nAnswer: 18967736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -84*d + 85*d + 4 = f, 4 = -d + 5*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -83 = 4*u + 93. Let r = u - -41. What is the third biggest value in -1, 3, r, -4\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 20 + 1\/(1\/2). Let x be (-4328)\/88 + 4\/h. Let b = x + 69. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -35 divided by 24248\nAnswer: -5\/3464","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 106 and 2352299?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/168 - ((-1036)\/147 + -11)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 2*k + 4 - 9 + 5. Let z(l) = -9*l**2 + 3*l. Determine c(z(y)).\nAnswer: -18*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 62958*l**2 - 125906*l**2 - 459*l + 62952*l**2 to the form n + r*l + b*l**2 and give r.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is p in p**2\/2 + 1881*p + 3538161\/2 = 0?\nAnswer: -1881","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 111, 101, 83, 57?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sgq when three letters picked without replacement from {m: 1, d: 1, q: 1, g: 1, u: 2, s: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the first derivative of 3*k**2 + 5. Let d(g) be the first derivative of -g**3\/3 - 1. Give d(h(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z*z**3\/z*z*z))**(-4)\/(z**4*z**(-1\/9)\/z) assuming z is positive.\nAnswer: z**(154\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-95) - 25012\/228475?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -z - 2. Let j(c) = c**3 - c + 1. Let o be j(2). Let u = 0 - o. Let w be b(u). Let v(s) = s**3 - 5*s**2 - s + 5. Determine v(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of 10*t**2 + 1\/24*t**4 + 1\/3*t**3 + 0 + 0*t - 1\/60*t**5. Factor k(z).\nAnswer: -(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/427424 and -73\/3552.\nAnswer: 1282272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 42759*l**2. Let r(w) = -13*w**2 + 2. Give r(g(x)).\nAnswer: -23768317053*x**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3157*c**3 - 128 + 128 + 3*c.\nAnswer: 3157*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 56, 25, -6, -37, -68?\n\"Answer: -31*l + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 12*v**2 + 2. Let r be x(-2). Let s be 1*r + 2 + 1. Suppose -3*j + 1 + s = 0. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(7\/5)*(v\/v**(-2\/9))\/v)\/(v**(2\/3)*(v**(3\/4)\/v)\/v))**(-31) assuming v is positive.\nAnswer: v**(-12307\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -234445*r + 234445*r + 459*r**4 + 365 wrt r?\nAnswer: 1836*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w - 9*w = -4*c - 8, 0 = w + 2*c. Factor 160\/9*n + 128\/9 + 34\/9*n**w + 2\/9*n**3.\nAnswer: 2*(n + 1)*(n + 8)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0*1\/3 + -2. Let n = 5 - g. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 AM and 5:27 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -7 - ((-2)\/(-48)*3 + 6201\/(-864)). Let c(q) be the third derivative of 0*q**3 - 20*q**2 + 0*q + 0 + 0*q**5 + t*q**4 - 1\/96*q**6. What is w in c(w) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 174 a factor of 568633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 68 + 116*s**2 - 5*s + 2*s + 849*s**2 - 233*s**2 + s wrt s?\nAnswer: 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of -c**5\/60 + 2*c**2. Let v(m) = 6*m**2. Give k(v(w)).\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 592694119?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/4)\/(36\/(-6) - -3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 505087 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -17, -29, -37, -41, -41?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -7*z**3 + 3*z**3 + 4*z + 3 - z**2 - 9*z. Let l(o) = 21*o**3 - o + 1 - 3*o**2 + 3*o**2 - 22*o**3. Calculate 3*l(k) - u(k).\nAnswer: k**3 + k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2 - -7. Suppose d*c - 244 = 131. Let l = 28 + -2. What is the remainder when c is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 15*b - 8*b - 15*b. Let k(g) = 3*g. Determine k(a(h)).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/13  (b) -0.04  (c) 118\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {e: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 271993062 less than -0.05?\nAnswer: -271993062.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*k - 2*k - 3*k)*(-336 + 336 - k**2) + 2 - k**3 - k - 2*k**2 + 3*k - 5.\nAnswer: -5*k**3 - 2*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 + 15*f**2 + 36*f + 16. Let h be y(-12). Suppose -20*i = h*i - i. Suppose 0 = 4*a - 0*a - 8. Solve p = -p - 5*u, a*p + u - 8 = i for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1033 + -1036)\/((-445)\/(-460) + -1)\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*o - 8 - 47 = 0. Sort 5, -4, 1, o.\nAnswer: o, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1316 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0*1\/(-1 - -2). Let b(q) = q**2 - 2*q. Let v be b(3). Let o be v - ((-1 - 0) + -1). Solve -5*k + 2*f = -z*k - 22, -3*k + o*f + 17 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -207 - 91*h + 63 + 87*h + 144.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 16*s. Let x(u) = -4*u + 6. Let c(h) = 3*h - 210. Let r(a) = c(a) + x(a). Give y(r(d)).\nAnswer: -16*d - 3264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -453*l**2 - 30*l + 99. Let c(b) = -38*b**2 - 3*b + 8. Determine -25*c(w) + 2*p(w).\nAnswer: 44*w**2 + 15*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-1)\/1)\/(5 - 160\/25). What is the nearest to 1 in -0.02, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44563723 (base 8) in base 3?\nAnswer: 200010010120220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 707818 divided by 647?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 230600 divided by 4\nAnswer: 57650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19217 or -19223?\nAnswer: -19223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + -4 - 1 - (11 + -11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/y**(-1\/7))**(-4\/13)*(y*y\/y**27)\/y*y**(1\/37) assuming y is positive.\nAnswer: y**(-88635\/3367)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 1130?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*n - 40*n - 3 = 34*n - l, -158 = 19*n - 3*l + 6 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 7 + 51 - 5 - 2*p**2 - 19*p.\nAnswer: -2*p**2 - 19*p + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 16*u**3 + 4*u**2 - 7*u - 37. Let l(y) = -4*y**3 - y**2 + 2*y + 9. Let h(j) = 2*c(j) + 9*l(j). Is h(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 2, r: 2}. What is prob of picking 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 46 = -2*n. Let q be 4\/(-8) - n\/(-6). Sort -4, 5, q.\nAnswer: q, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 14 + 1 = 5*l, 60 = 5*l - 5*j. What is the remainder when 27 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 b when two letters picked without replacement from {t: 1, v: 4, z: 3, p: 5, b: 1, u: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 - (-8*1 - 0). Let n be (-1)\/(-4) - i\/(-4). Does 7 divide ((-14)\/(-1))\/(4\/n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 5*f - 54 = 0, 3*q - 5*f = 4*q - 18. Solve -24*b = -q*b + 18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 47 + 132344?\nAnswer: 132413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 96*u**2 - 44*u**2 - 48*u**2 to the form n + y*u + c*u**2 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 29 - 19. Let t be 3\/(-5)*r\/2. Sort 4, -5, t, -1 in increasing order.\nAnswer: -5, t, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165223 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the third derivative of k**5\/15 + k**4\/12 - 10*k**2. Let q be y(-2). Is (-4)\/q + 6494\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15) - (sqrt(15) + sqrt(960)*1))\/(sqrt(27)\/(sqrt(18)\/sqrt(2))).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*((-2*sqrt(208)\/sqrt(4))\/(sqrt(64)*-4) + 4).\nAnswer: -4 - sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**4)**49*h**27\/(h**26\/h))**15 assuming h is positive.\nAnswer: h**2970","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-4\/11)*z\/z**(-16))\/(z\/z**(2\/13)*z**(-3)))**7 assuming z is positive.\nAnswer: z**(19810\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 51 + -75. Let r = -4 + k. What are the prime factors of 13 - 7\/(r\/(-8))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = r - 9. Let a be v(7). Put -1, 1, -10, a in decreasing order.\nAnswer: 1, -1, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -19\/73 and (-23)\/230 + 1058\/(-220).\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -5*w**2 - 15*w + 1. Calculate l(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q. Let j be h(-10). Let o = 12 - j. Solve 0 = y - 0*y - o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 137297, 137181, 136995, 136745, 136437, 136077, 135671?\n\"Answer: h**3 - 41*h**2 + 137337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15524.416 - 15410. Let m = 114 - f. Let a = 0.34 + m. What is a rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -2 and -13138.1?\nAnswer: 13136.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t + 2. Suppose 6 = -l + 2. Give a(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 62518 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 558*o**3\/7 + 14871978*o**2\/7 + 4317616*o\/7 - 213216\/7 = 0.\nAnswer: -26652, -1\/3, 4\/93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 522.6+-2509588\nAnswer: -2509065.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:19 AM and 10:51 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 divided by 3402656?\nAnswer: 9\/3402656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -2 - 2 - 2*a - 3. Let k(o) = 45*o - 194. Let b be k(0). Let c = b + 199. Determine f(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -453846 (base 12) to base 14.\nAnswer: -20abb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6*((-136)\/561)\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*h - 14*h - 84 = 0. Suppose 12 = i - h. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in twenty-nine fifths of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add together 10661 and -0.2.\nAnswer: 10660.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.7700236311 to 2 decimal places.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -18 - (33 - (-9 - -36))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2876b29 (base 13) to base 10\nAnswer: 12838965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 6193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-147)\/(-9) + (-2)\/6. Let m(i) = -i**3 + 9*i**2 - 12. Let h be m(9). What is the units digit of s\/3*(-45)\/h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**2\/4 - 50393*a\/2 + 6871944 = 0.\nAnswer: -101058, 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3574938 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {s: 1, r: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 13827 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -5. Suppose 0 = v*z + 3*w - 3, z - 1 - 3 = 2*w. Let g(o) = -4*o + o + o**z + 9 + 4*o + o**3 - 4. Calculate g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes after 1:34 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4057057 and 42091.\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:44 PM and 8:43 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*v + 19 - 1 = 0. Solve 5*z - 3*n = -7, v*z + 0*z = -3*n + 14 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.1  (b) -30  (c) 2  (d) -1.2  (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4241 - -4247. Let o(f) = -f**3 - f**2 + 8*f + 12. Calculate the smallest common multiple of v and o(-6).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 3) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4 - (5 + 152\/(-16)) - 12\/8. Put -213, 0, d, 4 in ascending order.\nAnswer: -213, d, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of 781*q**6\/120 - q**5\/60 - 521*q**3\/6 + 1052*q**2. What is the third derivative of m(z) wrt z?\nAnswer: 4686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is b9c - -9?\nAnswer: ba6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2256375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 167 divide 170841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-2)\/8 + 18\/8. Suppose 4*p - d + g = 0, -4*p = -2*p - 4*d + 8. Suppose -j - 2*j + 30 = p. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of 0 + 0*f**5 + 0*f**2 + 0*f**3 + 2\/21*f**7 - 17*f + 0*f**4 - 4\/15*f**6. Solve j(t) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -4*i - 5. Suppose -6*v - 4 = -h - 9*v, 5*h + 10 = -5*v. Let g(o) = -o**2 + 5*o + 6. Give h*g(l) - 6*m(l).\nAnswer: 5*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5.5 - 5.4. Which is the closest to -4?  (a) -0.1  (b) -1\/5  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 28*w**3 - w**2 + 2*w - 1. Let g be j(1). Which is greater: 57\/2 or g?\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 10 - 12 + i**2 + 2*i**2 - 2*i - i**2. Let v be l(2). Solve -4*d = -v*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.344 - 6.384. Let q = f + 6. Let c = q - -4.04. Are c and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 94.12 + -76.7. Let j = g + -0.32. Round j to 0 decimal places.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 302245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 5*c + 63, 11*c = -v + 7*c - 1. Find b, given that -19*b**2 - 8*b - 25*b**2 + 16*b**4 + 10*b**2 - 9*b**4 - v*b**3 = 0.\nAnswer: -1, -2\/7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.48 - 3.52. Let s = -4.6 - -5. Which is the nearest to 0.1?  (a) u  (b) s  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 + 30*j**2 + 315*j - 177. Does 7 divide v(25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -920 by 1483.\nAnswer: -920\/1483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1 - -4. Suppose u - s*u = 400. Let h be 3\/((-15)\/2)*u. Calculate the highest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160*z + 1038*z + 39510 = 0 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 AM and 4:57 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q + 3 - 3)*(0*q + 0*q - 2*q**3) + (1 - 2*q**2 - 1)*(q**2 + 2*q**2 - 2*q**2) + 3*q**2 - q**4 - 3*q**2.\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**(-2\/25)*r))\/(r*r\/(r*(r**(-2\/13)*r)\/r)))**(-15\/8)*(r**(-1\/7)\/r**(-1\/19))**31 assuming r is positive.\nAnswer: r**(-54189\/69160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19 + 3482.\nAnswer: 3463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.2  (b) -0.8  (c) 251\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13210233 - -300?\nAnswer: 13211133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2597 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -5.7 - -5.607. Let c = u - -0.0832. What is c rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 6 + 115?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 2616319 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/5  (b) -4  (c) 2\/11  (d) -10822\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -252729\/23 at least -10987?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8223 + -8212. What is the fifth smallest value in -13, 0.1, t, -0.2, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-2\/9))**(-3\/7))**(1\/45) assuming w is positive.\nAnswer: w**(-11\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-151 + 699 - 2363)*(-2*w - 2*w + 2*w + 3*w - 4*w + 2*w + (-4 - 2 + 5)*(0*w - 2*w + 3*w) - 2*w + 3 - 3) as v*w + b and give v.\nAnswer: 7260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00560634 to 4 decimal places.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10 - 6. Let x = -45 + 449\/10. Sort 0.3, u, x in ascending order.\nAnswer: x, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 191373041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7124?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 24559 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6888)\/(-96) - 6\/(-4). Suppose 0 = -6*s + 2*s + 292. Let k = n - s. Which is the nearest to k?  (a) -0.3  (b) -1.8  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 25730*o**3 + o - 12946*o**3 - 1 - 13359*o**3 to the form w + x*o + q*o**3 + h*o**2 and give q.\nAnswer: -575","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 290, -2, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 33344531?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.003363415715 to 5 decimal places.\nAnswer: 0.00336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 412072?\nAnswer: 2, 19, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 0 + (-6 - (-4 - -1 - 0))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 9:19 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/3*(-45)\/(-10). Suppose -i = -b - 4. Let c(w) = 2*w**3 - 2. List the prime factors of c(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*(-3)\/66)\/((-4324)\/(-665896))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (126\/(-84))\/(-11 - 2480\/(-64))?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360001940 to the power of 1\/2, to the nearest integer?\nAnswer: 18974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -526874, -526590, -526306, -526022, -525738?\n\"Answer: 284*o - 527158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = b**3 + 8*b**2 - 4*b - 13. Let i be r(-8). Solve -5*a - 3*l + 27 = 0, -l - 3 = 4*a - i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {w: 1, g: 1, e: 5, d: 3}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -298*h + 35*h + 597 + 3611 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 505*(2 + 14\/(-10)). Suppose 4*z = -119 + v. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 6\/27 - (-500)\/180. Let l be v + ((-1050)\/(-5) - 3). Suppose 2*k + a = 41, 2*k + 2*a - 8 = 32. What is the highest common factor of l and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 - 0 - (-6 + 7 + -1 + -18).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -10271 and -37025.\nAnswer: 380283775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10429 + -10429.7. Which is the closest to -24?  (a) 3  (b) 0  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 4*y + 2 = 0, y - 19 = -5*v + 4*y. Let q be -2 - v*(-32)\/30. What is the closest to 2\/5 in q, 3, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 - (5 - (12 - 21)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-78))\/((-10)\/40)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -14585 + 14589. Let f(a) be the second derivative of -1\/24*a**p + 1\/20*a**5 + 9*a - 1\/2*a**3 + 0 + 1\/120*a**6 + 9\/8*a**2. Determine i so that f(i) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5748.461mm to meters.\nAnswer: 5.748461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + -9 + 2 - (-7 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 220456379.\nAnswer: 11, 13, 61, 127, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u - 3*u - u)*(-2 + 3 - 2) + (2 - 2 + 1)*(0 - u + 0) - 1179*u - 4237*u + 314*u.\nAnswer: -5102*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5967968, -11935956, -17903944, -23871932, -29839920, -35807908?\nAnswer: -41775896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13 + -13.64. Let v = z - -0.63958. Round v to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 7*v - 5. Let d be i(-4). Let p be 29\/d + (-2)\/(-6). Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -11*m**2 - 2. Let w(t) = -8*t + 0*t + 176*t**2 + 33 + 2*t + 6*t. Give 33*d(y) + 2*w(y).\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 14.2027 nanometers?\nAnswer: 0.0142027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 3*h + 16. Suppose -5*z = -2*r + 5704, -h*z + r - 2282 = -0*r. What are the prime factors of 1 + z\/(-14) + (-148)\/(-259)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9\/18*(-3 + -15)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/4*(4 - -10). Suppose 2*i = y*i - 50. Suppose 0 = -u + 30 - i. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5\/(-2)*-5*8\/(-20).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 - 2\/3*-3. Let f(n) = 488*n - 25. Let k be f(m). Round k to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from ssxjhhuhxuuhhu.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000061942 to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7040 - 6249. Calculate the remainder when w is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -39*u**4 + 144*u**4 + 23*u**4 - u + u**4 + u + (3*u**2 + 1 - 1)*(-2*u + 2*u + u**2) + (-4 - 3 + 6)*(5*u**4 + 0*u**4 - 4*u**4).\nAnswer: 131*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 56841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 2*u + 3*u + 82230 = 0, -u + 49338 = 3*h. Does 43 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -100 (base 5) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -23*t + 72. Determine h(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -32, -0.3, -2, -2\/65, -0.7, 1\/7, 5?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 140 divide 742420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/296 and 143\/1776.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 101.766913 + -101.651. Let p = l - 0.116. Round p to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -0.4, -13\/28, -4\/3, -2\/7.\nAnswer: -4\/3, -13\/28, -0.4, -2\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 35011950 a multiple of 368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -74862, -0.057 in ascending order.\nAnswer: -74862, -8, -0.057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (111\/(-6) + 3)\/((-14)\/(-28)). Let l(h) = -11*h + 50. Let n be l(c). What is the highest common factor of n and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rccccrrrrrrcrrrrrrrr. What is prob of sequence cr?\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 23*l + 34*l - 957 + 273 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 105\/(-7)*(-1)\/(-3). Let j(m) = m + 1. Let y(u) = -u - 2. Let z(l) = f*j(l) - 4*y(l). Let s be z(0). Solve s*w - w = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 260*x + 2080 = -300*x + 520*x. Which is smaller: -74 or x?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -78937688, -157875374, -236813060, -315750746, -394688432?\nAnswer: -473626118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/(-10))\/(-2)*2\/2*138\/8832?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) be the second derivative of -y**5\/5 + y**3\/6 + y**2\/2 + 3*y. Let s be n(-1). Let d = s - 1. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10950)\/171 - ((-22260)\/855 - -26) - (-1 - 8).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0 + -4. Let o = -131 - -161. Let p = h + o. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (-128986)\/(-44)*(6 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2496*l**2 + 2*l + 2. Let y(n) = 2*n**2. Let p(t) = u(t) + 4*y(t). Let a be p(-1). Is a - (0 - 4\/(-20))*5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 * 184619818\nAnswer: -184619818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6310 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = p**3 + 4*p**2 - 5*p + 4. Let j be d(-5). Suppose -j*o - 5 = -13. Let u = -4 + 7. Solve -b = -4*a + u*a - o, 0 = -3*a + 5*b - 12 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) be the second derivative of 1\/15*u**6 + 0 + 0*u**2 + 0*u**5 - 39*u + 11\/6*u**4 + 0*u**3. What is the third derivative of w(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -250 = -2*w + 92. Suppose 4*v + 3 = w. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*b**2*u**2 + 3*b**2 - 2*b*u**2 - 139*u**2 wrt b.\nAnswer: 12*b*u**2 + 6*b - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -7 and -0.0512239.\nAnswer: -7.0512239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -365 + 377. Solve 2*o = -4*o + r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 1. Suppose 0 = -3*t - 6, 0 = k + 2*t + 4 + 5. Let a(j) = 4*j + 2*j - 7*j + 7. Let q be 0\/(-2) + 1\/1. Calculate k*o(w) + q*a(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1103*i - 1106*i + 10 + 2207*i.\nAnswer: -2*i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-8)*154\/231?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (9\/(-6) + 1)\/(7\/(-966)). Let m = -57 + a. Calculate the lowest common multiple of 8 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -41\/25?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -13*u**3 + 14*u**2 + 361*u - 7. Let f(s) = 12*s**3 - 12*s**2 - 361*s + 6. Give -7*f(p) - 6*x(p).\nAnswer: -6*p**3 + 361*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 211200200 (base 3) to base 16\nAnswer: 409e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 98 + -79 + (-6 - -7) + -17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 374 minutes before 7:33 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does -1 = 62\/52535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j - 5*n = 2*j - 26, j - 2*n = 13. Let x be (-4)\/2*j\/(-26). Let u(k) = 16*k - 1. What is the units digit of u(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -13*h**2 - 852*h - 14041. Determine v(-32).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m + 7. Let b be g(-5). Let f = b - -6. Calculate the remainder when f is divided by 0 + -2 + 3 + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1317 = r - 4*d + 3442, -2*r + 5*d = 9512. Let o = r - -11530. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = 16*l + 1. Let r be z(1). Suppose -r = -w + 3. Calculate the smallest common multiple of 6 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + (0 + 9 - (-22 + 7 - -5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 579.932332 plus -5?\nAnswer: 574.932332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 33877 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/(l**(1\/8)\/l))*l*l\/l**4*l*l*l)**(2\/5) assuming l is positive.\nAnswer: l**(1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/1)\/((-20)\/8). Suppose 0 = 10*i - 30 - 10. Which is the second biggest value?  (a) 3\/5  (b) i  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3301?\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 215, 1749, 5905, 13997, 27339?\n\"Answer: 219*z**3 - 3*z**2 + 10*z - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 33*p + 602 - 2351. Calculate the remainder when 261 is divided by p.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.27503 + -0.22497. Let y = -4.3 - -0.3. Which is the biggest value?  (a) -3  (b) k  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(sqrt(11) + sqrt(539))*5 - (0 + sqrt(121)\/sqrt(11))**2*1)*6.\nAnswer: -240*sqrt(11) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**2\/11 + 10*k\/11 - 168\/11 = 0. Calculate k.\nAnswer: -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 + 1 = -2*h. Let a(j) = -5*j + 3. Let s(b) be the first derivative of -19 + 14 - 2*b + 0*b + 2*b**2. What is h*a(q) - 3*s(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 117 divide 13105999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.13430594782 rounded to five decimal places?\nAnswer: -0.13431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 PM and 7:16 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -18, -10, 48, 180, 410?\n\"Answer: 4*r**3 + r**2 - 23*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -2.7054069*-0.5\nAnswer: 1.35270345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-54*y + 49*y - 63*y + (1 - 1 - 1)*(4*y + 3*y - 5*y) - y + 4*y - 5*y + 5*y - 5*y - 7*y)*(0*y - 4*y + 2*y).\nAnswer: 158*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 29*m. Let c(k) be the second derivative of k**3\/6 - 147*k. Calculate c(x(d)).\nAnswer: 29*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8560362 is divided by 4219?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 20 (base 7) to base 8\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*q + 4*q + 8, -4*n + 4*q = 5444. Let h = n + 29941\/22. What is the common denominator of -43\/16 and h?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c990 - 3057?\nAnswer: -109e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express -26*h**2 + 26*h - 6*h**2 - 32*h as z*h**2 + s + d*h and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + -5 + 15 + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the second derivative of -w**3\/3 - 3497*w + 10. Let i(f) = 5 - 5 + 39*f**2. Determine i(s(l)).\nAnswer: 156*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 5*a + 21 = 0, 0*a + 2*a - 10 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.002 - -24.002. Let x be 2 + -1 + 1\/2. Which is the second biggest value?  (a) v  (b) -3\/7  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + 12*d + 22. Let a = -4 - 7. Let f be w(a). Solve 3*m = f + 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*r = 57*r + 27*r - 880 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22.64 - -25. Let t = b + -0.36. Let k = -610\/7 - -87. What is the third smallest value in t, -0.4, k?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-12)\/(-20)*(-1129)\/3. Let t = 225 + f. Which is smaller: t or 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 2*w - 2 + 7*w + 14*w - 11 + 10*w**2 - 7*w. What are the prime factors of i(-13)?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -108089\/5358 + 6\/893. Let g = -643789 - -3876071\/6. Let l = -2213 + g. Calculate the common denominator of l and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2561259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 574*p - 1878*p + 655*p + 482*p.\nAnswer: -167*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 0 + 8 + u**2 - 3 + 7*u. Let g be x(-5). Suppose b = -o - o + 9, -o = -b. Sort -4, g, o.\nAnswer: g, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 504113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = 1 + 4. Suppose 0 = -4*d + 13 - 109. Let o = i - d. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n + 9. Let u be x(6). Let p(f) = -u*f + f - 2 - 6*f + 3*f. Suppose 3*k = c + c + 20, 2*c - 4 = -3*k. Determine p(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2275\/(-350)*(-308)\/(-91).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y**3 - 32*y**2 - 15*y + 49. Let k be r(11). Solve 0 = m - 5*j + 23, -k*m = -m - 2*j + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41667 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*z**2 + 5*z**2 - z**2)*(25 - z**2 + 1 + 34).\nAnswer: 9*z**4 - 540*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*c + h - 2, -3*c - h + 19 = 0. Let f be -3 - c\/(-5 + 3). Sort f, 4\/5, 0.2 in ascending order.\nAnswer: 0.2, 4\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24222173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 4635 + 50813 = 2*o, 0 = 3*h + 4*o - 69263. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 26*h**2*v**2 - 4777*h**2 - 232*h*v**3 + 2*h*v wrt v?\nAnswer: 52*h**2 - 1392*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 3*d = -f + 86, 5*f = 4*d + 434. Calculate the highest common divisor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1.27 + 0.5\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7202 = 100*c + 2133 + 565 for c.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 7*t**3 + 17*t**3 - 26*t**3 + 14*t**3 - 2*t**2 + 7*t in the form w*t + z + v*t**3 + a*t**2 and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*a - 6*a + a)*(4 + 7 - 4) in the form m + x*a and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 - 8) + (-7 - (6 + (-18 - -4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -977701.9 and -26.\nAnswer: 25420249.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1127, 2254, 3371, 4472, 5551, 6602?\n\"Answer: -j**3 + j**2 + 1131*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.437 and 0.4.\nAnswer: 0.5748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:56 PM and 4:47 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 1535 divide 502548255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*(q\/(q*q*q**(6\/5)*q))\/q*q**0)**(-6\/11))**21)**(-29) assuming q is positive.\nAnswer: q**(-58464\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2112)\/sqrt(3) + (sqrt(99) - (sqrt(99)*-1 + sqrt(99))))*4.\nAnswer: 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + 1 + sqrt(425) + -2 + sqrt(425) + -2*sqrt(425)*-6 + (sqrt(425) + 2 + sqrt(425))*1*-4)*-6)**2.\nAnswer: -21600*sqrt(17) + 554400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -85 + 89. Solve 0*x**4 + 4*x**s + 8*x**5 - 8*x**4 - 9*x**5 = 0 for x.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-30)\/(-48) - 242\/484. Let f(m) = -m**2 - 6*m - 3. Let x be f(-6). Which is the biggest value?  (a) x  (b) 1  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**16\/(m*m**(-3\/25)\/m*m*m))\/(m**(-12)*((m\/(m*m**(-23)\/m))\/m*m*m)\/m) assuming m is positive.\nAnswer: m**(53\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54939?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 18 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, w: 2}. Give prob of picking 1 w and 1 n.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13 - -8) + (-1 - 4) - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 minutes before 5:23 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**13\/(t**4\/t))\/(t*t**(-6))**(2\/119))**(-50) assuming t is positive.\nAnswer: t**(-60000\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3f16 (base 16) to base 15.\nAnswer: 4bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12 - 8. Let k = -6 + 9. What is the second smallest value in -2, k, n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -160 + 93. Let n = 72 + s. Suppose -c + n*c - 196 = 0. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8.6 - 1.6. Let n = 7.22 - b. Let h = n + -0.52. Is 0.08 at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 10, 0.1, 57.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i = -3*v + 31, 2*v - 6 = -i - 4. Calculate the smallest common multiple of (-204)\/(-10) - (-4)\/(-10) and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {x: 4, a: 1, s: 1, l: 6, j: 5, w: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 0.16 * -10567\nAnswer: -1690.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -943 divided by 943.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide 8 by -83566.\nAnswer: -4\/41783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 + 1 = -4*u, -3*n + 5*u = -16. Let f be n\/(-1)*(-20)\/(-8). Suppose -5*i + 9 + 11 = 0. Sort i, 2, f in increasing order.\nAnswer: f, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 + 4 + 0)*(m + m - m) - 7 - 2 + 7*m + 2 to b + d*m and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.09 - -0.19. Let v = 303.7 + 21.3. Let p = -295 + v. Are p and x non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 119467*v + 15650173. Give u(-131).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (14*h - 1 - 4*h + 30*h)*(1 + 0 - 2) in the form v + x*h and give x.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p**2 + 3*p + 4. Let f be (-23 - -19)*(-10)\/(-8) + 5. What is t(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 8*a*l**3*n + 44*a*l**3 + 1094*a*l - 2*l**3*n - 3*l**3 + 7914097*n wrt a.\nAnswer: 8*l**3*n + 44*l**3 + 1094*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 3474 = 14*s. Does 60 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -10*b**3 - 12*b**2 - 9*b + 5. Let v be x(-10). Suppose -s + 3*n + 1775 = 6*n, v = 5*s + 5*n. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.2, 0.3, -378.5, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + 22*i - 18. Let u be n(-23). Suppose -3*w = -13 - u. Suppose -w*b - 236 + 704 = 0. Calculate the remainder when b is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 462 and 70158.\nAnswer: 491106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 16 = h. Let z(d) = -d**2 - 4*d + 4. Let g be z(-4). Let p be (-42)\/g*6\/9. Is p at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 119 = -2*v - 1311, -2*y + 596 = 2*v. Let k = y + -116. Let q = k - 49. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1440) - sqrt(1440)*-2 - sqrt(1440)) + (sqrt(200)\/sqrt(5))\/sqrt(4))\/(-2*sqrt(72)*2 + -5*2*sqrt(72))*4.\nAnswer: -25*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = a**3 - 2*a**2 - 4*a - 8. Let n be b(7). Suppose -251 = -5*x + n. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 60\/(-240) - 18117\/(-244).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 152 a factor of 1151300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3, k: 1}. Give prob of sequence aak.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 387\/308 - 1\/154. Let t = -27 + 14. Let q = -18 - t. Sort q, m, 0 in increasing order.\nAnswer: q, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*y**3\/13 + 74*y**2\/13 - 352*y\/13 - 6776\/13.\nAnswer: -2*(y - 22)**2*(y + 7)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20.13 + -20. Let o = m + -0.04. Let z = -2.05799 + 3.05799. Which is the third biggest value?  (a) -0.3  (b) z  (c) 2\/9  (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 138*v - 145*v + 14. Determine k so that -2\/3*k + 0 - v*k**2 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*r = 23 - 53. Suppose 5*d + r*x = 78 + 42, -4*d + 4*x + 96 = 0. What is the highest common divisor of d and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (8 + (-279)\/36)*1. Factor 0*d + 0 - t*d**2.\nAnswer: -d**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of y**6\/6 + 6*y**5\/5 + 3*y**4 + 10*y**3\/3 + 3*y**2\/2 + 146. Factor h(s).\nAnswer: s*(s + 1)**3*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 403232635 is divided by 218.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = 1860*x**3 + 12*x**2 + 6*x. Let c(t) = -3719*t**3 - 26*t**2 - 13*t. Calculate -6*c(n) - 13*s(n).\nAnswer: -1866*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-78)\/40*-9*26\/(-117)*2 - 0.\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6 and 9598272.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0.1*5990674\nAnswer: 599067.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20.2*-2.\nAnswer: -40.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 1350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/1670 or 1?\nAnswer: -3\/1670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 37 + -35. Suppose 2*s - x - 7 = 0, -18*s + 17*s + 5*x = 1. Solve -v*h - 17 = -3*a - 3*h, -s*a = h - 22 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - 5 - -4) + (-1 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*r**2 - 11*r**2 + r**2.\nAnswer: -19*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-26)\/(y**(1\/29)\/y) assuming y is positive.\nAnswer: y**(-726\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 584 - 358.6. Round z to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 214 + -309. Let z = v - -94.75. Is 2 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: ((-687735)\/(-56637))\/((-34)\/(-7))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -a**5\/2 + 3*a**3\/2 - a**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1178716 divided by 22\nAnswer: 53578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*v = 4*v - 135 - 704 - 997 for v.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -13. Let c(h) = -h**2 + 5*h + 2. Let o be c(d). Let z(r) = 2*r**2 + 5*r - 5. Let j be z(-5). Solve -3*x - o*x = -j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8675241.\nAnswer: 3, 503, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 4*u - 72. Let t = -7 + 11. Calculate the smallest common multiple of t and p(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.3 - -5. Let m = -3 + j. Let d be (-10)\/16 + (-1)\/(-1). Sort -0.4, m, d in descending order.\nAnswer: d, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30 + 7 = -5*d - m, 0 = d + 3*m - 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 542434703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.1031*-797999\nAnswer: 82273.6969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**3 + 4*f**2 - f - 3. Let q be w(-3). Suppose -2*c + q = -1. Suppose -d - d - 10 = 5*x, -x - c*d = 2. Is x at least as big as -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 17707, 2\/11, 0.4, -46, 4?\nAnswer: 17707","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a + 0*a = 5*c - 12, 2*a - 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 60 - 110055040?\nAnswer: -110054650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 26, -29, -84, -139, -194?\n\"Answer: -55*i + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 5 = d, -41*o + 15 = 4*d - 38*o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.242 and -5?\nAnswer: -6.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-62)\/(-90) - (-25)\/225\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/(-10) - 104\/(-10)) + -3. Let u be (-6)\/14 + 17\/s. Suppose -u*h = l - 269, -h + 3*l = -10 - 128. Is h a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 606 = -2*t. Suppose t - 978 = -2*y. Let q = -257 + y. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 68\/13869 and -34\/3015.\nAnswer: 69345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -12?  (a) 4  (b) -9  (c) 3  (d) -5  (e) 361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 196766057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 12730093 minus 349242?\nAnswer: 12380851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 6540 and 654.\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1)\/2)\/((-4)\/16). Is r\/(-6) + 74\/6 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -23263  (b) 0.2  (c) -0.03  (d) -3\/5  (e) -207\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -l**4\/4 + 90082*l**3 - 8114946886*l**2 + 32458706568*l - 32458346244 = 0.\nAnswer: 2, 180162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 60980138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, 0, 1, 7 in descending order.\nAnswer: 15, 7, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f**5 - 26750*f**4 - 1809886*f**3 - 1783138*f**2 = 0. Calculate f.\nAnswer: -13307, -67, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**2 + 8*k + 5. Determine q(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 164307498491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express h**3 - 3 - 4 - 4 + 6*h + 10 in the form n*h**2 + a + b*h**3 + x*h and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 167*i + 1533 + 1896 = 294*i for i.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8*3*5572\/(-83580).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6.99822 - 7. What is l rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 4, s: 1, t: 1, c: 5}. What is prob of sequence tcgs?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 102 and 108627178?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-15 + 23 + -7)*(-3 - (-10)\/3). What is the closest to 14 in h, -2, 0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2599 + -2.141536?\nAnswer: -2.401436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 4*t + 4*b - 3, 81*t - 9*b + 4*b = -61 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*m - 17 = 3*o - 2*o + 22*m, 5*m + 20 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1111001010 + -1111011100101?\nAnswer: -10001010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*z + 51*i - 48*i + 19, -2*z + 7 = i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 186597 and 33926099?\nAnswer: 6911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q**3 - 6*q**2 + 14*q - 9. Determine x(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 - -314048018?\nAnswer: 314048002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -3 + 56*s**2 + 3*s**3 + 2 - 51*s**2. Let t = -444 - -446. What are the prime factors of i(t)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u - 126 = -141. Let s be u\/(((-4)\/(-6))\/((-10)\/(-15))). Let r(f) = f**2 + 7*f - 4. Let o be r(-7). Sort s, o, -5, 2 in increasing order.\nAnswer: -5, o, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -54480 - -101207. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -2*z**2 - 7254*z - 1613163. What is u(-238)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 6 - 3. Let z = x + -1. Factor 1 - 28*l**2 - 20*l**2 - z - 5 + 33*l + 21*l**3.\nAnswer: 3*(l - 1)**2*(7*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -421 - 109 = -10*g. What is the remainder when 79 is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -594 = -41*o + 35*o. Let v(r) = r**2 + 4*r + 4. Let i be v(-5). Calculate the highest common factor of i and o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0, 1\/5, -2\/3, 3, -49?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0, 5, 49?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -13.274 - -12.274. Sort 3\/7, 0.5, m, 0.499 in ascending order.\nAnswer: m, 3\/7, 0.499, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*z + 1228*z**4 - 1227*z**4 - 20*z + 2*z**3 to the form f + v*z**2 + n*z**4 + i*z**3 + a*z and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/3*c - 4\/3 - 1\/3*c**3 + 1\/3*c**2.\nAnswer: -(c - 2)*(c - 1)*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -90.14 < -17354?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8.8 - -0.2. Let z = 25.44 - 26.44. Which is the third smallest value?  (a) p  (b) -1\/7  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - v = 3. Let w = -0.025781 + 1.025781. Which is the smallest value?  (a) -4  (b) -5  (c) w  (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 240146 is divided by 976?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -u**3 - 19*u**2 - 18*u - 1. Let x be z(-18). Let v = 9 + x. Solve 2*t = l, l + v*t - 3*t = 7 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00016675 rounded to six decimal places?\nAnswer: 0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1229 = 3*s + 5*a - 1258, -3*s - s - 6*a = -42 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 14c34d (base 14) in base 11?\nAnswer: 455838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 4*u + 3. Let p be y(-3). Let r = 22 + -19. Let t = r + -5. What is the closest to 0 in 5, t, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 98 = 7*z + 14. What is the remainder when 24\/16*208\/z is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11*t**2 + 5*t**2 - t**2 - 10*t**2 - t**2.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 6212 = -4*r, 8*r + 15530 = 5*m + 6*r. Let c = -2181 + m. What is the hundreds digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2223*b**2 - 3301*b**2 + 6*b**3 + 1714*b**2 as i*b**3 + m*b + c + g*b**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.04 minus -0.46470660878?\nAnswer: 0.50470660878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -0.053087, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (0 + -1)\/((-3)\/12). Let l = -3 + z. Suppose 0 = q - 9 + 4. Sort -5, l, q in decreasing order.\nAnswer: q, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 310\/234719 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -103689138*m - 101778516 wrt m.\nAnswer: -103689138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, b: 3, f: 1, o: 3, t: 2, s: 3}. What is prob of picking 1 b and 1 t?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 13*i - 321. Give f(13).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-41)\/(-164) - 7\/12. Sort o, -0.27, -0.5 in ascending order.\nAnswer: -0.5, o, -0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 522561257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 + 43 = 5*u. Let o = u + 46. Let f = -67 + o. Put -2, f, -3 in increasing order.\nAnswer: f, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m**3\/7 - 31344*m**2\/7 - 10325625*m + 51495329202\/7 = 0. What is m?\nAnswer: -5507, 566","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 810416 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6327267539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oocoooc.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -g + 4*g - 12*g + 7*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/4 of a milligram in micrograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 26 - -b0?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/(-56)*(3 - -3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.4 + -25.4. Let v = 20.7 + g. Which is the closest to 8?  (a) 4  (b) v  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 s when two letters picked without replacement from fvfcfvs?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -7*u + 64. Let w = 1363 - 901. Suppose 12*p = p + w. What is the greatest common divisor of p and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*a**3*n**6 + 64*a**3*n**3 - 23*a**3*n**2 - 60*a - 2*n**2 wrt n.\nAnswer: -1800*a**3*n**3 + 384*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 1517993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 565, -109, -529 in increasing order.\nAnswer: -529, -109, 565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 30067501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1371.8 - 1372. What is the closest to 1\/4 in 0.04, r, 0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1\/374044387 + 304418642670623\/13465597932. Let n = 22611 - q. Find the common denominator of n and 32\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**2\/i**(-1\/4))**(2\/21)*((i\/(i\/i**(-2))*i)\/(i**(2\/11)\/i))**(-2\/85) assuming i is positive.\nAnswer: i**(2861\/13090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) -11  (b) -2  (c) -48  (d) -3\/40  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3657*l - 80*l**2 + 7702*l + 92*l**2 - 4045*l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -22*t - t**3 + 42*t - 19*t + 5*t**3 wrt t?\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide 3247097046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -a70 (base 12) in base 16?\nAnswer: -5f4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 153 + -144. Solve h = 3*u - p - 0, 3*h + u + 7 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-4)\/(-22) + -15 + 3208\/22 is divided by 46?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 73645.58 centimeters?\nAnswer: 736455.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 2*o**2 + 50*o + 14. Let h(g) = -2*g**2 - 51*g - 16. Calculate -2*h(d) - 3*m(d).\nAnswer: -2*d**2 - 48*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 188 is divided by (28 + 0)\/(22\/(-165)*-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 12 = -13. Suppose -s + 2400000 = 4*v, -8*s + 12000000 = -3*s - b*v. What is s rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -79195, -316775, -712739, -1267087?\nAnswer: -1979819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 3 + sqrt(1053) + -2 + 5 + -3)**2.\nAnswer: 36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*q - 458 = -378 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*a - 20*a - 105*a + 25*a + 19*a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 5*v**3 - 4*v**2 - 4*v - 6. Let j(o) = 11*o + 93. Let i be j(-8). Let x(s) = -6*s**3 + 5*s**2 + 5*s + 7. Determine i*u(f) + 4*x(f).\nAnswer: f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 837 + -832. Sort 0.1, v, 2\/13, -1 in decreasing order.\nAnswer: v, 2\/13, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -309 smaller than -308?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -123\/11392420 and 2\/6265831?\nAnswer: 125316620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 666 is divided by 644.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (7155\/954)\/((-2)\/(16\/6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 7216.891 years?\nAnswer: 7.216891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 317 divide 33007332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4179 + 20087. List the prime factors of t.\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -212*l + 210*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m**2 + m - 4*m + 3*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4 and -30429.867.\nAnswer: -30429.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 14*m - 11. Let s(g) = g**3 + 5*g**2 - g. Let l be s(-5). Is d(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 560717474 to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t**3 - 8*t**2 + 2*t - 11. Let f be z(8). Suppose -3*w + 470 = -562. Suppose -f*h - 302 = -2*b, 5*b - 469 - w = -2*h. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 208*w**3 - 661*w**3 + 146 + 217*w**3 + 214*w**3 - 146.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28.966 - 29. Let y = o - 4.966. Let k(t) = 2*t**3 - 2*t**2 - 2*t. Let l be k(2). What is the second smallest value in -2\/7, l, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5252002 (base 7) to base 14\nAnswer: 127372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31 - ((-6)\/(-2) - 1) is divided by (-1)\/(2 + 0)*(4 - 36)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -15*w - 210. Calculate z(-2).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3176762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - q + 96 = 0. Suppose -4*z - 28*z = 96. What is the units digit of 32\/q + (-209)\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 86292714.22 and -3.\nAnswer: 86292711.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -52*z**2 - 1. Let p(w) = -11*w**2 + 17*w - 34. Let i(t) = 52*t + 62*t + 4*t**2 + 0*t**2 + 12 - 120*t. Let n(y) = -17*i(y) - 6*p(y). What is q(n(u))?\nAnswer: -208*u**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1409 divided by 4.\nAnswer: 1409\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1938 and 33972.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 44457866 and 40523.\nAnswer: 2178435434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = -4*r - 2, 2*r + q = 3 + 1. Let k(p) = -p - 2. Let s be k(4). Let y = s + 12. Calculate the least common multiple of r and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**24*a*a\/(a*a*a*a**(-18)\/a)*a)\/(a**(-2\/37)\/a)**(1\/2) assuming a is positive.\nAnswer: a**(3221\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4043, -4042, -4041?\nAnswer: -4040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1406 - 1377?\nAnswer: -2783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -659, -1312, -1973, -2648, -3343, -4064?\nAnswer: -4817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 41, -3, -10.\nAnswer: -10, -4, -3, 0, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence auau when four letters picked without replacement from {u: 6, a: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 134537 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1\/6 + -1\/2. Let p be (1\/(-3))\/((-2)\/4). Let q = 1527.5 + -1528. What is the nearest to s in -5, p, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 135*g**2 + 14*g + 44. Is l(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i + 248. Let n be x(0). Let o(k) = k**2 - 5*k. Let q be o(6). Suppose -7*t = -q*t - 31. What is the greatest common divisor of t and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -406288, -812319, -1218098, -1623625, -2028900, -2433923, -2838694?\n\"Answer: 126*d**2 - 406409*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 0.5, 43.3, -0.3 in descending order.\nAnswer: 43.3, 0.5, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 3 - 4)*(2 - 7 + 1)*(-3*x**3 + 1 - 1 + (-3*x**2 - 3*x**2 + 0*x**2)*(-2 + 2 + x) + 3*x**3 + 2*x**3 - 4*x**3) as d + h*x**2 + t*x + z*x**3 and give z.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1979 + 1920. Which is the nearest to -13?  (a) 0  (b) -4  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-36 + 3*w + 22 + 3*w)*(3 + 3*w - 4*w - w).\nAnswer: -12*w**2 + 46*w - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/3838 and 121\/1010?\nAnswer: 19190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 330598 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -3, 5, 31353?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rrwrwxr. Give prob of sequence rxwr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v - 8. Let r be n(11). Let y = 7 - r. Suppose a - 70 = -4*a + 4*z, y*a + 2*z - 30 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 330  (b) 10  (c) -0.023  (d) 0.138  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j**5 - 8*j**4 - 28*j**3 - 16*j**2 = 0. What is j?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 125*h**2 - 1. What is the units digit of m(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -9*i. Suppose -8*w - 263*w + 27*w + 11468 = 0. Let t(l) be the third derivative of 0*l - 1\/3*l**4 + 0 + w*l**2 + 0*l**3. Determine x(t(c)).\nAnswer: 72*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*k + 598172 + 1826779 + 1867435 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 * -291\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 2, c: 3, z: 1, a: 1, h: 4, v: 1}. What is prob of sequence za?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -3281\/9 + 365. Put c, 0.5, 4\/5 in ascending order.\nAnswer: c, 0.5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 335834 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -v + 30. Suppose 16 - v = 4*l. Let x(s) be the second derivative of s**4\/3 - s**3\/6 - s**2\/2 - 4*s. What is x(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2409 - 4812 - 2571*t + 2403 + (2 + 1 - 4)*(3*t + 2*t - 6*t).\nAnswer: -2570*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 197\/120120 and 83\/241670?\nAnswer: 20300280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7543 * -0.00076.\nAnswer: 5.73268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*m**4 + 7*m**4 - 3*m**4 + (2 - m - 2)*(0*m + 0*m - 2*m**3) + m**4 - 3*m**4 - 10*m**4 + 0*m**3 + 0*m**3 - 2*m**4)*(-2*m - 6 + 6).\nAnswer: 20*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -1, -37, -24, -5 in descending order.\nAnswer: 4, -1, -5, -24, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 400859.\nAnswer: 400859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*j**2 + 103 - 115 - 41*j**2.\nAnswer: -2*j**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 8. Is (1 + x)\/(2\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*k + 15 = -6*k. Let q(j) be the first derivative of k - 3*j - j**2 - 1\/3*j**3. Calculate q(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -3*m - 2*u, -10 = 5*u. Let o(h) = 4*h**2 + h**2 + h**m - 4*h**2. Let c(l) = -2*l**2. What is c(o(x))?\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is eight sevenths of a week in minutes?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -10.964*0.04916\nAnswer: -0.53899024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3384)\/(-56) - -1*(-4)\/(-7) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 PM and 3:10 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h + h + 20. Let c(r) = 2*r**2 + 5*r - 7. Let n(a) = -4*a**2 - 11*a + 15. Let k be (-1 + 0)*-3 + -14. Let b = k - -2. Give b*c(y) + h*n(y).\nAnswer: -2*y**2 - y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 92497 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5709*a*j**3 + 25*j**3 + 13*j**2 - 6*j wrt a?\nAnswer: 5709*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 6.3  (b) -2\/7689  (c) 1\/2  (d) -16  (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 5 + 34472?\nAnswer: 34477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -37, -30, -11, 26, 87, 178, 305, 474?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00054548 to 5 decimal places.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -1123*y - 92. Is q(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 65342967*n - 53443185.\nAnswer: 65342967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 82565 and 337.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6*(-2)\/(-8)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((-49)\/35)\/(-7)*-2\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -3 + 92 + (3 - 1). Suppose -2*w = -265 + p. Is w a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 108\/(-24) + (-28)\/(-56)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -97.429 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -20.7 - -22. Let y = g + -1.3. Let n = 5 - 5.4. What is the nearest to y in -4, n, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -155, -360, -619, -926, -1275, -1660, -2075?\nAnswer: -2514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000000963740371 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -10.9  (b) 5  (c) -2  (d) -969\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -4*z - 14. Let o(b) = -b - 3. Let q(i) = 14*o(i) - 3*s(i). Let l(a) = 2*a - 761. Give q(l(j)).\nAnswer: -4*j + 1522","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh smallest value in 148308, -0.4, 0.5, -10, -1\/6, 0.1, -3\/2?\nAnswer: 148308","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**3 - 23*v**2 + 27*v - 40. Is 22 a factor of l(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 5658*y**2. Let l(x) = -4*x**2. Calculate l(z(f)).\nAnswer: -128051856*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -124151.671 to the nearest 1000.\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -109 and -4.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -504.4+-21975120\nAnswer: -21975624.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 z and 2 w when four letters picked without replacement from {w: 2, z: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 227*i + 11. Let j be z(4). Let b = -588 + j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 205334 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 634, 644, 666, 706, 770?\nAnswer: 864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 250 = 2*t, 4*a - 270*t + 271*t - 251 = 0. What is the smallest common multiple of 747 and a?\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -b - 4. Suppose 4*g = t - 29, -4*g - 3*t = 12 - 3. Let q be n(g). Let j = 6 - q. Calculate the least common multiple of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 7 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2846041.\nAnswer: 11, 43, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(90)\/(sqrt(5) + -3*-2*sqrt(5)))\/(sqrt(27)\/(sqrt(3)*-1)*2).\nAnswer: -sqrt(2)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1197 and 252?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 273.9356333 rounded to 1 decimal place?\nAnswer: 273.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3)\/(-2) + -1)*0. Let x(b) be the third derivative of -b**4\/24 - 3*b**3\/2 + b**2 - 44277. Determine x(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1357 divided by 15.\nAnswer: 1357\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -159, -317, -475, -633, -791, -949?\n\"Answer: -158*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1964, 4175, 6420, 8699, 11012, 13359?\n\"Answer: 17*n**2 + 2160*n - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 26, -1695, -15, -5.\nAnswer: -1695, -15, -5, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/2  (b) -4  (c) 0  (d) -1\/876  (e) -2  (f) 2.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 d, 1 x, and 2 a when four letters picked without replacement from {d: 1, a: 2, x: 1, b: 2, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (35 - -4) + (-65 - -149) + 2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w - 1. Let z = -58 + -75. Let h = 76 + z. Let d be 19\/h + (-4)\/(-3). What is j(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pvj when three letters picked without replacement from evjrjfp.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22150*f + 68862 = 44070*f - 22419*f for f.\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11772?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 4*y = 166, -s + 12*y - 8*y + 59 = 0. Let n = s - 73. Suppose -5*o + 28 = -o. Solve -5*r - 10 = 2*j, -n*r + o = -j - 5*r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1099512924 divided by -3\nAnswer: 366504308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 2 = 6. Let p be c + (28\/(-8))\/7. What is d in -3*d**2 - 3\/2*d**5 - p + 7\/2*d**4 - d**3 + 5\/2*d = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 23 + -15. Suppose -5*h - q = -9*h. Suppose -h*j - 22 - 2 = -5*x, -15 = -5*j. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 4873532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -7aa98a + 4?\nAnswer: -7aa986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/59)*c**(-2\/29)*c)\/(c\/(c*c**(-1))*c\/((c*c**(1\/6)\/c*c*c)\/c)) assuming c is positive.\nAnswer: c**(1351\/10266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ikxikkvzvkivivvx. Give prob of picking 2 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 741 + -215?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(1300) + 0 + -5 - (sqrt(1053)*-1 + 3 + (4*sqrt(1053)*1 - sqrt(1053)))**2) + -5.\nAnswer: -4231 - 78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 36 + -35.9. What is the nearest to 0 in -1, y, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1\/24*(-8)\/(-212))\/(2\/24)\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(3) + 1)*5 - sqrt(21)\/sqrt(28))**2 - sqrt(9)\/((sqrt(120)\/sqrt(4))\/sqrt(10)))*5.\nAnswer: 220*sqrt(3) + 1715\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 288027, 288039, 288065, 288105, 288159, 288227, 288309?\n\"Answer: 7*a**2 - 9*a + 288029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + 4 + (2*1*sqrt(6) + 2*sqrt(6)*-2)\/(sqrt(18)\/(sqrt(294) - -2*sqrt(294) - sqrt(294))) + 2.\nAnswer: -28*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -j. Let w(z) = 10*z + 5. Let x be w(-5). Let r be (-248)\/(-18) - 10\/x. Let n(o) = 3*o. Give r*u(f) + 4*n(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 70542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 70 and 9319625.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 5*u = -40, -5*u - 5 = m - 5*m. Sort m, -1, -5.\nAnswer: -5, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9 + -13. Let u = -0.1 + 1.1. Suppose -236*d - 4470 = 658*d. What is the biggest value in d, u, -1\/5, z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 65052.251 rounded to the nearest 100?\nAnswer: 65100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ttttnntttntttt. What is prob of sequence tt?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3967887 + 3968469 = -97*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**3 + 3*g**2 + 2*g - 1. Let d be a(4). Let c = d + 25. Solve -2*r - 2*n = -3*r - 8, 3*r - 4*n + c = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1788500 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145 = 15*h - 185. Is 8 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, -81, -155, -267, -429, -653?\nAnswer: -951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of -167*a**3\/2 + 60*a - 3. Let l(d) = -d. Give c(l(h)).\nAnswer: 501*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -444  (b) 1  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (71*j**2 - 9*j**2 + 20*j**2)*(-4 + 3 + 4)*(648 + 22*j - 648) in the form c*j**2 + i*j + m + n*j**3 and give n.\nAnswer: 5412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 224505774.85 - 4.\nAnswer: 224505770.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -58*k**2*l*u**3 - 32*k**2*l + 2*k*l - l*u**2 + 3 wrt u.\nAnswer: -174*k**2*l*u**2 - 2*l*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-10)\/(-3)*(-6)\/(-5). Let t(o) = -k*o**2 + 6*o**2 - o**2. Let g(f) be the first derivative of -f**2\/2 + 2. Give t(g(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.02, 2\/5, 0.3, -0.3, -11.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-8)\/(-1) + -2)\/1. Suppose 0*n + y = n. What is the greatest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -10*i. Let r(y) = 34*y + 14. Let t(d) = 5*d + 2. Let w(x) = -r(x) + 8*t(x). Determine w(l(g)).\nAnswer: -60*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 - 5*p**2 - 6*p. Let l be o(6). Let g = l + 0. Let r = -0.12 - -0.02. Which is the second biggest value?  (a) -2\/19  (b) r  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**3 - j**2 - j - 8. Let d be m(-5). Let l be -7 - -4 - -5*d. Suppose 0*x + 4*s = 5*x - 454, 5*x + 3*s - l = 0. What are the prime factors of x?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1713*w**3 + 3429*w**3 - 1811*w**3.\nAnswer: -95*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-15*q**2 - 16*q + 8*q + 5*q + 2)*(9 - 19*q**2 + 2*q**2 - 8) to the form r + x*q**3 + a*q + o*q**4 + v*q**2 and give x.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of -1\/3*t**7 - 19\/12*t**4 + 0*t**5 + 0*t**2 + 0 + 0*t**6 - 9*t + 0*t**3. Find the third derivative of s(y) wrt y.\nAnswer: -840*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2423 + 2423. Solve i = -r + 15 - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*c - c - 4*c)*(12 - 94 - 38) + (c + 0*c + 0*c)*(0 + 2 + 0))*((2 - 3*c - 2)*(-6*c + 6*c + 5*c**3) - c**4 + 0*c**4 + 2*c**4).\nAnswer: -5068*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/18 - 10\/(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*b - 2*c - 12, -6*b = -b - 2*c - 17. What is the third biggest value in b, -4\/7, 2\/3, -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w - 3 = 4*h, -2*w - 18 = -4*h - 0*h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s - 5*j + 4 = 0, 0 = -2*s + 7*j - 2*j - 12. Which is the biggest value?  (a) 1\/9  (b) -1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 21*r**2 - 27*r - 97. Let a be k(-22). Suppose -a*t = -6*t - 980. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -287658 + -68\nAnswer: -287726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*z - 376 = -22*z. Let b(s) be the third derivative of 7*s**5\/60 - 5*s**4\/12 + 7*s**3\/3 + 5*s**2. Is b(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r*r\/r**1)*(r*r\/(r*(r**(-2\/9)*r)\/r))\/r)\/(r**(-4)*r**(-7)) assuming r is positive.\nAnswer: r**(101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 769271649?\nAnswer: 3, 256423883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46 = -5*f + 4*k, 5*f - 3*k = 2*k + 45. Sort -5, -1, f.\nAnswer: -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - 37*u**2 - 134*u + 4. Calculate p(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 4*o**2 - 12*o - 211. Calculate j(10).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 86239.79ml to litres.\nAnswer: 86.23979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6 + 11\/((-7)\/21*3). Which is the second smallest value?  (a) 3\/17  (b) 5\/2  (c) g  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3189*f**2 - 7463.\nAnswer: -6378*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -m**3 + 2*m**2 + 133*m + 22. Determine p(-13).\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 38*j - 2 - 22*j - 17*j + (3*j + j - 2*j)*(-6 + 2 + 2) - 2*j + 2*j + 2*j.\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -2*x**4\/3 + 1580*x**3\/3 + 8*x**2 - 18992*x\/3 + 25280\/3 = 0.\nAnswer: -4, 2, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (3\/(-9))\/(2\/(0 + -222)). Let i = 40 - l. Solve -i*v - 11 = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 12:46 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27328214 divided by 334.\nAnswer: 81821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -15 + -30?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 293111398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 86056\/(-2082)*(-1848)\/868\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-3)*(-15)\/12. Let k = -2 + 2.6. Let s = -0.9 + k. Put i, 2\/23, s in decreasing order.\nAnswer: 2\/23, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 32 + -23. Let v = n + -6. Solve -y - y = -3*d - 6, 9 = -v*d + y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 - (-42 - (-13 - (24 + -21))) - 21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (1 + -5 + (-2 - -11)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 24*-0.2335455\nAnswer: -5.605092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2)\/4 - (-9)\/36. Put -1\/2, 4, r in decreasing order.\nAnswer: 4, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 2*d - 7*w - 29, -21 = -3*d + 3*w. Solve 9 = d*u + 23 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/35*10\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (-55)\/210 + (-2 - (-22)\/12)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -472.6 times -138?\nAnswer: 65218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n**2 - 28*n - 63. Let u be g(30). Which is the third biggest value?  (a) u  (b) 10\/53  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 65\/26*((-1)\/(-75))\/(16\/144).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0  (b) 4  (c) -7\/8  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/((-726)\/84))\/((-2)\/44*24).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n - a + 5*a - 1 = 0, -n - a + 9 = 0. Suppose 0 = -o - 0 - n. Let t(j) = -j**3 - 4*j**2 + 6*j + 7. Calculate t(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 54?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -581*f - 99. Let r(v) = -578*v - 99. Let d(q) = 7*c(q) - 6*r(q). Find the first derivative of d(y) wrt y.\nAnswer: -599","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = o**3 + 11*o**2 - o - 7. Let y be z(-11). Let i be (y\/(-18))\/(4\/(-48)). Factor 0 + 8*h**2 - 6*h**3 - i*h.\nAnswer: -2*h*(3*h - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22140 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - h + 5*h + 8 = 0, -g = -2*h + 3. Let i be ((-7)\/(-2))\/((-135)\/20 + g). Solve 2*b = -2*c - i, 4*c - 2*b + 21 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from veoeoevo. What is prob of sequence eeve?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -620, -707, -846, -1031, -1256, -1515?\n\"Answer: d**3 - 32*d**2 + 2*d - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 34644 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2*b**2. Let h(u) = -u - 3. Let s(k) = -3*k - 16. Let o = -251 - -241. Let a(v) = o*h(v) + 2*s(v). What is x(a(q))?\nAnswer: -32*q**2 + 32*q - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add 1 and -7265.\nAnswer: -7264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 54088, 107894, 161700, 215506, 269312, 323118?\nAnswer: 376924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1613\/77784 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-4\/17)\/h)\/h*((h*h**(-10)*h)\/h)\/h)\/(h**3\/h)**(9\/4) assuming h is positive.\nAnswer: h**(-569\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 62*n + 1290 = 49*n - 116*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -76 = -11*l + 23 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 4, m: 10}. Give prob of picking 3 m.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6953889 is divided by 65?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 - -3)*3 - -5 - 2. Which is bigger: 2\/809 or s?\nAnswer: 2\/809","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -24 + 33. Suppose -6*j - 3*n = -3*j - o, j + 1 = 3*n. Solve -5*v + m = -j*m - 34, -8 = -v + m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fsefssesse. Give prob of sequence sef.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 3, h: 1, r: 4, j: 4, c: 1, q: 2}. What is prob of sequence hj?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/(-4)*16\/(-10). Let g be p\/64*-2*-1. Let u be (-3 - -5)\/((-8)\/(-16)*4). Which is the closest to u?  (a) -4  (b) 0  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-30 - -26) + (3 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -33 - -36. Suppose -8 = -0*h - 2*h. Solve -h = -5*g + c, -v = -g + 3*g - 5*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = t + 59, 0 = -5*h - 5*t + 209 - 84. Calculate the remainder when 78 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16766 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8772, 8574, 8376?\nAnswer: 8178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 8233168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 4746739 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) be the third derivative of j**5\/60 + j**4\/6 + j**3 - 22*j**2. Suppose o = -2, 3*k = -2*k - o - 212. Let s = -46 - k. Determine u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -10*y**3 - 2*y**2 + 6*y - 4. Calculate p(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14 - (5\/(-10)*6 + 7). Suppose 28 = -k*q + 78. Solve 0 = -q*b - 25, -4*u - 1 = b - 0*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/373?  (a) 7  (b) 4\/3  (c) -3\/5  (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*k = 87*k + 3*k + 1408 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.708 + 8.708. What is the fourth biggest value in -3, -1, v, -0.3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 9*d - 5*d. Solve 6*n - 4*n = o + 10, -5*o + 2*n - 10 = d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 194 - 17*b**2 - 194 to the form n + p*b**2 + l*b and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 15274908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*b = -15*b - 35. Let m be ((-11)\/b + (-15)\/75)*1. Solve m*g = 3*g + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -416.9657 + -0.0343. Let s = 477.8 + a. What is s rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0126616 rounded to 4 decimal places?\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 25112 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 40*u**4 + 3265587*u**2 + 62681*u - 4972 wrt u?\nAnswer: 480*u**2 + 6531174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = b**2 + 2*b + 3. Calculate q(5).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 828*m**4 - 4960*m**3 + 9888*m**2 - 6528*m - 64 = 0. What is m?\nAnswer: -2\/207, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*b - 3669 + 6852 + 6917 = -186*b for b.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -104831.981 to the nearest one thousand.\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 4*u. Suppose 86 = 5*s + 3*f - 124, -3*s + 112 = -f. Let w(q) = -42*q - 1 + s*q + 1. Let h(i) = 5*v(i) + 7*w(i). Determine h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -106 divided by -2\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m\/(m*m*m**4\/m))**45\/(m**(-19)*m*m*m**(-2)*m) assuming m is positive.\nAnswer: m**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -34.15*0.5\nAnswer: -17.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -330 + 189 - 21*f + 180.\nAnswer: -21*f + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 194395775 greater than 194395775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 48855017101 from -5084.\nAnswer: -48855022185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000592478 rounded to 5 dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 336842796?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 0. Suppose -20 + 4 = -2*r - a*c, -3*r = -c - 10. Is r greater than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kuk when three letters picked without replacement from {u: 3, k: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 5 - 336*y + 333*y + (-1 + 4*y + 1)*(1 - 4 + 7).\nAnswer: 13*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 499074*-0.04.\nAnswer: -19962.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*y + 656 + 246 = 0. What is the remainder when y is divided by 25 - (1 - (-2 - -1))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = 28*w. Let n(u) = -13*u + 9. Let l(f) = -2*f - 7. Let d(o) = 3*o + 8. Let h(p) = -5*d(p) - 6*l(p). Let j(i) = -18*h(i) + 4*n(i). Calculate b(j(q)).\nAnswer: 56*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 13) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -85 + 162 - 77 - 11*f.\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-p + 4*p - 4*p)*(-5*p - 2*p - 2*p) + 0 - 2*p**2 + 0 + 15*p + 5*p**2 - 15*p + (-p**2 - 3*p**2 + 3*p**2)*(0 + 3 - 1).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 19 = -2*w + 142, m = -w + 54. Suppose -w*p = -47*p - 1400. What is the least common multiple of p and 55?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -524 bigger than -555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1)*l)**(-1\/5))**(-5)\/(((l*l**3*l*l)\/(l**(3\/4)*l))\/(l\/l**(-5)*l**4\/l)) assuming l is positive.\nAnswer: l**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -14 - (-3 - (10 - -4)) - (-2 + 27)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -5*p**2 + p + 1. Let f(n) = -60*n**2 - 4*n - 127. Let r(m) = f(m) + 4*i(m). Differentiate r(l) with respect to l.\nAnswer: -160*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -94 - 0 - ((-16 - (-4 - 11)) + 9)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 40 - 12 - 38)*(0*p + 2*p - 2*p**3 + 2*p).\nAnswer: 186*p**3 - 372*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9210 + 9256 - (127 - 1).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -45.21.\nAnswer: -9.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 76 minutes after 1:58 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 981808469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 587*v - 1918*v + 1332*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r**4\/3 + 482*r**3\/3 + 179614*r**2\/3 + 1877146*r + 1817436 = 0. What is r?\nAnswer: -177, -34, -1, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.082 + 0.482. Which is the third smallest value?  (a) 4  (b) 0.5  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 38 - 34. Solve 3*n + 9 = 4*w - w, 2*w + s*n = -18 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, -5490 in increasing order.\nAnswer: -5490, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -1 - (374\/362 - 2). Let f = h + -2263\/2715. Let t = f + -652\/165. What is the common denominator of 7 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 22758884 by -2.\nAnswer: -11379442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -m + 285375. Let u be ((-195)\/(-3))\/(3\/2775). Let a = u + m. Round a to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(3\/5)\/(((((v\/v**(-2\/9))\/v)\/v)\/v)\/v) assuming v is positive.\nAnswer: v**(152\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -25 - -26. Let l = -6.3 + 6. Which is the second biggest value?  (a) l  (b) 2\/11  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2504179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000087704666 to seven decimal places.\nAnswer: -0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 1011 (base 2) to base 13\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 35, 355, 687, 1037, 1411, 1815, 2255?\nAnswer: 2737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 141915 + 220?\nAnswer: 141b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 77 minutes after 9:50 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 59242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s**4 + 6*s**4 + 0*s**4 + (-s - 4*s + 2*s)*(-1 - 3 - 2)*(-3*s**3 + 2*s**3 + 0*s**3) in the form b*s**3 + m*s**2 + v + q*s + l*s**4 and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 16114 and 16?\nAnswer: 128912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-2)\/(-5) + (-4)\/10. Suppose -4*k + 3*k + 13 = i. Calculate the greatest common factor of 39 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 0 + (-4*(sqrt(343) + (1 + sqrt(343) - sqrt(343)) + sqrt(343) - sqrt(343)) + sqrt(343))**2 + -4.\nAnswer: 168*sqrt(7) + 3096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -214887, -215570, -216253, -216936, -217619, -218302?\n\"Answer: -683*h - 214204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 5, 1, -543, -1 in ascending order.\nAnswer: -543, -8, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 1052*q - 110. Let u be g(-5). Is (u\/25)\/((-4)\/10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 20 + -4. Calculate the least common multiple of x and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.1 + 0.6. Suppose 0 = 3*r - 2*r - 2. Which is the third biggest value?  (a) 0.1  (b) r  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 136935, 0, 16\/7, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -14 - (-3 + -10 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 459382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -11 - 5. Let c be (-4)\/10*10\/y. Let f(o) = o - 6. Let i be f(6). What is the closest to i in 2\/11, -0.3, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -5*t + 39. Let y = 19 - t. Factor -35 + y*q**2 + 35.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 591 = -2*b - 775, 4*n = -b - 149 for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/3, -16\/7, 0.56 in descending order.\nAnswer: 0.56, -4\/3, -16\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(-2))\/d)\/d*d*d**(-11))\/(d**(1\/9)\/(d\/(d**(-1\/6)*d))) assuming d is positive.\nAnswer: d**(-161\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, -2, -0.11, 1, 71 in descending order.\nAnswer: 71, 1, -0.11, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 - 1)*(-3*l**4 - 3*l**4 + 5*l**4) + l**2 - l**2 + 2*l**4 + 11*l**4 - 3 + 3.\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -10.6 - -11. Let p = 17 + -14. Which is the closest to -0.1?  (a) -1\/4  (b) h  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the first derivative of 0*p**2 - 1\/6*p**4 + 0*p**3 + 2 + 2\/15*p**5 + 0*p. Solve g(z) = 0 for z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -4*b - 3. Let j be a(4). Let o = j + 38. Let k(i) = i + 3. Let c be k(0). Solve 3*u + o = 5*u - c*g, 0 = 5*u + 2*g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 - p**2 + 3*p + 239. What is the hundreds digit of c(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*((3*sqrt(1331) - sqrt(1331)) + sqrt(1331))*1 + 1)**2.\nAnswer: 198*sqrt(11) + 107812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 90*h + 3950. Calculate l(-44).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -49202, -197003, -443350, -788249, -1231706, -1773727, -2414318, -3153485?\n\"Answer: -k**3 - 49267*k**2 + 7*k + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8\/817 - 59954\/51471. Calculate the common denominator of 101\/2 and d.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -613*x**4 - 808*x**2?\nAnswer: -14712*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -290719 times 5?\nAnswer: -1453595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l**2 - l + 4. Let c be x(0). Suppose 0 = c*n + 4*s - 16, 2*n = 4*n + s - 7. Solve 8*v = n*v - 25 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:01 AM and 12:35 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z = -3 + 17, 0 = 7*b - 2*b - 44*z - 583 - 33 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2478888*m + 69874 = -2477761*m for m.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 54931, 54935, 54939, 54943, 54947, 54951?\nAnswer: 54955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) be the first derivative of f**4\/2 + 3*f**3 + 9*f**2\/2 + 390. Let n(s) = -s**3 + s**2 + s. Give -18*n(j) + 2*v(j).\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 74*g**3 - 273*g**2 - 108*g + 55. Calculate x(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 743, 744, 745, 746?\n\"Answer: l + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8858\/9 + -984. Let a = 4 - 3.8. What is the nearest to -3.4 in 5, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 27 and 324?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 2*q - 46. Give u(26).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a**2 + 9*a + 4. Let u be w(-5). Let s be (-36)\/u - 6\/(-8). Let k be (-3 - -2) + 27 - s. What is the greatest common divisor of k and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2542877.\nAnswer: 17, 101, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 277*z - 63*z + 86*z + 23400 = 0 for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -190, -8, -84, -9 in increasing order.\nAnswer: -190, -84, -9, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -63739 + 63743. Let t = 17 + -12. Suppose -t*l = -l - 264. Calculate the least common multiple of o and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12 (base 12) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -755*l - 10610. What is p(-14)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 116289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4*(-2 + -2*(1 + (sqrt(200) - sqrt(200)*-2))))**2*-4.\nAnswer: -2309120 - 153600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 3\/16  (c) 94\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1062 divided by -9.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 206327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of -3 and -0.8.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2778825 and 383575?\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 36611.31ug in milligrams?\nAnswer: 36.61131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.52 - -1.53. Let a = -1.05 + 1. Let z = a + t. What is the third smallest value in z, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h = 3*d - 6, 5*d - 6*h - 10 = -2*h. Suppose 0 = -7*j + d*j + 20. Suppose j*w = 3*w - 4*u - 1, -13 = -4*w + u. Solve 3*p - w = -6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 9:46 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1399*k - 45*k**3 + 1399*k + 43*k**2 wrt k?\nAnswer: -270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**2 - 216*a - 8529. Calculate x(-34).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4230 - -14014400?\nAnswer: 14010120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -143113*i - 103345 wrt i?\nAnswer: -143113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2850561152.\nAnswer: 2, 22270009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.74 - 1.32. Let s = 5.42 - x. Let i(n) = n + 3. Let q be i(-5). Is s equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -81*d**3 + 5*d + 6 wrt d?\nAnswer: -486*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13998\/(-2333)*(1 - (3 - 100\/56)).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 6518 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -2014 + 4102?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 288*q - 292*q - h + 849, -5*q + h = -1050. Calculate the remainder when q is divided by 86.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -5*3\/(-45)*9 + 687?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -5*g - 2. Let i(o) = o**2 + 6*o - 2. Let n(f) = 2*f. Suppose -v - 6*l - 9 = -4*l, -2*v - 3 = -l. Let h be n(v). Let x be i(h). What is a(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c + 4*c = 8. Determine f so that c*f**2 - 293*f + 2*f**2 + 305*f = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.820223276 to 2 dps.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000014 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*o**2 + 25*o**2 + 19*o**2 to u*o + p + m*o**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*s**4 - 48 + 48 + (4*s**4 - 11*s**4 - 12*s**4)*(3 - 4 + 0) + (-2*s + 2*s + s**3)*(-3*s - s + 3*s) + 2*s**3 + s**4 - 2*s**3.\nAnswer: 24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 547999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9 - -16 - 13) + (-1 - 13 - -3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 5*p**2 - 10. Let m(k) = -k**2 + 1. Let z(u) = u**3 + 27*u**2 - u - 26. Let i be z(-27). What is i*v(n) + 6*m(n)?\nAnswer: -n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -896423, -896424, -896425, -896426, -896427?\nAnswer: -896428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 - 33*i + 38. Let q be (3 - 1) + -2 - -32. Let z be v(q). Solve -z*r + 2*r = -12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -1c?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 32 - 45. Let q = 17 + p. Which is the second biggest value?  (a) -1  (b) q  (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*a**3 + 9454903*a + 54165475 with respect to a.\nAnswer: 12*a**2 + 9454903","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*x - 60 = 0, 6*u - 5*x + 4 = 7*u. What is the remainder when 1333 is divided by u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -6*x + 11. Let g(b) = -8*b + 11. Calculate 6*a(k) - 4*g(k).\nAnswer: -4*k + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 8.324291 years?\nAnswer: 0.08324291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -5*f**5 - 225*f**4 - 1505*f**3 + 11865*f**2 - 18290*f + 8160 = 0?\nAnswer: -34, -16, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 49917449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r - 50 + 10. Let z(b) = 48*b - 18. Let j be z(-2). Let t = 114 + j. Solve -r + 18 = 3*s - 2*a, 3*s - a - 11 = t for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -4 - 221555?\nAnswer: -221561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -102649*26\nAnswer: -2668874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 937116580?\nAnswer: 2, 5, 46855829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4383126.\nAnswer: 2, 3, 11, 47, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-10)\/(z*z**(-8))*(z\/z**2*z)**9)**32 assuming z is positive.\nAnswer: z**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y**(-1\/10)*y)*y**1\/y)**(10\/17)\/(y**(2\/13)\/y**(-1\/4)*(y*y**(-1\/4))**(2\/33)) assuming y is positive.\nAnswer: y**(-3797\/9724)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 504 and 5376.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -22976, -22977, -22978, -22979?\n\"Answer: -i - 22975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 259, 153, 35, -101, -261, -451, -677?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8 - 2*z + 15 - 17.\nAnswer: -2*z - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(960) - (sqrt(960) - (3*sqrt(960) + sqrt(960))) - ((sqrt(15) - sqrt(60)\/sqrt(16)) + sqrt(15)))\/((sqrt(192)*-1 + sqrt(192))*5 - sqrt(192)*-1*2).\nAnswer: 61*sqrt(5)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*g**2 - 1 + 1 + (-86 + 33 + 23 + 28)*(-14*g**2 - 12*g**2 + 28*g**2) to the form v + p*g**2 + r*g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1937582?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -8\/5  (b) 8  (c) 0.5  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**2. Let k(u) = -16*u. Calculate k(o(f)).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 PM and 3:08 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 32 = -g, -6*r = g - 0*g - 58. What is the smallest common multiple of 278 and 72\/3 + (-5)\/(25\/r)?\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**2 + 34. Let k be x(-5). Solve 3*w = b + 8*w - 9, 0 = -3*b + 3*w - k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(152) + -1*sqrt(152))*2 + (sqrt(152) - (sqrt(152)*1 + sqrt(152)))*-2)\/(sqrt(40)\/(1*sqrt(5)) - (sqrt(288)*2 - sqrt(8) - sqrt(8))).\nAnswer: -2*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 861 is divided by 174.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = 3*w**2 - 270*w - 13. What is j(89)?\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - -3. Let s = 26975 + -26974.99. What is the smallest value in b, 0.5, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cpjcpcpcajjjjjvjam. What is prob of sequence pja?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -z + 9*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 n and 1 j when four letters picked without replacement from njujnzdjzjjjnzu.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 122487342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 17, -4, -43, -106, -199?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 9 by 39.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 47.73456308 to one dp.\nAnswer: 47.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 11*l. Let w be f(2). Suppose -4*p = -110 + w. Calculate the greatest common factor of p and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10110110000101 (base 2) in base 11?\nAnswer: 8834","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 + 6. Let x(k) = -5*k**3 + 9*k**2 - 18*k - 2. Let h(z) = 9*z**3 - 18*z**2 + 35*z + 6. Let a(v) = 6*h(v) + 11*x(v). Give a(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 9728 and 2584?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 33158?\nAnswer: 2, 59, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 2*y**2 - 7*y + 27. Calculate the least common multiple of 44 and j(3).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/28 + (-27)\/7. Let x = k + 17. Let m be (-7*7\/((-196)\/96))\/2. Is m smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 3*b + 61. Let l be s(-22). Let x(d) = 3*d**2 - 3*d - 2. Let y(q) = -q**2 + q + 1. Determine l*y(u) - 2*x(u).\nAnswer: -u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 310449 - 120003 = -37*y. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 294 + -295. Let s be -2 - (-4)\/((-192)\/(-1210)). Let t = s - 70\/3. Which is the closest to y?  (a) -2  (b) t  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10012321 - -31?\nAnswer: 10013012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -125 - -135. Let g(f) = -5*f - 11 + s*f - 4*f. Determine g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 335215 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1740, -3355, -4844, -6207, -7444, -8555?\nAnswer: -9540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/18 - (-41713)\/(-3780). Let a = g - -1\/135. Calculate the common denominator of 73\/4 and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -112739*y**3 + 26109*y**3 - 184140*y**3.\nAnswer: -270770*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 - 8 = -w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12225*i**2 + 12307*i**2 - 24541*i**2.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2193.\nAnswer: 3, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(18)*-2)**2 + sqrt(4)\/(sqrt(4)\/sqrt(2) + sqrt(2)).\nAnswer: sqrt(2)\/2 + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m + 39 = 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2\/(-24) + (9\/(-3))\/12. Let x = 0 - h. Which is the nearest to -1?  (a) 1  (b) x  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/(-15) + (-2)\/(-24). Let x(l) be the first derivative of 3*l + 0*l**3 + 2 - u*l**4 + 0*l**2. Find the first derivative of x(a) wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -2*v. Let q(g) be the third derivative of 13*g**5\/60 + 11*g**2. What is q(k(w))?\nAnswer: 52*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -63113911?\nAnswer: -63113911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -176 + -21. Let g = -88 - s. Suppose 3*c = -r + 40 + 5, 3*r = 4*c + g. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 236538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lllwwlll. Give prob of sequence lww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/8, -4, -2\/7, -51 in decreasing order.\nAnswer: -2\/7, -3\/8, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - 16 = 4*t, 5*t - 8 = 9*t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ltlf when four letters picked without replacement from lfftlkl?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(330)\/(sqrt(10)*2))\/(sqrt(21)\/sqrt(63)) + -4 + (sqrt(11)*2 + 3 - sqrt(11) - -2*sqrt(539)))**2.\nAnswer: -33*sqrt(11) + 11983\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -318 (base 10) to base 2.\nAnswer: -100111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -12891444 greater than or equal to 4.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:58 PM and 5:50 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17845501 - -25945501. What is t rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003843 to five dps.\nAnswer: -0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*y + 69*y + 42*y to the form w*y + m and give w.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of ((-105)\/(-10))\/((-7)\/(-24682))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*f + 19 = r + 20*f, 6*r + 46 = 2*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3142.681 rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-5)\/2*6\/(-5). Let s = 11 + -7. Suppose -x + 24 = -u*t + 7, 4*x - 68 = s*t. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14 + -134311?\nAnswer: -134325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42682197 is divided by 14227396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (150\/(-20))\/((-13950)\/1488)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 962589 is divided by 2865.\nAnswer: 2814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:44 PM and 6:34 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 556100 is divided by 185295?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 10*k**2 - 2*k**2 + k**3 + 2*k**2 - 2 + 5. Let h be v(-10). Which is the second smallest value?  (a) h  (b) 0.2  (c) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 0*d**2 - 2\/3*d**4 - 1\/6*d**5 + 0*d + 0 - 1\/2*d**3 = 0. What is d?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16171 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -52*x - 685. Let t(j) = -12*j - 171. Calculate 2*f(p) - 9*t(p).\nAnswer: 4*p + 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h**3 + 5*h**2 - 4. Let w be z(-3). Find the common denominator of 4\/w + 636\/(-70) and 70\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -5*g**2 - 9 + g**2 - g**2 + 13*g - g**3 + g. Let c(h) = -h**2 - h + 1. Let f(x) = 3*c(x) + t(x). What is the remainder when f(-10) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -12185179*x**3 - 9747667*x.\nAnswer: -73111074*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 1. Let x(z) be the third derivative of z**4\/24 + 8*z**3\/3 + z**2 + 132. Calculate 6*q(i) + x(i).\nAnswer: i + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -3*h - 34. Let y be m(-21). Suppose 8 = 31*x - y*x. Suppose -2*u + 4*o + x = -7*u, -4*u = 3*o + 4. Which is smaller: -22\/5 or u?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -497\/27 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3840*q + 212 - 1280*q - 1279*q - 1282*q - 16.\nAnswer: -q + 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1325*l**2 - 331640*l - 97500.\nAnswer: -5*(l + 250)*(265*l + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 640*s - 59915 = 119*s for s.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Do -8656062 and -8656078 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 83, 167, 251, 335?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 - -5. Let r = 5178\/11 + -467. Calculate the common denominator of h\/15 + (-266)\/(-12) and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 2*a**2. Let p(q) = 2275456*q**2. Calculate k(p(s)).\nAnswer: 10355400015872*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -7*i + 6. Let x be w(3). What is the units digit of (-2 - 4*x)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 7231 + 1247 = 0. List the prime factors of n.\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -23*n**3 + 12*n**2 + 17*n + 20. Let p(m) = -8*m**3 + 4*m**2 + 6*m + 7. Give 17*p(d) - 6*z(d).\nAnswer: 2*d**3 - 4*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12020211010120 + 2?\nAnswer: -12020211010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-70)\/(-12))\/5*9. Let w = n + -10. Let k = 16928 + -16930. Put 0, w, k in ascending order.\nAnswer: k, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-2*sqrt(1008))**2*-4.\nAnswer: 80640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.9 - -6.9. Let n = 4 - d. Let s = 11354 + -11357. Which is the third smallest value?  (a) n  (b) s  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1\/3)*y)\/(y**(-6)*y))\/((y*(y*y*y**0*y)\/y*y)\/y**3)*((y**(-1)*y)**(2\/55))**(-2\/115) assuming y is positive.\nAnswer: y**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 at most 897\/26374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12)\/((90\/(-80))\/(5\/(30\/9)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1215 - 131515?\nAnswer: -133134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (q - 4*q + 6 + 2*q)*(-1 - 4*q**2 - 3*q + 3*q) as o + h*q**2 + g*q**3 + s*q and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - -4 - (-2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22633861*a**5 - 3122999*a wrt a.\nAnswer: -452677220*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 8026, 64348, 217216, 514900, 1005670, 1737796, 2759548, 4119196?\n\"Answer: 8045*r**3 + 3*r**2 - 2*r - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -m**3 - 11*m**2 - 2. Let s be t(-11). Let x be (-39)\/(-6)*-99 + s. Let j = -5095\/8 - x. What is the common denominator of j and 35\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -39*h + 34*h = -3*c + 20, 5*c + 2*h = -8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4305 and 30?\nAnswer: 8610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*s + 19*s - 24*s - 424186 = 0. What are the prime factors of s?\nAnswer: 41, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 6915, 6918, 6921?\n\"Answer: 3*g + 6912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -5*m**3 + 23*m - 23. Let p be j(1). Let z = 22.7 - 19. Let t = z + 0.3. Which is the fourth smallest value?  (a) 0  (b) p  (c) t  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5\/3, -4, 30, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 31*h**4*n**3 + 305791*h**4*n - 5233*h*n**3 - 4*h*n - 3*h - 46*n**3 - n + 1 wrt h?\nAnswer: 372*h**2*n**3 + 3669492*h**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.15 + 2.85. Let v = -94\/3 - -31. Sort 1, x, v.\nAnswer: v, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y\/(y\/(y*y**(2\/71)))*y*y**10 assuming y is positive.\nAnswer: y**(854\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -35*w**2\/8 - w\/2 + 1\/2.\nAnswer: -(5*w + 2)*(7*w - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 392 a factor of 305368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 16*n + 19. Let t(c) = -c**2. Determine t(y(a)).\nAnswer: -256*a**2 - 608*a - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((-847)\/(-22))\/(350\/25)\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*v**4 + 2*v**4 + 3*v**4 + v**2 + 2*v - 3*v to i*v**3 + t + c*v**2 + o*v + h*v**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 - 18. Suppose o = 21*d - 283 + 52. What is the remainder when 37 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 1\/8  (b) 6.9  (c) 2  (d) 1\/17  (e) 0.1  (f) -4\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 251287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12454, -24907, -37360, -49813, -62266?\nAnswer: -74719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*n**2 + 8*n**2 + n**3)*(194 - 1084 - 2886) to l + i*n + r*n**3 + b*n**2 and give r.\nAnswer: -3776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1548500257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3827*k - 3 - k**2 - 1910*k + 3 - 1908*k.\nAnswer: -k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 640539.3 nanometers?\nAnswer: 640.5393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4\/3, -0.5, -6515?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that 2*h**2\/3 + 81242*h\/3 - 81244\/3 = 0.\nAnswer: -40622, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**4 + 3*u**2 + 2*u.\nAnswer: -u*(u - 2)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4786692594 to the power of 1\/4, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*2\/24*180*(-224)\/(-226800).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/(-1 - (-4 - -2)). Let v be ((-2)\/(-6))\/(y\/(-3)). What is the first derivative of -v - w**2 - 3 + 3 wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1421, 1422, 1423, 1424, 1425, 1426?\nAnswer: 1427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 3*u = 8, -4*v + 2*u - 35 + 19 = 0. Sort 3, -213, v, 1 in descending order.\nAnswer: 3, 1, v, -213","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 39\/16 and (-50)\/24*(-5 - (-83)\/16).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 545.992km?\nAnswer: 545992000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the third derivative of -x**4\/8 + x**3\/2 + 3*x**2. Let t be u(3). Let l(n) = -n**3 - 4*n**2 + 6*n + 7. What is the units digit of l(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let g(n) = 2*n + 0*n - 3*n - n. Let v be 10\/(2\/(2\/(-2))). Let h = -10 - v. Give g(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/(1 - -2 - 5). Suppose -3*l = -3*u + 21, 0*u = -u + 3*l + 15. Suppose r = s + u*p, -s - p + 25 = s. What is the remainder when 44 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/(23\/46*-9*1)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = k + 19. Determine x(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-9*l + 12*l - 22*l - 15*l)*(-10 + 6 - 3).\nAnswer: 238*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express -1760*r**2 - 1713*r**2 + 5898*r**2 + 6832*r**2 in the form w*r + a*r**2 + p and give a.\nAnswer: 9257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 68838*o*r**4 - 325*o*r**2 + 741*o*r wrt r.\nAnswer: 1652112*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 148*h + 14. Let q be p(14). Suppose -3*o - 4*o + q = 0. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.089 - 4.089. Let l be 9\/(-30) - 1\/2. What is the smallest value in -0.4, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2565 is divided by (-1070)\/20*((1 + 0)*-1 - 1).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -162 times 3\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in thirteen quarters of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 144*j - 145*j + 25 = -5*p, 0 = -6*p - 4*j - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p + 4. Let r(g) = -g - 3. Let l(x) = -5*h(x) - 6*r(x). Let c be l(6). Let t = -2 + c. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 12:37 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 5362 a factor of 124776801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -u**3 - 7*u**2 - 11. Let l be f(-8). Suppose -l = -3*p - 2*c, -3*c + 5 = 2*c. Which is bigger: p or 15?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p - 240 = -4*p + 4*z, -p - z = -50. Find the first derivative of 15*f - p*f - 44 + 17*f wrt f.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 759642953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1\/1)\/(1\/21))\/(9\/6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37 - 35. Let x(l) = -4*l**n - 24*l + 4 + 0*l**2 + 3*l**2 + 17*l. Determine x(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/16604 and -37\/216?\nAnswer: 896616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.089, 0.1, 16 in decreasing order.\nAnswer: 16, 0.1, -0.089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*z + 164*z = 210 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 16 - 43 = 0. What is the smallest common multiple of 30 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 6\/5, 0, 664955?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 x when two letters picked without replacement from bfssxsxfs.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + 1c6?\nAnswer: 1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 15 - 88?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c + u - 2 + 19, -5*u = -2*c + 19. Let r be c + 3 + (-1 - 106). Let k = -531\/5 - r. Is 2 less than or equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**2 + 15*q - 45. Let u be b(11). Let i be (-4 + u)\/(6 + -5). Let m be (-4 + 0 - -26)\/(-3 - i). What is the highest common divisor of 297 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*z - 2*z - 108. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4627744.89626 less than -19?\nAnswer: 4627725.89626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 2*b + 4. What is a in -4*a**4 + b*a**5 + 4*a**4 - 2*a**4 = 0?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uoud when four letters picked without replacement from uouuoooudodouo?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 5*f - 1 = -2*z, -3*z = 4*f - 8. Find j, given that -4\/3*j**2 + 0 + 14\/3*j**3 - 2\/3*j - 8\/3*j**z = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -49*x**3 + 5*x**2 - 5*x + 1. Let c = -21 + 17. Let s(v) = -48*v**3 + 4*v**2 - 4*v + 1. Let g(b) = c*s(b) + 3*m(b). What is the tens digit of g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -232\/3 - -76. Let l be 5\/(-20) + (-23)\/(-12). Which is the third smallest value?  (a) 5  (b) d  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 342\/(-18) - (-3 + -6*(-4)\/(-8)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4695 and 1396582130.\nAnswer: 1396586825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -5*z**2 + 5*z + 3*z**2 + 3*z**2. Let u(s) = -10*s - 6. Let l be u(-1). Let r(m) = m. Determine l*c(f) - 22*r(f).\nAnswer: 4*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 656245 to the power of 1\/2, to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*3*sqrt(18))\/(2*sqrt(54)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(2\/15)\/(c\/c**(-6)))\/((c**17\/c)\/c*c**0) assuming c is positive.\nAnswer: c**(-328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*a**4 + 289*a**3 + 2*a**2 - 309*a wrt a.\nAnswer: -48*a + 1734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 7\/14*(-13)\/((-52)\/(-8))*13.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*(p\/(p*p**3))\/p)**(-2\/143)\/(p**9*p**(-3\/5)) assuming p is positive.\nAnswer: p**(-5976\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -175, -161, -123, -49, 73?\nAnswer: 255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s + 152 = 5*u + 133, -4*s + 5*u = 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 0, -31, 3 in ascending order.\nAnswer: -31, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -241 - -244. Solve -a - 1 = 5*t + 11, t = k*a - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1375814387?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -112.2 - -108. Is f < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 304\/1672*(-11)\/(-15)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*k - 7*k = 8. Sort 7, k, -3 in descending order.\nAnswer: 7, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4.031 and -1.1?\nAnswer: 5.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225 is divided by 142?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1260389?\nAnswer: 13, 96953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/2 - 205\/10. What is the remainder when -41*8\/n + (-4)\/10 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -45\/22 and -131\/144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 15*k. Let w(g) = g - 2*g**2 + 6*g - 7*g. What is s(w(u))?\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 26880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2*0.10015\nAnswer: 0.2003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/3420 and 137\/2724?\nAnswer: 776340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 716*f + 821. What is the hundreds digit of n(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 128 - 126. Solve 0 = -h*v - 0*v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -1 - h**3 + 288*h**2 - 222*h**2 - 95*h**2 + 0. Calculate y(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -2*n**3 + 2*n**2 - 2*n + 2. Let i = 18 - 7. Let u = 10 - i. Let z be u + 3 - (0 + 0). Determine q(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*r - 4*b + 22, -4*r - 2*b + 37 = 39 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((5\/(-75))\/(75\/1350))\/(18\/960)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -261 = 3*u - 360. Calculate the remainder when 41 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (4\/2)\/((-3)\/(-48)). What is the highest common divisor of 8 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 5, 12, 31, 68, 129, 220, 347?\n\"Answer: v**3 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of 0*r**6 + 0*r**5 + 2*r**2 + 2\/3*r**3 + 0*r + 0*r**4 - 1\/70*r**7 + 0. Find the first derivative of y(t) wrt t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -0.1  (b) -10\/31  (c) 5  (d) 23  (e) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 4  (b) 209  (c) 1\/4  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of y**6\/48 + 3*y**5\/40 - y**4\/8 - 2*y**3\/3 + 2*y - 17. Find o, given that d(o) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -w. Let d(x) be the first derivative of x**5\/60 - x**3 - 4. Let i(n) be the third derivative of d(n). Give i(g(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7.2 - -26.8. Let l = q - 34.3. What is the biggest value in l, 4, -2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 3:41 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0 - g + 0 + 0*g + 3*g - 4*g + (2 - 2 + 2)*(-g + 2*g + g) + 5*g - 3*g - g - 4*g + 0 + 5*g - 1 + (2*g - 3*g + 7*g)*(0 - 1 + 2) to j + q*g and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 71*y + 4. Let i(t) = -5*t**2. Calculate i(a(g)).\nAnswer: -25205*g**2 - 2840*g - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -2061975 divided by 27493?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 0.45, 24, -0.2, -2\/9, -17, 8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 - x**2 + x + 1. Let o(d) = d**4 + 6*d**3 - d**2 + 3*d + 3. Let b(p) = 3*c(p) - o(p). Factor b(i).\nAnswer: -i**2*(i + 1)*(i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 3*l + 363, -104 = -3*u - 3*l + 109. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*d + 3*g + 24, 2*d + 1 = -5*g - 11 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 925?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(-2\/5))**(1\/21)\/(s*s*s**(1\/2)*s**7) assuming s is positive.\nAnswer: s**(-1999\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 11 + 3 = -3*g, 2*g - 7 = -f. Suppose -5*l - 2*i + 1841 = 0, -f*i + 12 = -i. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*x**4 - 5*x**4 - x**4 + 4*x**4 + 4*x**4 - 2*x**4 + 2 + 2*x**4 - 2 + (5*x**2 + x**2 - 4*x**2)*(3*x**2 - 6*x**2 + x**2).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1783274 and 557312?\nAnswer: 1597813504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vhwwhlvhhhvhzzl. Give prob of sequence vw.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-13*h - 474 + 474 + 18*h + 66 - 66 + (2*h - 3 + 3)*(-4 + 2 + 1))*(-3*h**3 + 3*h**2 - 3*h**2) as y*h**3 + r*h**2 + w*h + f + z*h**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -1226\/5915 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/90 + 47\/90 - 2\/15\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 5*p - 10. Suppose 0 = f - 0*f. Suppose 2*h + 5*m - 70 = 0, 5*h + 4*m - 192 = -f*m. Calculate the greatest common factor of h and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 200 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 9*h + 174 = -6. Solve 0 = h*n + 18 + 54 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 605496742 to the nearest integer?\nAnswer: 846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 33, 1, -9, -3, -60 in ascending order.\nAnswer: -60, -9, -3, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the third derivative of t**5\/60 + 13*t**4\/24 + 5*t**3\/2 - 59*t**2. What is k(-13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 8, v: 2}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1175 a factor of 231825717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-5)\/p**0*(p**5*p)**(-5\/12) assuming p is positive.\nAnswer: p**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 + j + 4. Let m be b(3). Let z be 2\/6*(-30)\/m. Is (-4)\/(-10) - (-233)\/z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.2 and -1757195?\nAnswer: 1757195.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:29 PM and 10:57 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7461 and 441.\nAnswer: 365589","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = s**3 + 43*s**2 - 15*s - 10. Let g be c(13). Suppose g = 22*o + 3209. What are the prime factors of o?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 5*k + 53. Let j(d) = 21*d + 225. Let x(b) = 2*j(b) - 9*o(b). What is x(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llzz. What is prob of sequence zz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 2*o = 20, 0 = 5*t - 4*o + 21 - 66. Let c be 2\/((-10)\/(-15)) + -38. Calculate the smallest common multiple of t and (-390)\/c - (-1)\/(-7).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -138*b**2 + 2*b + 2. Let u be n(-1). Round u to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 20 + -6. Let c = m + -11. Let i = -371 + 373. Sort -4, c, -5, i.\nAnswer: -5, -4, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -91*v - 3 - 9 + 5 + 13 in the form b*v + u and give b.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 32137308 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5138242?\nAnswer: 2, 43, 59747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -2*z**3 + 0 - z**2 + 2*z + 4 + z**3. Let x be f(-4). Suppose -j = 3*j - x. List the prime factors of j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3*(-1 + 5\/3). Let a(c) = 3*c**2 + 13*c - 18. Let k(l) = l**2 + 2*l. Let v(t) = a(t) - k(t). What is the tens digit of v(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-24)\/(-108) + (-266)\/(-18). Solve -3*k - 4*o - 1 = 0, k = 3*o + 2 + b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0\/((15 - -6) + -23))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2527.060087 - 2527. Round o to 4 decimal places.\nAnswer: 0.0601","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*x - 12*x - 15*x in the form s + m*x and give m.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of o**4\/4 + o**3 - 203*o**2. Calculate f(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the first derivative of 756*d**5\/5 + 147*d + 884. What is the derivative of q(a) wrt a?\nAnswer: 3024*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1730413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 4182*a - 2089*a - 2095*a. Let i(o) be the first derivative of 7*o**4\/12 - o - 1. Let p(n) be the first derivative of i(n). What is j(p(f))?\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 944 and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (45\/(-180))\/((-1)\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 17*z**3 - 15*z**2 - 22*z - 17. Let p(h) = -9*h**3 + 7*h**2 + 10*h + 8. Let d(r) = 6*k(r) + 13*p(r). Let f be d(1). Is -1 + (-6 - -3) - f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-17)\/153 + 2\/(-6). Sort 1\/9, -82, h.\nAnswer: -82, h, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t\/((t**(-2\/5)*t)\/t)))\/t)**(-7\/9) assuming t is positive.\nAnswer: t**(49\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((m\/(m*m\/(m*m**1))*m)**(-11\/5)*(m*m**1\/m)**40)**(-23))**(-48) assuming m is positive.\nAnswer: m**(196512\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 170*((-65)\/10 - -6). Let t = j - -183. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -218, -961, -2408, -4733, -8110?\n\"Answer: -29*d**3 - 178*d**2 - 6*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 132  (b) -1\/6  (c) -1  (d) 2\/2889  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 1274580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -45*s**5 + s**3 + 1544*s**2 wrt s?\nAnswer: -2700*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 12*b - 2 + 0 + 0. Let w(f) = -6 + 26*f - 7*f - 18*f. Let n(x) = -2*x + 13. Let v(s) = 6*n(s) + 13*w(s). Determine -o(y) + 10*v(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2*1)\/(3*(-7)\/(-399)). What is the first derivative of -4*t + 27*t**2 - 26*t**2 + g*t + 6*t + 8 wrt t?\nAnswer: 2*t + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*l**2*x + 98*l**2 + 29*l - 34*x**3 - 843*x**2 + 4 wrt x.\nAnswer: 2*l**2 - 102*x**2 - 1686*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqaaaaaqaaq. What is prob of sequence aaaq?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 654*w - 376*w + 24464 = 0 for w.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3828775952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) be the second derivative of -41*p**5\/20 + p**4\/12 - 11*p**3\/3 - 104*p. Find the third derivative of f(a) wrt a.\nAnswer: -246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 11*k**2 + 4*k - 4. Let f(o) = 275*o**2 + 99*o - 99. Let v(x) = -30 - 2 - 78 + x. Let g be v(11). Give g*b(c) + 4*f(c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0 - 2)*(606*j**2 - 243*j**2 + 192*j**2)*(-2 - 2 + 5).\nAnswer: 1110*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2262*u - 14 = -2260*u - 4*o, -2*u = 5*o - 85. Let l(s) = -s. Let m be l(-5). Solve 0 = -m*j + 35 - u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 398 minutes before 3:00 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c**4\/5 + 6*c**3 - 142*c**2\/5 + 186*c\/5 - 76\/5 = 0 for c.\nAnswer: -19, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 n when two letters picked without replacement from {x: 3, a: 4, g: 1, n: 2, k: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -13612 and 46?\nAnswer: -626152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that r**4\/8 - 89*r**3\/2 + 15663*r**2\/4 + 15931*r\/2 + 32041\/8 = 0.\nAnswer: -1, 179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2  (b) -0.1  (c) -5  (d) 7  (e) -107  (f) 108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2300, -2300, -2310, -2336, -2384, -2460, -2570, -2720?\nAnswer: -2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dqdqdqd. What is prob of sequence dq?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = g**3 - 6*g**2 + g + 12. What is the smallest common multiple of f(6) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1162054 (base 9) in base 11?\nAnswer: -3a1397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2343 - -69.25?\nAnswer: -2273.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes after 3:05 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*q + 18*q = 846. Let v = 154 - q. Suppose -68 - 3780 = -v*c. List the prime factors of c.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 8 = 2*t, 3*d + 19 = 7. Solve 5*x + 4*u + 9 = 0, 2*u + t + 3 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 14) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 9:43 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 - 20 = -7*n. Suppose n*v - 8 = v. Suppose -3*i - 4*s = -90, -i + v*s - 28 = -2*i. Is 35 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (92 - 144 - -54) + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*a**3 + 0*a**3 + 5*a**3 + 0*a**3.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of -t**7\/14 + 12*t**6\/5 - 144*t**5\/5 + 128*t**4 - 125*t. Find q such that n(q) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = -0 + 4. Let t = 8 + q. Solve -t*x = w - 6, -4*w + x - 8 = -w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -10 + 7 + 2 - -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2  (b) 1\/3  (c) -2\/536709\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes before 2:10 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5240 - 10?\nAnswer: 5230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -44 = r - s - 46 + 2, -5*r - 49*s = -270 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 61399 + -61398.939774. Round a to four decimal places.\nAnswer: 0.0602","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 113530845?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -0.104967049?\nAnswer: -0.524835245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43486, 174107, 392052, 697519, 1090706, 1571811?\nAnswer: 2141032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61588*q + 256 - 256 + 17*q**2 - 61582*q + 123170*q.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-3\/17))**(-20)*(w*w**(1\/7)*w)\/w*w**(-1\/41) assuming w is positive.\nAnswer: w**(22677\/4879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**3 + 4*a - 2*a**3 - 2*a)*(-2635 - 5500 - 3338 - 458).\nAnswer: 23862*a**3 - 23862*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 15, -71, -303, -753, -1493?\n\"Answer: -12*s**3 - s**2 + s + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 43 = -2*b + 3. Let r = -8 - b. What is the greatest common factor of r and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -23 (base 5) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*n = -20*n - 46*w + 42*w + 6, -n - 18 = -5*w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = -3*h - 15. Let o = h - -97. Suppose 0 = 2*l + 3*l - w - o, 2*l - 47 = -3*w. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 76?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -66357779 or -66357778?\nAnswer: -66357779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 75581054551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oz when two letters picked without replacement from ozzzzzozzzzzzzzzzzz.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -17, 8 in decreasing order.\nAnswer: 8, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2 - 362?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -356213 (base 7) in base 15?\nAnswer: -14212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -80a7 (base 12) in base 5?\nAnswer: -421301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1230324 divided by 24124\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 3142*k. Let w(x) = 44*x. Determine c(w(b)).\nAnswer: 138248*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.281 - -0.281. What is the nearest to -0.3 in -16, s, 2\/13, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -10*4\/(-2 + 0). Let n = 7 + -12. Let p = w + n. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) be the second derivative of -q**7\/273 + 7*q**6\/195 - 3*q**5\/26 + 5*q**4\/78 + 16*q**3\/39 - 12*q**2\/13 + 3*q - 429. Determine u, given that a(u) = 0.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 303, -414448, 3, -2 in ascending order.\nAnswer: -414448, -2, 3, 303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -4*j + 841, 4*j - 5*o = -289 + 1106. What are the prime factors of j?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + 234\/30 + 1*56\/(-8).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 70 - 28. Which is greater: w or -1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 24423662 to the nearest integer?\nAnswer: 4942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = 16*h**5 - 6*h**4 - 23*h. Let n(x) = 32*x**5 - 11*x**4 - 45*x. Let m(s) = 6*n(s) - 11*p(s). Find the second derivative of m(l) wrt l.\nAnswer: 320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(41\/3)*g**(-37))\/(g**39*g*g)**37 assuming g is positive.\nAnswer: g**(-4621\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -18 + -87?\nAnswer: -a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/3))**(4\/23)*y**(-1\/3)\/y**(-3\/2) assuming y is positive.\nAnswer: y**(169\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**3 - 4*a**3 + 4*a**3)*(2*a - 5*a - 2*a)*(123*a + 124*a - 17 - 244*a).\nAnswer: 30*a**5 - 170*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**2 - 57718614*x - 277619866840083.\nAnswer: -3*(x + 9619769)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 508?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 3*f**2 - 2. Let x(j) = -j**2 + 1. Let p(a) = d(a) + 2*x(a). Let k(z) = 4*z**2 + z. Let y be k(-1). Let q(t) = -5 + 2 + y + t**2. Determine q(p(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, z: 7, r: 2}. What is prob of sequence zrlr?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -16. Let r(i) = i**3 - 7*i**2 + 6*i + 2. Let d be r(6). Suppose d*a + 22 = 3*a. Calculate the smallest common multiple of c and a.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 119070295*l**5*u*x + l**2*u*x**2 - 662*l*u*x**2 - l*u*x - 92*l*u - 85*l*x wrt l?\nAnswer: 2381405900*l**3*u*x + 2*u*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -2*u**3\/11 + 188*u**2 + 386458*u\/11 + 7770228\/11 = 0.\nAnswer: -141, -23, 1198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 590 is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * -3757.062.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 189.59487 from -132.77209.\nAnswer: -322.36696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -28472*p**6 - p**5 - 4*p**4 + 1184415*p**2 + 2.\nAnswer: -3416640*p**3 - 60*p**2 - 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 4 = 2*m, -1676124 = 5*t - 2*m. Let j = t - -6366047\/19. Let y = -169 - j. Which is the second smallest value?  (a) -0.1  (b) -7  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 31*u**2 + 123*u - 21. Let g be x(-5). Calculate the highest common divisor of 3 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2*d + 7. Let j be v(-2). Suppose j*m - 8*m - 6 = 0. What is the derivative of 144*f**m - 13 + 23*f**4 - 144*f**2 wrt f?\nAnswer: 92*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1163*p - 651*p - 656*p)*(0 + 0 - p) + 0 - 2*p**2 + 0 + (-2*p - 3*p + p)*(2*p + p - 5*p) - p**2 + 2*p - 2*p.\nAnswer: 149*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vcc when three letters picked without replacement from ccccfllffvcl?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 3*w**3 - 202*w - 172*w + 717*w - 169*w - 174*w.\nAnswer: -3*w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/(-45)*-3*1. Factor 16\/5*y**3 - 6\/5*y**4 - 14\/5*y**2 + g*y + 0.\nAnswer: -2*y*(y - 1)**2*(3*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 29\/2 of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.398, 5\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 639 (base 10) to base 4\nAnswer: 21333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vjfx when four letters picked without replacement from {f: 1, i: 2, x: 4, v: 2, j: 1}?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -47.7 and 0.2?\nAnswer: -9.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 835.9 - 836. Let q = 18 - 15. Let n be (-4)\/q*9\/16. Which is the closest to x?  (a) -12\/11  (b) 2\/11  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 + 30*f - 29. Let p be m(29). Suppose 11*d + p*d = -44. Let o(c) be the first derivative of c**3\/3 + 5*c**2\/2 - c - 4. Give o(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -10, 51, 1, 2, -3 in descending order.\nAnswer: 51, 2, 1, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*l**3 - 822*l**2\/7 + 236*l\/7 = 0. What is l?\nAnswer: -59, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12100 - -12101.1934. Round f to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -113527, -225689, -337847, -450001, -562151, -674297?\nAnswer: -786439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 397 divided by -4?\nAnswer: -397\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 39a - -21182?\nAnswer: 2151c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 9 + 6. Suppose 2*p + p + 4 = -5*g, -d*p - 3*g = 0. Find the third derivative of -9*h**5 + h**2 - 4*h**5 + 13*h**p wrt h.\nAnswer: -780*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*c + 72*c + 396 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40, -45, -186, -383, -636, -945?\nAnswer: -1310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.090519 * 4.3\nAnswer: 0.3892317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 934.848432s in weeks?\nAnswer: 0.001545715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**2 - f - 1. Let l(h) = 25*h**2 + 8*h + 6. Let u(n) = l(n) + 3*t(n). What is the hundreds digit of u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 203\/28 - 4 - 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -95\/24 and -79\/304.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 1205\/3 - (-4)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1395.995 - 1396. Round m to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 - 32*r**2 - 9*r + 28. What is the units digit of u(-32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes before 11:12 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3142 = -v + 2*h, -930*v + 5*h = -933*v + 9470. Is 75 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-1 + 14\/10). Let m(u) = u**3 + 5*u**2 - 3*u - 7. Let q be m(y). Suppose 4*r = -5*w, 2*w = -4*r - w + q. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = 15*s - 16*s - 6, 2*s - 9 = -5*f for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 - -21. Which is the third biggest value?  (a) -3  (b) q  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 PM and 5:06 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.14 greater than or equal to 756550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from lxxjjjj?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 260 and 728.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: db6bc (base 14) to base 6\nAnswer: 15214010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -d**3 + 3*d**2 + 7*d + 9. Suppose -2*z + 6 = 10. Calculate the remainder when j(z) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4 - ((-4 - 3) + 9). What is the second derivative of -573 - j - 27*j**3 - 2*j**v - 5*j**3 + 478 wrt j?\nAnswer: -192*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -177 - -387. What is the greatest common divisor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 r when four letters picked without replacement from {m: 5, r: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = -5*h - z - 29, -h - 4*z - 9 = 0. Let k = 1619 + -1622. Let p(u) = 11*u + 5. Let t(g) = -6*g - 3. Give h*t(b) + k*p(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 o, and 1 u when three letters picked without replacement from {t: 3, u: 3, d: 3, o: 1, i: 2, p: 2}?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(4\/11)\/g*g)\/(g\/(g*g**17*g))*(g**6*g)**(2\/75) assuming g is positive.\nAnswer: g**(16129\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 + 13*i**2. Let q be t(13). Suppose q = -2*m + 14 + 66. Suppose -a + 19 = -s, -2*a - 2*s + 6 = -m. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*(-18)\/(-576)*16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (89 + -79)\/(10\/12). Let r be (1 - -11) + (0 - -1). Let k(c) = 6*c**3 - 2*c**2 + 2*c - 1. Let p be k(1). Solve r = -p*j - i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z - 12 = 0, 4*g - 54*z + 50*z = 36 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 + 11*t**2 - 11*t + 14. Let c be g(-12). Let o be (-5)\/((-110)\/4) + (-210)\/(-55). Let k(n) = o*n + 44 - 45 - 6*n. Give k(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -6*f**3 - 4*f + 4. Let q(i) = -i**3 - 1 + 4 - 5*i**3 - 3*i. Let n = -186612 + 186608. Determine n*q(j) + 3*p(j).\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*m + 81 = 27*m - 409. Let a(c) = -c. Let v(i) = -4*i + 6. Let l(s) = 2*a(s) - v(s). Let z(h) = -h + 2. Give m*z(y) + 3*l(y).\nAnswer: -4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 246 a factor of 24805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the second derivative of -17\/3*w**3 - 23*w**2 - 44*w + 0. Differentiate q(b) wrt b.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 + 15 - 7)*(25 - 14 - 5*w - 13)*(-3 - 1 + 2)*(0*w + 2*w + 2*w) as y*w + h + d*w**2 and give y.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -250479100\/1207393 + -6\/109763. Put 0.4, -0.5, n in decreasing order.\nAnswer: 0.4, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 406\/17 + -24. Let p = 125 + -125. Which is the nearest to p?  (a) s  (b) 0.11  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 96 and 1513272.\nAnswer: 6053088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 106*n = 103*n - 3. Which is the third biggest value?  (a) 1  (b) 1\/4  (c) n  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 64977 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 2*k**2\/13 + 764*k\/13 - 1536\/13 = 0.\nAnswer: -384, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 80876.18*-0.2\nAnswer: -16175.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -26 - -37. Suppose q*c - 328 + 31 = 0. Suppose 14*z = c*z - 221. Solve 15*r - z*r - 10 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 16, 705, -60, -4, -1 in ascending order.\nAnswer: -60, -4, -1, 16, 705","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -y**4 + y**3 + y + 1. Let c(k) = -3*k**4 + 6*k**3 + k**2 + 4*k + 4. Let z = -22 + 10. Let r(m) = z*j(m) + 3*c(m). Solve r(l) = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*t - 8*t + 2*t + 10)*(2*t**3 - 1 + 1) as s*t**3 + k*t + v + m*t**2 + o*t**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 3*a + 2*v + 575, -2*a + v = -229. List the prime factors of a.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the second derivative of w**5\/300 - w**4\/120 + w**2 + w. Let g(m) be the first derivative of l(m). Factor g(k).\nAnswer: k*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-8\/3)*d**0)\/((d**(-1\/7)\/d)\/d**(-2)))**(-34) assuming d is positive.\nAnswer: d**(2516\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*s - 19 + 67. Suppose s = 5*k - 53. Is (-11 + k)*(-254)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 469334 is divided by 7516?\nAnswer: 3342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {h: 1, w: 3, o: 1, q: 6, e: 2}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*y**3 + 3*y**3 - 8*y**3 - 12*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6*w**4 + 104234*w**2 + 25725845*w?\nAnswer: 72*w**2 + 208468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of y**3 - 2*y**2 - 3*y + 44. Suppose 0*b = -b - 3. Is z(b) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -4*y + 23. Let n be w(5). Suppose 0 = -n*p - m - 140, -5*m = 4*p - 2*m + 185. Let b = p + 65. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 12, 47, 106, 189, 296, 427, 582?\n\"Answer: 12*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3387 + -60941\/18. Let f = -1174\/7 + 12041\/70. What is the common denominator of f and h?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 - g + 1. Let r(y) = 70*y**2 - 84*y + 84. What is r(h) - 84*s(h)?\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 146 - 143. Solve -u*j = -7*j - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a\/(a*(a*a\/a**(-1\/2))\/a*a))**47)**(-27)*(a**(-1\/2)\/(a\/(a\/(a**6\/a))))**(1\/44) assuming a is positive.\nAnswer: a**(25379\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -179\/51185640 and 59\/56304204.\nAnswer: 563042040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -21446 - 1346?\nAnswer: -23125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -1153843 less than 0.3577?\nAnswer: 1153843.3577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1.7  (b) 7  (c) -3  (d) -0.12  (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(400)*4)\/(3*sqrt(25)\/(sqrt(10)\/sqrt(2))))**2.\nAnswer: 1280\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 155636188 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: -1774208 times -12\nAnswer: 21290496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 PM and 11:56 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 4\/1769  (c) 3  (d) -1\/2  (e) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*a**2 - 4*a**2 + a**2)*(3*a + 0*a - 2*a)*(3*a + 7*a + 3*a) to the form c*a**2 + x + j*a + f*a**4 + v*a**3 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 4)*(-6*n + 8*n + 11*n).\nAnswer: 52*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 3*r**3 + 4*r**2 - r - 318. Let a(x) = 10*x**3 + 14*x**2 - 2*x - 952. What is 2*a(w) - 7*d(w)?\nAnswer: -w**3 + 3*w + 322","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gug when three letters picked without replacement from uuggguuuuuuggu.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3340042000124 + -1?\nAnswer: 3340042000123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26434 is divided by 733.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3 - 178*h**2 - 3976*h - 15680.\nAnswer: -2*(h + 5)*(h + 28)*(h + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -4*h**2 - 60*h - 56. Calculate z(-14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 279490.033 to the nearest 10.\nAnswer: 279490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, -0.3, -3280?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1164642056 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 624 - (3 + 2\/(3\/3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 651941*t**6*z + 4*t**4*z**2 - 97*t**2*z**2 + 2*t**2*z - t*z**2 + 11524 wrt t?\nAnswer: 78232920*t**3*z + 96*t*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4 - -8. Suppose -2*k + i*k - 4 = 0. Suppose k*x - 16 = 8. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.45 in 4, 9\/7, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 11*b**2 - 1. Let t be h(-1). Let j be (-2)\/(-7)*5\/t. Suppose -37*p - 7*p = 0. What is the closest to 0.2 in p, j, 1\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/(1\/(-3)) + -3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*x - 2*w + 2, x + 10 = -4*w. Suppose -x*u = -u - 13. Let k = u - -7. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168 = -82*a + 324 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1386\/29 or -29591?\nAnswer: -1386\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-5))\/(132\/30).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*((sqrt(5) - (sqrt(5) - sqrt(35)\/(sqrt(7) + sqrt(49)\/sqrt(7))) - (sqrt(30)\/(3*sqrt(6)) + sqrt(5) - sqrt(5))) + 5))**2.\nAnswer: 5*sqrt(5)\/3 + 905\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/10585129 and -28\/2685779.\nAnswer: 179947193","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1075591183?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7 - -5)*(-254)\/6. Let n = o - 82. Factor 8\/3*t**3 - 2\/3*t**2 + 2\/3 - n*t.\nAnswer: 2*(t - 1)*(t + 1)*(4*t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 + 6*z + 5. Let x be w(-3). Calculate the common denominator of -53\/7 and 8\/x - (214\/(-28) - -2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 28, -0.2, 13\/571?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h = -4*s + 45, 25 = 4*s - 2*h + 3*h. Solve -3*q = 4*c, -s*c + 11 = -4*q + 42 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -42.322605 to 0 decimal places.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/10)\/((5\/(-200))\/1). Let c(h) = -5*h**2 - 21 + b + 13*h**3 - 12*h**3 + h**2 + 2*h. Determine c(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 47 + -44. Suppose 4*q = -t + 16, l*q + 4*t - 30 + 5 = 0. Solve 7 - 1 = q*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11564012 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.1 - 2. Let z = -0.2 + t. Let g = 36\/25 - 806\/525. Which is the biggest value?  (a) z  (b) -3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45, 100, 263, 588, 1129?\nAnswer: 1940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24\/90*(-5)\/((-15)\/(-9)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 736 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 5284 and 4701439?\nAnswer: 1321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/44 and (-5)\/(-30) - 1 - 3*1?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 242, 132, -146, -676, -1542, -2828, -4618?\nAnswer: -6996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve z + 13*y = 8, -25*y + 21*y = -z - 9 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13979 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 49\/5 of a milligram in micrograms?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the first derivative of 1\/120*g**6 + 3\/20*g**5 + 0*g**2 + 5 - 32\/3*g**3 - 7\/8*g**4 + 0*g. Let o(r) be the third derivative of b(r). Factor o(a).\nAnswer: 3*(a - 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 39205.\nAnswer: 5, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -2*h**2. Let m(s) = -304075*s. Give c(m(u)).\nAnswer: -184923211250*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 630 is divided by 45.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + (sqrt(75) + -2)**2 + sqrt(192)*-1 + (sqrt(96)\/sqrt(2))**2)*-2.\nAnswer: -244 + 56*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -5*u + 10, -u = -2*z - 5*u + 8. Suppose 4*l + z*l = 0. Let m be 2 - 6*(-2)\/(-8). Do m and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (28\/8)\/((-2)\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25\/33 - 59\/165. Which is the biggest value?  (a) -1  (b) 1.09  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -2*g**2 - 76*g - 508. Let q be y(-29). Solve -2*w - q = 5*c, -3*c + 5*c = -4*w + 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.8 + 1.1. Let x be (3\/(-2))\/(360\/32). What is the nearest to o in 3\/4, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/5)*v)**(-3\/20)\/((v**(-1\/2)*v)\/(v\/v**(-8))))**9 assuming v is positive.\nAnswer: v**(1872\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*m**3 - 3*m**3 + 2*m**3 + (4*m - 5*m - 2*m)*(-m**2 + 3*m**2 - 4*m**2) - 47*m - 25*m**3 + 47*m in the form y*m + c + l*m**2 + z*m**3 and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4777563 and 6370084?\nAnswer: 19110252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {r: 9, e: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -196eb (base 15) to base 13\nAnswer: -2b778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = 4*g**3 + 1. Let t be z(1). Let y = -3 + t. Let u(a) = 2*a**2 - 2*a + 3. Give u(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 320db2 - -7?\nAnswer: 320db9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*((-594)\/(-432))\/((-3)\/(-8))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 47 + 14?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*c**2 + 51*c**2 + 13*c**2 - 128*c**2.\nAnswer: -39*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 289338.611 to the nearest one thousand.\nAnswer: 289000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 33, 1, -188 in ascending order.\nAnswer: -188, 1, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3*l - 172 = 0, 0 = -0*s + 3*s + 2*l - 530. Suppose -s = -p - 17. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 41 = -16. Let c(n) = -n**2 + 9*n - 5. Let m be c(w). Suppose -2*k - m = -7*k. Are 3 and k nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*i**3 + i**3 - i**3 + 4*i - 4*i - i**3 + (-2*i**2 + 5*i**2 + 0*i**2)*(6*i - 2*i - 2*i) + (-3*i**3 - 4*i**3 + 5*i**3)*(2 - 2 + 1).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.72 + 4.719659. Round q to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-96)\/51 - (0 - 2) - (-75768)\/(-4182).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 511064*-0.4.\nAnswer: -204425.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z**3 + 15*z**2 - 12*z - 20. What is the remainder when 2\/1*(-39)\/(-6) is divided by f(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 174 + -247. Let j = 39 + y. Let z = 34.76 + j. What is z rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2667 = 2*p - 2717. Is (-3)\/((-24)\/p)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (32\/14)\/(602\/(-98) + 7)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 240\/(-24)*3\/5\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -17*k + 90. Give n(15).\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 + 22*y - 23. Let z be w(21). Let g = 0 + 1. What are the prime factors of (g\/(-2))\/(z\/76)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 14\/(-105)*(0 + -5). Suppose -2*n = -4*n + 4. Suppose m = n*m - 4, -m = u - 4. Sort u, i, -1 in decreasing order.\nAnswer: i, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-22220)\/24442 + 1525\/165\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 107*q + 853 = 183*q - 692*q + 57525 for q.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 43 + 532?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 1 - 2*j**2 + 3 - 2 + 3*j**2 + j. Determine k(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*g**4*m**2 + g**3 + 2*g**2*m**3 - 3*g*m**3 - 72*g*m**2 wrt g.\nAnswer: 132*g**2*m**2 + 6*g + 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.3, -2\/9, 0.2, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 170555741?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the second derivative of t**4\/24 - 89*t**2\/2 - 28*t. Let u(s) be the first derivative of j(s). Let l(w) = -2*w. What is u(l(k))?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-two fifths of a hour in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*c**3 - c**3 - 3 + 2*c + 9*c**4 + 0*c**3 - c**3 in the form l*c + z*c**3 + i*c**4 + r*c**2 + w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/6)\/(4\/18). Let r = j - 1. Solve -2*w + 2*v + r*v = -4, -v = -w - 1 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 80 = -5*l, 4*h - 2*h + 2*l + 40 = 0. Let n = -10 - h. Is (n\/(-6))\/((-8)\/108) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 24*o**2 - 153*o + 163. Give m(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 67550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -274*g - 2202. Let x be r(-5). Which is smaller: -842 or x?\nAnswer: -842","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -3\/152 and 9 - ((-253260)\/1862)\/(-15)?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 302515 or 0?\nAnswer: 302515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -32*k**2. Let v(w) be the third derivative of w**7\/1260 + 143*w**5\/60 - 3*w**2 - 23*w. Let f(h) be the third derivative of v(h). Determine p(f(y)).\nAnswer: -512*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 75 = 4*m. Suppose 3*y = 3*f + m + 6, -2*y + 12 = -f. Sort f, 5, 2 in descending order.\nAnswer: 5, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -74.1896 + -0.0104. Let c = 68 + y. Let h = -6.19999951 - c. Round h to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 57 + 149. What is the remainder when k is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4751, 7965, 11179, 14393, 17607, 20821?\nAnswer: 24035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) be the first derivative of -n**3\/3 + n**2 + 12*n + 7. Let m be k(4). Solve h = m*a - 2, a = -2*a + 3*h + 6 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10100100011101110 (base 2) in base 12?\nAnswer: 40892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2478 = 2744*q - 3010. Solve 3\/4*v**5 + 3\/2 - 1\/2*v**q - v**4 - 4*v**3 + 13\/4*v = 0.\nAnswer: -1, -2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*w + 4*w + 5*f + 392, -3*f = -3*w + 396. Find the third derivative of 19*i**3 + w - 134 - 20*i**2 wrt i.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7931.\nAnswer: 7, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ygmggmym. What is prob of picking 1 y and 2 m?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together 18.7607 and 1172270421.\nAnswer: 1172270439.7607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -66*r - 277. List the prime factors of t(-33).\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 158613.7kg in tonnes?\nAnswer: 158.6137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -600 divided by 5?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from dnhdx.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2, 0.1, -0.88?\nAnswer: -0.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -25 - -58. Suppose -b = 3*d - 6*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3\/10, 1, -5\/9, 2\/93 in descending order.\nAnswer: 1, 3\/10, 2\/93, 0, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20\/(-8)*(-8)\/5. Let a be (-1)\/((10\/j)\/(-5)). Solve 2 = -a*i - 5*k, -2*i + 1 = 2*k - 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -33 + 56. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the first derivative of c**4\/4 + 2*c**3\/3 - c - 14. Determine s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 273*b**2 + 29*b. Let w be y(-11). Suppose -2*s = d - 9295, -w = -5*d - 4*s + 13755. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0\/(-127) - (2 - (-9)\/(-4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -233566824 divided by -1.\nAnswer: 233566824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 74813407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u + 2*s - 4 - 12, 0 = 4*s - 16 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 44*h + 11*h**3 - 3*h**2 + 6*h**2 - 12*h**3 - 22*h + h**2 to b*h**2 + g*h + i + p*h**3 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 80 - 77. Solve -c = -4*z + 14, 16 = -8*c + h*c + 2*z for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -116 - 113020?\nAnswer: -113136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + -204146154?\nAnswer: -204146156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -289, 0.08, 3\/7, 77 in decreasing order.\nAnswer: 77, 3\/7, 0.08, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of 1\/5*q**6 - 16*q + 0 - 1\/6*q**3 + 0*q**2 + 0*q**4 + 0*q**5. What is the second derivative of i(w) wrt w?\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 642.1 + -642. Let f = 0.02 - -1.98. Sort f, 3\/4, o in decreasing order.\nAnswer: f, 3\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 10.13599 millilitres?\nAnswer: 0.01013599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**3 + 15*h**2 + 12*h - 22. Calculate the remainder when 22 is divided by n(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -0.1, 2\/15, 31.4, 1, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 87877620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((l\/((l*l**(-7)\/l*l)\/l))\/l*l)\/l)\/((l**(-1\/2)*l)\/l))\/(l**(2\/5))**38)**(-7) assuming l is positive.\nAnswer: l**(539\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 46 + -32. What is the highest common divisor of 28 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (26 - -76 - 20 - 25) + -14.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = m**3 + 3*m - 5. Calculate the lowest common multiple of p(2) and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -0.28  (c) -4  (d) -72  (e) -50\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -7 + 10. Suppose -a + h*a + 4*p = 16, -5*a - 2*p + 56 = 0. Solve 4*l + 4*f - a = 0, 9 = -l + f + f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2935*a**4*b - 28*a**3*b**2 - 1608*b**2 - 15 wrt a?\nAnswer: -11740*a**3*b - 84*a**2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) be the second derivative of 11*o**4\/3 + 2*o + 24. Let b(u) = -u**2 - u + 1. Let m be b(1). List the prime factors of j(m).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 + (-8 - 12) + 6 + 1 + -36?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 2*r + 7 = 0, -5*r + 3 = 5*g - 2. Let d(k) = 3*k + 2. Let y(a) = -7*a - 3. Let z(w) = -5*d(w) - 2*y(w). Calculate z(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12 divided by -16?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -263*l**2 + 6185*l - 18565. Determine b(3).\nAnswer: -2377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + -4*(sqrt(7) + 0) + -2*(-1 + sqrt(7)))**2.\nAnswer: -20*sqrt(7) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/110 and 121\/6?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -8*t**2. Let n(c) = -1139*c**2 - 2*c. Give n(q(k)).\nAnswer: -72896*k**4 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40 = -10*i + 18*i. Which is the closest to i?  (a) 5  (b) -0.5  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the second derivative of -m**5\/20 - 79*m**4\/12 - 1435*m**3\/6 + 5043*m**2\/2 - 2568*m. Solve a(x) = 0.\nAnswer: -41, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55, -71, -105, -163, -251, -375, -541, -755?\nAnswer: -1023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 6, v: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find j, given that 1065*j**4 + 69230*j**3 + 260185*j**2 + 1220*j = 0.\nAnswer: -61, -4, -1\/213, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 3, r: 3, i: 5}. Give prob of sequence ir.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1039*u + 17465 = -22017 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3390 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w**3 - 275 + 275.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1259*p**5 + 412*p**3 + 3*p**2 + 1285*p - 636?\nAnswer: -25180*p**3 + 2472*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6315530*c**3 + 2383746 wrt c.\nAnswer: -18946590*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -20403\/4 + 5101. Let w = 1\/3 - 1. Put j, w, -0.1 in decreasing order.\nAnswer: j, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3\/6)\/((240\/16)\/(-15))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -36739 and 1659656.\nAnswer: 1622917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1d (base 16) in base 13?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 2*u**2. Suppose 11 + 13 = 4*d. Let r(v) = -7*v + 0*v + d*v. Give z(r(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 5*z = 16, -n - 2*z + 0*z = -9. Let t be n + -1*6\/3. Solve -t*a + 19 = -6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000374501007 rounded to 5 dps?\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -3*(-4 + (4 - 2)). Suppose l - 10 = d*l. Let h = l + 19. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2576 + 1286 + n + 2*n**4 + 1282 + 2*n to t + y*n**3 + o*n**4 + m*n + v*n**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-8)\/(6\/(-3) - 0). Suppose -3*b - 5 = -d*b. Suppose -76 = s - b*s. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + sqrt(75) + (-2*sqrt(300))**2.\nAnswer: 5*sqrt(3) + 1199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {a: 16, q: 3, z: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 4*t + 2012 = 0, 4*p - p = -3*t + 1209. Round p to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of (-186108)\/(-30) + 50\/125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.934211 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 92223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*a + 5*a + 3006*a**3 + 2*a.\nAnswer: 3006*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of -l**7\/42 - l**6\/60 + l**5\/30 - 8*l**3\/3 + 102*l**2. What is the third derivative of d(f) wrt f?\nAnswer: -120*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of 0*y**4 - y + 11\/3*y**6 + y**3 - 114 + 0*y**5 + 5\/2*y**2. Find the second derivative of g(p) wrt p.\nAnswer: 440*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2461 - 0.0461. Let l = -0.02 + -0.08. Let v = -3 + 0. What is the closest to l in -0.3, p, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 129\/9 - 7\/21. Solve 0 = -m - 2*k - 9, -4*m - 3*k + g = -5*k for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 552 minutes before 6:04 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by -28.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3455 - 3453 + 16*h + 6908.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2120?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 PM and 2:25 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jtxh when four letters picked without replacement from {m: 1, j: 4, h: 3, t: 4, x: 2, y: 3}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 60*h - 524. Let f be g(10). What is the highest common divisor of f and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -4  (b) 2  (c) 0  (d) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence blz when three letters picked without replacement from xbnxzlzzkznzblllzzzz?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*n + 3 - 3 + n - n + n + (-5 - 1 + 4)*(n + 1 - 1) - 7*n - n - 7*n as l*n + k and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 868 smaller than 860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 54531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x\/(x*x*x**(-11)*x))*x**(5\/9))\/(x\/(x*x\/(x\/(x*x\/x**1*x)))*x**(-2\/57)) assuming x is positive.\nAnswer: x**(-925\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42480391 is divided by 6786.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-10)\/45 + (-2)\/(-9). Solve -z + d*z - 2 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*u**2 + 2*u**2 + 0*u**2 + ((-u + 2*u + 3*u)*(-1 + u + 1) - 1 + 2*u**2 + 1)*(0 + 0 - 2).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5457 a factor of 458938762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -a**3 + 19 + 18*a**2 + 2 - 6*a + 5*a - 17*a. Let d be c(17). Let q(x) = -d*x**2 - 2*x**2 + 5*x**2 + 2*x**2. Let u(h) = -20*h**2. Calculate q(u(r)).\nAnswer: 400*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96054048?\nAnswer: 2, 3, 197, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (5 + -4 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 11*(9\/(-360)*-10)\/(24\/16)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*z - 755 = 135*z - 2218 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 240*a - 43*a - 43*a - 55*a - 51*a - 44*a.\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 9 - 1 = 0, 4*f + 4*o = -16. Let q = 31 + -27. Suppose 2*m = -7*z + q*z - 2, 3*m = -z - 10. Is z at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 33 divided by -6526.\nAnswer: -33\/6526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n - 4. Let w be o(-6). Let i be 26 + 92\/(-4) + -4*(-1)\/(-1). Put w, i, 7 in decreasing order.\nAnswer: 7, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -24*w - 1. Let a be k(-1). Let y = a + -20. Let g(i) = 3*i - i + 2*i - y*i. Let p(z) = 40*z. Calculate p(g(l)).\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 5, b: 5, r: 2, x: 5}. Give prob of picking 1 b, 1 j, 1 x, and 1 r.\nAnswer: 25\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -12*k**2 - 2*k. Let j be ((-18)\/(-12))\/(1\/(-2)). Let d(x) = 6*x**2 + x. Give j*b(o) - 7*d(o).\nAnswer: -6*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 + 2*k + 5. Let l be c(-4). Let y = l + 3. Is (-636)\/y + 6\/(-8) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 4*y - 8 = 0, -i = -3*i - y + 8. Find the common denominator of 5 + (-2227)\/340 + (-2)\/(-8) and (-5)\/(-4)*3\/i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence na when two letters picked without replacement from {k: 12, a: 1, l: 2, d: 2, n: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 27 = 4*y, -4 - 11 = 5*y. Suppose -5*q + 5*n + 75 = 0, 0 = z*q + 4*n - 63 - 17. What is the highest common factor of q and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 8*h**2 - 4. Let o(s) = 9*s**2 - 5. What is 2*o(g) - 3*z(g)?\nAnswer: -6*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -0.025, -3, -0.073?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 3\/((-1)\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121120 - -112?\nAnswer: 122002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -238, -661, -1268, -2059?\nAnswer: -3034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -79\/8 and (-1 + 2)*1030\/(-620).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 620 minutes before 7:55 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*o - 24*o - 3237 = 0. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8910 and 431082.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*k + 30*i + 45343 - 45199, 3*k - 6 = 4*i for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1551792490.\nAnswer: 2, 5, 2161, 71809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -42425631 (base 7) to base 4\nAnswer: -31233301023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 73811728 divided by -7859.\nAnswer: -9392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of d**6\/300 - d**5\/75 - d**4\/20 - 5*d**2. Let t(w) = 0. Calculate w.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29 + -22. Let f(b) = -g*b**2 + 14 + 10 - 24. Let m(i) = 2*i. Give m(f(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*o + 4*l = 25*o + 1, -2*o + 5*l + 15 = 0. Solve -k - 4*h - 11 = 0, -4*k = -42*h + 45*h + o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 435*v = 21835 - 24445 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + sqrt(28) - sqrt(63)\/sqrt(225))**2.\nAnswer: 54*sqrt(7)\/5 + 792\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3167 - 732. Let z be -2 - 0 - (-2)\/1. Suppose z = 5*s, s - 3*s = -5*v + p. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 17 = 1. What is the third derivative of -g + g - 3*g**l - 5*g**2 - g**4 wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 20*l**2. Let y(q) = 3*q. Let p(x) = 15*x + 13. Let i(u) = -7*u - 6. Let n(m) = -13*i(m) - 6*p(m). Let k(c) = -5*n(c) + 2*y(c). Calculate h(k(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 33464?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -11*g + 5. Suppose -3*o = -27 + 12. Let h(s) = s + 1. Let r(z) = z - 9. Let k(f) = 6*h(f) + r(f). Calculate o*n(y) + 8*k(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 107*q**2\/3 - 128*q.\nAnswer: q*(107*q - 384)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the third derivative of -v**8\/20160 - v**7\/2520 - v**5\/60 + v**2. Let b(i) be the third derivative of w(i). Factor b(y).\nAnswer: -y*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1813 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 8 - 13. Let b(r) = 4*r + 7. Let y be b(q). Let s = y - -25. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.469 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 - -9. Let u = y - -8. What is the remainder when u is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -107313 at least -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2712491 to the nearest integer?\nAnswer: 1647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 182*s**3 - 27*s**3 + 77*s**3 + 4 - 2 in the form t + f*s**3 + q*s + a*s**2 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.145643ml in litres?\nAnswer: 0.004145643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*n - 6*n + r = -42, 3*n - 2*r = 3*r + 54 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 13 + 12. Let h = l + 35. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1748 > -201104\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine z, given that -266 - 46*z - 11*z**2 + 9*z**2 + 222 = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-56)\/(-1))\/7 + -2 + -2. Suppose c = -2*c + 6. Solve -m*z = -5*z + c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 1 + 33. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7\/((-35)\/(-460))*22\/(-44)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 2*f**2 + 19*f - 4. Let k be q(-10). Suppose 2*y = y + k. Let s(a) = a**3 - 6*a**2 + 5*a - 8. Calculate the remainder when s(y) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12436 (base 8) to base 11.\nAnswer: 4075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.59  (b) -4.1  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 113952 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*q + 3*q - q)*(2 + 2 - 2) + (-45 + 14 + 70)*(-q - 4 + 4)*(-2 - 1 + 2) in the form p*q + f and give p.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 129 - 128. Let h be (-3 + 2*(2 - 0))*n. What is the nearest to h in 0.4, 3, -91, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 + 8 + 20 + 17 - 2*x.\nAnswer: -2*x + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/63 and 2\/81.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 205426 is divided by 20539?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-40)\/(-5) + 0\/(-1). Suppose 0 = -5*m + c + 17. Solve -15 - 16 = -m*d + 3*o, d = o + 7 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1186 is divided by 237.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2827 + -2860 + (-18 - -2 - 2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 4*j + 0*j = 0. Factor -2\/3*v**2 + 0*v + j - 2\/3*v**3.\nAnswer: -2*v**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1996*s**2 - 8020*s - 144.\nAnswer: -4*(s + 4)*(499*s + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -829483\/15 + 55299. Let k = 2 + -1. What is the third biggest value in i, k, 3\/7, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 665\/(-150) - (-5)\/(-15) and 35\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**3 - 6*v**2 + v + 18. What is q(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k - 2*k + k)*(-6*k + 3*k + 2*k) - 189*k**2 + 107*k**2 + 9*k + 94*k**2 + k**2 - 6*k**2 + 4*k**2.\nAnswer: 13*k**2 + 9*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3048 - 2680 = 2*r. Solve 18 = 186*m - r*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*l**2 + 6*l**2 - 9*l**2 + 11*l**2.\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 3764?\nAnswer: 33876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 6*d - 3. Let c be s(-4). Solve -2*v + c + 1 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**18\/(i\/((i*i\/(i\/i**(1\/21)))\/i)))\/((i\/i**(-18\/11))\/i*i)**15 assuming i is positive.\nAnswer: i**(-5197\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 438 = -4*q. Suppose 5*c - h - 77 = 0, 5*c - 2*h = -3*h + q. Solve 3*z - 40 = 5*a, a - 2*z + c = -0*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 7*b + 3 = 8*b, -b = 3*a - 11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.499 + -0.5?\nAnswer: -4.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 1, o: 2, u: 3, e: 1, w: 5, b: 1}. Give prob of picking 1 w and 1 u.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16800 = 16*q - 4320. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 4*u = -15 - 10, 4*z - 5*u + 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is e031 + 9?\nAnswer: e03a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 30 = -4*h, -2*w + 9 = 3*h + 21. Solve 2*l + 5*j = -w*l - 30, 3*j = 3*l + 12 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3\/306*-3*(-16)\/(-4)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.437674952 to 2 dps.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 + 10 = 3*a. Let h(v) = v**a + 0*v - 2*v**3 - 1 + 2*v + v. Suppose 26 = -0*m + 13*m. Determine h(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76523 = -38*s + 79619. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*y = -4 - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*r - 179*t - 264, 4*t - 180 = 258*r - 254*r for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 252318 and 330?\nAnswer: 1261590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.4 + -5281.7.\nAnswer: -5280.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32828*k + 32920*k - 2300 = 0 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4934*a - 7100*a - 166*a + 3700*a - 4363*a to i*a + x and give i.\nAnswer: -12863","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 22998, 22366, 21314, 19848, 17974, 15698?\n\"Answer: d**3 - 216*d**2 + 9*d + 23204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 9072072*f**2*h - 4*f**2*t - 2878995*f*h*t + 3 wrt t?\nAnswer: -4*f**2 - 2878995*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (2 - (15 - ((12 - 6) + 6))) + -24\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -57934\/25 - -2317. Suppose 2*i = -4*b - 2, 6 = i + 5*b + 10. Which is smaller: i or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -16*k - k**3 + 8*k + 8*k - 13*k**2 + 4. Let u be x(-13). Suppose -27 = a - n - 80, 0 = -u*a - 3*n + 247. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15715 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 300422 at most as big as 300720?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -77*k - 1422. Give z(-17).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 + 3*v**2 - 12*v + 5. Let h be t(2). What are the prime factors of 376 - h - ((-7 - -11) + -3)?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of z**4\/4 + 5*z**3\/2 - 2397*z**2. Give i(3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.041 + -96?\nAnswer: -95.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(0 + sqrt(2)*3 + ((sqrt(8) - -1*sqrt(8))\/sqrt(4))**2).\nAnswer: -32 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 5, 147, -4 in descending order.\nAnswer: 147, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (6 - 5))\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000574301 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -430*y**3 + 5*y**2 + y + 1. Let i be v(4). Is (-4)\/(-22) + i\/(-55) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r - 2*d = -3 - 0, 2*r - 9 = -d. What is the first derivative of 11 - 3 - r*c - 16*c - 7*c wrt c?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) be the second derivative of -g**5\/20 + 3*g**4\/4 + 2*g**3\/3 - 3*g**2\/2 + g. Let w(n) = 3*n - 9. Let t be w(6). Is d(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -288104?  (a) -2  (b) 5  (c) -0.4  (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f = -12*f. Suppose -g - 9 + 5 = f, 0 = 5*b - g - 24. Solve -t = v - 5*t - 17, t = 3*v + b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7289 - 4635. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 18 + -11. Suppose 11*c - 18 = 9*c. Let f be 6\/c - 48\/(-9). Are a and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, -84, -119?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 523110 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -204 + 342. Let b = l + -135. Differentiate 2243 + 3*o - 2221 + b*o wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*m**3*p**2 - 13*m**3 + 15*m - 3578*p**2 wrt m.\nAnswer: -6*m**2*p**2 - 39*m**2 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 503 + -502. Sort -5, -2, 2\/3, v in decreasing order.\nAnswer: v, 2\/3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2493 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -161\/66 and 123720\/(-31248) - (-5)\/310*-4.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8827 and 56?\nAnswer: 70616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10\/(-4))\/((-105)\/84). Let r(w) = -23*w + 54*w - w**g - 10*w - 8. Does 17 divide r(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 150 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -69\/65278 and 45\/254?\nAnswer: 65278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 311 times 0.3751?\nAnswer: 116.6561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -3879 (base 11) to base 4\nAnswer: -1032313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 361, 355, 345, 331, 313, 291?\n\"Answer: -2*n**2 + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-485)\/55 + (-8)\/44. Let i be (-84)\/g - (-4)\/6. Do 8 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from {b: 7, y: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(4\/7)\/x**(1\/2))\/(x**(1\/4)\/(x*x*x**17*x)) assuming x is positive.\nAnswer: x**(555\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -2*a - 17. What is b(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 41, 174, 403, 734, 1173, 1726, 2399, 3198?\nAnswer: 4129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (236\/20)\/((-1)\/(-5)). Suppose -7*r = -18 - a. Let x(v) = 4*v + r*v - 20*v. Let l(z) = -7*z**2. Give l(x(c)).\nAnswer: -175*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + -10 + 3 + (6 - 5) + -8?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -410044584*g**4 + 21*g**2 - 172399?\nAnswer: -9841070016*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + r + 1043 - 1037)*(0*r - r - r)*(-r**2 - 2*r**2 + 4*r**2).\nAnswer: -2*r**4 - 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7 - 8. Let i be (2 - 5)\/s*69. Suppose -i = -6*l + 3*l. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*b**2 + 3*b - 270 = 0. What is b?\nAnswer: -10, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the second derivative of o**4\/6 - 13*o**3\/6 + 19*o - 4. Let p(q) be the third derivative of -q**4\/24 + q**2. Determine p(m(w)).\nAnswer: -2*w**2 + 13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = l**2 - 2*l + 5. Let k(r) = -r**2 + 5*r - 9. Let c be ((-5)\/(-15))\/(2\/(-18)). Let f(y) = c*k(y) - 5*d(y). Calculate f(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 126 - (-1)\/((432\/(-32) + 14)\/(-1)).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from yyyyyfyfyfypf.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 800898.34 rounded to the nearest ten thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -95\/3 or 0?\nAnswer: -95\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(-8\/3))**6\/(x*x**(1\/4)*x**(-2\/53)) assuming x is positive.\nAnswer: x**(-2377\/212)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000019467 rounded to seven dps?\nAnswer: 0.0000195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -563*u**3 - 565*u**3 + 743*u**3 + 383*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 = g - 0*g + 2*q + 16, -q = -7*g + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -94 + 136. Let a be (-37)\/74 - (-170)\/4*1. Suppose -46*t - a = -49*t. Calculate the highest common factor of t and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -s - 2*s. Let o be 2\/(-4)*-154 + -4. Suppose 5*j - o + s = 0. Calculate the highest common divisor of j and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2*(-6)\/8*8\/12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 53 is divided by (-38)\/(-209) - 317\/(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 265460*b - 583836*b - 1943468*b.\nAnswer: -2261844*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 6, d: 1, f: 2, c: 3}. Give prob of picking 2 c, 1 w, and 1 d.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*r - 62741 = -15797. What is the nearest to -1\/6 in r, 1\/3, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 106842?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2112061585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -1\/4, -1\/6, 24252?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -639, -656, -683, -726, -791, -884?\n\"Answer: -x**3 + x**2 - 13*x - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w*w\/((w\/(w\/(w\/(w\/(w**34*w))*w*w)))\/w))**(21\/2)\/(w**23\/(w*w\/w**(-40))) assuming w is positive.\nAnswer: w**(-655\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 534*y + 2 = 532*y - 4*b, 2*y + b = 4 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 27\/4 of a year in months?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the third derivative of 3*i**2 + 1\/42*i**7 - 2\/3*i**3 + 0*i**6 + 0 + 0*i**5 + 0*i**4 + 0*i. What is the derivative of m(l) wrt l?\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/19  (b) 144  (c) -0.168  (d) -2\/169\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = -8*j + 203. Let l be w(25). Solve 2*n - 9 = -r - l, 5*r - 4*n - 16 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -99\/2556230 and -151\/18.\nAnswer: 23006070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zy when two letters picked without replacement from {k: 9, z: 2, j: 1, s: 3, y: 4}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -q**3 - 5*q**2 + q + 1. Let x be b(-5). Suppose s = 0, 0 = 3*m - 3*s - 1 + 16. Let a be m\/(-20) - 19\/x. Solve 0 = a*n - 0*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1588 by -4.\nAnswer: -397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*g**2 + 2*g**3 - 11*g + g**3 + 11*g in the form a*g + y*g**3 + n*g**2 + t and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-175)\/1260*-36 - -28.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1181398 rounded to 4 decimal places?\nAnswer: -0.1181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 13528488 minus 37.3?\nAnswer: 13528450.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6871 - 6865 - 1545*c - 393*c + 530*c - 884*c to l*c + f and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 112 divide 1660176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 24983, 50055, 75219, 100475, 125823, 151263?\n\"Answer: 46*l**2 + 24934*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -4*s**2 - 16*s + 5. Calculate j(-7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 4*z = 0. Let d(i) be the first derivative of 0*i - 1 - i**2 - 1\/5*i**5 + 0*i**4 + z*i**3. What is the second derivative of d(x) wrt x?\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (40 - 1 - -2) + (-2 - 0). Let l be w\/(-12) + -2 + 5. What is the nearest to l in -0.04, -1, 0?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2912, 3116, 3644, 4652, 6296, 8732, 12116?\nAnswer: 16604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 199103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 8514758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1108, -1401, -1898, -2611, -3552, -4733, -6166?\nAnswer: -7863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1115, 1120, 1127, 1136?\n\"Answer: t**2 + 2*t + 1112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = y**3 - 24*y**2 - y + 594. Calculate the smallest common multiple of 84 and z(23).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 10 + 4)*(a**2 - a + a + (-2 + 2 + 2*a)*(2*a + 0*a - 3*a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/204 and -13\/510?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 0*r + 2*r = 252, -4*b + 254 = r. What is the remainder when b is divided by (5 - -6)\/(10\/4 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -853 - -854. Let f be ((-15)\/(-28))\/b + 73\/(-292). Factor 2*q + f*q**2 - 10\/7 - 6\/7*q**3.\nAnswer: -2*(q - 1)**2*(3*q + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 664*z - 357*z = 446*z + 10425 for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 20 = -s, 2*s + 8 = s + 2*b. Let y(h) = -2*h**3 - 8*h**2 - 4 + 3*h**3 + s*h**3 + 2*h + 0*h**3. Let j be y(8). Solve x = 4*x + j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.15 + -0.15. Let s = -1 + -4. Let y be (-1)\/(-4) - (-90)\/(-264). Which is the second biggest value?  (a) l  (b) y  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13549 + -23 - (-4 - -9)?\nAnswer: 3, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 2, -16, 5, 9 in increasing order.\nAnswer: -16, -7, 2, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + 3 - (18 + 0). Let y = 28 + i. Suppose 3*w = -2*w - 3*n + 55, 0 = 2*n + 10. What is the lowest common multiple of w and y?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*s**3 + 2*s - 3*s**4 + s**3 + 9*s**3 - 5*s + 2*s**2 - 4 + 5*s**4 as t + g*s**3 + h*s**4 + a*s + n*s**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 - 2*z**3 + 208*z + 205*z - 413*z.\nAnswer: -2*z**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-216)\/(-4374))\/((10\/15)\/(-1)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - 10110010?\nAnswer: -10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/51312 and -43\/44?\nAnswer: 564432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4664)\/(-402270))\/(8\/(-28) + (-4)\/35)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/4*1 - (-21)\/28. Let g(v) be the first derivative of 3\/2*v**2 - 3\/2*v**4 - 8 + 3*v + 3\/5*v**5 + y*v**6 - 2*v**3. Solve g(q) = 0 for q.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 1  (b) -4\/3  (c) 1.7  (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17531 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 6:41 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 16110 * 7\nAnswer: 112770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 698 + -1699. Let n = 3939\/4 + h. Calculate the common denominator of -43\/16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 426*t + 117*t - 233 + 238 - 7 - t + 7 + (1 + 3 - 3)*(5*t - 4*t - 3*t) to the form o + s*t and give s.\nAnswer: 540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + sqrt(245) + -1)**2 + ((sqrt(20)\/sqrt(4) + sqrt(5) + 2)**2 - (1*sqrt(125) - sqrt(5))**2).\nAnswer: -20*sqrt(5) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -2470183060 to the nearest one million.\nAnswer: -2470000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.474 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 422676236 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -t + 7, 0 = 3*w + 2*t + 3 + 8. Let x = -3.1 + 2.5. Let i = -25 - -27. Sort w, 0.1, i, x in ascending order.\nAnswer: w, x, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 + -15. Let d be 2*((-9)\/6 + 2). Let m = w + d. Put m, 3, 6 in increasing order.\nAnswer: m, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-11 - -1) + 114 + -110?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 4, d: 4, k: 1, o: 4, b: 5, t: 2}. What is prob of picking 1 o, 1 r, and 1 k?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.424439 minutes in days?\nAnswer: 0.00098919375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(5445) - sqrt(5445)*-2)\/sqrt(9) + (sqrt(15)\/(sqrt(108) + sqrt(3)))**2).\nAnswer: -66*sqrt(5) - 10\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 3*q**2 + 3*q - 12. Let k be z(-4). Calculate the highest common divisor of k and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x = 4*j - 20842 - 29348, -3*x - 25062 = -2*j. Does 20 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/5)\/((-10)\/125*5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -4*p + 1. Let m be f(0). Solve 5*j - 19 = 2*x, -x + 2 = -m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 11775 - 7148. What are the prime factors of o?\nAnswer: 7, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -991 (base 10) to base 14.\nAnswer: -50b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-900)\/8000)\/(117\/312)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 181 - 181 + 10*j**2. Let l(g) = -g**2. Determine l(z(o)).\nAnswer: -100*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43*x + 1 = 44*x, 5*x = 5*r + 20 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 10 + 33 + 29 = 3*q - 110, 0 = -21*q - 5*a + 1134 for q.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.9449*-4.\nAnswer: -11.7796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3974 + -3974.2. Which is the closest to q?  (a) 4  (b) 2  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1437*a**3 - 1433*a**3 - 1439*a**3 + 5719*a**3 - 1412*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.696 and -408.\nAnswer: -1099.968","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i, 1 h, and 2 q when four letters picked without replacement from {h: 1, k: 1, y: 4, s: 4, q: 4, i: 3}.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1010000 - 100111011111?\nAnswer: -101000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 55262\/(-8)*(-38)\/49381. Let p = 441\/113 - c. Find the common denominator of p and 26\/117 + 3\/(54\/851).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a week in minutes?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -2*p - 15. What is the units digit of f(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 3*r - 7*n - 30, -3*n + 1 = 2*r. Which is the closest to 1?  (a) r  (b) 1\/3  (c) -3\/4  (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -135*r + 132*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -3*f. Let x(k) = 12*k. Calculate x(w(b)).\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 0\/(0 + 1 - -1). Suppose 2*w + 5*x + 14 = -2, 4*w + 4*x + 20 = u. Let c = 15705.6 + -15706. What is the nearest to 1 in c, 8, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 5*g = 0. Suppose g*u + 2*u + 5*n - 114 = 0, -2*n = 0. Suppose u = k + 1. Is 28 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*z - 15*z - 22*z - 20*z + 33*z.\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-3)\/a**(-2))\/(a**(1\/4))**(-36))\/(((a\/(a*a**3*a))\/a)\/a**(1\/5))**40 assuming a is positive.\nAnswer: a**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -55*t + 75*t**2 + 20*t - 333*t**2 + 14*t + 21*t.\nAnswer: -258*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -c**2 - 4*c + 14. Let m be v(-6). Suppose -4*d + 0 = -8. Suppose d*a - 42 = -x, x - 22 = m*a + 20. Is x a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 422, 831, 1240, 1649, 2058, 2467?\nAnswer: 2876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the second derivative of -f**4\/8 - f**3\/2 - 6*f. Let i(x) be the second derivative of g(x). Let s(l) = l**2 - 4. Calculate 4*i(r) - 3*s(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 38292 - 38297. Sort 3, m, 951 in increasing order.\nAnswer: m, 3, 951","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 64 - -19. Suppose 4*l - 3*l = r. Suppose -33 = 5*p - l. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 641 + 3*q**2 - 2*q - 4*q**2 + 0*q**2 - q**3 + q. Is y(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(2448)*-3*-1*-4)**2*-3.\nAnswer: -6345216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 285\/2 + -142. Which is the second biggest value?  (a) 5  (b) 3  (c) j  (d) 1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((52\/(-12))\/(-13))\/((-2247)\/(-214))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.006569 to two decimal places.\nAnswer: 9.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29 = w + 5*k, 0*k + 4*k = 2*w + 12. Suppose w*r + 12 = 0, -r = c - 0*r + 75. Let q = c + 105. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4 - 886027*v + 886032*v - 10.\nAnswer: 5*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 + 45*c**2 + 117*c - 375. Calculate l(-42).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 1 + 3)*((-3*j + 2*j + 0*j)*(6189 - 316*j**4 - 6189) - j**5 + 4*j**5 - 2*j**5).\nAnswer: 317*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Total of 109.5487777172 and 0.\nAnswer: 109.5487777172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6)\/12*(64\/80)\/((-2)\/45).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/3 smaller than -51.653917?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*((u*u**(3\/11)\/u*u)\/u)\/u)\/u**14)**45 assuming u is positive.\nAnswer: u**(-6795\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (24 - 35) + (0 - (0 - 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3719558429 to the power of 1\/2, to the nearest integer?\nAnswer: 60988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of i**6\/30 + i**4\/24 + i**3\/6 + i**2 + 4*i. Let m(o) be the first derivative of n(o). Determine m(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of 0*k + 0 + 0*k**7 + 1\/168*k**8 + 0*k**3 + 0*k**5 - 1\/60*k**6 + 44*k**2 + 0*k**4. Find t, given that x(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 12) to base 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.67 plus -176059?\nAnswer: -176059.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -3*o + 34. Let w be a(7). Find the second derivative of -6*b + 35*b - 6*b + w*b**2 wrt b.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3047881 is divided by 3047879.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = -2*k**3 + 327*k**2 - 445*k + 99872. Determine h(164).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the third derivative of 1\/168*q**8 + 0 + 0*q - 1\/12*q**4 + 0*q**5 + 0*q**6 + q**2 + 0*q**7 + 0*q**3. Find the second derivative of b(f) wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4\/28 + ((-566)\/(-7) - -1) is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -4*m**3 + 8*m**3 - m**2 - 3 + 2*m + 0 - 5*m**3. Determine x(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -275.6 + 279.6. What is the third smallest value in w, 1, -1\/79, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 15455633.\nAnswer: 73, 193, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -648, -828, -1238, -1992, -3204, -4988, -7458?\n\"Answer: -19*d**3 - d**2 - 44*d - 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -4*((-143)\/44 - -1). Which is bigger: 62\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 1242 a factor of 4019818698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1, -39, -125, -269, -483, -779?\nAnswer: -1169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4846 + -711. Calculate the greatest common factor of f and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3ade8 (base 15) to base 14.\nAnswer: 4cb16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 68 - 64.3. Let a = -8.7 + l. What is the nearest to 0.1 in 0.5, -1, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 9*o**2 + 12*o**2 + 10*o**2. Let a(t) = 7*t + 16. Let q(v) = -90*v - 204. Let y(x) = 51*a(x) + 4*q(x). Determine y(l(r)).\nAnswer: -93*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = 156 + 40. Let i = -46 - p. What is the least common multiple of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (36738\/287781)\/(9\/6909).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 + 9 + 1)*(-m**2 + 0*m**2 + 2*m**2)*(-5*m + 4*m - 2*m) + 0*m + 2*m**3 + 0*m.\nAnswer: -82*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 - p. Let a = -2 + -7. Let q be 110\/a - (-4)\/18. Let t(h) = -4*h**2 - 4*h + 2. Let n(l) = q*u(l) + 4*t(l). Solve n(m) = 0 for m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.21 - -15.01. Let o = 14.29 - z. Round o to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 709 - (13 - 12)*1*-5. Calculate the smallest common multiple of i\/70 - (-3)\/(-15) and 256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -1, -0.2, 4, -5, 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -2*c**3 + 62*c**2 + 14. Let d be x(31). Solve -28 + 14 = -d*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-3\/4))\/b*b**5*b**(-5)\/(b*b\/(b*b\/b**(5\/2))))**(5\/9) assuming b is positive.\nAnswer: b**(-65\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 232 + 242 - 11*z**2 - 474.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 60, 0.2, -11\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 2*h. Let l(c) be the first derivative of c**6\/90 + 2*c**3\/3 - 2. Let r(x) be the third derivative of l(x). Determine b(r(j)).\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36660 divided by 4.\nAnswer: 9165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = -2*d**2 - 20*d - 6. Let i be g(-10). Let m(c) = -c**2 - 2*c - 1. Let j(r) = -r. Let p(t) = -4*j(t) - m(t). What is p(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -16, 2\/15, 3504, 1\/2?\nAnswer: 3504","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 641238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -216875 (base 12) to base 6\nAnswer: -15205425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 904 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 405676 divided by -202838?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5.92 + -10.954. Let b = 5.06383 + s. Round b to 3 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l + 7. Let n be v(-5). Let b(i) = 56*i**2 + 2*i - 1. Let u be b(1). Suppose -3*s = 3*f - u, 0*s = 5*f + 2*s - 86. Solve -n*h = -6*h - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.084 * 0.14.\nAnswer: 0.01176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let -f**4\/4 - 15*f**3\/4 - 33*f**2\/2 - 29*f - 18 = 0. What is f?\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 150490.196 to the nearest one hundred.\nAnswer: 150500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3701 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1510 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 54895 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o + 1. Let n(j) = -6*j - 7. Let q(h) = -n(h) - 4*x(h). What is q(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.404 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 + -22. Sort f, -7, -4 in decreasing order.\nAnswer: f, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -o**2 - 180*o - 3026. What is b(-19)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 52 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v**2 - 49*v - 315. Determine d(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1120 and 376460?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 46523247 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/13  (b) 2\/21  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2948 + 2952. What is the third smallest value in t, -8, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1213693 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -3*i**2. Let f = -3 - -5. Suppose -4*j = -f*j. Let o(r) = j*r**2 - 5*r**2 + r**2 + 3*r**2. What is a(o(z))?\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*h + h = 3*s + 1, -13*s = h - 8*s - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 172540385 to the power of 1\/2, to the nearest integer?\nAnswer: 13135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, s: 5, b: 3}. Give prob of picking 1 s and 1 b.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**2*y)\/((y*y*y*(y**(-1\/7)\/y)\/y*y*y)\/y*y))\/(y**(-4)\/(y\/((y**(-4)*y)\/y))) assuming y is positive.\nAnswer: y**(71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = r**2 - 3*r - 34. Let m be (3\/6*-5)\/((-30)\/(-60)). Calculate the lowest common multiple of 8 and u(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u - 8. Let l(m) = 1. Suppose 10 = 5*y - 0. Calculate y*q(i) + 14*l(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 - 20*r + 11. What is the units digit of v(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-8)\/846*3*-1*((-684)\/72)\/(-19)\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*t - 97*t = -7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10101 - 0?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (5*7\/(-105))\/((-2)\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y**2 + 3*y + 11. Let w be 171\/(-38)*4\/(-3). Let c be 27\/(-18)*(-20)\/w. Determine d(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 times -111982?\nAnswer: 4479.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.315434l in millilitres?\nAnswer: 9315.434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = 15*l + 81, -5*r + l - 681 + 702 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (36\/(-10))\/((-20)\/200) is divided by (-2 - -15)\/(1\/1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 m when three letters picked without replacement from {z: 1, r: 2, m: 3, c: 4, a: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 64 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2. Suppose -1459 + 1444 = -15*f. Let n(q) = 12*q**2. Calculate f*n(c) - 9*a(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 15 = -20. Let u be (p + (-924)\/(-20))*10. What is the highest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = 10*j**2 + 2*j - 6. Let c(q) = -4*q - 7. Let w be c(-2). Let t(d) = -4*d**3 - 2*d**2 + d. Let f be t(w). What is the tens digit of y(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8095592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 759, 37141 in decreasing order.\nAnswer: 37141, 759, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -527356, -527360, -527364?\nAnswer: -527368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6071 - 103291\/17. Let h = c + 185\/34. Factor h - 1\/2*f**2 + 0*f.\nAnswer: -(f - 1)*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 26 = 166. Calculate the common denominator of 210\/(-24)*18\/20 and (-104)\/j*(-28)\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -a + -dd?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -187*q + 1129. Calculate n(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (-4*((sqrt(208) - sqrt(208)*-1) + sqrt(208)) - (sqrt(208) + -1 + sqrt(208) + -2)**2) + -2)*6.\nAnswer: -5028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*y - 5*v = 13*y - 35, -7 = -y - 4*v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -626*m**3 + 4*m**2 + m - 4. Let w be o(4). What is w rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 3.1 + 0.9. Let f = 7 - y. Let r = f + -2.5. What is r rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18950.0000002585 + 18950. What is g rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-272)\/(-44)*((-81)\/324 - 105\/20)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in 186687, 1\/5, -15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -15*u - 17. Let w(d) = 3*d + 3. Let h(k) = 2*a(k) + 11*w(k). Let v(g) = g**2 - 4*g + 1. Give 5*h(m) + 4*v(m).\nAnswer: 4*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 564262 to the power of 1\/2, to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -44 - (74 + -57 + 12)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*sqrt(153) - (sqrt(17) + -1 - sqrt(17))*2.\nAnswer: -15*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1989 + 2565. Calculate the least common multiple of r and 24.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.16551082 to 3 dps.\nAnswer: -0.166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -100850 + 100854. Factor 8\/5*k + 12\/5*k**r + 0 + 2\/5*k**5 + 26\/5*k**3 + 24\/5*k**2.\nAnswer: 2*k*(k + 1)**2*(k + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 40 - 1. Suppose -6*b = -5*b - f. What is the remainder when b is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 3553200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -218*s - 39*s**3 + 218*s.\nAnswer: -39*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-136)\/3*(-3)\/2. Suppose -5*c = -298 + b. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 4 + 1. Find the second derivative of 6*h**c + 8*h - 11*h**4 + 11*h**4 wrt h.\nAnswer: 120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 516151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-5))\/((-15)\/(-150)). Suppose 5*m = -d - 5 - 35, z*m + 16 = 0. Is 12 a factor of ((-82)\/4)\/(10\/d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1143605 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 45 and 126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10120211112110112 + -11?\nAnswer: 10120211112110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-195)\/(-25) + 2\/10. Suppose -2*c + 2*a = g, -c - 3*c = -5*a + 15. Let f(s) = 4*s + 3. Let i(r) = 2*r + 2. Determine c*i(u) + 3*f(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 + 14 = 3*k. Let m(d) = d**3 - 5*d**2. Let f be m(k). Suppose z - 6*z + 65 = f. 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 the second derivative of 11*q**4 - 282*q**3 + 4306*q - 1?\nAnswer: 132*q**2 - 1692*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -o**4 - 130*o**3 - 4096*o**2 - 7680*o.\nAnswer: -o*(o + 2)*(o + 48)*(o + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, s: 1, x: 2, f: 1}. What is prob of sequence fx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 98308486 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3035 by -5.\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = r**3 + 6*r**2 - 7*r + 2. Determine y(-5).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 230*g - 89. Let c(u) = -461*u + 179. Let d(o) = -6*c(o) - 13*f(o). Differentiate d(a) wrt a.\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**2 + p - 2. Suppose -t - 2*t = -6. Let n be g(t). Suppose -5*x - 3*f + 13 = 0, 7 = 5*x + f - n*f. Calculate the remainder when 5 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that -5*o**2\/2 + 34751545*o\/2 + 34751555 = 0.\nAnswer: -2, 6950311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zwscv. What is prob of sequence zvs?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 = -9*c + 7*c. List the prime factors of c.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 - -21. Calculate the highest common factor of 80 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -454*b**2 - 12. Let c(q) = -2. Let t(n) = -6*c(n) + x(n). Let d(v) = -2*v**2. Calculate t(d(f)).\nAnswer: -1816*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 + 33 + -17 + (-8)\/(88\/(-253))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 63*m - 4. Let u be h(2). Suppose 0 = -k - b + u, 2*b = 4*k - 2*b - 488. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*i**4\/11 + 34*i**3\/11 + 28*i**2\/11 - 136*i\/11 + 48\/11 = 0 for i.\nAnswer: -2, 2\/5, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2 - -65a6?\nAnswer: 65a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.16000044 + 0.16. What is b rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -12.3 and -1025.542.\nAnswer: -1037.842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/76 and 57\/5804.\nAnswer: 110276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6 + 2 - 6) + 11 + 9 + -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = j**3 + 215*j**2 + j + 332. Give r(-215).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 154*z**2 - 154*z**2 + 9*z**3 + 9*z**3.\nAnswer: 18*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7\/((-513)\/(-45) + -10). Solve 0 = -b*l - 5*s - 7 - 3, 3*s + 14 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 189.03 to the nearest integer.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -508*h + 225551. Calculate k(444).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 44\/1 - (12 + -13). Let c = v + -32. Let j = 18 - c. Let f(p) = p**2 - 3*p - 2. What is f(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 11 and 29222?\nAnswer: 321442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (40 - 4040\/100) + ((-96)\/(-70))\/2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/4, 164, -3, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -311 (base 5) to base 9\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.083417 to 4 dps.\nAnswer: -0.0834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -ea9 + -104?\nAnswer: -10ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 752*d**3 + 55*d**2 - 884*d + 3. Let f(s) = 11*s**2 + s + 1. Let p(j) = -5*f(j) + g(j). What is the second derivative of p(z) wrt z?\nAnswer: 4512*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:17 PM and 9:21 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12157590?\nAnswer: 2, 3, 5, 405253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 10221030 + 152?\nAnswer: 10221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/2 - 149*w\/2 - 75.\nAnswer: (w - 150)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/3*11)\/(34265\/(-105)).\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(1\/4))**(-23)\/(c*c*c\/(c*c**(2\/5))*c**(-4\/7)))**(-42) assuming c is positive.\nAnswer: c**(2847\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 38448a (base 11) to base 13\nAnswer: 182bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d*d**(1\/13))\/(d*d**(2\/9)*d))\/(((d\/(d**9*d)*d)\/d)\/d*d)**44 assuming d is positive.\nAnswer: d**(46315\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 9097\/6 or 1515?\nAnswer: 1515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1596692 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 228*f - 420*f + 266 = -206*f for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4, -9, -14, -19?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + (8950\/2100 - 2\/(-12)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1058*n + 2368*n - 26692 = -84934 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3645 and 108135.\nAnswer: 324405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1\/4, -1.999, 1 in increasing order.\nAnswer: -1.999, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -3*x**3 - 13*x**2 - 14*x + 1. Let l(i) = 5*i**3 + 20*i**2 + 21*i - 2. Let z(y) = 8*h(y) + 5*l(y). Calculate the remainder when 63 is divided by z(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -36.00112 + 36. Round y to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/((-2)\/(-1)))\/(-5*3)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -3, 1, -25, 0, -29 in descending order.\nAnswer: 1, 0, -3, -8, -25, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand z - z - 2*z**2 + (-2 + 2 + z)*(z + 2*z + 0*z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 0 - 3 + (0 + 0 + 3)*(-3 - 21 - 9))*(4*w + 5 - 9 - 5*w).\nAnswer: 101*w + 404","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 59782905 by 105.\nAnswer: 569361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of u**6\/30 + 3*u**5\/20 - 61*u**4\/12 - 21*u**3\/2 - 2322*u. Factor v(j).\nAnswer: j*(j - 7)*(j + 1)*(j + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at most -2.796?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (105 - 0)*(0 - 12\/(-9)). Let d(i) = -a*i**2 + 44*i**2 + 54*i**2. Let w(g) = -4*g. What is d(w(z))?\nAnswer: -672*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1 - -106 - (2 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 63863 is divided by 97?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -22306*j**3*n**2 + 2*j**3*n - 2*j**2*n**3 + 6284*j**2*n + n wrt n.\nAnswer: -44612*j**3 - 12*j**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -3*p - 0*j - 4*j, 2*j = -2. Let m(s) = -3*s**2 - 1. Let f(h) = 0*h**2 - 3*h**2 - h**2 - 9 + 8. Calculate p*f(a) + 6*m(a).\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 7 + 18. Solve 0*j + f = -j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (41 - 7 - 14 + r)*(1 - 2 + 0 + (-1 + 1 + 2)*(2 + 3 - 3)) in the form b*r + x and give x.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*p - 130*p - 259 = 325 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**9*l**9*l*l*l**(-20)*l**13\/l assuming l is positive.\nAnswer: l**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = h**3 - 9*h**2 - h + 12. Let g be p(9). Let x be 80\/32 - (-4)\/(-8). Let q be (2 - 2 - (3 + -16)) + x. Solve -g*w + q = 2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.879 times -0.6\nAnswer: -0.5274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 0)*(7 + 27 + (648 - 598))\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*((sqrt(1250) + 0 - sqrt(1250)) + 5)**2.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-74*(-790)\/(-5846))\/((-2)\/(-16))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.09 - 1.91. Which is the second biggest value?  (a) -2  (b) 4  (c) 0.1  (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 19389055?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 1. Let t(u) = -u**2 - 3*u + 2. What is the units digit of t(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -31\/10 - -3. What is the common denominator of -5*(7 + -2) + 1 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r, 1 i, and 1 x when four letters picked without replacement from vrirvx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, -7, -6, 4, 2, -40?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-138)\/(-414)*(79 - 1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n**2 - 7*n + 2. Let b be w(7). Let a = 7 - 1. Solve b*g - a = -g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zmzzzzzmmzmmzmzzzz. What is prob of picking 4 m?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22233, 44368, 66505, 88644, 110785, 132928, 155073?\nAnswer: 177220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 5*g = 25, 2 - 3 = -j + 3*g. Let a be (0\/j)\/(2 + 0). Suppose -2*l - 6024166 - 2775834 = a. Round l to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -9*(-14)\/336*2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 65*i - 63*i - 408. Let a = i - 27. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 126.86 and 54.\nAnswer: 180.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/3)\/(((-1408)\/(-144))\/(-11))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*p + p - 2*p)*((-3*p + 2*p + 3*p)*(-2 - 1 + 1) + 0*p - p + 0*p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1740 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1142, -1178, -1238, -1322, -1430, -1562?\n\"Answer: -12*i**2 - 1130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 6 + -1.74\nAnswer: 4.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 31157, 249336, 841533, 1994756, 3896013, 6732312, 10690661, 15958068?\nAnswer: 22721541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 605171392?\nAnswer: 2, 7, 197, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -149\/8304 and -109\/36.\nAnswer: 24912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -8*y + 4. Suppose 250*z - 8 = 252*z. Let h(k) = 7*k - 4. Let p(r) = z*u(r) - 6*h(r). Let q(f) = -f**2. Give p(q(l)).\nAnswer: 10*l**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 729*a**2 + 88*a**2 - 103*a**2 + (2 - 2 + a**2)*(-1 + 0 + 2).\nAnswer: 715*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/4 in -1, 8, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-6*z + 3*z - 3*z)*(0 - z**2 + 0)*(5*z + 4*z + 11*z)*(-1 + 2 - 3)*(1 + 1 - 6) in the form k*z**2 + i + y*z + w*z**4 + a*z**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 19, 28, 37?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -3\/92 and 131\/690.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1500 and 1577?\nAnswer: 2365500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -8.8 - -13.8. Let m = 0.06 + 0.24. What is the biggest value in 3\/7, i, m?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) be the first derivative of -w**3\/3 - 2571. Let f(n) = 1182*n**2. Calculate m(f(i)).\nAnswer: -1397124*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 122 + -79. Let t = u - -9. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 2*z**2 + 34*z + 35. Let n be p(-16). Let m be (-1)\/(-2*(-1)\/(-18)). Let b(y) = 7 + n*y + 2 - m. Let c(r) = -r**2. What is c(b(x))?\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 61178.032 to the nearest one hundred.\nAnswer: 61200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -404.87 - -526.5. Let b = w + -123. Let d = b + 1.24. What is d rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -0.1  (b) -0.2  (c) -84  (d) -1\/2  (e) -0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 93 and 97371?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2*o + 4)*(0*o + 4*o - 2*o) + 0*o**2 + 2*o**2 - o**2 + (2*o - 27 + 27)*(-4*o + 2*o + 4*o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3 and -1986.\nAnswer: -1989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5461675514.\nAnswer: 2, 19, 47, 241, 12689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m + 184 = -160. Suppose 4*i - m = 18. Solve -4*h = -6 + i for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jq when two letters picked without replacement from rroruuqqjq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 3*q + 2*q - 3*q. Suppose -8 = -3*r - 29. Let m(h) = 3*h - 5. Let n(x) = x - 3. Let o(b) = -3*m(b) + 5*n(b). What is r*g(j) - 3*o(j)?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k**3 - 9*k**2 + 41*k + 31. Determine v(-13).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 460363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(((-40)\/12)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4885753226?\nAnswer: 2, 907, 2693359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*k + k - 2*k)*(0 + 0 - 2*k) - 1 + 1 - k**2 + 2*k**2 - 4*k**2 - k**2 as n*k**2 + r*k + p and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 92 + 79. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + 0*i = -5*j + 20, -10 = 2*j - 4*i. Suppose j*f - f = 8. What is the third derivative of -2*v**3 + f*v**3 - 4*v**4 + 0*v**3 - v**2 wrt v?\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -24*l - 2*l**2 + 14*l + 10*l.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 AM and 7:12 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*m + 18 = -7*m. Let r(o) be the second derivative of o**3\/6 + o**2\/2 - o. Let q(c) = c - 1. Determine m*r(f) - q(f).\nAnswer: f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4275, -8548, -12821, -17094, -21367, -25640?\n\"Answer: -4273*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = 4*k - 4*z, -z = -4*k - 0*z - 44. Suppose -m + i - 4 = -15, -4*m = 2*i - 14. Calculate the least common multiple of m and 2\/(-5) + (-164)\/k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n\/n**(-4)))\/(n\/(n\/(n\/n**17*n)*n)))\/(n*(n*n\/((n\/n**(-2))\/n*n))\/n)**8 assuming n is positive.\nAnswer: n**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 90132 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1010 - -1015. Suppose 14*h + 8 = 12*h. Sort h, -2, q, -3 in decreasing order.\nAnswer: q, -2, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 - 5*d - 11. Let s be u(-2). Suppose 0 = -a, 3*l - 15 = -s*a + 8*a. Solve 2*p + l = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 divided by 231131046.\nAnswer: 1\/77043682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -40312 + -201411?\nAnswer: -242223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -3*x**3 + 0*x**2 + 7*x + 2*x**3 - 10 + 3*x**2 + 3*x**2. Determine g(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1 - -0.8. Let w = -293 + 292. Are w and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1685601 and 19193.\nAnswer: 1903043529","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 41*o**2 - 5629*o + 5367. Let z(r) = 19*r**2 - 2815*r + 2694. Let k(v) = 6*h(v) - 13*z(v). What is w in k(w) = 0?\nAnswer: 1, 2820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x + 10 = -2. Let j = 3 + -2. Sort j, 5, x.\nAnswer: x, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the third derivative of x**5\/12 + 3*x**4\/8 - x**3\/2 + 23*x**2. What is the remainder when 27 is divided by d(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5197 + 103*y**4 - 615*y**4 + 5195)*(5*y + 5*y - 5*y).\nAnswer: -2560*y**5 - 10*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the third derivative of -a**6\/120 + 7*a**5\/60 + a**4\/24 - a**3\/6 - 3*a**2. List the prime factors of q(7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 3*c - 15 = -3, -18 = -f + 3*c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 15*w = -34 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k**2 + 1039*k + 73708. Determine c(-63).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 47236 and 588.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -5*h**2 - h - 1. Let j(u) = -9*u**2 - u - 1. Let a(i) = 4*j(i) - 7*k(i). Let z be a(3). Suppose -v + z + 3 = 0. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3132122 (base 4) in base 10?\nAnswer: 14234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28896532*-3.\nAnswer: 86689596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 0.2, 1, -124, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l + 5. Calculate k(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -12, 74\/9, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o*o**6\/o)\/o*o*o)\/o*o**7)\/(o*o\/(o*o**(-2)\/o)*o**(-5)) assuming o is positive.\nAnswer: o**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 1291299137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 3*h - 5*h**2 + 8*h**2 - 15*h + 10 - 4*h**2. Is 10 a factor of g(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z = -4*a - 5*z + 8, -4*a = -4*z - 28. Suppose 5*g = -0*g + 70. Suppose 8 = a*y + m, g = -0*y + 2*y + 5*m. Solve -y*j - 4 = 2*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1168 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, l: 1, q: 3, c: 1, n: 7}. What is prob of picking 1 g and 2 l?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes before 7:24 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the first derivative of -1\/4*b**4 - 1 - b - 3\/2*b**2 - b**3. What is q in y(q) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z + 0*z = -8. Let m = -631 - -13863\/22. Calculate the common denominator of ((-51)\/z)\/(3 + 6) and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 11 + 1696\/(-192)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 16.5, -13, 1\/57?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**4\/5 - 46*b**3\/15 - 22*b**2\/15 + 46*b\/15 + 28\/15 = 0. What is b?\nAnswer: -7, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*w - 2*n - 55 + 77, -2*w - 16 = 4*n for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.11592 + 4943023?\nAnswer: 4943021.88408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10 - 16 = -b - o, 4*b - 19 = -3*o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 237 and 397971.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1 + 5. What is the derivative of 0*p + 6*p + 18 - l wrt p?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 22.22 and 578.\nAnswer: 600.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((b\/(b**(-2\/29)\/b)*b)\/b*b)\/b)\/(b*b**(-4\/5))*(b\/(b\/(b\/(b\/b**1))))**(-10))**(-17\/2) assuming b is positive.\nAnswer: b**(20043\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -19*n**2 - n - n**3 - 16*n + 5*n**2 + 13 - n. Is x(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3307 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 26155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 26.311 + 0.189. Let f = -25.88 + c. Round f to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (44\/6 - 4)\/(2\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 144537*c*o**2 + 2844*c*o - 6*c + 407*o**2 - 23 wrt o?\nAnswer: 289074*c + 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-6)\/u)\/(u\/(u**(-5)*u)))\/(u*u**(-1)*u)**(-15) assuming u is positive.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 125*q**3 + 950*q**2 + 1280*q + 480 = 0. What is q?\nAnswer: -6, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 divided by -49?\nAnswer: -16\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 15308871 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (18\/(-54) + 2\/(-3))\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**3 + 4*v**2 - 3*v + 2. Let k be x(3). Suppose 0 = -k*n + 7*n - 15. Solve -6 = f - n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.002852 rounded to 4 dps?\nAnswer: -0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c + 6. Let x(s) = -s**3 + 7*s**2 - 8*s. Let l be x(7). Let a be (-210)\/l - 6\/8. Let q be w(a). Solve 5*t = 3*g - 12, q*g = -t + 4*g - 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1.8916+-2.5\nAnswer: -0.6084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 216*d + 494 + 67 = 165*d for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 149b (base 13) in base 11?\nAnswer: 2289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 345 = 4*a + 4*z + 337, -2*z = -4*a - 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 112143120 a multiple of 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -18*j + 767*j**3 + 0*j - 1535*j**3 - 3 + j**2 + 771*j**3 in the form w*j**3 + u*j + c + a*j**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 1138761.83 to the nearest 100.\nAnswer: 1138800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 4797130 a multiple of 128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 2\/7  (b) 5  (c) 62.4  (d) 1  (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-111 - 13)*(-4)\/(48\/27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 2*a - 3. Let n(l) = -10*l + 6. Let v be n(-4). Suppose 4*b - v = 2*o, o = a*b - 3*o - 20. Solve -m + 4*m + b = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -157*l + 160. Calculate the remainder when s(-6) is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 3072*n**2 - 8*n + 8. Let j(q) = q**2 - q + 1. Give a(y) - 8*j(y).\nAnswer: 3064*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 133424727?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -27626900 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 28, 56, 104, 178, 284, 428?\nAnswer: 616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 7965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1297057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 9 - 14. Let w(j) be the second derivative of -j**3\/3 - j**2 + 14*j. List the prime factors of w(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -58722, -117423, -176124?\nAnswer: -234825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 19\/4 of a millennium?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 72 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 165\/7 in 13, -0.056, 2, 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1066408\/27244 - 36\/7?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 813717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 + -1. Let r(h) be the third derivative of -5*h**4\/24 + 7*h**3\/6 - 79*h**2 - h. Let g(o) = 2*o + 3 + o - o - 4*o. Determine k*r(n) - 7*g(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, g: 1, n: 1, s: 2, j: 1, u: 1}. What is prob of sequence uj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -28\/13*p + 14\/13*p**2 + 16\/13 - 2\/13*p**3.\nAnswer: -2*(p - 4)*(p - 2)*(p - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 147481 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 3*b**2 + b + 71. Suppose q + q = -4*q. Let w be j(q). Let l = w + -24. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 427*a + 2426. Determine t(-4).\nAnswer: 718","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9659207.\nAnswer: 419, 23053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + 12*r - 19. What is d(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**3 + 11*n**2 - 23*n - 2. Give j(-13).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -87 by 29.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-13 + (-15 - -20))*22\/(-10). Which is bigger: l or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of 0*f**3 - 23\/35*f**6 + 0*f**2 + 170 + 0*f**4 - f - 1\/98*f**7 - 1587\/140*f**5. Determine g so that p(g) = 0.\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13673, -21369, -29069, -36773?\nAnswer: -44481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (d - 3*d + 4*d)*(-4*d**2 + 4*d**2 - 2*d**3) - 32*d**2 + 32*d**2 + 20*d**4.\nAnswer: 16*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-4*(-2)\/(-10))\/(34\/17)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 14?  (a) 1\/4  (b) 4  (c) 2\/11  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 13212, 22291, 31370, 40449, 49528?\nAnswer: 58607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 627\/2844 - 36\/144. Let p = -1069\/1422 - m. Find the common denominator of (-6)\/88*34\/33 and p.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o*o\/((o\/(o*o\/o**1))\/o))\/o)\/o**(-5)*(o*o**(-13))\/o*o*o*o**1)**(-19))**(-2\/53) assuming o is positive.\nAnswer: o**(-114\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 28513 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.208376 + -0.211. Round r to 4 decimal places.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*b + 6*o - 3*o - 63, 5*b - o = 99. Calculate the lowest common multiple of b and (-7)\/(-3)*(-36)\/(-14).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**4\/5 - 36*x**3\/5 - 5547*x**2\/5 - 1102*x.\nAnswer: x*(x - 95)*(x + 1)*(x + 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 14557 + -5?\nAnswer: 14552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-6 + 1 + 3 - -5) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48 and 76650.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g = 3*g + 4*c + 29, 0 = 3*g + 5*c + 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 43\/2 of a century in months?\nAnswer: 25800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -855 = -5*f + 4*a, 2*f + 0*a + 4*a = 370. Let n(s) = 2*s**3 - 32*s**2 + 119*s + 80. Let t be n(10). What is the greatest common factor of t and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-183*y + 39*y - 52*y)*(-3 - 2 + 3)*(-1 - 4 + 3).\nAnswer: -784*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 10 + 1 = -5*u, 0 = -3*h - 5*u - 3. Let v(s) = -4*s + 24. Let y be v(h). Let k be -1 + y*(-156)\/4. What is k rounded to the nearest 10?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 15, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 422 and 1.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 430 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w**3 + 15*w**2 + w + 11. Let m be v(7). Let a be -4*((-4)\/16*30 + 5). Calculate the greatest common divisor of m and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*-172108.\nAnswer: 516324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from rjjjjjjrj. Give prob of picking 2 r.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -67 - -73. Let m = -25 + c. Which is greater: -15 or m?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*k**4 + 165*k**3 + 1060*k**2 - 5580*k - 6480.\nAnswer: 5*(k - 4)*(k + 1)*(k + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (17 + -11 - (-8 - (-8 - 2))) + -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -9*(152 + 0 + -2). Calculate the common denominator of -91\/18 and ((j\/21)\/6)\/(8\/(-14)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 726846 (base 9) in base 3?\nAnswer: 210220221120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g**2 + 5*g + 33. Calculate m(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:55 PM and 7:29 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 14922.38 centuries in months?\nAnswer: 17906856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:31 AM and 4:15 PM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.61 or -842.141?\nAnswer: -842.141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*r**3 - 381*r - 140*r**3 + 381*r + 77*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8216, -16421, -24618, -32807?\n\"Answer: 4*u**2 - 8217*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -2*n**2 - 2*n + 2. Let o be g(-3). Let a be (o\/(-6))\/((-2)\/3). Let x = -136 + 135. Put 0.7, x, a in ascending order.\nAnswer: a, x, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -360546500 rounded to the nearest one hundred thousand?\nAnswer: -360500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1)\/(-2))\/((22\/4)\/(-11)). Let s(v) = -v**2 + v + 1. Let c(q) = -5*q**2 + 3*q + 20. What is t*c(z) + 3*s(z)?\nAnswer: 2*z**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-15)*(325\/50 - 49)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n*n*n*n\/(n**2*n)*n*n*n*n**(-1\/7)*(n**0)**20 assuming n is positive.\nAnswer: n**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -43 - -244. List the prime factors of p.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 306.24 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k - 33 = -z, -52 = 5*z - 2*k - 217. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 245230 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -48*c + 824 - 152 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 + 7*t - 2. Let k(w) = -2 - 6*w + 5*w + 8*w - w**2. Let s(h) = 2*i(h) - 3*k(h). What is the units digit of s(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 366 + -101. Let i be ((-4)\/5)\/((-106)\/v). Solve 3*b - i*y + 10 = -6*y, -y - 2 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5 - 0) + (-3)\/(-3). Let i be (-14)\/z + 1\/(-2). Let v = -3 + i. Is -1\/4 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -106*c**3 - 5*c**2 + 3*c. Let i be g(-3). Suppose 6*p = i + 2868. Does 43 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) -5  (c) 1  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -48182, -48170, -48158?\n\"Answer: 12*v - 48194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -7, -2, 2\/1755, 3, 0.5, 1\/9, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-18) - 136\/(-36). Let l = -25.3 + 25.4. What is the nearest to 1\/2 in l, w, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -109 + 2066962*j**2 - 2067654*j**2 + 109.\nAnswer: -692*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 12171416.25*-2\nAnswer: -24342832.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.41 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(-4)\/(q*q**(-10)*q*q) assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2296 + -4545\/2. Calculate the common denominator of -47\/1639 and x.\nAnswer: 3278","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 693142.\nAnswer: 2, 113, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - f - 822, 1238 = 503*a - 506*a - 4*f. What is the nearest to -2 in 1, a, 0.2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 105 and 481775?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 413237, -2, 4.\nAnswer: -2, 4, 413237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**16\/m)**(1\/37)*m**(-3\/7)*m*(m\/(m\/m**(-21))*m)\/m*m assuming m is positive.\nAnswer: m**(-4927\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - 4 = -4*d, 3*d - 26*m - 7 = -25*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**3 + 27*x**2 - 10*x. What are the prime factors of n(9)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -5 + (-1 - 3 - -3). Let t(w) = 2*w**3 + w**2 + 6. Let q(v) = -5*v**3 - 2*v**2 - 11. Give s*q(j) - 11*t(j).\nAnswer: 8*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 231 and 131775.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*m**5 - 3*m**3 + 3*m**3 + (0*m**2 + 0*m**2 - 2*m**3)*(0*m**2 + 0*m**2 + m**2) + 3*m**5 - 4*m**5 - m**5 + (6*m**4 + 0 + 0)*(2*m - 2*m + 2*m).\nAnswer: 6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -519*f + 302*f + 215*f + 151*f.\nAnswer: 149*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 - (8 - 5) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -173*q + 84*q + 95*q - 378 = 0 for q.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/(-288))\/(((-5)\/214)\/(-5)) - 63\/84.\nAnswer: -1\/144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 33*t + 7. Calculate f(1).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 19 - 8. Let v(o) be the first derivative of o**2 - 8*o + 1. What is the remainder when v(f) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 2018, -1 in descending order.\nAnswer: 2018, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5101 + 1584 = -191*t for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/4)\/4 - 5*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -2018 from -94.\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the third derivative of -v**7\/105 + 1093*v**6\/120 - 9251*v**3\/6 - 1301*v**2. What is the derivative of g(j) wrt j?\nAnswer: -8*j**3 + 3279*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/7, 1\/903, 2\/71 in decreasing order.\nAnswer: 2\/7, 2\/71, 1\/903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*o - 4*o + 5*o + (3*o + 4*o - 6*o)*(-7 + 2 + 3) in the form h*o + s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 38037973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) be the third derivative of 1\/150*s**6 + 18\/5*s**3 + 0 + 15*s**2 + 3\/25*s**5 + 9\/10*s**4 + 0*s. Factor y(u).\nAnswer: 4*(u + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 + -5 + 12 - ((3 - 6) + 0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-232)\/(-5) - 30\/(-50). Let u = j + -45. Suppose 9*p + 2*p + p - 8*p**u - 4*p**3 = 0. Calculate p.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 25 = -23. Suppose 0 = 4*x - 3*l - 20, 0*l = 4*l + k. Find the second derivative of v**4 - 3*v**3 + x*v - 2*v**4 + 3*v**3 wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28089?\nAnswer: 3, 3121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1\/2*f**2 + 0 + 0*f - 1\/2*f**3.\nAnswer: -f**2*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2*f - 2 = 0. Suppose 5*y - 87 = 4*p, 2*p + 41 = f*y + 3*y. What are the prime factors of -2 - p - (-4 + 5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3 - -2402353205?\nAnswer: 2402353202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 6\/(-10) + (-1494)\/(-15). Let i = 39 - h. What is the remainder when ((-6)\/(-4))\/((-9)\/i) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -365.0679 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 78*i**2*k*r**2 - 3*i**2*k*r - 2*i*k*r**2 + 25*i*k*r + 23*k + r**2 wrt r?\nAnswer: 156*i**2*k - 4*i*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 15 + (50 - 87 - (-17 + 1))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 440*n = 430*n + 10 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-5)\/((-5)\/(-1)) + 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 + 207*r - 303. What is x(0)?\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 186 is divided by 89.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12281135 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2273 + 1089. Let r = b - -1184.00000509. Round r to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find l such that -4*l**2 - 190*l + 824 = 0.\nAnswer: -103\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1144024?\nAnswer: 2, 7, 31, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5110970 by -164870.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1377 - 976 + 172 - 293 + 290)*(d**3 - d**3 - d**4) in the form j*d + b*d**4 + q*d**2 + p*d**3 + l and give b.\nAnswer: 2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 8857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6.55?  (a) -5  (b) -17  (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 170 + -145. Find the second derivative of 1 - 5 - 20*f**5 + 2 - 36*f**5 + y*f wrt f.\nAnswer: -1120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -73 + 60*g + 35*g - 90*g. Let s be a(14). Is -44\/29 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of -x**4\/4 + x**3\/3 + x**2\/2 - x - 4. What is q(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-w - 2 + 2)*(-w**3 + 5*w - 5*w).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r, -p - 3*r = -0*p + 12. What is the remainder when 43 is divided by 18*((-16)\/(-20))\/(p\/(-20))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -105, -915, -3117, -7407, -14481, -25035, -39765, -59367?\n\"Answer: -116*o**3 + 2*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 209 a factor of 16\/(640\/1513148) - 6\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 90*(2 - (5 - 2)). Let q be (-108)\/j*(-5)\/(-2). Suppose -5*x = -q*r - 8 + 30, -5*r = 2*x + 15. Let h(w) = -7*w. Give h(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -4*z**2 + 13. Let m(g) = g. Calculate l(m(u)).\nAnswer: -4*u**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -351361*s**4 + 107738 wrt s?\nAnswer: -1405444*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/2 and 78\/(-12) - 2\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*x + 2*x = -350. Calculate the highest common factor of 28 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2041 and 1742?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 8\/((-16)\/(-119) - (-38)\/(-399)). What is the greatest common divisor of 952 and c?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1\/266, 3\/10, 2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, k: 2}. What is prob of sequence ekee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, 2, 1 in ascending order.\nAnswer: 1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 16 and 26398.\nAnswer: 211184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 - 2*a - 6. Let z be u(4). Let r be (2 - z)\/(5 - (-1 - -7)). Suppose 0 = -2*n - t + 2, r = n + 3*t - 8*t + 21. Put -3, n, 5 in descending order.\nAnswer: 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 9.83 - -0.17. Let s = -15 + k. Let w = s + 7. Which is the third biggest value?  (a) -2  (b) w  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + y + 15 = 0, -29 = -5*v + y + 2*y. Calculate the lowest common multiple of 166 and v.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 65\/11 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16931*x = 14297*x + 242328 for x.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 120357, 481447, 1083263, 1925805?\nAnswer: 3009073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 18\/11, -24, 2\/5, -10?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6709.55 rounded to the nearest ten?\nAnswer: 6710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from aabbabbabbb?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-21)\/(-63)*(0 + (-9)\/(-5)). Let s be 1*(-12)\/72*-30. Which is the nearest to -5?  (a) y  (b) s  (c) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - i = -8, -16 = i - 18 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*p - 8885 - 10651 = 0. Let x = p + 1468. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -1 - (0 - 3) - -2. Let t be (10\/4 + -3)*-6. Sort t, p, 0 in decreasing order.\nAnswer: p, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24077510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of -k**4\/4 - k**3\/3 + 10. Let j be g(0). Is 17 a factor of j + 27*2 + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7537 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 1401684 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-2)\/(-8)*91\/(-182)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -668*f**3 + 64561*f**2 - 7815*f**4 - 812*f**3 + 7820*f**4 + 44959*f**2.\nAnswer: 5*f**2*(f - 148)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -170145.97 to the nearest one thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 91*p + 5. Let m(c) = -29134*c. What is r(m(i))?\nAnswer: -2651194*i + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 458, 915, 1372, 1829, 2286?\nAnswer: 2743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a + 5. Suppose 4*z = 26 + 14. Calculate the smallest common multiple of z and f(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1785 + 1793. Is 4\/11 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 3*s + 1, -9 = -4*s + 3*s + 4*m. Solve 0 = -p - 1 - s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7658850 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t = 13*t - 55. Suppose 3*a = a + t*f - 2, 5*a = 4*f - 22. What is the third biggest value in -4\/3, 1\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1148 and -1150.\nAnswer: 1320200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4, -59, -0.00481, 1?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4400418 and 905004.\nAnswer: 6558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1393 a factor of 65515576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 2:44 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*((p**2\/p)\/p)\/p*p**(-1\/6)*p)\/(p*((p*p**(-2\/3)\/p)\/p)\/p*p*p**(6\/5)))**(-10) assuming p is positive.\nAnswer: p**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 23 + -73?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7268, 29259, 65972, 117413, 183588, 264503, 360164, 470577?\nAnswer: 595748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*t + 19*t = -24. Let n = -58 + 60. Solve x + t = -n*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 267 - 259.7. Let c = 8 + -1. Let t = h - c. Put 3, -4, t in ascending order.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 5*a**2. Let q be n(-1). Find the second derivative of -3*c**q - c**5 + 7*c**5 + c wrt c.\nAnswer: 60*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-169)\/539 + 2094\/19195*(-20)\/(-8)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 56 - 559\/10. Let k = -16395 - -16398. Let 2\/5*f**2 - g*f**k - 1\/2*f + 1\/5 = 0. What is f?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6168 and 8328.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2270 is divided by 396.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 105339?\nAnswer: 3, 13, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -65, -89, -119, -149, -173?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 - 9 + 80*s**2 - 2.\nAnswer: 80*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 9, n: 7}. What is prob of picking 4 n?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the second derivative of -f**3\/6 + 3*f. Let y be p(-2). Suppose -o - y*o = -3*u + 9, -5*u + o + 31 = 0. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-f - f + 5*f)*(315 - 315 + 10*f)*(4 - 4 + 2) + (-f + 3 - 3)*(-1 + f + 1) as k + i*f**2 + m*f and give i.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -6*q - 7. Suppose 5*r + x = 3*x - 25, 5*r - 4*x = -25. Is k(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*g - 223 = -277. Solve -11*v - g = -8*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ohvsolv. What is prob of picking 1 h, 1 s, and 1 v?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 7 - 30 = 0. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 8\/7 in 5, -143\/5, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(125)*5 - sqrt(5)) + (sqrt(125) - ((sqrt(125) + 2 - sqrt(125)) + sqrt(125) - sqrt(125))))**2 + -1.\nAnswer: -116*sqrt(5) + 4203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 75 - -5?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 194 = p - 197, 3*d = -5*p + 36. Solve -5*b - p*h + 15 = -12*h, 15 = b - 3*h for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14181 divided by -29.\nAnswer: -489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -6*c*y**3 - c*y - 2*y**3 - 15 wrt c.\nAnswer: -6*y**3 - y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.5  (b) -4.9  (c) -13  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 5*j**3 - 4*j**2 - j + 1. Determine u(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 26335 divided by 5267\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*p - 13*p + 377 = 0. Is p less than or equal to -27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 84*c + 86*c - 43*c**2 - 170*c. Let y(s) = 62*s - 33*s - 27*s. Give y(p(w)).\nAnswer: -86*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 24589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 701579 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -2*f**2 - 11*f - 20. Let v = 11163 + -11173. Determine n(v).\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -93 - -467\/5. Which is the fourth biggest value?  (a) 0  (b) 5  (c) p  (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 4*m + 14. Let i be s(9). Let r = -57 + i. Is 1 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1\/((-10)\/(-44)) + (-6)\/15. Solve -i + 8 = -3*u, -2*i + 5*i = j*u + 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 9308021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1387 - 27747\/20. Find the common denominator of -65\/24 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 32 = -3*j + 2*t, 2*t + 26 = -4*j. Let n be 7\/3 - 6\/j. Suppose -n*d + 45 = 4*g - 6*d, -5*d = 15. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 517*k**2 + 2*k + 2. Is s(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12\/8 - (-21)\/2. Suppose 0 = -3*y + t, 250 + 126 = 4*k + 2*y. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of 5*y**4\/4 - y**3\/6 + y**2\/2 + 8*y + 32. Let u(j) be the first derivative of d(j). What is the units digit of u(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/6*(611\/3380 + (-108)\/3510)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15*b + b + 11*b + (-12 + 20 + 8)*(-b + b + b))*(-b**4 - 2*b**4 + b**4).\nAnswer: -86*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3288564 is divided by 52.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, 1, 36, 5, -27 in increasing order.\nAnswer: -27, -16, 1, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 33 + 52. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 106572 by 6.\nAnswer: 17762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 115\/224 and 93\/532.\nAnswer: 4256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 277333 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -y + 4 - 9*y - y as d*y + j and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 431965 and 1615?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express -15303*o**2 - 5309*o**2 + 309*o**2 - 5570*o**2 - 9584*o**2 as r*o + j + h*o**2 and give h.\nAnswer: -35457","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -32*f - 224. Let o be c(-7). Solve 7*i + o*i = 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 2 = -3*h. Let c(g) = g**2 + 14*g + 26. Let x be c(-12). Suppose -19 = -2*s - z, -z = h*s + x*z - 21. Solve -4*r = -r - s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 16 = -2*f, 5*f + 5*p + 1 + 4 = 0. Let b be -3*(50\/15 - 4). Is f equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 - 0) + 10\/(-1). Let i = -0.1 + 0.1. Which is the closest to 0.1?  (a) i  (b) j  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 536624588 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = 5*m - 22. Solve 4 = 6*c - m*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 4, p: 2, v: 1, a: 8, k: 1}. Give prob of sequence ky.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 171*m**4 - 76*m**3 - 2*m - 451448.\nAnswer: 684*m**3 - 228*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 74\/7 in 9, 3, -3, 1, -0.2?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 41, -520, 39, -3.\nAnswer: -520, -3, 39, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*w = -548*w + 13775 + 8338 + 13292 for w.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1\/16)*i*i**(-5)*i)**(-16)*((i*i*i**(1\/3)*i)**(-40))**32 assuming i is positive.\nAnswer: i**(-12653\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**3 + 6*m**2 + 5*m + 2. Let r be w(-5). Let a be r\/6 - 149\/(-3). What is the highest common factor of a and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -23*y + 62*y + 102 - 23*y - 25*y. Determine b(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 83320690 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 8.568718 millennia?\nAnswer: 102824.616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1 + 1120040?\nAnswer: 1120035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 74 = -3*z + 8*z, -4*c = -5*z + 54. Calculate the remainder when 26 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -l**2 + 10*l + 7. What are the prime factors of y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2.2919 - -0.2919. Let i = -2 + 6. What is the second smallest value in i, l, -6?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7 - -5) + -19 + -2 + 34 + -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.14 - 14295287\nAnswer: -14295286.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 55*z**2 + 11*z - 21. Let t be v(2). Let x = t + -9. What are the prime factors of x?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -56 + 46. Let v be 16\/40 - 36\/c. Suppose 0 = -6*b + v*b + 52. What is the remainder when 129 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -127  (b) 1\/2  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 + 23*x**2 - 32*x - 191. What is t(-24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 64\/(-432)*39 - 4\/18. Let x(w) be the third derivative of -1\/24*w**4 + 0*w - 4*w**2 + 0 + 1\/6*w**3. What is x(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 1708873?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*h**2 - 3*h**2 - 4*h**2)*(-1 - 5 + 4) + (-4 + 1 + 1)*(h**2 - 9*h**2 + 2*h**2).\nAnswer: 38*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 105, 213, 321, 429?\nAnswer: 537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 377.28 - 377.58. Sort 0.5, z, 5, -35.7, 1 in decreasing order.\nAnswer: 5, 1, 0.5, z, -35.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1565687 - -3?\nAnswer: 156568a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -9*s**3 + s + 6. Let u(w) = 17*w**3 - 2 + 18*w - 20*w - 9. Let a(d) = -11*o(d) - 6*u(d). Find the second derivative of a(r) wrt r.\nAnswer: -18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*z + 34 - 3*z - 44)*(-3 + 6 - 1) to h*z + n and give n.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) be the second derivative of 0 + 3\/20*c**5 - 81\/2*c**2 + 27\/2*c**3 - 9\/4*c**4 - 5*c. Find q such that v(q) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -18*t + 794 + 34. Let z(o) = 8*o**3 - 2*o + 1. Let s be z(1). Suppose h - s = 5. Calculate the remainder when t is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 25 - 7 = 4*a, -6*v = -2*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 18\/(-15)*(-325)\/10 + 8. Calculate the greatest common divisor of 517 and i.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -10718*h + 7. Let j(o) = o**2. Determine j(c(f)).\nAnswer: 114875524*f**2 - 150052*f + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/140 + (-186)\/112 + 1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -252\/65 - -4307\/1235. What is the common denominator of 56\/5 and q?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the second derivative of -q**3\/3 - 6*q. Let m(b) = 23*b. Calculate m(t(w)).\nAnswer: -46*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -433 - 1?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {k: 7, l: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*x**3 + 7*x**3 - 33*x**3 + 3*x**3.\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d + 19. Let a be w(17). Let h(t) be the third derivative of -a*t**2 + 0 + 0*t**4 - 1\/12*t**3 + 1\/120*t**5 + 0*t. Let h(q) = 0. What is q?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5070 - -22?\nAnswer: -5048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22798?\nAnswer: 2, 11399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 5, -2 in descending order.\nAnswer: 6, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(720) - (-1 + sqrt(720) + sqrt(720)))*-2)**2 + 4)*6*2.\nAnswer: -18432*sqrt(5) + 553776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 378.8 + -296. Round h to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*o**2 + 6754*o - 6756 = 0. What is o?\nAnswer: -3378, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) be the first derivative of -o**7\/420 - o**6\/360 + o**5\/40 + o**4\/24 - 6*o**3 + 2*o + 4. Let y(z) be the third derivative of h(z). Determine y(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-45)\/(-27) - 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b (base 16) to base 6\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -11104.8 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 45907313.479 + -45924039.5370073. Let w = -16725.93 - y. Let r = w - 0.128. Round r to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 160608041*c**2*d**4 - 44384*c**2*d + c**2 + 2*d**4 - 333*d wrt d.\nAnswer: 1927296492*c**2*d**2 + 24*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11892, -23774, -35656, -47538?\nAnswer: -59420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*b*j**2*r**2*z - 90*b*j**2 + b*j*r*z + b*j*z - 68*b*r**2 - 2*b*r*z - j*r - 2*r**2*z - 2*r wrt r?\nAnswer: -10*b*j**2*z - 136*b - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.308 - -0.2984. Let k = -0.00960029 - l. What is k rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 549 minutes after 2:45 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/3  (b) 1  (c) -680  (d) 4  (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -384370000 rounded to the nearest one million?\nAnswer: -384000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 11:45 PM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 1) + 1 + -3 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8533133761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 47575\/21 + -2265. Is 0 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:00 PM and 2:34 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 636624 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10878 and 231?\nAnswer: 119658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14 + -1 + 26 + -17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*q - 21*q = 23*q + 33. Solve -g + q*p + 25 = 19, -p + 6 = -3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 143*a**2 + 1456*a + 36. Give h(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do -85247 and -85245 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 2 = -a. Let i(d) = 15*d + 7. Is i(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5428*z**2 - 6204*z**2 - 2*z**3 + 0*z**3 + 1.\nAnswer: -2*z**3 - 776*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -v**2 + 4*v - 6. Let l(n) = -2*n**2 + 7*n - 12. Let z(g) = -3*l(g) + 7*q(g). Let d be z(6). Suppose d = -2*t - 0*t + 12. Solve -o - t = -1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 16331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d + d - 2*d)*(-2*d + 0*d + d + (-4 + 1 + 4)*(-6*d + 4*d + 4*d) + (-2*d + 2 - 2)*(245 + 380 + 488)).\nAnswer: 4450*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2*-2*203\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 5 = -1. Which is smaller: v or 2\/109?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/5)*i*i\/i**(3\/2)*i)\/(i**(1\/7)*i**(-1)))\/(i**(-4)*i**(-2\/3)*(i*i*i\/(i**(-2\/3)*i))**(2\/31)) assuming i is positive.\nAnswer: i**(42001\/6510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -112*(2 - 20\/7). Suppose 0 = -2*z - z - 2*k + c, -2*k = -6. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -p - 3*p - 6, 0 = 2*p + 8. What is the third derivative of -29*z**3 - 20*z + z**b + 2*z**2 - 2*z**2 + 25*z wrt z?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -357626 - -357670. Suppose 3*r + 6 + 0 = -3*b, -2*b - 8 = 0. Solve r*x = 13*x + j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:24 AM and 5:50 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1074553 to the nearest integer?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 922071 and 4196.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of b**4\/12 - 22*b. Let t(i) = -2*i**2 + 8*i. Determine k(t(u)).\nAnswer: 4*u**4 - 32*u**3 + 64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 672 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 30\/(1 - 1\/(-2)). Suppose -x + 2*x - 49 = 5*t, -3*t = 5*x - 189. Let y be 11\/3 + 13\/x. What is the highest common factor of y and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1012283, 8098223, 27331487, 64785737, 126534635, 218651843, 347211023, 518285837?\n\"Answer: 1012277*k**3 + k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(-5 + 2) - -1. Let t(m) = -1. Let v(i) = -i + 2. Suppose -2*l + 5*l - 3 = 0. Let w(n) = l*v(n) + 2*t(n). Let y(q) = -5*q. Calculate b*y(o) - 3*w(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 - 2*d - 1. Let o(h) = -67*h**4 - h**3 + 3*h**2 - 6*h - 138. Let w(t) = 3*c(t) - o(t). Differentiate w(f) with respect to f.\nAnswer: 268*f**3 + 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -489*u + 239*u + 244*u - 26. Let d be i(-6). Solve -5*n + 5*g + d = 0, -4*n + 12 + 11 = g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -4*f**4 - 4*f**3 - 4*f + 173. Let s(v) = 7*v**4 + 5*v**3 + 5*v - 172. Let l(m) = -5*g(m) - 4*s(m). What is the first derivative of l(n) wrt n?\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/4)\/((-135)\/(-54)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -238*y**4 + 2*y**3 - 8734*y**2 + 108610*y + 6 wrt y.\nAnswer: -2856*y**2 + 12*y - 17468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 112, -76, -428, -974, -1744, -2768, -4076?\nAnswer: -5698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0\/(-4*(-2)\/(-4)). Let c be (-4 - -7) + j + 0. Let x = 28 - c. Calculate the greatest common factor of 25 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-12)*-4*3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3 (base 9) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3.6 + 6.4. Sort m, 0.3, 0.4 in ascending order.\nAnswer: 0.3, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -10*n**2. Let m(a) = 4*a**2 + 12*a**2 - 2*a**2 + 5*a**2 - a**2. Determine m(k(h)).\nAnswer: 1800*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 902 + -770. Calculate the highest common divisor of l and 352.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(9\/6) - (-2592)\/16. Let q = j + -2096\/13. Put q, 0.3, -5 in decreasing order.\nAnswer: 0.3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = 9537*v**2 + 166*v + 1877. Is g(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 7*f = -39, -3*g - 5*f = -4*f + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 21539 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12804, 103300, 348924, 827238, 1615804, 2792184?\nAnswer: 4433940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/((-1)\/(-8)) - 4. Factor k + 3*j - 2*j**2 + 0*j**2 + 0*j - 5*j.\nAnswer: -2*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-21)\/(-2))\/(4\/8). Suppose k = z + 7. What is the remainder when (-1)\/(-3 + (-77)\/(-26)) is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 9268067378?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 9) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20 - (20 + -5 + -4 + -1)) + -27.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8234 (base 9) to base 13.\nAnswer: -2986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -10 + 3. Let j = p + 30. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -2, 0 in descending order.\nAnswer: 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16 + 2 + (20 - 16) - -32.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9834 is divided by 286.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -109, -110, -111, -112, -113, -114?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6523195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*b - 40*b - 68*b.\nAnswer: -88*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*w + 262 - 262 + 13*w.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -855 - -4316\/5. Let f = 39\/5 - z. Put 52\/9, -1\/4, f in decreasing order.\nAnswer: 52\/9, -1\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -19 + 27. Suppose 2*t = -2*t + f. Let q(j) = -j**3 - j**2 - j + 1. Let r(d) = -3*d**2 + 4*d**3 - 3 + 4*d**2 + 2*d + 0*d. Give t*q(g) + r(g).\nAnswer: 2*g**3 - g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 55147 + -32433. What is the highest common factor of q and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127 a factor of 10922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i**3 + i**2 - i - 3*i**2 - 3*i**4 + 3*i + 2*i**4 to the form v*i**3 + w*i + m + y*i**2 + f*i**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -17250080 rounded to the nearest 10000?\nAnswer: -17250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/6  (b) -1\/9  (c) 14  (d) 4245\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -2*d**2\/5 + 1366818*d\/5 + 4100472\/5 = 0.\nAnswer: -3, 683412","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*y**2 + y**2 - 710 - 123*y + 25*y + 1414 - 716 wrt y?\nAnswer: -6*y - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 87\/35252 and 39\/686.\nAnswer: 1727348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-48)\/(-27) + 4\/18. Suppose 5*u + n = 63, 0 = -g*u - 6*n + 2*n + 18. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a23 (base 13) to base 3.\nAnswer: 2100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1035177 - -0.00019.\nAnswer: -1035176.99981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1c54 + 4?\nAnswer: -1c50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 144400 rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 - 7. Let g = -3 - j. Suppose -5*b + 38 = 3*v - 28, g = 2*b + 4*v - 32. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9)\/(-36) + 5\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide -83*(0\/(-49) - (-3)\/(-1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:27 PM and 12:49 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2775, 9506, 20721, 36420, 56603, 81270?\n\"Answer: 2242*y**2 + 5*y + 528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.424642179 rounded to five dps?\nAnswer: -0.42464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -3*h**2 - 2863*h + 79480. What is s(27)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: ((-1938)\/532)\/(((-26)\/273)\/(2\/6))\nAnswer: 51\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 - (3 + -4 + 0). Let b = t + 3. Let g be (3\/b - 1)*-4. Solve 2*z - 22 = -5*u - z, g*u + 5*z = 24 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -7690 - 0.164.\nAnswer: -7690.164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 3*b - 15. Suppose 2*s - 5*g - 62 = 0, 4 = -s + b*g + 36. Calculate the remainder when s is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n + 18. Let q be h(15). Suppose -q + 29 = u. Calculate the remainder when u is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 975108 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**2. Let i(s) be the first derivative of -3 - 3\/2*s**2 + 1\/24*s**4 + 0*s**3 + 0*s. Let r(q) be the second derivative of i(q). Give h(r(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.24 + -2.16. Let s = 2 + d. Let m = 0.8 + s. Which is the nearest to 0.1?  (a) m  (b) 1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + (-4 - (-9 - -3)) + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 24 (base 9) in base 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1 - 2. Let y(v) = -v**3 - 4*v**2 - 3*v - 4. Let h be y(-3). What is the biggest value in -1\/5, h, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**3\/11 - 3065*f**2\/11 - 2303483*f\/11 + 69403061\/11.\nAnswer: -(f - 29)*(f + 1547)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 292542.\nAnswer: 2, 3, 48757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 342, 693, 1044, 1395, 1746?\n\"Answer: 351*d - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*t - 2. Let v = t - 3. Suppose v*j = -4*j + 12. Solve 0*g - 2*g = 3*x, -x - 7 = j*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - 9*u - 21. Give i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000445839 to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -8*b - 984. Determine c(3).\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from djjjdjdwdjdddgjj. What is prob of picking 1 d and 2 j?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39658619 is divided by 6609768?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 354792.4 decades?\nAnswer: 3547924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 12*u**2. Let h(b) be the first derivative of -185*b**3 - 2640. What is h(d(f))?\nAnswer: -79920*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 120696 times -0.2\nAnswer: -24139.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -5*h + 7444, h + 1406*r - 1496 = 1405*r. What is the least common multiple of h and 11?\nAnswer: 16390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1934263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-4\/3)*(m*m**3*m)\/m*m**(2\/7)*m**2)**23 assuming m is positive.\nAnswer: m**(4163\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1460*t**2 + 1226*t**2 - 465*t**2.\nAnswer: 2221*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((13\/(-741))\/(71\/((-44517)\/66)))\/(1\/552).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 5295*r**2. Let w(x) = -2*x. Calculate w(l(u)).\nAnswer: -10590*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 + 4*q**2 + 19. Determine l(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 207 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -40, -112, -218, -358, -532?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from oyoay?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 + r - 2. Suppose 7*m = 268 - 275. Determine x(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than 87\/2624?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 12) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 99066619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0461629 to 3 dps.\nAnswer: 0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5348760 by 5.\nAnswer: -1069752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -259 - -309. Calculate the remainder when 152 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1240 + 1272. Calculate the highest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 71881, 143858, 215835, 287812?\n\"Answer: 71977*r - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/5 in -21\/5, -5, 1\/6, 291?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -1890*u**2. Let i(c) = -137*c**2. Give t(i(j)).\nAnswer: -35473410*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/30*2\/8*24960\/576?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 2*i - 5*q + 3*q, 4*i - 5*q - 7 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/11?  (a) -49  (b) 1  (c) 0  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 1 + 27*p**3 + p**2 - 28*p**3 - 2*p + 0*p. Calculate c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**32)**(9\/2))**(-38) assuming i is positive.\nAnswer: i**(-5472)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m = -s + 640, -3*s + 128 = 3*m - 2*m. Let u = m - 26. Suppose -2*k + u = k. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 8, b: 4, l: 2}. Give prob of sequence wwl.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u. Let q(p) = 11*p + 1. Let t(a) = 10*a + 1. Let n(d) = -2*q(d) + 3*t(d). Let g(b) = -4*c(b) + n(b). Let v be g(-1). Put 1, v, 3 in ascending order.\nAnswer: v, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 170207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 264697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, -2, 13, 4, 10 in increasing order.\nAnswer: -2, 1, 2, 4, 10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 57*j**2 - 76*j. Let k(t) = -t**2 + t. Let f(s) = -76*k(s) - u(s). Let w(r) be the second derivative of -r**3\/3 + 2*r - 27. Give f(w(v)).\nAnswer: 76*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b = -27 + 155. Let x = b - 17. What is the remainder when (88\/3)\/(-2)*-3 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*q - 2*z - 36, 2*q + 5*z = 7*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1050 is divided by 374.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4*n - 1)*(-2*n**3 + 3*n**3 + 0*n**3)*(1 - 2 - 9).\nAnswer: -40*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -34374 at most as big as -34374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 5*l**2 + 7*l + 8. What is the smallest common multiple of 11 and j(-2)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.096 times -0.747?\nAnswer: 15.011712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 37*j**2 - 74*j. Let x(w) = -w. What is -l(o) + 74*x(o)?\nAnswer: -37*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -2*w. Let y(h) = 17*h - 1. Calculate y(n(f)).\nAnswer: -34*f - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 3  (b) 1\/13  (c) -0.3  (d) -2\/7  (e) 2684\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43172537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 2*p**2 + 18*p + 7. What is o(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 10300753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (sqrt(13) + 1*sqrt(208) - (sqrt(13) - (-4*sqrt(156) - sqrt(156))\/sqrt(12))).\nAnswer: -sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 258050085 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*i + i. Find the second derivative of -6*a**2 + 3*a + 12*a**2 - a**3 - i*a**2 wrt a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0 - 1)*(3 - 3 + h)*(5 + 22 + 68).\nAnswer: -95*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-479 - 34 - 173)*(0*f + 0*f + f) + 5*f - 1 + 1.\nAnswer: -681*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 231\/16 or -35?\nAnswer: 231\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (4\/8)\/((-2)\/(-4)). Let n(g) = s + 4*g**2 - 2*g**3 - 2 - 5*g + 5*g - 2*g. Give n(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-6)\/(-8) + (-3)\/(-12). Let n be ((-2)\/y)\/(-2) - 2. Let j be -1*(95*n + 2). What is j rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/161)\/(6*3\/(-126))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 10 - 66 = 0. Suppose -4*n = 2*f - 0*n - q, 3*f - 43 = 5*n. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -581*-6\nAnswer: 3486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 0.2, -17, 3, -0.03.\nAnswer: -17, -3, -0.03, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 151*t - 541*t + 252*t - 4 + 149*t + 5.\nAnswer: 11*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -59 + 10 + 1608*o + 25 + 22.\nAnswer: 1608*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - 14*t - 11. What is u(16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vggg when four letters picked without replacement from {u: 2, v: 8, g: 9}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -2*(7\/(-2) - -3). What is the units digit of 8 - 2 - 3 - s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 31 = w + 2*w, 3*p = -w + 7. Suppose -3*a + 3*q = 0, 2*a + 3*q = 6*q + 2. Sort a, p, -3 in ascending order.\nAnswer: -3, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-24)*26 + 4\/3. Is -6 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*i - 9*r + 7*r + 10, -2*i - 2*r - 6 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t + 6. Calculate q(4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (629\/37)\/153 - ((-440)\/666)\/(-4).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + 2. Suppose -2*o = q*x - o + 5, -17 = 4*x - 3*o. Sort 1, 3, x.\nAnswer: x, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*i - 16*i + 6*i**3 + (3*i**3 - i**3 + i**3)*(3 - 5 + 3) + (-177*i + 177*i + 8*i**2)*(0 - i + 0).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 37\/296 + (-2)\/(16\/3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g - u + 11 = 0, 0*g - 5*u + 19 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (955*b**2 - 2*b - 314*b**2 + 781*b**2)*(3*b**3 - 3*b**3 - 4*b**3).\nAnswer: -5688*b**5 + 8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:45 PM and 1:26 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/72 and (-2)\/(-30)*4275\/(-400).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 95 - 93. Let d be (-7 - -25)*1\/z. What is the greatest common divisor of 243 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*9\/(-6)*8. Let s = l + 57. List the prime factors of s.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 270, -12773\/2, -3\/4, -14?\nAnswer: -12773\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 550328547, 550328548, 550328549, 550328550, 550328551, 550328552?\nAnswer: 550328553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -11*b + 14*b + 3 - 16*b**2 + 4*b**2 + 2*b**2 - 12*b**2 in the form n + w*b + o*b**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t**5 + 68*t**4 - 356*t**3 + 650*t**2 - 509*t + 146 = 0. Calculate t.\nAnswer: -73, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 382410 and 90?\nAnswer: 382410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the second derivative of -25*x + 5\/3*x**3 - 5\/12*x**4 + 1\/60*x**5 + 0 + 21*x**2. Let j(u) be the first derivative of l(u). Calculate j(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2539d9 (base 14) to base 2.\nAnswer: -100110111111111011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*m + 15*m + 7 = 0. Is m - 1 - (-8082 + -19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 0.04  (b) 4  (c) -1  (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133464 is divided by 244?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i + 22 + 10 = 0. Suppose -5*f + 75 = -2*j, 0*f + 26 = 3*f - 5*j. Let q = f - i. Does 9 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -706*a + 7*a**3 + 706*a.\nAnswer: 7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -m + 13. Give c(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1 - 2) + -14 + 2 + 12 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -5\/3  (b) -1\/5  (c) 0.1  (d) 3.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/(-12)*30*(-1001)\/1365?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -37*t + 45145 - 45922 = 0 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 581 = 8*i + 605 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-3)\/44)\/((29 - 76)\/(-282)). What is the fourth smallest value in -2\/17, d, 2\/7, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = 3*v + 24, 5*n - 5*v + 13 = 48 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -5*z + 28 - 6, -3*z + 4*l = -19. Let g = -22339 - -22342. Solve -i + 2*d + 13 = 0, 0*d = z*i + g*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2, -78\/7 in increasing order.\nAnswer: -78\/7, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 768, 1535, 2302, 3069, 3836, 4603?\n\"Answer: 767*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-60)\/(-108)*(-4)\/10?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (50\/(-4))\/((-2)\/(-4)). Let g = n + 11. Let f = g - -18. Solve -6 = f*c + 10 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -2*j**3 - 12*j**2 - 5*j - 28. Let c be q(-6). Find the second derivative of 87*y**2 + 142*y**c - 37 + 36 - 59*y wrt y.\nAnswer: 458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -23*g**2 + 34. Let j(q) be the first derivative of -29*q - 8 + 54*q - 26*q. Let a(l) = 3*j(l) + o(l). Differentiate a(p) with respect to p.\nAnswer: -46*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, 0.1, 5\/4, 56, -5 in descending order.\nAnswer: 56, 5\/4, 0.1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0162248 times -129?\nAnswer: 2.0929992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 8\/(-44) - (-48)\/22. Suppose -h*m + 5*m = 24. Solve -2 + m = 2*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 106278657.\nAnswer: 3, 4567, 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2957367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 15 = 0, 5*b + 5*w = 41 - 16. Sort -5, 5, b in decreasing order.\nAnswer: 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-307 - -305) + (0 - -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = t**3 + 2*t - 10. What is d(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 558*b - 72*b**2 - 558*b - 5 + (5 - 2 + 0)*(b + 2*b**2 - b) + 4*b**2 + 5 - 5.\nAnswer: -62*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -1, -3461 in ascending order.\nAnswer: -3461, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sum 37833 and 9.\nAnswer: 37842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 46 and 284570.\nAnswer: 6545110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**3\/11 + 1442*j**2\/11 + 2892*j\/11.\nAnswer: -2*j*(j - 723)*(j + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -189, -190, -191, -192, -193?\n\"Answer: -w - 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -2, -0.37, 0.3 in descending order.\nAnswer: 0.3, 0.1, -0.37, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 20 + -15. Suppose y*p + 3494 + 450 = 4*l, 3*l - 2958 = -3*p. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*w - 44 = 34. Suppose 5*y + 2 = 3*y. Let o(p) = p + 1. Let j(g) = 2*g + 5. Give w*o(z) + y*j(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes before 7:07 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 337848551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 c, and 2 h when four letters picked without replacement from {h: 2, e: 13, c: 2, b: 3}.\nAnswer: 26\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 186*l**3 - 36*l**2 + 160*l - 56. What is the hundreds digit of i(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4400 and 3025.\nAnswer: 48400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/((-1)\/(-4) + -1) + 4703. Suppose 0 = -4*l + x + 737. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2965810?\nAnswer: 2, 5, 296581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 18\/5*a + 1\/5*a**2.\nAnswer: a*(a + 18)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*c - 17*c = 11*c. Suppose 29 = 2*y - c*j + 5*j, 0 = 4*y + 5*j - 43. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 + 26074639271896.1.\nAnswer: 26074639271895.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 3, k: 1, o: 3, f: 1, w: 2}. What is prob of picking 1 f, 1 w, and 1 o?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -12.06 - -11. Let n = j + 0.55. Round n to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.0614  (b) -18\/29  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 39 and 4002?\nAnswer: 52026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 x when two letters picked without replacement from {d: 3, x: 3, g: 12}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 - 5 + 64*p + 7 to a*p + c and give a.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 22840, 91363, 205572, 365467, 571048, 822315, 1119268?\n\"Answer: 22843*p**2 - 6*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-60)\/(-315))\/((-9)\/(-21)).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mbbwuub. What is prob of picking 1 u, 1 w, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -56 = -4*m - 4*k, -m + 3*k - 18 = -2*m. Find the third derivative of 40*u**5 - 13*u**5 - 16*u**5 - m*u**2 wrt u.\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.057 and 3023572.\nAnswer: 3023572.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 16605, 16614, 16621, 16626, 16629?\nAnswer: 16630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 564*b**2 + 3712*b**2 + 4076*b**2.\nAnswer: 8352*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = -4*s**3 + s - 2. Let f(z) = -5*z**3 + 2*z - 3. What is 4*f(d) - 6*m(d)?\nAnswer: 4*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -6506, -52071, -175788, -416747, -814038, -1406751, -2233976, -3334803?\n\"Answer: -6515*k**3 + 14*k**2 - 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-432)\/90)\/(2\/80*-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -1. Let j(p) = -8*p. Give b(i) + j(i).\nAnswer: -8*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 209212b (base 13) in base 10?\nAnswer: 9915267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((1\/(-6))\/((-36)\/810))\/(3\/12).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that z**4\/2 + 33679*z**3\/2 - 202105*z**2\/2 + 168425*z\/2 = 0.\nAnswer: -33685, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15543523*b**3*s**3*w + 5*b**3*s**2*w - b**3*s**2 - 21337*b**2*s**2*w + b + 4*s**2*w wrt s.\nAnswer: 93261138*b**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -156, -30, 667, 0, 4 in ascending order.\nAnswer: -156, -30, 0, 4, 667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, d: 2, v: 1, i: 1}. What is prob of picking 1 v and 1 l?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 707 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l and 2 y when three letters picked without replacement from yyyyyyyyyylllyyylyyy?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 371 minutes after 1:38 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2214423 (base 5) in base 7?\nAnswer: -220640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 133462, 133463, 133464?\n\"Answer: r + 133461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*m + 10*m**2 - 85*m - 14*m**2 + 6*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 47 + 65 - 112 - 158*i**3.\nAnswer: -158*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1252 - 247 + 187 + 8)*(2 - 6 + 2)*(2*q**4 - 3*q**4 - 11*q**4).\nAnswer: -31296*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.5 - -5. Let a(w) = 2*w**2 - 5*w - 9. Let x be a(5). Let b be (9\/6 + -2)\/((-24)\/x). Sort q, -3, 0.3, b in decreasing order.\nAnswer: q, b, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -211812, -211815, -211828, -211857, -211908?\nAnswer: -211987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 6*v = -4. Suppose -3*p + v*p - 10 = -2*o, 0 = -p. Suppose -o*b = -6*b + 46. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x**3 + 7*x**2 - 2*x - 5. Let q = -11 - -14. Let p = 57 + -11. What is the remainder when p is divided by l(q)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -127, 27, -2.1 in decreasing order.\nAnswer: 27, -2.1, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 220220 (base 3) to base 8.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-15)\/9)\/(4\/(-12)). Suppose -7 = -3*h + f. Solve b + 3*j - 3 = 17, -2*j = h*b - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (43*i**2 - 20*i**2 + 141*i**2)*(i**3 + 0*i**3 - 3*i**3).\nAnswer: -328*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8*h**2 - 4815151*h - 63401496?\nAnswer: 16*h - 4815151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 21178897 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: What is the third root of 2524 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -l + 3*l**3 - 705*l**4 + 703*l**4 + 0 + 2 to the form t + g*l**3 + c*l**4 + o*l**2 + z*l and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 157.2672 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -35.3 - -35.7. Let r = -1\/104 + 119\/1560. What is the third smallest value in -3\/5, r, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/17, 146, 17, 738, -1, -2.\nAnswer: -2, -1, -2\/17, 17, 146, 738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express a - 650*a**2 + 420 + 0*a + 649*a**2 + 427 as b*a + l + f*a**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 277 minutes after 7:02 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -4*h - 2. What is the lowest common multiple of i(-5) and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)\/sqrt(1000) - (sqrt(99) + (sqrt(99) - (sqrt(99) + 2*sqrt(99))))\/sqrt(9))**2.\nAnswer: 1331\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*u + 24*u**2 - 6*u - 4*u - 3*u**2 - 12 in the form q*u + t + j*u**2 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 2 + -31 + (-45 - -34) + (-4 - -7)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 46719453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4159 * 33.\nAnswer: 137247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8290263953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, d: 3, t: 1, l: 1, z: 2, v: 3}. What is prob of sequence zd?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l + 1. Let c(i) = -i - 4. Let p(q) = -c(q) - 3*v(q). Let k be 21\/(-7)*(-2 - -1). Let m(h) = 5 - 1 - k. Determine m(b) - p(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 4*v + 3. Suppose -4*r - 18 + 14 = 0. Let j be o(r). What are the prime factors of j - (1 - -4 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 12 or 130065?\nAnswer: 130065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4750 and 5700.\nAnswer: 28500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2\/((0 + 1)*-1). Let h be 16\/32*0\/b. Suppose 4*s = -5*x - 3, -3*x + h*s = s - 1. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -13*n**3 - n - 1. Calculate the remainder when b(-1) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -1981, -1800, -1561, -1234, -789, -196, 575, 1554?\n\"Answer: 5*h**3 - h**2 + 149*h - 2134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3 - -2.95. Put -0.2, 0.1, f in ascending order.\nAnswer: -0.2, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -191 - 5*l + 0*l + 0*l + 7*l + 2*l as w + y*l and give w.\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1787838, -1787836, -1787834, -1787832, -1787830?\n\"Answer: 2*k - 1787840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1686236.\nAnswer: 2, 421559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 288977 a multiple of 1420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 63*a + 123. Let j(c) = 186*c + 369. Let l(f) = -2*j(f) + 7*q(f). What is the tens digit of l(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2018889496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*w**3 - 2517*w**2 + 43656*w.\nAnswer: -3*w*(w - 17)*(w + 856)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 3*t - 2 = -1, 2*t - 6 = 0. Suppose 3*s = w*a - 12, s + 2*s = -5*a + 72. Calculate the remainder when 35 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 30\/40 - (-6)\/(-8). Suppose -5*s = -4*g + 20, x*s - 2*s = 5*g + 8. What is the third biggest value in g, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.018464448 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x**5 + 0*x**5 - x**5 + (-194*x - 448*x**2 + 194*x)*(-3*x**3 + 2*x**3 + 10*x**3).\nAnswer: -4033*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4\/14 + (-1192)\/56. Let v be (-14)\/f + (-6)\/9. Suppose -4*m + 2*l + 5074542 - 14434552 = v, -9359985 = 4*m + 3*l. Round m to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 380 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express 143 - 244*t - 143 + 983*t in the form u*t + o and give u.\nAnswer: 739","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r - 6. Let d(i) = 1 - 2*i + i + 0. Give -6*d(j) - s(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 41.\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 335 + 329 = -f, 0 = 4*z - 4*f. Let o = -19 - -34. What is the highest common divisor of o and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2*r**3 + 24*r**2 + r - 15. Let z be ((54\/45)\/(1\/10))\/1. Let l be j(z). Put l, 1, 12 in increasing order.\nAnswer: l, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -1*(1 - 0) - 2. Let k be (-2)\/3 + (-11)\/v. Let n be (31 - 6220\/200) + 3*1057\/210. Solve n = k*t - 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 3, 10029 in increasing order.\nAnswer: 3, 13, 10029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 249 a factor of 1721821?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - -1 - 4 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 650 = 41*y - 28*y. Suppose 30 = -20*r + y. Let k be 0 + 19\/7 - 2. Are k and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q + 6*c + 17 = c, 4 = -c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 - g**2 + 10*g - 14. What is the units digit of j(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in fourty-seven quarters of a gram?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1 + 136*k - 14*k - 115*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 4:13 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*o + r + 29, 5*o - 4 = -3*r + 63. Let q = -6 + o. What is the smallest common multiple of q and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56 divided by -81400\nAnswer: -7\/10175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 2*k - 40, -5*r - 3*k = -r - 30. What is the remainder when 32 is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -123 in 1, -3, -0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -4*o**3 + 9*o**2 + 2*o + 12. Let d(l) = 9*l**3 - 18*l**2 - 3*l - 22. Determine 4*d(n) + 7*h(n).\nAnswer: 8*n**3 - 9*n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 8.3196 - -0.2004. Round c to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (44\/(-5))\/(1\/5). Let c = -18 - g. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of m**2*q**3 - 10848456*m**2*q + 1334*m*q**3 - m*q**2 + q**3 - 21*q**2 + q wrt m?\nAnswer: 2*q**3 - 21696912*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in 2\/745, -0.2, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 9*k - 6. Let d be ((-22)\/(-6))\/((-4)\/(-228)). Let l(g) = -4*g + 7*g + 207 - d. Calculate -8*l(m) + 3*v(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*f + 3*f + 5. Let l be (-1 - -1)\/(f - -3). Suppose l = -a + 3*z + 45, a = -3*z + 8 + 7. What is the highest common divisor of 12 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68876 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 10\/4 - ((-52962)\/12)\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -15\/4, 0.3, 3\/7, 1\/6, 4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.024 take away -0.01834?\nAnswer: 0.04234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/8, -1, -0.08, 4, -2\/5, 1.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (11\/(-6))\/((-143)\/52)*(-18)\/(-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g - 4*n - 15 = 9, 6 = 4*g + 2*n. Let k(j) = j**2 - j - 3. Let l be k(g). Find d, given that 15*d**3 + 3*d**3 + l*d**3 - 5*d**2 - d**2 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 155 = 4*i + 127. Solve 5*k = 3*f - 29, i*k + 6 = -2*f + 4*k for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 46668557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2.3 + 1.7. What is the smallest value in 5, s, -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6791.981 kilometers to centimeters.\nAnswer: 679198100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-92)\/18 + 9\/81. What is the third smallest value in -0.02, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-5)\/(-12))*20*(-29)\/232\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -105322 = -27*w - 105835 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -57214799259.15 - 0.48\nAnswer: -57214799259.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - (-2 + 4 + 2 + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 159.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 10140253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1008 + -504. What is the greatest common factor of f and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9610241221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1398417 to the power of 1\/2, to the nearest integer?\nAnswer: 1183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/54*(-12 + (-405)\/(-30)). Which is bigger: l or -8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 914\/(-144) + 4\/18 and (-9)\/(-36) + 266\/72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -3*i + 9, 0 = 2*i - 2 - 0. Let z be ((-9)\/h - -2)\/(4\/56). Is z at most as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that 5*t**4\/3 - 685*t**3 - 2065*t**2 - 6205*t\/3 - 690 = 0.\nAnswer: -1, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2456263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 628363 - -0.038.\nAnswer: 628363.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand k**3 - k**3 - 2*k**4 + (-3*k**3 + 13*k - 13*k)*(42*k + 113*k + 186*k).\nAnswer: -1025*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in -312, -4\/5, 0.29, -3, 4, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -18*f**2 + 55*f**2 - 16*f**2 - 17*f**2. Let p(m) = 29*m**2. Determine y(p(x)).\nAnswer: 3364*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 3 = 0, 4*n - 17*v = -14*v - 2153. Let y = n - -960. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 - -16.217\nAnswer: 7.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1871*5.\nAnswer: -0.9355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y - 9. Let p be r(7). Let d be p\/(-1) - 2\/2. Suppose 3*t = -4*a + 4 + 3, 4 = -t + 5*a. Calculate the greatest common divisor of d and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a = 2*w + 578, -2*a + 575 = -22*w + 17*w. What are the prime factors of a?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -145\/198 and -109\/20.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*g**2 + 133*g + 49*g**2 - 133*g as d + t*g**2 + s*g and give t.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = 7*s - 148. Determine v(22).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vmxm when four letters picked without replacement from {x: 3, v: 4, m: 7}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -37.27 - 0.73. Let j = d + 38.87. Let f = -0.13 - j. Which is the closest to f?  (a) 3  (b) 2  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(-1\/3)*(q\/q**(-13))\/q)**(-8) assuming q is positive.\nAnswer: q**(-304\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*y**2 - 9*y**4 + 6*y**2 - 5*y**4 + y**4 + 2*y**4 - y**4 - y**4 + y**4 - 2*y**4 - 3*y**4 + 3*y**4 + (y**4 - 3*y**4 + y**4)*(2 + 1 + 0).\nAnswer: -17*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43014 is divided by 239?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:28 PM and 6:52 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26*1278\/284*1\/(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-8)\/6*3 - -126. Let w = -30 + v. Calculate the remainder when w is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/4 + (-78)\/(-12) + -4. Let f = 0.616 - 0.216. Let d = 2.91 - -0.09. Which is the closest to d?  (a) k  (b) f  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -20*c + 15*c - 2*w + 7249, -2*w - 4343 = -3*c. What are the prime factors of c?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 12 and 3168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*x**3 + 5844*x**2 - 3781248*x + 812258304.\nAnswer: -3*(x - 688)**2*(x - 572)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 235 a factor of 9635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-4)\/(-4) - (-1)\/(-1). Suppose i*h = 5*h - 25. Suppose 5 = -s - 2*m, 0*s + 23 = s - h*m. Solve -s*l = -7 - 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 2 + 3263614?\nAnswer: 3263616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 706 divided by 2.\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 389*r**2 - 4879*r - 4878. Calculate g(-1).\nAnswer: 390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 - 2*u. Determine a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*g + 45 = -q, -14468*g + 42*q + 2515 = -14469*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0\/21*-1*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2270 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2\/7 + 1\/7. Suppose 0 = -6*n - 68 + 74. Which is bigger: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r + 3*j + 147 = 6*j + 131, 5*j - 9*j = -3*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1569648.\nAnswer: 2, 3, 53, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 48 = -12*h + 4*h. Calculate the remainder when 4*(-1 - (-363)\/12) is divided by 18 + 6 + 2 + h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26376539837 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -127*h - 171*h - 139*h + 222*h.\nAnswer: -215*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141*v - 100*v = 492 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g - 2 = -10. Suppose 3*n - g*l - 8 = 6, -5*n - 5*l = -40. Let x = -1 - -4. Solve x*b + 6 = -n for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -151 + 26*g + 152 + 3*g**4 + 2*g**2 - g**4 - g**4 + g**3 to the form m*g + c + j*g**2 + u*g**3 + t*g**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 241 a factor of 237276092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3699645.29999944 - -3699647. Let b = 1.7 - x. What is b rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 3 in 120, 0.1, -21, -425?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 37466475?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) be the first derivative of x**4\/6 + 2*x**3\/3 + 2*x**2 - 32*x - 2. Let q(z) be the first derivative of d(z). Let v = -6 - -3. What is q(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 4, 3, -3, 8 in increasing order.\nAnswer: -6, -3, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 359, -0.9, 3, -1, 4?\nAnswer: 359","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -18737 or 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 3*g**2 + 17*g - 46. Give j(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) be the second derivative of -l**5\/20 + 2*l**4\/3 - 2*l**3\/3 + 3*l**2 - 2*l. What is the tens digit of q(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -67028 or -67000?\nAnswer: -67000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 10*f + 7. Let d(x) = -7*x - 5. Suppose -20 = 4*m - 0*m. What is m*o(r) - 7*d(r)?\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2*2\/(-6) + (-18382)\/(-273). Suppose -13*k + r = 783. Let n be 218\/(-4) - (-3)\/(-6). Is k < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:38 PM and 3:46 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 47267 is divided by 47196?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 + 7 = -w. Let p = w + 0. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2505*g - 2487*g - 11016. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1951, -3951, -5931, -7885, -9807, -11691, -13531?\nAnswer: -15321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 3*m - 4*c, 4*m + 0*c + 4*c = 40. Let p(u) = 2*u - 23. Let g be p(m). Find the third derivative of 10*s**4 + 7*s**4 - 15*s**4 - g*s**2 wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 0.6, 34, 4\/37?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2104 or -21?\nAnswer: -2104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the third derivative of r**6\/60 - r**5\/15 - r**4\/6 - 3*r**3\/2 - 29*r**2. Is n(4) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 36*t**4 + 8*t**3 - 4*t**2 + 61. Let l(d) = 71*d**4 + 14*d**3 - 7*d**2 + 123. Let h(m) = -4*l(m) + 7*q(m). Differentiate h(k) wrt k.\nAnswer: -128*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*y**3 + 5*y - 12*y + 7*y + 75160*y**2 - 75160*y**2.\nAnswer: 30*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (11*n**2 + 47*n**2 + 37*n**2)*(-19 + 19 + 4*n) + 4 - n**3 - 4 to j + u*n + y*n**2 + v*n**3 and give v.\nAnswer: 379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2104, -4233, -6362, -8491, -10620?\nAnswer: -12749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 4*q + 10. Let m = q - -2. Let b(p) = -23*p**3 - 5*p**2 - 17*p + 13. Let j(w) = 6*w**3 + w**2 + 4*w - 3. Let i(c) = m*b(c) - 9*j(c). Calculate i(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-3*(sqrt(14)*-1)\/sqrt(7)*-4.\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1656 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.137 + 0.377. Round d to 2 decimal places.\nAnswer: -0.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 2*w**2 + 3)*(-1 + 0 + 4)*(-2 + 2 - 1)*(-3*w - 3*w + 5*w) in the form q*w**3 + z*w + t*w**2 + g and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-13)\/((-52)\/(-88)) + ((-420)\/(-69) - 52\/598)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 66704 by 3032.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 21150900 to the nearest 100000.\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 281404 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1475185?\nAnswer: 5, 295037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -3*y**3 - 15*y**2 - 49*y - 7. What is the remainder when x(-5) is divided by 73?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/4)\/((-5)\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 6621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 7*p = -3. Suppose p*m - 5*o = -0*o + 9, 2*m + 4*o = 6. Let q be (m - 3)\/(-4 - -2). Do q and 0 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1166*w + 4*z = -3*z + 2*z + 4674, -w + 5*z - 40 = -4*w - 18 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8880542um to kilometers.\nAnswer: 0.0000000008880542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 + 15*v**2 + 16*v - 2. Give k(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 1 + 3 + -8 - 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = -5*w + 7, 4*w - 2*g = 2*g + 12. Suppose 0 = -4*k - 4*i + 4, w*k + 30 = 4*k - 5*i. Solve c + k - 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 25 + -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -15684595*s*y - 2*s + y - 62794725 wrt s?\nAnswer: -15684595*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of a**3\/3 + 4*a**2 + a + 194. Let c = -33 - -54. Let h(o) = -9*o**2 - 81*o - 9. Let w(f) = c*k(f) + 2*h(f). Factor w(v).\nAnswer: 3*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 945 a factor of 101968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-90)\/(-60))\/((-7)\/42)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 6, w: 2, a: 9}. What is prob of sequence abba?\nAnswer: 9\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -1955, -1954, -1953?\n\"Answer: b - 1956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(((-48)\/28)\/(-6)))\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.62 + 0.52. What is the fourth smallest value in -0.13, 0.5, w, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*i**3 - 39056*i**2 + 743436*i - 704376.\nAnswer: -4*(i - 18)*(i - 1)*(i + 9783)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -488.73528 rounded to the nearest 10?\nAnswer: -490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 154055212 (base 6) to base 10.\nAnswer: 3273560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*w - 5*i = 435, 0 = -2*i + 6. Let q = w - 104. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1004954267?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 34589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 2  (b) 0.118  (c) -4\/9  (d) 0.1  (e) -34\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**2 - 7*l - 5. Let g(k) = k**2 + 6*k + 4. Let v be g(-6). Let y = v + -8. What are the prime factors of j(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 - c - 2. Let x(g) = 16*g**2 + 14*g + 10. Let v(m) = -6*q(m) - x(m). Factor v(s).\nAnswer: -2*(s + 1)*(5*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.611684873 rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1811016?\nAnswer: 2, 3, 25153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 2*n + 1. Let h = -9 - -10. Let r be h + (-13 + -2)\/(-3). Suppose -9*o = -r*o - 18. Determine a(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*w**2 - 2160*w + 2155.\nAnswer: 5*(w - 431)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -8841 divided by 1263\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 336162?\nAnswer: 2, 3, 179, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 775179052 a multiple of 792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -565216  (b) 22  (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) be the first derivative of 5*n**4\/4 + 7*n**3\/3 + 17. Find the third derivative of l(v) wrt v.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.245217 kilograms in nanograms?\nAnswer: 1245217000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 135 and 110025.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 116\/(-12) - (-6)\/9. Let w(g) = -7*g**2 - 30*g - 6. Let v(m) = 4*m**2 + 15*m + 3. Let j(d) = 5*v(d) + 3*w(d). What is the units digit of j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.0421395 less than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1821426 is divided by 239?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2)*(0*n**2 + 2*n**2 + 3 + 0).\nAnswer: 4*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 583 minutes after 2:59 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of l*q**6 - 2*l*q**4 + 68*l*q**2 + 7*l - 431*q**3 + q**2 + 2*q wrt q.\nAnswer: 120*l*q**3 - 48*l*q - 2586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 373543, 373765, 373991, 374221, 374455?\nAnswer: 374693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 28706  (b) 0.3  (c) -4  (d) 0.4  (e) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l + 230 = -2*n, -n - 91 = -2*l - 0*n. Let w = l + -32. Is w bigger than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8*(-30)\/(-1280))\/(123\/8692)?\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10101110000001010101 + 10?\nAnswer: -10101110000001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 240 minutes before 11:21 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-4)\/4)\/(-1))\/(11\/66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**(2\/7))**(-4\/11))**13 assuming j is positive.\nAnswer: j**(-104\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/3)\/((36\/6)\/(-54)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 357\/8  (b) -0.5  (c) -4\/7  (d) -3\/8  (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 65613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = 6*g**2 - 48*g + 15. Let a(m) = -7*m**2 + 64*m - 20. Let u(n) = -3*a(n) - 4*s(n). Let x(b) = 4690*b + 1. Give u(x(o)).\nAnswer: -65988300*o**2 - 28140*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6645 is divided by 6131.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*t + 4 = 3*c + 39, 0 = t - 4*c - 24 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -97 >= -2091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-22)\/30 + 12\/(-20). Let w(h) = h - 4. Suppose 2*o = 6*o - 5*b + 25, -3*o + 10 = 2*b. Let v be w(o). What is the biggest value in -2, v, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-4)\/(-14) + 110\/(-385). Is b less than -1\/210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate t**2*z - 18610*t**2 + 371*t - 4138719*z**4 - 1 with respect to z.\nAnswer: t**2 - 16554876*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1760 = 86*a - 81*a. Does 44 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*z**3 - 7 - 2*z**3 - 3 + 7*z + 0 + 3*z**3 as q*z**3 + a*z + f*z**2 + v and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8 - 8. Suppose -3*v + 8*v - 25 = 0. Suppose v*u - 20 = 0, k - 3*u - u + 14 = 0. Solve k*l + l = i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of 0*p**3 + 1\/4*p**4 - 3\/2*p**2 - 2*p + 3. Solve n(a) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from vvvccvvvvvvvvcvv. What is prob of picking 3 v?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (14 - 1)\/(549\/(-57)). Let k = y - -1\/61. What is the third smallest value in k, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*m + 36*s + 33 = 34*s, m - 88*s = 347 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 4710 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2259060343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -32*b - 9. Let z(s) = -37*s - 8. Let y(o) = 7*m(o) - 6*z(o). Let t be y(-7). Let p be (-195)\/(-290) - 4\/6. Is t not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -222.918 from -18.701.\nAnswer: 204.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 40*v + 0*v = 377143 + 158617. What are the prime factors of v?\nAnswer: 2, 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 1, n: 2, a: 1, z: 1, l: 1, g: 1}. What is prob of sequence ozl?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q**(6\/11)*q\/q**(-25\/6)*q assuming q is positive.\nAnswer: q**(443\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 79\/264 and 67\/176?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 162429428 to the nearest integer?\nAnswer: 12745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4991461732 by -4.\nAnswer: -1247865433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/n**(-9))\/(n*n**7))**(-7\/8) assuming n is positive.\nAnswer: n**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that 2*v**2 + 532*v + 35378 = 0.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -41 + (-17 - -20 - (-6 - 1))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11.33 - -1.67. Are b and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/6*28484\/24. Let o = s - 320653\/180. Find the common denominator of o and -37\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -604934\/5 - -120994. Determine r so that -2*r**3 - 54\/5*r + 27\/5 + 1\/5*r**4 + a*r**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.247 - -0.047. Let f = -3.86 + 3.4. Let r = 0.04 - f. Which is the nearest to -0.2?  (a) w  (b) -3  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 4*b - 34. Let g be j(11). Let o be (12\/g - 2)\/(3\/(-105)). Let c = 68 - o. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 2777.804ns?\nAnswer: 0.002777804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = -2*u**3 - 2*u**2 - 2*u + 5. Let j(r) = -r**4 + 11*r**3 + 11*r**2 + 11*r - 25. Let g(z) = -11*b(z) - 2*j(z). Differentiate g(s) with respect to s.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/8*(-64)\/20*136\/136?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 5*m - 61. What is the units digit of 12\/(-60) + 422\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 55734 or 55735?\nAnswer: 55735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(70)\/(sqrt(30)\/sqrt(3)) + sqrt(7) + -1.\nAnswer: -1 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 508304?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 995*v - 444*v - 427*v.\nAnswer: 124*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from -4308692335.\nAnswer: -4308692335.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = -p + 2. Let o be ((-16)\/(-20))\/(2\/15). Calculate a(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2362814 not equal to -11814076\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j + 3*j = -15. Let d = j - -7. Let y = d + 4. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -10992\/12683 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*j + 2*r - 38, -5*j - 3*r = r - 13. Calculate the remainder when 121 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 40582 = 2*t, 3*t - 3*x - 34826 - 26029 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0)*(6*j**2 + 3*j**2 - 5*j**2) + (20 - 9 + 5)*(4*j**2 - 4*j**2 - 2*j**2).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 2.074802 nanometers?\nAnswer: 0.000000002074802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 112125, 224204, 336279, 448350, 560417, 672480?\n\"Answer: -2*b**2 + 112085*b + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -59 in -486, -2\/509, 1\/6?\nAnswer: -2\/509","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from {a: 5, j: 14}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 388397181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -42, 6, 66, 144, 246?\n\"Answer: m**3 + 41*m - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18*m - 269*m + 45*m + 7*m)*(-2 - m**2 + 2).\nAnswer: 199*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.78 + 0.22. Suppose 3*s - 3*v + 15 = -s, -2*v + 10 = s. Suppose 4*l + 1 = 21. Which is the closest to s?  (a) 4\/7  (b) h  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -20, c = 6*c + g + 30. Let r = 6 - 1. What is the nearest to -0.2 in 2, r, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 + -1110100101110011?\nAnswer: -1110100101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k = 3*w + 60, -2*w + 4061*k = 4066*k - 86 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3946, -7896, -11846?\nAnswer: -15796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -2*b + 144*b**2 + 20 - 14 - 146*b**2. Let i(n) = 0*n - 5 + 0*n + n + 2*n**2. What is -5*i(s) - 4*l(s)?\nAnswer: -2*s**2 + 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1320413 + 1802363846\/1365. What is the common denominator of 187\/4368 and c?\nAnswer: 21840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 5797 from 1.\nAnswer: -5796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1220\/3, 5, -4, 29\/4, -2\/17 in decreasing order.\nAnswer: 29\/4, 5, -2\/17, -4, -1220\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of 3*r**2 + 9*r - 66. Calculate i(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 15859*b**3 + 2*b**2 + 3935*b + 1.\nAnswer: 95154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:10 PM and 11:13 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 2*o. Let w(h) = -58*h + 310*h**2 - 922*h**2 + 306*h**2 + 307*h**2 - 614*h. What is w(b(j))?\nAnswer: 4*j**2 - 1344*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 365 divided by -267608.\nAnswer: -365\/267608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-120)\/21)\/(8\/(-6)*(-60)\/280).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3310543 - -3?\nAnswer: -3310540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (-3 + 6 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 124 * -0.2955.\nAnswer: -36.642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65, 162, 259?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 0.06, 0, 0.3, 0.6 in ascending order.\nAnswer: 0, 0.06, 0.1, 0.3, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/1 + 20 + -4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.235149ug in milligrams?\nAnswer: 0.000235149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6086321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1023 - 810 = -611*w. Suppose -1\/4*p + 0 + 1\/3*p**2 - 1\/12*p**w = 0. Calculate p.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:09 PM and 3:32 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-486)\/63 - (-14)\/(-49). Let l(c) be the first derivative of -c**4\/4 - 8*c**3\/3 - 5*c**2\/2 - c - 1. What are the prime factors of l(t)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 392346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 1 = -0. Suppose 0 = -x - g + 2. Suppose -9 = -2*r + x. Put 4, r, -3 in decreasing order.\nAnswer: r, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 775 = 655*r - 810*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -10*p**2\/3 + 52*p + 64\/3 = 0.\nAnswer: -2\/5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = z**2 - 703*z + 74050. What is s(129)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*z + 2*z - 7*z to the form o*z + k and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -68*l**2*q**3 + 146*l**2*q + 33833*q**3 wrt l.\nAnswer: -136*l*q**3 + 292*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0791 and -6.\nAnswer: 0.4746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 86476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -153, -136, -111, -72, -13?\n\"Answer: x**3 - 2*x**2 + 16*x - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -3*l + 154. What is i(-4)?\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 150\/(-100)*2\/4. Which is the third smallest value?  (a) o  (b) 6\/7  (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12\/2*(-300)\/126000*6?\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 320062953?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -25  (b) 0.2  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.5, -85, -5, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 27012, 47459, 67906?\n\"Answer: 20447*x + 6565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (27\/63)\/((231\/(-28))\/(-11)*6).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*i**2 - 2*i**2 + 0*i**2)*(-2*i + 0*i + i)*(52*i + 100*i - 19*i).\nAnswer: -133*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 760247 (base 9) to base 10\nAnswer: 452914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((8\/42)\/(498\/1743))\/(1\/51)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -42242 (base 9) in base 11?\nAnswer: -19a66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p + 1. Let d(v) = v**2 - 5*v - 9. Let w(t) = -d(t) + 4*s(t). Let g be w(9). What is the highest common factor of g and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (17160\/156)\/(25\/(-10)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59.27056 minutes in nanoseconds?\nAnswer: 3556233600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6.4 - 6. Suppose -15*w = 2 + 28. What is the nearest to w in 4, -5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.61 and 129409.\nAnswer: 78939.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 2*n - 143 = 0, -5*n - 331 = 7*x - 9*x. What is the highest common factor of 17 and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -48294378 by 24147189.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 312*w - 27406 + 1822 = 0 for w.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5569 is divided by 257?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-7)\/7)\/((-3)\/27). Suppose -w*s = 6*s - 2670. Calculate the remainder when s is divided by 48.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2223229 millimeters to micrometers.\nAnswer: 222.3229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18 + (7 - 13 - 0) - 131 - -7) + -5.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -63*r + 3. Calculate o(-1).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 125 + 24*v - 125 + (5*v - 4*v + v)*(2 - 2 - 1) - 7 + 7 - 4*v to o*v + d and give o.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x*x**(-8)*x))**(-5\/2)*(x*x**3)**14 assuming x is positive.\nAnswer: x**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 645\/116 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -170*s = -198*s - 56 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - 100012121222202?\nAnswer: -100012121222212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 51288563 to the power of 1\/2, to the nearest integer?\nAnswer: 7162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -10300 (base 5) in base 12?\nAnswer: -4a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 194 and 2.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + 2. Let r be 7\/3 + 4\/(-12). Let p(f) = 0*f + 4 - r*f - 2 + f**2 + 0. Let o(l) = l**2 - l + 1. Calculate x*o(u) + p(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/29 in -4, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -8 + 39*j - 3*j - 13 - j**2 + 33. Is y(21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 453\/(-20)*54\/(-486) and -109\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 + (-4 - -22) + -42.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2950 - -2909.58. Let g = x - -44.5. What is g rounded to one dp?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - -7 - 2)*1. Let u be (2 + -2)*z\/18*3. Solve u = -6*v + v - 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.03 and -2.382.\nAnswer: -2.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 107 + -20. Suppose 2*d - 5*d = -t. Calculate the remainder when 115 is divided by d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2326, 2354, 2408, 2500, 2642, 2846, 3124?\n\"Answer: 2*c**3 + c**2 + 11*c + 2312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4791 - -4790. Suppose -4*d - 13 = 7. Put 9, d, o in descending order.\nAnswer: 9, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -5996*w - 14846. What is k(-2)?\nAnswer: -2854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.6 minus 19?\nAnswer: -20.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -1\/9, -6, 55282, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t + 5. Let f be q(-3). Suppose 10 = 4*j + f. Solve j*m + 5 = v, 3 = 3*m - 4*v - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1 - (-5)\/(6 - 1). Suppose 4*y - 76 = 2*v, -x*v + 22 = 2*y + v. Solve 7*t - 2*t = 5, -3*g - y = -2*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*b**2 + 308 - 2235*b + 2235*b in the form p + z*b**2 + m*b and give p.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 354.4 - 354.6. Let v = 0.1 - -0.1. Let d = 3 + -2.9. What is the closest to -0.1 in d, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 13223 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of -3119*c**5\/10 - 6119*c**2 - 237*c. Differentiate q(h) wrt h.\nAnswer: -18714*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 300922\/7 or 42990?\nAnswer: 42990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 24 = -2*d, 2*d + 3*c + 23 = -2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -4 - -3. Let y = -27\/2362 + 8207\/304698. Which is bigger: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 5, r: 2, b: 1, i: 1, m: 1, f: 6}. Give prob of picking 1 r and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-54 - -53)*746\/(-14). Let p = u - 53. Which is greater: -0.3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -99.7136*-112.\nAnswer: 11167.9232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 61740 is divided by 256.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4906559918 - 4906559918 + 14*s**3.\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0074532 rounded to four dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -37 * -108685\nAnswer: 4021345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 983922?\nAnswer: 2, 3, 163987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 2547*k**2 + 34*k - 17. Let y(h) = -849*h**2 - 12*h + 6. Determine -6*m(v) - 17*y(v).\nAnswer: -849*v**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -14*r**3 + 9*r**2 - 189*r. Let s(t) = 8*t**3 - 4*t**2 + 94*t. Let l(q) = -9*s(q) - 4*z(q). Find the second derivative of l(x) wrt x.\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -v**4\/3 + 5*v**3 - 13*v**2\/3 - 5*v + 14\/3 = 0. Calculate v.\nAnswer: -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-4)\/27)\/((-10)\/(-3)). Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -373409 or -373410?\nAnswer: -373409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3795 divided by -3?\nAnswer: -1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3)\/(-4))\/((-5)\/(-16)))\/((-5956)\/(-14890))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15391 = 4*j - 3*j - 5*o, 5*j = 2*o + 77070. Let c = -9136 + j. What is c rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 131138.\nAnswer: 2, 7, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7 - 25.7487?\nAnswer: -27.4487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 0*u**4 + 2*u - u**4 + 0*u**3 + 3*u**4 + 2*u**3 in the form x*u**2 + o*u + d*u**3 + t*u**4 + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wwww when four letters picked without replacement from {w: 9, m: 1, u: 7, i: 2}.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -591453 divided by 5\nAnswer: -591453\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3392 and 576.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**2 - 14*w**3 - 5*w + 6*w - 2*w + 2 + 2*w**3 - 4*w**3 + 3*w**3 - 3*w**2 + 3*w**2 - 2*w**3 + (0*w**2 + 2*w**2 - 4*w**2)*(-2*w + 4*w + 0*w).\nAnswer: -19*w**3 - w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -120 or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2685 divided by 3.\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 3*w + 13 + 9 = 0, -3*w = -4*t + 73. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -1066, -1073, -1086, -1105, -1130, -1161?\n\"Answer: -3*t**2 + 2*t - 1065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3\/(-8 + (3 - -6)). Solve c = 3*p, 2*o = -0*o + 5*p - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in b**2 + 3 + 6*b - 3.\nAnswer: b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 11 = -4*g, -72 + 58 = g - 3*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 329089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 593 divide 145285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -35b (base 12) in base 14?\nAnswer: -27d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -55562.9669 - -55556. Let r = 0.0331 - w. Which is smaller: -0.2 or r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {f: 2, a: 2, r: 2, s: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1734 + -1736. Sort 3, -64, a, -3, -6 in ascending order.\nAnswer: -64, -6, -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.42 or -1\/6?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-156)\/10)\/((-2)\/(-550)*-1). Suppose 2086 = 4*h - 3*v - 2208, -4*h + 5*v = -n. What are the prime factors of h?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by 313914.\nAnswer: 5\/156957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -20738729 by 11.\nAnswer: -1885339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136 = 2*t - 2*f, -2*t - 50 = -t + 5*f. Let a = -58 - t. What are the prime factors of (2*-1)\/(a + (-1239)\/175)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -22579\/16 - -1411. Find the common denominator of 23\/336 and k.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + ((-1 + sqrt(605)*1 + 3 + 1 + sqrt(5) + 2)**2 + -3)*6.\nAnswer: 720*sqrt(5) + 4450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 67 a factor of 15410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 67, 138, 209?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3.7563 - 0.2437. Which is the nearest to -45\/2?  (a) -2  (b) v  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of 2*x**3\/3 + 4. Factor y(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (449 - 193 - 1683)*(-3 - 40*m + 38*m + 10) in the form h*m + f and give h.\nAnswer: 2854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Total of 52.54 and -0.05.\nAnswer: 52.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 771 is divided by 71?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 16 + -13. Solve -l*n - 5*g - 12 = -n, -n + 3 = -2*g for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*b**3 + 2*b - 5*b**3 + 0*b + 5*b**3 + 2*b**2 to m*b**2 + f*b + q + a*b**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27781458 + 1332*s - 27781458.\nAnswer: 1332*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*k - 2 = 14 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 1 + 2)*(2*y**4 - 11*y**4 - 12*y**4).\nAnswer: -63*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -71301*x + 35653*x - 1337*x**3 + 35647*x.\nAnswer: -1337*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 97953730 to the nearest integer?\nAnswer: 9897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - -4. Suppose -4*m + b = -m. Suppose 5*f - 45 = -4*n, -m*n - 4*f + 25 = f. Calculate the remainder when n is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 - 8. Let a(j) = -14*j**2 + 26*j + 17. Let d(b) = -5*b**2 + 9*b + 6. Let g(c) = p*d(c) - 6*a(c). What is the second derivative of g(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3169876621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 - 1. Let x = -1 + l. Let b = x - -2. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 433 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 65 + -70. Suppose -9 + 21 = 3*q. Suppose -2*u + 5*m = 5, -q*u + 3*m - 4 = -m. Which is smaller: y or u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3317 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*6*248\/(-372). Let k(c) = -3*c**2 - 4*c + 2. Let i be 8\/6*54\/12. Let v(a) = 8*a**2 - i + 3*a + 0*a**2 - 3*a + 11*a. Determine l*v(s) - 11*k(s).\nAnswer: s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) be the third derivative of 17*r**2 - 1\/15*r**5 + 0*r + 0*r**4 + 0 + 0*r**3. Let a(z) = -21*z**2 + 57*z**2 - 26*z**2. Determine a(u(f)).\nAnswer: 160*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, s: 2}. Give prob of picking 2 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*w - 128 + 128.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 1, 2, -46, -104, -1 in ascending order.\nAnswer: -104, -46, -7, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add together 8768746391 and 10835.\nAnswer: 8768757226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 100733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s**3 - s**3 - 2*s**4)*(-4 + s + 4 + (-1 + 5 - 3)*(4*s - s + 0*s)) - s**5 + 0*s**5 - 2*s**5.\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*v**5\/7 + 478*v**4\/7 - 1782*v**3\/7 - 6462*v**2\/7 - 1620*v\/7 = 0.\nAnswer: -2, -3\/11, 0, 9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vcvccvjvccvocvvojvvv. What is prob of picking 1 c and 1 j?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8401 + -5522. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -48596, -192899, -433412, -770141, -1203092?\n\"Answer: -q**3 - 48099*q**2 + q - 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 minutes before 11:56 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -269700 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 14 - 100\/7. Which is the nearest to -2\/3?  (a) m  (b) 1\/34  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*j**2 + 17662948*j + 35325880.\nAnswer: 4*(j + 2)*(j + 4415735)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by -82?\nAnswer: 11\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 5942146 to the nearest integer?\nAnswer: 2438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18888, 38216, 57544, 76872, 96200, 115528?\nAnswer: 134856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.1, -2, 0.4, -2.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-50) + (-23128)\/30975)\/((-4)\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 7 - 104?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 238219 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -n**2 - 7*n + 4. Let r(u) = -7*u**2 - 8*u + 59. Let s(k) = -4*k**2 - 4*k + 35. Let h(w) = 3*r(w) - 5*s(w). What is 5*h(x) - 3*z(x)?\nAnswer: -2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in seven sixths of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 20*b**2 - 1. Let p be k(-2). Suppose 0 = 5*c + 2*m - 4*m + p, 5*c - 5*m = -85. Let q be (-5)\/(c\/9) + 1. Solve -3 = -q*y - 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 148, 147, 146, 145?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4, 3, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 9772207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -44 + 103. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*x - 3*x - 1226 + 111 - 199 + (0 + 4 - 3)*(-4*x + 0*x + 2*x) to the form b*x + u and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + w - 3 = 0. Suppose -i + 1 = w. Is (13 + -3)\/(0 - i) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (23 - -1)*(-52)\/(-39). Let h = j - 18. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*s**5\/3 - 508*s**4\/3 - 620*s**3\/3 + 368*s**2\/3 + 634*s\/3 + 140\/3 = 0.\nAnswer: -35, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + 6*d**2 - 14*d + 32. Give s(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*c - 683 = 2565. Let y = c - -468. Solve -4*k + y = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from qlllqllqll.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 13303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-18)*r*r*r)\/(r*r\/r**(-1\/2))*r\/((r*r**(-15)*r)\/r*r)*(r\/((r*r*r\/r**(-1\/5))\/r)*r)\/r assuming r is positive.\nAnswer: r**(-47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -822 - -834. Suppose -17*i = -2*c - w*i - 10, -5 = c + 3*i. What is the closest to 1 in -4, c, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1 - -18. Let g = 20 - v. Let u(k) be the first derivative of -k**2 - 3*k + 14. Give u(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - 7 - (727 + -756).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (1293\/(-15))\/(-1) - (-13)\/(-65). Suppose 5*m - 14*t - 280 = -9*t, -5*t = m - p. Determine l, given that -2 - 1107\/2*l**2 - m*l - 5103\/4*l**3 = 0.\nAnswer: -2\/7, -2\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c - 3 = 0, -2*g = -4*c + 1695916 - 6318930. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -2. Let q(o) = 0*o**3 - o**3 + o**2 + 5 + 0*o**3. Let i be q(u). Solve -4*m + 7 = -i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express n**3 - n**4 + n**3 - 111*n**2 - 4 + 113*n**2 as w + j*n**3 + f*n**4 + x*n**2 + m*n and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -33655159 less than 3?\nAnswer: 33655162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12797\/108919 - 1\/6407. Let r = 98 - 85.9. Let m = 0.1 - r. Which is the second biggest value?  (a) 1\/3  (b) m  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.214969372 + 192.\nAnswer: 192.214969372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:54 PM and 6:44 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 874 = 4*l, -3*l - 5*x + 241 = -4*l. Calculate the common denominator of -37\/20 and 2\/8 - 654\/l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-168)\/7 + (-4747)\/(-101). Solve -35*g = 187 + u for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 8:35 AM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rrh when three letters picked without replacement from {t: 4, x: 2, h: 10, r: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -138 + 140. Let b(u) be the first derivative of a*u**2 - 5 - 3\/4*u**4 + 0*u**3 - 1\/5*u**5 + 0*u. What is t in b(t) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 + y. Let v(f) = -f**3 - 8*f**2 + 10. Let b(q) = -v(q) + 3*w(q). Let a be b(4). Solve 0 = -a*d + 2*z - 8, 4*z - 7 = 4*d + 3*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1489.2 * -0.34\nAnswer: -506.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1222*r + 163 + 133 - 298)*(-4 + 4 - 1) to n*r + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 + 12\/15)*(-6)\/36. Which is the closest to 1\/3?  (a) -5  (b) -0.6  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 118*n**5 - 3*n**2 + 35*n**5 + 4*n**2 - 3*n**2 + n wrt n.\nAnswer: 9180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*o + 4*o + 1428*o**2 - 2 - 9*o + 1.\nAnswer: 1428*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0568 and 55503722.\nAnswer: 55503721.9432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 - 12. Let n be m*((-6)\/(-2))\/(-6). Suppose -3*p = 2*a - 100, -5*p - a + 165 = n*a. Is p a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -88*u - 478. Determine o(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72 = -2*y + y. Suppose 2*j = -0*j + y. Calculate the greatest common divisor of j and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 7887*m**3 - 13*m**2 - 181*m + 9. Let u(f) = 7875*f**3 - 12*f**2 - 181*f + 8. Let b(x) = 9*u(x) - 8*z(x). Find the third derivative of b(s) wrt s.\nAnswer: 46674","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 635314*s**2. Let b(r) = 5*r**2. Give y(b(u)).\nAnswer: 15882850*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x + k - 48, -4*k + 19 = 3. What is the least common multiple of 31 and x?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -b24ee (base 16) to base 13\nAnswer: -1c757a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10*(28\/(-8))\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7980992.\nAnswer: 2, 124703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 3*f = -18, -5*f + 19 = 4. Let c be 15*(200\/g + 2). Round c to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8533 - -4593. Let s = -1781 - o. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -80\/590469 and -43\/66?\nAnswer: 1180938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2458*i**2\/17 - 19668*i\/17 + 32\/17.\nAnswer: 2*(i - 8)*(1229*i - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7 (base 9) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 q, and 1 d when three letters picked without replacement from {r: 1, o: 1, w: 2, d: 4, q: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/60 and 19\/7758.\nAnswer: 77580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.27 - 0.03. Let t = -2.53 + 0.03. Let l = 2 + t. Put l, -1\/3, g in increasing order.\nAnswer: l, -1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2926 and 5643?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 16 = -0*z. Suppose -4*f + 8 = 4*l, 2*f - f = -z*l + 2. Suppose 0 = 5*v + 3*n - 23 - 38, -v = f*n - 8. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 344899476*s**2 - 1215*s - 127145.\nAnswer: 689798952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4\/5*i**2 + 0 - 2\/15*i**3 + 14\/15*i = 0. Calculate i.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.6 + -1.54. Let x = -7\/3 + 8\/3. Which is the nearest to x?  (a) 3\/4  (b) z  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 77263 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, c: 1, l: 1}. Give prob of sequence co.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 5*v = 0, -q + 7*q + 3*v = 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-19)\/((-114)\/(-63))*6\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 21 = 4*h. Suppose -3 = -5*a - h. Solve -2*v + 4*v - 8 = a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*n**2\/7 + 12*n\/7 - 32\/7.\nAnswer: 2*(n - 2)*(n + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, d: 2, f: 2, l: 1, y: 4}. Give prob of sequence lky.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 177961.\nAnswer: 7, 25423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -8*n**2. Let p be b(1). Let v = p - -11. Differentiate 2*i**2 - v*i**2 + 0*i**2 + 3 - 4 with respect to i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 60*m**2. Let x(g) be the third derivative of g**4\/12 + 2045*g**2. Determine k(x(z)).\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 1, 38, 7 in decreasing order.\nAnswer: 38, 7, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.075 and -0.73757.\nAnswer: 0.05531775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add -40.347 and 2.\nAnswer: -38.347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -1) + 5 + -8 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-40)\/(-60) + (-982)\/1632 and -59\/102.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 963751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 10 = -12. Solve -t*f + 6 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 11773.23 to the nearest ten.\nAnswer: 11770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 3*a + 93. Let l be m(-31). Let d(n) be the second derivative of 4*n - 3*n**2 + 1\/6*n**3 + l. What is the derivative of d(q) wrt q?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 31131.3 millilitres to litres.\nAnswer: 31.1313","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -5859.2*172.\nAnswer: -1007782.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1.3 - -0.2. Let x = -1842 + 1840.4. Let f = x - k. Which is the smallest value?  (a) -3  (b) -0.02  (c) -0.2  (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 - 7*j - 6. Let z be p(-6). Suppose 16 = -z*o + 4*o. Suppose -o*l = 2*g - 140 - 30, -3*l - 149 = -2*g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -21390230 by -930010.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaxbbaaaaaaaabaaa. Give prob of sequence xba.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rrxxrrrrxrr.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - 2*v - 36 = 0, -5*m - 5*v + 110 = -0*v. Let r = -43 - -16. Let o be (-1614)\/r - 6\/(-27). Calculate the greatest common divisor of m and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10980 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 15*i - 26. Give v(9).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 80428964*n + 46585309 with respect to n.\nAnswer: 80428964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 61815911 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -651 - -267?\nAnswer: -373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + (69 + -35 - 5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of 0*k + 1 - 1\/3*k**3 + 0*k**2. Let d(i) = -3*i. Let p(h) = -h. Let l(o) = -4*d(o) + 10*p(o). Give l(z(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of p**5 + 4*p**4 + 94072*p**3 + 3666*p**2 - 53*p - 2 wrt p?\nAnswer: 60*p**2 + 96*p + 564432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**2 + y + 4. Let c be i(-3). Let d(f) = 11*f. Let n(s) = 4*s. Let l(h) = c*n(h) + 3*d(h). Let q(t) = 2*t. Give l(q(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11992098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 16) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 - -26. Let o be -2*s\/(-12)*2. Let t(n) = 6 - 3 + o*n - 3. Let z(h) = -h**2. Calculate z(t(d)).\nAnswer: -49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 52856859*a**3 - a + 6607950 wrt a?\nAnswer: 317141154*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w - 3*f + 613 = 1539, 5*f + 40 = 0. Which is smaller: w or 448?\nAnswer: 448","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1.75 + 0.25. Let k = -1.8 - 0. Let d = k + v. Which is the smallest value?  (a) -1  (b) d  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 27 + -22. Suppose -1 + 16 = -t*z, -u = -z + 9. Let x = u + 15. Solve 6 + 3 = x*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0.1, 0.3, 2\/131, 0.4?\nAnswer: 2\/131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**3 + y - 1. Let p(k) = 165*k**3 - 5*k + 9. What is -p(z) - 5*s(z)?\nAnswer: -170*z**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 53.679888 - 53.76. Let l = 0.08 + t. What is l rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1372?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -2*m**2 + 6*m + 17. Let k be n(5). Put -1, -4, k, 11 in ascending order.\nAnswer: -4, k, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -9. Suppose 2*p - 3*p + 4*v + 24 = 0, c*p - 78 = -v. What is the highest common factor of p and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(7 + 2 - 12)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 30987.\nAnswer: 3, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:04 AM and 8:49 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 23336654 a multiple of 313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 31 + (-379 - -327) + (-1 - (0 + -9)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1293518 and 14.\nAnswer: -18109252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 3\/8 and -47\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -339906 + -0.2936.\nAnswer: -339906.2936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -97*x*z**3 - 390*x*z**2 - 5*z**4 wrt z?\nAnswer: -582*x - 120*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 781*w + 1847. What is the thousands digit of y(53)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**2 + 8*d - 5. Calculate z(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00008872944 to 6 dps.\nAnswer: -0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 7. Let o(f) = 14*f + 4. Let b(t) = -5*t - 1. Let x(g) = -17*b(g) - 6*o(g). Determine x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 1764 = 2*s + 2*y, 4*s + 3542 = y. Let t = 96 + -54. Calculate the remainder when t is divided by (s\/(-12))\/5 + 1\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 6. Let k be 111\/d*2400000\/(-36). What is k rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 788\/5 - 157. Which is the fourth biggest value?  (a) k  (b) 1  (c) -1\/5  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -2*b**3 + b**2 + 23*b + 5. Suppose -129*n + 27 = -126*n, -2*p + n - 3 = 0. Let d(f) = 2*f**3 - f**2 - 22*f - 4. What is p*d(t) + 2*h(t)?\nAnswer: 2*t**3 - t**2 - 20*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 4*f + 1318 = 1303, 2*f - 10 = -4*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 322 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and -2679.9.\nAnswer: 803.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a - 1. Let m(t) = -7*t + 9. Let z(d) = -6*h(d) - m(d). Let v be z(8). Is (-4070)\/v*2\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16415036233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07264470264 to 6 decimal places.\nAnswer: 0.072645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*g**3 + 2*g**3 - 12*g**3 - 6*g**3.\nAnswer: -14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from eejjeiiiseeijijj?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 6732 - 1?\nAnswer: 6731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1142*w + 851*w = -135*w + 227696 for w.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m. Let l(d) = 65*d - 35. Let c(y) = 11*y - 6. Let s(r) = -35*c(r) + 6*l(r). Calculate s(t(p)).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = -4*s + 6. Let t = 5 + s. Which is bigger: t or -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 106855351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*i + 43500 = 45409 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from goggggoggggg. What is prob of sequence ggo?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*i - 351 = 14*i + 4*m, 2*i = -5*m + 234. Calculate the least common multiple of i and 39.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + o**2 + 2*o - 1. Let r be 408\/153 + 1\/3. Calculate x(r).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 + 9 - 6*o + 20.\nAnswer: -6*o + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v = -4*g + 113, 5*g + 13 = 5*v + 163. What is the remainder when g is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -15*t**3 - 250*t**2 + 5365*t = 0?\nAnswer: -29, 0, 37\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001896628 to 7 dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 1506107.\nAnswer: 1\/1506107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*o**2 + 4*o**2 - 21*o**2.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (1184\/740)\/((-2)\/20)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is -326549*-6*5\/30 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the first derivative of -12691*v**5\/5 + 11225*v**3\/3 - 878. Find the third derivative of u(k) wrt k.\nAnswer: -304584*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10983 = 850*k + 6867 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 9977265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4.5 + -4. Let y = j + 1.5. Is y greater than or equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from alvvnlnnvnnn. What is prob of picking 2 n?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -84 divided by 504967.\nAnswer: -84\/504967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 757698*h**3*v**5 + h**3*v**2 + 19423775*h*v**2 - 2*v**5 - 2*v**2 wrt v?\nAnswer: 45461880*h**3*v**2 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 PM and 1:04 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -18.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v = 314 - 320 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.02057 to 1 decimal place.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3105)\/7452)\/((-2)\/(((-56)\/10)\/(-1)))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 54 + u - 54. Let a(t) = -5*t + 6. Let o(p) = a(p) + 4*d(p). Let w be o(9). Sort -7, 5, w in ascending order.\nAnswer: -7, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**5\/7 + 4*u**4\/7 + 22*u**3\/7 - 24*u**2\/7 - 72*u\/7.\nAnswer: -2*u*(u - 3)**2*(u + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1433 + 1432.6. Put -3\/8, x, -6.34 in decreasing order.\nAnswer: -3\/8, x, -6.34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -25 + -1 - (27 - 28)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.362 - -0.038. Which is the biggest value?  (a) -3  (b) f  (c) 5  (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1)\/(-12))\/((-10)\/20))\/(-1)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12250 is divided by 307.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = -u**2 - 4*u + 5. Let a be m(-5). Which is greater: -12 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**4 + 198*z**3\/5 - 8*z**2.\nAnswer: 2*z**2*(z + 20)*(5*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -365 * -28.321\nAnswer: 10337.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.7309 and 0.003?\nAnswer: -0.0051927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -18 + 139\/4. Let z(b) = -9*b**3 + 6*b**2 + 5*b + 5. Let l be z(-8). Let t = l - 99169\/20. Find the common denominator of t and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u*u**(-1)*u)**(-17\/2))**(5\/6) assuming u is positive.\nAnswer: u**(-85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-4676)\/(-1160) + -4 + 2\/29)\/(8\/(-48))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000006994 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*h + 2*h + 3. Is 6\/5 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.03 - 22?\nAnswer: -24.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1071376 - -5?\nAnswer: 1071403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2320?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 10167\/8 less than 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.2532075*-1.1.\nAnswer: 0.27852825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**2 + 3*g**2 + g**2 - 3 + g**2 + 3 + (-g + 1 - 1)*(-2*g - g + 2*g) + 4 - 9 + 3 + 5*g**2.\nAnswer: 8*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -550 or -560?\nAnswer: -560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 37680 and 1720720.\nAnswer: 5162160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 299928493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {j: 1, e: 2, r: 1, x: 2, a: 1, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 165 = -8*w + 13*w. Let j(o) = -o**3 + 8*o**2 + 2*o - 14. Let f be j(8). Let r be 130\/f - (-8 - -7). What is the greatest common divisor of r and w?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 75257*h*q**2 - 53*h*q + 91615206*h - 41*q**2 wrt q.\nAnswer: 150514*h*q - 53*h - 82*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12 (base 15) to base 9.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (3\/5)\/(((-130)\/(-13))\/(-50))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**4\/3 + 41990*l**3\/3 + 43368780*l**2 + 175383961480*l\/3 + 86090965324000\/3.\nAnswer: 5*(l + 1300)*(l + 2366)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 + 15*b**2 + 28*b + 28. Let q be h(-13). Solve q = j + 7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-10)\/9)\/5)\/(1148\/4592)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:13 AM and 10:02 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:18 AM and 10:44 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -1148.\nAnswer: 1\/574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (2430 - 3*b - 2349 + 8*b)*(0*b - 6*b - 2*b) as u*b + t*b**2 + a and give u.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*t - 2*t**4 - 4646*t**2 + 4644*t**2 + 3*t**4 - 133*t**3 to y*t + l + n*t**3 + r*t**2 + p*t**4 and give n.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 177 divide 22471212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000001098 to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + m**2 + m - 9. Let r be (8 - 8)*(403\/65 - 6). Give j(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -444 + 2653. Let n = a + -2209.00001994. Round n to 6 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0*(3 - (-21)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 177 = -l + x, 0 = l - 0*x - 5*x + 177. Let b = 292 + l. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 99 and 902.\nAnswer: 8118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9585 is divided by 1195.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*a - a + 0*a)*(-840*a - 14*a + 4 - 82*a) in the form u*a + s*a**2 + l and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1593260 to the nearest integer?\nAnswer: 1262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 - 9 = 9*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 + 0. Let t(a) be the second derivative of 1\/12*a**4 - 9*a + 1\/6*a**3 + 0 - 1\/2*a**2 - 1\/5*a**5. Determine t(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 3 - 4. Let g = b + 0.95. Let q = 39.05 - 39.25. Is q at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v**4 + v**4 + v**4)*(3*v - v - 3*v) + 50*v**5 - 20*v**5 + 14*v**5.\nAnswer: 43*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3220 (base 12) to base 2.\nAnswer: -1010101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -113324542 rounded to the nearest 1000000?\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 96577.78 micrograms to kilograms.\nAnswer: 0.00009657778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.23949548321 - -0.5?\nAnswer: 0.26050451679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 848306168 is divided by 391?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 87371707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4?  (a) 3.4  (b) 0.469  (c) -4  (d) 391\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5585521 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35 and 11076625.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41 (base 12) to base 13.\nAnswer: 3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (6\/99*22)\/(8\/102). Solve 2*d = w + 4, 27 = 2*w + 5*d + p for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 + 4*h + 3. Let t be i(-3). Let z = 23 + t. Solve -4*d + 14 = 3*y - 3, 4*d = 3*y + z for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (21\/14)\/(-3*(-1)\/(-75560)). Is 6\/4*5\/((-75)\/b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44022104 (base 5) in base 13?\nAnswer: 1024ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 80 - 19. Suppose 62*z = t*z + 64. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1*3*4\/(-9). Let t = 1 - 4. What is the nearest to 0 in j, t, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.64 rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (40\/(-28) - -2)*7. Suppose 3*u = 64 - l. Solve u = -4*t - t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9011602g in kilograms?\nAnswer: 0.0009011602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.1  (b) -423  (c) 557\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 70095 is divided by 35035.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = -167*m - 2502. What is z(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-6))\/((-644)\/63 + 10)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 18\/(-48)*2\/3. Which is the closest to u?  (a) -1  (b) 5  (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23390623 a multiple of 1517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*(-2 + 3 + 0). Suppose v = -3*y + 18. Differentiate -3*b**3 + y*b + 5 - 6*b wrt b.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:51 AM and 4:27 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {z: 1, w: 2, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) be the first derivative of l**3 + 4*l**2 + 9*l - 19. Let n(j) = j**2 + j + 1. Let y(s) = 2*n(s) - o(s). Determine y(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1990 is divided by 47?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**2 + 6*d - 7. Is r(-9) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 149 = 3*c + 5*b, b = 2*c - 121. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.10925ug in milligrams?\nAnswer: 0.01110925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 79216251 to the power of 1\/3, to the nearest integer?\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of -1\/11*q**2 + 1\/11*q + 7 + 1\/33*q**3. Determine p, given that b(p) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**3 + y + 1. Let s(n) = 2*n - 4. Let d(v) = -v + 1. Let o(z) = 12*d(z) + 4*s(z). What is 4*g(m) + o(m)?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -155744, -155969, -156194, -156419?\nAnswer: -156644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 64274.\nAnswer: 2, 7, 4591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 190358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54 = 4*t - t. What is the common denominator of (-273)\/t*15\/55 and 79\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -25*u - 24. Let y(a) = -5*a - 5. Let r(t) = -2*l(t) + 11*y(t). Let j be (50\/(-15))\/(2\/3). What is the least common multiple of 4 and r(j)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w - 8. Suppose 5*j = 2*d - 10, 5*d - 2 - 8 = 5*j. Let p be q(d). Which is smaller: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 1 + 1532*y - 1547*y)*(3*y - 4*y - y).\nAnswer: 30*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5191926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 4*n = 3, 5*n - 4 = z + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 27 = 8*c. Solve 4*g - 4*j + 1 = -j, -2*g - c*j = 23 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -953 + 953. Suppose -5*h + 4*f + 26 = 0, 2*f + 0 = -3*h - 2. Solve g*x = -h*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -10*i - 6. Let x(k) = -7*k - 4. Give -5*d(o) + 8*x(o).\nAnswer: -6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 + -33. Let v = 915973\/185520 + 2\/11595. What is the common denominator of 31\/b - (-4)\/(-6) and v?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, -2\/15, -4, -238\/5, 1\/4, -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 + 26 = 5*g + 6 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1352390.\nAnswer: 2, 5, 13, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 91*c**2 + 3829*c - 3833. What is s(1)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhhhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -2018, -2207, -2516, -2945, -3494?\n\"Answer: -60*n**2 - 9*n - 1949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 520 minutes before 6:27 PM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*10824.1829.\nAnswer: -10824.1829","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -4 - 3*k**2 - 3*k + k - 2*k + k**3 + 7. Let x be t(4). What is the biggest value in x, 4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**3 + 8*h**2 - 13*h - 3. Determine f(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -16, 1306, 1.\nAnswer: -16, 1, 5, 1306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 105a - -10?\nAnswer: 106a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of -1\/10*t**5 - 1\/30*t**6 + 0*t**2 + 3 - 1\/12*t**4 - 3*t + 0*t**3. Let z(d) be the first derivative of b(d). Factor z(y).\nAnswer: -y**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 1 j when two letters picked without replacement from jhjjhaahhahhl.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ryoorroorsrcrood. Give prob of picking 1 r, 1 o, 1 c, and 1 y.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = m**2 + 6*m + 2*m**2 + 4 - 2*m. Suppose 4*s - 8*s - 25 = -5*l, 20 = 4*l. Let d(w) = w**2 - 4 - 1 + 6 + w + s. What is c(r) - 4*d(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 at most 282\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -687 = -5*y + 4*f, -5*y + 11*f = 6*f - 690. Suppose 17*q - y = 8*q. Solve -11*g = -q*g - 12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -52, -2, -39, -10 in increasing order.\nAnswer: -52, -39, -10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -8*o**2 - 8. Suppose -3 = -7*u + 11. Let d(z) = 1 + 174*z - 527*z + 176*z + z**u + 177*z. What is -2*a(r) - 14*d(r)?\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -3*b**3 + 6*b**2 - 17*b - 3. Let c be p(4). Sort c, 5, 1, 2, -3 in increasing order.\nAnswer: c, -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = -10 + 2. Let i be s\/(-7)*56\/(-40). Factor 0 + 0*l**3 - i*l**4 + 0*l + 2\/5*l**2.\nAnswer: -2*l**2*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 + d - 1. Let c(s) = 8*s**2 - 6*s - 2. Let v(n) = -c(n) - w(n). Let u(z) = 20*z**2 - 11*z - 6. Let o(k) = 4*u(k) + 9*v(k). Determine o(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 2*a = 6, -2*a - 4 = -4*z - 10. Which is bigger: 1\/100 or z?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -16011\/127832 - -4\/15979. Let h = 32 - 95\/3. What is the second biggest value in -0.6, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -3*m**2 - 283*m + 1350. Give w(-99).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) be the third derivative of 0 + 0*w**4 - 4\/15*w**5 - 17*w**2 + 1\/12*w**6 + 0*w**3 + 0*w. What is the third derivative of p(c) wrt c?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0 + 4 = 0. Let y = 6726 + -6726. Which is the nearest to 1?  (a) q  (b) y  (c) -1\/6  (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/12 and 158\/60 + -58 + 57.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -281964034 divided by 1\nAnswer: -281964034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 7352.56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from awvavawvwwaw?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 7*h**3\/3 - 935*h**2\/3 + 3238*h\/3 + 520.\nAnswer: (h - 130)*(h - 4)*(7*h + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 - -2) + 6 - -1. Let i(q) = q**2 - 7*q - 11. Calculate the remainder when 74 is divided by i(a).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 6*(2 - (-1 - -2)). Let m(w) = -4*w + i*w**2 + 4 + w**3 + 7*w - w**2. Let x(z) = -z**2 - 24*z - 4. Let g be x(-24). Determine m(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101 = y - 2*p - 107, 10*y = -3*p - 32. Let s(d) = -d + 4. Let m be s(0). Suppose -5*g = -g + m. What is the closest to g in -0.01, y, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3926, 3925, 3924?\n\"Answer: -v + 3927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1275 divided by -17?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 319970\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -493570 by 5.\nAnswer: -98714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.8666195l?\nAnswer: 866.6195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 3*g. Let o(i) = -3*i. Let u(a) = 6*o(a) + 4*r(a). Let n(v) be the third derivative of v**5\/30 - 17*v**2 + 2. Give n(u(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -z**3 - 19*z**2 + 149*z - 10. Give j(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -3 - 2*m + 3*m + 2 + 4. Let j be q(-5). Calculate the remainder when (-1 - j) + 2 - -7 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q + 8. Let t be j(-8). Suppose 3*n + 0*n - 48 = t. Suppose -3*m + c + 6 = -m, c = 4*m - n. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 648 divide 708912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2876 = -4*b. What is the remainder when b is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -9*b**2 - b + 677. Let q(w) = -7*w**2 - w + 678. Calculate 5*q(f) - 4*y(f).\nAnswer: f**2 - f + 682","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**3 + h**2 - 2*h + 3. Let t be y(0). Which is the second biggest value?  (a) t  (b) 4\/5  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + sqrt(304) + (1*(sqrt(304) + -2 + sqrt(304)))**2.\nAnswer: -28*sqrt(19) + 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:59 PM and 3:14 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 174*u - 83*u - 91*u - 331*u**2. Let n(r) = 2*r**2. Calculate l(n(b)).\nAnswer: -1324*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = -4*j + j + 3 + 3*j**2 - 1. Suppose -2 - 8 = -5*x. Give g(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2793) + -2*sqrt(2793) + sqrt(57) + (-2*sqrt(627))\/sqrt(11))\/(-1*sqrt(243) + sqrt(12)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 16  (b) -2\/13  (c) -32  (d) 89  (e) -2\/33  (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = 2*d**2 - 26*d. Let j(g) be the second derivative of -g**3\/3 + 13*g**2\/2 + g - 386. Give j(t(c)).\nAnswer: -4*c**2 + 52*c + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -480 divided by 120?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*(h\/(h*h**(3\/5)*h))\/h*h*h\/((h*h*h**(-2\/19)*h*h*h)\/h*h))\/((h\/h**(-7))\/h**5) assuming h is positive.\nAnswer: h**(-712\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15435 + -15330. Solve -27*d - z = 8*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from qlqlleelzqzqlllg?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1530\/(-884) - 6\/(-26).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-81 + 32 + 396*i**2 + 49)*(-4 + 5 - 2*i**2 + 1) as x*i**2 + s + d*i + h*i**4 + o*i**3 and give x.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6951\/17 - -409. Let a = 477.56 - 472. Let q = a + -5.96. What is the nearest to z in -5, q, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -d + 2, 3*k = 4*d + 202. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 2737*z + 2043. What is the ten thousands digit of u(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 506030.\nAnswer: 2, 5, 7, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -6*b + 2. Let v(w) = -18*w. What is c(v(o))?\nAnswer: 108*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 16) in base 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 113684715?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(208) - 2*sqrt(208))*1 + 3 + 5 + sqrt(208)*-1*3)**2.\nAnswer: -768*sqrt(13) + 10176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 84042697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -129, 770, 4, -3, 0.\nAnswer: -129, -3, 0, 4, 770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 33\/5  (b) 3  (c) 0.5  (d) -2  (e) -284\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-148)\/(-1924)*26\/8\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3605971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 138*y + 115*y - 287*y.\nAnswer: -34*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -460351\/10 + 45954. Let n = y + 81. Let h = -23.1 + 23.6. What is the closest to 1\/4 in h, -0.3, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3895 is divided by 229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*u**3 - 3518*u**2 + u**3 + 5*u**4 + 3520*u**2 to b*u**2 + c*u + f*u**3 + h + p*u**4 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (12 - 30 + 9)*(4*b - 4*b + b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 111271376 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Does 219 divide 14437575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 76159796941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (48\/18)\/8*-1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ugguuuwyugvguwuuguuy. What is prob of sequence gww?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2 + 1ee76e?\nAnswer: 1ee76c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 220406 - -3?\nAnswer: 220412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -18131, -36317, -54547, -72821, -91139, -109501?\n\"Answer: -22*q**2 - 18120*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -1108562.88 rounded to the nearest ten thousand?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 227*j + 2518. What is the remainder when 439 is divided by u(-10)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + r + 13. Let q = -8 - -8. Let z be x(q). Solve 0 = -3*s + o + z, 0 = -3*o - 0*o + 6 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 83 and 42899.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 + 18. Suppose -14*b - 4*q + 850 = -11*b, 0 = -t*b - q + 865. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -72600 (base 8) to base 6.\nAnswer: -351132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1047 + -1039 + -6 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -75 - -109. Let p = 37 - w. Put 2\/9, -0.3, p in descending order.\nAnswer: p, 2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of 0 - 3\/56*f**8 + 0*f**2 - 3*f + 0*f**5 + 0*f**6 - 7\/12*f**4 + 0*f**7 + 0*f**3. What is the third derivative of i(b) wrt b?\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 265 - -1?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5\/3, -4, 2\/9, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -483909\/7 + 69700. Let x = o - 569. Suppose 2\/7*m**3 + x*m**2 - 8\/7*m**4 - 2\/7*m + 0 = 0. What is m?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*r + 247 - 271 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.0102 + -0.0101997379. What is o rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3232 divided by -128\nAnswer: 101\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.394 * 0.4.\nAnswer: 0.1576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1 + sqrt(1573) + sqrt(13) + sqrt(832) + 1).\nAnswer: -80*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1277160 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 118 = 2*z - 3*y, z - 147 = -2*z - 3*y. Let k = 182 - z. Suppose q - k = 20. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -57aa + -1024?\nAnswer: -6823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -0.4, 118?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -130.279 + 130. Let z = v + -0.221. Which is the nearest to -0.8?  (a) -2\/7  (b) -4\/7  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*j - j + 21. Let d(c) = -2*c**3 + c + 1. Suppose m + 0 = -1. Let q be d(m). Solve 3*v = -5*l - j, q*v - 2*l = -5*l - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -311153, -311150, -311145, -311138, -311129?\n\"Answer: l**2 - 311154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 345\/675 - (-1)\/(-9). Is -206 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:22 AM and 1:29 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4374 by 54.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 2*t - 999 = 0, 8*t = -3*p + 6*t - 609. Let u = p - -1207\/6. What is the common denominator of -41\/18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r**(-22)\/r*r))\/r*r*r)\/r**(-12)*(r**12)**(4\/7) assuming r is positive.\nAnswer: r**(300\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1406*z + 13101 = 329*z - 4131 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/(-24))\/(6\/(-9)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 222*a - 89*a + 14 + 251*a - 32*a + 411*a to the form i*a + q and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -42 + 37 - (-7 - -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 93.71980005 rounded to zero dps?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3659 + 3660. Calculate the least common multiple of 2*(-1)\/4*-8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {n: 10, b: 9}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -129868 + 906128\/7. Is -421 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 1, 4\/29, 0.3.\nAnswer: -9, 4\/29, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 12636 and 18?\nAnswer: 12636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44733464110632 - -0.1.\nAnswer: -44733464110631.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7604.821 millilitres to litres.\nAnswer: 7.604821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2713 (base 8) to base 14\nAnswer: 77d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 201211311220 + 22?\nAnswer: 201211311302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-8)\/((-2)\/(-1)*-1). Suppose 6*h + u = 2*h. Let q(l) = 2*l**3 - l - 1. Give q(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*s**3 + 2*s**3 - 4*s**3)*(s - 2*s + 3*s) - 57*s**4 - 52*s**4 + 105*s**4 to o + b*s + i*s**2 + x*s**4 + t*s**3 and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 217304, 434837, 652370, 869903, 1087436?\nAnswer: 1304969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-23)\/v**(4\/15))\/((v*v**(-25)*v)\/(v*((v\/v**(-1\/9)*v)\/v)\/v*v)))**12 assuming v is positive.\nAnswer: v**(332\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 54146673589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3)\/(-8 + 10 - 13).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 204?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = l**4 - l**3 + l**2 - 1. Let d(n) = 8*n**5 + 3*n**4 - 3*n**3 + 3*n**2 - 11*n - 3. Let x(t) = d(t) - 3*z(t). Find the second derivative of x(u) wrt u.\nAnswer: 160*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27064.8589561992 take away 0.3?\nAnswer: -27065.1589561992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1\/(-2)*(-5 - 193)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:47 PM and 3:40 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -14215108 - 9575319?\nAnswer: -23790427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/12)\/((-70)\/(-15)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 2*i - 13 = -1, 4*v + 4*i = -4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 217 minutes after 5:59 PM?\nAnswer: 9:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 v, and 2 p when four letters picked without replacement from opvvpvvov?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9.5, 0.1, -0.1, 4, -14, -2\/13 in ascending order.\nAnswer: -14, -9.5, -2\/13, -0.1, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -5*r + 18. Let j be (20\/3 + -6)\/((-2)\/(-12)). Let k be w(j). Let v = 1.1 + -1. Which is the closest to v?  (a) -0.4  (b) k  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 160 minutes before 9:10 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -16*w. Let k be -4 + (-24)\/(-3) + 52. Let s = 58 - k. Let z(g) = -2*g**2 - 6*g**2 + 5*g**s. Determine z(i(j)).\nAnswer: -768*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 228952 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1760*g + 5*f = 1765*g + 10, 2*g + 10 = 4*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 4*h**2 + 4*h + 1. Let u be l(-3). Find the common denominator of (-175)\/18 - 0 - -2 and (-39)\/(-60)*u\/10.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(7) - sqrt(252)*-6) + sqrt(7) + sqrt(70)\/((sqrt(200)\/sqrt(4) + sqrt(50))\/sqrt(5) + sqrt(10)) + -4)**2.\nAnswer: 230*sqrt(7)\/3 + 92584\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -2*d**5\/3 + 32*d**4\/3 - 32*d**3\/3 - 308*d**2\/3 - 382*d\/3 - 140\/3 = 0.\nAnswer: -1, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 176491680 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-4)\/6)\/(2\/(-3)). Let l = 4 + x. Solve -w - 4 = -l*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of -h**3\/6 + 2*h**2 + 2*h - 1. Let a(p) be the first derivative of n(p). Let m(b) = 2*b - 5. Determine 5*a(y) + 4*m(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2151 - -2160 - (5 + 0 + -4 + 75)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -3 + 5 - -31 - 42 - 7\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -98 + 53. Let a = l + 45.085. Let x = a - 0.14. What is x rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -264 or 2\/3?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:58 AM and 1:20 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v + 3. Let q be p(0). Suppose 21 = 3*b + q. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 71042.\nAnswer: 2\/35521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -4*u - 30. Suppose -23 = -o + 3*o - y, 3*o - 4*y = -47. Let v be t(o). Suppose 0 = 7*z + v - 20. Solve -3*p - 4*b = 7, -5 = -3*p - z*b - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -627, 11, 3095 in increasing order.\nAnswer: -627, 11, 3095","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 448157233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 8 - 8 - -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -4*p**2 + p + 106. Let a(i) = -i**2 + 1. Let m(j) = -a(j) + x(j). Find the first derivative of m(k) wrt k.\nAnswer: -6*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1838599.27843 + -6?\nAnswer: -1838605.27843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 28 - 17. Let c be 1 + (-8)\/(-2) + -2. Let v(h) = 9*h + 29. Let u be v(-3). Solve 4*g - 5*r = -1, u*g + c*g - 3*r = -k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -0.4, 0.01, -3, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.43 - -0.13. Which is the smallest value?  (a) d  (b) 1\/8  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*p**3 - 45*p**2 - 156*p - 108.\nAnswer: 3*(p - 18)*(p + 1)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1079*x**2 - 2149 wrt x?\nAnswer: -2158*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 19*a**2 + 3*a**2 - 3*a**2 to the form w*a**2 + p*a + z and give w.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 - -28. Suppose 0 = s*p - 30 + 2. Let h be 1\/(-3) + (-74)\/(-6). Solve h + 0 = p*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of q**3\/6 - 12*q - 14. Let g(b) be the first derivative of o(b). Let t(m) = 3*m. Calculate g(t(u)).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-34)\/8 - -4)\/(2 + -1). What is the nearest to h in -4, -23, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 795\/10 + (-1)\/(-2 - 0). Suppose -43*x = -39*x - j. Calculate the smallest common multiple of x and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-38)\/2*(528\/19)\/(-44).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**3 + 17*t**2 + 8. Let z be u(-17). Let n(y) = -y**2 + 12*y - 14. Calculate the smallest common multiple of n(z) and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80) + sqrt(80)*4 + sqrt(5))**2 + sqrt(180) + 0 - (sqrt(5) + sqrt(30)\/sqrt(6)*6 + sqrt(605)*4)**2.\nAnswer: -7560 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 416120\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express -90*b + 30*b + 56*b + 2 as a + m*b and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -52*p + 45. Let m be d(-5). Suppose 24*t + m = 2201. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5?  (a) -353  (b) -1  (c) 32  (d) 0.5  (e) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-4 + 0 + 1)*(-4 - -1). Suppose 3*g - 9 = 3*f, 4*g - 5*g + 4*f = v. Solve 2 = -9*w + g*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, p: 1, e: 2, v: 1}. What is prob of sequence pve?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is (12\/(-1))\/(((-6400)\/60)\/16*(-3)\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3030 != 3029?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -22*w**3 + 2*w**2 + w. Let u be -1*6*8\/48. Give t(u).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1220122001100 (base 3) to base 15.\nAnswer: -1511ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 603197.\nAnswer: 7, 86171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -487000800*j*u**6 - 2*j*u**2 + 1431285*j*u - 3*u**2 - 8*u wrt u.\nAnswer: -58440096000*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 693974703 - 5.97?\nAnswer: 693974697.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -3701116\/7 + 529714. Suppose 0*q = -q - 981. Let z = j + q. Calculate the common denominator of z and 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvvvvv. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/3)\/((-16)\/(-20)*5\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = -q, -3*g + 12 = q - 5*g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from btbbtbtbbbbbtbttbbb.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -2908 less than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 380 - 378. Let c be ((-2 - -10) + -3)\/(-1 + n). Solve 5*d - c*a = -0*a - 10, 0 = 2*a + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -3327356, -3327339, -3327310, -3327263, -3327192, -3327091?\n\"Answer: j**3 + 10*j - 3327367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 3*r**2 - 15. Suppose -2*y + 5*y - u = -48, -y + 2*u = 21. Let z(d) = d**2 - 4. Let v(c) = y*z(c) + 4*t(c). Let w(b) = -5*b**2. Calculate v(w(j)).\nAnswer: -75*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(19) + 5 + (sqrt(931) + -4)**2.\nAnswer: -55*sqrt(19) + 948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -5800 and -2.\nAnswer: 11600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 61 - 66. Suppose 5*h + 14 - 4 = 0. Let d be (4\/h)\/(56\/(-98)). What is the third smallest value in d, 1\/3, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b**6*b)\/b))**(-14)*b**(2\/15)\/((b*b**7)\/b) assuming b is positive.\nAnswer: b**(947\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {f: 2, v: 8}.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that -f**2 + 77746*f - 13033104 = 0.\nAnswer: 168, 77578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -5 + -6 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 1726*u - 22449. Give t(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 819 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange h**2 + 2*h**4 - h**2 + (h + h - h)*(-2*h**3 - 3*h**3 + h**3) to the form n + c*h**2 + t*h + o*h**3 + m*h**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 13309817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 127303 + -5?\nAnswer: 127276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r - 15. Let o be w(0). Let x(s) = s**3 + 14*s**2 - 18*s + 7. List the prime factors of x(o).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 647871\/32 + (-137)\/(-4384)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50490 = -517*k + 50500 - 16202. Calculate the smallest common multiple of k and (-25 - -1)*(-3)\/4.\nAnswer: 1476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 26*s**2 + 20*s**2 - 7 - 50*s**2 + 5*s**3 - s - 4*s**3. Let p(n) = -n**2 - 10*n + 2. Let h be p(-8). Let g = h - 13. What is z(g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 5, l: 1, q: 4, a: 4, x: 1}. Give prob of picking 1 l and 1 q.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 129\/618010 and -16\/577705.\nAnswer: 26574430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (15 + 3*f - 15)*(-171 - 366 - 50 + 108 - 408)*(-10 + 3 + 0).\nAnswer: 18627*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 47875403951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -54 - -51. Suppose -2*p = 5 - 3. Sort l, -4, p in ascending order.\nAnswer: -4, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:32 PM and 2:35 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = -2*x + 5*x. Suppose -4*l + 20 = x. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -64*c + 1331. Does 136 divide o(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1115044 is divided by 1616.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1283 - -2900. Suppose 0 = -23*s + 2*s + a. What is the lowest common multiple of s and 49?\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.2392106814 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6297874.\nAnswer: 2, 11, 83, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 - -100?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b + 81 = -3*b. Let r be b\/(-7) - (-6)\/42. Let k be (-6)\/(-10)*1040\/312. Solve r*x = 3*x - k for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 146630 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: Express d**2 + 9*d - 22*d + 12*d - 28*d**3 + 14*d as a*d**2 + i*d**3 + p*d + t and give i.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -5  (c) -4  (d) 26  (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17 - -67. Let k = 20 - w. Let g = 29.936 + k. What is g rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 21627 and 9063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 295539320 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 0*t - 3*g = -25, 0 = 5*t - 3*g - 11. Suppose 0 = -t*d - x + 12, 5*d - 1 = -4*x + 14. What is the first derivative of 1 + 2*p - p - d*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 11, u: 6, v: 1}. Give prob of sequence uvju.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 413 + -2768\/7. Let w = m - 125\/7. Let g = 1510\/9 + -168. What is the second biggest value in g, w, -0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*g - 20*g - 3 + 1)*(12*g - 16*g - 16*g)*(2*g + 0*g - g).\nAnswer: 220*g**3 + 40*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 3*r + 16 = 0. Suppose -4*t + 25 = -27. Suppose t + 2 = 3*g. Solve 0 = -l + g*l + r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g**3 - 17907*g**2 + 41*g + 3232 wrt g.\nAnswer: -12*g - 35814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 260505 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/d**(-15))\/d)\/(d*d\/(d*d**(-22)\/d)) assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*k + 12 = -15*k. Solve k*s + 5*v + 12 = 0, s + 5*v + 15 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*z**2 - 2*z**2 - 11*z**2.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-36)\/24 + (-2)\/(-1). Let y be 9\/(-6)*8\/6. Sort t, y, -1\/7 in decreasing order.\nAnswer: t, -1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 13.7 in -1\/4, -12, -1\/11, -21.6, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -v - 4. Let t be b(0). Let g be t\/6 + (-24937)\/(-33). Suppose 3*l - 323 = l + 5*w, 5*l - 2*w = g. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 145, 1201, 4067, 9649, 18853?\n\"Answer: 151*q**3 - q**2 + 2*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -872 + 1739 - 867 + 7*b.\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -6*t**2 + 24*t + 2. Let d be r(4). Suppose 4*n = -d*y + 4, 6*n - n - 2 = -y. Suppose 9 = 2*l + l. Solve -l*v + 10 + y = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 403.\nAnswer: -3\/403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 159 - -160. Let k = 450 - t. List the prime factors of k.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1096*k - 13040 - 2374 = -362*k for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1869*u = -5*w - 1842*u - 599, w = -2*u + 43 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*i**2 + 51*i**2 - 7*i + 142 - 13*i**2 - 27*i**2.\nAnswer: -6*i**2 - 7*i + 142","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -320033313 (base 4) to base 13\nAnswer: -80b35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.4  (b) 4  (c) -11\/3  (d) -29.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (56\/280)\/(19\/124830*18)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 30451 + -30440. Put -3, 0.2, 0.02, -0.06, d in decreasing order.\nAnswer: d, 0.2, 0.02, -0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1176931627?\nAnswer: 107, 283, 38867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 48 - 48 - 2*n. Let w(p) = -7*p. Calculate d(w(x)).\nAnswer: 14*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -8803 * -2648\nAnswer: 23310344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18 - -8) + -3 - 4 - (3 - 10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.2*-0.02654258\nAnswer: -0.005308516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 160*r - 635. Let p be m(4). Let j be (-1)\/((-1)\/2) + 2. Solve k + 2*k + j*h + 12 = 0, 5*k + 20 = p*h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1262 (base 7) to base 9\nAnswer: -588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c - 4928*o + 4927*o = -12, -2*c + 23 = 3*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6.7 - -7. What is the closest to -0.1 in 0.1, -1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 16 = 3*q, -42*o + 45*o = -21. Is q at least -171\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -101, -2, 97, 196?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 704194979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = v**3 - v**2 - 1. Let s be 1\/(-3*5\/45). Let i(j) = -2*j**3 + 3*j**2 - j + 3. Calculate s*x(m) - i(m).\nAnswer: -m**3 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 29 + -3 + 2 - (219 + -209)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(2\/40 + (-3)\/(-4))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/(-2)*((-28)\/180)\/((-301)\/258)?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 168 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z - 15 = -3*z. Let n = 11 - 1. Suppose -b = -z*b - n. Let u(j) = 2*j + 6. Calculate u(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 1977828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 1 - 3*h**5 + (-17*h - 10*h + 19*h)*(h**3 - h**4 - h**3).\nAnswer: 5*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.2 and 0.05013?\nAnswer: 1.14987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*w = -29*w + 8120. What is the smallest common multiple of 140 and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -17 + 17. Suppose t = -3*k - 2*p + 57, k + 3*p = -p + 19. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = 2*s + 26, 121*h = 119*h. Which is the closest to 1?  (a) s  (b) -1\/8  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of a**2*q*v - 66*a*q*v**2 + a*v**3 + 4*q*v**3 + 13 wrt a?\nAnswer: 2*a*q*v - 66*q*v**2 + v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -4*m**2 + 5*m**2 + 10 + 0*m**2 - 3. Let r be h(0). Suppose 117 = 5*o + r. Solve z = 5*d - 4, -2*d - 5*z = o - 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = f**2 - 6*f - 271. Let s be k(20). Solve 59 = -10*y + s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of -5*b**4\/2 - 4*b**3\/3 + 7. Factor p(z).\nAnswer: -2*z**2*(5*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(13) + 0)*1 + 1)**2 + -3 - ((sqrt(1573) + -2)**2 - (sqrt(13) + sqrt(13) + (sqrt(468) - sqrt(13)))*-4).\nAnswer: -1566 + 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**17\/s**(8\/7))\/((s*s**7)\/s**(-11)) assuming s is positive.\nAnswer: s**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 64442150537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 a factor of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33 = 7*d - 22494*i + 22491*i, -d = 2*i - 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 208\/308 + 0 + ((-80)\/55)\/(-8). Find f such that 4\/7 + r*f**3 - 4\/7*f**2 - 6\/7*f = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (24\/96)\/((-3)\/16)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -20163106 times -0.1\nAnswer: 2016310.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 14808320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 + 74*k + 342. Is t(35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-53)\/4 + -271 + 282?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-8)\/2)\/(4\/(-54)*-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 337*o**2 + 28*o - 21. Let b be f(11). Suppose -31*s + 2*s = -b. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((y\/(y**(2\/13)\/y))\/(y*y\/(y*y\/y**(2\/27))))**11)**45)**(-3) assuming y is positive.\nAnswer: y**(-34210\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 586 + 43 = -5*b, 5*b - 573 = 3*s. Solve -102*u + 36 = -b*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 131 and 3808956.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 95\/2 and -8\/659.\nAnswer: 1318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11178*d + 29873*d + 14505*d.\nAnswer: 33200*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -81\/5 or -23000?\nAnswer: -81\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*o**2 + o**2 - o**2 + (-2 + 1 - 4)*(8 + 3*o**2 - 8) as z*o**2 + q*o + t and give z.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (27\/(-8 - -11))\/1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2973 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*g**5\/5 + 66*g**4\/5 + 294*g**3\/5 + 456*g**2\/5 + 309*g\/5 + 78\/5.\nAnswer: -3*(g - 26)*(g + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 52 and 128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 136 and 510?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -10*x - 213 + 143 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**5*d**(3\/11)\/d*((d**(2\/11)*d)\/d)\/(d*d*(d**(-1\/2)\/d)\/d) assuming d is positive.\nAnswer: d**(109\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is (30 - 34)*(-14)\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 51*c**2 + c + 50. Let g be m(-51). Let q(o) = -o**3 + o**2 - o. Let k(j) = -9*j**3 - 2*j. Give g*k(a) + 2*q(a).\nAnswer: 7*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = d + 4*b, 0 = -5*d - 3*b + 14 - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(-1*sqrt(567) + 3)*3 - (3 + 2 + (sqrt(567) - (sqrt(567) - sqrt(567)*-2)) + (sqrt(7) - (sqrt(7) + sqrt(7) + 1))*3))**2.\nAnswer: -9804*sqrt(7) + 117931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1686358?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-2 + 2 + sqrt(343))*4 - ((sqrt(343) + sqrt(343) + 0)*-6 - (sqrt(343) - (sqrt(343) + -1)*3)))**2.\nAnswer: 1176*sqrt(7) + 134474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:46 PM and 8:15 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.9 - 0.9. Let k = y - 6. Which is the second biggest value?  (a) -2\/7  (b) k  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in three fifths of a kilometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/16 less than 7946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**1)**42)**(1\/11) assuming z is positive.\nAnswer: z**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -364320 divided by -6624?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 36.5103 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 10648  (b) 5\/2  (c) -0.4  (d) 1  (e) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*l + 48 = 2*c - 5*c, -4*c - 61 + 0 = -133*l + 138*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -134 + -5016?\nAnswer: -5153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12709 = -2299*h + 76952. Let s(w) = 225*w - 3. Let i be s(4). Calculate the greatest common factor of i and h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 185493091 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.1  (b) 3  (c) 1.9  (d) 0.3  (e) -1  (f) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of -x + 9. Let j(g) = g + 2. Let u = 256 + -258. Give u*j(s) - 7*a(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 182 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -8 + (7 + 1 - (-85 + 101))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2492.6841*0.3.\nAnswer: 747.80523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u - u + 8 = 0. Let c be (-4)\/(-2) - (-3)\/3. Suppose l - i = 4, -l - c*l + 3*i = -12. Solve l*y = u*y - 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -19891, -19890, -19889, -19888, -19887?\n\"Answer: b - 19892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**2 - 6*g**3 + 5*g**3 - 3*g**5 + g**2 - 328*g**2 + 9*g**5 + 328*g**2 - 2*g + (0 + 0 + g**2)*(2*g**3 - 2*g**3 - 2*g**3).\nAnswer: 4*g**5 - g**3 - 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**5 - 51*c**4 + 264*c**3 - 600*c**2 + 624*c - 240 = 0. Calculate c.\nAnswer: 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*q**3 + 1 + 403044593*q**2 - 403044593*q**2.\nAnswer: -22*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1937056 is divided by 1407?\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (11 + -36)) + (15 - -88) + 21.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 3*m**2 + 94*m + 40. What is the remainder when k(-32) is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0075974 to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -538 less than 195800.99?\nAnswer: 196338.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4658.999997151 + -4659. What is y rounded to seven dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*t**2 + t - t)*(-2 + 2 + t)*(132 + 104 - 54) in the form u*t + g*t**2 + z*t**3 + f and give z.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 162, 1246, 4170, 9852, 19210?\nAnswer: 33162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) be the third derivative of -37*l**4 + l**3\/6 + 27*l**2. Is a(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -157085\/7 + 18848611\/840. Let m = v - 1\/120. Calculate the common denominator of -161\/30 and m.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 18*x + 2. Let b(o) be the third derivative of -5*o**4\/12 - 66*o**2 + 5*o + 1. What is z(b(r))?\nAnswer: -180*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*((u\/(u**(3\/4)*u))\/u)\/u*u\/((u\/(u**(-3\/2)*u))\/u)*u*u*u\/((u**(-2)\/u*u*u)\/u)*u*u**(7\/4)*(u**(2\/3)\/(u**0\/u))\/(u**(-3\/5)*u*u**1) assuming u is positive.\nAnswer: u**(203\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6 + (-270)\/(-24) + -5. Let z(n) be the first derivative of 0*n - a*n**4 + 1\/6*n**3 + 1\/10*n**5 - 6 + 0*n**2. Factor z(k).\nAnswer: k**2*(k - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -3*m**2 - 3*m + 4. Calculate d(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -476 bigger than -34698\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n + 4. Let r(l) = 9*l - 33. Let u(f) = -4*r(f) - 33*s(f). Let k(z) = -z. Let m(i) = -6*k(i) + u(i). Let o(h) = -4*h + 5*h - 3*h. What is o(m(a))?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 305 + -301. Suppose 3*y + 4 + 5 = 3*i, s*y = -4*i + 52. What is the greatest common factor of 6 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) be the first derivative of -4*a**2 + 14. Suppose 36 = -9*q + 15*q. Let j(m) = -q - 5 + 11 + m. Calculate j(k(c)).\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -19, -4, -42, -1 in ascending order.\nAnswer: -42, -19, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (5 - 1) + (17 - 13) + -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 32 divide 18141728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 5, m: 11}. What is prob of sequence nnnm?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add 99 and -561.7.\nAnswer: -462.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 35*k**3 - 438*k**2 - 732*k - 30. Determine c(14).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -58*m**3 + 0 - 2*m**4 - 3*m + 3 + 80*m**3 + 2*m - 77*m**3 to the form y*m**3 + r + j*m**2 + b*m + n*m**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/19)\/((a\/a**(-8))\/a)*(a*a*a**(-3\/5))\/a*(a*a**(4\/13))\/a*a)**(-22) assuming a is positive.\nAnswer: a**(173822\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r + 4*u + 1384, 3*r = -0*u + u + 1381. Does 38 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1 and 976.87.\nAnswer: -976.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -94, -65, -14, 59?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1001 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 349, -20, -17, -10, 2 in increasing order.\nAnswer: -20, -17, -10, 2, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -236, -237, -236, -233, -228?\n\"Answer: l**2 - 4*l - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/4 or -120214362?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 55.19 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh biggest value in -0.4, -17, 2.7, -1\/27, -0.3, 0.2, -262?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1002251231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*b = -30 - 45 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -20*r**3 + 4625805*r**2 + 3469370*r - 1156455 = 0.\nAnswer: -1, 1\/4, 231291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*v = -13*v + 18. Is v even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (31*j**2 + 9107*j**3 + 0*j**2 + 2*j - 9098*j**3)*(6 - 6 - 9).\nAnswer: -81*j**3 - 279*j**2 - 18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 + -4. Suppose r*k = k - 4. Suppose 4*q + 5*g - 22 = 7, 0 = k*q - 2*g - 50. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1429195053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 4903051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) be the second derivative of -1\/6*d**3 - 3*d + 0 + 0*d**2. Give r(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -43731*r - 13*r**3 + 43731*r + 6*r**2 - 6. Let l(v) = 532*v**3 - 247*v**2 + 247. Calculate 6*l(z) + 247*y(z).\nAnswer: -19*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 304089.9ml in litres?\nAnswer: 304.0899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (22\/18 - 1) + ((-560)\/(-90))\/(-28). Put -0.6, 0.4, 6, l in ascending order.\nAnswer: -0.6, l, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 + -11. Let b be ((-17)\/(-1) - -2) + -1. Let x = m + b. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0, 1, 81, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 157\/152628 and 59\/1896.\nAnswer: 305256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l - 3 + 9 = 0. Calculate the common denominator of 149\/12 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -110111010010001 (base 2) to base 12\nAnswer: -14469","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (137 - 143) + 5 + -30 + -3.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -144 + 200?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many weeks are there in 134.5767318s?\nAnswer: 0.0002225144375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1 + -13342?\nAnswer: -13341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5147139?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (915 - 915 + 5*r)*(1 - 1 - 4) + (-1 + r + 1)*(1 - 1 - 1) in the form l*r + u and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the second derivative of 5*k**3\/6 - 11*k**2\/2 + k. Suppose 189*h - 1841 = 1561. Is g(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**3 - 22*i**2 - 48*i + 1. Let b be f(24). Is 10 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1029)\/sqrt(7) + -4 + sqrt(243) + ((sqrt(1200)*-1)\/(sqrt(196)*-2))**2.\nAnswer: -121\/49 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, 0, -8, -44 in decreasing order.\nAnswer: 0, -8, -43, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 2*y + 81. Determine w(-8).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2111144 - -3?\nAnswer: -2111141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*u + u + 2*u + 15 + 3*u.\nAnswer: u + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 1, n: 2, m: 2, s: 4}. Give prob of picking 1 l and 1 m.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/5*(-3)\/6 - 45. Let u = q + 39. Calculate the lowest common multiple of 1 and (-22)\/33 - 16\/u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.092758902 rounded to three dps?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-532)\/1463*(-220)\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**4 + 39*z**3 - 479*z**2 + 2061*z - 1620.\nAnswer: -(z - 20)*(z - 9)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -61590 + 150843 - 89253 + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1206 = -11*p + 20*p. Let g = p + 140. Solve -6 = g*o - 8*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 218561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -788c - b5?\nAnswer: -7974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -442*d + 438*d + 22 - 30 = -5*c + 36, -2*d = 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Add together -8 and 257919.\nAnswer: 257911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 266*p + 50718 - 46728 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = -9 - 15. Let c be 10\/b + 2\/(-8). Differentiate -3 - 3*g**3 + c + 3 wrt g.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/(-48))\/(((-21)\/(-4))\/3).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*m + 3*q = 36, 563*q - 559*q = -4*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9181, -18367, -27555, -36745, -45937, -55131, -64327?\nAnswer: -73525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-10)\/(-1)*48\/30. Let g = -15 + j. Suppose 2*i = -2*t + 38, -t + g - 20 = -i. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n - 2. Let l be s(-2). Let k be (40\/(-15) - -3)\/(31\/93). Suppose -l*m - k = -11. Solve -y = -4 + m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (5 + -2)*8\/(-12). Suppose l = -4*x + 12, -2*l = 3*l + 4*x - 28. Suppose -l*d - 40 = -9*d. Which is the nearest to d?  (a) t  (b) 5  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - 0. Let c(j) = -j**2 + 16*j - 47. Let r be c(12). What is the remainder when 7 + (3 - 9) + r is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 84950 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -27187, -54361, -81523, -108673, -135811, -162937, -190051?\nAnswer: -217153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by 167.\nAnswer: 4\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/2?  (a) 5  (b) -1119\/83  (c) 6  (d) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -6177070 (base 8) to base 5\nAnswer: -404403234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**4 + 302*s**3 + 22801*s**2 = 0 for s.\nAnswer: -151, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1459 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 7  (b) -1\/11  (c) -0.5  (d) -4  (e) 4  (f) 0.0241\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -20*v**3 - 4*v**2 + 13. What is the tens digit of j(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -8*d**5\/9 + 3790*d**4\/9 + 16444*d**3\/9 - 91502*d**2\/9 - 130916*d\/9 - 26768\/9 = 0.\nAnswer: -7, -1, -1\/4, 4, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 38 = 30. Suppose 0 = -q*f - 2*m + 96, -f - 167 = -5*f + m. Is f a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -1747*o - 2903. What is the remainder when q(-2) is divided by 150?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 20d (base 15) to base 9.\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -12*s - 87. Suppose 2159 = -7*k + 2110. Calculate o(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 824 is divided by 162?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(252)*2 + sqrt(84)\/(sqrt(60)\/sqrt(5)))**2 + (3*(1*sqrt(77) + sqrt(77)) - sqrt(77))\/(sqrt(176)*-1 - sqrt(11)))*1.\nAnswer: -sqrt(7) + 1183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 - -8 - 3 - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes after 6:22 PM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -87 = -27*m - 33 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 18525602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 18\/45)*110\/6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0619 - 0.4619. Which is the nearest to -2?  (a) -0.6  (b) 0.5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56098 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -111011 (base 2) to base 14\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -45484 - -9551581\/210. Let b = -4\/35 - p. Put b, 3, 3\/5, 4 in decreasing order.\nAnswer: 4, 3, 3\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -25184.90057 + 25198.1. Let u = 13.2 - m. Round u to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*y - 36 = -72*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 11. Let v be 72\/27*(-3)\/(-2). What is the greatest common divisor of v and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -52694 divided by 2\nAnswer: -26347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 8.4, 0.4, -3\/4 in descending order.\nAnswer: 8.4, 0.4, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 180 divide (3\/3)\/((-24)\/(-259416))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3703*n**2 - 5 + 5 - 76191*n**2.\nAnswer: -79894*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -w - w - w + 0*w + 15*w**2.\nAnswer: 15*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j**2 + 29*j - 146. Calculate k(0).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.003129740649 to 4 decimal places.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -4 - (-2 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (18\/5 - 3)\/(-12 - (-1020)\/75).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1\/10 of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**2\/4 + 1797*n\/4 - 123525\/2 = 0. Calculate n.\nAnswer: 150, 1647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 6*k + 4*k - 220, 0 = -2*o - 5*k + 134. Let f = 12 + o. Calculate the highest common divisor of f and 672.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 2*y = -10, -2*y = -f + 3 - 2. Let g be 2*(3 + -2) + 0. Calculate the highest common factor of g and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 302 divide 2234984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 459 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/(a*a*a**3))\/(a**(-1\/8)\/a))**28*(a**(-9)\/a**(-3\/5))**(2\/101) assuming a is positive.\nAnswer: a**(-53193\/1010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5440\/(-2720)*4\/(-128).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*x = 3*x + 60. Let j = 387 + -264. Suppose 197 - x = 3*q - 5*z, 2*q = 3*z + j. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-72)\/(-75)*((150336\/256)\/29 - (0 - -20))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -7*r + 50. Let x be s(-5). Let q = x - 81. Let n(h) = 3*h**3 + h**2. Let p be n(1). Solve p*m + 14 = -a, q*a = -4*m - 10 - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63356 at most 63347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 114 = -0*d. Suppose 0 = -4*i + d + 38. What is the remainder when i is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*q**2 - 21*q**2 + 9*q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**3 + 6*j**2 + 2*j - 7. Let v(t) = -8*t**2 - t. Let d be v(1). Let m = d + 15. Determine z(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 2*w**3 - 31*w**2 - 17*w + 62. Let p(b) = 6*b + 130. Let r be p(-19). Let d be o(r). What is the highest common divisor of d and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2*a + 50. Let k be v(24). What is the tens digit of -12*k\/(-6) - -519?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*f**2 - 430*f + 14560.\nAnswer: -5*(f - 26)*(f + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 93\/(7533\/(-5724)) + 0 + 11 + (-25)\/(-15)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 536158 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 50 + 5. What is h in h**4 + 4*h + 11*h - 3*h**3 - 6 - i*h**2 + 0*h + 2*h**4 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppg when three letters picked without replacement from {p: 4, g: 10}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.4 in 4, -0.02, -90?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -k - 7*k - 7*k**3 - 97 + 97.\nAnswer: -7*k**3 - 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: ((-45)\/(-60) - (-6148)\/(-240)) + (-512)\/3840\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -959.6036 rounded to one decimal place?\nAnswer: -959.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -910076*z + z**2 + 910076*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vjjb when four letters picked without replacement from bjvjebeybbvby?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -g**2 + 2*g + 7. Suppose 2*q + 12 = 2*o, -10 = -o + 5*q + 8. Let p be h(o). What is the second derivative of -2*b - 2*b + b + 4*b**p wrt b?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -105, -140, -53, 216, 727?\n\"Answer: 10*a**3 + a**2 - 108*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1908896 and 184?\nAnswer: 351236864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*i**3 + 55*i**2 + 175*i + 125 = 0. What is i?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 67747373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 124899 and 474?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 3*g + 2*g - 5*g + g**2. Let v(z) be the second derivative of -z**3\/3 + 2*z. Determine u(v(x)).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*b + 1554 = 1274. Solve -3*o = 5*v - 5*o + b, -4*v + 2*o = 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1881498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 - -3b?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 417574.\nAnswer: 2, 208787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*i**3 - 7*i**3 + 3*i**3)*(2 - 3 - 2)*(i**2 + 0*i**2 + 0*i**2).\nAnswer: 36*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11)\/(55\/(-50)))\/(8\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v**2 - 6347*v + 3672739. Calculate a(644).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/25 of a meter?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*q + 142 - 107 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j\/(j**(-5\/3)*j))\/(j**(20\/7)*j))**(-3\/5) assuming j is positive.\nAnswer: j**(46\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 332109189, -3 in decreasing order.\nAnswer: 332109189, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 3 c when four letters picked without replacement from {k: 2, c: 7}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*x - 141 + 57 = -8*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - 2 - (10 + -12)) + -1 + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 26*s**3 + 14\/9*s**4 + 0*s + 0 - 198*s**2 - 2\/9*s**5.\nAnswer: -2*s**2*(s - 9)**2*(s + 11)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.2 - 0.3. Let k = 522 - -108. Let d = k + -623. Is h at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 981283.\nAnswer: 981283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 13017972 divided by 295863\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11.8 + -12. Let s = 0.05 - 0.35. Let f = w - s. Which is the second biggest value?  (a) f  (b) 0.2  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 862913, 1, 6.\nAnswer: -3, 1, 6, 862913","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 11*q = 196. Suppose 6*g - v = 3*g - q, -4 = 2*v. Let p be g\/((-4 - -6) + -4). Solve 0 = -p*i + 2*x - 10 - 4, 0 = -3*x - 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 32312 - 550?\nAnswer: 31432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6549*s**3 + 111*s**2 + 25*s - 25529?\nAnswer: -39294*s + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d - 27. Let t be i(15). Suppose 67 - 73 + 4*n - 3*n**t + 5*n = 0. Calculate n.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 - c + 5. Let v = -23 + 26. Suppose -v*y + 4 = -2*y. Suppose -5*r + 4*r - y = 0. Give g(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1074737?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -a + 14096?\nAnswer: 14089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 188\/(-22) - ((-189)\/84)\/((-5)\/(-20))?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -d**2 - 130595 - 130598 + 261193.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13.4 - -8.2. Let t = 4.2 + g. What is the smallest value in 2, -0.02, t, -0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -2*d**2 + 2*d**2 + 2*d**2. Let b(t) = 3*t**3 - 23*t**2 - 7*t - 1. Let s be b(8). Let m(r) = s*r**2 - 69*r + 35*r + 34*r. What is m(h(x))?\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -3041115 (base 9) in base 6?\nAnswer: -54430235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 213601?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 343.00000723 - 343. Round i to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -148522 and 0.02?\nAnswer: -2970.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8962635 is divided by 194?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5048, -7495, -11582, -17315, -24700?\nAnswer: -33743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*p = -3*p + 96 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -534596852*k**5 - k**2 + 652738*k - 144.\nAnswer: -32075811120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 + (12 - 15) + 6 - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-41))**(-4\/7) assuming w is positive.\nAnswer: w**(160\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -4*o + 8. Let x(s) = -s + 1. Let w(y) = 2*n(y) - 4*x(y). Let a be w(4). Put a, -3, 0 in decreasing order.\nAnswer: 0, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -54 (base 7) to base 10.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-10*2)\/((-136)\/34)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d + 1. Let m be c(-1). Suppose 2*t = 7*t - 10. Suppose m = -q - 2*k - 1, k - 3 = -t*q + 1. Solve -q*h + 1 = -2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-4)\/(-6) + 238\/21. Let l(o) = -o**2 - 21*o + 70. Let n be l(-23). What is the highest common divisor of k and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 2. Suppose 7 = 2*w - 5*i + 6*i, 5*w - 3*i = 23. Solve -c + w*c + 16 = o, -t*c - 6 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 138724.\nAnswer: 2, 79, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -12764 + 12761. Sort 3, 57, 5, r, 2.\nAnswer: r, 2, 3, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-930)\/75)\/((-35)\/75)*(-28)\/6?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Do 4501577 and 4501578 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 4923257 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -10151, -20295, -30441, -40589, -50739, -60891?\n\"Answer: -k**2 - 10141*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 2 = -7*r. Let i = 1\/12 - 31\/84. Are i and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7100038.\nAnswer: 2, 11, 29339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 160780 - 2751. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 99*f**2 + 213 - 123 - 758*f**2 + 495 - 94*f**2 wrt f.\nAnswer: -1506*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 38 = y + 2*y, 4*m + 2*y = 26. Suppose 3*q - 5*x = m*q - 61, -4 = -4*x. Calculate the remainder when 1\/5 - -1*688\/10 is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**3 + 7*x**2 + 13. Let l(v) = -v**3 - v + 1. Let k(d) = -g(d) + 2*l(d). Let a be k(-7). Solve a - 6 = -y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 15846206 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 115\/4?  (a) 5  (b) 8  (c) 0  (d) -63  (e) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 157072 bigger than 158931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 71*g - 812. Let r(i) = 34*i - 415. Let j(u) = -5*r(u) + 2*y(u). Give j(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 112*m = 1401568 + 1311790 + 818338. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -67\/3, 0.1, 0 in ascending order.\nAnswer: -67\/3, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -4*y + 86230, -2*l - 2*y - 4037 = -38529. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 580*(12\/10)\/3. Let k = -220 + q. Solve 2*n - 6*n - 4*l + 12 = 0, -5*n = 2*l - k for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b*f*y**2 + 3*b*f*y + b*f + b*y**3 - 3*b*y - 63412*f*y**3 + 99985*f*y**2 - 8*y**3 wrt y?\nAnswer: 6*b - 380472*f - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 164217793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -271 divided by -92361?\nAnswer: 271\/92361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 2*o + 28. Give u(11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18817 is divided by 83.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of -550268 and -4.\nAnswer: 2201072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 49\/5 of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 338077067.\nAnswer: 61, 191, 29017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -159857 bigger than -159845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(300) + 6*(-3 + sqrt(300)))**2 + ((sqrt(300)*-3*6)**2 - sqrt(300) - sqrt(300)))*6 + 1.\nAnswer: -2020031 + 45720*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = a - 3 + 6. Let d(s) be the third derivative of s**4\/6 - s**3\/6 + 44*s**2. Let t = 3 - 5. Let i(m) = -3*m. Calculate a*i(j) + t*d(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (13 + 2*a - 13)*((a - 4*a + a)*(1 - 2 + 0) + 2*a + 3 - 3).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l. Let y(c) = -4*c + 1. Suppose -3*o = 2*o + 30. Let g(q) = o*w(q) - 5*y(q). Let x(d) = -d - 5. Let i be x(-10). Give g(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (10 + (-423)\/36)\/(2\/24). Let c(g) = -2*g**2 - 39*g + 76. Let f be c(d). Solve -4*u + 4 = -4*s, 0 = 2*u + 3 - f for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 60 + -60.1. Which is the closest to h?  (a) 3  (b) 5  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**(-3\/7)\/(r**38*r)*(r\/(r*r**7))\/(r**(-8\/13)\/r*r) assuming r is positive.\nAnswer: r**(-4169\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 11) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, -1\/7, 3, -0.3, -40, 0.048, 32?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 817960 to the nearest integer?\nAnswer: 904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18341 is divided by 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 209 - 118. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 54.48485 centimeters?\nAnswer: 0.5448485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2465.\nAnswer: 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f**2\/5 - 169\/5 = 0. What is f?\nAnswer: -13, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 21467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: (-3*(-6)\/(-6))\/((-11)\/33)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 71 times -0.3\nAnswer: -21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes before 9:50 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1 - 152\/64)*8\/(-10) and (-3 - -2)*61\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3445 is divided by 49?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 3, 1, -1097, -4 in decreasing order.\nAnswer: 3, 1, -2, -4, -1097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v + 15 = x, 2*x + 71 = 61 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1612989 is divided by 537646?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 - 1992616*v + 1992616*v.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 4 - 6*l - 4*l + 0*l to k*l + t and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0223377 rounded to two dps?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 0 + 12 + i + 5 - i**2 - i**3. Let w = 158 + -158. What are the prime factors of q(w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000996834 rounded to 6 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/8  (b) 3\/5  (c) 0.2  (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 3, w: 2, j: 1, n: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (4\/(-8))\/((-2)\/4). Let g be v + 2\/(-15)*9. Suppose 0 = 2*a + 2*a. Is a greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -4*h - 4, -5*t = 3*h - 4*t - 16. Suppose i = -1, 2*l + i + 3*i = h. Find the second derivative of 9*d**l + 7*d + 8*d + 7*d - 9*d wrt d.\nAnswer: 108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the first derivative of 203*z**6\/120 - 28*z**3\/3 + 76*z**2 - 36. Let i(w) be the second derivative of s(w). Differentiate i(h) with respect to h.\nAnswer: 609*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 8 = 0, l = -2*a + 4*l - 6. Let b be (-26)\/(-6) + 2\/a. Find the third derivative of -79*d**2 + d**4 + 67*d**2 + 2*d**b wrt d.\nAnswer: 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 55  (b) 24  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3.36 + 0.46. Let d = 57.72 - o. Let n = d + -54. Which is smaller: -31 or n?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1169200760 to the nearest integer?\nAnswer: 1053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 45 - (-41 + (26 - -53))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + -4. Let x(i) = -i**3 + 3. Let c be x(0). Suppose -5*z = -2*j - 25, -c*j - 22 = -j - 4*z. Put -1, j, d in decreasing order.\nAnswer: d, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -l**2 - 3*l**2 - 8 - 2*l + 11 + 3*l**2. Let a(w) = 4*w + 5. Let r be a(-7). Let g = r - -25. Determine z(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) 2\/17  (c) 0.15  (d) -228  (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) be the third derivative of -3*y**6\/20 + 23*y**5\/30 + 34*y**2. Find the third derivative of k(v) wrt v.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from {b: 2, o: 4, c: 4, z: 1, l: 3}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.3 + 0.2. Let n be -2*1*5\/10. Which is the closest to -2\/7?  (a) z  (b) n  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q + 9. Let f(y) = -5*y + 19. Let a(d) = -3*f(d) + 7*l(d). Let k = 31 + -21. Calculate the remainder when a(12) is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 26*d + 4. Let o(n) = -6*n - 1. Let k(c) = 4*h(c) + 13*o(c). Give k(-1).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 2 e when four letters picked without replacement from eueueeueueeeu?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1898\/37 + 98733\/1924. Put k, -5, 3, 2\/7, 27 in decreasing order.\nAnswer: 27, 3, 2\/7, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 2*h**2 + 10*h + 120. Let f be l(-8). Calculate the greatest common factor of 378 and f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hdrd when four letters picked without replacement from rdrrrddehdejdrdd.\nAnswer: 1\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*n = 15502 - 49774. What is the lowest common multiple of 288 and n?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*u - 77 + 77 + 2*u - 3*u - u**2.\nAnswer: -u**2 - 17*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 44*w + 4088 - 8175 + 4096 + 27*w**2 - 2*w**3. Calculate m(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (2 - 2) + -1 + 77 + -68.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 8434177 divided by 28?\nAnswer: 8434177\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 671 is divided by 130.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7 + -1 + (-3 - 2 - -4).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 2 - 2*k)*(2 + 2 - 2) + 30 - 30 + 18*k)*(-3*k**2 - 6*k**2 + 0*k**2) to z + g*k + f*k**3 + p*k**2 and give f.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -306.5 - -303.5. What is the closest to 1 in -1\/5, -4, k, -18?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 - 6. Let u = f - 1.9. What is the closest to u in -5, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 1 = 0, 0*g + 122 = 5*z + 3*g. Calculate the remainder when 87 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/(-3) + -2 + 288\/(-3). Let y = b + 97. Let p(r) = -r**2 - 34*r - 26*r + 65*r - y. Determine p(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(32) + -2)*-4.\nAnswer: -32*sqrt(2) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20133014 - 130*z - 20133014.\nAnswer: -130*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5 + b27?\nAnswer: b22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 91009, 171241, 251473, 331705?\nAnswer: 411937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -11862.52 rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the second derivative of 67*w**6\/30 + 61*w**3\/6 - 7*w - 1. Find the second derivative of g(m) wrt m.\nAnswer: 804*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 2523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4425 is divided by 203?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 7\/(1\/(-2) - -1). Suppose -2 + z = y. Suppose 0 = 4*r - y. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24746461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p - 2*b = -9, -25*b + 29*b = 3*p - 27. Solve -2*t + 2 = 4*h - p*h, -t = -2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 467 minutes before 4:03 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.2426 + 0.672. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -4*f - 8. Let r = 4 - -6. Calculate the remainder when r is divided by (-34)\/f + 1\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 594 and 2486.\nAnswer: 67122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 736 is divided by 503?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22991 + 23026. Let d be (-3)\/3*(-4 - -1). Solve -2*x + x - 5 = 0, 0 = 4*l + d*x + t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -16\/27?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of 16*v**3\/3 + 14*v + 10. Differentiate z(l) with respect to l.\nAnswer: 32*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20 + 20 + 18*o)*(-49*o - 2 - 2 + 57*o).\nAnswer: 144*o**2 - 72*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, 21, -3, 3, 5 in decreasing order.\nAnswer: 21, 5, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11230800*s**2 + 9552856*s wrt s?\nAnswer: -22461600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-112)*4 + (-182)\/(-98). Suppose -2*v + 32 = -2*j, -5*j - 64 = -v - 0*v. Let t be -6 + 5 + j\/(-10). Sort y, t, -0.1 in decreasing order.\nAnswer: y, t, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = 371*a + 1493. Let z be k(-4). Solve 2*w + 21 = z*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 974699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 4*s - 84 = 0, 42 = -2*o + 29192*s - 29190*s for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 4238*p**3*u - 5080*u wrt p.\nAnswer: 12714*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -4  (b) 705  (c) -3\/8  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -414228640 divided by -280.\nAnswer: 1479388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 109 a factor of 3555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6765268?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: d57c (base 14) to base 5\nAnswer: 2134022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 529249.0003 - 529282. Let m = -6.7 + 39.7. Let c = m + t. Round c to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -27 + 41 + -86 - -7.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) be the first derivative of y**4\/20 - 3*y**2\/10 - 2*y\/5 - 1. Factor j(s).\nAnswer: (s - 2)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when ((2*-2)\/8)\/((-1)\/46) is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 812130 (base 10) to base 8\nAnswer: 3062142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30355, -60713, -91071?\nAnswer: -121429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**2 - 596*q.\nAnswer: 2*q*(q - 298)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -21 + 19 + 511*a - 16230*a**2 + a**3 + 16232*a**2 in the form g + z*a**3 + v*a + t*a**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(-1\/4))\/(k\/(k\/((k*k\/(k*k**(3\/4)))\/k)*k)))**20\/(((k**(2\/7)*k)\/k**(-5))\/(k**(-3)\/(k\/k**(2\/11)*k))) assuming k is positive.\nAnswer: k**(2995\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -24.6 + 24.7. What is the smallest value in 3, 1.6, -2\/19, g?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + 5*l + 80, -2*l + 10 = -7*l. Let y(f) = 6*f + 2. Let u be y(2). What is the highest common factor of c and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*s - 5*d - 29144 - 1976, 2*d = s - 10373. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**3\/13 + 330*x**2\/13 + 1296*x\/13 + 1288\/13 = 0. What is x?\nAnswer: -161, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1283631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.16 * 21\nAnswer: 3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 3*w**2)*(-w + 2*w - 2*w) - w**3 - 12*w**3 - 4*w**3 + (-3*w**2 + w**2 + 0*w**2)*(0*w - 2*w + 3*w).\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) be the first derivative of 0*m**2 - 16*m - 9\/5*m**5 + 0*m**3 - 10 + 0*m**4. Find the first derivative of p(a) wrt a.\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the third derivative of -b**3\/3 - b**2. Let n = 402 + -406. Let t(s) = -s - 2. Calculate n*g(a) + 3*t(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*g + g - 5*g)*(4*g - 2*g - g).\nAnswer: -10*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4618?\nAnswer: 2, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-2 - (-2 - -2)) + 27. Suppose -p*v + 16 = -23*v. Suppose 0 = 2*a - 7*a. Solve v + 0 = 4*b, 2*j + 5*b = a for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.13 - -0.33. Which is the closest to t?  (a) 0.5  (b) 1\/5  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, l: 1, o: 4, f: 6}. Give prob of picking 3 f and 1 o.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -11096578*h. Let w(f) = -f**2. Determine u(w(g)).\nAnswer: 11096578*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2426669283?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1090107*5\nAnswer: -5450535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33391 + -19739. Let r = 13658.471 - m. Let p = r + -0.071. What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h + 11. Let v be y(7). Calculate the common denominator of 0 + v + 134\/20 and 21\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a**2 + 436*a + 9480 = 0. Calculate a.\nAnswer: -79, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -17901, -37441, -56981?\n\"Answer: -19540*u + 1639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 2\/3, 2\/223, 0.5, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.9 + 0.4. Let f = -0.1 - -2.1. Which is the second biggest value?  (a) f  (b) s  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(2\/(-208)))\/((-86)\/(1247\/(-29)))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*g**3)*(3*g - 4*g + 2*g) - 2428*g**4 + 409780*g**2 - 409780*g**2.\nAnswer: -2426*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, 25, -2\/15, 0.020951, -5 in descending order.\nAnswer: 25, 0.020951, -2\/15, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 7:56 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 367?  (a) 2\/7  (b) -1  (c) -6\/11  (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 45788178*0.2\nAnswer: 9157635.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 5*i + 3 = 0. Let u(d) = -1 + i + 12*d**2. Let p(w) = 8*w - 15. Let a(l) = -7*l + 12. Let g(j) = 5*a(j) + 4*p(j). Calculate u(g(x)).\nAnswer: 108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 - (4 + -4) - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 5*s + 202 = 0, 204 = -2*z + 2*s + 76. Let h = 0.176 + 0.324. What is the closest to 1 in h, z, -0.3, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 185326 is divided by 1144?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -11122112?\nAnswer: -11122121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 217 divide 34087480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 80712464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = 2*d + 42. Let t be (-2)\/(-5)*(4 + 6). Sort 1\/4, t, d in decreasing order.\nAnswer: t, 1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 - 15*o**2 - 15*o - 10. Let y be w(-14). Which is the fourth biggest value?  (a) -2\/11  (b) 0  (c) y  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (1 - 6)) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 266, 1051, 2358, 4187, 6538?\n\"Answer: 261*o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 13, 2, -2\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -50326.89  (b) 0.8  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the third derivative of h**5\/30 - h**4\/12 - h**2. What is the smallest common multiple of 16 and l(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = -5 + 20. Suppose k*x = -x - 8. Let b be (-4)\/2 + -1 + x. Sort b, 2, -1 in ascending order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n - 120 = -5*n. Let z be 1\/(-2 - n\/(-14)). Is 6 >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-49)\/b**49 assuming b is positive.\nAnswer: b**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*p = 1587 + 85. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-8*(-240)\/(-320))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 47 a factor of 2256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and 0.0117.\nAnswer: 0.0585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/14 and 19*((-124)\/36 + 3)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -5*v**2 + 41*v + 90. Let a(c) = 5*c**2 - 40*c - 85. Let f(t) = 4*a(t) + 5*o(t). Factor f(l).\nAnswer: -5*(l - 11)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 20\/9 and -38\/15745.\nAnswer: 141705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes before 10:54 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -94201770 divided by 1\nAnswer: -94201770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 + 0.1. Let z = 0.1 + j. Let g = -61.5 - -61.6. What is the closest to 0 in g, z, -2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-133)\/(-14)*(-4)\/(-2)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**17*t*(t*t**(-8))\/t*(t*t*t*t\/t**(-3\/2))\/(t*t**(-2\/23)) assuming t is positive.\nAnswer: t**(671\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 124 - 120. Solve b*w + 2*v = -14, -3*w + v - 29 = -11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*l**2 + l**2 - l**2)*(-l - 4*l + 4*l) + 2 - 2 - l**3 + (25 - 25 + 4*l**2)*(2*l + 12 - 12) - 9 + 9 - 2*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2709.124313 rounded to zero dps?\nAnswer: 2709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -0.1, -301.\nAnswer: -301, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25223 is divided by 25209?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 4:10 PM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*m - 3*r + 6*r, 0 = -3*m + 5*r + 10. Suppose 0 = -4*o + 2*l - 36, 0*l - 2*l + 16 = -2*o. Let w = 12 + o. Put w, 1, m in ascending order.\nAnswer: m, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -2\/3, -3, -14 in descending order.\nAnswer: 2, -2\/3, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, b: 1, m: 1, t: 2}. Give prob of picking 1 b and 1 m.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3971, -3970, -3969, -3968?\nAnswer: -3967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -2\/3, -85.2, 1\/3.\nAnswer: -85.2, -2\/3, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 279 divide 590241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 7*d + 2*d - 6375 = 0, -4*d = -2*p + 2558. What is p rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from trrttrr. Give prob of picking 2 r and 2 t.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is -8703 bigger than -252413\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6222778 bigger than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -1242.464 to the nearest integer.\nAnswer: -1242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4805\/279 + 4 + (20\/18)\/(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -37*g + 54 + 20 = 0. What is the biggest value in -13, g, 2\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1683 and 3267?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -400401*r**4 + 774140*r**2?\nAnswer: -9609624*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -x. Let v(r) = -202*r + 8. Let h(a) = -3*l(a) + v(a). What is the units digit of h(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 227118611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = r**3 + 5*r**2 + 2*r - 2. Let n(h) = h**3 + 2*h**2 - h + 2. Let d be n(-3). Let x be c(d). Solve 0 = -2*u + 2 + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2437, 2120, 1605, 904, 29, -1008, -2195, -3520?\nAnswer: -4971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -1*(-1)\/(-40)*(-9680)\/12100\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 8*k + 15 = 0. Suppose 5*f + 5*y + k + 2 = 0, -4*f = -5*y - 32. Is ((-1)\/f)\/(-2*(-1)\/(-858)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 359218 is divided by 48.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 38949.746 to the nearest one thousand.\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = -w**2 + 9*w - 6. Let h be r(8). Find the second derivative of 46*f**h - 42*f**2 - 7*f - 4*f wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u = -3425*f + 3424*f + 24, 56 = -8*u + 3*f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 157219083.\nAnswer: 3, 7, 831847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*v = 22*v + 175 for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.176269037 to 5 decimal places.\nAnswer: 0.17627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-2*(sqrt(539) + 1)**2 - (sqrt(539) + 0)*4).\nAnswer: -1080 - 56*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 8448 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3\/1187, -1\/8, -17, 4 in decreasing order.\nAnswer: 4, 3\/1187, -1\/8, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*v - 17*v = -q + 2, -q + 17 = 4*v. What is the closest to -1 in 0.2, -2\/13, q, 1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4228048?\nAnswer: 2, 11, 24023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/(-3)*-10*(-66)\/(-420)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 73, 33, -69, -263, -579, -1047, -1697?\n\"Answer: -5*f**3 - f**2 - 2*f + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27081.4*-111.\nAnswer: -3006035.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1586 + 822*b - 1586.\nAnswer: 822*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35.04364mm to nanometers.\nAnswer: 35043640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c**(-2\/5)*c*c*c)\/(c*c*c\/c**5*c))\/(c**3\/(c\/(c*c*c**(-2\/29)*c*c))) assuming c is positive.\nAnswer: c**(-48\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 966871.5l?\nAnswer: 966871500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -18.26, -1, 3 in decreasing order.\nAnswer: 3, -1, -18.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 50570 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 comes next: 189304, 189305, 189306, 189307, 189308?\nAnswer: 189309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, 6, 12?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 249697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:08 PM and 11:14 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/5 and 2\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:30 AM and 10:34 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 + 5*q**2 + 3*q - 14. Give y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 317452 > 317452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44\/3*5*((-12)\/(-50))\/((-5498)\/27490)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 11 + 4. Let h be 5 - -1*(-3 + 1). Suppose h*y - y = 8. Solve y*q + 10 = 5*j - 2, 5*q = 5*j - i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -581*x + 878*x + 11583 for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.276589 to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, 3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 924364 is divided by 259?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t - 1413 = -285. Suppose 5*l = -l + t. What are the prime factors of l?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-75)*5)\/((-3)\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 AM and 7:42 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = 4*y - 2. Let l be w(8). Let j be (18\/l)\/((-9)\/(-45)). What is the nearest to 1 in 0.1, j, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 20132, 20109, 20072, 20021?\n\"Answer: -7*u**2 - 2*u + 20141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 divided by -1757.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.096 + -0.096. Which is the closest to -1\/4?  (a) 3  (b) s  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -656821*r - 5254559. Calculate k(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -29*s - 2807. What is the lowest common multiple of c(-97) and 1036?\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.92103 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = q + 3. Let c be h(-3). Suppose -7 = -c*o - o. Let d = 19 - o. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*w - 24*w = 0. Let n(g) be the first derivative of 0*g**4 + 1 + g**3 + 0*g**2 - 3\/5*g**5 + w*g. What is the third derivative of n(z) wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = 3*v. Suppose o = -2*s + 99, -3*s + v*s - 342 = -3*o. Suppose 6*x = o + 4925. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -2*i**4\/5 + 7776*i**3\/5 - 108522*i**2\/5 + 193724*i\/5 - 92976\/5 = 0?\nAnswer: 1, 12, 3874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1770)\/(-55) - 6\/33 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + 2. Let o(z) = -z**2 + 6*z + 12. Let d be o(c). Suppose -21992 = -2*b + 2*v, d*v - 1489 = 3*b - 34469. Round b to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l + 6. Let f(k) = -2*k + 3. Determine 9*f(g) - 4*y(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + -1205936?\nAnswer: -1205936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 134223029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -129*n + 10. Let p be r(-5). Let h = p - 32751\/50. Which is bigger: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-12)\/(-36))\/(-1 - 44\/(-42)). Let z(l) = -5*l + 2. Let t(b) = 10*b - 4. Give m*z(p) + 3*t(p).\nAnswer: -5*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -168905, -168840, -168783, -168740, -168717, -168720?\n\"Answer: -z**3 + 2*z**2 + 66*z - 168972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1632991 and -1101218.2.\nAnswer: 531772.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3632 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4972 - -367997\/74. Find the common denominator of m and 51\/8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 + 273.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-110)\/(-30))\/((-52)\/156)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l**5\/3 + 104*l**4 + 5768*l**3\/3 + 19948*l**2\/3 - 12930*l - 53284\/3 = 0.\nAnswer: -11, -7, -1, 2, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -133*n**2*q*r**3 - 199073*n**2*r**2 + 754*n*q*r**3 - 2*n + 329*q*r**3 - q*r**2 - q wrt n.\nAnswer: -266*q*r**3 - 398146*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 5*a**2 + 2*a + 2. Suppose -2*k + 3*n = 19, -5*k - n = 4*n - 15. Determine i(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20 + 21)\/(10\/(-10)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwwwwwbwwwbwwwwwwwww. Give prob of sequence wbw.\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 78 and 10062?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11\/419 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**3 - 11*w**2 - 25*w - 11. Let x(l) = -2*l**2 - 5*l - 2. Let t(h) = 6*a(h) - 33*x(h). Find the second derivative of t(o) wrt o.\nAnswer: -36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6 - -9. Let x**2 - 6*x + 4*x - w*x**2 + 4*x = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + h = -4. Let j be -1 - 0*(-1)\/(-1). Let s be 0*((-2)\/j - h). Solve s*v + 8 = 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -287969*j**3 + 4*j**2 + j - 54.\nAnswer: -1727814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from znwzgnxdg. Give prob of sequence zdwz.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 + (-3 + 2 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 84\/(-29400)*2828 - (-3 + -5)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 9.39 * 0.5\nAnswer: 4.695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of -45*(66\/(-9) - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2*(-1 - 1)\/(-2). Let y be 0\/2*v\/(-4). Let u be ((6 + y)\/(-1))\/(-2). Solve 2*p + 15 = -3*t - 4, -u*p - 4*t = 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (18\/(-24))\/(135\/3060)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + 47 = -7. Suppose -24 = 17*t - o*t. Let j(n) be the first derivative of -n**3 - 3*n**2\/2 + 2*n + 5. What is j(t)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -65370 divided by 4358?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 2443014 + 110?\nAnswer: 2443124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 m when three letters picked without replacement from {u: 3, e: 2, f: 3, j: 10, m: 2}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from muxmsmmuhshmwmmsmwwm. Give prob of picking 1 h and 1 m.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, k: 1, f: 1, t: 1, s: 1}. Give prob of picking 1 k and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 + 5*m**2 - m - 7. Let q be (1\/(-2))\/(6\/60). Let x be j(q). Is x < -4\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 96\/(-112)*(-7)\/(-8)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4 and 61?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 261587, 261513, 261431, 261341?\nAnswer: 261243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rm when two letters picked without replacement from nttrtbrvtvbvmnn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:54 PM and 4:03 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -8*m - 1. Let o(k) = -k**2 + 6*k - 6. Let h be o(4). Suppose l + l = h. Give f(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -16\/7 in 0.3, 13092\/25, -26, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -189 by 157251.\nAnswer: -63\/52417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 8 = w, -5*i + 2 - 30 = -3*w. Let c = w - -11. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*u**3 - 4*u**3 + 2*u**3)*(u - u + 2*u)*(-1 + 0 + 7).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -2*n**3 + 18*n**2 + 8*n + 4. Let h(v) = -2*v**3 + 18*v**2 + 7*v + 2. Let t(m) = 3*h(m) - 2*k(m). Find the second derivative of t(p) wrt p.\nAnswer: -12*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**3 + 5*q**2 + 4*q - 4. Let c be r(4). Let l = 30 - c. Suppose -k + l*m = 6, 2*k - m = -6*m + 24. Sort -2, -4, k in increasing order.\nAnswer: -4, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -22. Calculate the greatest common factor of z and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-16))\/((-20)\/(-40))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 4 - 2. Calculate the remainder when 0*(-6)\/30 + 3 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -36, -27, -18, -9, 0?\n\"Answer: 9*z - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -44732685\/11 and -4066607 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*t + 0*t + 0*t)*(-4 + 1 + 2)*((-t - 2*t + t)*(0 - 2 - 1) - 3 + 3 + t + 7*t + 10*t + 4*t + 2*t - 1 + 1) to the form i*t**2 + n*t + b and give i.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4077860 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*s - i = 4, 2799*s - 11 = 2803*s - 7*i + 6*i + 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.1001 + -0.1001. What is the closest to h in 2, 3, 0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = -d**2 - 13*d + 13. Let y be h(-14). Let z(t) = -4*t**2 + t. Let b be z(y). Does 22 divide (-6 - b)\/((-2)\/44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 7*k**2 + 9*k + 5. Let q(m) be the first derivative of 8*m**3\/3 + 5*m**2 + 6*m - 2. What is 5*q(v) - 6*t(v)?\nAnswer: -2*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4 + -3 + -34 + 1. Let p = i - -47. Factor -p*c**3 + 12*c + 3*c - 9 - 3*c**2 + 12*c**3.\nAnswer: -3*(c - 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 3*v + 2*l, 727*l + 48 = v + 732*l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s*s\/(s\/(s**(-2)*s)*s))\/(s*s\/(s**(-3)\/s)))\/(s**(2\/9))**(4\/9))**6 assuming s is positive.\nAnswer: s**(-1150\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -17 + 16. Let z be ((-15)\/(-30))\/(j\/46). Let m(x) = x**3 + 22*x**2 - 24*x - 23. Let p be m(z). Solve 2*v + 0*v + 8 = p for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 49136 = -0*u + 74*u. What is the greatest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -73, -167, -261, -355?\n\"Answer: -94*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3 + 0)\/18)\/(17\/68).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.188756 kilograms to nanograms.\nAnswer: 5188756000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 508, 572, 650, 748, 872, 1028?\n\"Answer: n**3 + n**2 + 54*n + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 11909.484 months?\nAnswer: 9.92457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = 80*w**3 + w**2 - 2*w + 6. Let a(u) = -80*u**3 - 2*u**2 + 3*u - 8. Give 2*a(p) + 3*i(p).\nAnswer: 80*p**3 - p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -60*d - 70*d - 25*d - 27*d as t*d + i and give t.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 11531*(-4)\/(-57)*42\/28. Let v = 1210 - s. Which is smaller: -5 or v?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 22 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3 and 79974.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (48\/72 - (-233)\/6)\/((-6)\/(-48)). Solve -52*a = 27*a - m for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -93 + 178. What is the remainder when p is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than or equal to 4\/393705015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -1430.\nAnswer: -2\/715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2460534 and 580?\nAnswer: 24605340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is u in u**4\/3 + 96040*u**3 + 6917857238*u**2 + 41505126608*u\/3 - 20752995481 = 0?\nAnswer: -144059, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0 + 0 - 40*f**2 + (-5 + 2 + 1)*(-5 + 5 + f**2).\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -x**2. Suppose 9*k - 50 = -23. Let i(s) be the second derivative of 1\/3*s**k + 0 + 6*s + 0*s**2. Determine p(i(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4741\/28 or -169?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 12 and -18.0633?\nAnswer: 30.0633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 704466?\nAnswer: 2, 3, 7, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4.7 and 12.78.\nAnswer: 60.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 50356347*x**6 + 757186*x**2 - x + 20 wrt x.\nAnswer: 6042761640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-18)\/(-7))\/3)\/((-1256)\/26376).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*-1*sqrt(4896))\/(sqrt(32) + 4*sqrt(2048)).\nAnswer: -5*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -k**2 + k - 1. Let l(g) = g - 2. Let s(n) = n**2 + 3*n + 3. Let p be s(-2). Let o be l(p). Let u(i) = 4*i**2 - 3*i + 3. Give o*u(j) - 3*t(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 - 167 - -40 - -48?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u + y = 17, u = 3*y - y - 4. Suppose -3*x = -x - u*x. Suppose x = -0*r + r - 11. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 594*k - 578*k + 80 = 0. Which is the nearest to -2\/7?  (a) 2\/63  (b) -2\/3  (c) -4  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2725 - 714. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5 + 9. Suppose 2*u + l - 3 = 2, -4*l = a. Suppose -u*q = q - 8. Solve -f - q*f = -15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dede when four letters picked without replacement from derdrradeerrrad.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -u**2 + 12*u - 3. What are the prime factors of n(8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (10760808\/(-1440))\/((-2)\/(-3)). Let a = r - -11208. Let o = 12\/13 - -15\/26. Calculate the common denominator of o and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 953 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1398 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = 2*r**3 + r. Let h be b(1). Let l(o) = -h*o + 3 - 3 + 4*o. Let p(z) = -z. Give l(p(k)).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1504 + -567. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 = -5*f + 19 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*l - 4*u - 406, -2*l + 2*u - 330 = 2*l. Let a = -62 - l. Let m = 9 + -5. Solve -a = -m*y - 0*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 942543*b**2*n**2 - 6419*b**2*n - b*n - 15*b + 1 wrt n.\nAnswer: 1885086*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-72)\/21 - 1*12\/(-3).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4775910 to the nearest one hundred thousand.\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 + 9*k**2 + 10*k - 4. Let o be y(10). Put o, 8, -1 in ascending order.\nAnswer: o, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fqqmmfqmmhhyfhmfmf. Give prob of picking 2 m and 1 h.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = -12*f + 123. Is 2 a factor of ((-14)\/(-21))\/(f\/480)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w. Let j(s) be the first derivative of s**6\/180 + 4*s**3\/3 + 2. Let y(u) be the third derivative of j(u). Determine y(p(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 9468 = -4*m + 5134, 5*m - i = 18256. Suppose 0 = -5*h - 146 + m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -11?  (a) -123\/7  (b) 0.4  (c) -164\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 + j**2 + 1. Let g(c) = c**2 - 2 + 3 + 9398*c**3 - 9392*c**3 - c. What is g(p) - r(p)?\nAnswer: 7*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q - 26. Let c be j(-27). Let n(h) = -46*h + c + 16*h + 21*h. Let b(l) = 17*l - 2. What is -6*b(x) - 11*n(x)?\nAnswer: -3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 21562\/13 + -577361\/325. Let n = -118 - t. What is the common denominator of -29\/30 and n?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 4*w = 60, -4*u + 3*w - 7 = -3*u. Suppose -u*b + 6*b + 6 = 0. Calculate the highest common divisor of 27 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 90280 is divided by 11269.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -18.4 + 24. Let f = 0.4 + -6.4. Let b = r + f. Sort b, 0.5, -3\/2 in increasing order.\nAnswer: -3\/2, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*i - 5 + 5)*(10*i - 2*i + 7*i + (-4 - 2*i + 4)*(-1 + 1 - 1) + (-5*i - i + 4*i)*(-3 + 6 - 12)) in the form x*i + a + t*i**2 and give t.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**2 - 5*y + 2. Let i(m) be the second derivative of -m**3\/3 + m**2\/2 + 4*m - 6. Give -3*h(x) + 7*i(x).\nAnswer: 3*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -134264432 (base 7) to base 6\nAnswer: -511355205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 693 minutes after 9:54 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 298910565?\nAnswer: 3, 5, 19, 349603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 386947490*y**2 + 152677724*y.\nAnswer: 773894980","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.4057  (b) 0  (c) 32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -67375448 + -3?\nAnswer: -67375451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2)\/(-1) - 5 - -2. Let c be 4 - ((-9)\/o)\/3. Suppose 0 = 7*b - 6*b - c. Solve k = -0*k - b for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*c**4 + 4*c**4 - 3*c**4 + (-c**2 - 2*c + 2*c)*(0*c**2 - 3*c**2 + 4*c**2) + 2*c**2 + 4*c**4 - 3*c**2 - c**2.\nAnswer: 7*c**4 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -h**3 - 5*h**2 - 6*h + 4. Let g be z(-5). Suppose 0 = 2*k + 2*x - 2 - 8, 0 = 2*k - 4*x - g. Is 35\/3 - 6\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2320)\/(-1015)*7\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 2*p**2 + 3*p + 2. Let q(g) = -15 + 17 - 4*g**2 + 4*g + 7*g**2. What is 5*b(n) - 4*q(n)?\nAnswer: -2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-15) + (96\/5)\/(-4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11b0 (base 12) to base 11.\nAnswer: -1562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 0.02  (b) 5\/3  (c) -1\/3  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*n**3 + 17*n**3 - 3 + 3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 69 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = -2*h**2 - 58*h + 189. Let o be z(3). Put 2, o, 4, 3 in decreasing order.\nAnswer: 4, 3, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -t**3\/3 + 26*t**2 - 612. Let m(r) = -3*r**2. What is d(m(g))?\nAnswer: -9*g**4 - 156*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(3\/(-7)*140\/(-12)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.225 to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 525786 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/3  (b) -0.07  (c) 0.38  (d) -0.4  (e) -4100\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 136 divided by 2\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.011 minus 1.44?\nAnswer: -2.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 8, 92, 314, 740, 1436?\n\"Answer: 11*x**3 + 3*x**2 - 2*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:21 AM and 10:31 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 149, 549, 1215, 2147, 3345?\n\"Answer: 133*q**2 + q + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7272*p + 1299*p - 284495 = 348643 for p.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1559, 3120, 4683, 6248, 7815?\nAnswer: 9384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 7:38 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = -4*s + 2*i, 3*s - 7 = -2*i - 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2\/(-6))\/((-666)\/135 - -5). Let h be (4\/(-5))\/(2\/(-5)). Let d be -1*(3 - h)*m. Solve -4*i = b - 2*b + 19, -3 = -3*i - d*b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1618 - 889. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 23\/1950 and 29\/16575.\nAnswer: 33150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2 + -5. Let y = -6 + 0. Does 13 divide 2*(y\/c + 15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 89413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5.2 + 6. Let z = q - 1. Is z bigger than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -7*g**2 + 6*g + 27. Let b(p) = -3*p**2 + 4*p + 13. Let x(j) = 9*b(j) - 4*y(j). Let m be x(-13). What is the highest common factor of m and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:44 PM and 11:46 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4968.1 - -4676. Round u to the nearest 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbb. Give prob of picking 2 b.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (992\/(-6))\/2*(-99)\/22*(-7)\/(-42).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -305471, -610931, -916391?\n\"Answer: -305460*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -30a9 + -35?\nAnswer: -3111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*y**2 + 0*y**2 + 3*y**2 + (2*y - 4*y + y)*(1 - 1 - y) + (863*y**2 - 207*y**2 + 372*y**2)*(-1 + 2 + 1).\nAnswer: 2055*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1298411516.\nAnswer: 2, 17, 19094287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74*g = 73*g + 5*m + 49, -8*g + 2*m = -11*g - 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -15, 1, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 83 - 84.5. Put 1\/6, 2, r, 2\/9 in decreasing order.\nAnswer: 2, 2\/9, 1\/6, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 101\/53774 and 125\/2004?\nAnswer: 322644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -51 + 36. Let x be (-10)\/h - (-2)\/(-3). Let o = 0 + 5. Sort o, 1\/6, x in decreasing order.\nAnswer: o, 1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 95264 and 7328.\nAnswer: 95264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1360.8 times -2?\nAnswer: 2721.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -7540164 - -4290164. What is o rounded to the nearest 100000?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i + 12. Let l be d(-12). Solve -2*m + 4*m - 6 = l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -2*q**2 + 4*q. Let f(b) = 11*b**2 + 6*b. Let h(u) = -5*u**2 - 3*u. Let p(y) = 6*f(y) + 13*h(y). Suppose -5*j - 6 - 4 = 0. Give j*n(g) - 3*p(g).\nAnswer: g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**3 + 8*y**2 - 3*y + 15. Give c(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.05  (b) -3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = 4*f + 1354, 4*r - 1329 = -3*f + 493. What is the remainder when r is divided by 118?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -7 + -3 + -3.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 24275810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/4 - 712179*r\/4 + 24928715\/2.\nAnswer: -(r - 70)*(r + 712249)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/12942 and -20\/9.\nAnswer: 12942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the third derivative of 0*k + 0*k**3 + 0*k**4 + 8*k**2 - 1\/60*k**5 + 0. Let r(q) = 0*q**2 + 2*q**2 - 2*q**2 - 2*q**2. What is o(r(a))?\nAnswer: -4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.632862um in nanometers?\nAnswer: 3632.862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the third derivative of 7*v**5\/60 - v**3\/6 - 598*v**2. Let g(w) = -w - 8. Let d be g(-7). Let s be 1*d*(-6)\/(-6). What is r(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k + 426 - 356. Let o(m) = -m**2 - 20*m - 84. Let j be o(k). Solve 0 = -j*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 5*v + 20. Let d(k) = -k. Let i(c) = 2*d(c) + z(c). What is the lowest common multiple of i(0) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -16, -4\/7, -4, -1909, -0.5 in increasing order.\nAnswer: -1909, -16, -4, -4\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -648 = 71*b - 113*b + 123*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f + 21 = 3*f - 3*k, 5 = 2*f - 5*k. Let u be -2*((0 - f\/(-4)) + -3). What are the prime factors of (85 - 3)*u - -1?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 68 and 82178.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -33 - -5085.\nAnswer: 5052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1445472109?\nAnswer: 1445472109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -443\/7 + 63. Let x be 7 + -14 + ((-528)\/18)\/(-4). What is the closest to f in 3, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -d880c + 11?\nAnswer: -d87db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-486)\/(-135)*((-5)\/(-35) + (-73)\/21).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 967562077?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 606.820124 to one decimal place.\nAnswer: 606.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 23 - 5. What is the highest common factor of s and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 368651789\/10 - 598874716619\/16245. Let f = h - -2\/5415. What is the common denominator of f and -77\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 + 8. What is i(-6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2996540.05 rounded to the nearest one thousand?\nAnswer: 2997000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -106 - (16 + -17 - (8 + 3) - (-3 + 4))?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-l + 2*l + l)*(17*l**2 + 7*l**3 - 17*l**2) as m*l**4 + y*l**3 + x + f*l + i*l**2 and give m.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1021*y**2 - 280*y**2 - 343*y**2)*(y - y - 2*y**3).\nAnswer: -796*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, n: 1, p: 1, w: 1, q: 6, s: 3}. Give prob of sequence sqqw.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.18 in 1\/5, 11.3, 4, 1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -j**3 - 10*j**2 + 11*j + 15. Determine t(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 773388718?\nAnswer: 2, 17, 73, 463, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*i**2 + 9*i - 12*i + 2 - 2 wrt i?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30353\/22 + -1379. Calculate the common denominator of 84\/(-672)*58\/3 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by 90?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 8 and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-2)\/(-4))\/(56\/(-42)). Let n be ((-1)\/(-4))\/((-1)\/(-2)). Which is the nearest to -1\/2?  (a) 0.3  (b) l  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -3*w**3 - w**2 + 2*w - 1. Let q be m(1). Let j be (-1)\/q - 2\/6. Differentiate j + 1 - 4*d**4 + 3 wrt d.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**2 - 2*c - 6. Let z(x) = x**2 + 2*x + 7. Let a(s) = 7*t(s) + 6*z(s). Let m be a(-2). Suppose 3*l + 5 - 29 = m. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -207 in 2\/7, 154, 3\/5, 1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -4438 * -0.08\nAnswer: 355.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 14004220 (base 5) to base 8\nAnswer: 423601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 57\/56 and -93\/8920.\nAnswer: 62440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000004552518474 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56448 = k + 5*b, k - 4538*b - 56424 = -4537*b. What are the prime factors of k?\nAnswer: 2, 14107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 0 - -314?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -g**3 + 396*g**2 + 3691*g - 18567. Calculate p(405).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -40031840 rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -13*o**2 + 8*o + 13. Let j(c) be the first derivative of c**3 - c**2 - 3*c - 1. Let a(p) = p**2 + p - 39. Let n be a(5). Calculate n*j(y) - 2*l(y).\nAnswer: -y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 - 61486*t**2 + 19 - 36471*t**2.\nAnswer: -97957*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/27056 and 39\/74404.\nAnswer: 297616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fqdibtq. What is prob of picking 1 d and 1 b?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2a - 0?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tpoo when four letters picked without replacement from {p: 5, t: 3, o: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 172 and 473.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 868.6 times -7?\nAnswer: -6080.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**2 - 2*n**3 + 0*n**3 + 3*n**2 + (1 - 1 + 3*n**2)*(-3*n + 8*n - 4*n).\nAnswer: n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 21005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide -86600 by 8.\nAnswer: -10825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 46925?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 270 divided by 15.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 242796881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(209)*2 + sqrt(209))*-1)\/(sqrt(33)\/(sqrt(3) - ((sqrt(24)*1)\/sqrt(8) - sqrt(3))))*3.\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 14783 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**3 - a**2 - 4*a - 11. What is v(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 24831253 at most 24831260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - (-3 - -1) - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 0*h = 128. Suppose -4*i - 5 + 1 = 4*w, 4*i - h = 5*w. Suppose 4*z - i*z = 97. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 286\/44 + (-2)\/4. Suppose 2*u - 5*b + 3 = -2*u, g = 5*u - 3*b. Suppose 2\/3*v**u + 2\/3 - 2\/3*v - 2\/3*v**2 = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c**2 + 8*c - 1. Let u be i(-8). Suppose -j = 4 - 6. Let w(t) = -t + 2*t - 4 + t**j + 3. What is w(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 105627 and 118779.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6529 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -409\/8 + 51. Calculate the common denominator of 57\/16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (2 - 57\/28)*71. Let i = o - -21\/4. What is the common denominator of 25\/3 and i?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21442818 <= 21442818?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9166.422 kilometers to nanometers.\nAnswer: 9166422000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 5*k - 10. Let g(p) = 5*p - 5. Let r(u) = 4. Let y(z) = g(z) - 2*r(z). Let t(n) = -3*j(n) + 2*y(n). Calculate t(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 436752?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -136 divided by 91440?\nAnswer: -17\/11430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 22\/(-121) + 2\/132.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**3 + w**3 - 3*w**3)*(-93*w**2 - 49*w**2 + 216*w - 218*w).\nAnswer: 142*w**5 + 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 56548851.\nAnswer: 3, 17, 1108801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:52 PM and 3:10 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = -332303*d**2 + 36. Let h(g) = 6*g. Calculate c(h(p)).\nAnswer: -11962908*p**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -359 + 74. Let m = 145 + c. Let g = m - -133.7. What is g rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let l = -38 - -71. Let d = l + -199\/6. Is 0.4 smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 18 * -3.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) be the second derivative of -f**4 + 7*f**2\/2 - f. Find the first derivative of n(b) wrt b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from gggggssgssgggsgg?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*f**4 + 36*f**3 - 5*f**2 + 7 + 0*f**4 - 34*f**3 - 3*f**4 + 2*f - 4 to w*f**4 + d*f**3 + t*f**2 + n*f + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 91 and 416.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/184)\/(51\/68*2\/(-9)).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -40\/20836737 and 19\/208367370.\nAnswer: 208367370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*w = 17*w - 6. Factor -2\/5*l**3 + 1\/5*l**w + 0*l + 1\/5*l**4 + 0.\nAnswer: l**2*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0007875 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 33109, 33309, 33523, 33757, 34017, 34309, 34639?\n\"Answer: v**3 + v**2 + 190*v + 32917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32 - 32 - 82*i**3.\nAnswer: -82*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66540895?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -748*i - 282363. Calculate h(-378).\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -61b (base 12) in base 6?\nAnswer: -4035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 5\/3 + (-1)\/(-3). Suppose -l*n - 3*n = -110. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*h**3 + 19725765*h**2 + 19796753?\nAnswer: 6*h**2 + 39451530*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**4\/(w**5*w)*(w*w**7\/w*w)\/(w*w**(-1\/3)) assuming w is positive.\nAnswer: w**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2102803*y - 46558*y + 350122*y.\nAnswer: -1799239*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 2*j + 4. Let q be u(0). Suppose -4*i = 2 - 10. Find the third derivative of -2547*l**i + 2541*l**2 - 8*l**q + 0*l**4 wrt l.\nAnswer: -192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 2*t - 7*t**2 + 15*t**3 + 0 - 16*t**3 as l*t**3 + r*t + g*t**2 + x and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor m**3 + 77*m**2 - 9805*m + 206719.\nAnswer: (m - 37)**2*(m + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, 3, 4, -594 in ascending order.\nAnswer: -594, -4, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1872)\/64)\/39 - (-247)\/52.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l**(-9)\/l*l))**(2\/105)*l**(2\/27)\/l*l**2 assuming l is positive.\nAnswer: l**(239\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4615 and 3510.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**4\/c**(-11))\/(c**(-5\/4)\/(c\/(c**5*c))) assuming c is positive.\nAnswer: c**(45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -2*z**3 - 4*z**2 + 4*z + 5. Let o(u) = 3*u**3 + 5*u**2 - 5*u - 6. What is 4*o(j) + 5*p(j)?\nAnswer: 2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u**2. Let v be (-4)\/(-34) + (-60)\/(-68). Let l(i) be the first derivative of -4\/3*i**3 + 0*i**2 + v + 0*i. What is l(o(t))?\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.543 + -170705632047\nAnswer: -170705632046.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 4*u**2 - 13 + u**2 - 20.\nAnswer: -3*u**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14449?\nAnswer: 14449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 681 + -681.0177. What is h rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes after 2:11 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -2\/21, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -h**2 + 2*h**3 + 6*h - 3*h**3 - 4*h - 4*h + 48. Let j be a(0). Suppose i = -2*i - j. Is -16 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(133) + (-2*sqrt(133) + sqrt(133))*4 - sqrt(133))\/(sqrt(441)\/sqrt(7)) - (-5 + (3*sqrt(2299)*3 - sqrt(2299))).\nAnswer: -268*sqrt(19)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 + 3*o**2 + 7*o - 6. Let b(a) = a**3 - 10*a**2 - 9*a - 14. Calculate the smallest common multiple of b(11) and v(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 14 and 748.\nAnswer: 5236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1562908 times -21\nAnswer: -32821068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 5479 - 2979. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:57 AM and 6:31 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 19 = 5*m + 31, 0 = 5*m + f + 50. Let b(k) = -154*k - 13. Let q be b(m). Let a = -2971\/2 + q. What is the common denominator of 1\/5 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b*c**3 - 519*b*c**2 + 1862*b*c - 119*c**3 - 470*c wrt c.\nAnswer: 12*b*c - 1038*b - 714*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 97998083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*a**5 + 4*a**5 - 3*a**5 + (-a + 4*a - a)*(2*a**4 + 0*a + 0*a) - 760*a**5 + 1001*a**4 + 762*a**5 + 294*a**4.\nAnswer: 7*a**5 + 1295*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/((d\/(d**(-2\/7)\/d))\/d))**(19\/3))**(2\/71))**(-37) assuming d is positive.\nAnswer: d**(2812\/1491)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -120*k - 35 = -127*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = w + 1. Let q(a) be the second derivative of a**3\/3 + a**2\/2 - 7*a. Give q(x) - y(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -55 + 58. Suppose -220 = -2*q - y*z, -2*q + 3*z = 3*q - 550. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 0  (b) -20  (c) -690\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -62884*j + 1 + 62884*j + 2558*j**2.\nAnswer: 2558*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/5, -0.3, -1\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6 = -2*c, -91*y - c + 528 - 2091 = -121*y for y.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44 = 33*r - 55. Suppose k - 225 = 2*b, 779 = 3*k + r*b + 149. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 + 11*x**2 - 35*x + 3. Calculate the smallest common multiple of 32 and v(3).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -64 - 595*b + 24 + 22 + 1755*b**4 + 18 wrt b.\nAnswer: 21060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 1 c, and 1 i when three letters picked without replacement from iziizqc.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -262*u - 384*u + 401*u in the form o*u + n and give o.\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + -25?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*s = 69*s + 1465256. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -10, -5, 4, 34, 0, 6 in decreasing order.\nAnswer: 34, 6, 4, 0, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - -2)*(-3)\/1. Let j be (-1 - y) + -21 + 19. Suppose j = 8*i + 2*i - 2240. 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: Which is the biggest value?  (a) 3\/5  (b) -0.5  (c) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13982 = -1421*u - 13017 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -2. Let m(j) = -j**2 + j + 6. Let u(s) = 4*c(s) + 2*m(s). Determine b, given that u(b) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2\/13  (b) 0.1  (c) 1  (d) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -550, -407, -264, -121, 22?\nAnswer: 165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 90 - 84. Let k(j) = 8*j - t*j + 2*j. Let w(v) = v. Give w(k(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = 32940*h + 395244. Determine c(-12).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 22735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67 = -7*z - 38 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((n*n**9)\/n)\/n)\/((n\/(n*((n**(-2\/121)\/n)\/n)\/n*n*n*n))\/n*n))**40)**(2\/57) assuming n is positive.\nAnswer: n**(25760\/2299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*q = 4*q + 130 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1296\/126 + 4\/(-14) + -5. Solve -9 = -b + 3*y, 4*b - 4*y + 16 = -s*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1688 - 65. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*u + u - u + (-1 - 9 + 3)*(-3 - u + 3).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 68 + -10. What is the remainder when j is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 289 - 307. Let p be (-40)\/m + 134\/(-603). Solve p*c + 0 = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen eighths of a litre in millilitres?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(33)\/(sqrt(9)\/sqrt(3)).\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 810 and 114282?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -20 + 27 + -11 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -29120, -28807, -27976, -26369, -23728, -19795, -14312, -7021?\nAnswer: 2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -2*u**2 - 34*u + 464. Determine p(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 8154799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*i**3 - 29*i**3 - 9 + 9.\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3323 - -3?\nAnswer: 3330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 185 - 185. Suppose 817 + 3651 = 5*d + 4*o, d + 5*o - 881 = z. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -308.05 + 308.55. Let q = 0.1 + 1.9. Let y = q + -1.99. Which is the second biggest value?  (a) m  (b) -3\/7  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 - -21. Suppose -p + 2 = 2*g. Solve 3*r + r + 16 = g for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, 3, 83.045, -2\/7, -2 in decreasing order.\nAnswer: 83.045, 3, -2\/7, -4\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -0.3, -5, 13488, 2 in ascending order.\nAnswer: -7, -5, -0.3, 2, 13488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven quarters of a millennium in decades?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 + 4)*(-3 + 3 + 2*r**3 + 2*r**3 - 3*r**2 + 3*r**2 + (-r**2 + 3*r**2 - r**2)*(-r + 4*r - r) - 3*r**3 + 4*r**3 - 3*r**3 - 3*r**3 + 3*r**3 - 3*r**3).\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2448)*3*3 + -3 + 4 + sqrt(2448).\nAnswer: 1 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 422 - 421.9999831. What is x rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -198*t**3 - 14*t**2 + 4*t - 8. Let s(k) = -395*k**3 - 29*k**2 + 7*k - 14. Let r(z) = -7*n(z) + 4*s(z). What is the third derivative of r(o) wrt o?\nAnswer: -1164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 2*v**3 + 15*v**2 + 3*v - 20. Let l be a(-7). Let h(q) = 55*q**3 + q. Let t be h(1). Calculate the greatest common divisor of l and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1*26\/4)\/((-3690)\/22140)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 116 = -6*u + 9*u, x + 34 = u. What is the remainder when 403 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*w**2 + 2*w**2 - w**2 + (-1 + 2*w + 1)*(0 + 0 - 2*w) - 15*w**2 + 24*w**2 - 44*w - 11*w**2)*(2*w + 1 - 1).\nAnswer: -10*w**3 - 88*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 4 = -1. Let a = q - 2. Is (-402)\/6*1\/a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 235 * 0.09\nAnswer: 21.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 206317 and 39553?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = 4*f + 36, 2*f = 4*m - 4 - 24. Let q = f + 11. Solve 4*i - i - q*g = -17, g = -i - 3 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.9478 to two decimal places.\nAnswer: 0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -125.4671 + 126.137067. Let l = -0.67 + p. What is l rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1a6 (base 12) to base 15.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50*f**4 + f**3 + 6*f + 47*f**4 + f**2 + 2 + 4*f**2 - f**3 to the form c*f**4 + w*f**3 + g*f + p + j*f**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 4*u**2 + 4*u - 51440. Calculate y(113).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -12*p**2 + 6*p + 3. Let j(z) = z**2. Suppose 0 = 3*k - 4*f - 53, 4*f = 5*f + 2. Let i(m) = k*j(m) + l(m). Solve i(q) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -35284466 to the nearest 10000.\nAnswer: -35280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4\/(4 - 0)*-2. Let p(v) = 3 + 1039*v - 10 - 1289*v. Is p(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -63197.34 to the nearest one thousand.\nAnswer: -63000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 136, 124, 112, 100, 88, 76?\n\"Answer: -12*g + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1584258245 to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (37 + 62 - 82)*(0 - 6 + 2)*(-1 - 2*h + 1) + h + h - 3*h + (-2*h + 5*h + 0*h)*(2 + 3 - 4) to x*h + m and give x.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 2*g + 1. Let s be h(1). Factor -10*z**2 + 3*z**4 + 8*z**3 + 6*z - s*z**4 - 2*z**4 - 2*z.\nAnswer: -2*z*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65 + 51 - 187 + 89088*h + 71.\nAnswer: 89088*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from otot. Give prob of sequence to.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -145*k - 130*k + 3828 = -101*k for k.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -480 - -884. What is the highest common factor of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-23 - (-34 - 7)) + -22\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -4*f - 2*w, f = -3*f + 3*w + 3. Find the common denominator of 53\/18 and (f - 89\/14) + 4.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18939429?\nAnswer: 3, 2104381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 2 + -1 + -1*(0 + -1*sqrt(2736) + -2 + sqrt(2736) + 1) + -1 + 5)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 710*f**5 - 2*f**3*n**3 + 7*f**2*n**3 - n**3 + n**2 + 4*n wrt f.\nAnswer: 42600*f**2 - 12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204) + 3*(sqrt(204) + -2*sqrt(204) + sqrt(204)))\/(sqrt(12)*1*-1).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 525603.\nAnswer: 3, 13, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6145 + 14. Suppose -p = j - 3078, 4*j - 6*j + c = 5*p. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 78 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 3, 10, -30\/13, 1\/5, 39?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 + 24. Which is the second biggest value?  (a) -0.3  (b) 2\/15  (c) 2\/13  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = r + 3*r - 4 - 2*r. Let o(p) = -1 + 1 - 3 - 5*p + 4*p. Let d be o(-7). Let v(a) = 5*a - 9. Calculate d*v(m) - 9*b(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9393?\nAnswer: 3, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1606*y**2\/7 - 3216*y\/7 + 8\/7.\nAnswer: 2*(y - 2)*(803*y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -1066*z**3 + z**2 + z + 2. Let x be y(-1). Suppose 11*s = 582 + x. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.073 + -0.037. Let y = -188 - -187.8. Let g = -2 + 2. Sort h, -1, y, g in decreasing order.\nAnswer: g, h, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -13, -1, 1, 0, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -16 - -31. Suppose 5*y + 5 = z. Sort -5, y, -2.\nAnswer: -5, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -32 + 29 - 65 - 20*o**2 - 95 to f*o**2 + l + r*o and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 113, -61.457, 0.3, 1 in descending order.\nAnswer: 113, 1, 0.3, -61.457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 460 and 552?\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r + 68667 = 2*d - 73565, 3*d = -4*r + 142226. Is r a multiple of 234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 3, o: 6, p: 1, n: 7}. Give prob of sequence po.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.06719 and 6.68?\nAnswer: 0.4488292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 36664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 4 - 2*z + 2)*(11*z**3 + 3*z**3 - 3*z**3).\nAnswer: -22*z**4 + 22*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -29 - 12. Let l = g + 11. Suppose 5*q - 7*q = -l. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that 4*w**4 + 519788*w**3 + 16887522148*w**2 + 84417340068*w - 236388927096 = 0.\nAnswer: -64971, -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = c**3 - 2*c**2 - 5*c - 9. Give l(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) be the third derivative of -b**6\/600 - 13*b**5\/300 + 29*b**4\/120 - b**3\/2 + 2*b**2 + 142*b. Factor y(r).\nAnswer: -(r - 1)**2*(r + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 1 + 5)*(15*z - 14*z - 36*z).\nAnswer: -210*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*z + z + z)*(2 + 2 - 2) to x*z + t and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(117) - (sqrt(117) + -1)) - (3 + -1*sqrt(117)))**2.\nAnswer: 6*sqrt(13) + 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 11*d**3 - 25*d**2 + 32*d - 13. Let v(w) = 7*w**3 - 16*w**2 + 21*w - 9. Let r(o) = 5*n(o) - 8*v(o). What is the second derivative of r(s) wrt s?\nAnswer: -6*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l**4 - 6*l**4 + 5*l**4)*(1 - 4 + 12 - 2*l).\nAnswer: -6*l**5 + 27*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -16*v + 130. Let y be r(8). Suppose 0 = 2*h - 5*c - 19, 0 = -4*h + 2*c + 8 + 6. Let x = -1 + 1. Solve -y*q + h = -x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m + 10. Suppose -s = 4*k - 5 + 15, 2*k + 20 = 2*s. Let g be r(s). Suppose -2*z - 4*h + 42 = 0, h - 39 = -2*z - g*h. Does 9 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.005 in 0.03, 0, 41?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -9096 divided by 2\nAnswer: -4548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*l + 3*p + 42, 15*p = 5*l + 14*p - 24 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 37*t**2 - 335*t + 22. Give o(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4304?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 5*p - 2*o - 60, 3*p = o + 27 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*t + 4*i + 50, 76395*t + 30 = 76399*t + 2*i for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1243 (base 6) in base 12?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/5*(1 + 2\/3). Let v = 12.52 + -0.52. Let u = v + -15. What is the closest to m in -2\/9, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12460 times 0.4?\nAnswer: 4984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 124382784, 124382782, 124382780, 124382778, 124382776, 124382774?\nAnswer: 124382772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4\/13, -6\/5, -0.1, -1\/3 in decreasing order.\nAnswer: -0.1, -4\/13, -1\/3, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -t + 4. Let q be l(-7). Let d = -3 + q. Let n(m) = -37*m - 10. Let h be n(-2). Calculate the highest common divisor of d and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -403 + 9271\/23. Let k(h) = -h**2 + 8*h + 9. Let n be k(9). Let i = 1 - n. Which is the second smallest value?  (a) 3  (b) y  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-147)\/98*(-6)\/4\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = 3*f**3 + 54*f**2 + 226*f + 737. Give q(-11).\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -149, -154, -159?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(12)\/sqrt(216) + sqrt(128) + 2)**2.\nAnswer: -49*sqrt(2)\/3 + 2419\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1.4 - -2. Let m = 4.6 - i. Is 1\/2 > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1343744?\nAnswer: 2, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes before 8:43 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 - 7*s - 2. Give g(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -45 - -65. Suppose 0 = 2*o + j - 58. Does 19 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = -5*a - 15, 0 = -5*a + 2 + 3. 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: Simplify 3 + sqrt(80) + -4.\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = r + 6. Let l be s(-6). Solve 3*o = -3*k - 6, l*k - 15 = 3*k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -628 - -661. Suppose 36*z + 3*k = y*z + 21, 43 = 5*z + k. Suppose 7 + 25 = 4*g. What is the least common multiple of z and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -2*q**2. Let h(p) = -4*p**2 + 3*p + 3. Let s(x) = -5*x**2 + 4*x + 4. Let f(u) = 4*h(u) - 3*s(u). Calculate i(f(c)).\nAnswer: -2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2\/2)\/(1\/4). Suppose -4*g = -j - f, -j - 4*g + 16 = j. Suppose 1 - j*i + 6*i**2 + 1 - 4 = 0. What is i?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 125407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 - 3.4.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 601104739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1357*o - 6457 - 13648 = -9503 + 9753 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -875 = 723*g - 1598 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21110322 - 30323?\nAnswer: -21201311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2 = -4*o - 58*g + 55*g, -4 = -4*o - 2*g for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 110388*o**2 + 3*o**3 - 220786*o**2 + 110398*o**2 - 2*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -399 - 409 + j - 405 + 1213.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13 - 9 = 11*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-5 + (sqrt(2448) - 5*(1 + sqrt(2448)))).\nAnswer: 30 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 8*n**2 - 379*n + 151. Let z be c(47). Suppose p = 3, 0 = 4*m + 2*p - p - 315. Let x = m - 28. What is the highest common divisor of z and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*n**2 - 1 + 1 - 3*n**2 + 0*n**2 + n**2 - 2*n + 2*n - 2*n**2 + (0*n + n - 3*n)*(-2 + 2*n + 2) - 15*n**2 + 23*n + 13*n**2 + 0*n - n**2 - 3*n**2 - 2*n**2.\nAnswer: -14*n**2 + 23*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98420?\nAnswer: 2, 5, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -s - 3*h, -2*h = -0*s + 2*s - 12. Suppose -y = s*y - 8. Let i(t) = t + 0*t**2 - t**2 + 2 - 5*t**y + 7*t**2. What is i(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2018412019 to the power of 1\/3, to the nearest integer?\nAnswer: 1264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -641.8.\nAnswer: -1925.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/2*(-18000)\/(-675)*(-48)\/40?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -64 + 63.961. Let l = 53.6 - 53.56154. Let v = l + f. Round v to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 68\/(-18) + 180\/(-810)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 9 + -12. Let n be -1*(3 + j)\/1. Suppose 2*q + n*o = -2*o + 108, -262 = -5*q - o. What is the highest common divisor of q and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c - 1. Let u(k) = 14*k + 11. Give -5*s(z) - u(z).\nAnswer: -9*z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-6))\/((-5)\/15*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v - 4 - 3 - 5 + 2. Let d be o(8). Is -3 at most d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -150, -1574, 7 in descending order.\nAnswer: 7, -150, -1574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 119942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h + 1. Let o(f) = 2*f**3 - 5*f + 3. Let i = -3 + 8. Let z be 69\/(-15) + (-2)\/i. Give z*d(x) + o(x).\nAnswer: 2*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 20\/6*(-30)\/20. Is -5 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1223 - -90?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 10257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10791.57 + -10793. What is the nearest to 14 in 2, w, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**2 - b - 1. Let k be (-25)\/(-10)*(1 - 3\/(-15)). Let d be ((-2 - 2) + 3)*-5 - k. Calculate f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3370 and 53.\nAnswer: 178610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 37617321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 - -2218631?\nAnswer: 2218635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -120, -276, -494, -774, -1116?\nAnswer: -1520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = -3*y + 17. Let w be p(4). Let z be (-2 + w)\/3*237. Suppose 0*q - z = -3*q. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 + 10. Suppose -1 = 11*j - 243. Let s be (-4)\/j + 37\/22. What is the closest to 1 in x, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -867 + 1088. What is the remainder when p is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/5 + (-567)\/(-15). Let j = 29 - 2. Let t = j + h. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3.682039 centuries?\nAnswer: 368.2039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9672 and 8502.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*k - k - 2*k)*(0 + 0 + 1)*(-2*k + 4*k + 2*k).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) be the third derivative of j**4\/24 + 5*j**3\/6 - 4*j**2. Determine d(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -7*a - 84. Determine u(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19422*t**3 - 138*t**2 - 29830*t - 250?\nAnswer: 116532*t - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 61 - 58. Suppose -29 = -4*m - h*w, -2*m = 2*m + 5*w - 27. What is the second derivative of m*k + 4*k**4 - 23*k + 10*k wrt k?\nAnswer: 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 76. Let b be q(0). Let n be 735\/(-210)*16\/(-14). Is 4 a factor of (b*(-1)\/n)\/(0 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5 + 7 - 5) + -2 - 10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21 - 48) + 19 + -15 + 1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3895, 1, 5, -1, -4, 174 in increasing order.\nAnswer: -3895, -4, -1, 1, 5, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and 7\/225 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 162*f + 10 - 10 - 323*f + 161*f + 2965*f**2.\nAnswer: 2965*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 74, 74, -130, -640, -1558?\n\"Answer: -17*o**3 + 119*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12 - -16. Let f(g) = -g**3 + 3*g**2 + g. Let c be f(3). Suppose -k + c*m - 5 = 0, -k - 10 = -m - 3*m. Calculate the remainder when k is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 128055487 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 302222330 - -13130?\nAnswer: 302241010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-8) + 1 + (-542)\/8. Let m = d - -70. Solve 0 = -m*g + 10 + 2 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 58*w + 216*w**2 + 0*w**3 - 431*w + 2*w**3 + 41*w**2 + 346*w**2 wrt w?\nAnswer: 12*w + 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x**3 + 9*x**2 + 9*x + 13. Let z(j) = -26*j**2 - 95*j - 20*j**2 + 54 + 8*j - 2*j**3 + j**3. Let i be z(-44). Determine w(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -f**3 - 11*f**2 - 10*f + 7. Give p(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 8*z + 18 = 0. Is 29 a factor of 198 + (z - 3*4\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3302438 is divided by 77.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 949 - 952. Let p be -9 + 1 - 7*(-133)\/114. Let t = 2.5 + -2. What is the biggest value in p, q, t, -0.7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {d: 1, w: 11, y: 2}?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 650345*h - 650345*h - 9561*h**2 - 3 + 3.\nAnswer: -9561*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 91*a - 5 + 551 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -2, 1, 5, -177 in decreasing order.\nAnswer: 5, 1, -2, -10, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -1057*j - 687. Let z be i(9). What is z rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*f + f - 2*f)*(-113*f + 1786 - 1786) + 0 + 3*f**2 + 0.\nAnswer: -110*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q\/(q\/(q**(4\/11)\/q*q))*q\/(q**(-1\/13)\/q))**(20\/9) assuming q is positive.\nAnswer: q**(3280\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -2628.7*0.19\nAnswer: -499.453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = 7*k - 12*k - 4*k + 74*m - 60, 0 = 4*m for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than -4\/115775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/4 + (-333)\/(-12). Let q = -30 + k. List the prime factors of 230\/18 - -3 - q\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 30\/(-4)*(-9 + 3). Suppose -42*c + o*c = 93. Let d(k) = -c*k + 12*k + 1 + 0 + 18*k. Give d(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21 (base 12) in base 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 470*q = 462*q - 136 for q.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k + 5. Let u be l(0). Let v = u - 5. What is the derivative of v*b**4 + 2*b**4 - 4*b**4 - 2 + b**4 wrt b?\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 15\/4 in 7, -2\/7, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -10*i**3 + i**2 + i. Let h be t(-1). Is 4\/h + 11944\/40 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -209*y**5 - 846*y**2.\nAnswer: -12540*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -52 + 69. What is the highest common divisor of h and 170?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1001 + -5002\/5. Factor 507\/5 + k*m**2 - 78\/5*m.\nAnswer: 3*(m - 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 794558 and 1099262?\nAnswer: 1058","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 - -7) + 265 + -3. Let r = -254 + o. Calculate the greatest common divisor of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 g, 1 f, and 1 v when four letters picked without replacement from vgprgufvgrrgggf?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - -1 - (1 - (12 + -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, -0.5, 2\/3, -0.03?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2744643ug in tonnes?\nAnswer: 0.0000000000002744643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 555501257 and 4817.\nAnswer: 4817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) be the second derivative of -z**7\/210 + z**6\/45 - z**3\/3 + z**2\/2 + 14*z + 3. Let r(v) be the second derivative of c(v). Factor r(j).\nAnswer: -4*j**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5769871436 minus -122249?\nAnswer: 5769993685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -53552105 (base 6) in base 9?\nAnswer: -2875775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 3, g: 15}. What is prob of picking 3 v?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 134\/(-20)*(-3 + 2) and -75\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilometers are there in 5.713675 millimeters?\nAnswer: 0.000005713675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aaaoaaoaaaoaoaaaaaa. What is prob of picking 2 o?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.6 - -13.\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 (base 10) in base 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3445*m + 7*m**3 - 196*m**5 + 3249*m - 6009*m + 3 wrt m.\nAnswer: -3920*m**3 + 42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -4*(-30)\/4*10\/12. What are the prime factors of -81*(d\/15 + -4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 35793, 71585, 107377, 143169, 178961, 214753?\n\"Answer: 35792*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 153928452 divided by -12827371?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2\/2 + 134385516*r - 3009911151764376.\nAnswer: -3*(r - 44795172)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*t - 166 = -219*t. What is the nearest to t in -2\/9, 7\/24, -0.8?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 38, -2, 1, 3 in ascending order.\nAnswer: -2, 1, 3, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1723, -1729, -1735?\nAnswer: -1741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 122404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 + 2*i**2 + i - 8. Let t be 7 - (12\/(-16))\/(2\/(-8)). Let d be l(t). Let z = 50 + d. What is the highest common factor of 154 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7127*i**3 - 7127*i**3 - 3168*i**5 + (-i - 2 + 2)*(-i**4 + 0*i + 0*i).\nAnswer: -3167*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 120 divide 565417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.551 to one decimal place.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 + 48. Let x be 2 + 1 - 2 - 131. Calculate the smallest common multiple of s and x\/(-14) + (30\/35)\/(-3).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4774132 is divided by 2196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33719301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -530*x = -442*x - 176 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3, -5, 4 in descending order.\nAnswer: 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the third derivative of -h**7\/490 + 3*h**6\/280 + 33*h**5\/140 - 5*h**4\/8 + 794*h**2. Solve i(y) = 0 for y.\nAnswer: -5, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**3 + 30611*g + 91864. Calculate c(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 14 + -9. Solve -5 = 5*i + a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nisinsisasnns. What is prob of picking 2 i?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes before 2:36 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -337 - -315 - (-1 + -2 + -4 + 20)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 836394, 1672795, 2509194, 3345591, 4181986?\nAnswer: 5018379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 145\/312 and -5\/1144.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000230805 to 6 dps.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 621078.\nAnswer: 2, 3, 17, 6089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 2 = p, 2*o - 3*p = 2 + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 69706032, 69706029, 69706026?\n\"Answer: -3*q + 69706035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z + 42177 - 44006 = 37*z for z.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - 0)*(-7 + 6). Which is smaller: s or 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-7) - 18\/105.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = m**2 - 10*m + 26. Let i be f(6). Solve i*p - 5*z = 25, 0 = 3*p - p + 5*z + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -115.091 times -0.11?\nAnswer: 12.66001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -7 - 3377?\nAnswer: -3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7479, -16983, -32823, -54999?\nAnswer: -83511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to 231\/9014?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -4770.4 - -4770. Let q = 1.1 - 0.1. Let y = q + -0.9. What is the smallest value in y, j, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 7*f**2. Let m(x) = -36*x**2 + x. Give -2*m(o) - 11*p(o).\nAnswer: -5*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*q = -5*q - 25, 4 = 4*p + 4*q. Let b be 1*p - (1 + 1). Solve -3*j + 2 = -a, b*j + 2 + 4 = -3*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1159054 rounded to four dps?\nAnswer: 0.1159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = 2*s**2 - 10*s + 34. Calculate the remainder when l(5) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -14, -22, -30, -38, -46, -54?\n\"Answer: -8*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = -11*a - 12. Let g be t(-6). Let o = g - 51. Factor 9\/5 - 3\/5*y**3 + o*y + 3\/5*y**2.\nAnswer: -3*(y - 3)*(y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.0364 + -0.2152. Round p to 2 decimal places.\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, 0.4, -4, 22 in increasing order.\nAnswer: -4, 1\/7, 0.4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4365 and 4695?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 13) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1.2  (b) -1.3  (c) -2\/5  (d) 0.04  (e) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.818857 less than 0.1?\nAnswer: 3.918857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 3\/5  (b) -2  (c) 2\/3  (d) -3\/5  (e) -0.8  (f) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 254642158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 i, 1 v, and 1 m when four letters picked without replacement from {i: 1, m: 1, d: 5, s: 2, z: 5, v: 1}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 31088556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) be the third derivative of b**6\/120 + 19*b**5\/60 - 43*b**4\/24 - 7*b**3\/3 - 111*b**2. Let c be l(-21). What is the highest common divisor of 707 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (12\/9)\/((-8)\/(-18)). Suppose s*r - 4*u = -0*r - 243, -3*r = -5*u + 243. Let g = r - -93. Solve 0*f - 2*a - g = 3*f, 0 = -5*f - 5*a - 20 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -218aa - -aa4?\nAnswer: -20c06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*i + 72 = -2*r, r = 18*i + 31494 - 31350 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 27*s - 161. Determine z(14).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1721563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.02 * 562\nAnswer: -11.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 34 - 45)*(-1 + 1 + 1)*(2*n - n - 3*n) + (2 - 2 - n)*(4 + 1 - 4) + 3 - n - 3 as k*n + v and give k.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -7*n + 227. Let r be -2 + 53 + -19 + (0 - -1). Let m be w(r). Let t be (-2)\/(-18) + (-4)\/(-18). What is the nearest to t in 3\/7, 1, m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 16.90224 * 31.\nAnswer: 523.96944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 15767 from -3724.\nAnswer: -19491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 - (-11 - (3 - 7))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-72)\/(-84)*14\/30)\/(4\/(-2))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-5)\/20 - 19\/4. Let c = -1 - z. Suppose -f = f - c. Solve -f*t = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 equal to 3646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1005997493?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**3 + 3*p**2 - 3*p + 2. Let l be r(2). Let s(o) = o**2 + 5. Let b be s(l). Find the second derivative of 0 - b*q + 4 - 4 + q**4 wrt q.\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*p - 10*p = 183. Suppose 48 = 3*a - 4*v, 5*a + 2*v = p + 45. Is ((-245)\/a)\/(-7)*2228 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggwi when four letters picked without replacement from {i: 1, w: 3, g: 7, x: 5}.\nAnswer: 3\/1040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 smaller than 6\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-130)\/(-1092) + 18\/27 + (-1)\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, b: 2, q: 4}. What is prob of picking 3 q and 1 k?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 174996 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/4)\/(61\/854)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1196, -1198, -1200, -1202, -1204, -1206?\nAnswer: -1208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8497655.\nAnswer: 5, 19, 89449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2 - (-19)\/(-3)) + 4. Which is the smallest value?  (a) 9  (b) q  (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of u**8\/20160 + u**7\/1260 + u**6\/180 - u**5\/15 + 2*u**2. Let j(c) be the third derivative of n(c). Solve j(v) = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -28202 bigger than -28201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000307618 to seven dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 22229918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(sqrt(100)\/sqrt(4)*4 - sqrt(25))\/((sqrt(45)*2)\/sqrt(9)))**2*-4.\nAnswer: -1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 764467 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 2.5*-9662.99\nAnswer: -24157.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 20500345 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 72 and ((-12320)\/60)\/(-22) - 1\/3.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21120\/12672*(-42)\/2.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 3 + -3.01. Let q = 2.17308 + -2.27308. What is the third smallest value in q, n, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 2*h**3 + 9*h**2 - 2*h - 27. Let l be g(-4). Sort 5, 137, -6, l.\nAnswer: -6, l, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/10 and 25\/172.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes after 7:52 PM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10\/5)\/4*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 401829119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -50 + 98. What is the common denominator of -58\/3 and (39\/8)\/((-20)\/j)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 356 = -8*n - 44. Let k = n + 53. Find the common denominator of 19\/9 and k\/((-90)\/(-271)) - (-4)\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (559\/6149)\/(2\/8).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*k - 439 = u, -u - 4 - 6 = 49*k - 50*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 16*c - 187. Let q be k(12). Solve q*y - 12 = 8*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.219256 rounded to 2 dps?\nAnswer: -3.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.25 - 32.75. Let p = -31 - r. Sort p, -0.3, 0.3 in increasing order.\nAnswer: -0.3, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of 0 - 1\/150*g**6 + 3*g**2 + 0*g**4 + 1\/150*g**5 + 1\/525*g**7 + 0*g + 0*g**3. Find n such that m(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(4 + (-2 + sqrt(176))**2).\nAnswer: -920 + 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 4  (b) 10  (c) 1  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 533 - -50. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -14 - -8. Suppose 1 = -2*o + 21. Let j = y + o. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2 + 13*v - 41. Give h(-17).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(324) + sqrt(324) + (sqrt(324) - (-2*sqrt(324)*6 + sqrt(324))) - sqrt(324))\/sqrt(12))\/(-1*sqrt(1296)).\nAnswer: -13*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in nine sixteenths of a week?\nAnswer: 5670","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the third derivative of -h**6\/120 - 3*h**5\/10 + 17*h**4\/24 - 10*h**3\/3 - 17*h**2. Let r be 19\/(-1)*2\/2. Let s be z(r). Solve 7 + s = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1074.2 greater than -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 - (-32 - -13) - 5?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-2520)\/(-156)*104\/64)\/(1\/4)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**(-2\/19)\/v*v)*v*v*(v**(1\/6)\/v)\/v)**(-49)\/(((v**(2\/5)\/v)\/v)**(2\/129)*(v**1*v)\/(v*((v\/(v\/v**(-1)))\/v*v)\/v*v)) assuming v is positive.\nAnswer: v**(-124999\/8170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -2*m + 0*m + 0*m. Let j(o) = 6*o**2 - o**2 - 4*o**2 - 4*o**2. What is a(j(w))?\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*a + 4*a - 1100*a**2 - 8464*a**2 - 3127*a**2 to the form w + s*a + x*a**2 and give x.\nAnswer: -12691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 15972000 rounded to the nearest 100000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (6*m - 4*m - 3*m)*(-m + 0*m - 3*m) as x*m**2 + j + l*m and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 47291476 a multiple of 1738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, a: 1, h: 1, z: 1, d: 1}. Give prob of picking 1 r and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/4  (b) 6.2  (c) 11776\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = m**2 + 4*m + 1. Let l be x(-4). Suppose 3 = u - l. Suppose -10*k = -u*k - 228. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 157458?\nAnswer: 2, 3, 7, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5787 and 1503334.\nAnswer: 13530006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -5 + 1. Let f(x) = -x**2 + 6*x - 3. Let o be f(g). Suppose -o*p + 3*p = -20. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 190, 735, 1642, 2911, 4542?\n\"Answer: 181*p**2 + 2*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-334)\/(-14195))\/(41\/(-820)).\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.0465 + 234.0465. Let d = -233.65 + f. What is d rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4 - 1. Let h(y) = 9*y**2 - 2*y - 3. Let v be h(a). Suppose 2*x - d = 19, 29 = 2*x + 5*d - 4*d. Calculate the greatest common factor of x and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 695.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 120 a factor of 6960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 20*s**3 - 5*s**2*t**3 + 250*s + t**3 - 10*t**2 + 12105*t wrt s.\nAnswer: 60*s**2 - 10*s*t**3 + 250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*x = 19*x - t + 10, -12 = -2*x - 2*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) be the second derivative of 0*u**2 + 1\/3*u**4 + 0 + 11*u + 0*u**6 + 0*u**5 + 0*u**3 + 13\/56*u**8 + 0*u**7. What is the third derivative of x(q) wrt q?\nAnswer: 1560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 436*t**3 - 606*t - 369668 wrt t?\nAnswer: 1308*t**2 - 606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1545942*w**6 + 3*w**2 - 27996*w wrt w.\nAnswer: -185513040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2\/29, 0.05, -28, -4, -2\/3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -42*v**2\/17 + 62464*v - 50566\/17 = 0. Calculate v.\nAnswer: 1\/21, 25283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11.67 + -0.15.\nAnswer: -11.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18063.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19052 is divided by 4628.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 102 (base 3) to base 15\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5570654 divided by -2?\nAnswer: 2785327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 22  (b) 3  (c) -44  (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 5, u: 9}. Give prob of picking 2 u and 2 m.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -284, -557, -828, -1097, -1364?\nAnswer: -1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the third derivative of 0 + 3*d**2 + 11\/24*d**4 + 7\/3*d**3 + 0*d. Let l(y) = 4*y + 5. Calculate 8*l(b) - 3*t(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 40*y**3 - 5 - 39*y**3 + 14*y + 14*y**2 + 17. Let b be t(-13). Let i be (-2)\/(-4) + 234\/(-324). What is the nearest to -21 in -1\/9, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1577\/5 + -34339\/110. Let q be 1*48154\/12 - -1. Let p = q - 4005. Find the common denominator of c and p.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -16, -4, 16, -1, 5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7935.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.2599681 - 0.26. What is f rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 4 - 1 = s, 2*z = -5*s - 19. Suppose 2*d + u + 10 = 0, -2*u = d - 3*u + 8. Let o = z - d. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18507\/16198 - -5\/16198. Solve 8\/7*u + 2\/7*u**4 - 4\/7*u**3 + i - 6\/7*u**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 640626 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/30 - 12\/(-90))*12. Suppose 0 = -3*r - f*h + 1, -2*h + 18 = -2*r - 0*h. Let c be 2\/9 + 7\/(-72). What is the closest to -2\/7 in r, c, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.09553 - 0.12447. Which is the nearest to s?  (a) -1\/5  (b) -5  (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.12?  (a) -2  (b) 1229  (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -9837.84747 and -190.\nAnswer: -10027.84747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 7:01 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 9*k**3\/5 + 1003*k**2 + 296584*k\/5 + 13132 = 0?\nAnswer: -490, -67, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -8.4, 4, 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = -4*c**2 - 169*c - 12. Let h be z(-42). Suppose 4*a - h = 2*q, 0 = -4*a + q - 12 + 41. Solve -4 = 4*t + 4*w, 2*w + a = 5*t - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 + n**4 + 2*n**2)*(-35 + 77 - 41).\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g - 1 + 1)*(-5 + 10795*g**4 - 10785*g**4 - 5).\nAnswer: -10*g**5 + 10*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -95 + 98. Factor -15 + 5*q + 37*q**3 - 42*q**3 + 13*q**2 + 5*q**2 - c*q**2.\nAnswer: -5*(q - 3)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -119019, -238036, -357053, -476070, -595087, -714104?\n\"Answer: -119017*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, 680, -55, 2, -4, 4 in ascending order.\nAnswer: -55, -22, -4, 2, 4, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 36 - 14. Suppose -2*y + 3*y = a. Suppose 4*f = 5*v - 99, f + 4 = -v + y. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h = -h + 72. Let d = -23 + h. Suppose -5*z - 2 = d. Put z, -1, 0 in descending order.\nAnswer: 0, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 482*a**2 + 490*a**2 - 6*a - 977*a**2 - 2*a**2 - a**2 + a**2 - 3*a**2 - 2*a**2 + 4*a**2 + (-2*a + 4*a + 0*a)*(-2*a + a + 0*a).\nAnswer: -10*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 45915, 45935, 45955, 45975, 45995?\nAnswer: 46015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yh when two letters picked without replacement from yyh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -27*w - 9 - 18. Let s be w + 1 + (10 - (2 - 23)). Calculate the highest common divisor of 837 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + 1969?\nAnswer: 1966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 435 divided by -107.\nAnswer: -435\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**2\/3 - 200524*c\/3 + 4872312.\nAnswer: 4*(c - 50058)*(c - 73)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1962 divided by -2.\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = p**2 - 20*p - 17. Let o be s(21). Suppose 3*q + 2*q + 46 = 2*w, -o*w + 120 = 4*q. Calculate the remainder when w is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 27, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*b = -5*r - 10, 0*b + 10 = -5*r + 3*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 0*o - 2*q + 58 = 0, 10 = 2*q. Let z = o + 43. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-110)\/(-3) + (-4 - (-20)\/6). Let k be g\/14 + (18\/(-7) - -3). Suppose -243 = -k*x + 111. List the prime factors of x.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(-3*(sqrt(143)*2 - sqrt(143)) + sqrt(143))\/((sqrt(99)*-3)\/sqrt(9)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 89\/60 and 37\/56.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -4\/9, -1\/5, -0.102, -1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -5810.61 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*l - 4*l + l**4 + (l - l**3 - l)*(0 + 0 - 2*l))*(6 + 0 - 1 + 2 + 2 - 2 + (1 + 0 + 0)*(4 + 0 - 2) - 1 - 1 + 4 + 2 + 1 - 1)*(413 - 30*l - 413).\nAnswer: -1170*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 792 - (43 - 36 - (13 + -2))?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 4, y: 9, k: 3, e: 2}. What is prob of sequence ey?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 2*((0 + sqrt(68))**2 + 4 + 2).\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0*2\/(-78)*-13\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -62196 by 6.\nAnswer: -10366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 1040, 3907, 8686, 15377, 23980?\n\"Answer: 956*h**2 - h + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -45381, -90752, -136125, -181500?\n\"Answer: -f**2 - 45368*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-39)\/(-9) + 1617\/(-396). What is the closest to c in -1, -2\/5, 73?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q - 3*b - 43 = 0, 5*q + 15 = 2*b + 67. Suppose 0 = -a + 2*g - 10, -2*a - 2*g + q = -7*a. Solve a = m - 3*m - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-5\/9)*q)\/q*q**(21\/8)*(q**(-31)\/q)**(-3\/2))**(1\/70) assuming q is positive.\nAnswer: q**(103\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of u**5\/60 + u**4\/6 + 37*u**3\/6 - 29*u**2. Is 37 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176))**2*6 + -1.\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3873 = 530*q + 1427 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 9*b + 15. Let r be v(10). Suppose -r = -3*n + 4*d, -25*n = -21*n - d - 127. Solve 5*l = -n + 11 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -2, 2 in increasing order.\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*a - 12*a + 68 = -8*p, -3*p = 5*a + 85 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.3 - -0.7. Let r = -1 + h. Let g = -3.5 - -4. What is the closest to r in g, -1, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 861 + -426. Calculate the remainder when y is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1687902, 1687900, 1687898?\nAnswer: 1687896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -13, 0, 6\/7, -4\/3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 4 = 2*w. Is (33 - -1) + (-2)\/w a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 22*q + 4. Let d(m) = -m. Let a(w) = c(w) + 12*d(w). Let h = -603 + 600. Let z(o) = 9*o + 3. Give h*a(f) + 4*z(f).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 14923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round 20368 to the nearest one hundred.\nAnswer: 20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = m**3 + 2*m**2 - 3*m + 1. Let s(t) be the third derivative of t**4\/8 + 19*t**3\/2 - 59*t**2. Let h be s(-20). What is o(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - sqrt(15)\/sqrt(3)) + 1 + sqrt(15)\/sqrt(3)*-6 + -5)**2 - (2 + sqrt(320) + 4)*-1.\nAnswer: 56*sqrt(5) + 202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3926*w - 5085 wrt w.\nAnswer: 3926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4 and 504970?\nAnswer: 1009940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 13 less than -0.035?\nAnswer: -13.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10422*z + 10420*z - 5*b = -55, 23 = z + b for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j. Let a = 5 - 3. Suppose 7*z - 10 = a*z. Let w(x) = 3*x**2 - 2*x**2 - 4*x**2 + x**z. Give w(p(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -7*b + 3. Let i = -7 - -32. Let t = 26 - i. Let j(k) = -1. Let m(u) = t*j(u) + z(u). Let d(a) = -8*a + 2. Calculate -5*d(v) + 6*m(v).\nAnswer: -2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 1, t: 1, g: 1, a: 1, v: 1}. What is prob of picking 2 g and 1 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 0 - 1 + m**5)*(-173 + 62 + 24).\nAnswer: -87*m**5 - 174","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvm when four letters picked without replacement from {v: 5, m: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*n**5 + 2*n**4 - 326819*n**2 + 360406*n.\nAnswer: 40*n**3 + 24*n**2 - 653638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, p: 15}. What is prob of sequence pp?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffdfdffddfdf. What is prob of picking 3 d?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = w**3 + 79*w**2 + 53*w - 606. Calculate s(-78).\nAnswer: 1344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1 + 0.17380564.\nAnswer: 0.27380564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 21511*c - 623787. Give j(29).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 16793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -3*56\/378*-3\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6859 divided by -2.\nAnswer: 6859\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1139 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:20 AM and 8:12 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4*3\/12*(-2 - -51). Suppose f*u = 40*u + 90. Calculate the remainder when 58 is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6)\/42 + (-320)\/(-35) - 9. Is o at least -6\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -29468\/3 - -4715153\/480. Find the common denominator of 63\/256 and j.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v, 1 d, and 2 x when four letters picked without replacement from xxvdxdvd?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 + -6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9450 is divided by 137.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1131011103 + 11003?\nAnswer: 1131022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 + -8 + -1 + 10\/3. Let n = 22\/15 + -9\/5. What is the second smallest value in p, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 284 divide 60217372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1057 - 28?\nAnswer: -1086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 3511 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 146943179 + 308176\nAnswer: 147251355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -2081*n**2 - 965*n**2 - 4*n + 7*n - 3*n in the form c + x*n + b*n**2 and give b.\nAnswer: -3046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10100200022002 (base 3) to base 4.\nAnswer: 12303233222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 84581527?\nAnswer: 257, 329111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 1401009128?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 77376030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 28063405.\nAnswer: 5, 139, 149, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 126\/5 + 3\/(-15) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -112 + 15\/7 + (-3654)\/(-4263).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -15 + -40 + 35.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 2*d + 15. Let o(l) = -6*l**2 + 2*l - 5. Let x be (3\/(-2))\/((-2)\/4). Let h(u) = -1 - 2*u + 7*u**2 - x + 10. Determine d*o(t) + 4*h(t).\nAnswer: -2*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -3*y + 102. Calculate the remainder when k(-3) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20522 (base 6) to base 11.\nAnswer: -2103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -838 * 757.\nAnswer: -634366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 0*n + 5*n + 17 = 0, z = 4*n + 14. Suppose -6*l - l = -14. Suppose -9*m = -l - 7. Solve -z = 3*b + m for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 586395 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 0, 3, -3, 2493 in descending order.\nAnswer: 2493, 3, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1.8 + 2. Let v = 1.36 - 0.56. Which is the closest to 2\/3?  (a) -2  (b) v  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18230 is divided by 212.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 1, d: 3, o: 1, r: 4, u: 2, j: 4}. What is prob of sequence rod?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 686?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 870363 and 1131939.\nAnswer: 632753901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 2452.118 milligrams?\nAnswer: 2.452118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 0 = -6. Find the third derivative of -13*p**x + 5*p**3 - 5*p**3 - 513*p**5 + 505*p**5 wrt p.\nAnswer: -480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 3, 15, 45, 105, 207, 363, 585?\n\"Answer: 2*b**3 - 3*b**2 + 7*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(((-1 - -9)\/120)\/(4\/(-12))). Let o(v) = 2*v**3 - 5*v**2 - 5*v + 5. Let s(k) = -2*k**3 + 5*k - k**2 + 7*k**2 - 6 + k. Give f*s(m) - 6*o(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 77 - -59e7?\nAnswer: 5a6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-8)*8\/18. Let i = -100.8 + 101. Which is the second smallest value?  (a) m  (b) -0.07  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1762443496?\nAnswer: 2, 11, 19, 31, 37, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1344676?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4547413819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -21*(2376\/(-252))\/(-33)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4 - (-1)\/(1\/(-5)). Let p(r) = 33*r**2 + 3*r + 2. Does 22 divide p(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - b - 52. Let h = -3324 + 3324. Determine j(h).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25395, -50787, -76177, -101565, -126951, -152335, -177717?\nAnswer: -203097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 257 - 253. Put -5, f, 13 in ascending order.\nAnswer: -5, f, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2*m**2 - 4*m**2 + m**3 + 132*m - 131*m - 2*m**2 as b + a*m**2 + w*m + v*m**3 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.337132 micrometers to centimeters.\nAnswer: 0.0002337132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the third derivative of 5*r**4\/6 + 2*r**2. Let p(u) be the second derivative of 5*u**3\/3 - 2*u - 31. Let h(z) = -6*g(z) + 13*p(z). What is h(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 + 8*z**2 - 7*z. Suppose 3*b - 22 = -4*a, 4*b = 5*a + 7*b - 29. Give p(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -42446270\/27 - -1571668. Let z(g) = -13*g**2 + 12*g - 20. Let j be z(6). Let n = m - j. Which is the second smallest value?  (a) 0.02  (b) 0.4  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5179745816?\nAnswer: 2, 7, 92495461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -310 + 506. Let r = w + -189. Put 0, 20, r, -4 in increasing order.\nAnswer: -4, 0, r, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 8.28619 + -8.29. What is r rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 403029 is divided by 507.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are -1111430 and -1111432 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-14)\/(-588)*-7)\/(130\/117)?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2601*m**6 + m**2 - 7*m + 10 wrt m.\nAnswer: -312120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -2*g**2 - 29*g + 26. Let a be w(-15). Calculate the highest common divisor of 528 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 691507.4 hours to milliseconds.\nAnswer: 2489426640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 + (-3)\/(9\/(-177)). Suppose h = 3*g + 46, h + g - u = -0. List the prime factors of h.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 13, m: 5}. Give prob of sequence nnnn.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-4)\/6 + (-4)\/(-6). Let u = -2 + m. Is u >= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3415 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*r**2\/4 - 1790967*r\/4 + 4477455\/2.\nAnswer: -3*(r - 5)*(r + 596994)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*r**3 - 3*r**3 + r**3 + 2*r**3 + 3*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 283 minutes before 1:17 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(1 + sqrt(1700))**2 - -3*((sqrt(1700) + 1 + sqrt(1700) - sqrt(1700)) + sqrt(1700)).\nAnswer: 120*sqrt(17) + 5106","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the third derivative of -i**6\/120 + 7*i**5\/30 - i**4\/24 - i**3\/2 + 13*i**2. Let d be j(12). Let s = 506 - d. List the prime factors of s.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-157)\/1256*(-25)\/(-1))\/(-5)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 361*r - 343*r - 90. Let i = 4 - 3. Suppose -o - 4*m - 11 = 0, 5*o + 3*m + i + 3 = 0. Calculate the least common multiple of r and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 61 + 17. Suppose -4*c = -5*w + t, 3*w + 10 = 4*w + 2*c. Suppose -3*b = -2*b - w. Is b a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/2 + (-100)\/(-40). What is the second derivative of 6*d**3 + 22*d**l - 2 + 56*d**3 + 55*d wrt d?\nAnswer: 504*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -j. Let a be k(-3). Let f(q) = 6*q - 2. Suppose 2*z + 46 = 3*z. What is the remainder when z is divided by f(a)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1  (b) 0.5  (c) -41  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 707*g**3 + 96537*g**2 - 96537*g**2 + 93*g**3.\nAnswer: 800*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.51587518 rounded to 3 dps?\nAnswer: -0.516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -18*j**2\/5 + 7343589*j\/5 - 45284781\/5.\nAnswer: -3*(j - 407971)*(6*j - 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = -j - 1. Is -25 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**4 - 3*i**3 - 3*i. Let r(a) = -3*a**4 - 5*a**3 - 6*a. Let p(l) = 5*g(l) - 3*r(l). What is the second derivative of p(j) wrt j?\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**4)**41*(d*d\/d**(-1\/5)*d)**(2\/107) assuming d is positive.\nAnswer: d**(87772\/535)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (-2 - -1 - (-22 + 1 + 31))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that -u**5\/10 + 12661*u**4\/10 - 39891087*u**3\/10 - 1166595777*u**2\/10 - 292743072*u + 9130746870 = 0.\nAnswer: -18, 7, 6345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8923461 is divided by 396.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 7*l + 2. Calculate m(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*k = 3*c + 24*k - 24, -c + 12 = -2*k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 v, 1 d, and 1 g when four letters picked without replacement from dtgtovtvvttttvdttt?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-1\/11)\/(d\/(d*d**(-3\/5))))\/((d\/d**(2\/9)*d)\/d*d**1\/d))**(-43))**(1\/52) assuming d is positive.\nAnswer: d**(31261\/25740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t = -22*h + 23*h + 7, -5*h - 15 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 668 = 4*a - 3*q, -3*a + 488 = -4*q. Suppose 8*c + 1344 = 22*c. Let b = a - c. Does 20 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-230)\/2280 - (-202)\/11514.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-7*(-7)\/2156)\/((-1)\/4)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(76))**2*3 + sqrt(19) + (sqrt(95) - -2*sqrt(95))\/sqrt(5).\nAnswer: 4*sqrt(19) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -145, 27, -2, 5 in decreasing order.\nAnswer: 27, 5, -2, -4, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*2*sqrt(200))**2 - sqrt(200).\nAnswer: -10*sqrt(2) + 800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -b**3 + 30 - 27*b**4 - 32 + 3*b**2 - 2*b**3 - b**3 + 2*b + 6*b**4 as t*b + v + s*b**2 + w*b**3 + d*b**4 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = t**3 + 38*t**2 - 70*t + 462. Let q be p(-40). Sort q, -20, 2 in ascending order.\nAnswer: -20, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1266 + 2534 - 1266 + 12*i)*(5 + 2 - 3) in the form c*i + g and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) -0.5  (b) 57  (c) 44  (d) -1  (e) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -0.1  (b) -0.207  (c) 2  (d) -7  (e) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.2+6167070\nAnswer: 6167070.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -41*v. Let s(p) = -116*p. Let i(b) = 17*q(b) - 6*s(b). Let f(g) = -501*g**2. Calculate i(f(h)).\nAnswer: 501*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: ((75\/400)\/((-6)\/8))\/((-2)\/(-56))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z - 266 = -z. Suppose -z*o + 4213 = -8*o. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 4095\/486*(-15)\/50 and -161\/30.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**2 - 13*y + 10. Suppose 0 = -160*b + 151*b - 108. Determine w(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -2*z - 8. Let l be b(-8). Suppose 1 = 3*s - l. Solve 0*p + s = 3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*a**3 - 13540*a**2 - 54208*a - 54224.\nAnswer: 4*(a - 3389)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1284872826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, 4, -4, -4956 in decreasing order.\nAnswer: 5, 4, -4, -4956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 1105*a + 33168. Calculate y(-30).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 4 + 25. Suppose 3*x - z = -5*v, 3*v = -2*x - 1 + 18. Let o = -48\/7 + v. Put 1, o, -1 in increasing order.\nAnswer: -1, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*g - 4*g - 10 = 2*u, 5*g - u - 13 = 0. Let r be g\/9 - 426\/(-27). Solve w + v - r = -3*w, -3*v = -2*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -140 and -565\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b + 10. Let n be d(8). Suppose -2 - 2 = -n*r. Let u = -3 - -2.9. Is r greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18846, -37742, -56648, -75570, -94514, -113486, -132492, -151538?\nAnswer: -170630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnd when three letters picked without replacement from {b: 2, n: 4, z: 4, h: 2, d: 2, x: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 13, -1\/2, 12, -2\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/((-24)\/(-9))*2508\/342?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 9 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 + -10. Let u = i - -4. Let c(j) = 3*j**2 + 9*j + 3. Let l(p) = p**2 + 3*p + 1. Let y(f) = -6*c(f) + 17*l(f). Determine y(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138*c - 330 = -27*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m + 4*m - 8. Suppose 3 = -m*t + 4*l + 27, -4*t - 4*l = 0. Suppose 0 = t*i + 26 - 66. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -26, -42, -64, -92, -126?\n\"Answer: -3*c**2 - 7*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 8 + -10. List the prime factors of (3\/6 + 0)\/(f\/(-144)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 107 + -98. Suppose -13*z + x*z + 2234 = -2*i, 4*i = -2*z + 1142. Does 41 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -n**4 - 2899483*n**3 - 14*n**2 + 98484622 wrt n?\nAnswer: -4*n**3 - 8698449*n**2 - 28*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0.1001*-0.2\nAnswer: -0.02002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/299 in -4, -9, 0.4, 3\/80?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -44 + 68. Let t = r - -21. Let i = t + -45.00000029. What is i rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 22277770*3\nAnswer: 66833310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 i, 1 q, and 1 j when four letters picked without replacement from iijqjjjijqiiqji?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -393*r**3 + 1 - 379*r**3 - 1 + 800*r**3.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwawnwpaoaaua. Give prob of picking 1 n, 1 a, and 1 o.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.205 + 2.078. What is h rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 393250849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 20456 and -52.\nAnswer: -1063712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 25*v - 21*v + 10 = 0, -4*v + 110 = 3*p. Let x(h) = h**3 - 29*h**2 - 32*h + 75. Let f be x(p). Calculate the greatest common factor of 105 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3 + -4. Let y be 59\/10 + 4\/2. Let l = y - 8. What is the closest to r in 1\/5, l, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -5  (b) -8351  (c) 4135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2099625118.\nAnswer: 2, 1049812559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 - 3*n + 4. Let d be c(-4). Suppose -3*w + 13 = 7. Suppose d*g + g = w. Solve v + 6 = -g*p + 5, 3*v = 3*p - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 8\/7  (c) 0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -434 + 645. Let p = -148 + s. Let b = p + -63.00116. What is b rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 2*o - o = 116, 0 = -5*i + o + 510. Let m = i - 60. What is the remainder when m is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from krtrofb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 17 minus -84347015?\nAnswer: 84347032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-57 - 0)*(-123 + -20)*80\/30.\nAnswer: 2, 11, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3679.\nAnswer: 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**3 - d**2 - 2*d - 5. Suppose l - 4*h = -3*h - 2, 0 = -l - 5*h + 10. Let b be y(l). Put 3, 3\/5, -0.4, b in decreasing order.\nAnswer: 3, 3\/5, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -25*y**4 - y**3 + 69518*y**2 - 29*y - 6218372 wrt y?\nAnswer: -300*y**2 - 6*y + 139036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 2163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(102)\/(sqrt(48)\/(1*sqrt(8) + sqrt(8))).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 4*s = -10 + 38, -s = 4*w - 13. Solve 5*l + 18 = -w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-14)\/6 - -3)*18\/(-6). Let w(g) = -7*g**3 - 2*g**2 - g - 4. Is w(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 1\/3  (b) 1\/9  (c) 6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -208, -1, -4, 17 in increasing order.\nAnswer: -208, -4, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/(-6)*(-2 + -1). Factor -6 + 0*b + 4*b**3 - 4*b - 2 + 14*b**2 - 6*b**i.\nAnswer: 4*(b - 1)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 18.1027444 and -142.\nAnswer: -123.8972556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of -b**4\/4 + b**2\/2 - 2*b - 6. Let l = -1 - -3. What is a(l)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1125 - 1125.21. What is the biggest value in l, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 - 1. Let w be b(1). Suppose w = 4*y - 9*y. Suppose 5*g - 4*n - 4 - 45 = y, -2*n = 2. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 4*m - 24, 32*m - 34*m - 10 = -5*d. Let b = 7 - 4. What is the closest to -3\/4 in m, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 135 and 3645?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -2*w**3 - 2*w**2 + 6*w + 2. What is o(3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 0.4, -0.3, -5, -1\/7, 231?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -h**2 - 3*h + 1. Let v be f(-3). Let r = 21436.6 - 21436.61. Which is the nearest to v?  (a) r  (b) -2\/7  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 3011, 4798, 6585, 8372?\nAnswer: 10159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t**3 - 11*t**2 - 14*t + 29. Give f(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2025, -2013, -2001, -1989, -1977, -1965?\n\"Answer: 12*m - 2037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*y - 10 = -2*s + 2*y, s - 2*y + 4 = 0. Suppose s*k = -k + 4*t + 17, t = 2*k - 27. Solve -g = -3*d + g - 16, -d - 3*g = -k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -963205*128.\nAnswer: -123290240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 2*l**2 + 9*l + 3. Let b(k) = -k**3 + 1. Calculate 3*b(n) - t(n).\nAnswer: -2*n**3 + 2*n**2 - 9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13273062 = -7*x - 59*x. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000371 rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*s = 60 - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 711.4407 millennia to months.\nAnswer: 8537288.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 3 + 51 = -4*l, 5*n - l + 38 = 0. Let a be (1*-2)\/(-4)*10. Let m(k) = -k**3 + 5*k**2 + k - 2. Let c be m(a). Sort n, c, -1 in ascending order.\nAnswer: n, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*f**3 + 0*f**3 + 3*f**5 + (4*f**2 - 4*f**2 - f**3)*(-f - f**2 + f) + 3*f**5 + 0*f**3 + 0*f**3 + (2*f**2 + 2*f - 2*f)*(-f**3 + f**2 - f**2).\nAnswer: 5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the second derivative of 0*r**2 + 0 + 1\/3*r**3 + 16*r. Let w(j) = 16*j. Determine w(s(t)).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -119 - -117. Let g = -2\/5 - -7\/30. Sort 0.06, g, s in descending order.\nAnswer: 0.06, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 16 = q. Suppose -s = c + s - 13, -49 = -q*c - 5*s. Suppose -6*h = -c*h + 35. Solve l + 3*n = 9, -l + 2*n = -3*n + h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.2 - 0.1. Let s = 33 - 431\/13. Let p be ((-10)\/8)\/(6\/8). Which is the nearest to o?  (a) -1\/5  (b) s  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-280)\/(-80)*504\/13524?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 2 s, and 1 t when four letters picked without replacement from stsxbyx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -600\/7  (b) 455  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = m - 4. Let z(c) = c - 3. Let u(a) = -3*d(a) + 4*z(a). Let f(s) = 6156*s + 57. Let p(l) = 219*l + 2. Let j(t) = -2*f(t) + 57*p(t). Determine u(j(x)).\nAnswer: 171*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -42*d**2*s**5 + 8*d**2*s + d**2 + s**5 - 19*s**2 + 27*s wrt s.\nAnswer: -840*d**2*s**3 + 20*s**3 - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11 + 8 - 7769*y + 3 - 1 - 2.\nAnswer: -7769*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -123 - 91 - 24*n**2 + 3*n**3 + 160 + 63*n.\nAnswer: 3*(n - 3)**2*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 738840?\nAnswer: 2, 3, 5, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -56 + 68. Suppose 7*n = 2*j + 3*n - b, -3*n = 0. Let g(f) be the third derivative of f**6\/120 - 7*f**5\/60 + f**4\/12 + f**3 + f**2. What is g(j)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -46 + 14. Let p be (-54)\/(-4)*f\/(-3). Let b be (-27)\/(3*1\/(-2)). Calculate the highest common factor of p and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1540756 and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange p**2 - 1 + 2*p**3 - 4*p**3 + 7*p**2 to q*p**2 + a*p + w*p**3 + f and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of h*r**3 + 330*h*r + 2*h - 699357*r**3 + 113*r + 1 wrt r.\nAnswer: 6*h*r - 4196142*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do 2 and 1386\/2059 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21650 and 6928?\nAnswer: 173200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6515984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -2*k - 3. Let p = 0 - 3. Let m be c(p). Suppose -2*z + 0*z = 3*x + m, -x + 5*z = -16. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13051779 divided by 1003983.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find w such that -4*w**5 + 27272*w**4\/5 + 230332*w**3\/5 + 225968*w**2\/5 - 263344*w - 109760 = 0.\nAnswer: -5, -2\/5, 2, 1372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (34\/85)\/(4\/10). Solve 0 = 3*i + m + v, -5*i - 3*m = -m + 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 213966 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1\/61375, 0.1, -2 in descending order.\nAnswer: 2, 0.1, -1\/61375, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tz when two letters picked without replacement from ztttzttttttttttttt?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -7*v**2 - v. What is l(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/6 + 29*y\/6 - 95\/3.\nAnswer: -(y - 19)*(y - 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2\/11 + (-52)\/44. List the prime factors of u\/4 - 1896\/(-32).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -122*s - 83484 = 592*s + 455*s + 377*s for s.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vsvvlsvlvvvsvvzlvul. What is prob of sequence zlsv?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -102 + 99. Is d > 0.14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {x: 2, o: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -14*q + 13*q + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -297*q**3 - 36*q**2 - 31*q - 39. Is y(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1949595 or 1949286?\nAnswer: 1949286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 66481 - 0.1480383.\nAnswer: 66480.8519617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**1\/x**21 assuming x is positive.\nAnswer: x**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/543626 and 14\/3.\nAnswer: 1630878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -h**2 + 6*h - 3. Let a be i(4). Suppose -a*f - 5 = 2*t, 0 = 4*t - 5*t - 4*f - 7. What is the nearest to 2\/7 in 0.4, t, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 305*m**2 + m - 2. Let r be h(1). List the prime factors of 135\/(-10)*r\/(-6).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 428589 is divided by 214164?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -62*u**2 - 106*u**3 + 53*u**3 + 51*u**3 to the form l + c*u**2 + j*u + a*u**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000579975 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 (base 6) in base 12?\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - a = -2451, -146*a + 810 = b - 148*a. What is the lowest common multiple of b and 16?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/181, 1\/10, 1, -0.03.\nAnswer: -0.03, -2\/181, 1\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 6*d**3 - 59*d**2 + 130*d + 3. Calculate u(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = n**2 - 196*n + 9261. What is l(113)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3.4 + 3.97. Let n = 0.52 + r. Let y = n - 0.09. Sort -1\/2, y, 2\/3 in descending order.\nAnswer: y, 2\/3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - (-3 + -1 - (5 - 9) - -3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/7 - 1\/21. Let w = 20.8 - -46.2. Let n = w - 72. What is the third smallest value in n, 2, t, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -16.4. What is the biggest value in b, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 395776 and 6184?\nAnswer: 395776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 - 174\/(-54)) + (-544)\/18. Let f = 47 + p. Let c(d) = -2*d + 35. Let h be c(f). Solve z + 4 + h = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3669 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 3*w**2 + 20*w + 150. Let d(a) = 10 + 7*a + 24 + a**2 + 27 - 11. Let f(c) = -11*d(c) + 4*p(c). What is the first derivative of f(n) wrt n?\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + 0 - (1338 + -1324)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2435 is divided by 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 363\/(-198) - (-1)\/(-6). Put -0.3, -5, r, -0.4 in ascending order.\nAnswer: -5, r, -0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -40\/3 and 67\/12986?\nAnswer: 38958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -9373 and -69050?\nAnswer: 59677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: Let k(l) be the first derivative of -l - 3\/2*l**2 + 21. Let f be (-4 + 0)\/(2*-1). Determine k(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w**3 + 3. Suppose 4*q = -4*o - 0*q + 28, -20 = -5*q. Let f(g) = 2*g**3 + 2. Determine o*f(b) - 2*s(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -50088675 divided by 39.\nAnswer: -1284325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -2*w**3 - 657*w + 659. Determine d(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*g**3*o*r*v**2 + 45*g**3*o*v**3 + 2*g**3*v**3 - 2*g**2*o*r*v - g**2*o*v**2 - 2*g*o*r*v**2 + 2*g*r + r*v**3 wrt v.\nAnswer: 270*g**3*o + 12*g**3 + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 546 + -1036. Let i = -153 - s. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1319625722 to the power of 1\/2, to the nearest integer?\nAnswer: 36327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(98) + -4)**2.\nAnswer: -56*sqrt(2) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20*1*2\/(-78)*78*67\/3484.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is m in 2*m**4\/7 + 59254*m**3\/7 + 438672086*m**2\/7 - 3074082990*m\/7 - 3512695824\/7 = 0?\nAnswer: -14817, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 314*u**2 + 53*u - 6 wrt u.\nAnswer: 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 3 + 3)*(-9*k**2 + 2*k**2 - 7*k**2) + 2*k**2 + 0 + 0 + (0 + 1 + 1)*(-2*k**2 + 4*k**2 - k**2) to the form x + b*k**2 + m*k and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 153 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 309.0573 decades to millennia.\nAnswer: 3.090573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 29  (b) 1  (c) -9  (d) -120  (e) -1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11209 or 555?\nAnswer: 555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -66663.4173 to the nearest 10.\nAnswer: -66660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 8*p - 14. Let v be s(4). Let f(a) = a + 8. Let d be f(-6). Suppose d*z = v - 4. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z + 10*z - 8388. List the prime factors of z.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 6 - 4615*h - 7 + 1885*h. Is w(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-12)\/(-30))\/((-1)\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13313.\nAnswer: 13313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (169\/(-13))\/(-390)*4*-9?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**2 - 10 + z - 5*z**2 - z**3 - 4*z**2. Let r be a(-8). Let i be (-4)\/r - 5921986\/(-63). Round i to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -3*m**2. Suppose -2*f - 20 = 2*b - 7*b, 16 = -2*b - 4*f. Let p(c) be the first derivative of -2 + 0*c - 3\/2*c**b. Calculate p(k(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.08746 + 3.91254. Is o at least as big as 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4*(-6)\/(-144)*-12*253\/(-66)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is (-35)\/(26933\/3864 - 7) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 4 + (sqrt(405)*2 - sqrt(405)) + -3 + 5)**2 + 2.\nAnswer: 90*sqrt(5) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 30, 39, 36, 21, -6, -45?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-1\/2))**(-3)\/(r\/r**6*r**0*r))**(-1\/32) assuming r is positive.\nAnswer: r**(-11\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g - 7*g**2 + 1503 + 6*g**2 - 1502. Let q(z) = 2*z**2 - z - 3. What is -q(x) - y(x)?\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 63\/54 - 4\/2. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**3 + 580546*z - z**3 - 579933*z.\nAnswer: 2*z**3 + 613*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 41 * -279\nAnswer: -11439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 9171 + -5784. List the prime factors of q.\nAnswer: 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2194663166.\nAnswer: 2, 31, 643, 55051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 934278860 a multiple of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -63 and 7?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0022555984 to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 less than -584967272563?\nAnswer: -584967272542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100111111101101110101 + -1001?\nAnswer: 100111111101101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 1, b: 7, l: 7, g: 1, m: 3}. Give prob of picking 1 m, 1 b, and 1 s.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*111.1.\nAnswer: 444.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -95 - -119. Let f(p) = -5*p + 124. Let w be f(m). Solve -w*u + 9 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(176) + sqrt(11) + sqrt(55)\/sqrt(80))**2*-4.\nAnswer: -5107\/4 - 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -196*c - 87*c - 87*c = 94*c - 29696 for c.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(-3))\/(f**5*f))\/(f**(-2\/23)*f**(-5)*f) assuming f is positive.\nAnswer: f**(-90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2 - 6*s + 2. Let v = -105 + 111. Calculate b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -316464 - -1891291. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tytybbtbqy. What is prob of sequence bytb?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70179 + 69409 = -55*s for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 274168506 a multiple of 831?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12.819 + 12.818910325. What is c rounded to six decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 13*h**2 - 10*h + 10. Let k be t(6). Suppose 10*n + k = -242. Let d = n - -175. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t - 2. Let b(c) = 15*c**2 + c**3 - c**2 - 7*c**2 + 9*c**2. Let x be b(-16). Calculate y(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -14.1 and 153231?\nAnswer: 153245.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1406.0322 - -7.214738.\nAnswer: 1413.246938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 219502 is divided by 13677.\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 7) in base 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -1.17 and 2?\nAnswer: 3.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-4)*13\/52)\/1\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 120*y - 1974*y**2 - 80*y - 39*y in the form m*y + p + w*y**2 and give w.\nAnswer: -1974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of 31*t**6\/30 - t**5\/5 + 51*t**4\/2 - 10*t - 3. What is the third derivative of a(c) wrt c?\nAnswer: 744*c - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 476 divide 68365976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -177, -172, -167, -162?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -6371 - -38099\/6. Let k = 26714\/10997 - 1\/1571. Calculate the common denominator of y and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 19.8 + -20. Which is bigger: 1\/95 or u?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(396) + 2 + sqrt(396) + 3 + 1 + sqrt(11))**2.\nAnswer: 156*sqrt(11) + 1895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (4\/(-3))\/((-1)\/12) - 4. Suppose y = 4*y - j. Solve p = -y + 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**3 - 3*v**2 - 3*v - 5. Let x be g(4). Suppose k - 3*o = 11 - 2, 3*k + 5*o - 27 = 0. Let c be (-2)\/((-8)\/k) + -2. Are c and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60979571 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i**3\/6 - 263*i**2 - 138338*i - 72765788\/3 = 0. What is i?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2504585664?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 28050 divided by 10?\nAnswer: 2805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.6 - 0.635. What is a rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 19331 - 985931\/51. Calculate the common denominator of w and 64\/153.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the second derivative of -2*m**3\/3 + m**2 + 3*m. Let y(a) = 8 + 2924*a - 7 - 973*a - 975*a - 2 - 975*a. Give -3*n(s) - 6*y(s).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -134, -116, -76, -2, 118?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 3 q when four letters picked without replacement from ptqqqtpt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-1*2*sqrt(5600))\/(3*sqrt(24)\/sqrt(3)*-3).\nAnswer: 3 + 20*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.042 - 0.882. Round y to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8 + -615?\nAnswer: -60c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -213a (base 14) to base 2\nAnswer: -1011001101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-4)\/(-10)*(0 - -10). Suppose -b = -f - a*f - 5, 0 = b + 5*f - 15. What is the lowest common multiple of 2 and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h**3\/11 - 168*h**2\/11 - 3528*h\/11 = 0. What is h?\nAnswer: -42, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j = 25 + 7. Let a(l) = -5*l - 35. Let o be a(j). Solve 3*f - 2*f = o*v + 16, v = 5*f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 PM and 1:49 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6261.\nAnswer: 3, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n**3 + 7624*n**2 - 3707876*n + 71139920 = 0. What is n?\nAnswer: 20, 943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1b97 + -4?\nAnswer: 1b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*n**3 + 2*n - 4*n**2 + 5 + 0*n**3 + 4*n**2 - n**3 to u*n**2 + x*n + s + k*n**3 and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 32*t**2 + 11*t + 10. List the prime factors of c(-4).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 + 9*s**2 + 3*s - 5. Let c = -6 - 2. Let b be f(c). Suppose 2*p = x - 2*p + 1, x = -5*p + b. List the prime factors of x.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 29\/5 of a gram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -163\/26208 and -71\/1560?\nAnswer: 131040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 49993 = 4*j, -4*z + 40013 = 28*j - 31*j. What is the ten thousands digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 81024728 to the nearest integer?\nAnswer: 9001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -16 divided by -84\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 9*j + 9. Calculate l(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 674 + -155. Let l = m + -516.62. What is l rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the third derivative of -z**4\/24 - z**3\/3 + 8*z**2. Let j(c) be the third derivative of c**3\/6 + c**2. What is -a(g) - 4*j(g)?\nAnswer: g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 110222010100010 (base 3) to base 7\nAnswer: 112401534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 14741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 6*i - 8. Let v(x) be the second derivative of x**3\/6 - 6*x. Let t(a) = p(a) - 3*v(a). Let c be t(6). Solve 0 = 5*s - c, -s = 5*h - 4*s + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 15242 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = 3*v - 25. Let y be n(10). What is the second derivative of -1 + 2*f + 613*f**2 + y*f**3 - 306*f**2 - f - 300*f**2 wrt f?\nAnswer: 30*f + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*p**2 + 277 + 138 - 269 - 4*p**2 to t*p + f*p**2 + l and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the first derivative of q**4\/4 - 4*q**3\/3 + q**2\/2 + 16*q + 17. Let u be j(7). Round u to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*a - 2*a. Solve a*b - 6 = -16 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-3)\/i)\/i*i)\/i**(-11) assuming i is positive.\nAnswer: i**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 9922.429m in centimeters?\nAnswer: 992242.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + 30332101?\nAnswer: 30332030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t - 5 - 2 + 3. Let z be y(-5). Suppose -7 - z = -2*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = -v - 11. What is the remainder when 10 is divided by d(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 38045274 to the nearest integer?\nAnswer: 6168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) be the third derivative of -h**5\/60 - h**4\/3 - h**3\/3 - h**2. Let c be k(-7). Suppose 3*u + p - 19 = 0, 5*u + p = u + 27. Solve -u = -c*d + d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4 + 4 - b)*(-4*b**2 + 0*b**2 - 4*b**2) + 10*b**3 + 44 + 43 - 87 to h*b**3 + k*b**2 + v + s*b and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:25 AM and 1:42 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9 + -9. Suppose 2*p = 5*z - 17, u = 2*z + z - 5*p - 14. Find the third derivative of -3*s**2 - 5*s**2 + 0*s**z + 6*s**2 + 3*s**3 wrt s.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -58309*l + 0 - 21 - 35 - 6595*l. Let j be z(11). What is j rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 30*r - 45*r - 96*r as u*r + l and give u.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1221 a factor of 924839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 162420, 324844, 487268, 649692, 812116?\n\"Answer: 162424*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 4, p: 14}. Give prob of picking 1 t and 2 p.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -207*d + 2912. Give z(12).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 29941993 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -26, -91, -194, -329, -490, -671?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -36a2 (base 12) to base 14\nAnswer: -236a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.2 + -0.8. Let t be (9\/15 + -1)\/(1\/2). What is the smallest value in w, 3\/19, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + (-4)\/9 + -3 + (-400)\/(-90). Let 0 - 6\/19*d + 2\/19*d**m = 0. Calculate d.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = 12*m + 13. Let v(w) = 13*w + 10 + 10*w - 25*w. Let c be v(6). Let r be ((-26)\/(-78))\/(c\/12). Let u(q) = q + 1. Calculate r*j(a) + 22*u(a).\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**2 + 10*d - 10. Let s(u) = u**2 + 2. Let h be s(-2). Let f be b(h). Calculate the greatest common divisor of 49 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45076236 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -209724, -209724, -209726, -209730, -209736?\n\"Answer: -c**2 + 3*c - 209726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -25*r**2 - 176*r - 43. Give i(-7).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4.4 + 4.6. Sort u, -0.2, 2.\nAnswer: -0.2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (1 - 2)\/(2\/(-4)). Solve -3*g = -d*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 4*q - 4 = 0, 2*l + 0*q = 3*q + 2. What is the remainder when 12 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 5156*b**2 + 33*b + 3. Is c(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71*o - 3*t = 68*o - 3, -5*o = t + 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0*o**2 + 4*o**2 - o**2)*(-2 + 3 - 2) - 2*o**2 + 3*o**2 - 2*o**2)*(-3710*o + 1514*o + 171*o) to d*o**3 + f + w*o**2 + i*o and give d.\nAnswer: 8100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 24.959 from -0.18.\nAnswer: -25.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one quarters of a decade in months?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-9130)\/(-66))\/(-1*(-5)\/(-2670)). What is g rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 4*h = 33, -18*v + 2*h + 10 = -14*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100010111011 - 1?\nAnswer: -10100010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1643530 bigger than -1643519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = 2, -2*s + 15 = 5*i - 7*s. Suppose 3 = p - i. Suppose -2*w + p + 3 = 0. Solve -w*f = 5*n + 1 + 3, -3 = -3*n + 3*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07789 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*l = -3*l + 8 - 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 2\/11  (b) -1\/4  (c) 0.06  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 - 8 = 5*m. Let g(n) = -5*n**3 - 16*n**2 - 2*n + 9. Is g(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -10.297114 - -10.7111733. Let s = n + -0.414. What is s rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-300 - -301) + (-7 - -14) + (-1 - -4)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 580906.\nAnswer: 2, 19, 15287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12007?\nAnswer: 12007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.3 and 0.2142498?\nAnswer: -0.06427494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -190\/189 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -251633 - 1089*l**2 + 348*l**2 + 81*l + 251633 - 915*l**2 wrt l.\nAnswer: -3312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-q**2 - q + q)*(-7*q**2 + 6*q**2 + 6*q**2 - 2*q**2 + 2*q**2 + 2*q**2 + (0*q + q + q)*(2*q - q + q)) as u*q**2 + n*q**3 + m*q**4 + v + r*q and give m.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 31, -0.2, -4, 4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 384546 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/19  (b) 0  (c) -1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**2 - 4. Let f be y(0). Let g be 60800002\/f + (-8)\/(-16). Round g to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*q + 1. What is the third smallest value in q, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 31316798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3\/1 - (1 - 0). Let b(v) = -v**3 + 17*v**2 + 19*v - 13. Let o be b(18). Factor r**4 - r**3 - o*r**2 + 14*r**n + 2 - 4*r**3 - 7*r + 0*r**3.\nAnswer: (r - 2)*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*sqrt(204) + sqrt(204) + sqrt(204)*1*2)\/((1*sqrt(192) - sqrt(12)) + 2*sqrt(24)\/sqrt(2)).\nAnswer: -3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 6174275 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: Solve 3*o + 67 = -2*o + 8458*d - 8455*d, -o - 3*o + 78 = 7*d for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**3 + 63*a**2 - 66*a + 310. Give q(62).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 47\/369231 and 97\/24.\nAnswer: 2953848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*g + 5*l + 14, -l + 3*l - 1 = g. Let x = -8 + -12. Let p = -20.1 - x. Which is the third smallest value?  (a) p  (b) g  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t**0*t)*t)**(-6\/5)*(((((t*t*t**(2\/15))\/t)\/t)\/t)\/t)\/t**9*t**(-1)\/(t\/t**(3\/4))*((t**(-1\/3)\/t)\/t*t*t)**(-17) assuming t is positive.\nAnswer: t**(-153\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m and 2 p when three letters picked without replacement from pmdymmdoyddmpmdd.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -80944*o**2 + 182 + 41660*o**2 + 42164*o**2 + 4*o wrt o?\nAnswer: 5760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**2 + 13*i + 31. Let d be j(-2). Let k = -272 + 7073\/26. Is d not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p = -3*f + 36, -3*f + 79 = f - 5*p. Suppose -g + f = 5*i - 39, 0 = i - 2. Suppose 4*o - 387 - 325 = 0. What is the remainder when o is divided by g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, -702, -1\/4, -16, 3 in ascending order.\nAnswer: -702, -16, -1\/4, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/p**(-12))\/(p\/(p*p*p**(-5\/4))*p) assuming p is positive.\nAnswer: p**(47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (0 - (9 + -9 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 11022 a factor of 1756421832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -174\/17 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -6*p**3 - 161*p**2 + 123*p + 2566. Determine j(-27).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265*i - 7164 = -6369 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*g - 6. Let a(x) = -x + 6*x - x**3 + 6 + 2*x**3 + 5*x**2. Determine a(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/10 of a litre in millilitres?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*o - 134*o + 7*o**2 + 69*o.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6120.15 + -381156.85. Let t = -387241.9966 - s. Let c = t - 35. Round c to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 6.97 + -7. Let f = -0.07 + a. Do -1\/2 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13038743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 502*3\/18*3. Suppose 5*f - 335 = 2*z, -4*z - z - j = -4*f. Suppose 5*y - f = -5*c + 11, -y + 11 = -4*c. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 259623.354?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12452454 + -29464454. Round o to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1.5 - -1.5. Let x = 4367.9 + -4368. Which is the biggest value?  (a) x  (b) z  (c) -3  (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d + 2*d + 8. Let q(k) = -k**3 - 3*k**2 + 3*k - 3. Let s be q(d). Find the common denominator of 45\/7 and (s + 1*28)*4\/(-6).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + -1037?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 9*u + 1. Let l(x) = -10*x - 1. Determine 5*b(r) + 4*l(r).\nAnswer: 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*a - 9*a - 108. Let d = a + 21. Factor -7*w - 8 - 10*w**2 - w + 12*w + 12*w + 2*w**d.\nAnswer: 2*(w - 2)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.179 and 1.5?\nAnswer: 1.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18102?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 31671.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/264 and -29\/2640?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 229 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 14*x - 2. Let f be u(4). Let z = -811 + 835. Calculate the highest common divisor of f and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1876*l + 12571 = -47461 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2\/231 - 4\/21. Let y = -1060 + 1061. Which is the closest to -1\/3?  (a) o  (b) 6  (c) y  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2 - 2)*(-5)\/(-4). Let d = b + 10. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 354, 338, 312, 276, 230, 174?\n\"Answer: -5*w**2 - w + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -69\/896 and -69\/2176.\nAnswer: 15232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2201504 and 593664?\nAnswer: 52836096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -37\/2 or 2340?\nAnswer: 2340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70 - -60. Which is the fourth smallest value?  (a) 1  (b) g  (c) -0.5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(36)\/(sqrt(8)*-1))\/(sqrt(42)\/(sqrt(567)*2)).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19 - 13. Let q(h) = -h**2 - 3*h. Let a(o) = -2*o**2 - 4*o + 1. Let r(g) = n*q(g) - 4*a(g). Factor r(p).\nAnswer: 2*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.012161 rounded to 4 decimal places?\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -2*f + 12. Let s = f + -1. Let m be 2 - (-7)\/(21\/6). Solve m*q + 36 = -4*v, 19 = -s*q + 3*v - 4*v for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 - -22011431?\nAnswer: 22011424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 3*m = -3 + 2, -5*d - 4*m - 43 = 0. Let q = -1 - d. Suppose 0*y + 3*y = q. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 48 - (-13 + (18 + -21 - -19) - (1 - -1))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add -2266288 and -72.\nAnswer: -2266360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -201 + 152. Let k be 17\/(-7) + 16\/(-28) - v. Is k at least 45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve 2236 = -3*d - 2*f + 2276, -18*d = 5*f - 253 - 15 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -14*b + 15*b - 1401. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (((-49)\/21)\/7)\/((-2)\/42). Sort -24, 3, m, 0.\nAnswer: -24, 0, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4135 - -7512. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30.18 - -217.02. Let l = -25.8 - p. Let a = l + 273.109. Round a to two dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -5883*j**3 + 6*j**2 + 8*j - 1. Is t(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -55 + 74 + -47 + -7 - (6 - -5)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*g - 10544*g**2 + 17*g - 35*g + 10542*g**2 - 11*g + 14*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*k - 2 = -7*k. Suppose 0 = -2*x + k*i - 10, 3*x + 10 = i + i. Suppose x*y - 5*y = -4*g + 12, -5*y - 3*g + 9 = 0. Solve 7*v - 3*v + 4 = y for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1 - 24*s**4 + 2*s + 38*s**4 - 2*s**3 + 0*s**2 - 2*s**2 - 10*s**4 to the form f*s**4 + y + c*s**2 + k*s + o*s**3 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.12, 5, 2\/7, -6\/37, -1, 31?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -121*b**3 + 18*b**2 wrt b.\nAnswer: -726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = w + 3. Let o(u) = 7*u + 1. Let n(a) = 5*l(a) - o(a). Let m(v) = -3*v. Give m(n(f)).\nAnswer: 6*f - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1292256116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -336 + 364. What is the second biggest value in -0.2, b, -4\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + (-6*sqrt(228)*2 + sqrt(228) + 1*(1*sqrt(228) - sqrt(228)))\/(sqrt(36)\/(-2*sqrt(3)) + 3*sqrt(48)\/sqrt(4)) + -1)**2.\nAnswer: -9221\/5 + 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of 0*r - 1\/1260*r**6 + 0*r**3 + 1\/2205*r**7 - 1\/630*r**5 - 18*r**2 + 1\/252*r**4 + 0. Find y such that j(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(26)\/sqrt(2) - sqrt(13)) + -4 - sqrt(78)\/(sqrt(12)\/sqrt(2))) + -4 - (-3*-2*sqrt(832) - sqrt(832))*3.\nAnswer: -121*sqrt(13) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a = 2*u + 2, 98*a + 5*u = 100*a - 14 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4630690 + 12799690. Round v to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/399 - ((-315)\/(-798))\/15*4\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 18 = -3*g + 5, 43 = q + 3*g. 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 o(r) = -r**2 + 18*r + 30. Let p(l) = -4*l**2 + 74*l + 119. Let v(y) = 9*o(y) - 2*p(y). Find j such that v(j) = 0.\nAnswer: -2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y - 5*y + 14 = 0. Suppose -6*v = -y*v + 3. Is (133\/(-2))\/(v\/(-6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 78*l**2 + 23*l - 103. What are the prime factors of y(4)?\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 9?  (a) -12  (b) -225  (c) 4  (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -21\/26 + 4\/13. Let r = -51 + 36. Let x be (1 + 16\/r)*-2. Which is the closest to z?  (a) -2\/3  (b) -2  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -2*f**2 - 83*f - 86*f + 169*f. Let h(b) be the second derivative of -7*b**4\/12 + 6*b. Give t(h(m)).\nAnswer: -98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 849*q - 5 = 851*q - y, 5*q = 2*y - 10. Put -5, q, -58, 2 in ascending order.\nAnswer: -58, -5, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 194513 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(608) + -1*sqrt(608))*-5)\/(sqrt(10)\/(sqrt(25)\/sqrt(45))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -72 + 72 + 7*t**3 - 19*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5 in 0.02198, 2\/5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17 = 6*z + 11 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*i**2 - 8*i**2 + 22*i**2 + 40 in the form u*i + c*i**2 + p and give p.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -13.94 to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*f - 19*f - 15*v + 45 = 0, 4*f - 5*v + 23 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-810)\/18)\/((-6)\/(-9)*13572\/(-928)).\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 337460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.17 - 0.67. Let n = -1541.9 + 1542. Which is the nearest to 0?  (a) m  (b) 0  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3258 is divided by 1496.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (0 + -2)*39\/(-3).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + 26 + -6 + 7 + 2 + -9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 43760 is divided by 662?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.3 - -4.3. Let d = 0.42 - 0.02. Let q(o) = -o**3 + o**2 + o + 2. Let j be q(0). Sort d, x, j in ascending order.\nAnswer: x, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = 2*w**2 - 25*w + 22. Calculate r(11).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 + 2*q + 1. Let c be i(-3). Suppose 4*d + 28 = c*x - 4, -2*x - d + 1 = 0. Does 10 divide 29 - x - (-5 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(3267) + (sqrt(3267) + sqrt(3267)*-2 + -4 - sqrt(3267)) + sqrt(3267) + sqrt(3267) + sqrt(3267) - (-1*sqrt(3267) + 1)))**2.\nAnswer: -24750*sqrt(3) + 735700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 85.62383l in millilitres?\nAnswer: 85623.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -12*g + 13*g - 5*k, 3*k = 3*g - 12. Let s(c) = -8*c**g + 18*c**3 + 2*c**2 - 8*c**2 - 10*c - 9*c**3 + 17. Determine s(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kk when two letters picked without replacement from pkppkkppkkppppkk?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24 and 40188?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 2254597.23 to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2\/(-3) - (-114)\/90. Which is the nearest to 1?  (a) -2\/9  (b) -4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + 2*1*9792\/(-4284)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 233 a factor of 868365794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -57443, -57447, -57453, -57461?\nAnswer: -57471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 1090 divide 13427710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - u = 17, -19*u = 5*h - 14*u - 55. Calculate the remainder when 40 is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 10 and 0.42 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -101 divided by 2940?\nAnswer: -101\/2940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-149)\/7 + (-34)\/(-119). Let u be 1*-2 + (v\/(-7) - -19). Solve 0 = 3*y + y - u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-10)\/4*24\/(-10). Solve 5*r = 7*r + c for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 183 and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 4, 14\/9 in descending order.\nAnswer: 4, 14\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 105 + 29 = 0. Suppose k = 6*l + 32. What is the remainder when 8 is divided by l\/1 - 20\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(12)*-2 - sqrt(12))*-3)\/((sqrt(4) + -3*sqrt(4))*-2 - sqrt(4)) - ((1*sqrt(108))\/sqrt(12))\/(sqrt(3)*-3*-6).\nAnswer: 53*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45517 is divided by 42.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-9))\/((-3)\/54). Suppose -3*g = -0*g - l. Suppose w - 19 = g*d, 0 = -2*d - 7 + 1. Solve 0 = 2*y + w - 3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 2*a**2 - 14*a. Let w be q(7). Suppose 16*j - 3444 - 3212 = w. What is the greatest common factor of j and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that -v**2 + 854772*v - 854771 = 0.\nAnswer: 1, 854771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -4*p**2 + 32*p + 1. Let j be g(8). Let r = 11 + -8. Let k = 285 + -285. Solve -r*s - j - 11 = k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15782*u = 15777*u - 2*s + 64, -2*u - 3*s = -30 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {p: 2, l: 1, r: 1, k: 2, i: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 131 - 126. Put r, -3, 2, -1\/10 in increasing order.\nAnswer: -3, -1\/10, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k*k**(-6)*k*k)\/k)\/k)\/(k\/k**(1\/3)*k)*k**(2\/9)\/k**6 assuming k is positive.\nAnswer: k**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15875a5 (base 12) to base 15.\nAnswer: -5c1568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = -10453*z**2. Let v(q) = -10*q**2. Calculate j(v(t)).\nAnswer: -1045300*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 44 a factor of 15129884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -5*p**4\/9 + 5638*p**3\/9 - 1593856*p**2\/9 + 2539130*p\/9 - 316969\/3 = 0.\nAnswer: 3\/5, 1, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -20*a**6*r - 28*a**6 - 947*a**2*r + a*r + 4*a wrt a?\nAnswer: -2400*a**3*r - 3360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*y + 4*a + 181, 230 = -4*y - 3*a - 9. Let f = -54 - y. Suppose 0 = f*x - 2*h - 242, 3*h - 237 = -4*x - 25. Is x a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c = 16*x - 286, 24*x + 47 = 22*x + c + 53 + 31 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2721 and 990.\nAnswer: 897930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -41.83 - -42.33. What is the biggest value in r, -58, -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + sqrt(252) + 1 + sqrt(252) - (sqrt(7) + -2)*6) + -5*(sqrt(700) + 2 + sqrt(700) - sqrt(700)).\nAnswer: -43*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -24726 + 0.5\nAnswer: -24725.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 221\/((-45305)\/246)*(620\/(-8))\/1?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 807.168308 rounded to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 - (55*(-2)\/(-10) - 13) - (-1240)\/(-88)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*n - 20*n + 23*n**2 - 3*n - 22*n**2 - 9*n.\nAnswer: n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 985*c + 651. Does 77 divide l(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/290 not equal to 10913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-24)\/(-18))\/(4\/(-18)). Let m(p) = -45*p**3 - 30*p**2 + 19*p + 16. Let o(d) = d - 1. Let f(q) = x*o(q) - m(q). Factor f(b).\nAnswer: 5*(b + 1)*(3*b - 2)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -36.9  (b) 4  (c) 7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4725 and 3375.\nAnswer: 23625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 8*t - 1. Let i(p) be the first derivative of -23*p**2\/2 + 3*p - 39. Let l = 2 - -4. Determine l*i(y) + 17*g(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l - 26 = 70. Is 7 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.820215 years in millennia?\nAnswer: 0.006820215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 180 - 170.9. Let w = 10 - q. Let f = w - -0.1. Is f > 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7 - -13. Suppose 0 = 2*x - 2 - 2. Suppose -n - x*n + 21 = 0. Calculate the remainder when j is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 2012 = 2*z - 6*z, 3*z - 1507 = 5*a. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3083853 (base 9) to base 10\nAnswer: 1649694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -72.8 + 75.97. Let u = -0.17 + l. What is the smallest value in 1, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-1\/80))**(-41)*d\/((d*d**(-22)*d*d)\/d)*d**(-33))**(2\/43) assuming d is positive.\nAnswer: d**(-4199\/1720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 l, 1 b, and 1 d when three letters picked without replacement from bdabblbddbdbdaz?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -4908 divided by 3?\nAnswer: -1636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -2*s**2 + 3. Let h be q(3). Suppose 3*f + k + 12 + 74 = 0, 0 = f - 5*k + 34. Let a = h - f. Solve 0 = -5*i - 1 - a for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express j**2 - j**3 - j**2 + j - j - j**3 + (2*j + 4 - 4)*(-2*j**2 + 0*j**2 + 0*j**2) + 7 - 39*j**3 + 24*j**3 - 6 as l + p*j**3 + s*j**2 + d*j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -30*x**3 - 188*x**2 - 2*x + 2. Let o(a) = -1258*a**3 - 7905*a**2 - 85*a + 85. Determine -85*b(u) + 2*o(u).\nAnswer: 34*u**3 + 170*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 271*a**2*y**6 + a**2*y + 2*a**2 - 5*a*y**3 - 161*y**2 - 2 wrt y?\nAnswer: 32520*a**2*y**3 - 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 41072863873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = 2*c + 1. Let x(w) = 2 + 7 - 12 - 6*w + 2*w. Determine -5*l(v) - 2*x(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*b = 3091543 - 1005847. Is b a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 133, -336, -1033, -2072, -3567, -5632, -8381, -11928?\nAnswer: -16387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27870?\nAnswer: 2, 3, 5, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*t**2*u**5 + 163232*t**2*u**2 - 80*t**2*u + 375*t**2 - 73*u wrt u?\nAnswer: 180*t**2*u**3 + 326464*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find s such that -4*s**3 - 480748*s**2 - 14444674592*s + 14445155344 = 0.\nAnswer: -60094, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 10.5 - -48.5. Let o = -58 + y. Which is the third smallest value?  (a) -2\/3  (b) o  (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j - 22 = -7 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -180 divided by -6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = 19 - 103. Let g be (-1 + -2)*7\/d. Let w be (-8)\/(-4) + (0 - g). Solve -5 + w = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69942226 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(-2) - 1305\/270) + (2 - (-232)\/(-60))?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, 8, 1, -8 in increasing order.\nAnswer: -23, -8, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -74 + 199. Which is smaller: 126 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1  (b) -1\/3  (c) -18.6  (d) 6\/11  (e) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -5 + 5*l + 5 + (l - 5*l + 2*l)*(2 - 3 - 1) + 4*l - 3*l - 4*l - l + 0*l - l - 3*l + 2*l + 7*l in the form x + m*l and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + 33120210244?\nAnswer: 33120210243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 4*f**2 - 177*f - 85. What is the tens digit of z(50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (8\/(-10))\/(2\/(-15)). Which is smaller: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.033251992 rounded to 3 decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 270, 563, 924, 1347, 1826, 2355, 2928, 3539?\nAnswer: 4182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve o = 368 - 365 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 313*x - 31 = 140*x + 142*x. Let a(j) = j**2 - 3*j + 3. Let o be a(3). Solve 7 = -o*d + x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(448) + 1)**2 - sqrt(196)\/sqrt(7)).\nAnswer: -2245 - 70*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 26. Let q = -2 + 14. What is the highest common divisor of s and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-672)\/(-560))\/(97\/(-100) - -1). Let a be 4\/(j\/7 - 4\/(-14)). Let 10\/3*q**2 + 8\/3*q**4 + 16\/3*q**3 + a*q + 0 = 0. What is q?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*g**3 + 18627*g - 18624*g + 2*g**3.\nAnswer: 2*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4090 and 237348835.\nAnswer: 2045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -153 (base 8) to base 6\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = 18*a - 270. Let m be v(15). Solve m = 3*z - 0 - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 60 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 31  (b) -0.5  (c) -17\/3  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - 12 = -v + 4*g, -2*v + 5*g + 33 = 0. Suppose -3*p + 5*m = -503, 5*m - v - 6 = 0. Suppose 2*h + p = -h. What is h rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6\/(-4) - (-15)\/(-30). Let j be (2\/4)\/(z\/48). Let h = 16 + j. Solve u + 3*g - h = -0*g, 2*u - 3*g + 19 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.19 - 0.19. What is the second biggest value in 1\/5, m, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -201, -203, -205, -207, -209?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-163*k**2 + 106*k**2 + 164*k**2)*((3 + 7 + 5)*(3*k + 0*k - 4*k) - 2*k - 5*k + 5*k + (4 - 4 + 2*k)*(1 + 2 - 1) + 3 - 3 - k).\nAnswer: -1498*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 - (12 + -25) - 34\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*j - 2*c - c, 5 = -c. Suppose 0 = -3*w + g - 0 + 10, -3*g - 14 = -w. Let k(b) = b**2 + j*b**2 + 2 - w. Let l(s) = -s. What is k(l(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7753467658.\nAnswer: 2, 25601, 151429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 13\/8 - 41\/40. Let s(p) be the first derivative of k*p**5 - 4 + 6*p**2 + 0*p + 0*p**3 - 9\/4*p**4. Factor s(u).\nAnswer: 3*u*(u - 2)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.189 and -0.44.\nAnswer: -0.251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 923 is divided by 93.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.7 - 1. Let h = -489.78202 - -490.08202001. Let o = n + h. Round o to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 554 + 937 = 0. Let q = -999 - v. Suppose 3*j = 3*u - q, 3*j = 4*u + 328 - 988. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17212 is divided by 366.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 2, p: 2, g: 5}. What is prob of picking 1 g and 2 p?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:04 PM and 9:59 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/9 - 4480\/(-252)) + -5. Suppose -p*r = -0*r - 26. Solve 2*g + 1 = 3*w + 16, r*g = -3*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -4  (b) 68  (c) 1\/3  (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(-6*(1 + sqrt(112)) - sqrt(112)) + ((sqrt(112) - (-1 + sqrt(112)))*-2 - sqrt(112)) + -3)**2.\nAnswer: 6728*sqrt(7) + 95033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 756450?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 o and 1 t when three letters picked without replacement from {o: 1, t: 7}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 14*7\/14*2\/7. Find the second derivative of 211*g**h + 14 - 2 + 2 - 7 - 6*g wrt g.\nAnswer: 422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15\/(-13) + 1 + (0 - 0)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jzxddldxxlxdxxlx. What is prob of sequence jzd?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/4)\/((-3)\/6). Let n(j) be the first derivative of j**3 + 0 + j**3 + f. Give n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 74 = 16047*i - 16041*i - 28 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 217295 divided by -43459?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w**2 + 54. Let b(c) be the second derivative of c**3\/6 + 1619*c. What is b(l(x))?\nAnswer: 3*x**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tvvt. Give prob of sequence vv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (96\/(-128))\/((-2)\/(-24))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -18*q + 114. Let v be w(6). Let o(h) = h + 1. Let j be o(2). Suppose 0 = 6*i + 4 + 14. Put i, v, j in ascending order.\nAnswer: i, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 658867633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 113 divided by -15\nAnswer: -113\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 48868, 49000, 49220, 49528, 49924?\n\"Answer: 44*y**2 + 48824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2769 - -2159?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37751150 and 2750.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 226721 (base 8) to base 10\nAnswer: 77265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 12242 (base 6) to base 13\nAnswer: aa6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + 25 = 7*g + 2*o, -g - 2*o + 13 = 0. Solve -k + g = -0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 422 is divided by 135.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 2*h - 3. Let w be q(4). Let x be (w\/2)\/(1\/2). Suppose 0 - 1 = u. Sort x, u, -2 in increasing order.\nAnswer: -2, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 5*x - 20. Suppose -72 = -5*d - 2*u, 5*d - 101 + 13 = 2*u. Let g be 108\/d + (10\/8)\/5. What are the prime factors of n(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 19 + -34 - (-3 + -38).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -74*w**3 - 50*w - 18. Let j(g) = -37*g**3 - 24*g - 8. Give 11*j(u) - 5*l(u).\nAnswer: -37*u**3 - 14*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1 - 2) + 688\/240. Let g be (-273)\/210 - 1\/5. Which is the closest to -2\/3?  (a) g  (b) 2  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.57 - 0.03. Let u = b - -0.4. What is the nearest to 0.3 in 1\/3, -5, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 611*l + 3*s = 608*l - 12, -3*s = l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve m + 24 = 4*p, -198*m + 197*m = 4*p - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -159. Let o = 3 + z. Is o a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 5*t**2 - 176*t + 1801. Give h(11).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = h**2 + 6*h + 11. Calculate the least common multiple of 2 and r(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6 or 9295?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 244 is divided by 76?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkkzzkkkkzkk.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7*32\/560)\/(14\/(-5))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*o - 4*o. Let t(l) = -2*l**2 - 2 + o - 75*l - 2*l**3 + 71*l. List the prime factors of t(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f + 8. Let z be o(-6). Suppose z*p = -2*p - m + 107, 4*p - 113 = 5*m. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, a: 5, v: 3, w: 7}. What is prob of picking 1 b and 2 a?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19 in 26, -31\/5, 8, -0.4, -4?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oq when two letters picked without replacement from {o: 5, u: 1, s: 2, q: 5, m: 3, l: 4}.\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4688.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -89955*n + 181018*n - 89470*n.\nAnswer: 1593*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*z**2 + 2*z**2 + z**4)*(5 + 24 + 16)*(73*z - 53*z + 66*z).\nAnswer: 3870*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (21\/6)\/(3\/42*-1). Let v(k) = -2*k**2 - 116*k - 126. Is v(j) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r + 25 = 0, -6*w + r = -22 + 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 68906?\nAnswer: 2, 131, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -17315, -14128, -10939, -7748, -4555?\nAnswer: -1360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*t**2 - 5 + 5)*(3*t + 5 - 5)*(0*t + t - 2*t - 1) - 2*t**4 - t**4 + 4*t**4 + (-t - 2*t + 2*t)*(t**3 + 0*t**3 + t**3) - 2*t**4 + 15*t**3 - 15*t**3.\nAnswer: 3*t**4 + 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wcwu when four letters picked without replacement from {c: 2, u: 2, w: 5}?\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -78324.068623 + 78323.6. Let r = s + 0.158595. Let v = r + 0.31. Round v to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*s**4 - 2*s**4 - 8*s**6 - 6399189*s + 108*s**2 + 6399187*s + 3*s**5 wrt s.\nAnswer: -960*s**3 + 180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-63)\/2)\/(39\/(-52)))\/(-7 - (-725)\/116)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 5*d + 20298 = 0, -2*d = 58 - 64. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 0 + (8 - 3) + -3. Suppose 0 = -5*a - 15, -4*o + 3*a + 19 - z = 0. Find the third derivative of -3*n**2 + 10*n**6 - 26*n**6 + 4*n**o wrt n.\nAnswer: -1920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1778685913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*t**5 + 207*t**4 + 427*t**3 - 1670846*t**2 wrt t?\nAnswer: -120*t**2 + 4968*t + 2562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 544464, 544473, 544482, 544491, 544500, 544509?\n\"Answer: 9*b + 544455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(105)\/(-1*sqrt(45)))\/(-1*(sqrt(300) + sqrt(300) + (-1*sqrt(300) - sqrt(300)) + sqrt(300) + sqrt(300))).\nAnswer: sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.01 - 0.39. Suppose -4 = -3*s + 2*s. Let m be (76\/(-9))\/s - -2. What is the second smallest value in m, w, 2\/9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 157.6 - 157.7. Which is the nearest to 0.1?  (a) 0  (b) -8\/19  (c) -0.3  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-2)*c)\/c)**47\/(c**0)**36 assuming c is positive.\nAnswer: c**(-94)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h = 3*c - 15, -2 = 4*c + 5*h - 22. Let u be 103\/c + (-18)\/30. Let n be -9 + 516\/18 + (-4)\/(-12). Calculate the greatest common factor of u and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-50)\/(-5))\/(0 + 2). Let r = 40 - g. Let i be (-516)\/(-21) + 15\/r. Solve -4*j + 4 = 4*h - 0*j, 3*j = 4*h - i for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*k - 28 = 2*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5 + 13\/3)*-102. Let q = n - 60. Solve q*b = 4*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -4*v - 23. Let h be j(-7). Suppose -h*t + 185 = m - 133, -894 = -3*m - 3*t. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -3 + cd?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 511198515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -1)*-2 - 18\/(-8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 577*-0.5\nAnswer: -288.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 116721617 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -728004400 to the nearest one million.\nAnswer: -728000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 10*b + 23. Calculate r(-13).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12, 4, 2, 6.\nAnswer: 2, 4, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1100201210211 (base 3) to base 11.\nAnswer: -454249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-69)\/21 - 2\/(-7). Let v = -537 - -541. List the prime factors of v - (n - (-4 - -11)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**3 + 2*d**3 - 3*d**3 + (-100*d**2 - 933 + 933)*(-18*d + 1 + 7*d + 4*d).\nAnswer: 698*d**3 - 100*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + (-166)\/(-5))*-1*(-461680)\/(-184672).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = -4*c, 0 = -4*x - 5*c - 435 + 430 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 216271400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = 3*k - 171, 3*s - 52*k + 47*k = 163. What is the remainder when s is divided by 505\/303*(4 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 5, -1 in decreasing order.\nAnswer: 5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 9 = -f. What is the highest common divisor of 21 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1))**(-5)\/(d**(-7)*d**4) assuming d is positive.\nAnswer: d**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o = 3*s - 30, 3*s + 86 = 5*o - s. Let t(y) = y**3 - 5*y**2 - 9*y + 5. Calculate the remainder when t(7) is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/34*(-1003)\/177*-1\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-10))\/(1\/4) + 2. Determine w so that y*w**2 - 2\/5*w + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(3\/4)\/((p*p*p**(-16\/7)*p)\/p) assuming p is positive.\nAnswer: p**(29\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-336)*(-10)\/(-5)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -g**4 + 2636*g**3 - 3*g**2 + 6*g - 1444037 with respect to g.\nAnswer: -4*g**3 + 7908*g**2 - 6*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 116298777 to the nearest integer?\nAnswer: 10784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + m**2 - 2)*(41*m**2 - 118842 + 12*m**2 + 2*m + 118841).\nAnswer: 53*m**4 + 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 8*y - 2*y**2 + 3*y**2 - 6*y as h*y + z + j*y**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56313, 112605, 168877, 225123, 281337?\nAnswer: 337513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 5*u = 12, -3*b - 5*u = 12 - 0. Let z(r) = -50*r**3 - 45*r**2 - 45*r + 45. Let a(o) = o**3 + o**2 + o - 1. Give b*z(w) - 180*a(w).\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 874962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - 10*p**2 + 9*p + 4. Let k be f(9). Solve -2*t + 4*m - 4 = 2*t, -k*t - m = -6 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = 2*k**3 - 5*k**2 - 11*k + 10. Let x be v(4). Calculate the highest common factor of x and 1526.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hpo when three letters picked without replacement from pohozzohhhhzzzzpz?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(50))\/sqrt(10) + sqrt(245) + -5.\nAnswer: -5 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 12*t**2. Let a(p) be the third derivative of 43*p**5\/60 - 7240*p**2. Determine a(k(r)).\nAnswer: 6192*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 24 - 0\/(-1) - 3. Solve -5*b + 20 = -3*p, s = -4*p - b + 2*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2 take away 596?\nAnswer: -595.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x**5 + 117*x**4 + 2064*x**3 - 50592*x**2 - 470016*x - 971520 = 0.\nAnswer: -20, -4, 23, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -19 - c15?\nAnswer: -c2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (m**3 - m**3 + 2*m**3)*(31*m**2 - 27*m**2 - 15*m**2) + (-2*m + m - m)*(2*m - m**4 - 2*m) - 27 + 10*m**5 + 27.\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 302 + 78?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that 75*q**3 - 35\/2*q**4 - 90*q**2 + 0 + 20*q = 0.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 27 = -y - 5*x, 0 = 4*y - x - 15. Suppose 0 = t + 3*t - 3*n - 130, y*n = t - 28. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the third derivative of -8*n**7\/105 - n**5\/15 - 40*n**2. What is the third derivative of z(k) wrt k?\nAnswer: -384*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, v: 1, e: 2}. Give prob of sequence er.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -703034 + 3515172\/5. Factor -l*k**2 + 0*k + 2\/5*k**3 + 2\/5*k**4 + 0 - 2\/5*k**5.\nAnswer: -2*k**2*(k - 1)**2*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.4 - -1.04. Let i = w + -0.04. What is the nearest to 1 in i, 0.3, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(-1)*(-4)\/(-1). Suppose z - 6 = -5*y, -z = -n*z + 3*y + 18. Suppose -4*l = -4*d + 32, -z*d - 5*l - 32 = -9*d. Solve -d*p = 3 - 23 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-68)\/(-6)*21\/(-2). Suppose 4*h = -x - 3*x + 752, -h + 4*x = -173. Let f = g + h. Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 228123 and 7021971.\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -s**2 - 6*s - 1. Let x be y(-4). Suppose -230 = -x*p + 2*p. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7192 - -7993. What is the remainder when r is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 - (2 + 2 + -1)) + (19 - 17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 v and 1 k when four letters picked without replacement from {a: 4, v: 7, k: 2}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -560\/9 + 2\/9*k**3 + 4\/9*k + 26\/9*k**2.\nAnswer: 2*(k - 4)*(k + 7)*(k + 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -3*(2 - (-11)\/(-3)). Let m(i) = -i - 1. Let h(c) = -2*c. Let o(j) = -2*h(j) + 3*m(j). Calculate the remainder when o(b) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 32\/5 of a centimeter?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -5 less than or equal to -189023?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -8, 31, 2\/5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -0.2, -668, -0.8, 5.\nAnswer: -668, -0.8, -0.2, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -845 divided by 169?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 492*q + 1930. What is x(-4)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 185912, 185783, 185568, 185267, 184880, 184407?\nAnswer: 183848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 21943903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 87*l + 22132. Give o(-254).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from tzzqzlqzt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7261 + -7235. Solve -103 + d = -11*c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 534009734.\nAnswer: 2, 199, 1341733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 245 and 210.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 33, 25, 3, -39, -107, -207, -345, -527?\n\"Answer: -v**3 - v**2 + 2*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 964451, 1928902, 2893353, 3857804, 4822255?\nAnswer: 5786706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:18 PM and 9:14 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 401323 + -1?\nAnswer: 401322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.3 - 1.1. Let x be (18\/2)\/3 - 8. Let u = -13 - -13.1. Which is the nearest to w?  (a) u  (b) -0.1  (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 109, 111, 113, 115, 117?\n\"Answer: 2*j + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*s + 6*b - 200, 207*s + 2*b - 738 = 221*s for s.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 400\/(-15)*(-34 + -11290841). Round l to the nearest 1000000.\nAnswer: 301000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 - 13*v - 49. Give s(18).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -13862 + 13851. Let l be -4 - (36\/(-5))\/2. Sort d, l, 5\/2 in increasing order.\nAnswer: d, l, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 386103237?\nAnswer: 3, 13, 19, 349, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-38)\/171*((-1083)\/38 + -21)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -522 divided by -9?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) be the third derivative of -211*i**7\/210 + 47*i**3\/2 + i**2 + 52*i. Differentiate f(d) wrt d.\nAnswer: -844*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 264 - 154. Suppose -n = d - 33. Calculate the common denominator of -39\/4 and (-32)\/3*(-21)\/d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 79 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 672317 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 7*f**4 - 758*f**3\/3 + 24*f**2 = 0.\nAnswer: 0, 2\/21, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18307 divided by 1917.\nAnswer: -18307\/1917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 3 - d - 1)*(-5*d**2 - 4*d**2 + 3*d**2).\nAnswer: 6*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:17 AM and 3:36 AM?\nAnswer: 79","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -o**2 - 18*o + 34. Let l be d(-19). Suppose 10*u - 98500000 = l*u. What is u rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from tttd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/9, -10, -0.4 in ascending order.\nAnswer: -10, -4\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000377271 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 29*s**2 - 11*s - 3. Let d(z) = 87*z**2 - 31*z - 11. Let f(i) = 3*d(i) - 8*j(i). List the prime factors of f(-6).\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3307714\/205 + -16135. What is the common denominator of w and 16\/15?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 4?  (a) -6\/7  (b) -2\/5  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2\/9 - 275\/18. What is the common denominator of v and (-254)\/115 - (2 + -4)?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + k**2 + k. Let p(d) = -8*d**4 - 3*d**3 + 3*d**2 - 14*d. Let c(j) = -3*m(j) + p(j). What is the second derivative of c(b) wrt b?\nAnswer: -96*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 100 + -92. Calculate the smallest common multiple of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12 + -20221233021?\nAnswer: -20221233033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 16, -14, 5, -4 in descending order.\nAnswer: 16, 5, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h + 5*p - 59, -6*h + 2*p - 18 = -7*h. What is the remainder when 2542 is divided by h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2291343*r**4 + 4*r - 261933.\nAnswer: 27496116*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -5746 and -5737 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 137273308 is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -5*u + 7, u + 3 + 2 = -2*s. Let t be (-7)\/(-1) + s\/2. Suppose 0 = -0*k - t*k - 15. Is k smaller than -12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 2, q: 1, p: 1, r: 1, w: 1, n: 1}. Give prob of picking 1 w and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -d + 33. Let p be k(13). Let m = p + -18. Sort -3, m, -4, 3 in decreasing order.\nAnswer: 3, m, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -5*b - 20 - 22 - b**3 + 52 - 16 + 7*b**2 - 3*b**2. What is o(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v - 1. Suppose -2*z = g - 0*g, -5*g - 3*z - 7 = 0. Let a(u) = 5*u**2 - 2*u + 2. What is g*m(f) - a(f)?\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -433*u = -127*u - 9180 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 4*v = -12, -2*g - 7 = -3*v - 0*v for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express 696*r - 263*r + 504*r as b*r + f and give b.\nAnswer: 937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100466 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11200 is divided by 11168?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0143 plus -743976.9?\nAnswer: -743976.9143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4276152?\nAnswer: 2, 3, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in 0.6, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zyyyyzzzzyycyfyy. What is prob of picking 1 f and 1 z?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -239523*i + 239760 with respect to i.\nAnswer: -239523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 68, 120, 166, 218, 288, 388?\n\"Answer: 2*b**3 - 15*b**2 + 83*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1068500 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4922 and 1070.\nAnswer: 24610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 156539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-60)\/150*((-47)\/2)\/(5\/(-50)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qtjqtmrjtjxxxqq. What is prob of sequence xttt?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-138)\/2 + -3 + 2. Let c be ((-4)\/4)\/(7\/n). Solve c*i - 4 = 9*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 45040542?\nAnswer: 2, 3, 7506757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the second derivative of 8*i**3\/3 - i**2 - i. Let h be n(4). Suppose 0*v + h = 2*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, o: 2, h: 2, k: 1, b: 2}. Give prob of picking 1 k and 1 b.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 2*n + 198 = 0. Suppose 4*l = d - n, -114 = d - 3*d + 2*l. Is d\/(3\/6*3) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*k + 29 + 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1*14)\/(-2) + 2. Let r(j) = -11*j - 2. Is r(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 11*g**2 - 4*g - 4. Let l = 12 - 16. Let m be k(l). Suppose 2*n = -4*x + m, -4*n - 220 = -5*x + n. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8*1\/(-16) - (901\/(-918))\/(25\/(-15))?\nAnswer: -4\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-6) + (-28)\/66. Which is the second biggest value?  (a) -0.4  (b) 2\/9  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10621169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 6 in 288\/11, 2\/9, -2, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 398137 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = 8*z - 5 - 3*z**2 - 1069*z**3 + 1068*z**3 + 2*z + 9*z**2. Suppose -13 = 5*x + 27. Is u(x) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -9*g + 514. Find the second derivative of 106*s**4 - 106*s**4 - g*s**5 - 9 - s wrt s.\nAnswer: -1140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - x = -18. Sort 1, -5, x, -2 in ascending order.\nAnswer: x, -5, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1040*r - 614*r + 1033*r + 1963*r to the form f + a*r and give a.\nAnswer: 3422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 1118515*w**3 - 71718 wrt w.\nAnswer: 3355545*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**2 + b - 1. Let v(s) = 2*s**2 + 18*s + 7. Let t(h) = 5*h**2 + 29*h + 13. Let k(r) = -3*t(r) + 5*v(r). Determine -6*a(d) + k(d).\nAnswer: d**2 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -36?  (a) -5  (b) -95  (c) -3  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 912 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*-4*(1 + -4 + -1 + sqrt(468)*3)**2*-1.\nAnswer: -576*sqrt(13) + 16912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/9 + (-1022)\/(-18). Suppose 2*w = -2*f + 86, -2*f - 5*w = -r - 38. Suppose n = f + 39. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ememeeeyyyemel. What is prob of sequence eyl?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 2:59 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9 + 45 + 84 = -15*i for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 888 divided by 222?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) -0.033  (b) 4  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 0.25.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 9\/2 - (-15)\/(-30). Suppose -k*b + 6*b = 0. Suppose -3*n + 2*x - 8 = -n, b = -2*n - 5*x + 6. Which is smaller: -8\/13 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-24)\/14)\/((18\/7)\/(-6)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 309447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 3560 in descending order.\nAnswer: 3560, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 71.28577 micrograms?\nAnswer: 71285.77","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -5*x**2 - 3*x + 16. Let r(j) = -2*j**2 - j + 5. Calculate 4*h(l) - 11*r(l).\nAnswer: 2*l**2 - l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0457950358 - 25.69.\nAnswer: -25.7357950358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 10.68 - -219.92. Let x = r - 231. What is the second smallest value in x, -0.1, -157?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 2 + sqrt(68) + sqrt(68) - (sqrt(68) - (-4*(sqrt(68) + 1 + sqrt(68)) - sqrt(68)))**2) + 4.\nAnswer: -6813 - 156*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(-9)*12\/(-8)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 9*y + 14. Calculate l(-9).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (640\/(-20) - -20)\/50.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) be the third derivative of 103*v**5\/60 - 5*v**4\/24 - v**3 - 22*v**2. Is 6 a factor of d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8343, -15272, -22201?\nAnswer: -29130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 560 - 540. Calculate the remainder when 156 is divided by t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -g**2 - 2*g + 4. Suppose 4*r - 5*r = 0. Suppose r = 6*a + 118 - 94. Calculate s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -47a (base 14) to base 3\nAnswer: -1020001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 203104 greater than 203103?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + k = 189. Let f = k - -69. What is the highest common factor of 44 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3240 and 28873584.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 68 - 27 = -22*p. Let s(o) = 26*o + 5. Determine s(p).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5 = 0, 0*r + r - 3*j - 77 = 0. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -1179*b**2. Let l(m) = 19*m. Give k(l(h)).\nAnswer: -425619*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nnmnnnmnnnnnmninn. What is prob of picking 1 i, 1 n, and 1 m?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -7405, -29396, -66033, -117316, -183245?\nAnswer: -263820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -51 + 66. Solve 5 = -5*o - y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 198807751 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 129828\/22685*(-20)\/(-16) + (-4)\/26.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -11*x**3 - 8*x + 8. Let l(r) = 32202*r**2 - 32202*r**2 - 3 + 4*r**3 + 3*r. Let a be (6\/(-10))\/(4\/(-20)). Determine a*v(g) + 8*l(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/2*70\/(7\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2304 and 168.\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) be the second derivative of 3*w + 0 + 1\/18*w**4 + 1\/90*w**5 + 2\/27*w**3 + 0*w**2. Factor u(o).\nAnswer: 2*o*(o + 1)*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21499?\nAnswer: 21499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 4*k**2 - 3*k - 1. Let o be (-10)\/35 - (-74)\/14. Determine j(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gg when two letters picked without replacement from wuggr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -35 - -35.95. Let v = i - -0.05. Let u = 1.2 - v. What is the smallest value in 3, 0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 294 divide 309293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v + 2*n + 3702 = 0, -1124 = -2*v - n + 2557. Solve -1852*i = -v*i + 64 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2464 and 67584.\nAnswer: 473088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2671.507 + 2673. Let a = -0.237 - j. Round a to one decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 10*s**3 + 167*s**2 - 94*s - 87. Let i(r) = 13*r - 67. Let a be i(5). Let y(x) = x**2 - 2*x - 1. Let w(k) = a*y(k) + z(k). Factor w(u).\nAnswer: 5*(u - 1)*(u + 17)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1252 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1349, 2695, 4043, 5393, 6745?\nAnswer: 8099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 35313 (base 8) in base 11?\nAnswer: 10343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25515616 less than 25515614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -25542754 and -10.\nAnswer: 255427540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 145 and 111850.\nAnswer: 3243650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -10111001 (base 2) to base 13\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 49 = -4*m + 15, 68 = 4*t + m. Solve -100 = -t*y - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*k = -4*k - 8, 5*i - 41 = -4*k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1210 - 1073. Let a = -51 + 133. Suppose 0 = -5*u + a + 18. Calculate the remainder when g is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5778*c + 3372*c + 3325*c.\nAnswer: 12475*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -6052, 0.1, -0.5, 2\/9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 6912880 a multiple of 230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -86010*r**5 + 5904*r**2 + 11*r.\nAnswer: -5160600*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73*n + n - 447 = -817 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 34?  (a) 0  (b) 0.028  (c) 1\/4  (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.13 + 3.93. Let l = 4 - z. Let v = 7 - 5. Put -1, l, v in decreasing order.\nAnswer: v, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103301450.6 rounded to the nearest one thousand?\nAnswer: 103301000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = q**3 - 3*q**2 + q. Let l be k(2). What is the nearest to 0.3 in 6\/5, l, -1?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-851*g**4 - 970*g**4 + 715*g**4)*((-2 + 0 + 0)*(1 + 1 + 0) + 9 - 14 + 19) to r*g**2 + b*g**4 + x*g**3 + l + n*g and give b.\nAnswer: -11060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of x**4\/6 + 8*x**3\/9 + 5*x**2\/3 + 4*x\/3 + 1. Factor w(s).\nAnswer: 2*(s + 1)**2*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*k**4 + 27380*k**3 + 9766996*k**2 - 3258708*k = 0.\nAnswer: -1839, -443, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-8)\/12 + 62\/(-6). Let n = l + 8. Let o = n + 9. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddkddk. What is prob of sequence dk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1 and 45.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 i when three letters picked without replacement from uiquuuuuiquuiquuuuui?\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 44.01 - 44.0095662. Round i to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7363312.\nAnswer: 2, 11, 17, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 4\/9?  (a) 389  (b) 359  (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h**(-1\/7)))\/h)**21 assuming h is positive.\nAnswer: h**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*c = -21*c + 19515. Suppose 4581 - c = 4*b. List the prime factors of b.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.2, 12, 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18*n - 18*n + 24859*n**2.\nAnswer: 24859*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6766 and 7718?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -21*t - 16. Let c be v(-8). Round c to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uuaaaaaaaaaaaauaaauu. Give prob of sequence uuua.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 4:13 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11*x**3 - 3*x**3 + 19*x + 30*x - 47*x**3 wrt x.\nAnswer: -366*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -19 - -21. Calculate the smallest common multiple of q and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -250, -194, -108, 8, 154, 330, 536?\n\"Answer: 15*n**2 + 11*n - 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -52\/3 - -18. Let f be 2\/(5\/(25\/2)). Let s = -9 + f. Which is the third biggest value?  (a) s  (b) -5  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 45 = 51, 2*w + 22 = -4*y. Sort 130\/3, -3, w in decreasing order.\nAnswer: 130\/3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -3*k - 9. Let i be (k + 3)*(4 + 1). Let t(o) = -8 + 2*o - i - o + 10. Determine t(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2\/(-4))\/((-1)\/4). Suppose 0 = -k*l + 4*j, -l + 6*l - j = 18. Suppose 0*v - 3 = -v + n, -l*n = 3*v - 2. Solve -v = -c - c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(275) - (sqrt(275) + sqrt(275) + -2)*-2) + -1 + 0 + sqrt(275) + ((1 + sqrt(275) + sqrt(275) - sqrt(275)) + 0)*4)**2.\nAnswer: -100*sqrt(11) + 27501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of 0 + 36*y**3 + 89\/30*y**6 - 222*y + 0*y**4 + 0*y**5 + 0*y**2. What is the second derivative of c(q) wrt q?\nAnswer: 1068*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 32\/5 of a second?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -329, -2111, -6935, -16319, -31781, -54839?\n\"Answer: -253*u**3 - 3*u**2 - 2*u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + 0 + 0 + sqrt(19) + (sqrt(684) + -1 - ((sqrt(133)\/sqrt(63) - sqrt(19))**2 - sqrt(19)))).\nAnswer: -380\/9 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1947 is divided by 479?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:59 AM and 9:34 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -7445716 divided by 2\nAnswer: -3722858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 minutes after 8:11 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -447262, -446979, -446696, -446413, -446130, -445847?\n\"Answer: 283*u - 447545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -607595.134?\nAnswer: -607599.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -8*f**2 - 122*f - 1036. Give b(-9).\nAnswer: -586","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 276064, 552119, 828170, 1104217?\n\"Answer: -2*d**2 + 276061*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-2 + 1 - 1)*(3 + 2 - 6) + 6 - 4 - 1 - 1 + 2 + 0)*(-2 + 2718*n - 2769*n + n**3 + 3*n**3) to m*n + b*n**2 + r + y*n**3 and give y.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -48*m + 43*m + 52495 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -205.46 from 121.\nAnswer: 326.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2.40626 and -312126.\nAnswer: -312123.59374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*((0\/4)\/(-3))\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from ygpffggpwryg.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -46*m**3 - 5*m. Let i(g) = -23*g**3 - 3*g. Determine -5*i(d) + 3*o(d).\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 515 by -103.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dxd when three letters picked without replacement from {h: 1, d: 2, a: 1, x: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**1\/o)**(-2\/131)\/((o*o\/(o**(1\/6)\/o))\/o**(-1)))\/((o\/(o*o\/o**3*o))\/(o*o**15\/o))**(2\/121) assuming o is positive.\nAnswer: o**(-2615\/726)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 168149?\nAnswer: 181, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 140 and 154.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11 by -820.\nAnswer: 11\/820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -8*j - 9. What is the remainder when k(-4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 826 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the second derivative of -m**7\/2 + 3*m**4 - 3*m. Find the third derivative of d(p) wrt p.\nAnswer: -1260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 92 and 4554.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-5))\/((2\/56)\/((-2050)\/1640))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -95*l**2 - 98*l**2 + 285*l**2 + 34*l**3 - 92*l**2.\nAnswer: 34*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-186)\/(-124) - 225\/(-60)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = -2*f - 7. Let u(r) = 18*r + 5. Let g(p) = -25*p - 11. Let j(x) = 3*g(x) + 4*u(x). What is 11*i(l) - 6*j(l)?\nAnswer: -4*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (26 + 24 + 418*c - 50)*(-4*c**2 + c**2 + c**2) in the form n*c + y + m*c**2 + i*c**3 and give i.\nAnswer: -836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -6*6\/45*20\/(-12). Which is the second smallest value?  (a) t  (b) 1\/8  (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -41356659, -41356657, -41356655, -41356653?\nAnswer: -41356651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*d - 14*d - 36 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 3474*m - 245. Is y(19) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2706*y + 8 + y**2 - 2707*y + 16*y**3 - 13 + 5410*y as z*y**2 + l + v*y**3 + m*y and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.5 - 1.5. Let q = -2 - l. Let n = q - -5. Put -4, 0.5, n in ascending order.\nAnswer: -4, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 20 = -0*k. Suppose 5*w = -0*w - k*i + 5, -4*w + 2*i = 2. Which is the smallest value?  (a) w  (b) 4\/17  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**3 + 3*k**2 + 2*k + 5. Suppose 9*z - 23 - 31 = 0. Suppose 0 = -4*l + 5*u + z, -2*l - 4*u = -3*u - 10. Give m(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/1*(3 - 3). Let c = -5638 - -5633. Put b, c, 5, 1 in increasing order.\nAnswer: c, b, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the first derivative of 2*x**3 - x**2 - x - 3. Let n be i(-1). What is the first derivative of -n + 13 + 4*t**2 - 2*t**2 - 8*t**2 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of -p**3\/3 - 4*p**2 - 7*p + 3. Let l be h(-6). Solve 2*y - l = -j, 5*y = 2*j - 7*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1953186.\nAnswer: 2, 3, 31, 10501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177738 is divided by 251?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 2, w: 6, d: 3, b: 2, z: 1}. What is prob of picking 2 w?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z = -0*z + 32. Which is the second smallest value?  (a) 5\/3  (b) -7  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -20 in 0.1, 489, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -23*p**2 - 18*p**2 + 63*p**2 - 24*p**2. Let t(o) = o + 2. Give v(t(x)).\nAnswer: -2*x**2 - 8*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -5*w - 2*i, 0 = -3*w - 3*i + 5 + 1. Solve w*o = -o + v + 5, 2*v + 5 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 0*y + 1675 = -4*y, -1086 = -2*i - 5*y. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**2 - 21*k + 37. Let b be q(2). Solve -3*c + b*v = -v - 4, 4*c = v - 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-21)\/14)\/((14\/2)\/238*3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes after 5:04 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 4*i = 40, 20*v = 18*v + 3*i + 20. What is the highest common divisor of 16 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 = 3391\/2142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-689)\/27)\/(4\/6). Let p = -109\/3 - l. Find the common denominator of -1\/14 and p.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -5162, -41292, -139350, -330296, -645090?\nAnswer: -1114692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*u - 10 - 55. Let a = u + 15. Suppose 5*x - 2*b = 56, -2*b = x - a*x + 16. Solve y + 4*y = x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 123648 and 24?\nAnswer: 123648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w + w - 14*w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -y**3 + y**2 - y + 1. Let j(b) = 665*b**3 - 9*b**2 + 9*b + 540. Let z(q) = j(q) + 9*m(q). Find the first derivative of z(c) wrt c.\nAnswer: 1968*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27 + 28. Let q = t + -3. What is the smallest value in -2\/9, q, 3, -4\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 14*p + 16*p + 4 - 33*p. Let f be (-16)\/(-6)*(-6)\/(-4). Let k be f\/((-3)\/(9\/(-3))). What is c(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4*(-1)\/6*6\/4. Let i be q\/((-12)\/2) + (-75)\/(-90). Is i not equal to 161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-28 - 8*w + 28)*(-3 - 1 + 7).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/27544 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 4003 = 4*z, 0*z - 5012 = -5*z + 4*r. Suppose -2*k + o + 0*o + 401 = 0, -5*o - z = -5*k. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s**4\/17 + 14357414*s**3\/17 + 100501832*s**2\/17 + 229718424*s\/17 + 172288800\/17 = 0. Calculate s.\nAnswer: -7178700, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -4.1, 1\/10 in increasing order.\nAnswer: -5, -4.1, 1\/10, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252) - ((sqrt(252) - (0 + sqrt(252))*2)**2 - sqrt(252)) - (sqrt(448) + (-1 + sqrt(448))*6).\nAnswer: -246 - 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*y**3 - 44*y**3 - 53*y**3 - 56*y**3 + 218*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -595*o + 3. Suppose 0 = -0*p + 2*p - 5*a - 6, -p = 4*a + 23. Let z be u(p). Let q = z - 29123\/7. What is the common denominator of q and 20\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -96388775 divided by -3\nAnswer: 96388775\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*r = 4*r + 45 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:00 PM and 8:51 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 7 - 30*(-9)\/(-108). Factor 27\/4 + 3\/4*d**2 - p*d.\nAnswer: 3*(d - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6.1?  (a) 48  (b) -5  (c) 4  (d) 2.4  (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Add 10981 and 5191370776.\nAnswer: 5191381757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1302901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/158841 and 1\/18315.\nAnswer: 8736255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - -98)\/(((-350)\/(-112))\/25). Calculate the highest common factor of 176 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/10  (b) 0.038  (c) 27995\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3. Let d = -1 - 0. Let b be q(d). Let y be ((-9)\/(-78))\/((-9)\/12). Do b and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -2\/2101 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = 64*z**2 - 11*z - 5. Let b be h(4). Suppose -4 = -2*n, -o + n = -n - b. What are the prime factors of o?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -782691 >= -509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 2614 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77) - -5*sqrt(77)) + sqrt(77))*2)\/(1*(sqrt(11) - 4*sqrt(11))).\nAnswer: -14*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -981012*k - 2464 = -981089*k for k.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 28657, 28767, 28955, 29227, 29589, 30047?\nAnswer: 30607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 2*u**2 - u - 1. Let v(a) = 468*a**3 + 6*a**2 - 3*a + 1234. Let o(h) = -3*m(h) + v(h). Differentiate o(w) wrt w.\nAnswer: 1404*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 27*z - 26*z. Solve i = 4*i + z*s + 21, -2*s - 6 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -184185210 divided by -5?\nAnswer: 36837042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 76\/5 of a second in milliseconds?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a = -5*d - 60, 0 = 16*a - 22*a + 12*a + d - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 93783974 and 7585.\nAnswer: 468919870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/18)\/(-1)*12\/(-6)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 3182816 or 3182820?\nAnswer: 3182820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 492 and 19524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*q - 4*a - 65, 40 = 2*q - 4*a - 2. Let g = 132 + -103. Let x = g + -26. Calculate the remainder when q is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) 30\/11  (b) 3  (c) 75\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 15 + -91813111?\nAnswer: -91813096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:39 AM and 2:40 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s**2 + 11*s**2 - 2*s**2.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 greater than or equal to -1571?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/18 + 85\/50?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 133*t - 321. What are the prime factors of o(13)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9625.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*h = -27*h + 34*h + 10*h - 4*r + 26, 0 = 3*r + 12 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*h = 83 + 13 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -27 - -24. Let p = 1892 + -19031\/10. Find the common denominator of ((-1072)\/40)\/(w + -1) and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1521435 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00362156 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-121 + 72 + 71)*(-3*m + m + 0*m - 1 - m + 1 + (-2 + 2*m + 2)*(4 - 4 - 2)).\nAnswer: -154*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 225.2109l to millilitres.\nAnswer: 225210.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -4*v + 5. What is the remainder when f(-7) is divided by ((-370)\/30 + 8)*(6 - 9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 203391444 by -4467.\nAnswer: -45532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 2 - 80\/45 - (-16)\/9. Suppose -2*j + h = -3*k - 21, -26 = -4*j + 2*k. Let s be 448\/(-546) + j\/26. Which is greater: s or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of -j**4\/12 + j**3\/6 - j**2 - 21*j. Give r(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5*-0.54\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 26, -2, -234, 8, 27 in ascending order.\nAnswer: -234, -2, 8, 26, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*t**3 + 7*t**3 - 7*t**3)*(-1 - 3 + 5) - 6*t - 7*t**3 + 6*t.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-22)\/33*30\/4. Let f = -12 - p. Let q be -2 - f\/(14\/8). Solve -28 = -4*i - 5*r + q*r, 0 = -3*i + 3*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67 = -4*t + 71 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 45*q = 42*q + 345. Solve -q*a + 119*a = 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*s + 2*s**3 + 6840400*s**2 + 0*s.\nAnswer: 2*s**3 + 6840400*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2826\/42 + 8\/(-28). Find the first derivative of t*k**3 + 11 - 64*k**3 + 38*k - 28*k wrt k.\nAnswer: 9*k**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.22, 0.06, 12.2, 3?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 118899311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -6361 times -5762\nAnswer: 36652082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -99*a + 144313 = -86*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 bigger than -4293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -0.5, -1, 3\/5, -3\/968 in increasing order.\nAnswer: -1, -0.5, -3\/968, 0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (225\/54 - 5)*24\/(-15). What is the closest to -0.3 in -0.06, 2\/13, i?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4662a (base 12) to base 6\nAnswer: 2004054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 2089073 divided by -50953\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*x + 56 = -76. Solve -2*n = -q - 4, 2*n + 12 = -3*n - x*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of l**4\/12 - 5*l. Let g(u) = 26*u**2. What is v(g(b))?\nAnswer: 676*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - 1)*1 - -3. Let r be 10\/(-3)*(-21)\/2. Suppose -r = 2*z - 59. What is the greatest common divisor of y and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the second derivative of -3*z**5\/20 + z**4\/6 - 4*z. What is the third derivative of g(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229939*o**2 - 32*o**3 - 170*o**3 - o**4 + 225155*o**2 - o**4 + 16224*o = 0. Calculate o.\nAnswer: -52, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) - (0 + 1*sqrt(176))) + 0 - -3*(4*sqrt(11)*-1 + (sqrt(77) + sqrt(77)*-2)\/sqrt(7))**2.\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, b: 1, r: 3, e: 1, m: 4}. What is prob of sequence cb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*u + 6 = -29*u - 4*d, 5*u - 3*d = 62. Solve -1 = u*g - 11 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -27189 by -57.\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pj when two letters picked without replacement from ijjjppfppqjjfippfp?\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve b**5 - 9*b**4 + 29*b**3 - 39*b**2 + 18*b = 0 for b.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 8, 10, 4, -16, -56?\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.01 + -263\nAnswer: -263.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 16\/(-6) + 6\/9. Let t = 3 - -2. What is the remainder when ((-5)\/(-2) - b)*2 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -229.9 minus 205?\nAnswer: -434.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14 + 1c1bdc?\nAnswer: 1c1bc8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 4*s**2 + 31*s - 20. Calculate t(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xho when three letters picked without replacement from {o: 3, x: 2, h: 2, d: 5}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 107615 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2, -67, -12\/11?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2963 divided by 23809.\nAnswer: -2963\/23809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, -4, 40 in decreasing order.\nAnswer: 40, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = u**3 - 17*u**2 + 11*u - 13. Let m(c) = c**3 - 16*c**2 + 11*c - 12. Let y(o) = -5*d(o) + 6*m(o). What is the remainder when 3 is divided by y(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + -3. Let g(v) = -v**3 + 7*v**2 - 7*v + 3. Let d be g(6). Let j be ((-1)\/d)\/(7\/(-42)). Which is bigger: j or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2060*h**3 - 18546*h**3 - 519 + 519.\nAnswer: -20606*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add -89 and 36071.\nAnswer: 35982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2757917 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 6 = 3*v. Let w(a) = -7*a**2 - 8*a + 7. Let b(m) = 9*m**2 + 5*m - 1. Let g(u) = 20*u**2 + 11*u - 2. Let q(s) = 9*b(s) - 4*g(s). Give v*q(h) + w(h).\nAnswer: -h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10756 (base 10) to base 16.\nAnswer: -2a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.406 - -0.067. Let a = c - 0.073. What is the nearest to 4 in 3\/7, a, -3\/4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*x + 3*w - 58, -30*x - 5*w = -27*x - 142 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 5. Let i(p) = -65*p + 28. Let a be i(0). Does 13 divide a + 2 - t\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/(p\/(p\/(p\/p**2*p)*p))*p**(-3\/5))\/(p\/((p*(p*(p\/(p**(-2\/7)*p)*p)\/p*p*p)\/p)\/p)*p)**(2\/23) assuming p is positive.\nAnswer: p**(1147\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 789, 809, 829, 849, 869, 889?\n\"Answer: 20*w + 769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 k when three letters picked without replacement from ttpttmmktpytm?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*b = -21*b + 3108. Let r = b + -432. Solve o - 18 = -4*n, o - 4*n = -o - r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 + (-58 - (-142 + 23))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - -6 - (-155)\/(-31). Suppose -3*b = 3*w - 3816, g = 5*w + b + 557 - 6901. List the prime factors of w.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**4\/c*c\/c**(-1)*(c\/((c\/c**(1\/4)*c*c)\/c))**41)\/(c\/(c*c**(-5\/3))*c\/c**3)**(-6\/13) assuming c is positive.\nAnswer: c**(-1347\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -13*r - 163. Let v be m(-16). Suppose v = 27*n - 9. What is g in 28\/3*g + 20\/3*g**n - 8 = 0?\nAnswer: -2, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 341552 is divided by 3114.\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 0 - 4 + m + 1. Determine x(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 + 2 = 4*i. Let u(b) = -4 + 24 + 45*b**i + 112*b**2 - b + 10*b. Let g be u(20). Round g to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 39747 and 5564580?\nAnswer: 5564580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 740 divided by 37?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -69, 158, 695, 1542, 2699, 4166, 5943?\nAnswer: 8030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((-4 + (sqrt(300) - ((sqrt(300)*2 - sqrt(300)) + sqrt(300))) + -2 + -1*sqrt(300))**2 - ((0 + sqrt(300) + 3)*-3)**2)*-3.\nAnswer: 900*sqrt(3) + 4634","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -3, 38, 119, 252, 449?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z + 5*f - 11 = -21, 5*z - 15 = -2*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*v**2 - 3*v**2 - v**2)*(126 + 17*v**2 - 126) to the form d*v**2 + b*v + y*v**3 + u + t*v**4 and give t.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 48.89979 seconds?\nAnswer: 48899790","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 13 + -8. Suppose 2*a + 3 = -n*p, 6*p - 2*p - 8 = a. Let b be (p - -1)\/((-8)\/(-20)). Solve s + 10 = -b*t - 0*t, 28 = -5*s - 3*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 3. Let f(c) = 4*c + 42. Let w(p) = -3*f(p) + 42*g(p). Let a(b) = -11*b**2 + 33*b**2 - 6*b**2 + 0*b**2 - 18*b**2. What is w(a(y))?\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 18 = -2*m, -2 = -3*m + 3*a - 5. Suppose 3*t - 64 = -t. Suppose -m*b + 132 = -t. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*c**3 - 83*c**3 + 18*c**3 - 47*c**3 + 166*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 91731 divided by -2.\nAnswer: -91731\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 3 a when four letters picked without replacement from {a: 9, g: 2, s: 1, w: 4, b: 1}.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -3.233 and -38745.\nAnswer: 125262.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 91*p + 1144. Determine k(-13).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - (-4 - (33 + (-23 - -5)) - -22)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32) - sqrt(288)) + 1.\nAnswer: -8*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 928 or 924?\nAnswer: 928","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 28130.5058 from -400.\nAnswer: -28530.5058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*f**4\/5 + 112*f**3\/5 - 1758*f**2\/5 + 4888*f\/5 + 1352 = 0.\nAnswer: -1, 5, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 10, -2.134, -1, 7, -7 in decreasing order.\nAnswer: 10, 7, 2\/7, -1, -2.134, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -d + 283, 4*b + 0*b = -3*d + 870. Suppose 8*l + d = 10*l. List the prime factors of l.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -8\/403 - -9349\/4030. Calculate the common denominator of 57\/56 and s.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 72 - 54. Let i be -2*(0 - 10\/12*3). Suppose -5*b - 14 = -2*k, -5*k - 26 + 96 = i*b. What is the lowest common multiple of s and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -9853900 to the nearest one hundred thousand.\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -22, 5, -8, -88, 7, 6, -3 in decreasing order.\nAnswer: 7, 6, 5, -3, -8, -22, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.128833053 rounded to 3 decimal places?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1377 (base 12) to base 15\nAnswer: -a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 3, t: 6, s: 5, e: 1}. Give prob of sequence it.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 66638572?\nAnswer: 2, 7, 11, 13, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n - 2*k - 120 = 0, -348*n - 4*k = -345*n + 242 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.097 + -0.003. Which is the second biggest value?  (a) 1  (b) 0.4  (c) -5  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1000010000000010110 (base 2) to base 16\nAnswer: 42016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = 2*d - 4*r, -d + 0*r = 5*r + 24. Let m(n) = 141*n - 3. Does 15 divide m(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-66)\/(-8)*48\/9 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 + 2)*(-7*d - 22 + 22)*(7 - 2 - 3)*(-3 + 6 + 1).\nAnswer: 56*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-14 + 2)\/(-1*6\/(-4)). Is 1 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -920631001700\/664705831 + 37120363\/26778. Let c = z - 1\/26283. What is the common denominator of c and 105\/(-350)*(44\/6 + -3)?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.1006 + 0.1. Let q = 272.0006 + u. Let y = q - 272.119. What is y rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -25 + 11*c + 20 + 81 - c**2 - 16 = 0?\nAnswer: -4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 9\/42 + (-13224)\/2128. Put z, 14, -5, -2, -1 in descending order.\nAnswer: 14, -1, -2, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/(147\/15)*(39\/91)\/((-10)\/(-70))?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 31102035 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 130626 = -v, 3*b - 391862 = -3*v + 2*b. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes after 4:09 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-232)\/40 + (-2)\/(2 - -8). Let a(s) = 6*s**3 + 5*s - 6. Let k(o) = 6*o**3 + 4*o - 5. Let h(m) = c*k(m) + 5*a(m). What is h(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55443*d - 55443*d - 33166*d**2.\nAnswer: -33166*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -24*v - 159. Calculate the smallest common multiple of u(-10) and 21.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 8 + -18d1?\nAnswer: -18c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/113980 and -95\/12.\nAnswer: 341940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -124.994581 rounded to 1 dp?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 4\/(-14) + 3\/84. Let g = 37\/3 + -188\/15. Suppose 5*d + 4 = 9, -5 = 4*p - 5*d. What is the second biggest value in g, r, p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -126.883 - -129.883. Let c = -0.5 - 1.5. What is the nearest to c in -2\/3, 1\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y**3 - 9*y**2 - 2*y + 10. Let x(o) = 3*o**3 + 8*o**2 + o - 8. Calculate -4*n(r) - 5*x(r).\nAnswer: -3*r**3 - 4*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.5 from -43258192277.\nAnswer: -43258192277.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*l - 2142756 = 35*l - 32*l. What are the prime factors of l?\nAnswer: 3, 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) be the first derivative of -3*p**4\/4 - 10*p**3 + 3*p**2\/2 + 30*p - 1098. Factor s(c).\nAnswer: -3*(c - 1)*(c + 1)*(c + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5, 10, -2348\/5, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 36, -2, -5, 3, -10 in descending order.\nAnswer: 36, 3, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -29 - 23. Let h(c) = -10*c + 14. Let n be h(g). Let v be -1 + n\/(2 + 2). Calculate the greatest common factor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36684, 36557, 36336, 36015, 35588, 35049?\nAnswer: 34392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 44*f**4 + 236*f**3 + 444*f**2 + 356*f + 104 = 0.\nAnswer: -26\/11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -2*a - 5. Let m be a\/15*(-20)\/2. Suppose d - 50 = -3*z, 2*z - d - m*d = 56. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 242731873739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 2103 (base 4) in base 13?\nAnswer: b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 342324571?\nAnswer: 23, 14883677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 4531283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 - -10. Let z = 2.3 - 2. Which is the third biggest value?  (a) z  (b) 5  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -4*m. Let v(n) = 16*n**2 - 4*n. Determine y(v(a)).\nAnswer: -64*a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*y - 887*y**3 - 10042*y**3 + 14*y.\nAnswer: -10929*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 10*h**2 - 17*h + 8*h + 4*h + 3*h to the form a + i*h + z*h**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 4*v - 2 - 3*v + 2606*v**2.\nAnswer: 2606*v**2 - 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -26*v**2 - 7*v + 131. Let j(w) = 26*w**2 + 6*w - 87. What is 3*j(u) + 2*r(u)?\nAnswer: 26*u**2 + 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 p, 1 a, and 1 j when four letters picked without replacement from {j: 1, e: 2, a: 1, p: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(162)*-2 - sqrt(162))**2 + sqrt(162) + (-1 + sqrt(162))**2*-6.\nAnswer: 117*sqrt(2) + 480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4039?\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 279\/152 + -23\/19. Calculate the common denominator of 95\/(-4) + -1 + (-4)\/(-1) and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -19 (base 16) to base 13\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -2*q**2 - 2587*q + 243146. What is w(88)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**3 + 11*k**2 - k - 15. Determine h(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 4) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -110*d - 2*k - 62 = -111*d, 6*k - 24*k + 450 = 5*d for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/3 - 56*y - 2352.\nAnswer: -(y + 84)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -1, -4*j + 32772 = -24*f + 22*f. What is f rounded to the nearest 100?\nAnswer: -16400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 347, 737, 1137, 1547, 1967?\n\"Answer: 5*k**2 + 375*k - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-32 - 6) + 0\/1. Let p = -16 - d. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 minus 21285351.34?\nAnswer: -21285350.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 33 + -41. Let m(b) = 350*b**2 + 8*b. Let k be m(x). Is -1 + k\/28 + 4\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -l + 6 = -3*a, 172*l - 164*l + 3*a + 60 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8002012?\nAnswer: 2, 2000503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2 + 222012221021?\nAnswer: 222012221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1124 (base 14) to base 13\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2600043083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of -1\/3*r**3 + 0 + 5\/2*r**2 - r. Let h(z) = z - 2. Let j(w) = 2*f(w) + 5*h(w). Let y(a) = 2*a. Determine j(y(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -490 divided by -98\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lwl when three letters picked without replacement from owyyyoolyllyoy.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -14*y**2 - 19*y - 6. Let d(h) = 76*h**2 + 94*h + 29. Let x(m) = 2*d(m) + 11*k(m). Calculate x(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1634.\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 10 - -441e90a?\nAnswer: 441e91a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 114 - 111. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 228 - 108. Suppose -6*s + s = -w. Calculate the highest common factor of 3 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-384)\/(-576) - 7*(-164)\/6 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -17 - 7a?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2779 is divided by 47.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/4 and -13\/282725977?\nAnswer: 1130903908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(143) - (-1*sqrt(143) + sqrt(143) + sqrt(143))*-3)\/(-5*(sqrt(99) + sqrt(11)) - sqrt(11)) + (sqrt(208)*4 + 0)*-4)**2*1.\nAnswer: 23622352\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 431.16 take away -0.169?\nAnswer: 431.329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 206*p - 1228 = 6441 - 1077 for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 27040 and 2560?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t**2 + 17*t - 7. What is h(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -395, -797, -1199, -1601, -2003?\nAnswer: -2405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 60 and 120980?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10600 = -11*p - 7465. Calculate the lowest common multiple of 285 and p.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5\/527 or -53\/14?\nAnswer: -5\/527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = 3 - 5. Suppose 6*t - 3*t + 8 = q, q - t - 4 = 0. What is the third derivative of q*f**2 - f**3 - 5*f**x - 2*f**3 wrt f?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*i + s - 3*s + 89351, 4*s + 38269 = 3*i. List the prime factors of i.\nAnswer: 12763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = a**3 + 5*a**2 + 3*a + 3. Let s be z(-3). Let p = s + -12. Let w = 14 + p. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -32b6a (base 15) in base 3?\nAnswer: -22012010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jmmmmjjmmmm. Give prob of sequence mj.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/7639 or -1?\nAnswer: -2\/7639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 3 - 14 = 5*y, -3*v = -3*y - 21. Suppose -15 - 17 = -i. Let t be ((-1)\/y)\/(20\/i). What is the closest to t in -1\/2, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 27657.\nAnswer: 3, 7, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - k - 3*k = 163, 2*w = 2*k - 104. Let c be 2*(-3)\/((-9)\/(-3)) + w. Let z be (-2)\/c*5 + (-20)\/(-11). What is the closest to -0.18 in 3, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 756224 = 19*y + 45*y. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -202 - 2*j**2 - 16*j**3 + 202 + 4*j to u*j + o*j**3 + b + y*j**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 2. Let p be t\/(-2)*-1*0. Suppose 2*v + 3 = -j - p, v = j. Which is smaller: j or -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -232909 - -579020. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -152*k**3 + 72*k**3 + 84*k**3.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - (-36 - (13 - 40)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -181 + 186. Suppose 0 = -w*n - 27*n + 2048. What is the highest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(931) - (sqrt(931) + sqrt(931) + sqrt(931) + sqrt(931) + 1 + -1))**2.\nAnswer: 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 6307 + -0.03\nAnswer: 6306.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/((-4 - -14)*1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 66642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-2*sqrt(684) + -1)*-1.\nAnswer: 4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -t**3 + 4*t**2 - 4*t + 2. Let l be x(2). Suppose -l*h + 6 = 2*y, -h + 5*h - 2*y = 6. Let r = h - -1. Let s(z) = 2*z - 3. What is s(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) be the second derivative of 5*j**4\/12 + 55*j**3\/6 + 45*j**2 - 87*j. Factor x(p).\nAnswer: 5*(p + 2)*(p + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.31851 + -4.201139. Let l = -5.52 - r. Round l to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*s + 7*s + 22 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 9*m**3 - 11*m**2 - 4*m + 8. Let v(u) = -17*u**3 + 21*u**2 + 7*u - 16. What is 11*o(x) + 6*v(x)?\nAnswer: -3*x**3 + 5*x**2 - 2*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(1300) + sqrt(1300)*-1*-1)**2 + -4 + 3)*-1*5.\nAnswer: -26020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(140)\/(sqrt(21)\/(sqrt(3) - -1*sqrt(3))))\/(((sqrt(128)\/sqrt(4))\/sqrt(8) + sqrt(4))*-2).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 23 + -21.9. Let f = 0.6 - k. Let g = 3.6 + -4. Put g, -2\/7, f in descending order.\nAnswer: -2\/7, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**3 - 2*j**2 - 2*j - 2. Let a = -7 + 5. Let z be y(a). Which is smaller: z or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 61, 678, 1305, 1948, 2613, 3306, 4033?\n\"Answer: l**3 - l**2 + 613*l - 552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**25)**(7\/5)*b**(-1\/11)\/(b\/(b\/b**(-5)*b))*b**(-1\/3)\/(b**(-3)\/b) assuming b is positive.\nAnswer: b**(1471\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let g = -263 - -340. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 12*b**2 - 181*b - 62. Is h(77) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) -77  (b) -1  (c) 60.4  (d) -2  (e) 7  (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -6984 - -7034. Solve 368 = -i*u - 32 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5\/((-50)\/(-10) - 4). Solve -f + 2 = -2*m, -10 = -m - c*f - 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 133 is divided by 35.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2 (base 6) to base 10.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.79?  (a) -4  (b) 0.6  (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 0*t + 2 = 0. Let j be (1 - 5)\/t - -4. Let l be (0\/(-5) + -1)\/(-1) - 0. Sort -3, j, l.\nAnswer: -3, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/7, -30, -0.0088, -2\/5, 0.03?\nAnswer: -0.0088","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 265*y**2 + 181 - 181 + (-3*y + 0*y + 2*y)*(-4*y - 2*y + 5*y) + 3 - y**2 - 3*y + 3*y.\nAnswer: 265*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (28 + -8)\/(2\/4). Let c be 1\/5 + 1912\/w. Suppose 4*n - c = -16. 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 b(s) = 12*s - 5. Let a(z) = 12*z - 5. Determine 6*a(n) - 5*b(n).\nAnswer: 12*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1278578 is divided by 319642.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 14 + -16. Let j be y\/(((-12)\/(-2810))\/(-3)). Let x be (-2)\/2 - j\/(-5). Calculate the highest common divisor of 28 and x.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*v - 3*y + 9, 0 = -3*v - 178*y + 186*y + 31 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4145 is divided by 80.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.27 + -9.23. Let r = o + 9. Which is the second smallest value?  (a) 1  (b) -3\/10  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33700 = -3074*w + 3070*w. What are the prime factors of w?\nAnswer: 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 391 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2119*v = -7395*v + 98484 + 203607 + 14469 for v.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -5?  (a) 0.2  (b) 0.04  (c) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.6 and 639.\nAnswer: 1022.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2218 by 2.\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25050*w - w**3 - 25050*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 150, 279, 384, 459, 498, 495, 444?\n\"Answer: -n**3 - 6*n**2 + 154*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -147*a**2 + 2*a - 291*a**2 + 937 + 888 - 1276 wrt a.\nAnswer: -876","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = 12*r - 15*r - 2*r**2 - 16*r + 10*r**2. Let v(c) = 8*c**2 - 19*c. Let p(f) = -3*n(f) + 4*v(f). What is the second derivative of p(t) wrt t?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.5357 + -0.1433. Let p = -19.321 + z. What is the biggest value in -4, -5, 2\/15, p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + 3. Suppose 2*s = k*s - 4. Let t(y) = 17*y**2 + 5*y + 2. Let q be t(-1). Calculate the greatest common divisor of q and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -11  (b) 5  (c) 27  (d) 1\/4  (e) 60709  (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, -2, 4, 14 in decreasing order.\nAnswer: 14, 4, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -119*g**3 + 80*g**3 - 9*g**3.\nAnswer: -48*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvvi when four letters picked without replacement from {v: 3, i: 1, w: 2, c: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1960.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that 4*k**4\/9 + 344*k**3\/9 - 1936*k**2\/3 + 25256*k\/9 - 19796\/9 = 0.\nAnswer: -101, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 30135291 to the power of 1\/3, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.5, 2, 0.43, -1\/5, 0.01?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1, -0.5, 20, -7\/2, -2\/7?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1076 is divided by 525.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 3022 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 26 = 4*a, -2*i + 64 = 2*i + 4*a. Let u be 540\/(-42)*(-56)\/6. What is the highest common factor of u and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6\/14521 or 0?\nAnswer: 6\/14521","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v + 4. Let g be u(0). Suppose -3*x - 2 = g. What are the prime factors of (-2)\/(1 + x) - -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2455 + -59.\nAnswer: 2396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {c: 4, a: 9, q: 4, k: 1, j: 2}?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - 5*r**2 - 7*r - 6. Let n be o(-4). Let q = -3 + n. Let y be -2*((-14)\/(-8) - 1). Put q, 2, y in descending order.\nAnswer: q, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 164394327.\nAnswer: 3, 19, 139, 20749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 7.3 times -3\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 6 + 6*c + 4*c - 9*c. Let n be t(-5). List the prime factors of (n - 1 - 2) + 20.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -3 - 3 - 0 - 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -62 (base 8) to base 7.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -27\/21197 and -33\/25051.\nAnswer: 275561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -28 by -43.\nAnswer: 28\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -43, -66, -89, -112?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 4)*(0 - 2 + 0)*(-5*n - 8*n + 12*n)*(-4 - 1 - 1)*(-3 - n + 3).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence got when three letters picked without replacement from goottzoooogttsoogtt?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Work out -54.44 * -2.52.\nAnswer: 137.1888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11432 + 7.0472241.\nAnswer: -11424.9527759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 930377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 4477.7608 and -30.\nAnswer: 4447.7608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32*w = -1883 - 5573. Calculate the remainder when w is divided by 81.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (0 - -5) + (-1 - -3). What is the derivative of -800 + 854 + y*a**4 + 2*a**4 - 2*a**3 wrt a?\nAnswer: 36*a**3 - 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -3781*y - 48. Let m(o) = -7562*o - 92. Let j(b) = 23*h(b) - 12*m(b). Let q(n) = 2*n**2. Calculate j(q(s)).\nAnswer: 7562*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -259837*n - 5*a - 95 = -259827*n, 0 = 2*n - 3*a - 73 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -296 + 296. Which is the second smallest value?  (a) -2\/5  (b) -2\/11  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 4, z: 2, n: 2}. Give prob of picking 2 z.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 354 by -2.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 1, 2\/7, 0.84 in ascending order.\nAnswer: 2\/7, 0.84, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 12477021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 490432 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -3*s**2 - 6*s + 2. Let q(w) = -6*w**2 - 11*w + 4. Let a be (-188)\/40 + 5 - (-214)\/20. Calculate a*k(b) - 6*q(b).\nAnswer: 3*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 12\/25 of a kilometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -8, -7, 5, -15 in descending order.\nAnswer: 5, 0, -7, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-3)\/h*h**(3\/7))\/((((h*h**(-1\/2))\/h*h)\/h)\/h)**(-5\/2)*(h*h**(-2\/5)\/h*h**1*h)\/(h**(-1))**37 assuming h is positive.\nAnswer: h**(4379\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -42*r + 37*r + 580. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 11667 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.012465 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**2 - 2742*j - 626547.\nAnswer: -3*(j + 457)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 32.758, 2.8, -0.3, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 3*g - 5. Let v(j) = 7*j - 9. Let p(r) = 5*o(r) - 2*v(r). Let l be p(7). Let i(u) = -u**3 + 2*u**2 + 15. Let z be i(0). Solve 7*f - 4*f + z = l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 2, d: 6}. Give prob of sequence kk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 + 14*h - 53. Let t be y(8). What are the prime factors of 23*(-56)\/20*t?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 314, 1, -372, -223 in descending order.\nAnswer: 314, 1, -223, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) -3\/5  (b) 2\/3  (c) -71\/6  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1033*x - 1033*x + 34865*x**3 - 69776*x**3 + 34909*x**3.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 152677777 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7 - (-1 + -1))*-4. Suppose -5*r - 70 = -k. Let o be r\/4 - (0 - 2). What is the smallest value in 3, -5, o?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 12*w - 16*w - 3*r - 17, 0 = -5*w + 5*r + 5 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -67650.33772 rounded to zero dps?\nAnswer: -67650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 43 - 25. Let n = 1239\/2090 - -3\/418. Let g be (-23 - -13)\/(2\/1). What is the third smallest value in g, n, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -5, 3, 4.1.\nAnswer: -5, -0.5, 3, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -5, 10, -1, -58 in decreasing order.\nAnswer: 10, -1, -3, -5, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(19) + -2 - (5 + sqrt(57)\/sqrt(3))**2.\nAnswer: -46 - 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3679 - -3683.878. What is q rounded to 1 decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24 = -v - 5*s, 4*v + 460*s = 464*s + 24 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (-4 - -2 - -7 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -9*c + 2. Let q(t) = -10*t + 3. Let w = -29764 + 29768. Give w*q(n) - 5*a(n).\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -20 - -40. Suppose 4 = 2*a - r. Suppose 2*n - g - 46 = 0, 2*g = -g - a. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -606*i**3 + 5*i + 5. Let k be c(-1). Let n = 611 - k. What is the remainder when 318 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-72)\/(-6))\/((330\/(-1640))\/(-11)). Calculate the greatest common divisor of q and 1271.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19 + 31. Let j be 6\/1 - ((-4)\/(-4) + 3). Suppose 5*g - 5*m - 105 = 0, -j*g + 3*g + 4*m = 6. Calculate the lowest common multiple of v and g.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 20 = 9*h. Let c be 14*2 - 0*(-2)\/10. Calculate the highest common divisor of h and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 2 = 6. Suppose -f*u - 3*z + 17599 = 6526, -4*z = 4. What is the units digit of u\/34 - 22\/(-187)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -165?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -458325 divided by 15.\nAnswer: -30555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3103*x**4 - 29*x**3 - x + 22531?\nAnswer: -37236*x**2 - 174*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -9*s. Let m(h) = -5*h**2. What is a(m(c))?\nAnswer: 45*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1601, -2762, -3923, -5084, -6245?\nAnswer: -7406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -509\/130809?\nAnswer: -509\/130809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.013 and 18.502.\nAnswer: 18.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47590 + 281*a + 47590.\nAnswer: 281*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1248 (base 10) in base 13?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-2\/5)*z**(6\/5))**(-22)*(z*(z\/z**(-1))\/z)**15\/((z\/(((z\/((z\/z**(-1\/2))\/z*z*z))\/z)\/z))\/((z**(-7\/4)*z)\/z)) assuming z is positive.\nAnswer: z**(-317\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 191 = -15. Let t = 19 + -11. What is the highest common divisor of t and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 258 a factor of 307013292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 230415?\nAnswer: 3, 5, 15361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 29 + -26. List the prime factors of (-10)\/(-35) + (-1758)\/(-21) + n.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*g + 536*g**2 - 3 + 3 + 3*g.\nAnswer: 536*g**2 + 20*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + (-158 - -81 - (4 - (-4 + 31)))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that -t**5\/3 + 1447*t**4\/3 + 103256*t**3\/3 + 2038192*t**2\/3 + 8145920*t\/3 + 6209536\/3 = 0.\nAnswer: -32, -4, -1, 1516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 49725300.\nAnswer: 2, 3, 5, 83, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v**5 - 123192*v**4 + 862220*v**3 - 2217032*v**2 + 2463312*v - 985312 = 0. What is v?\nAnswer: 1, 2, 30791","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-2\/7)\/t)\/(t**(-3)*t))\/(t**(1\/2))**(1\/5)*(t*t*t\/(t*t**(1\/2)))**(3\/20)*t**(2\/9)*t*t\/(t**(3\/5)*t*t) assuming t is positive.\nAnswer: t**(3683\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 267\/712*12\/(-45).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -22*q**2. Let s(o) = -15*o - 15*o - o + 10*o. Calculate s(a(c)).\nAnswer: 462*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 21695.1 + -21693.1. Let l(r) = -r**2 - 5*r + 3. Let i be l(-5). Which is the closest to 0.2?  (a) i  (b) -1\/4  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*s + 10 + 11 = y + 2, 25 = -s + 5*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 211 minutes after 4:34 AM?\nAnswer: 8:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-23*k**2 + 44*k**2 - k**2 - 2)*(2*k + 0*k - 4*k).\nAnswer: -40*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gsg when three letters picked without replacement from {t: 1, u: 1, p: 1, m: 2, s: 2, g: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 4\/57  (b) -4  (c) -0.5  (d) -40  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 7617329 or 7617338?\nAnswer: 7617338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2901 - 2621. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 100201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 47611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z - 7 - 3 = -2*f + z, 5*f + 0*z - 25 = -3*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -5.4  (b) -2.9  (c) 7\/6  (d) 5  (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2 + 4*b**3 - b**3 - 4*b**3 + b**2 to u*b**3 + p*b**2 + r + c*b and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -181 + 225. List the prime factors of c.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 9*s. Suppose -5*k + 4*c + 133 = 0, 4*k + 2*c - 154 + 58 = s. Suppose -b = -3, -d - 2*b + k = -0*d. What is d rounded to 0 dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**2 - 3*q - 1. Let m be s(5). Let z = -2458 - -2582. Suppose m*y - 1654 = -z. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -5*i - 7. Suppose -t = -4*r - 14, 481 = -2*r + 2*t + 465. Let z(h) = 4*h + 6. Give r*u(j) - 3*z(j).\nAnswer: -2*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wow when three letters picked without replacement from wwwwwwwwwwwwovvww.\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*g + 3*y, 4 + 6 = 5*g - 2*y. Solve g*m + 17 = 3*m - 4*x, 4*x + 27 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -4266 (base 9) to base 14.\nAnswer: -1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d**2\/2 - 129329*d\/2 + 581940 = 0. What is d?\nAnswer: 9, 129320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that -p**3\/5 - 327*p**2 + 1077052*p\/5 - 2147556\/5 = 0.\nAnswer: -2139, 2, 502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 552 + 2?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 plus -102?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from uuyuuyuuyuuuyuuuyu.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**2 + m**2 - 2*m**2)*(m**3 - m + m) + (3 - 3 - m**3)*(0 - 37*m**2 + 0) + 3*m**3 - 3*m**3 - 2*m**5.\nAnswer: 36*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*f**2 + 18*f - 2*f**3 - 5*f**3 - 14*f - 4*f to x*f**3 + r + y*f**2 + i*f and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.41 - 5.59. Put -3\/7, j, -3\/4 in descending order.\nAnswer: -3\/7, -3\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1573 and 2964?\nAnswer: 358644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l + 79 - 33 = 0. Suppose 4*t = l + 29. Solve 5*n - 3 = -t for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from sjsssssssssssss. Give prob of picking 1 j and 3 s.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 1:23 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = a**3 - 7*a**2 + 3*a - 7. Let t be f(6). Let x = t - -56. Suppose -46*o = -6*o - 280. Solve -i - 2*p + 3 = 0, 5*p = 3*i + x - o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-1)*(8\/4)\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**2 + 2*i + 3. Let z be n(-2). Suppose 2*v - 175 = -z*v. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 1 - 5)*(-a + 1 - 1) + (-a + 0*a + 0*a)*(-4 - 1 + 3) + 0*a + 0*a + a + (-1 + 1 - 4*a)*(-3 + 2 + 4).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the third derivative of 14*h**2 + 0*h**6 + 0*h**4 + 83\/210*h**7 + 0*h + 0 + 0*h**5 + 97\/6*h**3. What is the derivative of s(q) wrt q?\nAnswer: 332*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tgtg. Give prob of sequence gtgt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 2*b**2 + 21*b + 21. Calculate i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 133377 is divided by 156?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*d**3*v**3 - d**3 + 373*d**2*v**3 - 3804*d*v**3 - 25*d*v**2 wrt d.\nAnswer: 24*d*v**3 - 6*d + 746*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.9879669 to 2 dps.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 2*s - 3. Let t(c) = -c + 4. Give 2*k(w) + 3*t(w).\nAnswer: w + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = -9*t**2 - 11*t + 40. Let d(g) = -5*g**2 - 6*g + 20. Calculate -6*b(h) + 11*d(h).\nAnswer: -h**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10001111112212 (base 3) to base 2.\nAnswer: 110001100011101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -12.3  (b) 1\/4  (c) 6  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -3*v - 3. Suppose 3*p + x + 3*x + 32 = 0, 2*p + 22 = -2*x. Let r(i) = 2*i + 26. Let b be r(p). Let y(k) = 1. Let f(d) = b*y(d) - m(d). What is f(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 289542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 11:53 PM?\nAnswer: 12:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (10 + (6 - 9) + 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 410 is divided by 59?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = i - 1. Let l be w(5). What is the third derivative of 4 - 27*f**2 - l + 0 - 13*f**4 wrt f?\nAnswer: -312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -3*a - 1. Let n be c(-1). Suppose -5*i + 2 = n*z, -z - 2*i = z - 8. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3816621.\nAnswer: 3, 199, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 5, p: 8, v: 3}. Give prob of picking 2 c and 2 v.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**2 + 2*b**2 - 4*b**2 + 2*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1133 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = 4*t + 3072, 3*t + 2632 + 1214 = -5*a. Let s = -534 - a. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 + -1. Let w = -101 - -98. Is w at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 4 + -2. What is the units digit of j + -5 + 14\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 32675920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -b**2 - 43*b - 376. Calculate t(-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) be the second derivative of v**3\/6 - 5*v**2\/2 + 2*v. Let n be r(5). Suppose 2*k - h = 1, 393 = -3*h + 402. Solve n = k*m - 6 - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -24*w - 24*w + 49*w. Let f(z) = -48*z - 1. What is f(c(b))?\nAnswer: -48*b - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*l + 3*w - w, 5*l + w = 7. Let a(c) = -l*c - 3 + 0 + 3*c + 2. Calculate a(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:19 AM and 7:43 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 10 = -y - 24, -5*w = 24*w + 4*y - 11 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18 + (41 + -46 - (-2 + 1 - 0)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d - l = -0*d - 26, -2*d + 2*l = -20. What is the remainder when (-6 + 105\/9)\/(5\/15) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 AM and 1:24 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 433376240?\nAnswer: 2, 5, 11, 17, 59, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/5216060 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 212 a factor of 13356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 times -19.130472?\nAnswer: -9.565236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1417943\/18 at most 78774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -13\/10  (b) -23\/2  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -25866, -25867, -25868, -25869, -25870?\n\"Answer: -g - 25865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -5*j + t, -3*j - 341149*t = -341148*t - 13 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Do -5\/118 and -301.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qg when two letters picked without replacement from iuugsjq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*p + p**3 + 0*p)*(4*p**2 - 15*p**2 + 2*p + 10*p**2).\nAnswer: -p**5 + 2*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 times -226898?\nAnswer: -907592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 371.51874598 - 57.51872628. Let v = c - 314. Round v to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**5 + 4*n**5 - 5*n**5 + (0*n**3 - 3*n**3 + 4*n**3)*(n**2 + n**2 - 5*n**2).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1003.6 - 1004. Let j = -107\/611 + 1\/47. Let p = -76.1 - -76. Which is the biggest value?  (a) p  (b) l  (c) 0.2  (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 21*r**4*w - 190*r**4 - 2350*r**2 - 2*r*w + 7297*r + 73*w wrt r.\nAnswer: 252*r**2*w - 2280*r**2 - 4700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 5284*c - 73967. Determine r(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 79*m**2 - 361*m + 712. Let b(s) = 28*s**2 - 120*s + 237. Let a(g) = 17*b(g) - 6*k(g). What is the derivative of a(t) wrt t?\nAnswer: 4*t + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32 (base 6) to base 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -2 + 3*a + 2 + 6. Let m(w) = 26*w + 2 - 8*w - 17*w. Let j(x) = -7*m(x) + 2*v(x). What is j(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -51*f. Let x(c) = 391*c. Determine l(x(p)).\nAnswer: -19941*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 0 + (-111)\/(-3) - 2. Suppose -k = 4*b - 679. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r and 1 g when three letters picked without replacement from {g: 1, r: 7, q: 2, h: 10}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -15619, -818.\nAnswer: -15619, -818, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 847\/880 + (-100)\/32 + 3 and -79\/80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 113 - 247. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2179, -4393, -6609, -8827?\nAnswer: -11047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w**3 - 2*w**2 + 5*w**2 - w**4 - w - 15765 + 15753 + 0*w**4 to the form a*w**2 + z*w**3 + f*w**4 + g*w + t and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by -90\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*u, 4*u + 12 = -22*i + 21*i. Let r be (4\/3)\/(-2)*-105. Suppose 2*w + i*n - r = -3*n, -n = 2. Calculate the remainder when 151 is divided by w.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18.7 + -19. Suppose -3*d + 0*d + 3 = 0. Let y be (-1 - -1 - d) + -2. Sort u, y, -0.1 in decreasing order.\nAnswer: -0.1, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1629762 or -1629765?\nAnswer: -1629762","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (6*n + 12*n + 26*n)*(141 - 141 + 34*n**2) to q*n**2 + i*n + k*n**3 + m and give k.\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 4*t + 11. Suppose -t*g - 118 + 126 = 0. Solve -b + r = -g, -1 = -2*b - 3*r - 2*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10860405 is divided by 329103.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-24)*(-186)\/124.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 0.15  (b) 2\/13  (c) -0.018  (d) -2\/9  (e) -4  (f) -3  (g) 1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 153 - 150. Solve w = -k - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6890 and 120710.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5441984 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28535453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2066205 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {i: 1, z: 1, x: 2, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 1141214\nAnswer: -5\/1141214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3607 + 10820\/3. What is the closest to 0 in 10, 6, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -686*l - 2*a = -685*l - 31, a - 23 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert 719.5484 minutes to milliseconds.\nAnswer: 43172904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 3*o - 16 = 0, 4*t + 4*o - 8*o = -28 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3257360636?\nAnswer: 2, 239, 3407281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/25)\/1*6.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = 3*c - 10. Let w be f(11). What is the highest common factor of 253 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 128*p - 13. What is the hundreds digit of d(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -549546696*g**4 - 237923*g**2 - 6*g + 14 wrt g?\nAnswer: -13189120704*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/13 in 2, -2, 77?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (5*(sqrt(833) + -3) + (-5*-4*sqrt(833) - sqrt(833)) - ((2 + sqrt(833)*-1)**2 - (-2 + 1*sqrt(833)))).\nAnswer: -856 + 203*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -27 - -30. Solve -5*j - 11 = 2*z + 2, -l*j = -z - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 283493969.\nAnswer: 11, 43, 599353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in 16, 2\/11, -11266.7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 28.3594322 to one decimal place.\nAnswer: 28.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.82 + 0.8162. What is s rounded to three decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9 - -52 - (0 - -34)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 26 + -92. Is (138\/(-18))\/(2\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*g**2*w**4 - 79*g**2 + 51*g*w**5 - 3*g*w**2 wrt w?\nAnswer: 96*g**2*w + 3060*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(-6*-1*sqrt(153) + sqrt(153)))\/(-1*sqrt(576) - 2*sqrt(81)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22490 = -32*u + 2278. What is the hundreds digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, f: 15}. What is prob of picking 4 f?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 106 divide 16988302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + -1.1. Let u = -276.3 - -276. Let x = u - g. What is x rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -52 + 52. Let t = 9.6 + -5.5. Let b = 0.1 - t. What is the second biggest value in -3\/7, b, c?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1779 - 7115\/4. What is the nearest to k in 0.3, 0.1, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*s**4 + 2*s**3 - 2*s**3 - 3*s**3 + (0 + 1 + 2)*(143*s + 42*s**4 - 143*s).\nAnswer: 119*s**4 - 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5716836240.\nAnswer: 2, 3, 5, 43, 251, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((0 + sqrt(1331))**2*-4 - (sqrt(1331) + 1*-5*sqrt(1331))) + 2)*-5.\nAnswer: -220*sqrt(11) + 26610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14\/245*-5*-12*(-12)\/1296?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 624 and 4080?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40*92497.\nAnswer: -3699880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 504, 3895, 13098, 31017, 60556?\n\"Answer: 484*u**3 + 2*u**2 - 3*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -11 + 23 + (-59 - -30).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the second derivative of 17*b**5\/10 + b**4\/12 - b**2\/2 + 693*b. Determine h(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -111*w + 23 = -88*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -71.8842 and -1?\nAnswer: 71.8842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 3*g**2 + 16*g**2 - 18*g**2 - 37*g + 66. Let w be u(39). Calculate the greatest common factor of w and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(-2))**(-43)\/(w\/w**(-4\/5)*w)**43 assuming w is positive.\nAnswer: w**(-172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 226, 233, 254, 295, 362, 461, 598?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**3 + 14*k**2 - 35*k - 45. Let i be r(-16). Let z(b) = 2*b**2 - b + 2. Let l be z(4). Calculate the greatest common factor of l and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1\/h)**(-5\/8)*h\/(h\/(h*h**(-1\/5)*h))*h**0 assuming h is positive.\nAnswer: h**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1080.5 - -1080.5. Sort 54, 0.9, o in ascending order.\nAnswer: o, 0.9, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21.761 + 21.8. Let b = 0.046 + -0.085. Let y = l + b. What is the second smallest value in -3, 1\/3, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 0  (b) 0.8  (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -40*p**2 + 46*p + 101. Give n(-2).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 644 minutes after 1:54 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.007 or -20\/9?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**3 + 303*x**2 + 82*x + 35569. Determine z(-152).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 678348 less than or equal to 678348?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 + 3 + 1 + -3 + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*c**3 + 36*c**2 + c**3 - 9*c**2 - 3*c + 4*c**3 to the form y*c + i*c**2 + h*c**3 + r and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-4*7\/7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n**3 + 8*n**2 + 10*n - 6. Let i be g(9). Suppose i*w - 16 = 2. What is the least common multiple of w and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1330921?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 45, -43, -277, -729, -1471?\n\"Answer: -12*s**3 - s**2 - s + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.068 and -6756?\nAnswer: 459.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1005 + -0.1793995.\nAnswer: -0.2798995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1\/5, 300, -5, 2\/7, -1\/2, -1\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g + 4*g - g + g + 5. Suppose 4*x - 26 + 6 = 0. Suppose -20 = -f - 4*w, x*f - 2*w - 16 = -w. Let p(d) = -2*d - 4. What is f*p(l) + 3*t(l)?\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 4*d = 0. Let i(f) be the first derivative of 2 - 3*f - 1\/2*f**2. Determine i(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1642 divide 339493352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -19, -122, -237, -370, -527, -714?\nAnswer: -937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 5*p + 25 = -9, -4*p = -w + 11. Let c = w - -14. Solve -4*d - u - 1 = 0, 3*u = -4*d - 0*d + c for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 34 divided by 1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 288 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -525, -544, -559, -564, -553, -520?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 1. Suppose r - l = 5. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*k + 16. Suppose 0 = -k*n + 10 + 26. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 AM and 7:06 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1 + 0. Let n be (3 + 3)*g\/3. Suppose -2*q + 4*o = 8, n*q = o - 2 + 3. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -26 - -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -185556072 divided by -1189462\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 134 and 3082.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 64 and 16421.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6076 - 6061. What is the nearest to 0.2 in -49, -1\/11, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 14674 - 14674.00000106675. What is c rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/2)\/o**1)**3\/((o**(-2\/5)*o)\/((o\/(o*(o\/(o*o**(-5)\/o))\/o*o*o)*o)\/o))**(4\/3) assuming o is positive.\nAnswer: o**(-349\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 91 minutes after 1:16 AM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 AM and 5:47 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -699035\/125196 + 2\/10433. Suppose -2*c = -j - 32, c + 8 = -4*j + 24. What is the common denominator of z and ((-4)\/(-130))\/(c\/2180)?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -71681\/14 - -5125. Find the common denominator of h and 63\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**5 - 192*c**4 - 1696*c**3 - 5248*c**2 - 7104*c - 3584.\nAnswer: 4*(c - 56)*(c + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 258\/5459?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 0*p = -n + 8, 20 = -2*p + 4*n. Let o = -11 - p. Does 17 divide 33*8\/(-60)*o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 + -7. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = 4*i + 36, -3*w - 2*i - 5 - 17 = 0. Let m = 2 + -7. Sort w, -7, m in decreasing order.\nAnswer: w, m, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 8 = 3*l. Let t be l*60\/(-8) + -2. Let z = 121 - t. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 78 = -2*h, 2*y + 4*h - 27 = 15. Let q = -10 + y. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1435 + 39 = -236180*g + 236247*g for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1268 = -0*j + 4*j. Let y = j - -390. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.045365321 to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 4*q = -3. Let l(s) = -s - 2. Let v = -10 + 7. Let a be l(v). Solve -7 = -q*r - a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 67\/35850 and -47\/14340.\nAnswer: 71700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2201*h**4 - 4*h**3 + 2*h**2 - 2*h + 352465.\nAnswer: 8804*h**3 - 12*h**2 + 4*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 516361051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 + -25.0000007. Round p to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.0255 - -1.9745. Let p = -0.08 + 0.28. Put s, -2\/9, p, 1 in decreasing order.\nAnswer: s, 1, p, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 168218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 6224011 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = 2*r**3 + 27*r**2 + 20*r + 1. What is the hundreds digit of f(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 3696 and 12936?\nAnswer: 25872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.08 equal to 328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 630 divided by -7\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3764, 7487, 11124, 14633, 17972, 21099, 23972?\nAnswer: 26549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8026027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5140 - 15299 + 5139 - 23*w + 5026.\nAnswer: -23*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 229 - 226. Let a(z) = 2*z**t + z - 1 + 4*z**3 + 4*z**3 - 11*z**3. Let w(g) = g - 1. What is -6*a(u) + 6*w(u)?\nAnswer: 6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 - 20 - (-1 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 385, 1282, 2777, 4870, 7561, 10850, 14737?\nAnswer: 19222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t**(-4\/5))\/t*t*t)\/(t*t\/(((t*t*t**11)\/t)\/t*t)*t)*(t*t**1)**(-2\/43) assuming t is positive.\nAnswer: t**(2173\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 AM and 1:42 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {u: 3, z: 1, w: 7, a: 1}. Give prob of picking 3 w.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1309, -1312, -1315, -1318?\nAnswer: -1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 408 a factor of 205879656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 - -3. Let s = 3.7 + -3.5. Which is the nearest to 2?  (a) 2  (b) l  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1054 times -0.03?\nAnswer: 31.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -124 + 215. Let z = 216 - m. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.056 and -237.\nAnswer: 13.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-2\/7)\/f)**17)**(-16) assuming f is positive.\nAnswer: f**(2448\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1000 - 14?\nAnswer: -1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 452*m + 454*m = -6, m - 11 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:22 AM and 11:42 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -45 (base 7) to base 3.\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s - 9*s = 70 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -5, -1\/4, -6, -1\/7, 3.8?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2529499, 2529363, 2529225, 2529085?\nAnswer: 2528943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 6, u: 7}. Give prob of picking 4 g.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -547 - t + 547.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177 = -m - 0*m + 3*f, 181 = m - 4*f. Let p = 77 + m. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -352*m**4 + 352*m**4 + 22*m**5 + (-4*m**4 + 7*m**4 - 19*m**4)*(m + 0*m + m) - m**5 - 3*m**5 + 3*m**5.\nAnswer: -11*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-26)*(1692\/36)\/(-47)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 7*z - 27 = 0. Let q = 12 - z. Suppose q*h - 5 = 76. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5298239 times -0.1\nAnswer: 529823.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -j**2 - 10*j - 12. Let k be y(-8). Let r(f) = f**2 + 4*f. Let u be r(-4). Suppose u = k*a - 4 - 4. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 162*d - 58*d - 52*d - 50*d - 193.\nAnswer: 2*d - 193","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000050924 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 30 divided by -6839\nAnswer: -30\/6839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 293 smaller than 1058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 58 * -0.5\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b**4\/2 + 1280*b**3 - 130065*b**2 - 263980*b - 265265\/2 = 0. What is b?\nAnswer: -1, 143, 371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 16123?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w\/w**35)\/w**(-3\/31))**29)**(3\/11) assuming w is positive.\nAnswer: w**(-91437\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 27?\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1001056 is divided by 333675?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + l - 11 = 0, -17*m + 2*l = -22*m + 10. Solve -5*z + 16 = 2*d + 4, -2*d + 10 = m*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3124.2092 minus 10092?\nAnswer: -6967.7908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 7*t**2 + 22*t - 20*t - 3 - 3 - 5*t**3. Let i(p) = 6*p**3 - 8*p**2 - 2*p + 7. Give 6*i(q) + 7*y(q).\nAnswer: q**3 + q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 6\/13  (b) -432835.8  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 16431032?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 3\/3488 less than or equal to -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out 331549765 + -0.1.\nAnswer: 331549764.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:09 PM and 9:32 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-2*sqrt(7) + 1)**2.\nAnswer: -16*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -10  (b) 5  (c) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3349665 is divided by 60?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3*(12\/(-9))\/(-2). Let r be 161\/35 - s\/(-5). Suppose r*p = 8*p - 288. Is 29 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 50?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 <= -126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = -4*g - 42. Is (-23864)\/(-120) + (-2)\/g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -s**3 - 6*s**3 - 6*s**3 + (1 - 2 + 0)*(-3*s - 2*s**3 + 3*s) - s**3 + 0*s + 0*s.\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 65520 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: What is next in -21, -71, -149, -249, -365, -491, -621, -749?\nAnswer: -869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/10 + 78\/15. Let q = 40 + -36. Solve x + 4 = 3*x + o, -4 = q*x + y*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 4*a**2. Let j(d) = 312*d**2 - 2*d. What is j(f(k))?\nAnswer: 4992*k**4 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 484\/7, 1, 6722?\nAnswer: 484\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 123343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put together 5 and -38.10298.\nAnswer: -33.10298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 67112.53 decades?\nAnswer: 671125.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -58345 (base 15) to base 3.\nAnswer: -112021021102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -3, 152, -103, 1, 0 in decreasing order.\nAnswer: 152, 2, 1, 0, -3, -103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 334\/(-3) + 5*(-4)\/(-60). Let l = h - -206. Suppose 0 = -3*m + 6, -37 = -j - 4*m + l. Does 31 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 55\/828, 1.\nAnswer: -6, 55\/828, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**4\/5 + 81756*j**3\/5 + 835341912*j**2\/5 - 3342430556*j\/5 + 2507006886\/5 = 0. Calculate j.\nAnswer: -20441, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3193 and 1643.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 5 + 11*n - n**2 + 0 - 4*n. Let z be d(7). Solve 9 = -2*g + z*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 + -14)\/(3 + -4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*c**3 + 3*c**3 + c**3 + (-3 + 5 + 0)*(-c**3 - c**3 + c**3) - 7*c**3 - 3*c**3 + 3*c**3 - 6*c**3 + 5*c**3 - c**3.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 1639*x**2 - 98*x + 666. What is the hundreds digit of b(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 593 = f + 110, 5*f - 303 = 3*y. Let h = y + 99. Suppose -h*c = 60 - 69. Solve -22 - c = -5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-9)\/2)*(-84)\/(-84).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3299893443.\nAnswer: 3, 7, 11, 17, 280103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 352.8 - 353. What is the fourth biggest value in -1\/6, -144, -4\/3, z?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 33*f**3 - 796518*f**2\/5 - 98496*f + 115872\/5 = 0.\nAnswer: -4\/5, 2\/11, 4828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**4 + 3*z**4 - z**4)*(83*z - 34*z + 30*z).\nAnswer: -79*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/11561 and -31\/26275?\nAnswer: 289025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 145*v**2 + 16*v - 39*v**2 - 33*v**2 - 36*v**2 - 5*v**3 - 36*v**2 to the form p + x*v**2 + u*v**3 + m*v and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 3853.398s?\nAnswer: 3853398000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4 + 4*(-2*sqrt(448) - sqrt(448) - sqrt(448) - sqrt(448)) + sqrt(448) + 1*sqrt(448)*-1)**2.\nAnswer: -358432 + 2560*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.3, 26, -1, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -31 - -65. Let p = o + -33. Let h = 839 - 840. Which is the closest to h?  (a) p  (b) -2\/3  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 5*g + 30. Let u(s) = -4*s - 28. Determine -3*j(o) - 4*u(o).\nAnswer: o + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 66, -4, 3, 15, -11, -5 in ascending order.\nAnswer: -11, -5, -4, 3, 15, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*k - 4*n - 11, 8 = 3*k - 3*n + 2*n. Suppose 529 = k*m - 3110. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 8, k: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -629 + 255 = -50*y + 326 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 10080 and 315.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 209 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**(-1\/4)*d**(3\/5)*d*d)\/((d*d**1)\/(d\/d**(-5))))**(4\/7) assuming d is positive.\nAnswer: d**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 5103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 149790519 a multiple of 2434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g**(3\/7)*g*g))**20*g*g**(2\/17)*g*g*g*g\/g**(-4) assuming g is positive.\nAnswer: g**(-7075\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine c, given that -4*c**4\/5 + 36304*c**3\/5 + 262080*c**2 + 15738624*c\/5 + 62982144\/5 = 0.\nAnswer: -12, 9112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - 5 = 3*m, 3*m + 3*f + 2 = -1. Let l(p) = -p**2 + 5*p + 4. Determine l(m).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 936711.3 litres in millilitres?\nAnswer: 936711300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -269b46 (base 12) to base 5\nAnswer: -130424040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(136)\/(sqrt(32)\/sqrt(4)*-2) + (sqrt(272) + 3)*-2) + 2)**2.\nAnswer: 1020*sqrt(17) + 45817\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 3722, 7443, 11166, 14891, 18618?\n\"Answer: x**2 + 3718*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 121100201110001201 + 1?\nAnswer: 121100201110001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 535145156064 - -7\nAnswer: 535145156071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8\/5 in 0.0356, 1, 0.2, 6, -5, 5?\nAnswer: 0.0356","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 2*l**2 - 3. Let a(w) = 9*w**2 - 13. Let c(p) = -6*a(p) + 26*m(p). Let n(r) = -17*r**2. Give c(n(o)).\nAnswer: -578*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 58830, -0.2, -24\/49 in increasing order.\nAnswer: -24\/49, -0.2, 58830","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 3*y + 1. Let h be -11 + 4 + (-2 + 0)*-1. Determine f(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:11 PM and 6:25 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 265 = -3*g, q + g = 4*g + 137. Let x = 17 - 17. Is x at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 70 = 3*j. Let p be j\/(-30) - 1\/3. Let z = -6836 + 6838. Sort z, p, -4 in ascending order.\nAnswer: -4, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-108)\/(-14) - 4\/(-14). Let p be 2245\/10 - (-12)\/v. Suppose -m + p = m. Is 32 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12982\/105 + 872\/7. What is the common denominator of q and 161\/780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -20\/761, -103, -2\/5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qzzq when four letters picked without replacement from zqqqqzq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 g and 1 c when four letters picked without replacement from {c: 2, g: 7, n: 2, h: 7}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/20496 and -145\/8784.\nAnswer: 61488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -508*w + 38986 = 5*r - 511*w, -2*r = 5*w - 15644. Does 160 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) + (sqrt(132) - -2*sqrt(132)*2) + sqrt(132) - (sqrt(132) + sqrt(132) + sqrt(132) + sqrt(132)*-2*-3 - sqrt(132)))\/(sqrt(48)\/sqrt(256)))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 + 14*t**2 + 9*t + 10. Let a be (-77)\/6 - 4\/24. Does 19 divide y(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 57246168 and 96432?\nAnswer: 6888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10750831 a multiple of 259?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1956 and 15.\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5177513 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -5*q**2 + 28*q + 86. Give x(16).\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -327*s - 1955. What are the prime factors of v(-40)?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 258592254 divided by -6.\nAnswer: -43098709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by 1218.\nAnswer: -5\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -69128.1 - 336\nAnswer: -69464.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bxbx when four letters picked without replacement from bxxxxbxbxxxxxxbxxxxx.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 390691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -13. Suppose -2*s - 2*w + 0 = -2, a*s - 26 = 2*w. Solve -s*u + u = 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) 3  (c) -1\/34  (d) -3\/2  (e) 0.4  (f) 1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oohh when four letters picked without replacement from hnohhohnnhhh.\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 43917704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 - 7*y**2 + 27*y - 14. Let s be q(-10). Solve -3*a + 2*l - s = 0, a = -5*l + 8 + 15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -4.251 and 0.5.\nAnswer: -2.1255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 142*-58.03\nAnswer: -8240.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is q in 2*q**5\/9 - 26*q**4\/9 + 92*q**3\/9 - 8*q**2\/3 - 16*q = 0?\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 57 and 216429?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*v - 3*l = 25, -5*v + 475 = 5*l + 510 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 - 86. Let i = -61 - c. Let r(z) = -z - 4. Let b be r(-6). Put i, -5, b in descending order.\nAnswer: b, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -67688 by -4.\nAnswer: 16922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 35\/25 + (-6)\/(-10). Solve 0 = -0*q - h*q + 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(300) + 0)**2.\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 206140477 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j - 1. Let w be p(-2). Let l(s) = 6*s + 5*s - 14*s + 4*s. What are the prime factors of l(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12*i - 9 + 9 in the form z*i + l and give z.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - (11 + -2 - -2 - (-84 - -77)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 177, 680, 1525, 2718, 4265, 6172, 8445?\n\"Answer: a**3 + 165*a**2 + a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 84469 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 1\/((-6)\/15)*(2 - 2770)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5254, 3\/7, 0.1, 2\/3, 0.3, -5 in ascending order.\nAnswer: -5254, -5, 0.1, 0.3, 3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 147196259*h**5 + 1345944*h**2 + 5?\nAnswer: 8831775540*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1063*j**4 + 19*j + 1.\nAnswer: -12756*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.6, 0, -95 in descending order.\nAnswer: 0, -0.6, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1)\/(4 - 5)*6908\/(-1). Let r = n + 594069\/86. Calculate the common denominator of -95\/12 and r.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 25 = 4*p, 5*c = -p + 13 + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of 59468 and -1387.70244.\nAnswer: 58080.29756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 2400 and 12514960?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.07 + -3.67. Let i = z - 4. Let u = i + 8. Put u, -4, 4 in descending order.\nAnswer: 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 9 and 54894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*(-12)\/45)\/(2\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.18 + 0.18. Let m = 5 + -2. Let x be m + 1 + 290\/(-65). Is k at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.736 in 0.3, 7.6, -1\/2, -42, 0?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8523*v**2 - 4465*v**2 - 4063*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d, 1 v, and 1 i when four letters picked without replacement from cpppdppvccidcnncccdd?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyyyysss?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -z + n, 5*n + 11 = -z. Let p be 4\/(16\/12)*z. What is the units digit of (-98)\/p - (-18)\/54?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.1 and 1186771487.\nAnswer: 1186771487.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1321854651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add 2.3 and 4.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 44754 and 14918.\nAnswer: 44754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 77374 and 1892.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -8830222*g**3 + 56*g**2 + g - 3187 wrt g.\nAnswer: -52981332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -26522213*h*n + 1840108*h wrt n.\nAnswer: -26522213*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times -135?\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6\/120)\/(161\/920). Solve 13\/7*u + 24\/7*u**2 - b*u**4 - 12\/7 - 3\/7*u**3 = 0 for u.\nAnswer: -4, -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 439896210 is divided by 984.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2 + -8. Let q(p) = -2*p**2 + 25*p - 10. Let s be q(12). Which is the smallest value?  (a) s  (b) 2\/11  (c) n  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 n and 3 u when four letters picked without replacement from {h: 3, n: 5, u: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 7769486 a multiple of 328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4  (b) -8  (c) 13  (d) -1116  (e) -0.5  (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2504562212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 223942 and 246.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the second derivative of -t**4\/12 + t**3\/6 + t**2\/2 - 5*t. Let h be a(3). Let u(s) = s**3 + 6*s**2 + 2. What are the prime factors of u(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 5*j = 1, -3*v + 5*v + 2*j = 2. Let l(a) = -14*a + 6*a - v + 7*a + 4. Let c be l(0). Solve -4*s + 3*t = -5 - 10, -3*t + 6 = c*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l**2 + 418*l - 3. Let n(q) = 1271*q. Give a(n(h)).\nAnswer: 3230882*h**2 + 531278*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 26 = -2. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 445 and 2594261.\nAnswer: 12971305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 14 + -12. Which is smaller: n or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 9\/(-15) - 424\/(-40). Suppose b = -2*i + l, 23*b - 26*b = 5*i - 26. Solve 3*g - 5*o - 9 = -b*o, -25 = 5*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -509, -1111, -1871, -2849, -4105?\n\"Answer: -10*v**3 - 19*v**2 - 475*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8910\/(-561) + 4\/(-34). Let l(i) = -i**2 - 16*i + 4. Let f be l(r). Solve 12 - 32 = -f*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 35*n**3 + 4*n - 4. Let q be o(3). Suppose 5*z - q = -238. Suppose 5*l = -3*t - 2 + 76, -2*l + 29 = t. What is the greatest common divisor of z and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -636224 - -26?\nAnswer: -636198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 652111\/5 less than 130423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -4 + 3 - (-3 + 3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 91, 93, 95, 97, 99, 101?\n\"Answer: 2*f + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) be the third derivative of -7*j**5\/60 - 3*j**3\/2 - 2*j**2. Differentiate l(s) wrt s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = d - 27, 9*x - 13*x - 4*d + 64 = 0. Solve 5*p + 26 = 2*u, -u - 5*p - x = 2*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 2 - -100013133?\nAnswer: 100013201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-213)\/(-36) + (0 - 1) and -71\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 2 = c, -3*c + 27 = -3*i. Let t = i + 3. Let n = -3 - t. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + h + 40 = 0. What is the remainder when h is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1 + 12*x + 10*x - 32*x - x**2 + 3*x as r*x + n*x**2 + s and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2622934210.\nAnswer: 2, 5, 13, 43, 469219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -84 - -80. Suppose 0 = -5*g + 25 - 5. Sort g, a, -5 in descending order.\nAnswer: g, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (100\/(-180))\/((-5)\/6). Which is the closest to v?  (a) 1\/5  (b) -2  (c) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5099590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/4 - 2\/8. Let p(x) = 2*x**2 + 14*x - 24. Let l be p(-9). Solve 0*v + 4*v - l = w for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 376 and 463960.\nAnswer: 21806120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 131 - 12410?\nAnswer: -12224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of b*c**3 - 164640*b*c*k*p + 8695558*b*c*k - 21*b*k - 1506*c**3*k*p wrt p?\nAnswer: -164640*b*c*k - 1506*c**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that 5*r**3 + 333880*r**2 + 8677625*r + 8343750 = 0.\nAnswer: -66750, -25, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 7.88984, -4, 2\/15 in descending order.\nAnswer: 7.88984, 2\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -133 divided by 10\nAnswer: -133\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -32 - -90. Let q = 52 + a. Is q\/6 - (-34)\/51 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.0997 + 4.6097. Let y = 9.51 - h. Put 0.02, y, -0.3, 3 in decreasing order.\nAnswer: y, 3, 0.02, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 10*i**2 - 6*i + 12. Give t(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -188 - -196. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 19\/32 and -11\/628.\nAnswer: 5024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = 39*m - 38*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 2  (b) -5\/22  (c) -1\/30  (d) -0.2  (e) -1\/3  (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**3 - 11*c**2 + 4. Let i be b(-11). Let k = 72 + -71. What is the nearest to k in 3\/7, i, 3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48 + -11. Suppose 0*j = -2*j - 4*c + 72, -3*c - d = -2*j. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 40, 110, 170, 214, 236, 230, 190, 110?\n\"Answer: -o**3 + o**2 + 74*o - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 5*a + 12 = 0. Suppose 6*k - k - 20 = -a*p, 0 = -p + 4*k + 1. Find the second derivative of 0*x - x - 7*x**p + 0*x wrt x.\nAnswer: -140*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a + 4*a + 12, -2*a = 4*o + 4. Suppose 4*w + 0*v + 2*v = 8, 3*v = w - 9. Solve 0 = 2*r + 4*z - w + o, -2*z + 21 = -3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 (base 8) in base 13?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 50071 + -27286. What are the prime factors of v?\nAnswer: 3, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 3 u when four letters picked without replacement from {u: 3, m: 6, w: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -8 - (3 + 0 + -2 - 5 - -7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-374)\/(-22) - (1 - 0). Let q be (o\/20)\/(4\/10). Suppose q*u - 5*m = -0*u + 39, 5*u - 132 = m. Is u a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2865\/(-60) - (-1)\/(-4). Let a be k\/128 - 7\/(-8). What is the third biggest value in -0.4, 8, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of 0 + 4*t**2 + 0*t**3 + 0*t + 1\/12*t**4. Let q(d) = 3*d**2. Give q(g(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 197\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = -53*o - 20. Let y(j) = -130*j - 38. What is 10*c(i) - 4*y(i)?\nAnswer: -10*i - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -53\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-7) - ((-690)\/(-63))\/(-1). Let v = r - 10. Let s(z) = -z**2 + 3*z - 1. Let c be s(2). Is c greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(3 + ((sqrt(78)*1)\/sqrt(6))**2)*4 - (-1 + ((sqrt(1573) - -1*sqrt(1573)) + -4 + -3)**2).\nAnswer: -6276 + 308*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*x + 0*x - 30*x**2 + 5*x in the form d*x**2 + t + w*x and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(-4\/7)\/t)\/t**(-2\/9))\/(t**0*t*t*t\/(t\/t**(1\/7))*t)*(t*t**0)**(2\/51)\/(t**5\/((t\/(t**4\/t))\/t)) assuming t is positive.\nAnswer: t**(-13337\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 143209 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express (h - 50*h - 148*h)*(h + 6 + 2*h - 2*h) in the form q*h + s*h**2 + z and give q.\nAnswer: -1182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(1 + sqrt(1377))**2.\nAnswer: 90*sqrt(17) + 6890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 391371243?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.04 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2*j - 16. Let x be w(10). Solve 0*o = -h + 4*o + 12, -4*h - x*o + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g. Suppose 3*c - 6 = 3*n, -5*n + 0*c - 9 = -4*c. Let p be j(n). Is p at most -1\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 10, -172, 1 in decreasing order.\nAnswer: 10, 1, -10, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 57035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 > 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21 = v + 5*s, 4*v + 32*s - 34*s = -26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 97*n + 68*n - 20*n + 63*n to b*n + w and give b.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*(-12)\/(-330) - (-45)\/66?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d - r + 15 = 0, 12459*d - 12459*d + 6*r = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the third derivative of x**4\/12 - x**3\/6 + 5*x**2. Differentiate t(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/2)\/(1\/10). Suppose -a*j + 33 = -2*j. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 76.8258 weeks?\nAnswer: 46464243840000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o - 350332 + 350340 = -5*l, 0 = 4*o - 4*l - 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 144.6 + -144.54. Which is smaller: 3\/106 or c?\nAnswer: 3\/106","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine s so that s**2 + 1287239*s - 23170626 = 0.\nAnswer: -1287257, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-14)\/63 + (-924)\/(-27). Let g = d + -30. Let h be 48\/8*6\/g. Which is smaller: h or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/21)\/(130\/91).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (-6 + 5) - (0 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-2\/9)*u*(u**24\/u*u*u)\/u assuming u is positive.\nAnswer: u**(223\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}